, -2*f - 2*d = -28. What is c in -3/4*c**2 - 3/4*c + f = 0?
-4, 3
Suppose 4*v + 4 = 36. Factor 0*b**4 - 24*b**2 + 13*b**3 + 2*b - 50*b + v*b**3 - 3*b**4.
-3*b*(b - 4)**2*(b + 1)
Let u(v) = -5*v - 3. Let i be u(-1). Let 6*s**3 + 3*s**3 - 3*s**3 + 12*s**i - 6*s**4 + 0*s**2 - 24*s + 3*s**4 = 0. What is s?
-2, 0, 2
Suppose 48*h - 264 = 37*h. Suppose 96*r = 108*r - h. Suppose -1/2*w**r + 1 - 1/2*w = 0. What is w?
-2, 1
Suppose -3*i - 42 = -17*i. Solve -15*l + 3 + 131*l**3 + 5*l**2 + 2 - 116*l**i - 10*l**4 = 0.
-1, 1/2, 1
Let i = -198 - -292. Factor 32*r + 204*r**4 + 6*r**2 + 40 - 202*r**4 - i*r + 14*r**3.
2*(r - 1)**2*(r + 4)*(r + 5)
Factor 13*x**2 - 379 - 611 - 9*x**2 - 248*x - 132 + 342.
4*(x - 65)*(x + 3)
Suppose 0 = -278*v + 283*v - 45. Let q be 4/48*3*6/v. What is f in 0 - q*f**2 - 1/6*f = 0?
-1, 0
Let l = 11 - -1. Let v be (1 - (-20)/l)*3. Factor -4*t + v + t + t**2 - 6.
(t - 2)*(t - 1)
Let p be 3825/1700 - (-18)/(-8). Let d(y) be the third derivative of 0 + 1/270*y**5 + 4/27*y**3 + 5/108*y**4 - 17*y**2 + p*y. Let d(h) = 0. What is h?
-4, -1
Suppose 164*r + 943 + 462 = 1897. Factor 8/15*n + 26/15*n**r - 4/5*n**4 + 2/15*n**5 + 0 - 8/5*n**2.
2*n*(n - 2)**2*(n - 1)**2/15
Let b(n) be the second derivative of 0*n**2 + n**3 - 15*n + 1/20*n**5 - 7/12*n**4 + 1. Factor b(f).
f*(f - 6)*(f - 1)
Let o(q) be the third derivative of -q**5/4 - 31*q**4/24 - 19*q**3/3 - 2*q**2 + 58. Let a(s) = -12*s**2 - 30*s - 39. Let j(i) = 4*a(i) - 3*o(i). Factor j(w).
-3*(w + 2)*(w + 7)
Determine x so that -471 + 311 + 18*x**3 - 498*x**2 + 249*x**3 + 147*x + 232 + 12*x**4 = 0.
-24, -1/4, 1
Suppose 0 = -3*b - 6*x + 8*x + 8, -2*b = 4*x. Solve -4044 + 8084 + v**b - 4040 = 0.
0
Let a(g) be the second derivative of 2/9*g**4 + 0 + 1/15*g**6 + 0*g**3 - 1/126*g**7 + 0*g**2 - 1/5*g**5 - 58*g. Let a(o) = 0. Calculate o.
0, 2
Let k(h) be the first derivative of -h**6/3 + 682*h**5/35 - 655*h**4/2 + 20830*h**3/21 - 4048*h**2/7 - 4232*h/7 + 4903. Let k(c) = 0. Calculate c.
-2/7, 1, 2, 23
Suppose 2*c - 4*x = 32, -7*c = -3*c + 5*x - 38. Let q be 8/c*(5 - 2). Factor -7*r + 6*r - q*r**2 - 1 + 2.
-(r + 1)*(2*r - 1)
Let b(s) = -s**2 + 80*s. Let d(k) = 4*k**2 + 45*k. Let j(i) = -5*i**2 - 46*i. Let t(l) = -6*d(l) - 5*j(l). Let o(x) = -3*b(x) - 7*t(x). Factor o(f).
-4*f*(f - 10)
Let y be (-164)/(-12) - (0 - -13 - (-315 - -315)). Factor y + 23/3*u - 25/3*u**2.
-(u - 1)*(25*u + 2)/3
Let o = 455953/60 - 7599. Let p(r) be the third derivative of o*r**5 - 1/2*r**6 + 6/35*r**7 + 0*r + 3*r**2 + 5/12*r**4 + 1/6*r**3 + 0. Factor p(f).
(f - 1)**2*(6*f + 1)**2
Let i be 3*(-12)/(-270) + 321/(-45) - -11. Let h(d) be the first derivative of 17/5*d**3 - 26 - 24/5*d**2 + 12/5*d - 3/4*d**i. Factor h(p).
