or -24*z**2 + 36/5*z**3 - 42/5 + 124/5*z + 2/5*z**4.
2*(z - 1)**3*(z + 21)/5
Let s(f) be the second derivative of 17*f + 4*f**4 + 0*f**2 + 0 - 9/5*f**5 - 8/3*f**3. Suppose s(t) = 0. What is t?
0, 2/3
Let z(d) be the first derivative of -d**6/16 - 9*d**5/40 - 3*d**4/16 + 59. Solve z(o) = 0.
-2, -1, 0
Let b(k) be the third derivative of k**5/100 + 3*k**4/5 + 23*k**3/10 - k**2 + 87. Factor b(n).
3*(n + 1)*(n + 23)/5
Let 0*z + 0*z**2 + 4/5*z**3 + 2/5*z**4 - 2/5*z**5 + 0 = 0. What is z?
-1, 0, 2
Let n(z) be the second derivative of 0 + 1/60*z**5 + 1/90*z**6 - 1/36*z**4 - 1/18*z**3 + 14*z + 0*z**2. Suppose n(a) = 0. What is a?
-1, 0, 1
Let u(w) be the third derivative of 0*w + 0*w**4 + 0*w**3 + 0 + 1/15*w**5 - 1/30*w**6 + w**2. Let u(n) = 0. Calculate n.
0, 1
Let u(b) be the third derivative of -b**6/40 - 2*b**5/5 - 5*b**4/8 + 25*b**3 - 4*b**2. Factor u(w).
-3*(w - 2)*(w + 5)**2
Suppose -9*n = -23*n. Let w(u) be the third derivative of n*u**3 - 5*u**2 + 0*u - 1/132*u**4 + 0 - 1/330*u**5. Find k, given that w(k) = 0.
-1, 0
Find x, given that 21*x - 13*x**3 + 10*x**4 - x**5 + 6*x + 4*x**2 - 9*x**3 - 4*x - 10 - 4 = 0.
-1, 1, 2, 7
Suppose 5*n - 22 = 3*l, -5*l - 4*n = -30 + 5. Factor -3*g**3 + 8*g + l + 2*g**3 - 4*g**2 + 15 - g**3.
-2*(g - 2)*(g + 2)**2
Let g = 47 - 44. Factor 80*z**g + 85*z - 3*z**2 - 54*z**2 + 18*z**2 - 10 - 161*z**2.
5*(z - 2)*(4*z - 1)**2
Let d = 4363 - 654443/150. Let c(h) be the second derivative of -d*h**6 + 0*h**3 + 0*h**2 + 3/25*h**5 + 0 + 6*h + 1/15*h**4. Solve c(b) = 0.
-2/7, 0, 2
Let s = -246 - -251. Let w(o) be the first derivative of -s - 6*o + 14*o**3 + 9/2*o**2. Find t such that w(t) = 0.
-1/2, 2/7
Suppose 0 = -3*p - 1 + 13. Factor -4*u + 8*u**3 + 8*u**2 - u**p - 6 + 2 - 4*u**5 + 0*u**4 - 3*u**4.
-4*(u - 1)**2*(u + 1)**3
Suppose -4*x + 5*w + 173 = 0, -3*w = 3*x - 0*w - 123. Suppose -42 = 5*b - x. What is n in 6/5*n**2 + b - 2/5*n = 0?
0, 1/3
Let s(d) be the third derivative of d**5/180 - 5*d**4/36 - 4*d**3/3 - 409*d**2. Factor s(z).
(z - 12)*(z + 2)/3
Let v(p) be the first derivative of 9*p**4/28 + 86*p**3/7 + 138*p**2 + 168*p + 11. Suppose v(z) = 0. What is z?
-14, -2/3
Let o be (3/(-6))/(6/(-36)). Suppose -2*r**3 - 15 - 9*r**2 - 7*r**2 + 11*r**2 + 25*r - o*r**3 = 0. Calculate r.
-3, 1
Suppose -5*d + 11 = -5*v - 4, -5*d + 6 = 4*v. Let t = 30150 + -90449/3. Factor 1/3*s**d + 0 - t*s**3 + 0*s.
-s**2*(s - 1)/3
Let x(u) = -4*u**4 - 9*u**3 + 7*u**2 + 15*u + 3. Let s(c) = 4*c**4 + 8*c**3 - 8*c**2 - 16*c - 4. Let q(y) = 3*s(y) + 4*x(y). Determine i so that q(i) = 0.
-3, -1, 0, 1
Let j(o) be the first derivative of o**4/4 + 7*o**3/3 - 17*o**2/2 + 9*o + 311. Factor j(h).
