 = -10*m(j) + 4*q(j). Factor v(u).
2*(u + 40)*(8*u - 3)
Let d(c) be the first derivative of 1/14*c**6 + 30/7*c**2 + 48/7*c - 8/7*c**3 - 68 - 33/28*c**4 + 6/35*c**5. Let d(x) = 0. What is x?
-4, -1, 2
Solve 140*k - 24*k - 5308843 - 14*k**2 + 5308717 = 0.
9/7, 7
Let c(o) be the third derivative of o**7/1512 - 31*o**4/24 - 134*o**2. Let b(a) be the second derivative of c(a). Factor b(r).
5*r**2/3
Suppose 5 = 4*n - 19. Let h be n - (0 + 1) - 13/13. Factor -3*s + 9*s**4 + s**2 + s + 0*s + h*s**2 + 16*s**3.
s*(s + 1)**2*(9*s - 2)
Let t(v) be the first derivative of v**3/7 - 75*v**2/14 + 342*v/7 - 346. Solve t(o) = 0.
6, 19
Find s such that 232/7*s + 102/7 + 156/7*s**2 - 2/7*s**4 + 24/7*s**3 = 0.
-3, -1, 17
Let n be ((-1478)/(-567))/(1020/(-180)). Let z = 2/189 - n. Factor -6/17 - 2/17*k**2 - z*k.
-2*(k + 1)*(k + 3)/17
Suppose 30 = -2*c + 7*c. Let n be 1062/5 + c/10. Factor 15*l + 23 + 218*l**2 - 41 - n*l**2 - 32.
5*(l - 2)*(l + 5)
Let i(q) be the first derivative of 3*q**5/25 - 51*q**4/10 + 149*q**3/5 - 174*q**2/5 + 1642. Factor i(b).
3*b*(b - 29)*(b - 4)*(b - 1)/5
Let v(s) be the third derivative of -107/12*s**5 - 15/2*s**3 - 11/4*s**6 + 2/7*s**7 - 55*s**2 - 45/4*s**4 + 0*s + 0 + 5/42*s**8. Factor v(f).
5*(f - 3)*(f + 3)*(2*f + 1)**3
Let f(t) be the first derivative of 6/5*t**5 + 108 + 9/2*t**2 + 2*t + 1/6*t**6 + 16/3*t**3 + 7/2*t**4. Find i such that f(i) = 0.
-2, -1
Let l be -4 - (1 - (0 - -40)) - 3. Let y = -3 + 6. Factor -7 - l*k**2 - 4*k - 14*k**3 + 3*k**y + 15 - 9*k**3.
-4*(k + 1)**2*(5*k - 2)
Let b(y) = y**3 - 112*y**2 - 218*y - 99. Let t(v) = -v**3 + 337*v**2 + 653*v + 299. Let f(m) = -8*b(m) - 3*t(m). Suppose f(a) = 0. What is a?
-21, -1
Let a(y) = -y**3 - 883*y**2. Let i(t) = -4*t**3 - 3518*t**2. Let x(m) = 30*a(m) - 8*i(m). Factor x(p).
2*p**2*(p + 827)
Let w(f) be the first derivative of -f**5/5 + 269*f**4/4 - 267*f**3 + 799*f**2/2 - 266*f - 918. Determine x, given that w(x) = 0.
1, 266
Let c be (21 + 140/(-6))*8/(-35). Let j(r) be the first derivative of c*r**2 + 2/45*r**3 - 8 + 32/15*r. Solve j(o) = 0 for o.
-4
Solve 1739*f**2 - 8*f**3 + 88*f + 215*f - 102 - 1934*f**2 + 2*f**3 = 0.
-34, 1/2, 1
Let r(p) be the second derivative of -1/4*p**5 - 1210/3*p**3 + 0*p**2 + 2 - 55/3*p**4 + 50*p. Factor r(i).
-5*i*(i + 22)**2
Let g(t) be the first derivative of -3*t**4/16 + 21*t**3/2 - 351*t**2/8 - 3782. Factor g(x).
-3*x*(x - 39)*(x - 3)/4
Let b(n) = 8*n**2 - 261*n + 132. Let u(h) = -4*h**2 + 130*h - 66. Let w = 166 - 159. Let v(a) = w*u(a) + 4*b(a). Factor v(q).
2*(q - 33)*(2*q - 1)
Let y(i) be the second derivative of -7*i**4/12 - 5*i**3/6 - i**2/2 - i - 3. Let k(x) = 12*x**2 + 9*x + 2. Let z(c) = 6*k(c) + 10*y(c). Factor z(d).
2*(d + 1)**2
Let w(n) be the first derivative of 1058*n - 53 + 46*n**2 + 2/3*n**3. Factor w(t).
