Suppose 23*s - 1/4*s**3 - 45 + 89/4*s**2 = 0. What is s?
-2, 1, 90
Let a(c) be the second derivative of 7*c**5/5 + 233*c**4/3 + 452*c**3/3 - 5250*c. Factor a(z).
4*z*(z + 1)*(7*z + 226)
Determine q, given that -3032 + 1295*q + 1948 + q**3 + 775*q**2 + 3140*q - 4131 + 4*q**3 = 0.
-149, -7, 1
Let w = -1818 + 1812. Let q be w - ((1 - 7) + -3). Factor 3/2*m**3 + 3/2*m**4 - 3/2*m + q - 9/2*m**2.
3*(m - 1)**2*(m + 1)*(m + 2)/2
Let t be -5 + (-1)/3 + -15 + 21. Let f(j) be the first derivative of -j**4 + 0*j - t*j**3 + 2*j**2 + 2/5*j**5 - 2. Factor f(q).
2*q*(q - 2)*(q - 1)*(q + 1)
Let j(q) be the second derivative of q + 3/38*q**4 + 1/57*q**6 + 36 - 2/57*q**3 + 0*q**2 - 6/95*q**5. Factor j(w).
2*w*(w - 1)**2*(5*w - 2)/19
Let s(r) be the second derivative of -4/21*r**3 + 1/42*r**4 + 3 - r + 0*r**2. Factor s(h).
2*h*(h - 4)/7
Let a be 1010/76 - (93 + 63756/(-684)). Determine d, given that -12 - 3/2*d**2 + a*d = 0.
1, 8
Factor 3/5*j**2 + 1101/5*j + 0.
3*j*(j + 367)/5
Let c(z) be the first derivative of 9/13*z**2 + 2/39*z**3 - 97 + 16/13*z. Factor c(f).
2*(f + 1)*(f + 8)/13
Let u(j) = -j**4 - 2*j**3 + 2*j**2 + j - 4. Let m(t) = -4*t**4 + 186*t**3 - 4934*t**2 + 19172*t + 24292. Let a(x) = 2*m(x) - 4*u(x). Factor a(q).
-4*(q - 45)**2*(q - 6)*(q + 1)
Let p(n) be the second derivative of 1/6*n**4 - 52*n**2 + 6*n + 3*n**3 - 4. Factor p(q).
2*(q - 4)*(q + 13)
Let 170*q**5 - 12 - 230409*q**3 + 709*q**2 + 229890*q**3 + 5*q**5 - 353*q**4 + 688*q = 0. Calculate q.
-1, 3/175, 2
Let j(l) be the third derivative of l**9/19656 - l**7/1365 + 115*l**3/6 + 2*l**2 + 24. Let n(u) be the first derivative of j(u). Factor n(t).
2*t**3*(t - 2)*(t + 2)/13
Let c = 21091 - 42181/2. Let n(l) be the first derivative of -8/3*l**3 + 0*l - 5*l**2 + c*l**4 + 17. Find u, given that n(u) = 0.
-1, 0, 5
Determine f, given that 64/13*f**2 - 120/13*f - 2/13*f**4 + 0 + 2/13*f**3 = 0.
-6, 0, 2, 5
Suppose -3*r + 35 = 5*t, 35 = -22*r + 21*t - 16*t. Let r - a**2 + 0*a - 13/4*a**3 - 11/4*a**4 - 1/2*a**5 = 0. What is a?
-4, -1, -1/2, 0
Let j(w) be the third derivative of 0*w + 0*w**4 + 0 - 1/30*w**5 - 228*w**2 + 1/420*w**7 + 0*w**6 + 0*w**3. Suppose j(x) = 0. Calculate x.
-2, 0, 2
Let r(d) be the third derivative of d**5/30 - 19*d**4/12 - 2589*d**2. Determine g so that r(g) = 0.
0, 19
Let b be (-9)/(-2)*8/12. Let f(q) = 2*q**2 + q - 14. Let k be f(3). Factor b*p**2 + p**2 - 2*p**5 - p**3 + k*p**3.
-2*p**2*(p - 2)*(p + 1)**2
Let q(x) = 731*x + 726*x - 1496*x + 117. Let t be q(3). Factor 6/11*n**2 - 2/11*n**3 - 8/11 + t*n.
-2*(n - 2)**2*(n + 1)/11
Let p(h) = 37*h**2 - 954*h + 10. Let y(l) = -7*l**2 - 2. Let n(s) = -p(s) - 5*y(s). Find t such that n(t) = 0.
0, 477
Let o(i) be the first derivative of i**6/40 + i**5/10 + i**4/8 - 67*i**2/2 - 109. Let j(c) be the second derivative of o(c). Find q, given that j(q) = 0.
