125*w + 736. Let m(g) = 11*f(g) - 4*n(g). Factor m(k).
(k - 37)*(k + 20)
Let x(r) be the first derivative of 57 - 3/25*r**5 + 0*r - 3/5*r**4 - 3/5*r**3 + 0*r**2. Solve x(v) = 0.
-3, -1, 0
Let z(c) = -5*c**2 - c - 4. Let f(i) = -7*i**2 - 2747*i + 2734. Let v(x) = -f(x) + 2*z(x). Factor v(m).
-3*(m - 914)*(m - 1)
Let y(j) = 6*j**3 + 187*j**2 + 8395*j + 16195. Let g(b) = -b**3 - b**2 + 13*b + 1. Let u(m) = -10*g(m) - 2*y(m). Suppose u(n) = 0. Calculate n.
-90, -2
Let t(y) be the first derivative of -5445/2*y**2 - 171 + 55*y**3 + 59895*y - 5/12*y**4. Determine b, given that t(b) = 0.
33
Let j(o) be the first derivative of o**7/126 + 7*o**6/180 + o**5/30 - o**4/18 - 81*o + 23. Let f(c) be the first derivative of j(c). What is u in f(u) = 0?
-2, 0, 1/2
Let q = 299 + -297. Find b, given that 4*b**3 + 0*b**4 - 2*b**4 - 206*b**2 + 2*b**4 + b**4 - 18*b + 203*b**q = 0.
-3, 0, 2
Let l(k) be the first derivative of -7*k**5/5 + 89*k**4/2 - 292*k**3 - 1652*k**2 - 1568*k - 3895. Determine x, given that l(x) = 0.
-2, -4/7, 14
Let r(o) be the third derivative of -o**8/112 - 8*o**7/35 - 77*o**6/40 - 49*o**5/10 - 4141*o**2. Determine d so that r(d) = 0.
-7, -2, 0
Let s be (-6)/2*((-250)/(-30))/(-5). Solve 27*x**s - 24*x**2 - 24*x + 20*x**2 + 36*x**2 + 68*x**2 + 27*x**4 - 126*x**3 = 0 for x.
-3, 0, 2/3
Let x(k) = 2*k**2 - 1. Let n(m) = 3*m**3 - 4*m**2 - 24*m + 5. Let w(l) = -n(l) - 5*x(l). Factor w(z).
-3*z*(z - 2)*(z + 4)
Factor 2/11*t**3 + 2*t**2 - 54/11 + 30/11*t.
2*(t - 1)*(t + 3)*(t + 9)/11
What is m in -1/4*m**4 + 0 + 1/4*m**2 - 5/2*m**3 + 5/2*m = 0?
-10, -1, 0, 1
Let k = 17408/9 + -17402/9. What is a in 0*a**2 + 0*a**4 + 0*a + k*a**3 - 2/3*a**5 + 0 = 0?
-1, 0, 1
Suppose 1665 = 6*i - 1185. Let n = i + -471. Solve 3*b - 9/4*b**3 - 3/4*b**n + 0 + 0*b**2 = 0 for b.
-2, 0, 1
Let h(o) be the third derivative of o**7/28 + 37*o**6/48 + 3*o**5 - 335*o**4/12 - 40*o**3 + 12*o**2 + 10*o. Find v such that h(v) = 0.
-8, -6, -1/3, 2
Let f(x) = -4*x**3 + 660*x**2 - 1314*x + 661. Let o(b) = -18*b**3 + 3298*b**2 - 6570*b + 3304. Let h(u) = 14*f(u) - 3*o(u). Factor h(j).
-2*(j - 1)**2*(j + 329)
Let n(m) be the first derivative of -1/15*m**3 - 7/10*m**2 + 1/5*m + 7/20*m**4 + 44. Factor n(w).
(w - 1)*(w + 1)*(7*w - 1)/5
Suppose -17*s = 66*s - 166. Let n(v) be the first derivative of v**4 + 0*v - 8/9*v**3 + 7 + 1/9*v**6 - 8/15*v**5 + 1/3*v**s. Suppose n(f) = 0. What is f?
0, 1
Factor 3/4*t**3 + 237/4*t - 69/4*t**2 - 171/4.
3*(t - 19)*(t - 3)*(t - 1)/4
Solve -109/4*r**5 - 6053/4*r**3 + 0 - 27/2*r - 3163/4*r**4 - 3053/4*r**2 = 0.
-27, -1, -2/109, 0
Factor -39666 + 210*j**3 - 2*j**4 + 439*j**3 - 15444*j + 3162 + 1350*j**2 - j**5 - 50*j**4 + 2*j**5.
