, 1
Let u(p) be the second derivative of -p**6/10 - 3*p**5/2 - 25*p**4/4 + 115*p. Let u(r) = 0. Calculate r.
-5, 0
Let q(c) be the third derivative of c**8/3360 - 2*c**3/3 + 12*c**2. Let w(o) be the first derivative of q(o). Factor w(m).
m**4/2
Let m(q) be the second derivative of 9*q - 9*q**2 + 1/10*q**5 + q**3 + 5/6*q**4 + 0. Let m(l) = 0. What is l?
-3, 1
Let m(r) be the first derivative of r**8/8400 + r**7/1400 + r**6/600 + r**5/600 + 3*r**3 - 9. Let j(f) be the third derivative of m(f). Factor j(u).
u*(u + 1)**3/5
Suppose 0 = 5*i - 68 - 12. Suppose -m = u + 3*m - i, 4*m = -3*u + 16. Let 0 + u*q + 1/4*q**4 + 0*q**2 + 0*q**3 = 0. What is q?
0
Let z(w) = 13*w**2 + 178*w + 147. Let m(l) = -3*l**2 - 44*l - 37. Let k(h) = 18*m(h) + 4*z(h). Factor k(b).
-2*(b + 1)*(b + 39)
Let g be ((-4)/(-10))/1*(-330)/(-528). Solve -1/4*q**2 + 0 + g*q = 0.
0, 1
Suppose -4*z + 3*m + 59 = 0, -3*z - m + 3 + 51 = 0. Suppose -17*r - 10*r**2 + 10*r**2 + r**4 - 29*r**3 + z*r**2 + 6 + 22*r**3 = 0. Calculate r.
1, 2, 3
Let b(s) be the second derivative of 1/483*s**7 - 13*s + 0 - 7/230*s**5 + 2/23*s**3 + 0*s**2 + 1/138*s**4 - 1/345*s**6. Let b(y) = 0. Calculate y.
-2, -1, 0, 1, 3
Suppose -13 = 8*l - 45. Factor -20*x**3 - 12*x**4 - 6*x**5 - 8*x**l + x**5.
-5*x**3*(x + 2)**2
Let a be -5*(-2)/10 + 10/5. Let u(f) be the second derivative of -1/30*f**4 + 2/5*f**2 - 1/15*f**a + 0 - f. Determine o so that u(o) = 0.
-2, 1
Let v(b) be the second derivative of b**7/14 + b**6/5 - 27*b**5/10 + 8*b**4 - 23*b**3/2 + 9*b**2 + 344*b. Suppose v(j) = 0. Calculate j.
-6, 1
Let z(y) be the first derivative of -2*y**3 + 0*y**4 + 3/5*y**5 + 5 + 3*y + 0*y**2. Let z(l) = 0. Calculate l.
-1, 1
Let s(v) be the third derivative of -v**9/423360 + v**8/47040 - v**7/17640 + 7*v**5/12 - 4*v**2. Let o(f) be the third derivative of s(f). Factor o(w).
-w*(w - 2)*(w - 1)/7
Let n(o) be the first derivative of -15*o**4/4 + 98*o**3 - 1005*o**2/2 - 450*o - 594. Find y, given that n(y) = 0.
-2/5, 5, 15
Let v = 29 - 22. Let b be (-1)/(-4)*6*(9 - v). Determine g so that -1/5*g**b + 1/5*g**2 + 1/5*g - 1/5 = 0.
-1, 1
Let x = 20 - 42. Let j = -18 - x. Solve d**j + 2*d**2 + 2*d**2 + 11*d**4 + 16*d**3 = 0.
-1, -1/3, 0
Let l be (5/(-25) - (-4)/(-5))/(-1). Let o be 1*(-1)/1*0/l. Factor 0*y + 0*y**3 - 1/2*y**4 + o + 1/2*y**2.
-y**2*(y - 1)*(y + 1)/2
Find g, given that 0 + 2/9*g**2 + 40/9*g = 0.
-20, 0
Let w be (-1722)/1071 - 8/(-3). Solve 54/17*a + 0 + w*a**3 - 2/17*a**4 - 54/17*a**2 = 0 for a.
0, 3
Let d(p) be the second derivative of -3*p**5/70 + 5*p**4/42 + 107*p**3/21 + 5*p**2 + 36*p + 1. Find x such that d(x) = 0.
-5, -1/3, 7
Let g(c) = -4 + 2 + c**3 + 2 + c**2 + c. Let t(r) = -r**4 + 5*r**3 + 10*r**2 + 7*r. Let z(s) = -35*g(s) + 5*t(s). Find j such that z(j) = 0.