-1, 0
Suppose -108*i = -190217 + 189785. Factor 0*n - 2/7*n**5 + 0*n**2 - 22/7*n**3 + 24/7*n**i + 0.
-2*n**3*(n - 11)*(n - 1)/7
Let c(z) = z**2 + z - 11. Let b be c(3). Let t be 2 + -5 + b + -1 + 5. Determine m, given that -5*m**4 - 1061*m**3 - 3*m**2 - 7*m**t + 1076*m**3 = 0.
0, 1, 2
Suppose 108/5 + 27/5*x**4 + 123*x**2 - 612/5*x - 222/5*x**3 = 0. What is x?
2/9, 2, 3
Factor -1/7*x**2 - 655/7 - 136/7*x.
-(x + 5)*(x + 131)/7
Let t(l) be the second derivative of -l**4/24 - 341*l**3/6 - 116281*l**2/4 + 681*l. Determine p so that t(p) = 0.
-341
Let q(b) = -35904*b + 107716. Let u be q(3). Factor 2/3*i**5 + 0*i**u + 0*i + 0*i**2 + 0 - 2/3*i**3.
2*i**3*(i - 1)*(i + 1)/3
Let o(r) = -12*r**2 - 344*r - 180. Let p(n) = 8*n**2 + 211*n + 120. Let w(j) = 5*o(j) + 8*p(j). Factor w(a).
4*(a - 5)*(a - 3)
Let h(o) be the third derivative of -1/210*o**5 + 0 - 1/7*o**3 + 6*o - 1/21*o**4 + 6*o**2. Factor h(s).
-2*(s + 1)*(s + 3)/7
Let z(b) = -47*b**4 + 161*b**3 - 104*b**2 - 333*b + 21. Let k(j) = 9*j**4 - 32*j**3 + 21*j**2 + 66*j - 4. Let h(t) = -21*k(t) - 4*z(t). Factor h(r).
-r*(r - 27)*(r - 2)*(r + 1)
Let l(o) be the first derivative of o**3/18 + 173*o**2/4 + 682. Solve l(x) = 0.
-519, 0
Let v = -9884 + 29656/3. Let z(c) be the first derivative of -4/5*c**5 + 0*c**2 - v*c**3 + 2*c**4 + 0*c - 21. Find b such that z(b) = 0.
0, 1
Let -24/7*m**2 + 2/7*m**3 - 26/7*m + 0 = 0. What is m?
-1, 0, 13
Let d(c) be the second derivative of 15*c**5 + 485*c**4/12 + 155*c**3/6 - 15*c**2 + 1632*c. What is q in d(q) = 0?
-1, -3/4, 2/15
Let z = -44929/3 + 15299. Factor 1/6*a**2 + z - 44/3*a.
(a - 44)**2/6
Let o(u) be the second derivative of -u**6/165 + 27*u**5/110 + 107*u**4/33 - 16*u**3 + 2*u + 356. Solve o(g) = 0.
-8, 0, 2, 33
Let o(d) be the first derivative of 3*d**5/5 + 5328*d**4 + 18925056*d**3 + 33610899456*d**2 + 29846478716928*d - 10347. Solve o(f) = 0.
-1776
Let t(z) = -2*z**3 - 15*z**2 - z - 1. Let x(b) = 22*b**3 + 106*b**2 - 351*b - 243. Let f(q) = 36*t(q) + 4*x(q). Determine v, given that f(v) = 0.
-6, -3/4, 14
Let x(g) = -50*g**2 - 16*g - 66. Let f(k) = -126*k**2 - 32*k - 132. Let v(d) = -4*f(d) + 10*x(d). Find c, given that v(c) = 0.
-3, 11
Let h = -2493 + 2499. Let k(z) be the first derivative of -30 + 27/2*z**2 - 1/2*z**h - 18/5*z**5 + 12*z + 2*z**3 - 6*z**4. Factor k(g).
-3*(g - 1)*(g + 1)**3*(g + 4)
Let m be 1/105 + 56/(-30) + 41 + -39. Let c(q) be the third derivative of 19/168*q**4 + 1/140*q**5 + 0 + m*q**3 + 26*q**2 + 0*q. Factor c(z).
(z + 6)*(3*z + 1)/7
Let c(r) be the second derivative of -r**4/54 + 19*r**3/27 - 20*r**2/3 - 7972*r. Let c(g) = 0. What is g?
4, 15
Let n be (2 - (0 + 2)) + 4. Let u(v) = 30*v + 454. Let l be u(-15). Factor -2*f**4 + 2*f**2 - l + 0*f**4 - 6*f + 6*f**3 + 4*f**n.
