*(9*i + 2)**2
Let t(o) be the first derivative of o**4/14 + 436*o**3/21 + 10208*o**2/7 - 53824*o - 10517. Factor t(g).
2*(g - 14)*(g + 116)**2/7
Let j(w) be the third derivative of -w**6/720 - 65*w**5/72 - 369*w**4/2 - 729*w**3 - 2*w**2 + 58*w + 2. Solve j(g) = 0.
-162, -1
Let z be (2/4)/((-3)/(-18)). Solve 11*b**4 + 23*b - 53*b**2 + 5*b**3 + 7 + 12*b**z - 1 - 4*b**3 = 0.
-3, -2/11, 1
Let c be (-2)/(-32) + (711/79 - 1490/800). Determine j so that -18/5*j - 2/5*j**2 - c = 0.
-6, -3
Let v(c) = -c**4 + 24*c**3 + c**2 - 22*c + 2. Let r = -468 + 466. Let j(w) = w**4 - w**2 + w + 1. Let m(n) = r*j(n) + v(n). Determine u so that m(u) = 0.
-1, 0, 1, 8
Let a(l) be the third derivative of l**8/1176 + l**7/21 - 13*l**6/35 + 11*l**2 - l - 28. Determine y so that a(y) = 0.
-39, 0, 4
Let g(i) be the first derivative of -i**3/6 + 13*i**2 - 51*i/2 + 1392. Find w such that g(w) = 0.
1, 51
Let b = -21851/18 + 2429/2. Let i(n) be the second derivative of -b*n**3 + 22*n + 2/3*n**2 + 0 - 1/6*n**4. Determine t so that i(t) = 0.
-2, 1/3
Suppose 517 + 112812*q**2 + 51163*q**4 + 80 + 1734*q**5 + 411 - 6555*q + 177759*q**3 - 6538*q**4 + 26007*q = 0. What is q?
-21, -4, -1/2, -2/17
Let y be ((-2)/(-4) + 1)/((-141)/(-376)). Factor -20*h - 25*h**2 + 7*h**2 - 2*h**3 + y*h.
-2*h*(h + 1)*(h + 8)
Let x = 8 - -2. Let m be (-47)/188*(-48)/x. Factor 0 + m*v**2 - 4/5*v - 2/5*v**3.
-2*v*(v - 2)*(v - 1)/5
Let x(d) be the second derivative of -2/3*d**4 + 30*d - 9/25*d**5 + 1/105*d**7 - 4/75*d**6 + 0*d**2 - 7/15*d**3 + 1. Determine t so that x(t) = 0.
-1, 0, 7
Suppose 218/5*i**2 + 6/5*i**3 - 376/5*i + 152/5 = 0. What is i?
-38, 2/3, 1
Let j(d) be the third derivative of -191*d**2 + 0*d + 1/112*d**8 + 173/4*d**5 + 219/40*d**6 + 0 + 162*d**3 - 33/70*d**7 + 117*d**4. Let j(q) = 0. What is q?
-1, 18
Let r(g) be the third derivative of g**8/4032 - g**7/504 - g**5/15 + g**3/6 - g**2 - 11. Let y(o) be the third derivative of r(o). Factor y(z).
5*z*(z - 2)
Let t = 70148 - 350686/5. Factor t + 21/5*p - 3/5*p**2.
-3*(p - 9)*(p + 2)/5
Let k = 47611/130 + -9517/26. Factor -k*c**2 + 7/5*c + 8/5.
-(c - 8)*(c + 1)/5
Determine d so that -2*d - 2/17*d**3 - 20/17 - 16/17*d**2 = 0.
-5, -2, -1
Let v(i) be the first derivative of 7/4*i**4 + 7/4*i**2 - 8*i + 449/12*i**3 - 109. Determine d so that v(d) = 0.
-16, -2/7, 1/4
Let r(n) be the first derivative of -4/5*n**5 - 64*n**3 + 88 - 13*n**4 + 0*n - 72*n**2. Suppose r(j) = 0. What is j?
-6, -1, 0
Suppose 3*l - 165 = -3*g, g + 5*l = 6*g - 275. Suppose g = 3*i + 5*q, -4*i - 7*q = -2*q - 65. Factor 4*n**3 - 37 - 4*n - i*n**2 - 35 + 10*n**4 + 72.
2*n*(n - 1)*(n + 1)*(5*n + 2)
Let w be (95/(-25) - -1)/((-228)/190). Let o = -16 - -16. Factor 0*u - w*u**4 + o - 4*u**3 + 4/3*u**2.
-u**2*(u + 2)*(7*u - 2)/3
Let m(g) be the second derivative of g**5/20 - 145*g**4/12 - 73*g**3/3 + g + 233. Solve m(a) = 0.