-3, 0, 1
Let q be 4/2 - 15/(-5). Let j = -3 - -5. Factor -h**3 - 5*h + 3*h**j - 2*h + q*h.
-h*(h - 2)*(h - 1)
Let o = 9 - -15. Suppose -6*i + o = -3*i. Factor i*v + 9 - 4*v**4 + 2*v**4 - 9 - 6*v**3.
-2*v*(v - 1)*(v + 2)**2
Factor 9/5*q**2 + 48 - 366/5*q.
3*(q - 40)*(3*q - 2)/5
Let b(u) be the third derivative of -u**6/60 - u**5/2 - u**4 + 28*u**3/3 + 3*u**2 - 49. Solve b(a) = 0 for a.
-14, -2, 1
Solve 2900/7*n**2 - 3082/7*n - 788/7*n**3 + 1058/7 - 2/7*n**5 - 86/7*n**4 = 0 for n.
-23, 1
Suppose 3*c - y - y + 2 = 0, -2*c + 4*y - 4 = 0. Suppose 9 = 3*u - c*u. Factor 9*h**3 - 2 + 10*h**4 - 6*h**u + 9*h**3 - 8*h**2 - 12*h.
2*(h - 1)*(h + 1)**2*(5*h + 1)
Let b(r) = -11*r**2 + 21*r - 14. Suppose -17*d + 22*d = 75. Let t(u) = 45*u**2 - 85*u + 55. Let z(c) = d*b(c) + 4*t(c). Factor z(o).
5*(o - 1)*(3*o - 2)
Let u(j) be the first derivative of 0*j**2 + 9/2*j**3 + 32 - 81/4*j - 3/2*j**4 + 3/20*j**5. Factor u(k).
3*(k - 3)**3*(k + 1)/4
Let r(c) be the first derivative of 2*c**6/3 + 40*c**5 - 210*c**4 + 1280*c**3/3 - 430*c**2 + 216*c + 177. Factor r(f).
4*(f - 1)**4*(f + 54)
Let -33*m - 5*m**2 - 14 + 83*m - 17 - 9 - 5*m**3 = 0. What is m?
-4, 1, 2
Let y(x) = -12*x**4 + 2847*x**3 - 2844*x**2 - 18*x. Let o(h) = 3*h**4 - 712*h**3 + 711*h**2 + 4*h. Let f(z) = -9*o(z) - 2*y(z). Factor f(g).
-3*g**2*(g - 237)*(g - 1)
Let k(v) be the first derivative of v**6/1800 + v**5/150 + v**4/30 - 11*v**3/3 - 8. Let c(j) be the third derivative of k(j). Factor c(a).
(a + 2)**2/5
Let b(t) = t**2 - 13*t - 11. Let d be b(14). Solve 6*h**d - 2*h**4 + 70*h - 70*h - 4*h**2 = 0 for h.
0, 1, 2
Let j(r) be the second derivative of r**6/30 - r**5/5 + r**4/3 + 2*r**2 - 30*r. Let f(k) be the first derivative of j(k). Let f(z) = 0. Calculate z.
0, 1, 2
Suppose 48 = 32*u - 16*u. Let m(c) be the first derivative of -1/27*c**6 - 2/45*c**5 + 2/27*c**u + 0*c + 0*c**2 + 4 + 1/18*c**4. Suppose m(l) = 0. Calculate l.
-1, 0, 1
Let r(d) = 9*d**3 - 96*d**2 - 384*d - 414. Let p(b) = -17*b**3 + 191*b**2 + 770*b + 827. Let n(i) = -6*p(i) - 11*r(i). Factor n(j).
3*(j - 34)*(j + 2)**2
Let f = 8 + -8. Suppose f = -0*d - 5*d + 30. Factor -d*b**3 - 3*b**4 - 2*b + 2*b + 5*b**2 - 8*b**2.
-3*b**2*(b + 1)**2
Let u = 917 - 913. Factor 0*h**3 - 36/7*h**2 + 0*h + 2/7*h**u + 162/7.
2*(h - 3)**2*(h + 3)**2/7
Let k(r) be the first derivative of -r**5/20 + 5*r**4/48 - r**3/24 + 45*r + 55. Let g(o) be the first derivative of k(o). Determine w so that g(w) = 0.
0, 1/4, 1
Let o(p) be the second derivative of p**4/84 - 3*p**3/14 + 4*p**2/7 - 18*p. Let o(w) = 0. Calculate w.
1, 8
Find x such that 0 + 2/21*x + 2/21*x**3 + 4/21*x**2 = 0.
-1, 0
Let y(w) be the second derivative of w**6/15 + 2*w**5/5 - 13*w**4/6 - 4*w**3/3 + 12*w**2 + 583*w. Solve y(l) = 0.
