*p**3 - 1/10*p**5 + 0*p**2. Factor u(b).
-2*b*(b - 2)*(b + 1)
Let i(g) = 3539*g - 28312. Let l be i(8). Factor -2/11*h**4 + 12/11*h**3 + l*h - 10/11*h**2 + 0.
-2*h**2*(h - 5)*(h - 1)/11
Let z(j) be the first derivative of j**6/6 + 9*j**5/2 + 15*j**4/4 - 540*j**3 + 3240*j**2 + 128*j + 43. Let u(o) be the first derivative of z(o). Factor u(n).
5*(n - 3)**2*(n + 12)**2
Suppose 304*s + 325*s**5 + 113*s**5 + 325*s**5 - 3556*s**4 + 21*s**5 + 4888*s**3 - 16 - 1972*s**2 = 0. What is s?
1/7, 1/4, 2
Let t(v) = -10*v**2 - 12*v. Let h = 109 + -103. Let o(n) = 18*n**2 + 23*n. Let k(c) = h*o(c) + 11*t(c). Solve k(i) = 0.
0, 3
Let c(t) be the first derivative of -40*t**2 + 16*t**4 - 28*t + 4 + 8/3*t**6 + 152/3*t**3 - 124/5*t**5. Suppose c(s) = 0. Calculate s.
-1, -1/4, 1, 7
Let -128*v**3 - 20*v**4 + 484 + 1892*v + 1277*v**2 + 12*v**4 + 11*v**4 = 0. What is v?
-1, -1/3, 22
Let s(m) be the second derivative of -m**4 + 0*m**3 - 95*m + 0*m**2 + 1/5*m**5 - 1. What is d in s(d) = 0?
0, 3
Let d(l) = 10*l**2 + 1830*l + 1228. Let t(c) = -39*c**2 - 7321*c - 4910. Let f(r) = 15*d(r) + 4*t(r). Solve f(k) = 0 for k.
-305, -2/3
Let x(o) be the third derivative of -o**8/2800 + o**7/1400 + o**6/50 - 19*o**3/2 - o**2 + 31. Let k(z) be the first derivative of x(z). Solve k(p) = 0 for p.
-3, 0, 4
Suppose 2*l - 422 = -3*q, -2*q + 5*l - 2*l + 277 = 0. Suppose f + q = 36*f. Factor -15/2*d**2 - 5/4*d**f + 5*d**3 + 5*d - 5/4.
-5*(d - 1)**4/4
Suppose 1493 = 103*f - 100*f + r, 4*f - 5*r - 2016 = 0. Suppose -25 = -5*k, -2*b - 2*k + 515 = f. Factor -1 - 3/4*o**2 + 2*o + 1/4*o**4 - 1/2*o**b.
(o - 2)*(o - 1)**2*(o + 2)/4
Let d(i) be the third derivative of -39*i**2 + 0*i + 2/3*i**3 + 1/10*i**5 - 4 + 13/36*i**4 + 1/90*i**6. Let d(k) = 0. What is k?
-2, -3/2, -1
Let s = -370 + 376. Let g be -3 + s/(12/5) + 1. Factor 3/2*j + g*j**3 + 5/2*j**2 - 9/2.
(j - 1)*(j + 3)**2/2
Suppose -13*a = 1236 - 1262. Solve -4/3 - x + 1/3*x**a = 0.
-1, 4
Factor -147*u + 120 - 215 + u**2 + 53*u.
(u - 95)*(u + 1)
Suppose -36*y + 32*y + 36 = 0. Let m be ((-6)/y + 0)/(2/(-2)). Determine r so that m*r - 2/9*r**2 + 0 = 0.
0, 3
Let g(s) be the first derivative of -s**7/42 + s**6/8 - s**5/12 - 56*s**3/3 + 91. Let t(k) be the third derivative of g(k). Factor t(y).
-5*y*(y - 2)*(4*y - 1)
Let q(y) be the first derivative of -62500*y**6/27 + 23500*y**5/9 + 128675*y**4/18 + 15149*y**3/27 + 301*y**2/18 + 2*y/9 + 6741. Solve q(g) = 0 for g.
-1, -1/50, 2
Let m(s) be the second derivative of 1/6*s**6 + 0*s**3 + 0*s**2 + 5/4*s**5 + 5/2*s**4 - 1 - 25*s. Factor m(c).
5*c**2*(c + 2)*(c + 3)
Let d(b) be the third derivative of -b**7/315 - b**6/36 + 13*b**5/90 - 7*b**4/36 - 32*b**2 - 16*b. Solve d(x) = 0.
-7, 0, 1
Let j = 16686 - 16683. Let d(v) be the first derivative of 48*v**2 + 11/5*v**5 + 36*v + 26 + 97/3*v**j + 1/6*v**6 + 47/4*v**4. Factor d(r).
