, -1, 0
Suppose 44*r - 3/2*r**4 - 38*r**2 + 13*r**3 - 16 = 0. Calculate r.
2/3, 2, 4
Let x(l) = l**2 - 6*l - 7. Let y be x(-2). Let t(d) = 141*d**2 + 129*d + 6. Let i(j) = 71*j**2 + 64*j + 3. Let r(z) = y*i(z) - 5*t(z). Factor r(c).
-3*(c + 1)*(22*c + 1)
Factor 34*y - 2*y**2 - 29*y + 273 - 73*y + 31.
-2*(y - 4)*(y + 38)
Let r be (-19)/(-10)*(7560/1710)/21. Factor 16/5*a**2 + 42/5*a + r*a**3 + 36/5.
2*(a + 2)*(a + 3)**2/5
Let p(u) be the first derivative of 2*u**3/21 + 3*u**2 - 704*u/7 - 4444. Determine q so that p(q) = 0.
-32, 11
Let t(i) = -5*i**4 + 2*i**3 + 27*i**2 + 4*i - 16. Let q(x) = x**3 + x**2 + 2*x + 2. Let b(z) = 2*q(z) - t(z). Let b(n) = 0. Calculate n.
-2, -1, 1, 2
Let n = -14 + 20. Suppose n = 2*c - 0. Factor -w**3 + 8*w**c - 2*w**5 - 2*w - w**3 - 2*w**3.
-2*w*(w - 1)**2*(w + 1)**2
Let q be ((-54)/(-21) + -3)/(29/(-1131)). Let t = 421/21 - q. Find s, given that -8/3*s**2 + 0 + 2/3*s**3 - t*s = 0.
-1, 0, 5
Let n(y) = -77*y**3 - 918*y**2 - 1449*y + 32. Let m(s) = 82*s**3 + 918*s**2 + 1450*s - 32. Let z(u) = -3*m(u) - 2*n(u). Let z(i) = 0. What is i?
-8, -2, 1/46
Find d, given that 0 - 5*d**4 + 15/4*d**5 + 0*d + 0*d**2 + 5/4*d**3 = 0.
0, 1/3, 1
Let b(z) be the first derivative of 0*z - 3/5*z**5 + z**3 - 81/2*z**2 + 81/4*z**4 - 108. Determine k so that b(k) = 0.
-1, 0, 1, 27
Suppose 4*d = -5*t + 5, -4*t - d = 3 - 18. Suppose 3*c**4 - 16 - 5*c - 27*c - 4*c**2 - 4*c**t + c**4 + 20*c**3 = 0. Calculate c.
-1, 2
Suppose 212/3*t + 40/3*t**2 + 272/3 + 1/3*t**3 = 0. Calculate t.
-34, -4, -2
Let j = 869079 + -869079. Suppose -3*u + j - 13/2*u**2 - 1/2*u**4 - 4*u**3 = 0. Calculate u.
-6, -1, 0
Let r be 6/(-4)*10/(-3) + 0. Let g be r*(7 + 32/(-5)). Factor 1/5*i - 1/5*i**g - 1/5*i**2 + 1/5*i**4 + 0.
i*(i - 1)**2*(i + 1)/5
Let r(x) be the third derivative of -x**8/15680 - x**7/1470 - x**6/420 - 85*x**4/24 - 27*x**2. Let m(o) be the second derivative of r(o). Factor m(g).
-3*g*(g + 2)**2/7
Let x(v) be the second derivative of -v**9/5292 + v**8/735 - v**7/294 + v**6/315 + 7*v**3/2 + 66*v. Let a(j) be the second derivative of x(j). Factor a(h).
-4*h**2*(h - 2)*(h - 1)**2/7
Let h(o) be the second derivative of -o**4/6 + 848*o**3/3 - 11*o + 9. Factor h(p).
-2*p*(p - 848)
Let g(i) be the second derivative of 2/3*i**3 - 2 - 9/20*i**5 - 1/15*i**6 + 1/42*i**7 + 11/6*i**4 - 12*i**2 + 8*i. Find d such that g(d) = 0.
-3, -1, 2
Let m(i) be the second derivative of 3/8*i**4 + i**2 + 11/12*i**3 + 14 + 2*i + 1/40*i**5 - 1/60*i**6. Let m(b) = 0. What is b?
-1, 4
Find f such that -16*f**2 - 42*f**3 + 14*f**4 + 28*f - 26*f**4 + 4*f**4 + 14*f**3 + 6 + 18*f**4 = 0.
-1, -1/5, 1, 3
Let a = 36039/72086 + 2/36043. Solve -a*o**3 + 3/2*o**2 + 2*o + 0 = 0.