(j - 26)**2*(j - 6)*(j + 3)**2
Let b(a) = -7*a**3 + 1112*a**2 - 1492*a + 367. Let u(m) = -4*m**3 + 558*m**2 - 746*m + 184. Let f(q) = -2*b(q) + 5*u(q). Let f(t) = 0. What is t?
1/3, 1, 93
Let t(r) be the first derivative of -r**5/360 + r**3/4 - 11*r**2/2 - 10. Let g(i) be the second derivative of t(i). Find x such that g(x) = 0.
-3, 3
Let m = -9812 + 19627/2. Let j(r) be the first derivative of -4*r + 1/3*r**3 + 10 - m*r**2. Factor j(o).
(o - 4)*(o + 1)
Let m be (6 + 1)*29*-1*1. Let i = m + 756. Factor 0 + u**2 + 0 + i*u - 555*u.
u*(u - 2)
Let w(x) be the first derivative of -x**6/780 + 7*x**4/156 + 2*x**3/13 + 3*x**2/2 - 3*x - 9. Let d(z) be the second derivative of w(z). Solve d(g) = 0 for g.
-2, -1, 3
Let l(t) be the third derivative of -4*t**2 + 10 + t**4 + 1/14*t**7 + 11/10*t**5 - 39/40*t**6 + 1/28*t**8 + 0*t + 0*t**3. Determine a so that l(a) = 0.
-4, -1/4, 0, 1, 2
Let g = 266344/199731 - 12/66577. Factor 0 + 4/3*y**3 + g*y**2 - 4/3*y**4 - 4/3*y.
-4*y*(y - 1)**2*(y + 1)/3
Let a(b) = -b**3 + 27*b**2 - 71*b + 16. Let s be a(24). Let y(p) be the first derivative of 45/2*p**2 + 5/3*p**3 + 46 + s*p. Determine q, given that y(q) = 0.
-8, -1
Let p(n) = -9*n**4 + 49*n**3 + 187*n**2 - 1245*n - 3150. Let a(i) = 80*i**4 - 445*i**3 - 1680*i**2 + 11205*i + 28350. Let g(k) = 4*a(k) + 35*p(k). Factor g(u).
5*(u - 14)*(u - 5)*(u + 3)**2
Let i = -755 + 757. Let g be (i/(-48))/(2*5/(-30)). Factor 0 - g*u**2 - 1/8*u.
-u*(u + 1)/8
Let x(c) be the second derivative of -c**7/105 + 3*c**5/10 - 81*c**2/2 + 143*c. Let d(a) be the first derivative of x(a). Factor d(f).
-2*f**2*(f - 3)*(f + 3)
Let y(t) = 9*t**2 - 2*t - 3. Let w be y(3). Factor -3*b**3 + 73*b**5 + 20*b**2 - 8*b**4 - 12*b + 2*b**4 - w*b**5.
b*(b - 6)*(b - 1)**2*(b + 2)
Let h(d) = 4*d**3 + 74*d**2 + 629*d + 539. Let j(w) = -12*w**3 - 228*w**2 - 1890*w - 1618. Let r(v) = -14*h(v) - 5*j(v). Factor r(t).
4*(t + 1)*(t + 8)*(t + 17)
Let o(a) = -a**3 - 3*a**2 - 2*a - 4. Let d be o(-3). Let t = -226 + 231. Factor -7*p**3 + p**4 + d*p**4 + 6*p - 8*p**2 + t*p**2 - 2*p**3 + 3*p**5.
3*p*(p - 1)**2*(p + 1)*(p + 2)
Let u(d) = -d**3 + 20*d**2 + 11*d - 78. Let z(n) = 3*n**3 - 43*n**2 - 24*n + 156. Let p(s) = 5*u(s) + 2*z(s). Factor p(t).
(t - 2)*(t + 3)*(t + 13)
Let 1353/7*y**2 - 108/7*y**5 - 2169/7*y**4 + 60/7 - 111/7*y**3 - 537/7*y = 0. Calculate y.
-20, -1, 1/4, 1/3
Suppose -4*i - 4*v + 0*v + 12 = 0, 4*i = 3*v - 9. Let h(c) be the second derivative of 5/6*c**3 + 1/12*c**4 + 9*c + 2*c**2 + i. Factor h(m).
(m + 1)*(m + 4)
Let o(w) = 1163*w**3 - 2323*w**3 - w + 1161*w**3. Let f(l) = l**3 + 16*l**2 - l - 16. Let p(y) = -f(y) - 3*o(y). Factor p(t).
-4*(t - 1)*(t + 1)*(t + 4)
Let l(o) be the second derivative of o**4/60 + 2*o**3/15 - 16*o**2/5 - 2*o + 97. Factor l(z).