(r + 1)*(r + 2)**2*(r + 3)**2
Let o(p) be the third derivative of 13*p**2 + 2 + 2/7*p**3 - 2/35*p**5 + 1/392*p**8 - 1/70*p**6 + 2/245*p**7 + 1/28*p**4 + 0*p. Suppose o(g) = 0. What is g?
-2, -1, 1
Let t(g) be the second derivative of g**5/660 - g**4/264 + 33*g**2 - 55*g. Let w(u) be the first derivative of t(u). Find s, given that w(s) = 0.
0, 1
Let b(y) be the third derivative of -10*y**2 + 1/12*y**5 + 2645/6*y**3 + 0*y - 115/12*y**4 + 2. Factor b(a).
5*(a - 23)**2
Let b(u) = 6*u**3 + 60*u**2 - 54*u - 36. Let f(x) = -x**3 - 9*x**2 + x + 1. Let g(m) = b(m) + 9*f(m). Factor g(k).
-3*(k + 1)*(k + 3)**2
Factor 3*j**3 + 1/6*j**2 - 1/6*j**4 + 0 - 3*j.
-j*(j - 18)*(j - 1)*(j + 1)/6
Let r(b) be the third derivative of b**8/1848 + 9*b**7/385 - 29*b**6/220 + 89*b**5/330 - 5*b**4/22 + 2*b**2 + 1191. Factor r(c).
2*c*(c - 1)**3*(c + 30)/11
Let d(k) be the third derivative of -4*k**7/525 + 5*k**6/3 - 5291*k**5/50 + 775*k**4/3 - 3844*k**3/15 - 2454*k**2. Factor d(t).
-2*(t - 62)**2*(2*t - 1)**2/5
Suppose -625*c**2 - 1804*c - 94*c + 2552*c**3 - 148*c**2 - 2554*c**3 - 179*c**2 - 948 = 0. What is c?
-474, -1
Let -2/11*i**3 - 932/11 + 470/11*i + 464/11*i**2 = 0. What is i?
-2, 1, 233
Let x = 9507 + -9505. Let q(s) be the second derivative of -1/140*s**5 + 1/42*s**3 + 0*s**x - 1/84*s**4 + 0 + 1/210*s**6 - 5*s. Suppose q(o) = 0. What is o?
-1, 0, 1
Let t = -369 - -373. What is f in 270 + 48*f**5 + 43*f**4 + 534*f**2 + 368*f - 25*f**4 - 234*f**t - 121*f + 554*f - 261*f**3 = 0?
-1, -3/4, 2, 5
Let u = 209086/35 + -29868/5. Find v such that -u*v**2 - 34/7 + 36/7*v = 0.
1, 17
Let c(j) be the second derivative of 11*j**5/5 + 19*j**4 + 20*j**3/3 + 891*j. Factor c(z).
4*z*(z + 5)*(11*z + 2)
Solve 2/3*m**5 + 216*m**2 - 640/3*m**3 + 154/3*m**4 + 0*m + 0 = 0.
-81, 0, 2
Let j(q) be the third derivative of -q**7/1155 - q**6/66 - q**5/10 - q**4/3 - 20*q**3/33 + 5*q**2 + 145. Suppose j(x) = 0. Calculate x.
-5, -2, -1
Let c be 3 + 1 - (10 + -9). Let b(u) be the second derivative of 0 - 1/4*u**2 - c*u + 1/40*u**5 - 1/8*u**4 + 1/4*u**3. Factor b(l).
(l - 1)**3/2
Let i(h) = -12*h**2 - 3266*h. Let o(n) = -4*n**2 - 1091*n. Let b(a) = -3*i(a) + 10*o(a). Factor b(q).
-4*q*(q + 278)
Factor -20*l**3 - 1420*l**2 + 72 + 116*l + 2820*l**2 - 1568*l**2.
-4*(l - 1)*(l + 9)*(5*l + 2)
Let z(q) = -2*q**3 + 30*q**2 + 7*q - 10. Let s be z(15). Suppose s = 1442*r - 1423*r. Factor -5/4 + 5/4*h + 5/2*h**2 + 5/4*h**r - 5/2*h**3 - 5/4*h**4.
5*(h - 1)**3*(h + 1)**2/4
Suppose -1998220/3*y**2 + 58802/3*y**3 + 2/3*y**5 + 3822392/3*y - 1882384/3 - 592/3*y**4 = 0. What is y?
1, 98
Suppose -1677*g**2 + 1691*g**2 - 55*g + 42 - g**3 - 4*g**3 + 4*g**3 = 0. What is g?
1, 6, 7
Find t such that 60/7*t + 3/7*t**2 + 225/7 = 0.
