*n**2 - 2*n. Let j(r) be the first derivative of u(r). Suppose j(v) = 0. Calculate v.
-1, 2
Let j(q) be the third derivative of -q**6/270 - q**5/27 - q**2 + 26. Factor j(i).
-4*i**2*(i + 5)/9
Factor -12 + 9*o - 3 - 134*o**2 - 5 - 2 + 146*o**2 + o**3.
(o - 1)*(o + 2)*(o + 11)
Suppose 11*j = -0*j + 759. Suppose j*w + 9 = 72*w. Solve -1/2*y**2 + 1/4*y**w + 1/2 - 1/4*y = 0 for y.
-1, 1, 2
Let k(a) be the first derivative of -2*a**5/25 - 18*a**4/5 - 288*a**3/5 - 1728*a**2/5 + 76. Factor k(z).
-2*z*(z + 12)**3/5
Let v(i) be the third derivative of -1/70*i**5 + 0*i - 1/784*i**8 - 21*i**2 + 0*i**6 + 1/56*i**4 + 0*i**3 + 1/245*i**7 + 0. Factor v(r).
-3*r*(r - 1)**3*(r + 1)/7
Let h(j) be the first derivative of 1/36*j**6 + 1/15*j**5 + 1 - 1/9*j**3 - 1/24*j**4 + 0*j + 0*j**2. Factor h(q).
q**2*(q - 1)*(q + 1)*(q + 2)/6
Solve 0*d + 3/5*d**5 + 0 + 3/5*d**4 - 24/5*d**3 - 36/5*d**2 = 0.
-2, 0, 3
Find c such that -36/5*c**2 - 64*c - 256/5 - 2/5*c**4 + 26/5*c**3 = 0.
-2, -1, 8
Let -195*o**3 + 7*o**4 + 13*o**4 + 0*o**4 - 71*o**2 + 21*o**2 = 0. Calculate o.
-1/4, 0, 10
Let m = -116 + 80. Let s be 1 - (-4)/3*m/64. Factor -1/4*t + 1/2 - s*t**2.
-(t - 1)*(t + 2)/4
Let u(v) = -v**2 - v + 1. Let s(d) = 42*d**3 + d + 0*d**2 - 5 + d**2 - 43*d**3. Let c(z) = s(z) + 5*u(z). Factor c(n).
-n*(n + 2)**2
Let p(a) be the second derivative of -a**5/5 + 7*a**4/3 + 2*a**3/3 - 14*a**2 + 127*a. Factor p(m).
-4*(m - 7)*(m - 1)*(m + 1)
Let l(a) be the first derivative of a**8/336 + 5*a**7/168 + 7*a**6/72 + a**5/8 + a**3 + 1. Let y(n) be the third derivative of l(n). Factor y(o).
5*o*(o + 1)**2*(o + 3)
Let v(c) be the third derivative of c**10/75600 - c**8/10080 + c**5/12 - 39*c**2. Let z(x) be the third derivative of v(x). Factor z(u).
2*u**2*(u - 1)*(u + 1)
Solve -13*p**4 - 8675*p**3 - 12 + 61*p**4 + 116*p + 316*p**2 + 8911*p**3 = 0.
-3, -1, 1/12
Suppose 2*i - 19 = -3*t + 8, 0 = -i - 4*t + 26. Suppose -4*q = -14 + i. Determine b, given that -2/7 + 6/7*b**4 + 4/7*b**3 - 4/7*b**q + 2/7*b**5 - 6/7*b = 0.
-1, 1
Let s(n) be the second derivative of -n**6/10 + n**5/5 + n**4/3 - 11*n. Suppose s(x) = 0. Calculate x.
-2/3, 0, 2
Let n(t) be the second derivative of t**6/10 + 6*t**5/5 - 18*t**4 + 80*t**3 - 168*t**2 + t - 181. Factor n(f).
3*(f - 2)**3*(f + 14)
Let q = -37 - -1185/32. Let u(d) be the third derivative of -q*d**4 + 0*d - 1/280*d**7 + 0*d**3 + 1/160*d**6 + 0 + 4*d**2 + 1/80*d**5. Factor u(i).
-3*i*(i - 1)**2*(i + 1)/4
Let -12 - 52/3*f**3 - 155/3*f**2 - 48*f - 5/3*f**4 = 0. What is f?
-6, -3, -1, -2/5
Let y(u) be the first derivative of u**5/20 - u**4/4 + u**3/2 - u**2/2 + 35*u + 28. Let n(z) be the first derivative of y(z). Factor n(v).
(v - 1)**3
Factor 2/7*r**3 + 66/7 + 94/7*r + 30/7*r**2.
