3 - 186*b**2 + 516*b. Suppose k(u) = 0. What is u?
-1, 93
Let q(y) = y**3 - y. Let d be (-1)/(34/(-11) - -3). Let f = d - 10. Let i(o) = -11*o**3 + 4*o**2 - 3*o. Let t(j) = f*i(j) - 3*q(j). Solve t(g) = 0.
0, 2/7
Let b(m) = 9*m**2 - 8*m - 3. Let x be b(-2). Factor -8 - 34*j**3 - x*j**5 + 8 - 77*j**4 - 4*j**2 + 2*j**3.
-j**2*(j + 1)*(7*j + 2)**2
Suppose 7 = 26*a - 25*a. Factor 29*f + a*f - 12*f**2 - 17 - 3 - 4*f**3.
-4*(f - 1)**2*(f + 5)
Factor 160*v + 110 + 5*v**3 + 215*v**2 + 50 - 165*v**2.
5*(v + 2)*(v + 4)**2
Factor -58*j + 4*j**3 + 64*j**2 + 141*j - 2367 + 97*j + 1719.
4*(j - 2)*(j + 9)**2
Let v = -6/4405 + 110149/17620. Suppose -1/4*i**3 + 9/4*i**2 - v - 15/4*i = 0. Calculate i.
-1, 5
Let w be (-20536)/3473 - (-5)/(5/6). Solve -w - 2/23*a**2 - 4/23*a = 0 for a.
-1
Let 17/2*l + 1/4*l**2 + 33/4 = 0. Calculate l.
-33, -1
Let b = -51 + 53. Factor 97*h - 2 - 81*h - 2 - 9*h**3 + 11*h**b.
-(h - 2)*(h + 1)*(9*h - 2)
Let w(x) = 7*x**2 + 63*x - 250. Let g(m) = 2*m**2 - 2. Let f(r) = -5*g(r) + w(r). Suppose f(p) = 0. Calculate p.
5, 16
Suppose j + 17 - 107 = -3*m, 43 = m - 4*j. Suppose 0 = -m*l + 37*l. Factor 0*b - 2/11*b**4 + 0*b**2 + l - 2/11*b**3.
-2*b**3*(b + 1)/11
Let v(u) be the third derivative of u**8/840 - u**6/75 + u**5/75 + u**4/20 - 2*u**3/15 - 6*u**2 + 2. Suppose v(m) = 0. What is m?
-2, -1, 1
Determine k so that 9/2*k - 1/6*k**3 + 13/3*k**2 + 0 = 0.
-1, 0, 27
Let n(s) = -139*s + 976. Let i be n(7). Solve 16/7*c + 0 - 10/7*c**4 - 34/7*c**i + 4*c**2 = 0 for c.
-4, -2/5, 0, 1
Factor 0 - 4/5*n**2 + 1/5*n**3 - n.
n*(n - 5)*(n + 1)/5
Let 28*p**4 - 14*p**4 - 21*p**2 + 20*p**2 + 3*p**3 - 13*p**4 - 2*p - p**5 = 0. What is p?
-1, 0, 1, 2
Suppose 5*a + 0*a = -2*a. Let d(c) be the second derivative of 3*c + 0*c**2 + 1/90*c**6 + 0 + a*c**3 + 1/36*c**4 - 1/30*c**5. Factor d(o).
o**2*(o - 1)**2/3
Let b(y) be the first derivative of 5*y**3/9 + 95*y**2/6 + 30*y + 45. Suppose b(h) = 0. What is h?
-18, -1
Let b = -3403 - -3406. Factor -81*s**2 - 144*s + 48 - 21/2*s**b.
-3*(s + 4)**2*(7*s - 2)/2
Suppose -5*h + 17 = 2*q, 2*h + 5*q = 16 - 5. Factor -8*w**2 - 4*w + 17*w**3 - 3*w**4 - 18*w**3 + 8*w**4 + 8*w**h.
w*(w - 1)*(w + 2)*(5*w + 2)
Let n(f) be the second derivative of -5*f**4/12 - 5*f**3/6 - 72*f - 2. Let n(k) = 0. What is k?
-1, 0
Let t(f) be the third derivative of -f**8/336 - 2*f**7/105 + f**6/30 + 11*f**5/30 - f**4/8 - 3*f**3 - 13*f**2 - 11*f. Let t(s) = 0. Calculate s.
-3, -1, 1, 2
Factor 4*b**3 + 0*b**3 - 3913 + 85*b + b**3 - 50*b**2 + 4053.
5*(b - 7)*(b - 4)*(b + 1)
Factor 48/7*t - 288/7*t**2 - 2/7.
-2*(12*t - 1)**2/7
Let t(d) be the third derivative of d**5/270 + d**4/9 - 27*d**2. Determine h, given that t(h) = 0.