-15, -5
Let v(x) be the third derivative of -x**8/840 - 2*x**7/105 - x**6/50 + 16*x**5/15 + 35*x**4/12 - 50*x**3 + 296*x**2. Find m, given that v(m) = 0.
-5, 2, 3
Find h, given that 20*h**4 - 1661*h**3 - 150*h + 4903*h**3 - 1816*h**3 + 665*h**2 - 1691*h**3 = 0.
0, 1/4, 3, 10
Let u(l) = 5*l**3 - 87*l**2 + 428*l - 562. Let v(f) = 5*f**3 - 88*f**2 + 427*f - 563. Let o(i) = -3*u(i) + 2*v(i). What is j in o(j) = 0?
2, 7, 8
Let n(z) be the second derivative of 5/42*z**6 + 18/7*z**2 + 0 - 2*z**3 + 1/2*z**5 - 22*z - 11/84*z**4. Suppose n(t) = 0. What is t?
-2, 3/5
Let q(g) = -g**3 - 25*g**2 + 16*g - 260. Suppose -43*y = -36*y + 182. Let a be q(y). Factor a + 2/5*n**3 - 4/5*n**2 + 2/5*n.
2*n*(n - 1)**2/5
Let y be -15 - -85*(-18)/(-90). Solve -28/3*k**y - 12 - 4/3*k**3 - 20*k = 0 for k.
-3, -1
Let j = 415 - 411. Factor -12*z**3 + j*z**3 + 5*z**4 + 30*z + 8*z**3 - 28*z**2 - 7*z**2.
5*z*(z - 2)*(z - 1)*(z + 3)
What is u in 9/4*u**3 + 27*u - 27/2*u**2 - 1/8*u**4 + 0 = 0?
0, 6
Let s(v) be the first derivative of -v**3/7 - 2178*v**2/7 - 1581228*v/7 - 7269. Factor s(j).
-3*(j + 726)**2/7
Suppose 32/7 + 82/7*h**3 + 10/7*h**4 + 200/7*h + 216/7*h**2 = 0. What is h?
-4, -2, -1/5
Suppose 4*f = -20, 2*r - 7*f - 30 = -3*f. Solve 148*g**2 - 1552*g**2 - 864*g + 109*g**r - 136*g**5 - 192 - 279*g**4 - 984*g**3 = 0.
-4, -1, -2/3
Let z(t) = t - 5. Let i be z(18). Let u(q) = -q**3 + 13*q**2 + 4. Let y be u(i). Factor 0 - 2/13*a**3 - 2/13*a**y + 4/13*a**2 + 0*a.
-2*a**2*(a - 1)*(a + 2)/13
Let i be 8 - (5 - (9 - 3)). Factor i*j**2 + 7*j**3 - 9*j**3 + 8*j**3 - 3*j**4.
-3*j**2*(j - 3)*(j + 1)
Let x(f) = 17*f - 17. Let m be x(6). Factor m*c - 4 + c**3 - 91*c + c**3.
2*(c - 2)*(c + 1)**2
Suppose 3*h + 413 - 17 = 0. Let p be (-207)/23 + h/(-14). Determine k, given that 13/7*k**4 + p*k**5 + 3/7*k**2 - 4/7 - 8/7*k + 17/7*k**3 = 0.
-2, -1, 2/3
Let h be 38/12 - (19 - 2825/150). Let z be 0/(6 + -11 + 6). Factor 0 + 0*x**2 - 3/2*x**h + z*x + 0*x**4 + 3/2*x**5.
3*x**3*(x - 1)*(x + 1)/2
Let h(f) be the third derivative of -4/15*f**5 - 4/3*f**3 + 1/30*f**6 + 0 + 5/6*f**4 - 46*f**2 + 0*f. Factor h(u).
4*(u - 2)*(u - 1)**2
Let t(g) = -2*g**4 + g**3 - g**2 + 1. Let s(c) = -60*c**4 - 13 - 15*c - 110*c**3 - 98*c**2 + 10 + 4 - 17*c. Let k(u) = -s(u) + 5*t(u). Factor k(y).
(y + 1)*(2*y + 1)*(5*y + 2)**2
Let f(m) be the first derivative of -m**6/18 - 7*m**5/5 - 151*m**4/12 - 145*m**3/3 - 248*m**2/3 - 64*m + 666. Determine h, given that f(h) = 0.
-8, -3, -1
Let q = 1123 - 1120. Let u be q - (9 + -9)/(-4). Factor -2/11*d**u + 6/11*d + 0*d**2 + 4/11.
-2*(d - 2)*(d + 1)**2/11
Let s(g) be the first derivative of 5*g**6/24 + 23*g**5/4 - 65*g**4/2 + 45*g**3 - 572. Factor s(t).
5*t**2*(t - 2)