2, -1, 2
Suppose -2*y - 10*y = 684. Let w be 6 - (-4 + (-450)/y - -2). Factor 0*s - w*s**5 + 2/19*s**3 + 2/19*s**2 + 0 - 2/19*s**4.
-2*s**2*(s - 1)*(s + 1)**2/19
Factor -121/5*i + 1/5*i**3 - 38/5*i**2 - 82/5.
(i - 41)*(i + 1)*(i + 2)/5
Let u(c) be the first derivative of -c**4/4 - c**3 + 2*c**2 + 12*c - 213. Find w, given that u(w) = 0.
-3, -2, 2
Solve 50/17*y**3 + 0*y + 0 + 28/17*y**4 + 2/17*y**5 + 24/17*y**2 = 0 for y.
-12, -1, 0
Let l(g) = -g**3 - g**2 - 3*g - 5. Let y be l(-2). Factor -y*z**2 + 6*z**3 + 61*z**2 + 112*z**2 - 106*z**3 - 32*z - 8*z**3.
-4*z*(3*z - 4)*(9*z - 2)
Let h(k) be the first derivative of 2*k**5/5 + 107*k**4 - 862*k**3/3 + 216*k**2 + 1054. Suppose h(g) = 0. Calculate g.
-216, 0, 1
Let z(f) be the second derivative of f**7/42 - f**6/30 - 27*f**5/20 - 9*f**4/4 + 9*f**3 + 190*f + 2. Solve z(x) = 0 for x.
-3, 0, 1, 6
Let c(v) be the third derivative of -v**6/72 + 7*v**5/120 - v**4/12 - 35*v**3/6 - 145*v**2. Let b(x) be the first derivative of c(x). Factor b(u).
-(u - 1)*(5*u - 2)
Let z be -9 + -8 + 9 - (2 - 0). Let k be 15*z/9*(-3)/8. Suppose -k*f**3 + 4*f - 1 - 11/4*f**4 + 9/4*f**5 + 15/4*f**2 = 0. What is f?
-1, 2/9, 1, 2
Suppose -n + 6*k + 134 - 128 = 0, -5*k - 5 = 0. Let a(i) be the second derivative of -35*i + 11/36*i**4 + n - 7/18*i**3 - i**2 + 1/30*i**5. Factor a(j).
(j - 1)*(j + 6)*(2*j + 1)/3
Let y(f) = f**3 - 3*f**2. Let d be y(3). Let z be (-47 + 32)*(-9 + (-156)/(-18)) + -2. Let 3/5*i**4 + 0*i + d*i**z - 6/5*i**2 + 3/5 = 0. Calculate i.
-1, 1
Let i(l) = l**5 + l**4 - 6*l**3 + 2*l**2 + l + 1. Let t(g) = -g**3 - 2056 + 2056 + g**2. Let h(y) = 3*i(y) - 12*t(y). Factor h(x).
3*(x - 1)**2*(x + 1)**3
Let -19*q**2 - 15/4*q**4 + 0*q - 18*q**3 + 1/4*q**5 + 0 = 0. Calculate q.
-2, 0, 19
Let w(h) = -19*h**4 - 167*h**3 + 586*h**2 - 711*h + 289. Let j(c) = -3*c**4 - 34*c**3 + 117*c**2 - 142*c + 58. Let o(r) = 11*j(r) - 2*w(r). Factor o(k).
5*(k - 3)*(k - 2)**2*(k - 1)
Let p(g) be the third derivative of g**10/75600 - g**9/30240 + 7*g**5/5 - 3*g**2 - 15*g. Let j(n) be the third derivative of p(n). Solve j(y) = 0.
0, 1
What is j in -804/5*j + 156/5*j**3 + 174/5*j**2 + 477/5 - 3/5*j**4 = 0?
-3, 1, 53
Let v(d) = -d + 1. Let l be v(-2). Let g be 4/((-132)/(-93)) + 8/44. Suppose 16 + 0*m**g - 6 + 15*m - 5*m**l = 0. What is m?
-1, 2
Suppose -4*t + 93 = s + 4*s, -4*t + 2*s = -114. Let m = -23 + t. Suppose -2 - 2*h**m - 1 + 1 + 4*h**2 = 0. What is h?
-1, 1
Factor 3/2*y + 5/2*y**3 + 0 - 1/2*y**4 - 7/2*y**2.
-y*(y - 3)*(y - 1)**2/2
Let d(l) be the first derivative of -296 + 13/5*l**3 - 4/5*l + 38/5*l**2. Factor d(f).
(f + 2)*(39*f - 2)/5
Let m be (-8)/(((-2)/(-7))/((-86)/3010)). Factor -m + 3/5*y + 1/5*y**2.