-3*(p - 2)*(p - 1)*(5*p - 2)/5
Let o = 192318 - 3654030/19. Let 2/19*p**5 + 20/19 - 68/19*p**3 - 78/19*p + 112/19*p**2 + o*p**4 = 0. Calculate p.
-10, 1
Determine l, given that 1696/7*l**2 + 10/7*l**3 + 2680/7*l - 192 = 0.
-168, -2, 2/5
Let k = -611 + 625. Let t be -2*(8 - 119/k). Find q such that -t + 7*q + 5*q**3 - 53/4*q**2 = 0.
1/4, 2/5, 2
Let a(z) be the first derivative of -5/34*z**4 - 24/85*z**5 + 0*z - 14 + 8/17*z**3 + 9/17*z**2 - 4/51*z**6. Determine s, given that a(s) = 0.
-3/2, -1, 0, 1
Let c(i) be the first derivative of i**6/30 - 38*i**5/25 + 85*i**4/4 - 1156*i**3/15 - 316. Factor c(l).
l**2*(l - 17)**2*(l - 4)/5
Let j(y) be the second derivative of y**8/40320 - y**7/7560 - y**6/288 - 4*y**4 - y**3/6 - 110*y. Let i(m) be the third derivative of j(m). Factor i(b).
b*(b - 5)*(b + 3)/6
Let m be 3 + -5 - 408/(-4). Suppose -14*x**2 + 4*x**2 + 5*x**2 - m + 40*x + x**2 = 0. What is x?
5
Let n(j) = 2*j**3 + 10*j**2 + j - 1. Let r be n(-5). Let s be 2 + (5 - (-41)/r). Factor -1/6*o**2 - 1/6*o + 1/6*o**3 + s.
(o - 1)**2*(o + 1)/6
Suppose -240 - 42 = -133*n - 8*n. Solve 0 - 4/15*v**3 - 22/15*v**n + 4/15*v + 22/15*v**4 = 0.
-1, 0, 2/11, 1
Suppose 248 = 15*u + 66*u + 5. Let p(r) be the second derivative of -1/3*r**u + 0*r**4 - 7*r + 0 + 1/30*r**5 - 2/3*r**2. Factor p(w).
2*(w - 2)*(w + 1)**2/3
Let y = 65 + -63. Let p be (-2)/(-2) - -1*y. Find m, given that 14*m**3 - 7*m**3 + 15*m - 8*m**3 - 9*m**2 - 6 + 3*m**4 - 2*m**p = 0.
-2, 1
Factor 2 - 183*a + 4 - 2*a**2 + a**2 + 188*a.
-(a - 6)*(a + 1)
Factor -6*k - 432*k**3 + 201*k**4 + 261*k**2 - 383*k + 359*k.
3*k*(k - 1)**2*(67*k - 10)
Let o(q) be the second derivative of -q**6/30 - 13*q**5/15 - 23*q**4/6 - 22*q**3/3 - 63*q**2/2 + 82*q. Let j(n) be the first derivative of o(n). Factor j(i).
-4*(i + 1)**2*(i + 11)
Determine c so that -48*c**3 - 6300*c - 1285*c**2 - 10125/2 - 1/2*c**4 = 0.
-45, -5, -1
Let s(m) = 4*m**4 - 2*m**3 + 2*m + 2. Let y(d) = d**4 - d**2 + 1. Suppose 0 = 6*r + 21 - 57. Let i(l) = r*y(l) - s(l). Determine k, given that i(k) = 0.
-2, -1, 1
Let s = 640/81 + -1199/162. Suppose 4*t - 7 = 5. Let s*m**t + 3/2 - 3/2*m**2 - 1/2*m = 0. Calculate m.
-1, 1, 3
Let i(y) = 39*y + 276. Let o be ((4 + -12)/16)/(2/28). Let a be i(o). Factor -1/4*u**2 + 7/4*u**a + 5/4*u**4 - 3/4*u + 0.
u*(u + 1)**2*(5*u - 3)/4
Let o(a) be the first derivative of -a**3 - 165*a**2/2 + 168*a + 4014. Factor o(i).
-3*(i - 1)*(i + 56)
Let b(v) = -v**3 - 6*v**2 + 23*v + 8. Let t be b(-9). Let 18 - t + 12*i**2 + 26 - 3*i = 0. Calculate i.
0, 1/4
Suppose 19*r + 26 - 102 = 0. Factor 27*u**2 + 3*u**r + 4 - 15*u**3 + 98*u - 119*u + 2.
3*(u - 2)*(u - 1)**3
Solve -48*n**4 + 580/3*n**3 + 0 + 16/3*n - 592/3*n**2 = 0.
