3*x**4 + 0 - 28/3*x**3 - 1/21*x**7 + 16*x + 8/15*x**6. Suppose j(d) = 0. What is d?
1, 2
Let u = 173/68 - 39/17. Factor u + 3/4*y**2 + 3/4*y + 1/4*y**3.
(y + 1)**3/4
Let t(b) be the third derivative of b**7/945 - b**6/135 - 11*b**5/45 + 35*b**4/27 + 1225*b**3/27 - 8*b**2 + 2. Factor t(d).
2*(d - 7)**2*(d + 5)**2/9
Suppose 2*g**2 + 16/5*g - 24/5 - 2/5*g**3 = 0. What is g?
-2, 1, 6
Let p(q) be the first derivative of 4*q + 1/8*q**4 + 2/5*q**5 + 9 - 5/3*q**3 + 1/12*q**6 - q**2. Determine m so that p(m) = 0.
-2, 1
Let y be (132/64 + -2)*(-14)/(-70). Let d(b) be the second derivative of 5/48*b**4 - 2*b + 3/8*b**2 + 0 - y*b**5 - 7/24*b**3. Let d(c) = 0. What is c?
1, 3
Let h(y) be the third derivative of 4*y**7/35 + 19*y**6/30 - y**5/15 - 11*y**4/6 + 2*y**3 - 96*y**2. Solve h(v) = 0 for v.
-3, -1, 1/3, 1/2
Let m = 8 + -6. Suppose -4 = m*k - 4*a, 2*a = 5*k - 2*a - 14. Suppose k*r - 16 + 3*r**3 + 4 - 9*r**2 + 12 = 0. Calculate r.
0, 1, 2
Solve 0 + 2*u**2 - 10*u - 6 - 18*u + 24*u = 0 for u.
-1, 3
Let n = -12 - -2. Let q be (20/75)/((-12)/n). Factor -2/9 - 4/9*h - q*h**2.
-2*(h + 1)**2/9
Suppose 3*v + 5*q - 7 = 0, -7*v = -2*v - 3*q - 57. Determine h so that -13*h**2 - 138 - v*h**5 - 2*h - 27*h**4 + 138 - 29*h**3 = 0.
-1, -2/3, -1/3, 0
Let c(v) = 135*v + 1890. Let q be c(-14). Find l, given that 2/3*l**2 - 2/3*l**4 + 1/3*l + q*l**3 + 0 - 1/3*l**5 = 0.
-1, 0, 1
Let t(p) = -2*p - 6. Let g be t(-4). Suppose 5*f + 4*s - 16 = 0, g*f + f + 4 = s. Factor 2/9*y**2 + f + 2/9*y.
2*y*(y + 1)/9
Let k(m) be the first derivative of m**4/3 - 7*m**3/15 - 3*m**2/5 - 9*m + 7. Let o(c) be the first derivative of k(c). Find d, given that o(d) = 0.
-3/10, 1
Let b(s) be the second derivative of -2/45*s**4 + 0 - 1/150*s**5 + 18*s - 1/9*s**3 - 2/15*s**2. Suppose b(w) = 0. Calculate w.
-2, -1
Let u(q) be the second derivative of q**6/270 + q**5/24 - q**4/18 + q**3/2 + 18*q. Let n(t) be the second derivative of u(t). Factor n(f).
(f + 4)*(4*f - 1)/3
Let d(y) = -8*y**3 + 41*y**2 - 58*y + 31. Let l(p) = -15*p**3 + 80*p**2 - 115*p + 60. Let i(m) = 5*d(m) - 3*l(m). Find j, given that i(j) = 0.
1, 5
Let h(c) = -c**2 - 86*c - 622. Let a be h(-8). Factor 12*v**a + 27/4 - 18*v.
3*(4*v - 3)**2/4
Let c(z) = -8*z**2 + 20*z + 23. Let y(f) = -7*f**2 + 19*f + 22. Let a(i) = 4*c(i) - 5*y(i). Factor a(p).
3*(p - 6)*(p + 1)
Suppose 2*s - 144 = 5*s. Let m be s*1*(-9)/27. Factor 4 - p**4 - 16*p**3 - m*p + 5*p**4 + 6*p**2 + 18*p**2.
4*(p - 1)**4
Let b(o) be the first derivative of o**6/420 - o**4/84 - o**2/2 + 11. Let q(n) be the second derivative of b(n). Factor q(t).
2*t*(t - 1)*(t + 1)/7
Suppose -5*t = 0, 2*b = 6*b - 4*t - 8. Let u be (-9)/(-6) - (-5)/((-20)/(-2)). Solve 2*j**2 - j - 4*j**u + b + j**2 = 0.
