278*a = -c*a. Suppose 4*b**3 + a - 26/7*b**4 + 6/7*b**5 - 16/7*b + 8/7*b**2 = 0. What is b?
-2/3, 0, 1, 2
Let v be ((-48)/1320*-99*(-14)/(-21))/(66/20). Factor -2/11*o**5 + 0 - 12/11*o**3 - 8/11*o**4 - v*o**2 - 2/11*o.
-2*o*(o + 1)**4/11
Let k(b) be the third derivative of b**5/160 + 37*b**4/64 + 143*b**3/8 - 4834*b**2 - b. Factor k(q).
3*(q + 11)*(q + 26)/8
Factor 0 - 275*q - 5/2*q**2.
-5*q*(q + 110)/2
Let v(j) be the third derivative of -j**5/45 - 14*j**4/9 - 444*j**2 - 10. Factor v(w).
-4*w*(w + 28)/3
Let b(y) = 5*y**3 - y**2 - 7*y - 15. Suppose -7*k + 12 = -3*k. Let s(q) = 22*q**3 + 0 - 38*q**3 + 14*q**3 + 3*q + 7. Let f(g) = k*b(g) + 7*s(g). Factor f(o).
(o - 2)**2*(o + 1)
Let s(a) = 9*a**3 - 27*a**2 + 27*a - 16. Let t(i) = -3*i**3 + 9*i**2 - 9*i + 5. Let v = 192 + -199. Let j(u) = v*t(u) - 2*s(u). Factor j(g).
3*(g - 1)**3
Let g(x) = 51*x**4 - 155*x**3 + 255*x**2 - 105*x + 6. Let c(u) = -u**4 - 9*u**3 - 2*u**2 - u. Let y(b) = 4*c(b) + g(b). Let y(a) = 0. Calculate a.
3/47, 1, 2
Factor 3/2*i**2 + 15688134 - 9702*i.
3*(i - 3234)**2/2
Let q be ((-326)/(-22) - -1)*1 + 668/3674. Let p(g) be the first derivative of -6/5*g**4 + 6/5*g**3 + 2/5*g**5 - 2/5*g**2 + 0*g + q. Solve p(m) = 0 for m.
0, 2/5, 1
Let m(a) = -11*a**2 - 107*a + 103. Let c(o) = -4*o**2 - 1. Let t(b) = 6*c(b) - 2*m(b). Solve t(x) = 0.
1, 106
Let a = 7673 - 7671. Let h(m) be the second derivative of 1/21*m**7 + 0*m**4 + 1/3*m**3 + 0*m**a + 0 - 1/5*m**5 + 10*m + 0*m**6. Let h(b) = 0. What is b?
-1, 0, 1
Let c be 23/(-46)*(-1 + -49). Factor 0*y + c*y + 26914*y**3 - 26909*y**3 + 30*y**2.
5*y*(y + 1)*(y + 5)
Factor -970 + y**4 - 100*y**2 - 22*y**3 - 104*y + 970.
y*(y - 26)*(y + 2)**2
Find c such that 1078/3*c**2 + 0 + 2/3*c**3 + 0*c = 0.
-539, 0
Suppose 8*r - 6*r - 12 = 0. Let h = r - 3. Factor -5*c**h + 2*c**5 + 10*c**4 + 8*c**2 + 4*c + 23*c**3 + 6*c**2.
2*c*(c + 1)**3*(c + 2)
Let a(q) be the second derivative of -4*q**2 + 24/5*q**6 - 9/5*q**5 + 0 - 28/3*q**4 + 10*q**3 - 41*q. Suppose a(h) = 0. What is h?
-1, 1/4, 1/3, 2/3
Let h(x) be the third derivative of x**7/210 + x**6/10 - 61*x**5/30 + 17*x**4/2 - 95*x**3/6 - 903*x**2 + 1. Solve h(n) = 0 for n.
-19, 1, 5
Factor 0 + 2/5*y + 2/5*y**2.
2*y*(y + 1)/5
Let j = 24736 + -24734. Let q(o) be the second derivative of -o + 7/4*o**3 - 6*o**j + 0 + 1/8*o**4. Determine b so that q(b) = 0.
-8, 1
Solve 3448/5*d**2 + 26752/5*d - 32/5*d**4 + 4/5*d**5 - 124*d**3 - 61952/5 = 0 for d.
-8, 2, 11
Let f(k) = 6*k**2 + 110*k + 11. Let n(b) = -2*b**2 - 38*b - 4. Let m = -655 + 659. Let s(c) = m*f(c) + 11*n(c). Factor s(w).
2*w*(w + 11)
Let b(z) be the first derivative of z**6/2 + 27*z**5/5 + 27*z**4/2 - 54*z**3 - 729*z**2/2 - 729*z + 69. Find a such that b(a) = 0.
