
-2, 1
Let -16/5*y**3 + 16/5 - 4/5*y**4 - 12/5*y**2 + 16/5*y = 0. What is y?
-2, -1, 1
Let r(y) = -y**4 - 4*y**3 - y**2 - y + 1. Let q(z) = z**4 + z**2 - z + 1. Suppose -11*v + 10 = -v. Let n(m) = v*q(m) - r(m). Suppose n(h) = 0. Calculate h.
-1, 0
Let c be 4*7/42 + (-2)/4. Let o(u) be the third derivative of 0 + c*u**3 - 2*u**2 + 19/60*u**5 + 0*u - 1/3*u**4 - 1/10*u**6. Find z such that o(z) = 0.
1/4, 1/3, 1
Let v = 1046 - 125519/120. Let k(j) be the third derivative of 0*j + 0*j**3 + 1/48*j**4 + j**2 + 0 - 1/120*j**5 - v*j**6. Factor k(i).
-i*(i + 1)*(2*i - 1)/2
Let r be 290/(-29) - 332/(-30). Solve -324/5*h**2 - r - 486/5*h**3 - 72/5*h = 0 for h.
-2/9
Let q(c) be the third derivative of c**5/60 + 5*c**4/24 - 25*c**3/3 - 144*c**2. Let q(u) = 0. Calculate u.
-10, 5
Let h(v) be the third derivative of -v**5/330 + 17*v**4/132 - 20*v**3/11 - 12*v**2 - 1. Find j such that h(j) = 0.
5, 12
Let i(a) be the second derivative of -a**5/4 + 5*a**4/2 - 20*a**3/3 - 47*a. Solve i(c) = 0.
0, 2, 4
Let j(t) = 9*t**3 - 103*t**2 + 146*t + 43. Let y(i) = -5*i**3 + 52*i**2 - 72*i - 22. Let n(z) = -2*j(z) - 5*y(z). Factor n(c).
(c - 6)*(c - 2)*(7*c + 2)
Let u(l) = -l**3 + l**2 + l + 2. Let s(g) = -g**4 - 9*g**3 - 3*g**2 + g + 8. Let r(m) = -s(m) + 4*u(m). Let r(n) = 0. What is n?
-3, -1, 0
Let a(i) = -5*i**2 + 200*i - 636. Let s(q) = -22*q**2 + 1000*q - 3180. Let h(d) = -14*a(d) + 3*s(d). Find u such that h(u) = 0.
-53, 3
Let l(b) be the second derivative of -b**6/6 + b**5/4 + 5*b**4 + 10*b**3/3 - 40*b**2 - 90*b - 3. Suppose l(u) = 0. What is u?
-2, 1, 4
Let z(t) = 35*t**2 - 88*t + 16. Let u(l) be the third derivative of -17*l**5/60 + 11*l**4/6 - 4*l**3/3 - 3*l**2. Let k(n) = -5*u(n) - 3*z(n). Factor k(c).
-4*(c - 2)*(5*c - 1)
Let s(l) = 13*l + 159. Let w be s(-12). Let n(x) be the first derivative of -8 + 1/3*x**w - x + 0*x**2. Find o such that n(o) = 0.
-1, 1
Let c(o) = -8*o**3 - 60*o**2 + 132*o + 148. Let p(w) = -3*w**3 - 24*w**2 + 53*w + 59. Let b(a) = -5*c(a) + 12*p(a). Suppose b(k) = 0. Calculate k.
-4, -1, 2
Suppose -2*j = -3*y + 12, 2*j - 6*j + 4 = y. Let 16*k + 17*k**y - 8*k**3 + 16*k**2 - 44*k**4 + 7*k**4 + 4 - 8*k**5 = 0. What is k?
-1, -1/2, 1
Let c(y) be the first derivative of y**5/15 - y**4/4 - y**3 - 5*y**2/6 + 43. Factor c(r).
r*(r - 5)*(r + 1)**2/3
Let i be 15/6 + 15/10. Factor -8/9 + 4/3*b**3 - 26/9*b**2 - 2/9*b**i + 8/3*b.
-2*(b - 2)**2*(b - 1)**2/9
Let o(b) = b**3 - 24*b**2 + 55*b - 27. Let k = 15 - 22. Let r(f) = f**3 - 36*f**2 + 83*f - 41. Let n(a) = k*o(a) + 5*r(a). Factor n(i).
-2*(i - 1)**2*(i + 8)
Let f = 469/1195 - -9/1195. Factor -2/5*j**2 + 12/5 - f*j.
-2*(j - 2)*(j + 3)/5
Let w be -1 - (-13)/(-7) - -4. Let x(b) be the second derivative of -1/70*b**5 - 8*b + 0 + w*b**2 - 4/7*b**3 + 1/7*b**4. Factor x(t).
