 + 38*c**3.
-5*c**3*(c - 1)*(c + 6)
Determine w, given that -384*w**2 + 800/7*w**3 + 0 - 74/7*w**4 + 2/7*w**5 + 0*w = 0.
0, 8, 21
Suppose f - 2 = 3*f. Let m(s) = -s**2 - 7*s - 2. Let h(q) be the first derivative of q**2/2 - 888. Let r(u) = f*m(u) - 4*h(u). Factor r(v).
(v + 1)*(v + 2)
Suppose 0 = 235*v - 230*v - 25. Determine u, given that 30 + 60*u - 102 - 108 - v*u**2 + 0*u = 0.
6
Let g(f) be the second derivative of -f**4/60 - 9*f**3/10 - 17*f**2 - 3*f + 46. Let g(y) = 0. What is y?
-17, -10
Factor 678*o**2 - 157*o + o**3 - 2963*o + 888*o**2 - o**3 - 3*o**3.
-3*o*(o - 520)*(o - 2)
Suppose 2 = 276*k - 275*k. Let w(a) be the first derivative of 9 + 1/2*a**3 - 15/16*a**4 + 15/8*a**k - 3/2*a. Factor w(h).
-3*(h - 1)*(h + 1)*(5*h - 2)/4
Let b(d) be the second derivative of 1/25*d**5 + 107*d + 0*d**2 - 4/15*d**4 - 8/15*d**3 + 0 + 2/75*d**6. Suppose b(v) = 0. Calculate v.
-2, -1, 0, 2
Let f = -24/160357 + -1014257449/3848568. Let g = f - -821/3. Find i such that -1/8*i**2 - 9/4*i - g = 0.
-9
Let z(c) be the third derivative of -1/360*c**6 + 1/630*c**7 - 1/24*c**4 - 1/36*c**5 + 2*c**2 + 45 + 0*c + 0*c**3. Solve z(t) = 0.
-1, 0, 3
Let i be (-15)/2*(126/30 + -5). Solve -10*p**4 - i*p**3 + 219*p**2 + 24 - 374*p**2 + 56*p + 189*p**2 - 2*p**5 = 0.
-3, -2, -1, 2
Let m be (-2835)/(-3)*(14/3 + -3). Suppose -m*v + 1583*v = 0. Factor 3*p + v - 3/4*p**4 + 3*p**2 - 3/4*p**3.
-3*p*(p - 2)*(p + 1)*(p + 2)/4
Let q = -5987 - -5996. Let b(u) be the second derivative of 0 + 0*u**2 - q*u + u**3 + 1/4*u**4. Suppose b(x) = 0. What is x?
-2, 0
Factor -391*h**2 + 786*h**2 - 559*h**2 - 4*h**3 + 468*h + 428*h - 1104.
-4*(h - 3)*(h - 2)*(h + 46)
Let v(z) be the second derivative of -10/3*z**3 + 0 + 0*z**2 + 0*z**4 + 47*z + 1/4*z**5. Factor v(o).
5*o*(o - 2)*(o + 2)
Let j(f) = 9*f**2 + 804*f - 161574. Let n(o) = -2*o**2 - 6. Let w(l) = -j(l) - 5*n(l). Factor w(x).
(x - 402)**2
Let j(h) = 4*h**3 - 23*h**2 - 14*h + 51. Let s be j(6). Find d such that 0 - 2/5*d**s - 4/5*d**2 - 2/5*d = 0.
-1, 0
Let d(y) be the second derivative of -y**5/130 + y**4/26 - 2*y**3/39 - 1912*y. Let d(t) = 0. What is t?
0, 1, 2
Let z(r) be the first derivative of -4*r**4 + 0*r + 8*r**2 + 4/3*r**3 - 4/5*r**5 + 15. Factor z(n).
-4*n*(n - 1)*(n + 1)*(n + 4)
Let v be ((-89)/(-5) - -2)*(-5)/(-95). Let d = v + 3/19. Let -96/5 + d*p**3 - 72/5*p + 0*p**2 = 0. Calculate p.
-2, 4
Let k(j) = j**3 - 8*j**2 - 12*j + 30. Let v be k(9). Factor -21*p - 4 + 0*p**4 - 32*p**2 + 3*p - 12*p**4 - 6*p**3 - 22*p**v - 2*p**5.
-2*(p + 1)**4*(p + 2)
Let q(h) be the third derivative of -h**6/360 - 19*h**5/180 - 13*h**4/9 - 70*h**3/9 + 3*h**2 - 55. Factor q(m).
-(m + 2)*(m + 7)*(m + 10)/3
Let i = 9767 - 9764. Let h(f) be the third derivative of 1/140*f**6 + 0 + 2*f**2 + 0*f**i + 0*f + 1/35*f**5 + 1/21*f**4 + 1/1470*f**7. Solve h(n) = 0.