-12, 0
Let m(l) be the first derivative of -9*l**5/5 + 6*l**4 - 3*l**3 - 3*l**2 + 8. Let m(h) = 0. What is h?
-1/3, 0, 1, 2
Factor -2/5*l**3 - 24/5 - 14/5*l**2 - 32/5*l.
-2*(l + 2)**2*(l + 3)/5
Suppose -24*q - 21 = -31*q. Suppose -4*d + 3*z + 0*z = -4, -3*d - q*z + 24 = 0. Factor -1/5*p**d + 0 + 2/5*p**3 - 1/5*p**2 + 0*p.
-p**2*(p - 1)**2/5
Factor -2/5*d**2 + 84/5*d + 86/5.
-2*(d - 43)*(d + 1)/5
Find r such that 52/5*r**2 - 4*r**4 + 48/5 - 36/5*r**3 + 4/5*r**5 + 112/5*r = 0.
-1, 2, 6
Let j(r) be the first derivative of -3*r**4/28 - 3*r**3 - 108*r**2/7 + 1296*r/7 - 119. Factor j(y).
-3*(y - 3)*(y + 12)**2/7
Let v(g) be the second derivative of -g**6/30 - 3*g**5/10 + 16*g**3/3 + 141*g. Determine h so that v(h) = 0.
-4, 0, 2
Let k(h) be the third derivative of 18*h**2 + 1/120*h**6 + 0*h + 0 - 1/30*h**5 + 0*h**3 + 1/24*h**4. Factor k(m).
m*(m - 1)**2
Let u(i) = i**3 - 5*i**2 + i - 3. Let s = 20 - 15. Let f be u(s). Suppose 3*y - 4*y + f*y - y**3 = 0. Calculate y.
-1, 0, 1
Let k = 1123 - 3331/3. Let h be (2/(-2))/(6/(-16)). Let -28/3*l - 1/3*l**5 + k*l**2 + h*l**4 - 25/3*l**3 + 8/3 = 0. What is l?
1, 2
Factor -96*g**2 - 192 - 32*g**3 + 6*g**3 + 30*g**3 + 296*g - 12*g**2.
4*(g - 24)*(g - 2)*(g - 1)
Let m be (-2 + -6)*-2*4/80. Let t(h) be the second derivative of m*h**5 + 0 + 0*h**2 + 1/3*h**3 + 10*h - 7/30*h**6 - 11/12*h**4. Factor t(l).
-l*(l - 1)**2*(7*l - 2)
Let d(m) be the first derivative of m**4/5 - 28*m**3/15 + 28*m**2/5 - 32*m/5 + 30. Find q such that d(q) = 0.
1, 2, 4
Let m(j) be the second derivative of -20*j + 1/3*j**4 + 4/3*j**3 + 0 - 6*j**2. Factor m(u).
4*(u - 1)*(u + 3)
Let d(m) = 2*m**3 - 53*m**2 - 80*m - 107. Let c be d(28). Factor 10/3*u**4 - 10/3*u + 20/3*u**2 - 2/3*u**c - 20/3*u**3 + 2/3.
-2*(u - 1)**5/3
Let p(t) = 3*t - 6. Let v(u) = 3*u - 17*u**2 + 6*u - 18 + 44*u**2 - 26*u**2. Let n(s) = -8*p(s) + 3*v(s). Factor n(c).
3*(c - 1)*(c + 2)
What is v in 1/9*v**3 + 0 - v + 0*v**2 = 0?
-3, 0, 3
Suppose -16 = c + 7. Let k = c - -51. Let -k - 4*x**2 + 28 + 6*x**2 + 2*x = 0. What is x?
-1, 0
Suppose 0 = -2*u + 6*u - 12. Find k such that -30*k**4 - 2*k**u - 25*k**4 + 53*k**4 = 0.
-1, 0
Suppose -8 = p - 10. Factor 6*f**3 - f**5 + 0*f**5 + 6*f**4 - 6 - 2*f**5 + 6*f - 24*f**p + 15*f.
-3*(f - 1)**4*(f + 2)
Suppose -2*h - 2 = 2*t - 4*t, 4*t - 22 = -2*h. Factor 36*s**2 + 30*s + 2*s**t + s**4 + 9 - 54*s**3 + 72*s**3.
3*(s + 1)**3*(s + 3)
Let b(q) = q**2 - 113*q + 2546. Let g be b(82). Suppose 17/2*v**3 - g + 14*v - 3/2*v**4 - 17*v**2 = 0. What is v?
2/3, 1, 2
Let m(q) be the third derivative of -q**6/72 - 125*q**5/36 - 2480*q**4/9 - 9610*q**3/9 + 68*q**2 - 2*q. Solve m(l) = 0.
-62, -1
Let c(g) = -34*g - 846. Let h be c(-25). Let u(z) be the second derivative of 0 - h*z**2 + 2*z**3 + 2*z - 1/3*z**4. Factor u(n).