2*(r + 1)*(r + 3)*(r + 11)/7
Suppose b + y + 7 = 0, 0*b = b + 2*y + 6. Let r be (-4 - 80/(-24)) + b/(-3). Factor -16/3*c - r - 44/9*c**2 - 2/9*c**4 - 16/9*c**3.
-2*(c + 1)**2*(c + 3)**2/9
Let m(k) = -3*k**5 + 36*k**4 + 57*k**3 + 3. Let s(l) = -7*l**5 + 108*l**4 + 172*l**3 + 8. Let c(q) = 8*m(q) - 3*s(q). Find r such that c(r) = 0.
-10, -2, 0
Let k(n) be the third derivative of -n**6/72 + n**5/8 - 5*n**4/12 + 2*n**3 + 8*n**2. Let x(b) be the first derivative of k(b). Factor x(r).
-5*(r - 2)*(r - 1)
Let k(o) be the second derivative of -22*o**7/273 + 27*o**6/65 - 29*o**5/65 - 6*o**4/13 + 8*o**3/39 + 6*o. Solve k(s) = 0 for s.
-1/2, 0, 2/11, 2
Let p(l) = -9*l**2 + 54*l - 120. Let k(w) = -10*w**2 + 55*w - 120. Let g(o) = 4*k(o) - 5*p(o). Determine h so that g(h) = 0.
4, 6
Suppose 3 = 5*a - 17. Let p be ((-1)/4)/(2/a)*-4. Solve -3/5*r**3 + 0*r**p + 0 + 0*r = 0.
0
Let v(a) = a**4 - a**2 + 5. Let c(t) = -3*t**4 + 156*t**3 + 167*t**2 - 320*t + 5. Let x(b) = c(b) - v(b). Let x(l) = 0. Calculate l.
-2, 0, 1, 40
Suppose 12 = 3*z + 3. Suppose -847*j**5 + 850*j**5 + 0*j**z - 3*j**3 = 0. Calculate j.
-1, 0, 1
Let b(y) be the second derivative of y**6/360 - y**5/40 + y**4/144 + y**3/3 + 2*y**2/3 + 3*y - 29. Factor b(j).
(j - 4)**2*(j + 1)**2/12
Let b(m) be the second derivative of m**7/1120 - m**6/192 + m**5/80 - 3*m**4/4 - m. Let r(t) be the third derivative of b(t). Let r(q) = 0. Calculate q.
2/3, 1
Suppose 2/5*c**2 + 19360 + 176*c = 0. What is c?
-220
Let z = -30188 - -30191. Factor 0 + 0*o + 6/7*o**2 - 39/7*o**z.
-3*o**2*(13*o - 2)/7
Let c(o) be the first derivative of -4*o**5/5 + 4*o**4 - 16*o**3/3 + 44. Factor c(g).
-4*g**2*(g - 2)**2
Let m(b) = 10*b**3 - 88*b**2 + 294*b - 210. Let s(r) = r**3 - r + 1. Let k(n) = m(n) - 6*s(n). Suppose k(y) = 0. Calculate y.
1, 3, 18
Let p(b) be the first derivative of -15*b**4/4 + 6*b**3 - 3*b**2/2 - 35. Factor p(f).
-3*f*(f - 1)*(5*f - 1)
Let d = 276 + -274. Factor 4/7*z**4 + 0 - 2/7*z**3 + 0*z + 0*z**d - 2/7*z**5.
-2*z**3*(z - 1)**2/7
Let j(s) = -4*s. Let f be j(1). Let r(p) = p**3 + 5*p**2 + 4*p + 2. Let y be r(f). Factor 4*c - c + 9 + y*c**3 - c**3 - 5*c**2.
(c - 3)**2*(c + 1)
Let j(i) = -i**2 + 4*i + 7. Let l be j(5). Factor -15 + 19 - 5*w**3 - 2*w**2 - 2*w**l + w**3 + 4*w.
-4*(w - 1)*(w + 1)**2
Let -488/7*f**2 - 144/7*f + 324/7 + 16*f**3 + 28*f**4 = 0. Calculate f.
-9/7, 1
Suppose 9*b = 7*b. Suppose -3*r - 3*a - 3 = b, 0*r + 4*a + 7 = -3*r. Suppose 16*h**r + 21*h**3 - 39*h**3 + 0*h + 4*h**2 - 2*h = 0. What is h?
0, 1
Let i(j) be the second derivative of -j**8/840 - j**7/140 - j**6/90 - 17*j**3/6 - 11*j. Let d(w) be the second derivative of i(w). Factor d(f).
-2*f**2*(f + 1)*(f + 2)
What is c in 0*c - 1/4*c**3 + 1/2*c**2 + 0 - 1/2*c**4 + 1/4*c**5 = 0?
