1/2*k**4 + 0*k**2 + 0.
k**4*(k - 1)/2
Let d(o) be the second derivative of -o**4 + 33*o**3/2 - 12*o**2 - 10*o. What is h in d(h) = 0?
1/4, 8
Let s = -280 + 520. Let l = s + -240. Let -2/3*o - 2/3*o**2 + l = 0. Calculate o.
-1, 0
Let z(f) be the first derivative of 6*f - 3/4*f**4 + 3/2*f**2 - 2*f**3 + 8. Let z(k) = 0. Calculate k.
-2, -1, 1
Let n be 10/3*162/135. Factor 0 + 0*d + 0*d**3 + 4/9*d**2 - 1/3*d**n - 1/9*d**5.
-d**2*(d - 1)*(d + 2)**2/9
Let b = 0 + 2. Let x be 64/24*18/b. Suppose -x*z**2 + 2*z**3 + 4*z + 0*z + 18*z**2 = 0. What is z?
0, 1, 2
Suppose 4/5*w**5 - 32/5*w**2 + 8/5*w**4 - 8/5 - 8/5*w**3 - 28/5*w = 0. What is w?
-1, 2
Let p(s) = -s**3 + 12*s**2 - 11*s + 5. Suppose -20 = -z - 9. Let y be p(z). Factor -4*m**5 + 0*m**3 - 3*m**y - 2*m**4 + m**3 + 8*m**5.
m**3*(m - 1)**2
Let i(b) be the second derivative of b**7/14 - 7*b**6/10 - 3*b**5/10 + 7*b**4/2 + b**3/2 - 21*b**2/2 + 559*b. Solve i(n) = 0.
-1, 1, 7
Let y(h) be the second derivative of -h**6/180 - h**5/30 + 2*h**4/3 + 17*h**3/2 + 27*h. Let p(t) be the second derivative of y(t). Factor p(u).
-2*(u - 2)*(u + 4)
Let p(h) be the first derivative of 3*h**5/5 - 15*h**4/4 + 9*h**3 - 21*h**2/2 + 6*h + 71. Solve p(j) = 0.
1, 2
Suppose -32*o**2 - 2*o**5 + 0*o**5 - 75*o - o + 27*o + 9*o + 18*o**3 + 8*o**4 = 0. Calculate o.
-2, -1, 0, 2, 5
Let i = 522 - 36539/70. Let t(h) be the third derivative of 0*h**5 - i*h**7 + 1/2*h**3 - 2*h**2 - 1/4*h**4 + 1/20*h**6 + 0 + 0*h. Factor t(y).
-3*(y - 1)**3*(y + 1)
Suppose 5 = 2*m - 1. Suppose -5*l - 3*c = 2*c + 15, 0 = 4*l + c - m. Determine p so that -15*p + 98*p + 21*p + 338*p**l + 8 = 0.
-2/13
Let l be 36/15*((-246)/(-54) + -4). Let f(b) be the second derivative of l*b**2 + 1/30*b**5 - 3*b + 8/9*b**3 + 5/18*b**4 + 0. Find o such that f(o) = 0.
-2, -1
Let k(m) be the second derivative of 0 + 0*m**3 - 50*m + 0*m**5 + 1/63*m**7 + 0*m**2 - 1/45*m**6 + 0*m**4. Factor k(x).
2*x**4*(x - 1)/3
Let f = 608 + -608. Let t(z) be the second derivative of 0*z**2 - 5*z + 0*z**3 + 1/36*z**4 - 1/90*z**6 + f - 1/63*z**7 + 1/30*z**5. Let t(m) = 0. What is m?
-1, -1/2, 0, 1
Let o = -1149 - -1149. Suppose 0*z**2 + 0*z + o - 5/6*z**4 - 5/6*z**3 = 0. Calculate z.
-1, 0
Let o be (-4)/10 + (-16)/60*6. Let r be (-1)/(1/(4/o)). Solve 0 + 0*b**r + 1/3*b**3 - 1/3*b = 0.
-1, 0, 1
Let l(p) be the third derivative of -p**5/120 - 5*p**4/48 - p**3/2 + 49*p**2. Factor l(t).
-(t + 2)*(t + 3)/2
Let n(b) be the second derivative of 0*b**2 + 1/13*b**3 + 19*b + 0 + 1/39*b**4 - 1/130*b**5. Factor n(j).
-2*j*(j - 3)*(j + 1)/13
Let r = 9 - 7. Let b be (r/(-4))/((-3)/30). Let o(k) = -9*k**2 + 9*k + 6. Let l(f) = 8*f**2 - 8*f - 5. Let y(z) = b*o(z) + 6*l(z). Factor y(i).
3*i*(i - 1)
Let -2/3*v**4 - 32/3*v**3 - 28/3*v - 58/3*v**2 + 0 = 0. Calculate v.