(h - 1)**2*(h + 9)
Let d(x) be the first derivative of x**7/210 + x**6/90 - 10*x**3/3 - 13. Let i(s) be the third derivative of d(s). Determine w, given that i(w) = 0.
-1, 0
Let s be (1*2)/((24/(-57))/4). Let a be s/(-15) - 6/10. Let -a*w**3 + 0 + 0*w - 2/3*w**2 = 0. What is w?
-1, 0
Let o(s) be the first derivative of 4*s**6/105 - s**4/14 + s**3/21 + 19*s - 42. Let q(m) be the first derivative of o(m). Determine b so that q(b) = 0.
-1, 0, 1/2
Let d(v) be the first derivative of 2*v**3/3 - v**2/2 + 3. Let x be d(2). Solve -j**5 + 2 + 3 + 6*j**3 + x*j**4 - 2 + 11*j + 14*j**2 - 7*j**4 = 0.
-1, 3
Let t(z) be the third derivative of z**8/1176 - z**7/735 - z**6/140 + z**5/42 - z**4/42 + 65*z**2. Factor t(q).
2*q*(q - 1)**3*(q + 2)/7
Let a be (-3844)/(-5530) - 16/(-112). Let i = a - 3/79. Factor 8/5 - i*h**2 + 4/5*h.
-4*(h - 2)*(h + 1)/5
Let r(q) be the first derivative of -25*q**3/9 + 530*q**2/3 - 140*q - 207. Find h, given that r(h) = 0.
2/5, 42
Let k(g) = -4*g**4 - 8*g**3 + 20*g**2 + 21*g. Let f(t) = -4*t**4 - 8*t**3 + 20*t**2 + 22*t. Let n(p) = 3*f(p) - 2*k(p). Factor n(s).
-4*s*(s - 2)*(s + 1)*(s + 3)
Let n be 2/(-14)*(-17 + 15). Let m(y) be the second derivative of -n*y**2 - 7*y + 1/3*y**3 + 0 + 3/14*y**4. Suppose m(c) = 0. Calculate c.
-1, 2/9
Let x(o) be the third derivative of -o**5/30 + 19*o**4/12 + 20*o**3/3 - 19*o**2 + 18. Factor x(h).
-2*(h - 20)*(h + 1)
Let c(d) = -d**2 - 12*d - 28. Let w be c(-8). Let v be (-402)/(-78) - (-2)/(-13). Factor -2/7*a**v - 12/7*a**3 + 8/7*a**2 - 2/7*a + 0 + 8/7*a**w.
-2*a*(a - 1)**4/7
Factor 1/6*y**2 - 23/3*y + 0.
y*(y - 46)/6
Let n = -12724 + 101801/8. Factor 0 - 3/8*q**2 + 0*q + 3/8*q**5 + 9/8*q**3 - n*q**4.
3*q**2*(q - 1)**3/8
Factor -c**4 + 25*c**2 + 3*c**4 + 11*c**2 + 4*c**3 - 34*c**2.
2*c**2*(c + 1)**2
Suppose -110*j + 296 - 76 = 0. Determine q so that -5/4*q + 5/4*q**j + 0 = 0.
0, 1
Let s(t) be the second derivative of -3*t**6/25 - 7*t**5/50 + t**4/15 + 72*t. Factor s(i).
-2*i**2*(i + 1)*(9*i - 2)/5
Let z = 8 + 2. Find h such that z*h**2 + 9*h**2 - 8 + 6*h - 20*h**2 = 0.
2, 4
Suppose -35 = 3*x + 2*m - m, 5*x + 75 = -5*m. Let p = 12 + x. Factor -6*w**3 + 17*w**p - 20*w**2 - 9*w**4 + 14*w**2 + 4*w - 4.
-(w + 1)**2*(3*w - 2)**2
Factor 0 + 3/2*b**3 + 0*b + b**2 + 0*b**4 - 1/2*b**5.
-b**2*(b - 2)*(b + 1)**2/2
Let 34/3*k**2 + 0 + 10*k**3 - 2/3*k**5 + 2*k**4 + 4*k = 0. Calculate k.
-1, 0, 6
Let r(v) be the first derivative of -2*v**3/9 + 25*v**2/3 - 16*v - 32. Determine o so that r(o) = 0.
1, 24
Let x = -6/2383 - -1153402/11915. Let x - 4/5*b**3 + 92/5*b**2 - 572/5*b = 0. Calculate b.
1, 11
Let d(u) be the second derivative of u**6/120 + u**5/60 + 3*u**2/2 + 10*u. Let j(n) be the first derivative of d(n). Factor j(q).
q**2*(q + 1)
Let l be (-10)/3*(-72)/40. Suppose 2*f + l = 10. Solve -3*c + 2*c + 6*c**2 + 5*c - f*c**2 = 0 for c.