(y - 1)*(y + 4)/5
Let w(a) = -3*a**2 + 22*a - 53. Let y(h) = -h**2 + 1. Let v(r) = w(r) - 2*y(r). Let l be v(19). Let -1/4*z**l - 9 - 3*z = 0. What is z?
-6
Let w(k) be the third derivative of 2 - 9*k**2 + 11/56*k**4 + 0*k - 13/140*k**5 - 1/7*k**3 + 1/70*k**6. Suppose w(g) = 0. Calculate g.
1/4, 1, 2
Let m(o) = 7*o**2 - 9*o + 11. Let d be 0 + 10 + -7 + -23. Let z(w) = -48*w**2 + 64*w - 76. Let k(q) = d*m(q) - 3*z(q). Factor k(i).
4*(i - 2)*(i - 1)
Factor 2/3*w**2 + 24*w + 0.
2*w*(w + 36)/3
Let x be (((-51075)/(-10))/(-15))/((-6)/(-10)). Let y = 569 + x. Suppose y*b**2 + 3*b + 0 = 0. What is b?
-2, 0
Let a(l) = -l**2 + 5*l + 11. Let b be (-3)/(-9)*(14 - 2). Let n(w) = w**2 - 6*w - 11. Let x(q) = b*a(q) + 5*n(q). Solve x(z) = 0.
-1, 11
Suppose 7*b - 13 = 29. Let f be ((-4)/b)/(((-120)/9)/4). Solve 0 - f*u**2 - 2/5*u = 0.
-2, 0
Let r(g) be the third derivative of g**5/15 - 84*g**4 - 2024*g**3/3 - 13421*g**2. Find s such that r(s) = 0.
-2, 506
Suppose 4*u = 39 - 31. Factor -2*v + 2*v + 1620*v**2 - 1625*v**u + 20.
-5*(v - 2)*(v + 2)
Factor 62*q**2 + 704 - 193*q + 5*q**3 - 3*q**3 - 1103 - q**3 + 529.
(q - 2)*(q - 1)*(q + 65)
Factor 528 + 110*f**2 + 778*f + 248 - 213*f**2 + 105*f**2.
2*(f + 1)*(f + 388)
Suppose 45*n + 9*n = 216. Solve 3*t**n + 9 + 754*t - 760*t - 12*t**2 - 4*t**3 + 10*t**3 = 0.
-3, -1, 1
Solve 0 + 46/5*q + 2/5*q**2 = 0.
-23, 0
Suppose 0 = -2*w - 79 + 85. Let a = 5 - 3. What is l in -l**3 - 8*l**a + w*l**3 + 4*l**3 - 4*l**3 = 0?
0, 4
Solve -55 - 430002*w**4 + 430000*w**4 + 38*w**3 - 5 + 154*w - 130*w**2 = 0.
1, 2, 15
Let h(x) = -x**3 - 2*x**2 + 8*x + 3. Let o be h(-4). Suppose -26*d**2 - 5*d**5 - 16*d**2 - 80*d + 47*d**o + 17*d**2 + 5*d**4 + 60 - 2*d**3 = 0. What is d?
-2, 1, 3
Let u(f) be the second derivative of -2/5*f**4 - 1/25*f**5 - 22/15*f**3 - 173 - 2*f - 12/5*f**2. Factor u(r).
-4*(r + 1)*(r + 2)*(r + 3)/5
Let r(w) be the second derivative of w**5/5 - 38*w**4/3 + 48*w**3 - 3038*w. Factor r(u).
4*u*(u - 36)*(u - 2)
Let q(w) be the second derivative of 1/18*w**4 - 2/3*w**2 + 0 - 56*w + 1/9*w**3. Factor q(k).
2*(k - 1)*(k + 2)/3
Let t(b) = 6*b**3 - 1668*b**2 - 3304*b - 1655. Let p(k) = -16*k**3 + 5004*k**2 + 9916*k + 4966. Let j(r) = -5*p(r) - 14*t(r). Suppose j(w) = 0. Calculate w.
-415, -1
Let z be -3 + 3 - -9 - (-4488)/(-544). Let 25/4*t**4 - t**5 + z - 11/2*t - 27/2*t**3 + 13*t**2 = 0. What is t?
1/4, 1, 3
Let u(v) be the first derivative of 5*v**3/18 - 675*v**2/2 + 273375*v/2 + 1225. Factor u(q).
5*(q - 405)**2/6
Suppose -i - 12 = -n, -3*n + 21*i + 24 = 24*i. Let b(r) be the first derivative of -2*r + n - 2*r**3 + 1/2*r**4 + 3*r**2. Solve b(x) = 0 for x.
1
Factor 5 + 164*f**2 + 2 - 2*f - 329*f**2 + 160*f**2.
-(f - 1)*(5*f + 7)
Let a(r) = -2*r**2 - 24*r + 2. Let f be a(-12). Solve 2*d**2 + 22*d + 2*d - 2*d - 22 - f*d = 0 for d.
