2*t**4 - 4/9*t**3 + 0 + 0*t + 1/90*t**5. Solve a(b) = 0 for b.
-4, 1
Let f be (168/(-6) + 26)/(16/(-3)). Find d, given that -f*d - 1/4 - 1/8*d**2 = 0.
-2, -1
Let j(c) be the second derivative of -c**5/50 - 7*c**4/30 - 2*c**3/5 - 12*c. Suppose j(u) = 0. Calculate u.
-6, -1, 0
Let o = 835/1654 - 4/827. Let n(k) be the second derivative of 3*k**2 - o*k**4 + 1/10*k**5 - 6*k + 0 - 1/3*k**3. Solve n(a) = 0.
-1, 1, 3
Let k(p) be the third derivative of -p**7/30 - 2*p**6/15 - p**5/15 + 3*p**2 - 5*p. Factor k(a).
-a**2*(a + 2)*(7*a + 2)
Let p be 270/(-2025)*15/4 + 2/4. Suppose 9/5*h**2 + p - 3/5*h**3 + 0*h = 0. Calculate h.
0, 3
Let s(n) be the first derivative of 2*n**2 - n**4 + 9 + 0*n + 4*n**3 - 12/5*n**5. Suppose s(d) = 0. Calculate d.
-1, -1/3, 0, 1
Suppose -5*y = 5*s + 69 - 209, y - 13 = 4*s. Let r be ((-3)/(-5))/(30/y). What is j in 1/4*j**2 + r*j - 1/4*j**3 + 0 = 0?
-1, 0, 2
Suppose -5*q + v = -48 + 25, q + 3*v = -5. Factor -1/4*w**2 + 1/2*w**3 - 1/4*w**q + 0*w + 0.
-w**2*(w - 1)**2/4
Factor 0 + 2/5*r**2 + 2/5*r**3 - 4/5*r.
2*r*(r - 1)*(r + 2)/5
Let p be 12 - (-9 - 774/(-42)). Let 0 + 4/7*t + 2/7*t**5 - 10/7*t**4 - 2*t**2 + p*t**3 = 0. What is t?
0, 1, 2
Let y(l) be the third derivative of l**7/8820 - l**6/504 + l**5/105 + 5*l**4/24 - l**3/2 + l**2 - 11. Let d(x) be the second derivative of y(x). Factor d(w).
2*(w - 4)*(w - 1)/7
Let g(d) = 3*d**2 + 2*d. Let v(z) = 11*z**2 + 69*z. Let w(l) = 12*g(l) - 3*v(l). Let w(u) = 0. Calculate u.
0, 61
Factor 216*w**2 - 442*w**3 - 140*w**3 + 64*w**4 + 223*w + 10368 + 7948*w - 2*w**5 + 3061*w.
-2*(w - 12)**3*(w + 1)*(w + 3)
Let q(x) be the third derivative of -x**5/105 + 47*x**4/21 - 4418*x**3/21 + 5*x**2 + 73*x. Factor q(w).
-4*(w - 47)**2/7
Let t(w) = -w**2 - 12*w - 10 + 10*w + 4*w. Let v(y) = 2*y**2 - 5*y + 21. Let z(c) = 13*t(c) + 6*v(c). Factor z(l).
-(l + 2)**2
Suppose 3*n - 9 = -0*n. Determine b so that 72*b - 4 + 4*b**n + 73*b - 133*b - 12*b**2 = 0.
1
Let p(d) be the second derivative of -d**4/54 + 5*d**3/27 + 2*d**2/3 - 63*d. Factor p(v).
-2*(v - 6)*(v + 1)/9
Let f = -265 + 267. Let m(l) be the second derivative of 6*l**f + 7*l + 2*l**3 + 1/4*l**4 + 0. Determine i so that m(i) = 0.
-2
Let k(n) be the second derivative of -n**6/105 - 4*n**5/35 - 5*n**4/42 + 2*n**3/3 - 24*n + 1. Let k(u) = 0. Calculate u.
-7, -2, 0, 1
Let i be (-12)/(-5) - (14 + (-7)/((-245)/(-511))). Factor 6/7*q**i + 12/7*q + 18/7*q**2 + 0.
6*q*(q + 1)*(q + 2)/7
Let a be 1 + 2 - (-2 + 3). Let -19*l**a + l**2 + 15*l**2 = 0. What is l?
0
Let s(o) be the second derivative of o**4/12 + o**3/2 + 13*o**2 - o. Let w(k) = 3. Let f(u) = 3*s(u) - 24*w(u). What is z in f(z) = 0?
-2, -1
Suppose -5*z = -4*z - 7. Let j be 4/7 - (760/105 - z). Solve 0 + 0*b + j*b**5 + 2/3*b**4 + 0*b**2 + 1/3*b**3 = 0.
