*3 - 80*w**2 + 112*w - 51. Let g(n) = -2*n**4 + n**3 + n**2 + 1. Let x(p) = -2*g(p) - v(p). Find t such that x(t) = 0.
1, 7
Let i(s) = 16*s**3 - 36*s**2 - 28. Let w(h) = -h**3 + h**2 - h + 1. Suppose -5 - 17 = -v. Let r = v + -21. Let x(n) = r*i(n) + 20*w(n). Factor x(d).
-4*(d + 1)**2*(d + 2)
Suppose -5*i + 2*o = 3*o + 69, 2*i + 2*o + 34 = 0. Let v = i - -15. Factor -4/5 + 6/5*f**v - 2/5*f.
2*(f - 1)*(3*f + 2)/5
Let d(j) be the third derivative of -j**6/48 + 19*j**5/240 + j**4/3 + j**3/8 - 44*j**2 - 2. Determine o, given that d(o) = 0.
-1, -1/10, 3
Let l be (-614)/7675 + 306/75. Factor -4*v - 4/3 - 11/3*v**2 + v**l + 1/3*v**5 - 1/3*v**3.
(v - 2)*(v + 1)**3*(v + 2)/3
What is c in -350*c - 84 + 2*c**4 + 4*c**4 - 18*c**4 - 118*c - 579*c**2 - 207*c**3 = 0?
-14, -2, -1, -1/4
Let 117649/2 - 1/2*t**3 + 147/2*t**2 - 7203/2*t = 0. What is t?
49
Let n(v) be the third derivative of -v**6/900 - 43*v**5/150 - 1849*v**4/60 - 79507*v**3/45 + 300*v**2. Find y such that n(y) = 0.
-43
Suppose -3*p + f + 4*f - 4 = 0, -f = 4*p - 10. Let 2*j**3 + 4*j**2 - 2 - 5*j + p - j = 0. What is j?
-3, 0, 1
Let o(w) be the second derivative of 3*w**5/80 - w**4/16 - w**3/2 + 3*w**2/2 - 793*w. Factor o(q).
3*(q - 2)*(q - 1)*(q + 2)/4
Let h(f) = -5*f**2 - f. Let u be (-10)/15*18/4. Let p(b) be the second derivative of -b**4/2 - b**3/3 + b. Let t(r) = u*p(r) + 4*h(r). Factor t(j).
-2*j*(j - 1)
Let c(n) be the third derivative of 0*n**3 + 1/660*n**6 + 21*n**2 + 0 - 2/165*n**5 + 1/33*n**4 + 0*n. Suppose c(x) = 0. Calculate x.
0, 2
Let n(j) be the second derivative of 3*j**5/10 - 5*j**4/16 - 19*j**3/8 - 9*j**2/4 - 148*j. Factor n(m).
3*(m - 2)*(m + 1)*(8*m + 3)/4
Factor 24/13*w - 2/13*w**2 - 72/13.
-2*(w - 6)**2/13
Suppose d + 66 = 3*u, 2*d + u - 42 = -167. Let v be -1*(-2)/(-21) - 42/d. Factor -2/7*g**4 + 0*g - 2/7*g**2 + 0 - v*g**3.
-2*g**2*(g + 1)**2/7
Let p(w) be the first derivative of -6*w**5/35 + w**4/2 - 4*w**2/7 + 10. Solve p(c) = 0.
-2/3, 0, 1, 2
Let i = 123/2227 - -39/131. Find g such that 6/17*g**3 - 2/17*g**4 - i*g**2 + 0 + 2/17*g = 0.
0, 1
Let p(w) be the first derivative of -2*w**3/3 + 29*w**2 - 56*w - 547. Factor p(m).
-2*(m - 28)*(m - 1)
Let f(y) be the third derivative of -y**6/120 - 3*y**5/40 - y**4/4 + 2*y**3/3 - y**2. Let v(d) be the first derivative of f(d). Factor v(w).
-3*(w + 1)*(w + 2)
Let h(l) be the first derivative of l**4/7 - 2*l**2/7 + 80. What is d in h(d) = 0?
-1, 0, 1
Let m(o) = 268*o - 2408. Let d be m(9). Factor 0 + 0*b + 0*b**2 - 2/5*b**d + 0*b**3 - 4/5*b**5.
-2*b**4*(2*b + 1)/5
Suppose 3*s + y = 2, -2*s = -12*y + 17*y - 10. Let q(c) be the second derivative of s*c**2 + 0 - 1/10*c**6 - 3/10*c**5 + 1/4*c**4 + c**3 + 5*c. Factor q(l).
-3*l*(l - 1)*(l + 1)*(l + 2)
Let -3*f**3 - 645*f**2 + 646*f**2 + f**3 + 2*f - f**4 = 0. Calculate f.