(z - 4)*(z + 8)/5
Suppose -4/3*m**3 + 52*m**2 - 148 - 284/3*m = 0. Calculate m.
-1, 3, 37
Let y(p) be the second derivative of 3/16*p**3 - 9/160*p**5 + 1/32*p**4 + 0 - 1/80*p**6 + 0*p**2 + 81*p. Factor y(f).
-3*f*(f - 1)*(f + 1)*(f + 3)/8
Let f(j) be the second derivative of -j**6/180 - j**5/3 + 7*j**4/4 - 10*j**3/3 - 3*j**2/2 + 2*j + 3. Let i(w) be the second derivative of f(w). Factor i(s).
-2*(s - 1)*(s + 21)
Let h(l) be the third derivative of l**6/120 - 1589*l**5/20 + 2524921*l**4/8 - 4012099469*l**3/6 - l**2 + 76*l. Solve h(c) = 0 for c.
1589
Let d(x) be the first derivative of 0*x - 1/12*x**3 + 69 - 1/4*x**2. What is v in d(v) = 0?
-2, 0
Let s(y) be the second derivative of 2*y**6/15 - 21*y**5/5 + 131*y**4/3 - 114*y**3 - 648*y**2 - 818*y. Suppose s(o) = 0. What is o?
-1, 4, 9
Let q(w) be the third derivative of 2*w**7/525 + 29*w**6/600 + 31*w**5/300 + w**4/20 - 1495*w**2. Factor q(g).
g*(g + 1)*(g + 6)*(4*g + 1)/5
Factor 63/4*o**2 + 0 - 17/4*o**3 + 1/4*o**4 + 81/4*o.
o*(o - 9)**2*(o + 1)/4
Let l(f) be the third derivative of f**5/140 + 633*f**4/28 + 400689*f**3/14 + 1169*f**2. Find u, given that l(u) = 0.
-633
Let m(c) be the second derivative of -1/18*c**3 + 86*c + 1/60*c**5 - c**2 + 0 + 1/6*c**4. Factor m(z).
(z - 1)*(z + 1)*(z + 6)/3
Let i(p) be the first derivative of -2*p**5/5 + 23*p**4 - 962*p**3/3 - 1104*p**2 - 1152*p - 14709. Determine s so that i(s) = 0.
-1, 24
Let y(h) = -5*h**2 - 32*h + 21. Let k be y(-7). Let g(a) be the third derivative of -1/12*a**4 + k + 0*a**3 + 0*a + 1/15*a**5 + 5*a**2 - 1/60*a**6. Factor g(u).
-2*u*(u - 1)**2
Let y(x) be the second derivative of -x**4/6 + 2470*x**3/3 - 1525225*x**2 + 3*x - 76. Factor y(j).
-2*(j - 1235)**2
Let x(h) be the second derivative of h**5/12 - 8095*h**4/12 + 13105805*h**3/6 - 21218298295*h**2/6 - 34*h + 11. Factor x(u).
5*(u - 1619)**3/3
Let t(n) = -n**3 + 4*n**2 + 8*n - 13. Let i be (-24)/(-3)*1/2. Let y be t(i). Solve 4 + 8*c**2 - y*c**2 + 11*c**2 + 4*c**2 - 8*c = 0.
1
Let x be (-2944)/1840*(5/2)/1. Let k(y) = 4*y + 16. Let w be k(x). Factor w - 1/4*q**2 + 1/2*q.
-q*(q - 2)/4
Let x be (-4)/(-10) - (-4)/(-10). Let j = 1532/9 + -6119/36. Determine r so that 0 - j*r**4 - 1/2*r + x*r**3 + 3/4*r**2 = 0.
-2, 0, 1
Let n(r) be the third derivative of r**8/112 - 4*r**7/35 + 2*r**6/5 + 9*r**5/10 - 81*r**4/8 + 27*r**3 - 2*r**2 - 87. Find w such that n(w) = 0.
-2, 1, 3
Let j(y) = y**3 + 8*y**2 - y - 4. Let d be j(-8). Let s be 15/(2 - 14 - 675/(-45)). Factor -14/11*b**d - 2/11*b**s - 38/11*b**3 - 32/11*b - 8/11 - 50/11*b**2.
-2*(b + 1)**3*(b + 2)**2/11
Let c(z) be the first derivative of 63*z**4/16 + 253*z**3/2 + 1152*z**2 + 216*z - 679. Factor c(j).
3*(j + 12)**2*(21*j + 2)/4
Let r(a) be the first derivative of a**6/42 - 5*a**5/7 + 171*a**4/28 - 153*a**3/7 + 216*a**2/7 - 1752. Determin