2*(t + 23)**2
Let f(x) be the first derivative of -8*x**4/11 + 17680*x**3/11 - 13257*x**2/11 + 3314*x/11 - 6195. Factor f(w).
-2*(w - 1657)*(4*w - 1)**2/11
Let t(h) be the second derivative of h**6/45 - h**5/6 - 7*h**4/18 + 5*h**3/9 + 2*h**2 + 1353*h. Determine v so that t(v) = 0.
-1, 1, 6
Let b = -54/2363 + 1621288/11815. Suppose -2/5*a**3 + b - 294/5*a + 42/5*a**2 = 0. Calculate a.
7
Factor -31 - 65*v**2 + 98*v**2 - 205*v**2 - 85*v**2 + 178*v + 7*v**3 + 103.
(v - 36)*(v - 1)*(7*v + 2)
Let -146/9*y**2 + 118/9*y + 14/9*y**4 - 118/9*y**3 + 44/3 = 0. What is y?
-1, 1, 66/7
Let x be (-7560)/405 + (-2 - -3)*19. Suppose 50/3 - x*t**2 - 49/3*t = 0. Calculate t.
-50, 1
Let x(n) be the first derivative of 0*n - 41 - 3/16*n**4 - 1/20*n**5 - 1/4*n**3 - 1/8*n**2. Factor x(r).
-r*(r + 1)**3/4
Let t be (-5070)/(-450) + -14 + 3. Let d(v) be the second derivative of -t*v**2 - 1/150*v**5 - 6*v + 1/30*v**4 + 0*v**3 + 0. Factor d(n).
-2*(n - 2)**2*(n + 1)/15
Let o(d) = 5*d**3 - 22*d**2 + 35*d - 15. Let m = -526 - -519. Let q(l) = -10*l**3 + 43*l**2 - 70*l + 30. Let u(n) = m*o(n) - 3*q(n). Factor u(w).
-5*(w - 3)*(w - 1)**2
Suppose 119*m - 23*m - 537 = -83*m. Suppose -4/3*t + 0 - 2/3*t**2 + 2/3*t**m = 0. Calculate t.
-1, 0, 2
Let u(v) be the third derivative of -8*v**3 - 5/3*v**4 + 0 + 0*v + 1/105*v**7 - 43*v**2 + 1/15*v**5 + 1/12*v**6. What is f in u(f) = 0?
-3, -2, 2
Let v(d) = 6*d**4 - 24*d**3 - 50*d**2 + 16*d + 48. Let i(p) = 17*p**4 - 71*p**3 - 150*p**2 + 49*p + 144. Let a(j) = -4*i(j) + 11*v(j). Solve a(q) = 0.
-2, -1, 1, 12
Find x such that -3912/5*x + 956484/5 + 4/5*x**2 = 0.
489
Let s(l) be the third derivative of l**10/75600 + l**9/5040 - l**8/672 + l**7/315 - l**5/3 - 22*l**2 - 1. Let q(g) be the third derivative of s(g). Factor q(w).
2*w*(w - 1)**2*(w + 8)
Let p(h) be the first derivative of -3*h**5/2 - 13*h**4/4 + 77*h**3/6 + 16*h**2 + 6*h + 5539. Determine a, given that p(a) = 0.
-3, -2/5, -1/3, 2
Let j(p) be the second derivative of p**5/20 - 2*p**4/3 + 13*p**3/3 - 53*p**2/2 + 11*p + 2. Let m be j(5). Factor m*k**2 + 19/2*k - 5/2.
(k + 5)*(4*k - 1)/2
Let j(f) be the second derivative of -f**4/16 - f**3/8 + 21*f**2 - 830*f. Factor j(o).
-3*(o - 7)*(o + 8)/4
Suppose -y + 2*y - 1 = 0. Let q be 5 + y + -3 - -2*2. Factor -96*c**2 + q*c + 100*c**2 + 4 + c.
4*(c + 1)**2
Let p(u) be the third derivative of 11*u**6/80 - u**5/8 - 7*u**4/4 - 3*u**3 + 45*u**2 + 4*u. Factor p(a).
3*(a - 2)*(a + 1)*(11*a + 6)/2
Let x(l) = -23*l**2 - 1542*l + 5373. Let h(s) = 7*s**2 + 463*s - 1612. Let z(a) = -27*h(a) - 8*x(a). Find r such that z(r) = 0.
-36, 3
Let x(q) be the second derivative of -q**5/5 + 293*q**4/15 + 236*q**3/15 + 2300*q. Determine i so that x(i) = 0.