-6, -1, 1, 2
Let a be 8/(-7)*84/(-48). Factor -162/5*l - 12/5*l**4 + 0 + 0*l**3 + 108/5*l**a + 2/5*l**5.
2*l*(l - 3)**3*(l + 3)/5
Suppose 35 = 4*d + 3*y, -4*d - 45 = -8*d - 5*y. Solve 66*s**5 - 32*s**d - 3*s**2 + 3*s**4 - 37*s**5 + 3*s**3 = 0.
-1, 0, 1
Let a(j) be the third derivative of j**9/60480 + j**8/3360 + j**7/560 + j**6/180 - j**5/3 - 7*j**2. Let s(c) be the third derivative of a(c). Factor s(o).
(o + 1)**2*(o + 4)
Let q(n) be the first derivative of -n**7/28 + n**6/10 - 3*n**5/40 + 10*n - 5. Let d(o) be the first derivative of q(o). Factor d(x).
-3*x**3*(x - 1)**2/2
Suppose 35 = 10*q + 15. Suppose -8 = 4*a - q*n, 14 = -3*a + 5*n - 6. Let -1/6*j**3 + a*j**2 + 0 + 0*j - 1/3*j**4 - 1/6*j**5 = 0. What is j?
-1, 0
Factor 0 + 3*a**2 - 3/5*a**4 - 6/5*a + 3/5*a**5 - 9/5*a**3.
3*a*(a - 1)**3*(a + 2)/5
Solve -i**2 - 13115 - 30*i + 3511 - 166*i = 0 for i.
-98
Let t(y) be the third derivative of -y**9/30240 - y**8/2016 + y**7/420 + y**5/6 - 27*y**2. Let s(l) be the third derivative of t(l). Factor s(m).
-2*m*(m - 1)*(m + 6)
Suppose -71*y + 57*y = -14. Let o(b) be the first derivative of -2/7*b - y - 2/7*b**2 - 2/21*b**3. Factor o(x).
-2*(x + 1)**2/7
Let f(a) be the second derivative of 3*a**4/28 + 16*a**3/7 - 33*a**2/14 + 3*a + 3. Suppose f(g) = 0. What is g?
-11, 1/3
Factor 12/11 + 78/11*s + 6*s**2.
6*(s + 1)*(11*s + 2)/11
Let f be 8 + (12/4 - 3). Let a be (6/f)/(3/8). Factor 4*q**2 + q**2 + 4*q - 6*q**a - 2*q.
-q*(q - 2)
Suppose -7*o - 8 = -3*o. Let q = 0 - o. Let -3*v**4 - v**4 + 2*v - 2*v**5 - 2*v + 4*v**q + 2*v = 0. What is v?
-1, 0, 1
Let g(b) be the third derivative of -b**8/4032 + b**7/1512 + 5*b**4/24 - 11*b**2. Let o(y) be the second derivative of g(y). Let o(p) = 0. What is p?
0, 1
Determine v, given that 232/5 - 108/5*v - 4/5*v**2 = 0.
-29, 2
Let v = -20654 - -20656. Factor 0 - 5/2*k - 5/4*k**v.
-5*k*(k + 2)/4
Let m(z) be the third derivative of 0*z**3 + 0 + 1/45*z**5 + 0*z + 58*z**2 + 0*z**4 + 1/360*z**6. Factor m(k).
k**2*(k + 4)/3
Let t be 9/12 - 1*13/52. Factor t*v**2 + 0 + 1/2*v.
v*(v + 1)/2
Let c(o) be the first derivative of 2*o**3/3 + 4*o**2 - 42*o + 128. Factor c(w).
2*(w - 3)*(w + 7)
Suppose w = 4*a - 52, 0 = -4*a + 5*w + 51 + 17. Find p such that -18*p + a*p**2 - 5*p**3 - 5*p**3 + 17*p**3 - 9*p**3 = 0.
0, 3
Let v(f) be the first derivative of -4/3*f**3 - f**6 - 1 - 4*f**5 + 0*f**2 + 0*f - 9/2*f**4. What is l in v(l) = 0?
-2, -1, -1/3, 0
Let f(z) = -z**2 - 4*z + 7. Let o be f(-5). Suppose 36*b = 66 + 78. Factor 6/7*a**o - 2/3*a + 4/21 + 2/21*a**b - 10/21*a**3.
2*(a - 2)*(a - 1)**3/21
Let t(r) = -r**2 + 36*r - 31. Let p(z) = 9*z**2 - 360*z + 309. Let c(k) = 2*p(k) + 21*t(k). Factor c(a).
-3*(a - 11)*(a - 1)
Let m(o) = 9*o - 3. Let n be m(2). Suppose -4*g - 4*t 