-2, 0
Let f(i) be the first derivative of i**5 - 65*i**4/2 - 5*i**3/3 + 65*i**2 - 931. Factor f(h).
5*h*(h - 26)*(h - 1)*(h + 1)
Solve -85*l - 594 + 48*l + 22*l + 3*l**2 + 36*l + 0*l**2 = 0.
-18, 11
Let j be (-21 + 12 + 10)*(10 - 18 - -10). Factor 10/13*p + 12/13 + 2/13*p**j.
2*(p + 2)*(p + 3)/13
Suppose 5*y + 9 = 2*y, 291 = 3*v + 3*y. Let r = v - 96. Let 24*w**2 - 2*w**r + 8*w**4 - 30*w**2 + w**3 + 2*w**3 - 3*w**5 = 0. Calculate w.
-1, 0, 1, 2
Let y = -21091 + 63278/3. Let b(g) be the third derivative of 5/24*g**4 - 1/24*g**6 - y*g**3 + 1/6*g**5 + 0 + 16*g**2 + 0*g. Factor b(d).
-5*(d - 2)*(d - 1)*(d + 1)
Let a(g) be the second derivative of g**5/50 - 17*g**4/30 + 22*g**3/5 + 166*g. Determine b so that a(b) = 0.
0, 6, 11
Let q = -12 + 36. Let v = q + -22. Factor 0*n**4 - v*n**5 + 769*n**3 - 8*n**4 - 777*n**3.
-2*n**3*(n + 2)**2
Factor 91127*g - 3*g**3 - 20 - 25*g**2 - 91175*g + 3*g**3 + 3*g**3.
(g - 10)*(g + 1)*(3*g + 2)
Factor -50*y**2 - 50*y + 328*y - 396 + 59*y**2 + 6*y**3 - 53*y**2 - 4*y**3.
2*(y - 11)*(y - 9)*(y - 2)
Let l(d) = 9*d**2 - 36*d + 1. Let j be l(4). Let c be 37 + -35 - 1/(j/2). Factor 0*z + 0 + c*z**4 - 3/10*z**3 + 1/5*z**2 + 1/10*z**5.
z**2*(z - 1)**2*(z + 2)/10
Suppose 2*j - 4 = 10. Factor 6*h**3 + 61*h**4 - j*h**2 + 25*h**5 - h**3 - 3*h**2 - 21*h**4.
5*h**2*(h + 1)**2*(5*h - 2)
Suppose -3*q + 44 = -12*d + 14*d, -4*q - 110 = -5*d. Solve 490*f**2 - d*f - 161*f**2 - 157*f**2 - f**3 - 159*f**2 = 0 for f.
0, 2, 11
Let t(m) be the third derivative of -m**5/12 - 95*m**4/8 - 1505*m**3/3 + 11*m**2 + 97*m. Factor t(v).
-5*(v + 14)*(v + 43)
Factor 77262 + 75820 - 2430*f + 5*f**2 + 142163.
5*(f - 243)**2
Let t(i) be the first derivative of 6*i**5/85 - 131*i**4/34 + 416*i**3/51 + 84*i**2/17 - 339. Solve t(n) = 0 for n.
-1/3, 0, 2, 42
Find q, given that -348438*q**2 + 348442*q**2 + 844*q - 98*q + 2202 = 0.
-367/2, -3
Suppose 21*s + 12948 = 25*s. Suppose 10*g**2 + 3219 - 2*g - s + 9*g + g**3 = 0. What is g?
-9, -2, 1
Let v(r) be the third derivative of r**7/70 + 11*r**6/40 - 97*r**5/20 + 85*r**4/8 - r**2 - 89*r - 5. Suppose v(y) = 0. Calculate y.
-17, 0, 1, 5
Let w = -108 + 111. Determine p, given that 202*p**2 + 150*p + 70*p**w + 7*p**4 + 18*p**3 + 28 - 21*p**4 - 22*p**3 = 0.
-1, -2/7, 7
Let c(o) be the third derivative of o**7/1260 + o**6/60 - 83*o**5/360 - 143*o**4/24 + 484*o**3/9 + 3946*o**2. Factor c(a).
(a - 8)*(a - 2)*(a + 11)**2/6
Let c(v) = v**2 - 3*v + 8. Let h be (-6 + 7)/(2/20*2). Suppose 5*a - h = 10*a. Let n(g) = -g**2 + g. Let s(u) = a*c(u) - 3*n(u). What is i in s(i) = 0?
-2, 2
Suppose 0 = -2*q + 6 + 4. Suppose 10*x + c - 12 = q*x, 5*c = -2*x - 9. Factor -20*i + 17*i - 5*i**2 + 6*i**3 + 8 - x*i**5 - 5 + 3*i**4 - i**2.