-2/5, 0, 59
Let p(k) be the second derivative of -k**7/840 - 3*k**6/16 - k**4/3 - 5*k**3/3 - 11*k + 2. Let f(d) be the third derivative of p(d). Solve f(i) = 0 for i.
-45, 0
Let j(c) = -5*c**3 + 15*c**2 - 9*c + 29. Let y be j(3). Factor 2/3*t**5 + 0 - 8*t**y - 4*t**4 + 8/3*t + 26/3*t**3.
2*t*(t - 2)**2*(t - 1)**2/3
Let d(l) = 8*l + 18. Let i = -254 + 252. Let s be d(i). Factor 0 - 4/3*y**s + 8/3*y.
-4*y*(y - 2)/3
Factor 300*b**2 + 410*b**2 + 2744*b + 4*b**3 - 84*b**2 + 1216.
2*(b + 4)*(b + 152)*(2*b + 1)
Let d(p) be the first derivative of p**5/60 - 59*p**4/12 + 3481*p**3/6 + p**2/2 + 46*p + 3. Let f(h) be the second derivative of d(h). Factor f(a).
(a - 59)**2
Let k be (1 - (-24)/(-3)) + 4*(-329)/(-140). Let y(b) be the first derivative of 2 + 2/15*b**3 - 1/5*b**2 - k*b. Factor y(a).
2*(a - 3)*(a + 2)/5
Let q(s) be the second derivative of 1/4*s**5 + 57*s + 0*s**2 + 20/3*s**4 - 2 - 85/6*s**3. Factor q(v).
5*v*(v - 1)*(v + 17)
Let r(i) be the second derivative of -1/12*i**4 + 0*i**2 + 0 + 0*i**3 - 177*i + 1/40*i**5. Factor r(k).
k**2*(k - 2)/2
Let a be ((-4)/(-95))/(-1)*8190/(-2574). Let c = 6/19 - a. Factor 3/11*s - c - 1/11*s**2.
-(s - 2)*(s - 1)/11
What is t in 9198315*t**2 + 136 + 21*t + 21*t - 9198313*t**2 = 0?
-17, -4
Let b(g) be the third derivative of -1/30*g**6 + 0*g + 1/105*g**7 + 0*g**4 + 55*g**2 + 0*g**3 + 2 + 1/30*g**5. Factor b(d).
2*d**2*(d - 1)**2
Let i(w) be the first derivative of -2/25*w**5 + 14/5*w**2 + 2*w + 8/5*w**3 - 10 + 1/5*w**4. Factor i(j).
-2*(j - 5)*(j + 1)**3/5
Let g(i) be the first derivative of 0*i**2 - 1/34*i**4 + 0*i - 49 + 16/51*i**3. Factor g(r).
-2*r**2*(r - 8)/17
Let r be (-13)/208*0 - (3 - 3). Let a(x) be the third derivative of 0*x**4 - 2/45*x**5 + r + 0*x - 24*x**2 + 0*x**3 - 1/90*x**6. Factor a(m).
-4*m**2*(m + 2)/3
Suppose -3*a - 2*x + 11 = 0, -3*a - 2*x + 3*x = -26. Let v be 180/(-25) + (a - -1). What is h in 56/5*h**2 + 2/5*h - v = 0?
-2/7, 1/4
Let y be (-12 + 13)*37 + (3 - 1). Let w be 37/35 + y/(-195). Determine z so that -w*z**2 + 6/7*z**3 + 2/7*z**4 - 22/7*z - 12/7 = 0.
-3, -1, 2
Let g(p) be the third derivative of p**8/168 + 128*p**7/735 + 59*p**6/35 + 544*p**5/105 + 64*p**4/21 - 5*p**2 + 43*p. Find v such that g(v) = 0.
-8, -2, -2/7, 0
Let j = 7313/1770 - 283/118. Suppose -8/15*p**5 + 4/15 + 22/15*p**4 - j*p**2 + 2/3*p - 2/15*p**3 = 0. What is p?
-1, -1/4, 1, 2
Suppose 5*u = 4*l - 9*l, -15 = -2*u + 3*l. Suppose -2 = -u*f + 5*t, -5*f - t + 16 = -3*t. Factor 14 + 8*m**2 - 3 + f*m - 11 + 4*m**3.
4*m*(m + 1)**2
Suppose -4*n = -s - 14, s - 4*n + 6 = -4*s. Suppose 156*k**4 - 4*k**s + 14*k**5 + 2 - 16*k**5 + 216*k**3 - 2 - 72*k + 10*k**5 = 0. What is k?
-18, -1, 0, 1/2
Suppose 4*r = 4*v - 6*v - 8, 5*v + 5*r = 0. Let b(h) be the third derivative