-1, 0
Let k(f) = 6 + 9*f + 2*f**2 - 5*f + 4*f. Let p(u) = 4*u**2 + 16*u + 11. Let h(z) = 11*k(z) - 6*p(z). Let h(s) = 0. What is s?
-4, 0
Find o such that -5/6 + 1/6*o**4 - 2*o**2 + 1/3*o**3 + 7/3*o = 0.
-5, 1
Suppose 36 = 12*w - 10*w. Suppose -2*b - 8 = 0, 0*o = -5*o + 2*b + w. Solve 4/3 + 2/3*l**4 + 2/3*l - 2/3*l**3 - o*l**2 = 0.
-1, 1, 2
Let o = -17080/3 - -5694. Find d such that 8/3*d + 0 + o*d**2 = 0.
-4, 0
Let d = 1259 + -1259. Let v(a) be the third derivative of -1/6*a**4 - 10*a**2 + 0 + 2/5*a**5 + 0*a - 1/6*a**6 + d*a**3. Factor v(k).
-4*k*(k - 1)*(5*k - 1)
Suppose -10 = -8*t + 3*t. Suppose -4*p - t + 14 = 0. Find i such that -16/7 - 10/7*i**p + 8/7*i + 2/7*i**4 + 12/7*i**2 = 0.
-1, 2
Let o(r) be the third derivative of r**8/40320 - r**7/2016 + r**6/360 + r**5/10 + 5*r**2. Let j(i) be the third derivative of o(i). Let j(q) = 0. What is q?
1, 4
Let f(p) be the third derivative of p**5/150 + p**4/30 - p**3/5 + 72*p**2. Solve f(t) = 0 for t.
-3, 1
Let l(g) be the third derivative of g**8/100800 - g**6/3600 - 7*g**5/60 + 3*g**2. Let z(v) be the third derivative of l(v). Factor z(n).
(n - 1)*(n + 1)/5
Let r(j) be the third derivative of -1/336*j**8 + 0*j**5 + 1/105*j**7 - 12*j**2 + 0*j + 0*j**3 + 1/40*j**6 + 0*j**4 + 0. Factor r(m).
-m**3*(m - 3)*(m + 1)
Let s be ((-2)/(-4))/(-3*(-2)/60). Suppose -13 - 5*y**3 + s*y - 9 + 22 = 0. What is y?
-1, 0, 1
Let w be (4 + (4 - 9))*-11. Determine q, given that -24 + 1 + 3*q**3 + 9*q**2 + w = 0.
-2, 1
Let h(l) be the third derivative of 0*l + 15*l**2 - 1/5*l**4 + 0 - 7/10*l**3 - 1/100*l**5. Solve h(f) = 0 for f.
-7, -1
Let x be (11/8 + -1)*(-4)/(-6). Let v(n) be the second derivative of n - x*n**3 - 1/16*n**4 + 0*n**2 + 0. Factor v(h).
-3*h*(h + 2)/4
Suppose -w = w + 36. Let p = 20 + w. Solve -20*s - 16*s**p + 5*s - 6 + 4*s**2 + 3 = 0.
-1, -1/4
Suppose -111*d - 119*d - 184*d = 0. Suppose -4*c + 4/3*c**2 + d = 0. What is c?
0, 3
Suppose -3*v = v + 3*c - 6, 3*c = -v + 6. Suppose -3*y - 12 = v, 2*t + 4*y = -3*t - 1. Factor -2/9*j**4 + 4/3*j**t - 26/9*j**2 - 8/9 + 8/3*j.
-2*(j - 2)**2*(j - 1)**2/9
Let s(y) = y**2 + 5*y - 10. Let v be s(-7). Let f be v*((-55)/(-50))/11. Factor 2/5*u**2 - 2/5 + f*u - 2/5*u**3.
-2*(u - 1)**2*(u + 1)/5
Suppose 3*o + 10 = 3*z + 4*o, 2*z - 3*o - 3 = 0. What is s in z*s**3 - 6 - 2*s - 47*s**5 + s**3 + 25*s**5 + 20*s**5 + 12*s**2 - 6*s**4 = 0?
-3, -1, 1
Let z = 16340/13 + -16318/13. Factor z + 2/13*j**2 + 24/13*j.
2*(j + 1)*(j + 11)/13
Suppose -9*l + 41 = 23. Let k(s) be the first derivative of -1 + 4/3*s**l - 7/18*s**3 - 2/3*s. Factor k(y).
-(y - 2)*(7*y - 2)/6
Let t(i) be the second derivative of -i**4/12 - 5*i**3/2 - 6*i**2 + 2*i. Let w be t(-14). What is p in 0*p**w + 2*p**2 - 8*p - 14*p**2 - 4*p**3 = 0?