-14, -1, 0
Let z = 559/1140 + -9/19. Let d(w) be the third derivative of z*w**5 + 6*w**2 + 0 - 1/12*w**3 + 7/96*w**4 + 0*w. Factor d(k).
(k + 2)*(4*k - 1)/4
Let o(p) = 9*p**5 - 11*p**4 - 139*p**3 - 381*p**2 - 366*p - 120. Let v(f) = f**5 - 4*f**4 - f**3 + f**2 + f. Let m(x) = -o(x) + 4*v(x). Let m(n) = 0. What is n?
-4, -1, 6
Let z(m) = m**2 + 3*m - 4. Let q be z(-4). Suppose q = -3*t - a + 13, -3*t - 3*a - 2*a = -17. Factor -4*v + 5*v**3 - 5*v**5 - 3*v**3 + t*v**5 + 3*v.
-v*(v - 1)**2*(v + 1)**2
Let j(x) = 5*x**2 + 27*x + 6. Let h be j(-6). Factor 38*m**2 - 25*m + h - 8*m**3 - 30*m - m.
-2*(m - 2)**2*(4*m - 3)
Let m be (-72)/56 + 330/126. Determine c so that 0*c**3 + 0*c + 2/3 - m*c**2 + 2/3*c**4 = 0.
-1, 1
Let a be ((96/525)/8)/(20/(-352)). Let c = -2/875 - a. Solve 4*s - 10 - c*s**2 = 0 for s.
5
Let h(o) = -159*o - 1. Let a be h(1). Let r = a + 162. Factor 9/5 - 12/5*c + 3/5*c**r.
3*(c - 3)*(c - 1)/5
Let u(g) be the first derivative of -g**6/16 - 17*g**5/20 - 29*g**4/8 - 55*g**3/12 - 25*g**2/16 + 74. Solve u(h) = 0 for h.
-5, -1, -1/3, 0
Let k(z) be the third derivative of 0 + 0*z + 1/33*z**3 - 1/66*z**4 + 1/330*z**5 + 14*z**2. Factor k(a).
2*(a - 1)**2/11
Suppose -191*c + 20*c**3 + 84*c**2 + 124*c + 4*c**4 + 28*c**3 + 107*c = 0. What is c?
-10, -1, 0
Determine i, given that -5*i**3 - 80*i + 306*i**2 - 208*i + 198*i**2 - 4*i**3 - 66*i**2 = 0.
0, 2/3, 48
Let p(d) be the second derivative of -d**6/80 + 3*d**5/40 + 3*d**4/32 - 7*d**3/8 + 3*d**2/2 - 7*d. Suppose p(j) = 0. Calculate j.
-2, 1, 4
Let w(c) be the third derivative of -c**7/735 - c**6/140 - c**5/70 - c**4/84 - 5*c**2 - 1. Let w(p) = 0. Calculate p.
-1, 0
Let w be -4 + 3 - (-10 - 2). Let o(p) = p**3 - 13*p**2 + 23*p - 8. Let n be o(w). Factor -9/2*s + n - 3*s**2.
-3*(s + 2)*(2*s - 1)/2
Let g = -109/205 - -30/41. Let n(h) be the second derivative of -4/3*h**4 - 10/3*h**3 + 0 + 3*h - 4*h**2 - g*h**5. Factor n(k).
-4*(k + 1)**2*(k + 2)
Factor -9*v**3 + v**3 + 2*v**2 + 4*v**2 + 0*v**3 + 2*v**4.
2*v**2*(v - 3)*(v - 1)
Let k(t) be the third derivative of 30*t**2 + 0 - 4/15*t**3 - 1/75*t**5 + 0*t + 1/10*t**4. Factor k(l).
-4*(l - 2)*(l - 1)/5
Let u(c) be the third derivative of c**5/240 + 73*c**4/48 + 5329*c**3/24 - 104*c**2. Factor u(p).
(p + 73)**2/4
Let i = 213 + -212. Let d(a) = -5*a**3 - 50*a**2 - 25*a + 20. Let z(r) = 1 + 3*r**2 - 5*r**2 + r**2. Let s(c) = i*d(c) - 30*z(c). Factor s(j).
-5*(j + 1)**2*(j + 2)
Let j(y) = y**5 - y**2 + 3. Let m(i) be the first derivative of -i**6/6 + i**4/4 - 2*i + 14. Let d(u) = 4*j(u) + 6*m(u). Find c such that d(c) = 0.
-2, 0, 1
Let i(r) = r + 13. Let c be i(-10). Factor 3*y**5 + y**3 - 10*y**c - 15*y**2 + 2*y + 0*y + 3*y**4 - 8*y.
3*y*(y - 2)*(y + 1)**3
Let l(d) be the second derivative of -d**4/3 - 8*d**3/3 - 6*d**2 + 220*d. Determine x, given that l(x) = 0.
