1*c**2 - 15*c + 10. Let i(p) = u*n(p) - 2*w(p). Solve i(q) = 0.
-2, 1
Let z = 85 + -83. Let a(b) be the second derivative of 0 + z*b - 2*b**2 - 1/3*b**3 + 1/6*b**4. Factor a(d).
2*(d - 2)*(d + 1)
Let r be (-3)/9 + (-2)/(-3). Let y(j) be the second derivative of -r*j**4 + j**3 + 1/21*j**7 - j - 2/5*j**5 + 2*j**2 + 0 + 0*j**6. What is a in y(a) = 0?
-1, 1, 2
Let x(l) be the first derivative of 5*l**6/51 - 14*l**5/85 + l**4/17 - 20. Factor x(v).
2*v**3*(v - 1)*(5*v - 2)/17
Let x(r) be the second derivative of -r**5/80 + r**4/48 - 16*r. Factor x(d).
-d**2*(d - 1)/4
Factor -28/15*g + 0 - 2/15*g**2.
-2*g*(g + 14)/15
Let m(w) be the first derivative of -w**8/168 + w**7/105 + w**6/60 - w**5/30 - w**2/2 + 3. Let s(z) be the second derivative of m(z). Let s(i) = 0. What is i?
-1, 0, 1
Let r(t) be the first derivative of 14*t**3 + 3 - 36/5*t**5 + 7/2*t**6 - 9/2*t**2 - 6*t - 3*t**4. Solve r(g) = 0.
-1, -2/7, 1
Let q(p) = -4*p + 120. Let v be q(29). Determine s, given that 2/7*s**2 + 0 - 2/7*s**5 + 0*s + 2/7*s**3 - 2/7*s**v = 0.
-1, 0, 1
Factor -20*j**5 + 11*j**5 - 15*j**4 + 10*j**3 + 14*j**5.
5*j**3*(j - 2)*(j - 1)
Let g = 13 - 7. Let j = -4 + g. Solve 2 - 4*l**j + 0*l**4 + 4*l**4 - 4*l**3 - 2*l**4 + 2*l**5 + 2*l = 0.
-1, 1
What is i in -4/5 - 2/5*i**2 + 6/5*i = 0?
1, 2
Suppose -2*z - 16 = -6*z. Let o(x) be the third derivative of x**2 - 1/48*x**z + 0*x + 1/120*x**5 + 0 + 1/240*x**6 - 1/12*x**3. Factor o(d).
(d - 1)*(d + 1)**2/2
Determine s so that 8/3*s + 0 + 2/3*s**4 - 8/3*s**3 - 2/3*s**2 = 0.
-1, 0, 1, 4
Let t = -33 + 133/4. Let w be ((-6)/(-8))/((-156)/(-104)). Let 0*c**2 + w*c**3 + 1/4*c**4 - 1/2*c - t = 0. What is c?
-1, 1
Let j(v) be the third derivative of -7*v**6/60 + v**5 - 3*v**4 + 8*v**3/3 + 27*v**2. Find m, given that j(m) = 0.
2/7, 2
Let l = 7 - 7. Let g be l + ((-12)/(-9))/2. Factor 0*o - 1/3*o**4 + g*o**2 - 1/3 + 0*o**3.
-(o - 1)**2*(o + 1)**2/3
Let n(t) be the second derivative of t + 0 - 1/80*t**5 - 1/24*t**3 + 0*t**2 + 1/24*t**4. Factor n(z).
-z*(z - 1)**2/4
Let f be (8/64)/((-1)/(-2)). Let h(v) be the first derivative of -1/10*v**5 - f*v**2 - 1/2*v + 1/3*v**3 - 1/12*v**6 + 2 + 1/4*v**4. Solve h(j) = 0 for j.
-1, 1
Suppose 4*t + 125 - 137 = 0. Let q = -84 - -758/9. Determine o, given that q*o - 2/9*o**t + 2/9 - 2/9*o**2 = 0.
-1, 1
Determine x, given that 64/5*x**2 + 4/5 - 32/5*x = 0.
1/4
Suppose -13*m + 9 = -10*m. Let l(t) be the second derivative of t + 1/3*t**m + 0 - 1/20*t**5 + 1/12*t**4 + 0*t**2. Determine f, given that l(f) = 0.
-1, 0, 2
Let o be 199/112 + (-51)/816. Factor 0 - o*q**4 - 8/7*q - 26/7*q**3 - 2/7*q**5 - 24/7*q**2.
-2*q*(q + 1)**2*(q + 2)**2/7
Let g be (2/(-2))/(72/(-144)). Determine q so that -40/7*q**4 + 4/7 - 2/7*q + 86/7*q**3 - 48/7*q**g = 0.
-1/4, 2/5, 1
Factor -7/2*b**2 - 3/2*b**3 - 3/4 + 1/4*b**5 - 11/4*b + 1/4*b**4.
