0.
-2, -2/3, 0
Let h(p) be the second derivative of 0 + 7/5*p**5 - 18*p - 19/8*p**4 + 19/12*p**3 - 1/2*p**2 - 4/15*p**6. Let h(j) = 0. What is j?
1/4, 1, 2
Let p(b) be the third derivative of -1/6*b**3 + 0*b + 0 - 4*b**2 - 1/60*b**5 + 1/12*b**4. Factor p(w).
-(w - 1)**2
Suppose 5*y - 5 = -0*y, 3*i - y - 2 = 0. Factor -i + 1/2*g**2 - 1/2*g.
(g - 2)*(g + 1)/2
Let q = 29/42 - 5/14. Let l(n) be the first derivative of 1/2*n**2 + 4 + 1/3*n + q*n**3 + 1/12*n**4. Find p such that l(p) = 0.
-1
Let b = 220 + -216. Factor 2*d**2 + 2/3*d**b + 2*d**3 + 2/3*d + 0.
2*d*(d + 1)**3/3
Let k be 14 + (8 - 11) + -6. Let w(d) be the third derivative of 3*d**2 + 0 - 1/8*d**4 + 0*d**3 + 0*d - 1/20*d**k. Find h, given that w(h) = 0.
-1, 0
Solve 3/4*z + 1/4*z**2 + 1/2 = 0 for z.
-2, -1
Suppose -18*c - 42 = -20*c. Suppose -3*y + 5*w + c = 0, -4*w = -3*y - 6*w. Solve 0 - 1/4*j + 1/4*j**y = 0.
0, 1
Let s(h) be the first derivative of h**4/12 + 11*h**3/3 + 85*h**2/2 - 289*h/3 + 240. What is a in s(a) = 0?
-17, 1
Let d(p) be the first derivative of 20 + p**3 + 3/4*p**4 + 0*p + 0*p**2. Factor d(b).
3*b**2*(b + 1)
Suppose 2*n = 2*z - 6, 2*z - 8 = -z + 4*n. Suppose -23 = -z*x - 5*u, 2 = 5*x - 3*u + 1. Suppose -3*y**2 - 1/2*y**4 - x*y - 1/2 - 2*y**3 = 0. Calculate y.
-1
Let r(v) be the third derivative of v**7/35 - 47*v**6/180 + 41*v**5/45 - 13*v**4/9 + 8*v**3/9 - 97*v**2. Suppose r(c) = 0. Calculate c.
2/9, 1, 2
Suppose -9*f + 49 + 32 = 0. Factor -2*a**2 + 0 + 4*a + 9 - f.
-2*a*(a - 2)
Let l(c) = c**2 - 2*c - 6. Let d be l(3). Let n(f) = f**2 + 1. Let t(m) = m**2 + 4*m - 11. Let x(b) = d*n(b) - t(b). Determine s so that x(s) = 0.
-2, 1
Let z(h) be the second derivative of -h**6/360 + h**5/15 - 2*h**4/3 + 2*h**3 + 6*h. Let r(d) be the second derivative of z(d). Factor r(w).
-(w - 4)**2
Let x(h) = h + 23. Let i be x(-21). Let g be 36/16 + -2 + 93/12. Solve 4*p**3 - g - 12*p**i + 16*p - 1/2*p**4 = 0 for p.
2
Let r = 347 - 5201/15. Let y(h) be the second derivative of 0 + 5*h + 2/5*h**2 - r*h**3 + 1/15*h**4. Factor y(a).
4*(a - 1)**2/5
Let q(g) be the first derivative of g**4 - 13*g**3 - 33 + 6*g**2 + 6*g + 17*g**3 - 2*g. Find p such that q(p) = 0.
-1
Let u(j) be the first derivative of 10*j**2 + 11 + 4/3*j**3 + 24*j. Determine a, given that u(a) = 0.
-3, -2
Let f = 112 + -223/2. Let p(o) be the second derivative of 0 + 0*o**2 + 0*o**3 + 8*o - f*o**4 + 3/20*o**5. Determine u so that p(u) = 0.
0, 2
Solve -39/2*r + 18 + 3/2*r**2 = 0.
1, 12
Let c = 12846 + -25691/2. Factor 0*q**2 - 1/2*q - 1/4 + c*q**3 + 1/4*q**4.
(q - 1)*(q + 1)**3/4
Let u(k) be the second derivative of k**7/840 - k**5/40 - k**4/12 - 2*k**3/3 + 8*k. Let d(y) be the second derivative of u(y). Factor d(g).
(g - 2)*(g + 1)**2
Let h(y) = 7*y**2 - 8*y + 30. Let j(t) = -8*t**2 + 7*t - 31. Let w(u) = 7*h(u) + 6*j(u). Determine c, given that w(c) = 0.