-3, -1
Let h(u) = -u**3 + 19*u**2 - 65*u - 77. Let i(f) = -f**2 + f - 2. Let g(s) = -3*h(s) - 6*i(s). Factor g(a).
3*(a - 9)**2*(a + 1)
Let r(o) = o**4 - 5*o**3 + 6*o**2 + 4*o - 8. Let h(u) = 2*u**4 - 10*u**3 + 13*u**2 + 7*u - 18. Let i(j) = -4*h(j) + 9*r(j). What is t in i(t) = 0?
-1, 0, 2, 4
Let l be (-57)/(-11) + ((-96)/44 - -2). Suppose l*c + y = 6*c, -4*y + 18 = 5*c. Factor -1/2*n**c - 2 + 2*n.
-(n - 2)**2/2
Let f(i) be the second derivative of i**5/390 - i**4/78 - i**3/13 - 7*i**2/2 - 10*i. Let x(r) be the first derivative of f(r). Factor x(h).
2*(h - 3)*(h + 1)/13
Let r be ((-15)/3)/(7 - 136/17). Suppose -1/5*g**r - 1/5*g**2 + 1/5*g**4 + 0 + 1/5*g**3 + 0*g = 0. What is g?
-1, 0, 1
Let l(c) = 5*c**4 - 26*c**3 + 62*c**2 - 38*c + 2. Let y(d) = -2*d**3 - d**2 - d - 1. Let i(n) = -l(n) - 2*y(n). Suppose i(j) = 0. Calculate j.
0, 2
Let s(p) = 4*p**2 + 24*p + 68. Let q(m) = 4*m**2 + 22*m + 69. Let z(t) = -4*q(t) + 5*s(t). Let z(w) = 0. What is w?
-4
Let u = 1222 - 6107/5. Let g(l) be the first derivative of 0*l - u*l**2 - 7 + 7/5*l**3. Determine v, given that g(v) = 0.
0, 2/7
Factor -20*o**2 + 88/7*o**3 - 24/7*o**4 + 2/7*o**5 - 4 + 102/7*o.
2*(o - 7)*(o - 2)*(o - 1)**3/7
Let t(m) be the second derivative of -11*m**4/12 - 2*m**3 - 19*m**2/2 - 14*m. Let u(a) = 5*a**2 + 6*a + 9. Let z(j) = -4*t(j) - 9*u(j). Factor z(h).
-(h + 1)*(h + 5)
Let o be 15/8*((-1520)/275 + 6). Let l = o + 15/11. Find i such that 0 + 3/2*i - 3/4*i**3 - 9/4*i**4 - 3/4*i**5 + l*i**2 = 0.
-2, -1, 0, 1
Let z(j) be the third derivative of j**9/7560 + j**8/1680 + j**7/1260 + 7*j**4/12 - 6*j**2. Let c(k) be the second derivative of z(k). Factor c(q).
2*q**2*(q + 1)**2
Suppose -k = h + 3*k + 8, 0 = h + k - 4. Let q(j) = -3*j + 71. Let m be q(23). Factor -13*o**m - 4 + 12*o + 0*o**2 + h*o**2.
-(o - 2)*(5*o - 2)
Suppose -2*c = -3 + 13. Let j = 7 + c. Factor -2*v**3 + 4*v**j + v - 3*v**4 + 4*v**2 - 5*v**2 + v**3.
-v*(v - 1)*(v + 1)*(3*v + 1)
Factor -2/7*f**2 - 52/7*f + 16.
-2*(f - 2)*(f + 28)/7
Let p = 82/9 - 58/9. Let d = 118 - 353/3. Let 2/3*c**2 - 6*c**4 + 0 - p*c**3 - 3*c**5 + d*c = 0. Calculate c.
-1, -1/3, 0, 1/3
Factor 2/9*b**2 + 1250/9 - 100/9*b.
2*(b - 25)**2/9
Suppose -31 = q - 34. Factor 6 + 24*y**2 - 9*y**2 - 11 - 5*y**q - 15.
-5*(y - 2)**2*(y + 1)
Suppose -4*f = -4*w, 5*f - 10 = 3*f - 3*w. Suppose -5*q + 10 - 25*q**3 - 43*q**f + 0 + 3*q**2 = 0. Calculate q.
-1, 2/5
Let o = -5203 - -20813/4. Factor -1/4 - 3/4*g - o*g**3 - 3/4*g**2.
-(g + 1)**3/4
Let 18*a**3 + 183/2*a**2 - 15/4*a**5 - 345/4*a - 33*a**4 + 27/2 = 0. What is a?
-9, -2, 1/5, 1
Suppose 48050*r - 778*r**2 - 115478 + 2*r**4 + 6172*r**2 + 182*r**3 - 3686 = 0. What