-2, 1
Let g(t) = -t**2 + 118*t + 1146. Let z be g(127). Factor -14/3*i**4 - 4/3*i + 0 + 8*i**z - 2*i**2.
-2*i*(i - 1)**2*(7*i + 2)/3
Let g(d) be the second derivative of -d**7/5880 - d**6/2520 - 7*d**3/6 + 6*d. Let h(b) be the second derivative of g(b). Factor h(i).
-i**2*(i + 1)/7
Suppose 0 = -17*l + 10*l + 35. Let v(q) be the second derivative of 1/110*q**l - 5*q + 0 + 5/33*q**3 + 2/33*q**4 + 2/11*q**2. Factor v(y).
2*(y + 1)**2*(y + 2)/11
Let r(o) be the third derivative of -o**11/221760 - o**10/33600 + o**8/3360 - o**5/10 + 8*o**2. Let z(k) be the third derivative of r(k). Factor z(x).
-3*x**2*(x - 1)*(x + 2)**2/2
Let t(o) be the third derivative of 1/4*o**3 + 7/32*o**4 + 1/16*o**5 + 0*o - 8*o**2 + 0. Factor t(y).
3*(y + 1)*(5*y + 2)/4
Let z(c) be the third derivative of c**6/120 - c**5/60 - c**4/6 + 2*c**3/3 - c**2 - 18*c. Let z(i) = 0. Calculate i.
-2, 1, 2
Let u(c) = -2*c**3 + c**2 - 1. Let s be u(-1). Let v be 3 + -4 + s + 1. Determine p, given that 0 + 7/8*p**v + p**3 + 1/4*p + 3/8*p**4 = 0.
-1, -2/3, 0
Let d(b) be the second derivative of 0 + 11*b + 0*b**2 - 1/3*b**3 - 1/12*b**4. Determine u so that d(u) = 0.
-2, 0
Let z(o) be the third derivative of -1/24*o**4 + 1/15*o**5 + 26*o**2 + 0 + 3/160*o**6 + 0*o**3 + 0*o. What is k in z(k) = 0?
-2, 0, 2/9
Let i(m) be the second derivative of -m**6/45 - 7*m**5/30 - m**4/9 + 64*m**3/9 + 32*m**2 + 710*m. Find t, given that i(t) = 0.
-4, -2, 3
Let g(v) be the first derivative of 1/4*v**4 + 0*v**3 + 13/10*v**5 - 17 + 11/12*v**6 + 0*v**2 + 0*v. Factor g(u).
u**3*(u + 1)*(11*u + 2)/2
Let h = -12 - -14. Factor 6*b**2 - 2*b**2 - 6*b + 4*b**3 + 4*b - 2*b**5 + 66 - 68 - h*b**4.
-2*(b - 1)**2*(b + 1)**3
Let l be (-9)/(-12) + (-2 - 29/(-4)). Let t(x) be the third derivative of 0*x**4 + 0*x**3 - 1/390*x**5 - 1/780*x**l + 0 + 0*x + 3*x**2. Factor t(p).
-2*p**2*(p + 1)/13
Factor -13*r**2 - 1/6*r**4 - 32/3*r - 17/6*r**3 + 80/3.
-(r - 1)*(r + 4)**2*(r + 10)/6
Suppose 0 = -2*t - 8, 5*q + 8*t = 3*t - 40. Let x be (1 + 10/6 + q)/(-4). Factor x*u**4 - 1/3*u**3 + 0*u**2 + 0*u + 0.
u**3*(u - 1)/3
Suppose -5 = 5*i, 5*g - 6*i = -4*i + 17. Let p be -3 - ((-1 - g) + -1). Suppose -3 + 3 - c**p + c = 0. Calculate c.
0, 1
Suppose -11*t + 87 + 111 = 0. Let h be (-1 - -1) + (2 - 0). Factor 12*d - 3*d**2 + d**2 - t + 2*d**2 - 2*d**h.
-2*(d - 3)**2
Let a(v) = 6*v. Let j be a(3). Factor -2 - 2 + j*y**2 - 2*y**3 + 2*y**4 + 10*y - 24*y**2.
2*(y - 1)**3*(y + 2)
Let s = 656 - 656. Let p(k) be the second derivative of s + 0*k**3 + 1/6*k**2 - 1/36*k**4 - 7*k. Find q, given that p(q) = 0.
-1, 1
Let a(x) be the first derivative of x**3/6 - 2*x + 613. What is t in a(t) = 0?
-2, 2
Let t = -47 - -59. Factor -m**2 + 0 + t - 2*m**2.
-3*(m - 2)*(m + 2)
Find r, given that 45 - 141/2*r + 9/2*r**2 = 0.
2/3, 15
Let v(r) be the first derivative of -r**3 - 63*r**2/2 - 114*r + 12. Find s such that v(s) = 0.