-1, 0, 146
Suppose -18 - 117 = -3*d. Let b = d + -39. Factor 0 - 6 + 4*v**3 + b*v + 28*v**2 + 54*v + 42.
4*(v + 1)*(v + 3)**2
Let m(s) be the first derivative of -s**6/2520 + s**5/120 + s**4/21 + s**3 + 19. Let j(h) be the third derivative of m(h). Solve j(p) = 0.
-1, 8
Let k = 4/1471 - -1423/17652. Let p(h) be the second derivative of 5/12*h**4 - k*h**6 + 0*h**3 - 5/4*h**2 + 0*h**5 + 0 - 16*h. Factor p(c).
-5*(c - 1)**2*(c + 1)**2/2
Let b(i) be the first derivative of -104*i**2 - 68*i - 21 - 20*i**4 - 72*i**3 - 4/5*i**5. Let b(t) = 0. What is t?
-17, -1
Let t(r) be the first derivative of r**4/6 - 10*r**3/9 - 28*r**2 - 2502. Solve t(n) = 0.
-7, 0, 12
Let v(r) be the third derivative of -1/80*r**5 + 154*r**2 + 47/16*r**4 + 0*r + 1 - 2209/8*r**3. Factor v(z).
-3*(z - 47)**2/4
Suppose 1112 = 10*v - 5*w + 1032, -3*v + 3*w = -48. Find k such that -12*k**2 + 0*k + 0*k**3 + 4/3*k**4 + v = 0.
-3, 0, 3
Let y = 10 + -19. Let s be (221/(-3))/(3/y). Determine p so that -218*p - p**3 + s*p - 2 + 0*p**3 = 0.
-2, 1
Let p(j) be the second derivative of -j**5/60 - 125*j**4/36 - 1856*j**3/9 + 2048*j**2 + 7*j + 57. Factor p(g).
-(g - 3)*(g + 64)**2/3
Let 3772/17*c**3 + 6938/17*c**2 + 3860/17*c + 70/17*c**4 + 624/17 = 0. What is c?
-52, -1, -3/5, -2/7
Suppose 0 = -13*i + 36*i - 9545. Suppose 3*p + i = 421. What is q in 4/3*q + 14/9*q**p + 0 + 2/9*q**3 = 0?
-6, -1, 0
Let h(q) be the first derivative of q**8/280 + 9*q**7/560 + q**6/40 + q**5/80 - 4*q**3/3 + 3*q + 84. Let f(v) be the third derivative of h(v). Factor f(d).
3*d*(d + 1)**2*(4*d + 1)/2
Let q = 68 + -67. Let z be 6*(10/6 - q). Factor 0*a**2 + 0*a + 0 + 5/4*a**5 - 1/2*a**3 + 3/4*a**z.
a**3*(a + 1)*(5*a - 2)/4
Let d = 49 + -45. Determine u so that -6*u**2 - 775*u**3 + d - 4 + 778*u**3 = 0.
0, 2
Let w(l) = l**2 + 4*l - 3. Let n be w(-5). Suppose 0 = n*m - 35 - 11. Determine i, given that 3*i**2 - 22*i + m*i - i**2 + i**3 = 0.
-1, 0
Factor -154/5*r + 2/5*r**2 + 60.
2*(r - 75)*(r - 2)/5
Let z be (-1275)/(-175) + (3 - 6)*-1 + -10. Factor -16/7*r + 8/7*r**2 + 4/7*r**3 - z*r**4 + 0.
-2*r*(r - 2)**2*(r + 2)/7
Factor 10 - 36*p + 7/2*p**2.
(p - 10)*(7*p - 2)/2
Factor 3*x**2 + 225*x**5 - 330*x**4 - 435*x**3 + 52*x**2 - 25*x**2 + 436*x**3 + 58*x**2 + 16*x.
x*(x - 1)**2*(15*x + 4)**2
Let x(t) = 3*t**2 - 21*t + 21. Let n be x(15). Factor -n - 24*c - 365 - 3*c**3 + 21*c**2 + 698.
-3*(c - 4)**2*(c + 1)
Let g = -242 + 232. Let l be (g - -8)*2 + 78/19. Factor -4/19*x - l - 2/19*x**2.
-2*(x + 1)**2/19
Let w(n) be the third derivative of n**8/57120 - n**6/2040 - n**5/510 + 3*n**4/8 + 25*n**2. Let u(z) be the second derivative of w(z). Let u(b) = 0. What is b?