-2*(t - 2)**3/7
Let o(p) be the second derivative of p**4/18 - 25*p**3/18 - 13*p**2/6 + 73*p - 3. What is v in o(v) = 0?
-1/2, 13
Let c(v) = 10*v**2 + 9*v + 5. Let q(p) = -52*p**2 - 44*p - 24. Let k(f) = -16*c(f) - 3*q(f). Find o, given that k(o) = 0.
-2, -1
Let g(y) = 118*y + 708. Let d be g(-6). Factor d*z + 2/7*z**4 + 0*z**3 - 4/7*z**2 + 2/7.
2*(z - 1)**2*(z + 1)**2/7
Let f(l) = l**3 - 5*l**2 + 5*l + 5. Let w be f(3). Suppose 0 = -4*u + 3*v, w*u + 4*v - 37 + 15 = 0. Find q such that 1/2*q**2 + 0*q - 1/6*q**u + 0 = 0.
0, 3
Let b(t) be the second derivative of -t**6/20 - 9*t**5/20 - 3*t**4/8 + 5*t**3/2 - t + 16. Factor b(u).
-3*u*(u - 1)*(u + 2)*(u + 5)/2
Let a(j) be the first derivative of 0*j**3 - 25 + 0*j + 0*j**2 + 2/25*j**5 + 0*j**4. Suppose a(m) = 0. Calculate m.
0
Let s(q) be the third derivative of q**8/2800 + 3*q**7/700 + 3*q**6/200 - 2*q**3/3 - 13*q**2. Let i(m) be the first derivative of s(m). Factor i(b).
3*b**2*(b + 3)**2/5
Let f be (-16)/(-10)*(-2 + -58). Let q be f/30 - 2/(-10) - -5. Factor 4/3*b - 8/3*b**q + 0 + 5/3*b**3 - 1/3*b**4.
-b*(b - 2)**2*(b - 1)/3
Let i be 3/2*(-22)/(-3). Let s be i/((-22)/(-24)) + 1. Factor -s*t - 7 - 5*t**2 + t**2 - 19*t - 57.
-4*(t + 4)**2
Let p(r) = -9*r**2 + 45*r. Let q(y) = -13*y**2 + 67*y. Let h(z) = 7*p(z) - 5*q(z). Find i, given that h(i) = 0.
0, 10
Factor -75*z**2 - 60*z - 20 - 40*z**2 - 9169*z**3 + 9134*z**3 - 40*z.
-5*(z + 1)*(z + 2)*(7*z + 2)
Suppose l + v = 1, -l = 3*l + 2*v - 6. Solve -2 - x**l + 483*x - x**3 - 488*x - 3*x**2 = 0.
-2, -1
Let h be 30*(192/20)/6. Let o = h + -45. Factor -4/5 + 2/5*q - 2/5*q**o + 4/5*q**2.
-2*(q - 2)*(q - 1)*(q + 1)/5
Factor -18 - 66*n**2 + 22*n**2 - n**3 + 4 + 19*n + 16*n**2 + 24*n**2.
-(n - 2)*(n - 1)*(n + 7)
Let w(j) be the third derivative of j**7/525 - j**6/300 - 17*j**5/50 - 57*j**4/20 - 54*j**3/5 - 20*j**2 + 9*j. What is q in w(q) = 0?
-3, -2, 9
Let l(g) be the third derivative of g**8/2856 + g**7/595 - g**6/170 - g**5/51 + 7*g**4/68 - 3*g**3/17 - 4*g**2 + 2*g. Find n, given that l(n) = 0.
-3, 1
Let f(x) be the first derivative of -2*x**3/21 + 60*x**2/7 - 1800*x/7 + 155. Find u such that f(u) = 0.
30
Let g be 1/(-3)*45/(-25). Let t(p) be the second derivative of 3/10*p**6 + g*p**5 + 0 + 1/2*p**2 - 1/6*p**4 - 2/3*p**3 + 10*p. Solve t(a) = 0.
-1, 1/3
Factor -348/7 - 2/7*v**2 - 10*v.
-2*(v + 6)*(v + 29)/7
Suppose 83*q - 145 = 88*q. Let r = 31 + q. Factor 2/7*l**4 + 0*l**r - 4/7*l - 2/7 + 4/7*l**3.
2*(l - 1)*(l + 1)**3/7
Let z(n) be the third derivative of 1/18*n**4 - 1/360*n**6 + 1/180*n**5 + 0*n + 0 + 5*n**2 - 2/9*n**3. Factor z(y).
-(y - 2)*(y - 1)*(y + 2)/3
Let a(u) be the first derivative of -u**7/420 - u**6/40 - 13*u**5/120 - u**4/4 - u**3/3 - u**2 - 24. Let p(m) be the second derivative of a(m). Factor p(d).