2*(f - 1)*(f + 1)**2*(f + 2)
What is y in 776/5*y - 4/5*y**2 - 1536/5 = 0?
2, 192
Suppose 5*c = o - 0*c + 22, -3*c = 4*o - 27. Suppose -5*b = -0*q - q - 17, -o*b = 5*q + 1. Find g such that 0 + 2/5*g**2 + 2/5*g**4 + 0*g + 4/5*g**b = 0.
-1, 0
Let w be 12*(927/54 - -3 - 20). Factor 3/4*d**w - 3 + 3/2*d**3 - 6*d.
3*(d - 2)*(d + 2)*(2*d + 1)/4
Let a be (-2170)/62 + (3 - 1). Let l be 85/30 - (5 - a/(-6)). Let 4/3*t**2 - 2/3*t**5 + 8/3*t**4 + 0*t - l*t**3 + 0 = 0. Calculate t.
0, 1, 2
Let k be ((-15)/9 - 0)/(25/(-30)). Factor 26 + 4*n**2 - 17*n - 3 + 13 - 25*n + k*n**3.
2*(n - 3)*(n - 1)*(n + 6)
Let i be ((-1)/(-4))/(7/84). Factor -11*y**2 - 14*y**2 - 3*y**2 + 4*y**i.
4*y**2*(y - 7)
Let j(g) be the third derivative of g**5/330 - 58*g**4/11 + 40368*g**3/11 - 115*g**2 + g. Factor j(q).
2*(q - 348)**2/11
Let z = 6594 + -6590. Let r(s) be the third derivative of 1/42*s**z + 1/420*s**6 + 0*s**3 + 13*s**2 - 1/70*s**5 + 0 + 0*s. Factor r(q).
2*q*(q - 2)*(q - 1)/7
Let y be -5 - (2 - 14) - 4/2. Suppose -2*r - 2*g + 18 = -32, 2*r + 3*g = 51. Find x, given that -10 + y*x + 10*x**2 - 24*x**2 - 5*x**3 + r*x**2 = 0.
-1, 1, 2
Let k(r) be the first derivative of -r**5/5 + r**4/6 + 7*r**2/2 - 6*r - 6. Let t(u) be the second derivative of k(u). Determine l so that t(l) = 0.
0, 1/3
Let o(n) be the third derivative of 5*n**8/336 - 5*n**7/42 - 5*n**6/4 + 10*n**5/3 + 40*n**4/3 + n**2 + 4*n - 143. Solve o(s) = 0.
-4, -1, 0, 2, 8
Let v(a) be the first derivative of a**5/10 + 11*a**4/8 + 4*a**3/3 - 5*a**2 - 982. Factor v(p).
p*(p - 1)*(p + 2)*(p + 10)/2
Let v(s) = -19*s**5 - 66*s**4 - 59*s**3 + 19*s**2 - 5*s - 5. Let h(p) = 9*p**5 + 33*p**4 + 30*p**3 - 10*p**2 + 2*p + 2. Let m(j) = 5*h(j) + 2*v(j). Factor m(y).
y**2*(y + 2)*(y + 3)*(7*y - 2)
Let t(x) = 4*x**3 + x**2 + 3*x + 1. Let n(i) = 614*i**3 + 630*i**2 - 8*i - 4. Let d(j) = -n(j) - 4*t(j). Solve d(p) = 0 for p.
-1, -2/315, 0
Let o(l) = -4*l**2 - 435*l + 17321. Let g(m) = -20*m - 146. Let t be g(-7). Let p(x) = x**2 + 146*x - 5774. Let s(i) = t*o(i) - 21*p(i). Solve s(v) = 0 for v.
76
Let i(n) be the second derivative of n**5/20 + 19*n**4/6 + 169*n**3/6 + 66*n**2 + 649*n. Factor i(d).
(d + 1)*(d + 4)*(d + 33)
Determine x so that -25*x + 36 + 0*x - 11*x**2 - 26*x - 28*x**2 + 0*x**2 - 6*x**3 = 0.
-4, -3, 1/2
Let q(n) = -n**4 + n**2 + 1. Let d be 4/22 + (-93)/(-33). Let h(v) = 3*v + 5*v**3 - 3 + 5*v**2 + 3*v**4 - 2 - d + 6. Let j(m) = h(m) + 2*q(m). Factor j(i).
i*(i + 1)**2*(i + 3)
Suppose 142/3 + 136/9*s - 2/9*s**2 = 0. Calculate s.
-3, 71
Let u(n) be the first derivative of -n**4/108 + 65*n**3/54 - 234*n - 220. Let z(v) be the first derivative of u(v). Factor z(x).
-x*(x - 65)/9
Let i(