-3*(i - 1)**3*(i + 1)**2
Let l(z) be the third derivative of -z**10/756000 - z**9/60480 - 53*z**5/60 + 89*z**2. Let q(x) be the third derivative of l(x). Suppose q(i) = 0. What is i?
-5, 0
Let m(c) be the third derivative of 1/60*c**5 - 1/24*c**4 + 1/120*c**6 + 0 - 1/6*c**3 + 0*c + 77*c**2. Solve m(w) = 0 for w.
-1, 1
Let h(q) = 3*q**3 - 6*q**2 - 11*q - 11. Let f be h(6). Factor -351*l**4 - l**3 - 3*l**3 + f*l**4 - 4*l**2 + 4*l.
4*l*(l - 1)**2*(l + 1)
Suppose 30*r - 84 = 2*r. Factor -6*x**3 + 6*x**2 - 16 - 11*x + r*x + 4*x**2 + 10*x**2.
-2*(x - 2)**2*(3*x + 2)
Let a(c) be the first derivative of -12*c**5/5 + 14*c**4 - 68*c**3/3 + 12*c**2 + 957. Find v such that a(v) = 0.
0, 2/3, 1, 3
Let 288*n**2 - 384 + 55*n**3 + 53*n**3 - 216*n**3 + 4*n**4 + 16*n = 0. Calculate n.
-1, 2, 24
Let x(i) be the second derivative of 3*i**3 + 0*i**2 + 0*i**5 - 1/144*i**4 + 1/2160*i**6 + 4*i + 0. Let d(q) be the second derivative of x(q). Factor d(v).
(v - 1)*(v + 1)/6
Suppose -8*v = -36*v + 56. Factor 2*y**5 - 2*y**3 - 8*y**v + 6*y - 12*y**4 + 18*y**3 - 15*y**2 + 3*y**2 + 8*y**3.
2*y*(y - 3)*(y - 1)**3
Suppose 0 = -3175*p + 3229*p - 162. Find h, given that 561/2*h**2 + 75/2*h**4 - 327/2*h**p - 213*h + 60 - 3/2*h**5 = 0.
1, 2, 20
Let p = -1521 + 1079. Let x = 442 + p. What is f in -f + x - 1/4*f**3 + f**2 = 0?
0, 2
What is y in 171*y**3 - 5*y + 54*y**2 - 726*y**2 + 22*y + 21*y**4 + 1056 - 53*y = 0?
-11, -8/7, 2
Let t(b) = 6*b**3 + 264*b**2 + 3346*b + 9614. Let s(p) = -10*p**3 - 440*p**2 - 5576*p - 16024. Let o(f) = 7*s(f) + 12*t(f). Find i, given that o(i) = 0.
-20, -4
Let t = -723 + 1851. Let y = t + -1126. Factor -15/7 - 3*a**y - 3/7*a**3 - 33/7*a.
-3*(a + 1)**2*(a + 5)/7
Let o(s) be the first derivative of -s**6/27 - 4*s**5/45 + 4*s**3/27 + s**2/9 + 688. Factor o(k).
-2*k*(k - 1)*(k + 1)**3/9
Let i = 37 + -35. Suppose -3*b = -5*q - 19, -i*b - 5 + 1 = 5*q. Factor -17*u**3 - 4 + 8*u**3 + 58 - 63*u + 24*u**2 + 6*u**b.
-3*(u - 3)**2*(u - 2)
Factor 0 + 2/5*d**3 + 14/5*d**2 - 12*d.
2*d*(d - 3)*(d + 10)/5
Suppose -97 - 41 = -46*t. Determine j so that 1/11*j**t + 0 - 1/11*j**2 + 0*j = 0.
0, 1
Let w(x) be the first derivative of x**4/21 - 46*x**3/21 + 92*x + 120. Let g(q) be the first derivative of w(q). Factor g(c).
4*c*(c - 23)/7
Let x(g) be the third derivative of g**7/5880 - g**6/180 + 5*g**5/168 - g**4/14 - 7*g**3/3 + 56*g**2. Let p(o) be the first derivative of x(o). Factor p(h).
(h - 12)*(h - 1)**2/7
Let n = 13605 + -81629/6. Determine a, given that -n*a**2 - 5/6*a + 7/3 = 0.
-7, 2
Let q(z) be the first derivative of -624/5*z**2 - 1188/5*z**3 + 225 - 121/5*z**4 - 112/5*z. Determine c so that q(c) = 0.
-7, -2/11
Let m = 156687 - 3290425/21. Let -m*p**3 + 26/21*p + 20/21 + 4/21*p**