2, 12
Let t(a) be the first derivative of 10/9*a**4 - 11/9*a**2 + 8/15*a**5 - 20/27*a**3 - 1/3*a**6 - 4/9*a - 7. Suppose t(u) = 0. What is u?
-1, -1/3, 1, 2
Let q(g) be the third derivative of -g**5/20 + 5*g**4/24 + 4*g**3/3 + 14*g**2. Let i(s) = -3*s**2 + 6*s + 9. Let d(a) = 2*i(a) - 3*q(a). Factor d(c).
3*(c - 2)*(c + 1)
Let i(r) be the third derivative of -r**7/840 - r**6/160 + r**5/240 + r**4/32 + 7*r**2 - 7. Factor i(p).
-p*(p - 1)*(p + 1)*(p + 3)/4
Factor 0*o**2 + 1/4*o - 1/4*o**3 + 0.
-o*(o - 1)*(o + 1)/4
Suppose -21 + 18 = -j. Suppose j*q - 2*q = 0. Factor -25 + q*g + g**4 - 3*g**2 - 2*g + 25.
g*(g - 2)*(g + 1)**2
Let j(p) = -5*p**2 + 23*p - 3. Let q(f) = -56*f**2 + 256*f - 34. Let a(w) = 68*j(w) - 6*q(w). Factor a(t).
-4*t*(t - 7)
Let o(t) = 4*t**4 - 4*t**3 + 24*t**2 + 8*t - 32. Let h(j) = -j**4 + j**3. Let b(c) = 6*h(c) + o(c). Factor b(a).
-2*(a - 4)*(a - 1)*(a + 2)**2
Factor -12/7*z - 12/7*z**2 + 3/7*z**3 + 48/7.
3*(z - 4)*(z - 2)*(z + 2)/7
Let h(k) = -2*k**5 - 10*k**4 - 4*k**3 + 16*k**2 - 4. Let s(c) = 2*c**5 + 10*c**4 + 3*c**3 - 15*c**2 + 6. Let y(r) = 3*h(r) + 2*s(r). Solve y(z) = 0 for z.
-3, 0, 1
Let m(k) be the first derivative of 10/7*k**2 + 23 - 16/21*k**3 - 8/7*k + 1/7*k**4. Factor m(q).
4*(q - 2)*(q - 1)**2/7
Let m(o) be the first derivative of -o**7/105 - o**6/20 - o**5/15 + 7*o**2/2 + 1. Let q(h) be the second derivative of m(h). Factor q(z).
-2*z**2*(z + 1)*(z + 2)
Let z = 1633/1090 - -1/545. Solve -1/2*w**4 - 1/2*w**2 - 3/2*w + 1 + z*w**3 = 0 for w.
-1, 1, 2
Let z(g) be the third derivative of -1/480*g**5 + 0*g - 1/1680*g**7 + 0 + 0*g**3 + 0*g**4 - 31*g**2 - 1/480*g**6. Solve z(q) = 0.
-1, 0
Let k = 73152/35 - 2090. Let x(f) be the first derivative of -8/21*f**3 - k*f**5 - 2/7*f**4 + 0*f + 0*f**2 + 6. Factor x(q).
-2*q**2*(q + 2)**2/7
Let l(x) = -x - 4. Let h be l(-9). Solve -24 + 12*m**3 + h*m**2 + m**2 - 3*m**4 - 36*m - 3 = 0 for m.
-1, 3
Let 39/4*x + 9 + 3/4*x**2 = 0. Calculate x.
-12, -1
Let a(x) be the first derivative of -x**6/6 + x**5/2 + 3*x**4/8 - 4*x**3/3 - x**2 - 527. Find n, given that a(n) = 0.
-1, -1/2, 0, 2
Suppose -8*j + 27 = -5*j. Let s be (-3 - j/12) + (-16)/(-4). Let -a + s*a**3 + 0 - a**2 + 1/4*a**4 = 0. What is a?
-2, -1, 0, 2
Factor 3/2*u**2 + 0 - 3/2*u**4 + 0*u**3 + 0*u.
-3*u**2*(u - 1)*(u + 1)/2
Let f(i) be the first derivative of 1/28*i**4 + 0*i + 2/21*i**3 + 8 + 0*i**2 - 1/35*i**5. Factor f(r).
-r**2*(r - 2)*(r + 1)/7
Suppose -24 = 4*c - 7*c - 5*n, -2*n = -2*c + 16. Suppose -5*u = -3*k, 3*u = 4*u + k - c. Factor 16/7*f - 16/7 - 12/7*f**u + 20/7*f**2.
-4*(f - 2)*(f + 1)*(3*f - 2)/7
Let y(s) = 10*s - 42. Let u be y(8). Suppose 26 = -6*v + u. Factor 75/2*t - 125/2 - 15/2*t**v + 1/2*t**3.