-3, 3
Let s be ((-164946)/34)/(-3) - (-98)/(-833). Let j = s - 1614. Let -1/4*l**5 - 1/2*l**2 + 1/2*l**4 + 1/4*l**j + 0*l + 0 = 0. What is l?
-1, 0, 1, 2
Let r(h) be the first derivative of 88 - 5/4*h**2 - 5*h + 5/6*h**3. Factor r(p).
5*(p - 2)*(p + 1)/2
Factor 92 - 22 - 76*a + 62 + 4*a + 4*a**2 - 4.
4*(a - 16)*(a - 2)
Suppose -2*p + 0*p = 0. Let v = -512390 - -512390. Find a such that p + v*a**2 - 6*a**4 + 0*a + 3/2*a**5 + 9/2*a**3 = 0.
0, 1, 3
Suppose 0 = 528*w - 534*w + 12. Factor 571*p**2 + 30000*p - 438*p**2 + 467*p**w + 500000 + 4*p**3.
4*(p + 50)**3
Let o(h) = -25*h**2 - 19*h + 32. Let z(u) = -71*u**2 - 56*u + 93. Let j(x) = -17*o(x) + 6*z(x). Factor j(s).
-(s - 1)*(s + 14)
Let m(r) be the first derivative of -10/3*r**3 + 8/3*r + 87 - 4/3*r**2. Factor m(p).
-2*(3*p + 2)*(5*p - 2)/3
Suppose -4919*p + 4803*p + 65 = -51. Factor 19/6*f - p - 1/6*f**4 - 7/2*f**2 + 3/2*f**3.
-(f - 6)*(f - 1)**3/6
Factor 33/4*s**3 - 3/4*s**4 + 0*s - 15/2*s**2 + 0.
-3*s**2*(s - 10)*(s - 1)/4
Let p(n) be the first derivative of 111/2*n**2 - 9*n**6 - 18*n + 62 + 147/5*n**5 - 57/4*n**4 - 43*n**3. Let p(i) = 0. What is i?
-1, 2/9, 1, 3/2
Factor -7/5*a**3 + 16/5*a**2 + 0 - 4/5*a.
-a*(a - 2)*(7*a - 2)/5
Suppose -1/5*o**3 - 16*o**2 + 1/5*o + 16 = 0. Calculate o.
-80, -1, 1
What is m in 23 + 1/2*m**2 + 47/2*m = 0?
-46, -1
Suppose 5*u + 7 = 22. Suppose -1 = u*r - 7. Factor -5*d**3 - r*d**3 - 3*d - 2*d**2 + 8*d**3.
d*(d - 3)*(d + 1)
Let z = -73 - -81. Let f be (2 - z)*(-1)/(-1 + 3). Find y such that 3*y**f + 9*y**3 + 24*y**2 - 112*y - 15*y**4 + 96 + 11*y**4 = 0.
-3, 2
Let y(c) = -16*c**2. Let v(b) = 111*b**2 - 688*b - 1372. Let z(f) = -2*v(f) - 14*y(f). Factor z(a).
2*(a + 2)*(a + 686)
Let u(s) = 2*s**3 - 9*s**2 + 10*s + 6. Let c be u(5). Suppose 5*o = -3*l + 17, -80*l + c*l = 4*o. Determine r, given that 5/6*r**3 + o - 11/6*r - 2*r**2 = 0.
-1, 2/5, 3
Let 1/3*u**4 + 67/3*u**3 - 118*u**2 + 144*u + 0 = 0. Calculate u.
-72, 0, 2, 3
Factor 658*y + 216*y**3 + 74*y**3 - 5331*y**5 + 5333*y**5 - 204 - 52*y**4 + 58*y**3 - 752*y**2.
2*(y - 17)*(y - 6)*(y - 1)**3
Let q(l) = -7*l + 37. Let h be q(0). Let d = h + -28. Determine j so that -d*j**3 + 4*j**3 + 4*j**3 - j**2 = 0.
-1, 0
Let z(i) be the third derivative of i**6/480 - i**5/240 - 25*i**4/96 + 25*i**3/24 - 2*i**2 - 48*i. Factor z(s).
(s - 5)*(s - 1)*(s + 5)/4
Let b(z) be the third derivative of -1/36*z**5 - 2*z + 11/24*z**4 - 1/360*z**6 + 65*z**2 + 0 - 3/2*z**3. Factor b(k).
-(k - 3)*(k - 1)*(k + 9)/3
Factor 511 + 448*m + 87 + 32 + 2*m**4 - 12*m**3 + 546 - 102*m**2.
2*(m - 7)**2*(m + 2)*(m + 6)
Suppose -6*a - 573 + 591 = 0. Suppose 4*o = -g - 14, -3*g + 14 = -5*o + a*o. Factor 0 - 4/7*n**g + 2/7*n + 2/7*n**3.
