**2*(l + 1)*(l + 3)**2/5
Let u(k) be the second derivative of k**5/330 - k**4/132 - 2*k**3/33 - 13*k**2 + 15*k. Let t(m) be the first derivative of u(m). Factor t(v).
2*(v - 2)*(v + 1)/11
Let q = 325/16506 + -1/262. Let t(w) be the second derivative of 0 + 1/60*w**5 - q*w**7 + 0*w**2 + 1/90*w**6 - 2*w + 0*w**4 + 0*w**3. Let t(z) = 0. What is z?
-1/2, 0, 1
Let b be (2/36)/(8/512). Let o be 2 - (3199/(-21) - -5). Factor -686/9*v**4 + 352/9*v - o*v**2 - b + 1960/9*v**3.
-2*(v - 2)*(7*v - 2)**3/9
Let x be ((-174)/(-30) + -5)/((-120)/(-18) + -6). Solve -c**3 + 11/5*c - 12/5*c**2 + x = 0.
-3, -2/5, 1
Let k(o) be the first derivative of o**6/2160 - o**5/120 + o**4/18 - 43*o**3/3 + 19. Let n(x) be the third derivative of k(x). Solve n(r) = 0 for r.
2, 4
Let a(d) be the second derivative of 0 + 0*d**2 + 18*d + 0*d**3 + 1/24*d**4 - 1/16*d**5. Suppose a(t) = 0. What is t?
0, 2/5
Let i(y) = 2*y**2. Let w be i(1). Determine t, given that 34*t - 11*t**2 - 9*t + 37*t**w - 21*t**2 = 0.
-5, 0
Let a(o) be the third derivative of o**6/360 - o**5/30 + o**4/6 - 4*o**3/9 - 7*o**2 + 3. Factor a(h).
(h - 2)**3/3
Let o(z) be the first derivative of z**5 + 25*z**4/4 - 5*z**3 - 65*z**2/2 + 50*z - 3. Let o(m) = 0. What is m?
-5, -2, 1
What is r in 0 - 10/13*r**3 + 8/13*r**2 + 2/13*r**4 + 0*r = 0?
0, 1, 4
Suppose w + 6 = d, 0 = 4*w - d + 2*d + 24. Let s(h) = h**2 + 7*h + 8. Let c be s(w). Factor -4/3 + 0*q + 1/3*q**c.
(q - 2)*(q + 2)/3
Let b = 10129/2 - 5060. Find z such that 3/8*z**4 - b*z**2 - 15/8 + 3/4*z**3 + 21/4*z = 0.
-5, 1
Let u = 1/14588 + 3712645/14588. Let n = u + -254. Factor 1/2*d + n*d**2 + 0.
d*(d + 1)/2
Suppose -36*g = -141*g + 2520. Factor -28*q**2 + 0 + g*q - 4/3*q**4 + 32/3*q**3.
-4*q*(q - 3)**2*(q - 2)/3
Suppose 1/2*a**2 - 3 - 5/2*a = 0. Calculate a.
-1, 6
Let l(y) be the third derivative of 0 - 10*y**2 - 1/15*y**5 - 4/3*y**4 + 0*y - 32/3*y**3. What is k in l(k) = 0?
-4
Let w = -318 + 32117/101. Let i = w + 209/707. Factor 2/7 + 2/7*p**3 - i*p - 2/7*p**2.
2*(p - 1)**2*(p + 1)/7
Let r(t) be the third derivative of t**9/68040 + t**8/30240 - t**7/11340 - t**6/3240 + t**4/6 - 5*t**2. Let h(w) be the second derivative of r(w). Factor h(n).
2*n*(n - 1)*(n + 1)**2/9
Determine a so that 3/4*a**3 + 3*a**2 - 33/4*a + 9/2 = 0.
-6, 1
Let q(d) = 96*d + 9. Let x be q(1). Factor -k**4 + 4*k**3 - k**4 - x*k + 2*k**2 + 101*k.
-2*k*(k - 2)*(k - 1)*(k + 1)
Solve 3/5*n**5 - 3*n**4 + 0 + 18/5*n**3 - 24/5*n + 12/5*n**2 = 0.
-1, 0, 2
What is j in 4/3*j**3 + 0 - 4/3*j**2 + 0*j = 0?
0, 1
Suppose 6 = 2*h - 32. Let j = -16 + h. Determine l, given that 0*l**3 - l**4 + 2*l**3 - l**j = 0.
0, 1
Find j, given that 1/10*j**2 + 5/2*j - 13/5 = 0.
-26, 1
Suppose 0 = -2*f + 8 + 4. Factor -140*y**2 + 0*y + f - 13*y + 142*y**2.