(b - 3)*(b + 1)**4/4
Let u(x) be the third derivative of -x**7/490 + x**5/70 - x**3/14 + 37*x**2. Factor u(f).
-3*(f - 1)**2*(f + 1)**2/7
Suppose 8*r = 4*r. Suppose 0*t + 3*t = r. Suppose 1/5*n**3 + 1/5*n**2 + t*n + 0 = 0. What is n?
-1, 0
Let z(m) = 7*m**4 - 5*m**3 - 6*m**2 + 6. Let v(i) = 20*i**4 - 14*i**3 - 17*i**2 + 17. Suppose h + 0*h = 6. Let d(p) = h*v(p) - 17*z(p). Factor d(b).
b**3*(b + 1)
Factor 0 + 4/13*f**3 - 2/13*f + 0*f**2 + 0*f**4 - 2/13*f**5.
-2*f*(f - 1)**2*(f + 1)**2/13
Factor -2*b + 0 - 6*b**2 - 1/2*b**5 - 13/2*b**3 - 3*b**4.
-b*(b + 1)**2*(b + 2)**2/2
Suppose -4*i + 1 + 11 = 0. Suppose -i*v = 2*v - 10. Suppose 1 - 2*t**3 + v*t + t + 3*t**4 - 6*t**4 + 2*t**2 - t**5 = 0. Calculate t.
-1, 1
Let n be (-4)/(-1) - (6 + -5). Let m(p) be the first derivative of -p**2 + 1 - 2/3*p - 1/6*p**4 - 2/3*p**n. Factor m(k).
-2*(k + 1)**3/3
Find m, given that 0 + 3/8*m - 1/8*m**2 = 0.
0, 3
Factor 0*v**2 - 4*v**4 - 4 + 5*v**5 + 4*v - 2*v**5 - 8*v**3 + 8*v**2 + v**5.
4*(v - 1)**3*(v + 1)**2
Suppose 1/8*k**3 + 0*k**2 + 0*k - 1/8*k**4 + 0 = 0. What is k?
0, 1
Let d(m) be the second derivative of 3*m**5/100 - m**4/20 - 11*m. Suppose d(p) = 0. What is p?
0, 1
Let n(a) be the second derivative of -3*a**7/7 + 13*a**6/5 - 29*a**5/5 + 6*a**4 - 8*a**3/3 - 6*a. Determine o, given that n(o) = 0.
0, 2/3, 1, 2
Let s(g) be the third derivative of 7/12*g**4 + 3/5*g**5 - 2*g**3 + 0 + 0*g - 5*g**2 + 1/12*g**6. Determine f so that s(f) = 0.
-3, -1, 2/5
Let y = 97175/21 - 4622. Let m = y - 26/7. Factor -1/3 - m*s - 4/3*s**2.
-(s + 1)*(4*s + 1)/3
Let q(x) be the second derivative of -x**9/336 - x**8/560 + x**7/168 - x**6/360 + x**3/3 + 4*x. Let w(h) be the second derivative of q(h). Factor w(g).
-g**2*(g + 1)*(3*g - 1)**2
Let c = 20 - -20. Let q = c - 37. Suppose 3*l**3 - q*l - 3/4*l**4 - 9/4*l**2 + 3 = 0. What is l?
-1, 1, 2
Let d(h) be the third derivative of -h**6/1440 - h**5/480 + h**4/48 - 2*h**3/3 - 4*h**2. Let m(y) be the first derivative of d(y). Factor m(s).
-(s - 1)*(s + 2)/4
Let a(x) be the first derivative of -13*x**4/16 + 5*x**3/4 - x**2/4 - 29. Factor a(s).
-s*(s - 1)*(13*s - 2)/4
Let f(r) be the second derivative of r**6/420 - r**5/84 + r**4/84 - 7*r**2/2 - r. Let b(q) be the first derivative of f(q). Factor b(g).
g*(g - 2)*(2*g - 1)/7
Let t be (6/(-4))/(((-2793)/(-140))/(-19)). Factor -2/7*j**3 + 4/7 + 8/7*j**2 - t*j.
-2*(j - 2)*(j - 1)**2/7
Let a(l) = 1. Let y(d) = -d**2 - 2*d - 8. Let w(s) = 35*a(s) + 5*y(s). Let w(n) = 0. Calculate n.
-1
Solve -4/3*j**3 + 4/3 - 4*j - 5*j**2 = 0.
-2, 1/4
Let l(g) be the second derivative of -1/12*g**4 - g + 0 + 0*g**3 + 1/60*g**6 + 0*g**5 - g**2. Let v(q) be the first derivative of l(q). Factor v(h).
2*h*(h - 1)*(h + 1)
Let d(u) be the first derivative of -u**4/14 - 2*u**3/21 + u**2/7 + 2*u/7 - 5. Determine o, given that d(o) = 0.
