olve a(g) = 0 for g.
-1, 2/7
Let a be -3*4/9*-3*1. Solve -208*c**2 + 2*c**3 - a*c - 4 + 2*c**3 + 212*c**2 = 0 for c.
-1, 1
Let i(d) be the second derivative of -d**5/4 + 5*d**4/2 - 25*d**3/6 - 30*d**2 - 269*d. Suppose i(v) = 0. What is v?
-1, 3, 4
Let w(k) = -k**2 - 66*k - 5929. Let p(s) = -11*s. Let c(b) = 40*p(b) + 5*w(b). Factor c(y).
-5*(y + 77)**2
Let c = 127 - 127. Let q(z) be the first derivative of 0*z**4 + 0*z**2 + 1/20*z**5 - 1/12*z**3 - 2 + c*z. What is p in q(p) = 0?
-1, 0, 1
Let g(h) = -h**3 - 5*h**2 - 7*h - 15. Let z be g(-4). Let q be ((-12)/56)/(z/4). Suppose -6/7*k**3 - q*k**5 - 2/7*k**2 + 0 - 6/7*k**4 + 0*k = 0. What is k?
-1, 0
Suppose -4*g + 4*l = 8, 0 = 5*g + 3*l - 2*l - 14. Factor -72*v**3 + 2*v**2 + g*v**2 + 76*v**3.
4*v**2*(v + 1)
Let x be (-9)/(-15) + (-6)/10. Let l be x + -2 - (0 + -3). Find n, given that l - 4 - 1 + 3*n**2 + n**3 = 0.
-2, 1
Let g(q) = 3*q**2 - 10*q - 6. Let d be g(5). Suppose 4*h + 11 = d. Factor -2/5*m + 6/5 - 4/5*m**h.
-2*(m - 1)*(2*m + 3)/5
Suppose -3*g + 5*u + 61 = 3*u, 3*g - 5*u - 58 = 0. Let f = -18 + g. Find l such that 2*l**5 + 3*l - 9*l**f - 40*l**4 + 13*l**2 - 18*l**5 - 5*l = 0.
-2, -1, 0, 1/4
What is a in 126*a - 5*a**2 + 251*a - 63*a + 16*a - 325 = 0?
1, 65
Let z(p) = 5*p**5 - 20*p**4 - 51*p**3 - 26*p**2 + 4*p + 4. Let o(b) = 5*b**5 - 20*b**4 - 50*b**3 - 25*b**2 + 5*b + 5. Let g(t) = -4*o(t) + 5*z(t). Factor g(j).
5*j**2*(j - 6)*(j + 1)**2
Suppose 9*x + 3/4*x**2 + 24 = 0. Calculate x.
-8, -4
Find v such that -10990*v**2 - 5994*v**2 + 16758*v**3 - 1029*v**4 - 1215 + 7454*v**2 + 8586*v - 10882*v**2 = 0.
3/7, 15
Suppose -38 + 116 = 3*v. Let y = v - 24. Factor -4*k + 4*k**3 + 19*k - 3 - 12*k**y - 9*k**2 + 5*k**3.
3*(k - 1)**2*(3*k - 1)
Let h(l) be the third derivative of -1/30*l**3 + 0*l - 1/600*l**5 + 0 + 1/80*l**4 + 12*l**2. Let h(o) = 0. Calculate o.
1, 2
Let j(o) be the third derivative of -o**9/22680 - o**8/10080 + o**7/1890 - o**4/8 + 4*o**2. Let q(x) be the second derivative of j(x). Factor q(w).
-2*w**2*(w - 1)*(w + 2)/3
Let v(r) = r**3 + r**2 + r - 45. Let q be v(0). Let s = 137/3 + q. Suppose -2/3*g**4 + 1/3*g**3 - 1/3*g**5 + 0*g + s*g**2 + 0 = 0. What is g?
-2, -1, 0, 1
Let i = -193 + 205. Suppose 0 = i*h + 3*h. Factor -2/5*f + 2/5*f**2 + h.