(y - 6)*(2*y - 1)
Let x(c) be the first derivative of 5 + 0*c + 0*c**3 + 1/90*c**5 - 1/36*c**4 - c**2. Let v(u) be the second derivative of x(u). Factor v(p).
2*p*(p - 1)/3
Let 48 - 5*p**3 - 37*p**4 + 67*p**4 - 24*p**4 - 46*p**3 + 9*p**2 + 114*p = 0. Calculate p.
-1, -1/2, 2, 8
Let t be 5 - (-180)/(-35) - 422/(-14). Let y be (1/5)/(6/t + 1). Factor 2/3*q**3 - y*q**2 + 0*q + 0.
q**2*(4*q - 1)/6
Let g(s) be the third derivative of -s**8/60480 + s**7/15120 + s**6/1080 + 7*s**5/30 + 14*s**2. Let a(w) be the third derivative of g(w). Factor a(y).
-(y - 2)*(y + 1)/3
Let h(f) = 5*f**5 - 45*f**4 - 35*f**3 + 90*f**2 + 105*f + 15. Let c(o) = -2*o**4 + o**2 + o + 1. Let t(q) = 15*c(q) - h(q). Let t(w) = 0. Calculate w.
-2, -1, 0, 3
Determine m, given that -91 + 91 - m**2 - 2*m**2 + 3*m = 0.
0, 1
Let d(f) = 8*f**2 + 12*f + 26. Let o = 75 + -79. Let r(t) = -3*t**2 - 4*t - 9. Let b(n) = o*d(n) - 11*r(n). Factor b(m).
(m - 5)*(m + 1)
Let p = -840 + 843. Factor -p - s + 3/2*s**3 + 9/4*s**2 + 1/4*s**4.
(s - 1)*(s + 2)**2*(s + 3)/4
Let c(q) be the third derivative of -q**6/300 - 2*q**5/15 + q**4/60 + 4*q**3/3 - 13*q**2. Find o such that c(o) = 0.
-20, -1, 1
Let a = 22 - 22. Suppose 3*v - 1 = 5, a = -5*m + 3*v + 14. Find p, given that 0*p**2 + 2/7*p**5 + 0 + 0*p + 4/7*p**m + 2/7*p**3 = 0.
-1, 0
Let i(h) be the first derivative of -h**9/2016 + h**8/1120 + 3*h**7/560 - h**6/48 + h**5/40 + h**3 + 12. Let a(x) be the third derivative of i(x). Factor a(w).
-3*w*(w - 1)**3*(w + 2)/2
Let l(m) = -4*m**4 - 23*m**3 - 44*m**2 - 15*m. Let i(a) = 2*a**4 + 11*a**3 + 22*a**2 + 7*a. Let y(k) = -5*i(k) - 3*l(k). Suppose y(w) = 0. Calculate w.
-5, -1, 0
Find z such that -2/19*z**5 - 62/19*z**3 + 24/19*z**2 + 0 + 64/19*z - 24/19*z**4 = 0.
-8, -4, -1, 0, 1
Let x be (-2 - 1)*(1 + -2). Let o be (-4)/(4/2) + 45/18. Factor -7/4*j**5 + 0*j - o*j**2 - 4*j**4 - 11/4*j**x + 0.
-j**2*(j + 1)**2*(7*j + 2)/4
Let m be (0/((-11 + 6)/(-5)))/(-1). Let 4/5*x + m*x**2 + 2/5 - 2/5*x**4 - 4/5*x**3 = 0. Calculate x.
-1, 1
Let v(n) be the first derivative of -n**5/20 - n**4/16 + 5*n**3/12 - 3*n**2/8 - 453. Factor v(l).
-l*(l - 1)**2*(l + 3)/4
Let d(p) be the second derivative of -p**5/8 - 15*p**4/8 - 10*p**3/3 - 145*p. Find q such that d(q) = 0.
-8, -1, 0
Let c(u) be the second derivative of 2/7*u**2 + 26*u + 2/21*u**3 - 1 - 1/35*u**5 - 1/21*u**4. Factor c(q).
-4*(q - 1)*(q + 1)**2/7
Let a(p) be the first derivative of p**3/6 + 151*p**2/2 + 22801*p/2 + 340. Factor a(l).
(l + 151)**2/2
Let n(a) = a**2 - 9*a + 12. Let w be n(8). Suppose -w*o = -5 - 7. Solve -27*f**2 - 81*f + 34 - 115 - 2*f**3 + 2*f**3 - o*f**3 = 0 for f.
-3
Let h(g) be the third derivative of g**8/504 + g**7/35 + g**6/10 - 2*g**5/45 - 2*g**4/3 + g**2. Find a such that h(a) = 0.