(t - 5)**3/2
Find v such that 10/7*v**2 - 8/7*v - 1/7*v**4 + 0 - 1/7*v**3 = 0.
-4, 0, 1, 2
Let l(o) be the third derivative of -o**7/840 - 17*o**6/240 + 9*o**5/20 - 55*o**4/48 + 37*o**3/24 - o**2 + 343*o. Factor l(w).
-(w - 1)**3*(w + 37)/4
Let u(f) be the first derivative of -2*f**3/21 + 67*f**2/7 + 136*f/7 - 408. Suppose u(l) = 0. Calculate l.
-1, 68
Let q(w) be the third derivative of -w**5/36 + 85*w**4/72 + 2*w**2 - 33. Factor q(t).
-5*t*(t - 17)/3
Let c(i) = 2*i**3 - 50*i**2 + 45*i - 3. Let m(v) = 5*v**3 - 100*v**2 + 90*v - 5. Let f(t) = 5*c(t) - 3*m(t). Find l, given that f(l) = 0.
0, 1, 9
Factor -16*t - 416*t**3 + 209*t**3 + 188*t**3 - 25*t**2 - 5*t**4 - 2*t**4 - t**5 - 4.
-(t + 1)**3*(t + 2)**2
Let q(k) = 31*k**3 - 142*k**2 + 180*k - 28. Let w(n) = 340*n**3 - 1560*n**2 + 1980*n - 305. Let a(o) = -45*q(o) + 4*w(o). Factor a(y).
-5*(y - 2)**2*(7*y - 2)
Let z = -114 + 118. Solve -137*g**2 + z*g + 0*g + 135*g**2 = 0 for g.
0, 2
Let d = -35406 - -247844/7. Factor 10/7 - 8/7*i - d*i**2.
-2*(i - 1)*(i + 5)/7
Let r(h) be the third derivative of -h**10/37800 + h**8/1680 + h**7/630 + 13*h**5/60 - 4*h**2. Let o(c) be the third derivative of r(c). Factor o(u).
-4*u*(u - 2)*(u + 1)**2
Suppose -4*s + 4 = 0, 4*d - 9*s - 7 = -4*s. Suppose -3*j - 9 + 0 = -3*w, w = d*j + 1. Factor 8/7 + 12/7*p - 48/7*p**2 + w*p**3.
4*(p - 1)**2*(7*p + 2)/7
Let x(d) = -d**3 - 3*d. Let u be x(0). Factor -20 + 2*z + 5*z + 4*z**2 + u*z**2 + 9*z.
4*(z - 1)*(z + 5)
Let y be (-36)/8*(-29)/58. Factor y + 9/2*l**3 + 9*l**2 + 3/4*l**4 + 15/2*l.
3*(l + 1)**3*(l + 3)/4
Let x = -18364/14313 + 38/367. Let d = 24/13 + x. Factor 0*h - 2/3 - d*h**4 + 0*h**3 + 4/3*h**2.
-2*(h - 1)**2*(h + 1)**2/3
Suppose 0 = -v + 2*u + 17, 3*u = -2*v - 2*v + 57. Factor 2*o**3 + 2*o**3 - 18*o**4 + 5*o**3 + v*o**3 + 4*o**5 - 8*o**2.
2*o**2*(o - 2)**2*(2*o - 1)
Let k(b) be the first derivative of -4*b**5/5 - 2*b**4 + 4*b**3 - 48. Factor k(t).
-4*t**2*(t - 1)*(t + 3)
Let w(i) be the first derivative of 1/2*i**4 + 2/3*i**3 + 0*i + 2/15*i**5 - 2 + 1/3*i**2. Factor w(l).
2*l*(l + 1)**3/3
Let p(i) = -2*i**3 + 4*i**2 - 5*i. Let h(v) = -2*v**3 + 4*v**2 - 4*v. Let k be ((-4)/20)/(1/(-65)). Let t = 18 - k. Let a(z) = t*h(z) - 4*p(z). Solve a(n) = 0.
0, 2
Let c(m) = -4*m**3 + 7*m. Let r(a) = 3*a**3 - 7*a + 2. Let q(b) = -4*c(b) - 6*r(b). Determine u so that q(u) = 0.
-3, 1, 2
Let p = -65 - -67. Find x such that 32*x - p*x**5 - 2*x**5 - 28*x**3 + 15*x**4 + 5*x**4 - 10*x**2 + 6*x**2 - 16 = 0.
-1, 1, 2
Suppose 0 = 37*c + 26 - 25 - 75. Let 1/3*j**3 + 1/3 - 1/3*j**c - 1/3*j = 0. What is j?
-1, 1
Let x(j) be the first derivative of -j**6/2 + 66*j**5/5 + 365. What is l in x(l) = 0?
0, 22
Let c = -91 - -115. Suppose 19*a