-11, 1
Let p = 533 - 526. Let r(s) be the third derivative of 1/72*s**4 - 1/630*s**p - 1/360*s**6 + 0 + 3*s**2 + 0*s + 0*s**3 + 1/180*s**5. Factor r(a).
-a*(a - 1)*(a + 1)**2/3
Suppose -37 = -4*o + 4*t + 19, 42 = 3*o - 5*t. Suppose -4*d + 2*r = -8, -4*r = -3*d + 5*d - o. Factor 3/4*w**4 - 3/4*w**d + 3/4*w - 3/4*w**2 + 0.
3*w*(w - 1)**2*(w + 1)/4
Let u(g) be the second derivative of -g**7/70 + 3*g**6/40 + g**5/4 - 3*g**4/8 + 43*g**3/6 + 2*g - 19. Let m(d) be the second derivative of u(d). Factor m(k).
-3*(k - 3)*(k + 1)*(4*k - 1)
Let o = -446024/3 + 148675. Find a such that -25 - 13/3*a**2 - 55/3*a - o*a**3 = 0.
-5, -3
Let m = 404/1743 + 2501/1743. Factor -70/3*z - m*z**4 + 25/3 + 20*z**2 - 10/3*z**3.
-5*(z - 1)**3*(z + 5)/3
Let g(p) be the first derivative of p**4/3 - 8*p**3 + 120*p - 16. Let j(w) be the first derivative of g(w). Factor j(t).
4*t*(t - 12)
Let h be -5 + ((0 - 1)*-129 - 3). Let t = -116 + h. Find m such that 0*m**2 + 0*m + 4/7*m**4 + 0*m**3 + 0 + 4/7*m**t = 0.
-1, 0
Suppose -6/7*r**2 - 4/7*r**3 + 72/7*r - 88/7 = 0. What is r?
-11/2, 2
Suppose 9*s**2 + 1/10*s**3 + 966/5*s - 2116/5 = 0. What is s?
-46, 2
Let n = 0 - 3. Let k(l) = -l**3 - 3*l**2 - l - 1. Let p be k(n). Factor 22 + 30*y + 2*y**3 - 18*y**2 + p + 0 + 26.
2*(y - 5)**2*(y + 1)
Let t(i) be the first derivative of 4*i**3/21 - 365*i**2/2 - 639*i/7 + 6373. Factor t(z).
(z - 639)*(4*z + 1)/7
Factor 1/5*w**4 - 4/5*w**3 + 0 - 1/5*w**2 + 4/5*w.
w*(w - 4)*(w - 1)*(w + 1)/5
Let q(x) = -6*x**5 - x**4 - 29*x**3 + 5*x**2 + 69*x - 31. Let i(k) = -5*k**5 - k**4 - 27*k**3 + 5*k**2 + 64*k - 30. Let g(d) = -7*i(d) + 6*q(d). Solve g(r) = 0.
-3, -2, 1, 4
Let x = -60 + 81. Suppose -17*o + x*o = 12. Factor -12/5*b**2 - 3/5 - 2*b - 6/5*b**o - 1/5*b**4.
-(b + 1)**3*(b + 3)/5
Let l be (-17)/(-5) + (-204)/(-340). Factor 2/7*o**l - 2/7*o**2 + 2/7*o**3 + 0*o - 2/7*o**5 + 0.
-2*o**2*(o - 1)**2*(o + 1)/7
Let z be (-6)/(-10) + 63/45. Suppose z*i = -6*i + 168. Factor 5*n**2 - i + 15*n + 34 - 13.
5*n*(n + 3)
Let s be (24 + -24)*2*(-1)/(-10). Factor -39 - 36*v**2 + 3*v**4 + 69*v + 3 - 9*v**3 + 9*v**2 + s.
3*(v - 4)*(v - 1)**2*(v + 3)
Let k be (-18)/(2430/351)*5/3 - -6. Suppose 20*c**2 - 120*c + 50/3*c**3 + k*c**4 + 0 = 0. What is c?
-6, 0, 2
Let x(z) be the second derivative of -z**7/42 - z**6/10 + z**5/2 + 13*z**4/3 + 12*z**3 + 16*z**2 - 2100*z. Determine c, given that x(c) = 0.
-2, -1, 4
Let a = -1881/59 - -5938/177. Find l such that 25/6*l - a*l**2 - 5/3 = 0.
1/2, 2
Let i be (-6*3/(-243))/(9/(90/20)). Let a(c) be the second derivative of 15*c + 0 + 0*c**2 + 1/9*c**3 - 1/90*c**5 + i*c**4. Factor a(x).
-2*x*(x - 3)*(x + 1)/9
Let x(d) be the second derivative of d**9/8064 - d**8/1120 + d**7/448 - d**6/480 + 43*d**3/6 + 163*d. Let o(v) be the se