0, 1/36, 2
Let b(p) be the third derivative of p**8/112 - 3*p**7/14 - 53*p**6/40 - 21*p**5/20 + 13*p**4/2 + 18*p**3 - 6431*p**2. Let b(x) = 0. What is x?
-2, -1, 1, 18
What is o in 17270*o - 85*o**2 + 17915084 - 78*o**2 + 168*o**2 - 3002439 = 0?
-1727
Suppose -460*d - 15003 = -15923. Factor 0*a**d + 3/5*a**3 + 0 + 0*a + 3/5*a**4.
3*a**3*(a + 1)/5
Let d be (255/(-459))/((-80)/72). Suppose 5 + 3 = -4*m + 2*v, 4 = 5*m + v. Factor 1/4*l**4 - 1/4*l**5 - 5/4*l**2 + 3/4*l**3 + m + d*l.
-l*(l - 1)**3*(l + 2)/4
Determine m so that -40/3*m**2 - 1/3*m**3 + 4/3*m + 160/3 = 0.
-40, -2, 2
Let q(d) be the third derivative of 0 - 2/11*d**4 - 48/11*d**3 - 44*d - 1/330*d**5 + 2*d**2. Find s such that q(s) = 0.
-12
Suppose 5*r - 3*o = 111, -585*r + 589*r = 4*o + 92. Suppose -294*c + r*c**2 - 1/2*c**3 + 1372 = 0. Calculate c.
14
Let k(c) = c**3 - 6*c**2. Let y(x) = -12*x**3 + 128*x**2 - 700*x. Let j(m) = 24*k(m) + y(m). Suppose j(r) = 0. Calculate r.
-7, 0, 25/3
Suppose -10*x**2 - 84*x**4 - 3*x**5 - 1294*x**3 + 10*x**2 + 898*x**3 = 0. What is x?
-22, -6, 0
Let q(k) = -4*k**5 + 200*k**4 + 659*k**3 - 1160*k**2 - 5842*k - 5088. Let j(l) = l**3 + 2*l. Let y(z) = j(z) + q(z). What is u in y(u) = 0?
-2, 3, 53
Factor -3090*h + 395180*h**2 + 274302*h**2 - 192077*h**2 + 5.
5*(309*h - 1)**2
Let f(n) be the second derivative of 0*n**2 + 0 - 85*n + 9/4*n**3 + 1/2*n**4 + 1/40*n**5. Let f(w) = 0. Calculate w.
-9, -3, 0
Let h(r) be the second derivative of -1/30*r**4 - 6/5*r**2 - 59*r - 7/15*r**3 + 2. Find k such that h(k) = 0.
-6, -1
Suppose -4*x - 3040 = -2*y, -61*x + 760 = -62*x + 4*y. Let q = x + 762. Factor -8*t + 11/3*t**q - 1/3*t**3 - 12.
-(t - 6)**2*(t + 1)/3
Determine q so that 28 + 12838*q + 7*q**3 - 12613*q + 122*q**2 + 82*q**2 = 0.
-28, -1, -1/7
Let m = -18/11617 + 766812/58085. What is l in -12/5*l + m*l**2 + 0 + 36/5*l**3 = 0?
-2, 0, 1/6
Let l(u) be the second derivative of -50*u**2 - 5*u + 2/3*u**4 - 26/75*u**6 + 46/25*u**5 - 1 - 70/3*u**3 + 2/105*u**7. Suppose l(b) = 0. Calculate b.
-1, 5
Let g be (24 - 23) + (-87)/(-9). Factor 44/9*y - g - 4/9*y**2.
-4*(y - 8)*(y - 3)/9
Let b(f) be the third derivative of f**6/30 + 35*f**5/3 + 2581*f**4/2 + 5046*f**3 - 599*f**2. Solve b(x) = 0.
-87, -1
Let v(s) = 2*s**3 - s**2 + 1. Let n(h) = -14*h**3 - 1933*h**2 - 93120*h + 47043. Let p(u) = -n(u) - 2*v(u). Factor p(i).
5*(i + 97)**2*(2*i - 1)
Let t(f) be the third derivative of -f**7/168 + f**6/12 - 3*f**5/8 + 5*f**4/6 + 21*f**3/2 - 7*f**2 - 2. Let j(x) be the first derivative of t(x). Factor j(m).
-5*(m - 4)*(m - 1)**2
Let h(s) be the third derivative of 0*s + 1/6*s**3 - 1/18*s**5 + 0 + 19/144*s**4 + 134*s**2. Factor h(p).
-(4*p + 1)*(5*p - 6)/6
Let d(g) = 2*g**4 - g**2 + g - 1. Let w(l) = -5*l**4 + 8*l**2 + 6*l + 5. Let t = 78 - 79. Let z(n) = t*w(n) - 2*d(n). Solve z(o) = 0.
-1, 3
Factor -s**3 - 37*s - 27 - 19