-2, -1, 0, 1
Let t be (-5190)/(-1320) - (-2)/(-11). Factor 0 + t*o + 5/4*o**2.
5*o*(o + 3)/4
Factor -3/4*s**2 + 0 - 15/2*s.
-3*s*(s + 10)/4
Let q be (-29)/(-58)*(-252)/(-21). Find i, given that q - 3/2*i**2 + 0*i = 0.
-2, 2
Let a(k) = -2*k**3 + 95*k**2 - 61*k + 662. Let b be a(47). Determine g, given that -b*g**3 - 29/5*g**2 - 3/5 - 16/5*g - 4/5*g**4 = 0.
-3, -1, -1/2
Let j(y) = 7*y**3 - 10*y**2 - 7*y + 10. Let f(o) = 6*o**3 - 10*o**2 - 6*o + 10. Let x(s) = 5*f(s) - 4*j(s). Factor x(p).
2*(p - 5)*(p - 1)*(p + 1)
Let p be 48/(-108)*270/(-40). Let -4*l + 23/5*l**2 - 7/5*l**p + 4/5 = 0. What is l?
2/7, 1, 2
What is m in -480*m - 54/5*m**4 - 180*m**3 - 4038/5*m**2 - 384/5 = 0?
-8, -1/3
Let q(i) be the third derivative of -i**6/960 + 7*i**5/320 - 5*i**4/32 - 9*i**3 + i**2 - 3*i. Let d(m) be the first derivative of q(m). Factor d(b).
-3*(b - 5)*(b - 2)/8
Let p(o) = 15*o - 26. Let k be p(2). Let n(t) be the second derivative of -6*t + 1/18*t**5 + 4/27*t**3 + 0*t**2 + 1/135*t**6 + 0 + 4/27*t**k. Factor n(g).
2*g*(g + 1)*(g + 2)**2/9
Let f = 2321 - 2319. Let k(z) be the second derivative of -1/100*z**5 + 0 + 0*z**4 + 1/30*z**3 + 0*z**f + 2*z. Determine o so that k(o) = 0.
-1, 0, 1
Let y(m) be the first derivative of m**5/100 - m**4/60 - m**3/6 - 3*m**2/10 - 25*m - 41. Let k(f) be the first derivative of y(f). Factor k(v).
(v - 3)*(v + 1)**2/5
Let f(s) = -2*s**2 - 23*s - 3. Let w(j) = -j**2 - 24*j - 4. Suppose 4*k + 11 = -1. Let v(q) = k*w(q) + 4*f(q). Factor v(y).
-5*y*(y + 4)
Let q be (249/45 - 5) + (-6)/30. Let s(n) be the second derivative of -1/2*n**2 - q*n**3 + 0 + 0*n**4 + 1/30*n**6 + 1/10*n**5 + 5*n. What is f in s(f) = 0?
-1, 1
Let y(b) be the third derivative of -b**7/105 + 7*b**6/60 - 3*b**5/10 - 7*b**4/12 + 10*b**3/3 - 48*b**2. Find c, given that y(c) = 0.
-1, 1, 2, 5
Let o(q) be the third derivative of -q**7/4620 - q**6/495 - q**5/132 - q**4/66 + 8*q**3/3 + 19*q**2. Let g(s) be the first derivative of o(s). Factor g(u).
-2*(u + 1)**2*(u + 2)/11
Let x be 98/34 - 8/(-68). Factor -3*v + 8*v - 36*v**x - 10*v**2 + 31*v**3 + 10.
-5*(v - 1)*(v + 1)*(v + 2)
Suppose 4*j - 30 + 18 = 0. Factor 2*z**2 - 3*z**j + 0 + 2*z**4 - 1/2*z - 1/2*z**5.
-z*(z - 1)**4/2
Let u = -3298 - -3301. Factor 15/4*q**4 + 0 + u*q**2 + 6*q**3 + 3/4*q**5 + 0*q.
3*q**2*(q + 1)*(q + 2)**2/4
Let m = -1426/231 + 70/11. Let f(l) be the first derivative of 1/7*l**2 - m*l**3 + 3 + 1/14*l**4 + 0*l. Find w, given that f(w) = 0.
0, 1
Let s(r) = -9*r**4 - 138*r**3 - 609*r**2 - 644*r - 196. Let m = -146 - -147. Let f(b) = -b**2. Let z(t) = m*s(t) + 4*f(t). Factor z(w).
-(w + 7)**2*(3*w + 2)**2
Factor 4/7*d**2 - 496/7*d + 15376/7.
4*(d - 62)**2/7
Let p(o) be the third derivative of 0*o**3 + 0*o**4 + 0*o + 9*o**2 + 1/330*o**5 + 0 + 1/660*o**6. What is t in p(t) = 0?