-1, 1
Let w(t) = -2*t**2 + 2*t + 0 + 6 + 4*t**2. Let y(h) = h - 2*h + 2 - 3. Let z(k) = w(k) + 6*y(k). Factor z(a).
2*a*(a - 2)
Let u(k) = -3*k - 4. Let t be u(-3). Factor 2*f**3 + 4*f**5 - 3 - 6*f**t + 3.
-2*f**3*(f - 1)*(f + 1)
Let p be 1030/(-4200) + 2/8. Let n(h) be the third derivative of -1/12*h**4 + 0*h**5 + p*h**7 + 1/60*h**6 - 2*h**2 + 0 + 0*h - 1/6*h**3. Factor n(j).
(j - 1)*(j + 1)**3
Factor 1/2*v**2 + 1/4*v**3 - 1/2 - 1/4*v.
(v - 1)*(v + 1)*(v + 2)/4
Let -2*q - 3*q**4 + 0 - 13/2*q**3 - 6*q**2 - 1/2*q**5 = 0. Calculate q.
-2, -1, 0
Let j(g) = -30*g**5 - 53*g**4 - 23*g**3. Let p(f) = 20*f**5 + 35*f**4 + 15*f**3. Let r(h) = 5*j(h) + 8*p(h). Factor r(x).
5*x**3*(x + 1)*(2*x + 1)
Let a(w) = w**2. Let u(s) = 18*s**2 + 30*s + 75. Let p(q) = -15*a(q) + u(q). Factor p(n).
3*(n + 5)**2
Let v be (-46)/(-8) + 14/(-28). Find q such that 9/4*q**4 + 0 + v*q**3 + q + 4*q**2 = 0.
-1, -2/3, 0
Determine t, given that 0*t - 2/7*t**3 + 0 - 4/7*t**2 = 0.
-2, 0
Suppose 6*h = 5*h. Determine k so that -1/5 + h*k + 1/5*k**2 = 0.
-1, 1
Let t be (-30)/75 - 64/(-110). Solve 0*g + 2/11*g**3 - t*g**4 + 2/11*g**2 - 2/11*g**5 + 0 = 0 for g.
-1, 0, 1
Let y(f) be the second derivative of 0*f**2 + 0*f**3 + 1/90*f**5 - 8/135*f**6 + 5/189*f**7 + 3*f + 1/27*f**4 + 0. Determine x, given that y(x) = 0.
-2/5, 0, 1
Let f = -587/3 - -196. Factor 2/3 + f*d - 1/3*d**2.
-(d - 2)*(d + 1)/3
Let j = -10 - -17. Suppose 3*w = -1 + j. Factor -2*h + 3*h**3 - w*h**5 + h**3 + 0*h**3.
-2*h*(h - 1)**2*(h + 1)**2
Let p = 2 + -2. Let c(a) be the second derivative of 0*a**2 + a + p - 1/6*a**3 + 1/8*a**4. Find k such that c(k) = 0.
0, 2/3
Let f be 4/(80/76) + (-8)/10. Factor 3/2*g**2 - 2 + 2*g**f - 2*g + 1/2*g**4.
(g - 1)*(g + 1)*(g + 2)**2/2
Suppose -3*l + 28 = l + 4*r, 32 = 5*l + 4*r. What is n in 3*n**2 - 5*n**2 + 2*n + l*n**2 = 0?
-1, 0
Let y(u) = u**3 - 10*u**2 + 2*u + 7. Let p be y(10). Factor -4*c - 2*c - p*c**3 + 21*c**2 - 2*c**4 + 17*c**4 - 3*c**5.
-3*c*(c - 2)*(c - 1)**3
Let i = -1690/9 - -188. Find w such that -i*w - 4/9 + 2/9*w**2 = 0.
-1, 2
Solve 16*p**4 + 4*p**2 - 2*p**2 - 10*p**3 - 4*p**5 + 6*p**2 - 10*p**3 = 0.
0, 1, 2
Suppose 8 = 2*t - 4. Factor t*a**2 + 4*a**2 + 3*a**2 - 10*a**2 - 3*a.
3*a*(a - 1)
Let z(m) = -2*m**2 + 3*m + 5. Let a(p) = 5*p**2 - 6*p - 11. Let i(n) = 3*n + 15. Let j be i(-6). Let x(k) = j*a(k) - 7*z(k). Factor x(l).
-(l + 1)*(l + 2)
Let 18/7 + 16/7*o - 2/7*o**2 = 0. What is o?
-1, 9
Let -3*s**2 - 4*s - 2*s - 2*s - s**2 = 0. Calculate s.
-2, 0
Let o be (-6)/(-40)*(-3)/((-12)/32). Let h(f) be the first derivative of 0*f + 3/2*f**2 + 15/4*f**4 + 4*f**3 + 