2*n*(n - 1)**2/7
Let i(k) = k**3 + 6*k**2 + 5*k - 3. Let h be i(-4). Let q = 4 + h. Factor -81 - m**2 + q*m + 3*m + 2*m.
-(m - 9)**2
Let o(n) be the first derivative of 279/10*n**5 + 2*n**2 + 27/4*n**6 + 14*n**3 + 137/4*n**4 - 142 + 0*n. Suppose o(y) = 0. What is y?
-2, -1, -2/9, 0
Let u = 69 + -37. Suppose 13 = 3*h - u. Factor -2*x + 16*x**3 - 18*x + 30*x**2 + 31*x**2 + h*x**2.
4*x*(x + 5)*(4*x - 1)
Determine t, given that -3/2*t**2 + 45/2*t - 81 = 0.
6, 9
Let i(b) be the third derivative of b**6/720 - b**5/36 + b**4/16 + b**2 + 958*b. Solve i(q) = 0.
0, 1, 9
Let p be (-12)/(-26)*10894/8799. Let o = 347/7 - 49. Factor -p*b**3 + 4/7*b + 4/7*b**4 + 0 - o*b**2.
4*b*(b - 1)**2*(b + 1)/7
Factor -1242/5*t**2 + 2/5*t**4 + 0 - 133*t + 177/5*t**3.
t*(t - 7)*(t + 95)*(2*t + 1)/5
Let h(f) be the first derivative of -2*f**6/3 + 276*f**5/5 - 391*f**4 + 1108*f**3 - 1520*f**2 + 1008*f - 3767. Solve h(q) = 0.
1, 2, 63
Let w(r) be the first derivative of 4*r**3/3 + 6*r**2 - 72*r - 423. Factor w(i).
4*(i - 3)*(i + 6)
Let z(x) = 2*x**3 - 4*x**2 + x - 3. Let n be z(0). Let k be (-2 - -2)*n/(4 - 1). Solve -4/5*f**2 + k*f + 0 + 4/5*f**3 = 0 for f.
0, 1
Let t be (-20)/190 - 1035/(-8208). Let i(h) be the second derivative of 0 - t*h**4 + 11*h + 1/24*h**3 + 0*h**2. Factor i(d).
-d*(d - 1)/4
Let m(c) be the second derivative of -c**6/75 - 2*c**5/25 + 7*c**4/30 + 34*c**3/15 + 24*c**2/5 - 2772*c. Determine b so that m(b) = 0.
-4, -2, -1, 3
Let w(j) be the first derivative of j**5/5 + 9*j**4/4 + 11*j**3/3 - 21*j**2/2 + 1268. Find v, given that w(v) = 0.
-7, -3, 0, 1
Let y(l) be the first derivative of l**5/100 + 3*l**4/40 - 2*l**3/5 - 14*l**2 + 62. Let f(i) be the second derivative of y(i). Determine u so that f(u) = 0.
-4, 1
Let v(c) be the first derivative of -c**6/24 + 31*c**5/20 - 283*c**4/16 + 673*c**3/12 - 77*c**2 + 49*c - 3517. Suppose v(h) = 0. What is h?
1, 14
Factor 1143/4 - 2283/8*c - 3/8*c**2.
-3*(c - 1)*(c + 762)/8
Find w, given that 155/4*w - 53 + 14*w**2 + 1/4*w**3 = 0.
-53, -4, 1
Let l be -4 - (6 + (-60)/6). Let r(t) be the third derivative of -2*t**2 + 1/15*t**6 + l - 1/6*t**4 + 0*t**5 + 0*t - 1/84*t**8 + 0*t**7 + 0*t**3. Factor r(w).
-4*w*(w - 1)**2*(w + 1)**2
Suppose -2743 + 394 = -783*y. Suppose 6/19*l**2 - 8/19 + 0*l + 2/19*l**y = 0. What is l?
-2, 1
Let q = 13336/2395 - -2506/479. Factor 3/5*l**4 - q*l**3 + 0 + 99/5*l**2 - 48/5*l.
3*l*(l - 16)*(l - 1)**2/5
Let z(o) be the third derivative of 86*o**2 + 0 - 1/280*o**7 - 11/80*o**5 + 0*o**3 + 0*o**4 + 0*o + 3/40*o**6. Let z(d) = 0. What is d?
0, 1, 11
Let z(r) = -r**5 + r**4 - r**3 + 1. Let d(s) = 3*s**5 - 2*s**4 + s - 2. Let w = -214 - -213. Let h(t) = w*d(t) - 2*z(t). Determine v so that h(v) = 0.
-1, 0, 1
Let t(k) be the third derivative of 17*k**5/3 - 565*k**4/8 - 25*k**3/6 + 406*k**2 + 1. Factor t(j).
5*(j - 5)*(68*j + 1