-1, 0
Let k(d) = -4*d + 12. Let q be k(0). Factor q*u**2 + 8 - 12*u - 7 - 9*u**2 + 11.
3*(u - 2)**2
Let s(h) be the second derivative of 1/12*h**4 - 6*h + 1/2*h**2 + 1/3*h**3 + 0. Factor s(i).
(i + 1)**2
Suppose -s + 11 = 5. Suppose 0 = k - s + 3. Factor -6*z**3 + 9*z**4 - 5*z**5 + 4*z**k - 2*z**5.
-z**3*(z - 1)*(7*z - 2)
Let 75/2*r + 10*r**2 + 5/6*r**3 + 125/3 = 0. Calculate r.
-5, -2
Let m(k) be the second derivative of -k**4/42 + 13*k**3/21 - 22*k**2/7 - 4*k - 7. What is p in m(p) = 0?
2, 11
Let b(y) be the second derivative of -2*y**7/21 + 3*y**5/5 + 2*y**4/3 - 240*y. Factor b(t).
-4*t**2*(t - 2)*(t + 1)**2
Let h = 42062/3185 + -4/637. Suppose -h*t**4 + 92/5*t**3 + 0 - 16/5*t - 24/5*t**2 + 14/5*t**5 = 0. What is t?
-2/7, 0, 1, 2
Let f be (49 + -50)*2/(-6). Factor 2/3*i + 0 + f*i**2 - 2/3*i**3 - 1/3*i**4.
-i*(i - 1)*(i + 1)*(i + 2)/3
Let j(a) be the third derivative of -1/30*a**4 + 0*a**3 - 3/40*a**6 + 0*a + 0 - 2/25*a**5 + 37*a**2 - 1/42*a**7. Factor j(x).
-x*(x + 1)*(5*x + 2)**2/5
Solve -12*n**2 - 7*n**4 + 11*n**4 + 1475*n - 1467*n = 0.
-2, 0, 1
Let r = -2/1057 - -4246/9513. Find w such that -4/9*w**3 + 0 - r*w**2 + 4/9*w**4 + 4/9*w = 0.
-1, 0, 1
Let f = -4774 + 238709/50. Let c(z) be the second derivative of 2*z + 0*z**2 - 4/15*z**3 + 0 + 3/5*z**4 - 27/50*z**5 + f*z**6. Factor c(r).
r*(3*r - 2)**3/5
Let x be ((-40)/15)/(-1)*(-9)/(-36). Let t**3 - 1/3*t**5 - x*t**2 + 0*t**4 + 0 + 0*t = 0. Calculate t.
-2, 0, 1
Suppose 2*i - 10 = -2*z, 0*z - z - 3*i + 11 = 0. Solve -h**2 + 2*h**2 - 5*h**3 + 3*h**z + h**3 = 0 for h.
0, 1
Let w(r) = 2*r**3 + 96*r**2 - 83*r - 10. Let m(s) = -3*s**3 - 99*s**2 + 84*s + 12. Let d(x) = 5*m(x) + 6*w(x). Determine n, given that d(n) = 0.
0, 1, 26
Let p(m) be the first derivative of m**6/40 + 5*m**2 + 12. Let y(o) be the second derivative of p(o). Factor y(n).
3*n**3
Let j(a) = -3*a**2 - 2*a + 2*a**2 + 2 + 2*a**2. Let t be j(4). Let k(q) = -4*q**2 + 7*q + 1. Let n(y) = -y**2 + y. Let b(l) = t*n(l) - 2*k(l). Factor b(w).
-2*(w + 1)**2
Factor 2/11*p**5 + 76/11*p**2 + 16/11*p**4 + 50/11*p**3 + 56/11*p + 16/11.
2*(p + 1)**2*(p + 2)**3/11
Let c(z) = 8*z - 14. Let a be c(2). Factor -5 + 4*g**2 - 2*g**a - 10*g**2 + 13*g**2.
5*(g - 1)*(g + 1)
Suppose 4*t = 8*t - 80. Let y be 7/147*-6*(-6 - 1). Factor t*r**y + 6 - 22*r**2 - 4.
-2*(r - 1)*(r + 1)
Let o(j) be the second derivative of -j**6/64 - j**5/120 + 3*j**4/64 - j**3/24 - 15*j**2/2 + 9*j. Let b(z) be the first derivative of o(z). Factor b(i).
-(i + 1)*(3*i - 1)*(5*i - 2)/8
Factor 0 - 2*b**2 - 8/3*b - 1/3*b**3.
-b*(b + 2)*(b + 4)/3
What is o in -6/7*o**3 - 4/7*o**2 + 0 - 2/7*o**4 + 0*o = 0?
-2, -1, 0
Let f(t) = 2*t - 14. Let m 