-4*(n - 2)*(n - 1)
Suppose -46 = -5*n + 64. Suppose 3*c - 8 = n. Factor -96*u**3 + c*u**4 - 36*u**2 - 4*u + 5*u**4 - 79*u**4.
-4*u*(u + 1)*(4*u + 1)**2
Let r(g) be the second derivative of 2*g**2 + 2/3*g**3 + 0 - 1/20*g**5 - 1/12*g**4 - 8*g. Determine o, given that r(o) = 0.
-2, -1, 2
What is p in 152*p + 232*p**2 + 88 + 210*p + 4*p**3 + 410 + 306*p - 58 = 0?
-55, -2, -1
Let y(r) = 10*r**2 - 17*r + 2. Suppose 0*h = 3*h - 6. Let s(u) = -3 + 5*u**2 - 8*u + 6 + 0 - h. Let n(l) = -5*s(l) + 2*y(l). Factor n(z).
-(z - 1)*(5*z - 1)
Let p(v) be the second derivative of -2*v**6/15 + 86*v**5/5 - 1849*v**4/3 - 121*v. Solve p(y) = 0 for y.
0, 43
Let v(f) be the first derivative of 5*f**6/9 + 2*f**5/45 - 137*f**4/18 - 2*f**3/3 + 2*f**2 - 663. Solve v(p) = 0.
-3, -2/5, 0, 1/3, 3
Let n(j) be the third derivative of -j**7/11340 - j**6/1620 - j**5/540 + j**4/12 - 11*j**2. Let a(g) be the second derivative of n(g). Factor a(y).
-2*(y + 1)**2/9
Suppose -2*o - 4*t + 14 = t, 5*o = -2*t + 56. Factor g**4 - o*g**4 + 7*g**4 + 9*g**4.
5*g**4
Factor 153*k + 111*k + 3*k**2 + k**2 + k**2 - 229*k + 50.
5*(k + 2)*(k + 5)
Let t(s) = -2*s**5 - s**3 - s**2 + s + 2. Let m(x) = 12*x**5 - 32*x**4 + 68*x**3 - 4*x**2 - 72*x + 32. Let n(f) = m(f) + 4*t(f). Let n(q) = 0. What is q?
-1, 1, 2, 5
Let p(w) be the second derivative of -w**5/140 + w**4/4 - 13*w**3/14 + 19*w**2/14 + 94*w. Factor p(m).
-(m - 19)*(m - 1)**2/7
Let y(z) = -z**2 - 49*z - 357. Let n be y(-40). Factor 2/9*r**4 - 10/9*r**n + 16/9*r**2 + 0 - 8/9*r.
2*r*(r - 2)**2*(r - 1)/9
Let j(d) = -3*d**4 + 5*d**3 - 22*d**2 + 31*d - 6. Let c(u) = -2*u**4 + 3*u**3 - 11*u**2 + 15*u - 2. Let m(v) = -5*c(v) + 3*j(v). Factor m(a).
(a - 2)*(a - 1)**2*(a + 4)
Let j(w) be the third derivative of 0*w**6 + 0*w**4 + 0*w**3 + 0*w - 16*w**2 + 13/350*w**7 - 1/75*w**5 - 1/48*w**8 + 0. Determine g, given that j(g) = 0.
-2/7, 0, 2/5, 1
Let r(w) be the second derivative of -w**9/37800 - w**8/4200 - w**7/2100 - 5*w**4/12 + 5*w. Let v(l) be the third derivative of r(l). Factor v(k).
-2*k**2*(k + 1)*(k + 3)/5
Let g(s) be the second derivative of 3*s**5/20 + 23*s**4/16 + 15*s**3/8 + 19*s - 1. Let g(a) = 0. What is a?
-5, -3/4, 0
Find y, given that 22*y**2 - 2*y**3 - 2*y**3 + 28*y**2 - 4*y**4 - 30*y**2 - 12*y = 0.
-3, 0, 1
Let i(j) = -12*j - 3. Let u be i(-2). Suppose -u - 15 = -4*c. Factor c*s**2 - 13*s - 6*s**3 - 18*s + 28*s.
-3*s*(s - 1)*(2*s - 1)
Let c(q) be the first derivative of q**6/18 - 49*q**5/15 - 33. Factor c(l).
l**4*(l - 49)/3
Let c be 6*7/10 + 6/(-30). Suppose -c*h - 2*h = -9*h. Factor h + 0*r + 0*r**3 + 0*r**2 + 2/9*r**5 - 2/9*r**4.
2*r**4*(r - 1)/9
Let m(n) = -17*n**3 - n. Let i be m(-1). Let f = i + -14. Suppose 3*b**4 + 2*b - 4*b**2 + 2*b**5 + 18 - 4*b**3 - 16 + 0*b**f - b**4 = 0. Calculate b.
-1, 1
Let q(d) be t