-1, 0, 1, 2
Let v(u) be the second derivative of u**7/840 - u**6/80 + u**5/20 + u**4 - 4*u. Let y(t) be the third derivative of v(t). Factor y(i).
3*(i - 2)*(i - 1)
Let w(z) = 9*z**4 + 54*z**3 - 13*z + 13. Let l(h) = -4*h**4 - 26*h**3 + 6*h - 6. Let f(r) = 13*l(r) + 6*w(r). Factor f(j).
2*j**3*(j - 7)
Let b(y) be the second derivative of -5*y**6/36 + y**5/18 + 4*y**4/9 + 4*y**3/9 + 7*y**2 + 27*y. Let i(r) be the first derivative of b(r). Factor i(w).
-2*(w - 1)*(5*w + 2)**2/3
Let m(j) = -11*j - 11. Let h be 1*(3 + -1) + 25 + -28. Let s be m(h). Factor 2/7*x**2 - 2/7 + s*x.
2*(x - 1)*(x + 1)/7
Let k(t) = 3*t**3 + 11*t**2 + 17*t + 13. Let v(l) = l**2 + l - 1. Let i = -13 - -12. Let b(o) = i*k(o) - 4*v(o). Find g such that b(g) = 0.
-3, -1
Let p(v) be the second derivative of 1/8*v**6 + 1/8*v**7 - 27/80*v**5 + 0 + 0*v**2 + 1/4*v**3 - 5/16*v**4 + 34*v. Let p(l) = 0. What is l?
-1, 0, 2/7, 1
Let b be ((-2)/(-1))/((-14)/(-469)). Suppose 0 = 3*t + 4*y - 21, 7*t = 2*t + 4*y + b. Find v such that v**3 + t*v**2 - v**4 - 10*v**2 - v**5 + 0*v**3 = 0.
-1, 0, 1
Let z = -2 + 5. Find d, given that -d**z - 5*d**3 - 6*d**2 + 2*d**3 + 2*d**2 = 0.
-1, 0
Let g = -2489/5 - -498. Let p be (-18)/10 - (0 - 2). Solve -g*d**3 - 1/5*d**2 + p*d + 1/5 = 0.
-1, 1
Let h be (3*-1)/(27/(-18)). Suppose 3*i + 2*i**2 + 2*i**h + 2 - 3*i**2 - 6*i = 0. What is i?
1, 2
Suppose -3*q + 6 = -9. Let v be 19/q + (-2)/(-10). Determine f so that v + 0 - 3*f - 2*f**2 + f = 0.
-2, 1
Let n(z) = -z**2 + 1. Let g(d) = -5*d**4 + 14*d**3 - 2*d**2 - 7. Let h(i) = 5*g(i) + 35*n(i). Factor h(w).
-5*w**2*(w - 1)*(5*w - 9)
Factor 0*d + 1/3*d**2 - 1/3*d**3 + 0.
-d**2*(d - 1)/3
Let c(d) be the second derivative of d**4/42 + 38*d**3/21 + 361*d**2/7 + d - 12. Find y, given that c(y) = 0.
-19
Let v(f) be the second derivative of -f**4/4 - 10*f**3 + 66*f**2 - 988*f. Factor v(w).
-3*(w - 2)*(w + 22)
Suppose -11*v + 12*v = -3. Let z be -10*(12/8)/v. Solve -h**z + 4*h**4 - 12*h**3 - h**4 + 9*h**3 + h**2 = 0 for h.
0, 1
Let m = -10307 + 10312. Let -4*w**2 - 2/3*w + 4/3*w**3 + 2 + 2*w**4 - 2/3*w**m = 0. Calculate w.
-1, 1, 3
Let a(o) = o**2 + 10*o + 2. Let b be a(0). Let f be 1/(-1) - (-34)/12. Let -3*v**b + 3/2*v**3 - 1/3 + f*v = 0. Calculate v.
1/3, 2/3, 1
Let m be (-9)/27 - ((-100)/(-6) - 0). Let o = m - -20. Solve -6/7*p - 2/7*p**o - 18/7 + 10/7*p**2 = 0 for p.
-1, 3
Let l(q) be the first derivative of -1/24*q**4 + 1/120*q**5 - 1/1440*q**6 - 5 + 5/3*q**3 + 0*q**2 + 0*q. Let x(s) be the third derivative of l(s). Factor x(o).
-(o - 2)**2/4
Let v(o) = -o**2 - o - 1. Suppose 3*s = 5*s - 16. Let g(a) = 12*a**2 + 24*a - 12. Let u(y) = s*v(y) + g(y). Solve u(b) = 0 for b.
-5, 1
Let f(k) be the first derivative of 4*k**5/45 - k**4/3 + 4*k**3/9 - 2*k**2/9 - 71. Factor f(p).
4*p*(p - 1