-1, 2
Let m(p) = -6*p**2 - 2991*p - 2823. Let l(i) = 3*i**2 + 1504*i + 1411. Let b(d) = -9*l(d) - 5*m(d). Suppose b(w) = 0. Calculate w.
-472, -1
Let g = 1351/22 - 2012/11. Let u = g - -122. Suppose -3/4*a**5 - 1/4*a + 1/2*a**4 + 0 - u*a**2 + a**3 = 0. What is a?
-1, -1/3, 0, 1
Let n(c) be the first derivative of -c**6/8 - 9*c**5/10 + 39*c**4/8 + 39*c**3 - 75*c**2/8 - 225*c/2 - 12321. What is y in n(y) = 0?
-6, -5, -1, 1, 5
Factor -2/3*u**4 + 20*u**2 + 16/3*u**3 + 64/3*u + 22/3.
-2*(u - 11)*(u + 1)**3/3
Let g(i) be the second derivative of -4/45*i**4 + 16/15*i**2 - 1/50*i**5 + 4/45*i**3 + 0 - 200*i. Factor g(b).
-2*(b + 2)**2*(3*b - 4)/15
Suppose v**2 + 5535*v - 2836*v - 3187*v - 489 = 0. Calculate v.
-1, 489
Let a(c) be the second derivative of 5*c**6/6 + 73*c**5/20 - 31*c**4/12 - 73*c**3/6 + 3*c**2 + 48*c - 6. Let a(s) = 0. What is s?
-3, -1, 2/25, 1
Let z(o) = -5*o**3 - 7*o**2 - 13*o - 34. Let g be z(-5). Let f = g - 478. Factor 11/2*t - 2 + 1/2*t**f + 1/2*t**4 - 9/2*t**2.
(t - 1)**3*(t + 4)/2
Let n(v) be the first derivative of -2*v**5/5 - 2*v**4 + 72*v**3 - 416*v**2 + 896*v - 6016. Factor n(w).
-2*(w - 4)**2*(w - 2)*(w + 14)
Suppose 240*d = 99*d - 4 + 427. Let m(p) be the first derivative of 12*p**2 + 20*p**d - 39/2*p**4 + 0*p + 21/5*p**5 + 34. Let m(c) = 0. What is c?
-2/7, 0, 2
Let q = 54 + -30. Factor 39*b**4 + 8*b - 4*b**5 - 43*b**4 - 12*b**3 + 20*b**2 + q*b**3.
-4*b*(b - 2)*(b + 1)**3
Let s(x) = -4*x. Let j(a) = -a**2 - 11*a - 31 + 31 + 6*a. Let u(h) = 2*j(h) - 3*s(h). Determine t, given that u(t) = 0.
0, 1
Let p(u) be the third derivative of 0 + 0*u - 20*u**2 - 18*u**3 + 35/8*u**4 + 1/20*u**5. Factor p(a).
3*(a - 1)*(a + 36)
Let z = -118 + 673. Find c such that 18 + 69*c**3 - 180*c**5 + 151*c**2 + c**3 + 3 + 149*c**2 - 130*c - z*c**4 - 6 = 0.
-3, -1, 1/4, 1/3
Let k(d) be the third derivative of d**7/560 + d**6/120 - 13*d**5/480 - 5*d**4/32 - 1188*d**2 + 2. Let k(h) = 0. Calculate h.
-3, -5/3, 0, 2
Let r(t) be the third derivative of 0*t + 0 + 23/480*t**6 + 1/120*t**7 + 0*t**3 - 27*t**2 - 1/12*t**4 - 11/120*t**5. Factor r(x).
x*(x - 1)*(x + 4)*(7*x + 2)/4
Let c(x) be the first derivative of -28*x**2 - 294*x**3 - 8/9*x + 91. Find p, given that c(p) = 0.
-2/63
Let f(g) be the first derivative of 16/3*g**3 - 1/210*g**5 + 9 + 0*g - 1/210*g**6 + 0*g**2 + 1/21*g**4. Let c(m) be the third derivative of f(m). Factor c(i).
-4*(i + 1)*(3*i - 2)/7
Solve 11/5 - 1/5*w**2 + 2*w = 0 for w.
-1, 11
Let o(q) be the third derivative of 0*q**4 - 3*q - 1/735*q**7 - 1/1176*q**8 + 0 + 0*q**3 + 0*q**5 + 1/210*q**6 - 32*q**2. Factor o(d).
-2*d**3*(d - 1)*(d + 2)/7
Factor -154 - 80/3*l - 2/3*l**2.
-2*(l + 7)*(l + 33)/3
Suppose 5*p = -3*y + 2009, 4*y = 6*y - 6. Let c be 40/p - (-4)/10. Let -1/4*k**4 - 3