-1, 0, 4
Let b(r) be the second derivative of -5*r**7/42 - 8*r**6/3 - 53*r**5/4 - 155*r**4/6 - 20*r**3 + 2*r - 3337. Let b(w) = 0. What is w?
-12, -2, -1, 0
Factor 15/2 - 301/4*q + 5/2*q**2.
(q - 30)*(10*q - 1)/4
Let h be 30/75*12910/(-96). Let d = -425/8 - h. Let -4/3*y - d*y**2 + 0 = 0. What is y?
-2, 0
Factor -95*r**3 + 207*r**3 - 234*r - 183*r**2 - 47 - 108*r**3.
(r - 47)*(r + 1)*(4*r + 1)
Let s(c) = 63*c + 1377. Let x be s(0). Let i = x - 1374. Let 3*g - 26/3*g**2 - g**i + 0 = 0. What is g?
-9, 0, 1/3
Let r(u) be the first derivative of -42*u**5/5 + 1095*u**4/8 + 829*u**3/2 - 42*u**2 - 90*u - 692. Suppose r(c) = 0. What is c?
-2, -1/4, 2/7, 15
Let f(m) be the third derivative of m**7/1260 - m**6/180 - 13*m**5/360 + m**4/36 + m**3/3 + 5*m**2 + 14*m - 4. Solve f(y) = 0 for y.
-2, -1, 1, 6
Let d = -23/1483 + 326421/10381. Factor 50/7*z**4 - 88/7*z - d*z**3 + 282/7*z**2 + 8/7.
2*(z - 2)**2*(5*z - 1)**2/7
Let l be (0/1)/((-21)/105*5). Let n(r) be the third derivative of l*r**4 + 0 - 1/18*r**3 + 0*r + 1/180*r**5 + 12*r**2. Factor n(k).
(k - 1)*(k + 1)/3
Let g(d) = -9*d**2 - 21*d + 3. Suppose 2*f + b = 9, 14 = 3*f + 4*b - 2. Let t(m) = -2*m**2 - 5*m + 1. Let i(l) = f*g(l) - 15*t(l). Factor i(c).
-3*(c + 1)*(2*c + 1)
Solve -2*d**5 - 432*d**2 + 22*d**3 + 242*d**2 + 226*d**2 - 16*d**4 = 0 for d.
-9, -1, 0, 2
Let q(i) be the second derivative of -i**4/54 - 62*i**3/27 + 7*i**2 - 1100*i. Factor q(v).
-2*(v - 1)*(v + 63)/9
Let -10/3 + 27*o**3 - 167/3*o - 76/3*o**2 = 0. What is o?
-1, -5/81, 2
Let b(z) be the first derivative of z**6/180 - z**5/15 - z**4 - 4*z**3 + z - 123. Let c(u) be the third derivative of b(u). Factor c(m).
2*(m - 6)*(m + 2)
Let v(p) be the second derivative of p**6/165 + 14*p**5/11 + 46*p**4/11 - 17*p - 36. Solve v(c) = 0 for c.
-138, -2, 0
Let f be 60 + (11 - 4) + -10. Let -116 + 294*p**2 - 291*p**2 - f*p - 10 = 0. Calculate p.
-2, 21
Let x be 2/(-9) - (-102)/54. Let k(s) be the second derivative of 4*s**2 + 0 + 13*s - x*s**3 + 1/6*s**4. Factor k(v).
2*(v - 4)*(v - 1)
Suppose 3*x = 4*m + 16, 5*x + 6*m - 10*m - 16 = 0. Let t(u) be the second derivative of -1/3*u**2 + 1/18*u**4 + 24*u + 1/150*u**5 - 1/45*u**3 + x. Factor t(z).
2*(z - 1)*(z + 1)*(z + 5)/15
Let y(a) = -14*a**3 - 1734*a**2 - 1047843*a - 206425097. Let u(r) = r**3 - 3*r**2 + 2. Let o(n) = 26*u(n) + 2*y(n). Factor o(x).
-2*(x + 591)**3
Suppose 0 = 39*a - 40*a - 2*p + 6, 2 = p. Factor 108*k - 28*k**4 + k**5 - 108 + 72*k**a - 11*k**5 + 6*k**5 - 40*k**3.
-4*(k - 1)**2*(k + 3)**3
Let h(n) be the first derivative of -n**4/3 + 2*n**3 + 56*n**2 - 60*n + 7. Let b(s) be the first derivative of h(s). Factor b(t).
-4*(t - 7)*(t + 4)
Suppose 500 + 360 = 10*j. Determine n, given that 172 + j - 453 + 80*n - 5*n**2 = 0.
3, 13
Let i be 528/(-1188) + (-3190)/(-522) + (0 - -1). Solve i*g**2 - 5/3*g**5 + 0 + 10*g**3 - 5/3*g**4 - 40/3*g = 0.