-2, -1, 0
Let m = 9651 + -48243/5. Solve -8/5 - m*b + 3/5*b**4 + 6/5*b**2 + 11/5*b**3 = 0 for b.
-2, -2/3, 1
Let q(p) = 12*p**3 - p**2 + 13*p - 1. Let y be q(-3). Let x = -5593/15 - y. Factor 2/15 + x*z**3 - 2/15*z - 2/15*z**2.
2*(z - 1)**2*(z + 1)/15
Let t(l) be the first derivative of l**4/6 + 6*l**3 + 74*l**2/3 + 32*l + 270. Factor t(i).
2*(i + 1)*(i + 2)*(i + 24)/3
Let v(f) be the second derivative of -f**6/105 - 9*f**5/70 - 2*f**4/3 - 12*f**3/7 - 16*f**2/7 - f - 8. Solve v(w) = 0 for w.
-4, -2, -1
Let y be ((-11)/330)/(-6 + 1). Let o(d) be the third derivative of 0 - 2*d**2 + y*d**5 + 2/15*d**3 + 1/20*d**4 + 0*d. Suppose o(j) = 0. Calculate j.
-2, -1
Let j(v) be the second derivative of -3/13*v**2 - 1/78*v**4 + 0 + 4/39*v**3 + 41*v. Suppose j(h) = 0. What is h?
1, 3
Let y = 36093/8 - 4507. Factor -15/2*r + 1/8*r**4 + 9/2 - 5/4*r**3 + y*r**2.
(r - 3)**2*(r - 2)**2/8
Let a be 140/(-245) - (-40)/28. Factor 2/7*p + a*p**2 + 0.
2*p*(3*p + 1)/7
Let m be (4/10)/(10/50). Factor -14*w - 8*w + m*w + 5*w**3.
5*w*(w - 2)*(w + 2)
Let m = 292 - 300. Let s be (5 - 9 - m) + (-60)/21. Let 0*f + 2/7*f**2 - s = 0. What is f?
-2, 2
Let t(c) be the first derivative of 5*c**4/4 - 475*c**3/3 + 11515*c**2/2 - 11045*c + 190. Solve t(m) = 0.
1, 47
Let g(z) be the third derivative of -z**5/5 + 32*z**4/3 + 88*z**3/3 - 84*z**2. Factor g(s).
-4*(s - 22)*(3*s + 2)
Factor -32*r**3 + 44*r**3 + 288*r + 152*r**2 + 234 + 84*r - 2*r**4.
-2*(r - 13)*(r + 1)*(r + 3)**2
Let a = 20 + -15. Factor 4*l - 2*l**4 - 8*l**2 - 4*l**a + 0*l**5 + 10*l**4.
-4*l*(l - 1)**3*(l + 1)
Let n(u) = u + 2. Let r(a) = 5*a**2 - 15*a - 10. Let x(q) = 5*n(q) + r(q). Factor x(l).
5*l*(l - 2)
Let k(p) be the third derivative of -1/40*p**5 + 0 + 1/224*p**8 + 0*p**4 + 0*p - 3/140*p**7 + 0*p**3 + 3/80*p**6 - 4*p**2. Solve k(d) = 0.
0, 1
Let f(d) be the first derivative of -2*d**3/21 - 47*d**2/7 - 180*d/7 + 182. Factor f(c).
-2*(c + 2)*(c + 45)/7
Let q = -16 - -8. Let d(z) = 12*z**3 + 4*z - 8. Let x(j) = j**3 + j - 1. Let u(c) = q*x(c) + d(c). Factor u(m).
4*m*(m - 1)*(m + 1)
Let i(v) be the third derivative of -v**6/840 - 7*v**5/60 + 25*v**4/84 - 981*v**2. Suppose i(k) = 0. Calculate k.
-50, 0, 1
Let a = 17/264 + 141/88. Suppose 4 = z + z. Find y, given that 2/3 - a*y - 1/3*y**3 + 4/3*y**z = 0.
1, 2
Suppose 128 = 3*j - 34. Let m = 58 - j. Factor 0 + 0*q + 1/2*q**m + 3/2*q**2 + 2*q**3.
q**2*(q + 1)*(q + 3)/2
Suppose 9*s = -0*s + 135. Suppose -21*y + s*y = -12. Find o such that -1/5*o**4 + 1/5*o + 1/5*o**y - 1/5*o**3 + 0 = 0.
-1, 0, 1
Let h(x) = x**3 + 4*x**2 + 4. Let v be h(-4). Suppose -v*p = 5*u - 14, -2*p - 2 = u - 6. Factor 3*t**u - 30*t**3 - 12*t**4 + 9*t**3 + 36*t**4 + 48*t**5.
3*t**2*(t + 1)*(4*t - 1)**2
Let t(b) be the first derivativ