-19, -2
Factor 0 + 6/5*v**2 + 8/5*v**3 - 4*v.
2*v*(v + 2)*(4*v - 5)/5
Let s be 37/13 - (-14)/91. Let n be (-5 - (1 + -4)) + (s - -1). Solve -2*m**4 + 0 - n*m**3 + 2/9*m + 2/9*m**2 = 0 for m.
-1, -1/3, 0, 1/3
Let i = 1789 + -1786. Let u(g) be the first derivative of -3/4*g**4 + 0*g**2 + 3/5*g**5 + 0*g - 12 - g**i + 1/2*g**6. What is c in u(c) = 0?
-1, 0, 1
Let j be -2 + 244/112 - (-24)/96. Let -6/7*m**2 + 0 + 0*m - j*m**3 = 0. What is m?
-2, 0
Let x(c) = 5*c**2 - 3*c. Let f be x(1). Let m be (-44)/(-56) + f/(-4). Factor 4/7*k**2 + 6/7*k**3 + 0*k + 0 + m*k**4.
2*k**2*(k + 1)*(k + 2)/7
Let s(c) be the first derivative of -2*c**5/95 + c**4/19 + 2*c**3/3 - 20*c**2/19 - 226. Find z, given that s(z) = 0.
-4, 0, 1, 5
Let z = 4310885/1511 - 2853. Let t = z + 9044/16621. Let -4/11*n**3 + 0*n - 8/11*n**2 + 2/11 + t*n**4 + 4/11*n**5 = 0. What is n?
-1, 1/2, 1
Let z(t) = t**3 - 3*t**2 + t - 3. Suppose -3*a + 5*a = 6. Let f be z(a). Solve -1/5*u**3 - 4/5*u + f - 4/5*u**2 = 0.
-2, 0
Let o(v) = v**3 - 6*v**2 + 2*v. Let c be o(6). What is a in 6 + 1 + 10 + 3*a**2 - 5 - c*a = 0?
2
Suppose -29 = -4*q - 141. Let n = 30 + q. Suppose 0*z + 0 + 1/2*z**n = 0. What is z?
0
Let h = -707 - -2137/3. Let f(u) be the first derivative of 1/12*u**4 + 4/3*u**2 + 7/9*u**3 - h*u - 11. Suppose f(k) = 0. What is k?
-4, 1
Let n = 24966 - 174746/7. Solve -16/7*q - 4/7*q**2 - n = 0.
-2
Let l be (-2 + 2/3)*24/(-64). Let s be 1/((-1)/(3/(-6))). Determine j so that -s*j**3 + 1/2 - l*j**2 + 1/2*j = 0.
-1, 1
Let m(j) = -j**3 + 6*j**2 + 5*j + 17. Let h be m(7). Let p(u) be the first derivative of 8/7*u - 1/7*u**4 - 8/21*u**3 + h + 2/7*u**2. Find g such that p(g) = 0.
-2, -1, 1
Let w(s) be the second derivative of 3*s**7/14 - 8*s**6/5 + 3*s**5 + 5*s**4/2 - 23*s**3/2 + 9*s**2 - 13*s + 1. Find t such that w(t) = 0.
-1, 1/3, 1, 2, 3
Suppose 2*o + 5*z + 6 = 0, 3*o + z = 4*o - 4. Factor -9*f**2 - 10*f - 7*f**o - 8*f + 2*f**2 - 4.
-2*(f + 1)*(7*f + 2)
Let z(g) = g**4 - 73*g**3 + 352*g**2 - 575*g + 305. Let l(u) = -36*u**3 + 177*u**2 - 288*u + 153. Let j(p) = -5*l(p) + 3*z(p). Suppose j(o) = 0. What is o?
1, 2, 5
Solve 774*l**2 + 5 - l**3 - 19 - 760*l**2 + l = 0.
-1, 1, 14
Suppose 2*l = -c, -3*c = 2*c - 2*l - 36. Let x be 105/c + 2/4. Factor -3*g + 19*g**3 + 4*g - x*g**3 - 2*g**2.
g*(g - 1)**2
Let i(k) be the first derivative of -k**4/6 + 40*k**3/9 + 43*k**2/3 + 44*k/3 - 51. Find t such that i(t) = 0.
-1, 22
What is v in -1/4 - 1/8*v**2 - 3/8*v = 0?
-2, -1
Let r(l) = -3*l + 27. Suppose 3*t - 9 = 15. Let i be r(t). What is z in 0*z - 2/11*z**i - 8/11 + 6/11*z**2 = 0?
-1, 2
Let y = 265 - 183. Let p = y - 47. Factor 3*u**4 - 17*u**2 + 27 + 12*u*