-2, 0, 1, 2
Suppose 464*z - 462*z - 5*v - 22 = 0, 0 = 4*z + v. Let p(m) = 4*m - m**2 - 3 + 4 - 5*m. Let w(l) = -9*l**2 - 14*l + 4. Let a(r) = z*w(r) - 4*p(r). Factor a(d).
-5*d*(d + 2)
Suppose 0 = 5*l + 3*w - 47, -31 = -3*l + w - 0. Suppose 0 = -13*x + l + 16. Factor -1/4*q + 1/4*q**3 - 3/4 + 3/4*q**x.
(q - 1)*(q + 1)*(q + 3)/4
Let o(x) be the second derivative of x**6/40 - 27*x**5/8 + 33*x**4/2 - 131*x**3/4 + 261*x**2/8 + 8100*x. Determine l, given that o(l) = 0.
1, 87
Let g(w) be the first derivative of -w**6/14 - 4*w**5/5 + 3*w**4/28 + 472*w**3/21 + 42*w**2 + 144*w/7 - 6733. Solve g(c) = 0.
-6, -1, -1/3, 4
Suppose 2*o - 5*z - 24 + 2 = 0, -z - 2 = 2*o. Find p, given that -2*p**2 + o + 1 - 4*p**3 + 4*p - 7*p**2 + 7*p**2 = 0.
-1, -1/2, 1
Let z(h) be the second derivative of 9*h + 0 - 1/5*h**5 + 25/18*h**4 + 4/3*h**2 - 28/9*h**3. Determine b, given that z(b) = 0.
1/6, 2
Let z(g) = 5*g - 39 - 27 - 13 - 24. Let d be z(21). Let a - 1/2*a**3 - 1/2*a**d + 0 = 0. What is a?
-2, 0, 1
Suppose -133*d + 35 = -132*d. Let b be (1/(-3))/(d/(-42)). What is t in b*t**4 + 16/5*t**2 + 2*t**3 + 0 + 8/5*t = 0?
-2, -1, 0
Suppose 0 = 4*m + 3*q - 32, -16*m - 3*q = -17*m - 7. Factor 8*j**2 - 8*j**3 + 27*j**2 - 18*j - 14*j**2 + m*j**3.
-3*j*(j - 6)*(j - 1)
Factor -8 + 1077941*j - 161*j**2 - 1077713*j - 59*j**2.
-4*(j - 1)*(55*j - 2)
Let l = 191 - 189. Let o(f) be the first derivative of 0*f + 1/21*f**3 + 22 + 1/14*f**l. Suppose o(w) = 0. What is w?
-1, 0
Let a = 89468 + -89466. Solve z**a + 0 + 0*z + 1/4*z**3 = 0.
-4, 0
Let l(q) = 4*q**2 + 3855*q - 19315. Let c be l(5). Factor c*p - 123/2 + 3/2*p**2.
3*(p - 1)*(p + 41)/2
Suppose 706 - 352 - 552 = -99*b. Solve -184/13*i - 112/13 - 2/13*i**4 - 2*i**3 - 108/13*i**b = 0 for i.
-7, -2
Let u(l) = -12*l**4 + 41*l**3 - 158*l**2 + 109*l. Let j(q) = -14*q**4 + 40*q**3 - 158*q**2 + 108*q. Let h(f) = 5*j(f) - 6*u(f). Find p, given that h(p) = 0.
0, 1, 3, 19
Suppose 5*s - 5 = 0, 2*r - 22*s + 392 = -20*s. Let m be (-2)/(-5)*r/(-26). Suppose -12/17*o**4 + 18/17*o**m + 0*o + 0 + 2/17*o**5 + 0*o**2 = 0. Calculate o.
0, 3
Let g = -448566 - -448566. Factor -18/5*p + 2/5*p**2 + g.
2*p*(p - 9)/5
Let u(h) be the third derivative of h**9/3024 + h**8/560 - h**7/840 - h**6/120 - 10*h**3/3 + 27*h**2. Let z(m) be the first derivative of u(m). Factor z(x).
x**2*(x - 1)*(x + 1)*(x + 3)
Suppose 3*l - 5*x = 4562, -28*x + 1519 = l - 30*x. Factor 5*z**3 + 1514*z**2 - l*z**2 + 12 + 8.
5*(z - 2)**2*(z + 1)
Let l(h) be the first derivative of 2*h**3/45 + h**2/5 - 4*h/3 - 1023. Factor l(a).
2*(a - 2)*(a + 5)/15
Find j, given that 1077/5*j**3 + 1752/5 - 1326/5*j**2 - 204/5*j**4 - 852/5*j - 3/5*j**5 = 0.
-73, -1, 2
Suppose 31277*b = 31308*b