-6, -2, 0, 1
Let a be (1 + 30/(-28))/((-245)/2940). Find x such that -6/7*x**4 + 0*x - 2/7*x**2 + 0 - 2/7*x**5 - a*x**3 = 0.
-1, 0
Let l(a) be the second derivative of 0 + 1/6*a**4 + 3*a**2 + 4/3*a**3 - 14*a. Factor l(d).
2*(d + 1)*(d + 3)
Suppose 0 = 5*t + 405 + 315. Let s = t + 433/3. Suppose -4*a - 8/3 - 2/3*a**2 + a**3 + s*a**4 = 0. What is a?
-2, -1, 2
Let a(p) be the first derivative of -12*p**5/5 - 8*p**4 - 4*p**3/3 + 16*p**2 + 16*p + 100. Determine f, given that a(f) = 0.
-2, -1, -2/3, 1
Let y(s) = s**3 - 5*s. Suppose 5*n - 4*n = -3*t + 14, 3*n = 5*t. Let d(m) = m. Let u(c) = t*y(c) + 12*d(c). Determine p so that u(p) = 0.
-1, 0, 1
Let p(o) = -2*o**3 - 2*o**2 - o - 2. Let a be p(-2). Let q be a/6 - 56/(-21). Let 20*m**3 - 16*m**5 - 5*m**2 + 2*m**2 - 9*m**2 + 12*m**4 - q*m = 0. Calculate m.
-1, -1/4, 0, 1
Determine b, given that -16/5*b**3 - 34/5*b - 148/5*b**2 + 18/5 = 0.
-9, -1/2, 1/4
Let p(d) = 2*d + 6. Let q be p(-2). Find c such that 5*c**3 + 32*c - 7 - 7*c - 20*c**q + 4 - 7 = 0.
1, 2
Let l(i) be the second derivative of 3/20*i**5 + 0 + 3*i + 1/2*i**4 - 1/10*i**6 + 0*i**2 + 0*i**3. Factor l(v).
-3*v**2*(v - 2)*(v + 1)
Let s(c) be the second derivative of c**6/1440 - c**5/96 + c**4/16 - 3*c**3/2 - 6*c. Let w(v) be the second derivative of s(v). Factor w(g).
(g - 3)*(g - 2)/4
Let h(m) be the second derivative of -m**6/2700 + m**4/45 - 3*m**3/2 + 28*m. Let o(x) be the second derivative of h(x). Factor o(z).
-2*(z - 2)*(z + 2)/15
Let t(b) be the second derivative of -b**7/5460 + b**5/260 - b**4/78 + 5*b**3/2 - 24*b. Let g(a) be the second derivative of t(a). Solve g(o) = 0.
-2, 1
Let l(c) be the second derivative of -c**7/98 - 23*c**6/210 - 37*c**5/140 + 9*c**4/28 + 4*c**3/3 - 10*c**2/7 + 6*c - 8. Find w, given that l(w) = 0.
-5, -2, 1/3, 1
Let y(l) be the second derivative of l**5/20 - 5*l**4/4 + 25*l**3/3 - 162*l. Solve y(j) = 0 for j.
0, 5, 10
Let u(s) be the first derivative of 9 + 0*s + 0*s**2 + 4/3*s**3 - s**4. Solve u(o) = 0 for o.
0, 1
Suppose m - b = -2*m + 123, 4*m - 164 = -5*b. Factor 3*r**3 - 34*r**5 - m*r**4 + 105*r**4 + 8*r**2 + 6*r**5 - 47*r**3.
-4*r**2*(r - 1)**2*(7*r - 2)
Let p be ((-4)/(-6))/((-3)/(-9)). Suppose 3 = -30*i + 26*i + l, 2*l = 4*i + 6. Find o such that -1/7*o**p + i + 1/7*o = 0.
0, 1
Let o(w) be the first derivative of -w**8/560 + 2*w**7/175 - w**6/40 + w**5/50 - 24*w**2 - 43. Let g(q) be the second derivative of o(q). Factor g(m).
-3*m**2*(m - 2)*(m - 1)**2/5
Suppose 5*p - 4*g - g = 50, -50 = -2*p - 4*g. Let x = p + -10. Suppose x*t**2 - 1/3*t - 19/3*t**3 - 2/3 + 7/3*t**4 = 0. Calculate t.
-2/7, 1
Let t = 51 - 47. Factor -4*v**5 + 6*v**t + 6*v**5 - 18 + 6*v**3 + 18 + 2*v**2.
2*v**2*(v + 1)**3
Let m be ((-5)/(-1 - 4))/(7 - 4). Solve -c + 5/3*c*