-(d + 1)**2*(d + 2)**2/2
Suppose -12*a + 66 - 13 - 5 = 0. Determine c so that -6*c**3 + 0 + 7/2*c**a + 3/2*c**2 + c = 0.
-2/7, 0, 1
Suppose 5*d = -3*p + 14, -5*p = 5*d - 14 - 6. Let z(l) be the third derivative of 0 + 1/20*l**5 + 0*l**4 - 5*l**2 - 1/2*l**p + 0*l. Find j, given that z(j) = 0.
-1, 1
Suppose 2 = 2*q + d, -5*d = q - 6*q + 35. Factor -27/5*y**2 - 6/5 - q*y**3 - 3/5*y**4 - 21/5*y.
-3*(y + 1)**3*(y + 2)/5
Solve -10/11*v**4 + 2/11*v**5 + 10/11*v**2 - 8/11*v + 6/11*v**3 + 0 = 0.
-1, 0, 1, 4
Let m(h) be the second derivative of h**4/21 + 52*h**3/21 + 50*h**2/7 - 14*h. Find n such that m(n) = 0.
-25, -1
Suppose 9*c - 147 = 33. Suppose -4*x + 5*k + 16 = 0, 4*x + 5*k = -x + c. Let 0 + 0*g + 0*g**2 - 1/3*g**5 - 2/3*g**x - 1/3*g**3 = 0. What is g?
-1, 0
Let c(l) be the first derivative of l**6/12 + 2*l**5/5 + l**4/2 - 39. Factor c(d).
d**3*(d + 2)**2/2
Let y = -28 - -31. Suppose 0 = 5*w + y*f - 1578, -5*w + 1280 = -w - 2*f. Solve -w + 336 + 78*u + 21*u**2 - 9*u = 0 for u.
-3, -2/7
Let k(w) be the first derivative of 2*w**3/27 + 31*w**2/18 - 16*w/9 + 14. Solve k(z) = 0 for z.
-16, 1/2
Let s be -3 + 65/25*(-25)/(-15). Factor -1/3*j + 1/6*j**2 - s.
(j - 4)*(j + 2)/6
Let -17/2*z + 19/4*z**2 + 7/4*z**3 + 2 = 0. Calculate z.
-4, 2/7, 1
Let 9/5*u**2 + 16/5*u - 4/5 = 0. What is u?
-2, 2/9
Let r be 0*-2*(-2)/4. What is k in 4*k**4 + 15*k**3 - 3*k**5 - 9*k**2 - 7*k**4 + r*k**5 = 0?
-3, 0, 1
Let p = -607 - -610. Let m(z) be the second derivative of 0 - 1/80*z**5 - 1/16*z**4 - 5*z + 1/2*z**2 + 0*z**p. Factor m(x).
-(x - 1)*(x + 2)**2/4
Factor -24*n + n**3 - 9*n**2 + 55 - 32 - 2*n**3 + 0*n**3 - 43.
-(n + 2)**2*(n + 5)
Let s be (64/(-10))/(1190/(-75)) - 10/85. Factor 2/7*v**4 + 2/7*v - s*v**3 - 2/7*v**2 + 0.
2*v*(v - 1)**2*(v + 1)/7
Let d(q) = q**3 - q. Let v(l) = 48*l**2 - 3*l. Let i(x) = -3*d(x) + v(x). Let i(m) = 0. What is m?
0, 16
Let y = 1 + 3. Let w(t) = t**2 - 62*t - 3133. Let v be w(95). Find k such that 0 - 10/13*k**v - 4/13*k + 2/13*k**5 + 2/13*k**y - 6/13*k**3 = 0.
-1, 0, 2
Let j(y) be the first derivative of y**8/840 - y**7/140 + y**6/180 + y**5/20 - y**4/6 - 4*y**3/3 - 25. Let q(c) be the third derivative of j(c). Solve q(n) = 0.
-1, 1, 2
Factor -21*h**3 - h**3 - 9*h**3 - 5*h**4 - 15 - 50*h - 3*h**3 + 4*h**3 - 60*h**2.
-5*(h + 1)**3*(h + 3)
Factor -2/5 + 1/2*d - 1/10*d**2.
-(d - 4)*(d - 1)/10
Let r(t) = -t**2 + 3*t + 44. Let p be r(8). Let u(w) be the third derivative of 1/40*w**p - 1/15*w**3 + 6*w**2 - 1/300*w**5 + 0*w + 0. Solve u(i) = 0 for i.
1, 2
Let v = 13 + -15. Let n be 35/10 + v/(-4). Let -3*h**3 - n*h**2 + 4*h**2 + 3*h = 0. What is h?
-1, 0, 1
Suppose 11 - 20*m - 10 + 15*m**4 - 2 + 35*m**2 + 31*m**3 - 19 + 19*m**3 = 