-1, 0
Let y(t) be the first derivative of 4*t**3/3 + 30*t**2 - 64*t + 69. Factor y(j).
4*(j - 1)*(j + 16)
Let r(c) = -c - 7. Let v be r(-10). Let b(s) be the first derivative of 4/9*s - 2/9*s**3 + 1/9*s**2 + 2/45*s**5 + v - 1/18*s**4. Factor b(p).
2*(p - 2)*(p - 1)*(p + 1)**2/9
What is u in 1/6*u**2 - 13*u + 507/2 = 0?
39
Let k be ((-2)/4)/(-9*4/16). Let r(z) be the first derivative of 1/9*z**6 + 4/45*z**5 - k*z**4 - 4/27*z**3 + 1/9*z**2 + 0*z + 3. What is a in r(a) = 0?
-1, 0, 1/3, 1
Let h(m) be the second derivative of 117/110*m**5 + 0 - 27/55*m**6 + 4/33*m**3 + 58*m - 20/33*m**4 + 0*m**2. Factor h(d).
-2*d*(d - 1)*(9*d - 2)**2/11
Let r(j) be the third derivative of j**5/120 - j**4/4 + 5*j**3/3 - 2*j**2 + 7*j. Find z, given that r(z) = 0.
2, 10
Factor -512/3 + 64/3*n - 2/3*n**2.
-2*(n - 16)**2/3
Suppose 11*f - 22 = -0. Suppose 2/3*x**3 + 0 + 0*x - 2/9*x**4 - 4/9*x**f = 0. Calculate x.
0, 1, 2
Factor 2/11*x**3 - 6/11 - 2/11*x**2 - 10/11*x.
2*(x - 3)*(x + 1)**2/11
Let f(q) be the third derivative of -q**6/40 + q**5/2 + q**4/8 - 5*q**3 + 2*q**2 - 50*q. Let f(o) = 0. What is o?
-1, 1, 10
Let f = -417 - -216. Let n = -199 - f. Determine g so that 3/2 + 2*g + 1/2*g**n = 0.
-3, -1
Let q(h) be the second derivative of -5*h**4/3 - 2*h**3 + 4*h**2 + 4*h + 56. Find d, given that q(d) = 0.
-1, 2/5
Let t(l) be the second derivative of -l**5/20 + 7*l**4/12 - l**3 - 170*l. Suppose t(q) = 0. What is q?
0, 1, 6
Let f(c) be the second derivative of 0 - 1/105*c**6 + 2/7*c**2 + 3/70*c**5 - 1/42*c**4 + 6*c - 1/7*c**3. Let f(h) = 0. Calculate h.
-1, 1, 2
Let l(d) be the third derivative of 0*d + 2*d**2 + 0 - 1/96*d**4 + 1/12*d**3 - 1/240*d**5. Factor l(r).
-(r - 1)*(r + 2)/4
Suppose 4*z - 3 = 17. Let d(u) = -u**3 + 12*u**2 - u + 14. Let j be d(12). Solve -i**j + 6 + i + 1 - z = 0.
-1, 2
Let w(g) be the second derivative of -9*g**5/2 - 4*g**4/3 + 4*g**3/3 - 88*g. Factor w(f).
-2*f*(5*f + 2)*(9*f - 2)
Suppose 36 - 2 = 2*m. Factor -29*n**2 + 11*n + 4 + m*n**2 - 3*n.
-4*(n - 1)*(3*n + 1)
Let y = -81 + 93. Let w be ((-114)/(-28) - 4)/(1/y). Solve -w*u**3 + 0 - 4/7*u + 2*u**2 = 0 for u.
0, 1/3, 2
Let q(x) = x**2 - x - 1. Let c(k) = 15*k**3 - 34*k**2 + 29*k - 16. Suppose -4*i = 4*u - 8, 3*u - 3*i = 2*u - 10. Let j(o) = u*c(o) + 6*q(o). Factor j(d).
-5*(d - 1)**2*(3*d - 2)
Let d(k) be the third derivative of -k**6/540 + k**5/270 + k**4/18 + 610*k**2. Determine v, given that d(v) = 0.
-2, 0, 3
Let l(a) be the first derivative of a**6/33 + 4*a**5/11 - 36*a**4/11 + 100*a**3/33 + 71*a**2/11 - 120*a/11 + 558. Solve l(w) = 0 for w.
-15, -1, 1, 4
Suppose 3*q = 13*s - 14*s - 209, 4*s = -5*q - 353. Let d = 74 + q. Factor -2/7*g**d + 8/7*g**4 - 12/7*g**3 + 0 - 2/7*g + 8/7*g**2.
-2*g*(g - 1)**4/7
Let g(u) be the first derivative of -