2*f*(f - 1)/5
Suppose 2*c + 2 - 5 = -s, -2*s - 5*c = -6. Factor 5/3*b**s + 0 + 0*b + 5/3*b**2.
5*b**2*(b + 1)/3
Let p(g) = g**2 - g + 2. Let l be p(3). Let t = 10 - l. Solve -3*f - 9*f + 3*f**t + 14 + 2 - 4 = 0.
2
Suppose j + 2*j = 615. Factor 2*c**2 - 12*c**4 - 201*c**5 - 2*c**2 + j*c**5.
4*c**4*(c - 3)
Let s(o) be the first derivative of -4*o**3/3 + 988*o**2 - 244036*o + 358. Factor s(f).
-4*(f - 247)**2
Let l(j) be the first derivative of -1 + 1/3*j**3 - 1/480*j**6 - 7/2*j**2 - 1/8*j**4 + 1/40*j**5 + 0*j. Let o(i) be the second derivative of l(i). Factor o(k).
-(k - 2)**3/4
Let r be (-162)/(-34) - ((0/(-9))/6 + 3). Factor -26/17*w + r*w**2 - 14/17*w**3 + 8/17 + 2/17*w**4.
2*(w - 4)*(w - 1)**3/17
Let u(h) be the second derivative of -h**6/90 + 13*h**5/15 - 121*h**4/6 + 650*h**3/9 - 625*h**2/6 + 162*h. Suppose u(w) = 0. What is w?
1, 25
Let j = 9 - 7. Suppose 3*f + j*m - 12 = f, 5*f - 3 = 4*m. Factor f*y**3 + y - 3*y - y.
3*y*(y - 1)*(y + 1)
Let l be (-12)/18*3*-1. Let j(v) be the third derivative of v**l + 0 + 1/120*v**5 + 0*v + 1/48*v**4 + 0*v**3. Factor j(a).
a*(a + 1)/2
Suppose 6 + 17*z**2 + 53/3*z + 5*z**3 - 1/3*z**4 = 0. What is z?
-1, 18
Let l(b) = 10*b**4 - 6*b**3 + 2*b**2 - 6*b + 6. Let n(k) = -22*k**4 + 12*k**3 - 5*k**2 + 13*k - 13. Let r(a) = -13*l(a) - 6*n(a). Factor r(d).
2*d**2*(d + 1)*(d + 2)
Let u be 6/(-11)*(5 + 119/(-21)). Determine v so that 2/11*v + u - 2/11*v**2 = 0.
-1, 2
Let v(t) be the second derivative of -t**7/168 - t**6/120 + t**5/40 + 3*t + 22. Factor v(d).
-d**3*(d - 1)*(d + 2)/4
Factor 13*c**2 - 491 + 3*c**2 - 4*c**3 + 491.
-4*c**2*(c - 4)
Suppose -5*r + 0*k + 43 = k, 0 = -3*k - 6. Let l be 14/8 - (-18)/r - 3. Suppose -3/2*s**5 + l + 9/4*s**4 - 3*s**2 + 0*s + 3/2*s**3 = 0. Calculate s.
-1, -1/2, 1
Let q(z) be the first derivative of z**4/2 - 2*z**3/3 - 17*z**2 - 30*z + 217. Find f, given that q(f) = 0.
-3, -1, 5
Let j(z) be the second derivative of -z**4/30 - 11*z**3/15 + 12*z**2/5 - 3*z - 32. Find y, given that j(y) = 0.
-12, 1
Factor -3*n**2 + 0*n**2 + 2*n**2 + 4 - 3*n**2.
-4*(n - 1)*(n + 1)
Let w(d) = 2*d**2 + 4*d**2 + 0*d**2 + 6*d - 6*d**3 + 7*d**3 + 5. Let b be w(-5). Determine i, given that 0*i + b + 0*i**3 - 2/3*i**2 + 2/3*i**4 = 0.
-1, 0, 1
Let n be (2 + (-28)/12)/((-6)/54). Let 2/5*d**4 - 14/5*d**n + 0 + 6*d**2 - 18/5*d = 0. Calculate d.
0, 1, 3
Let g = 138 + -135. Find h, given that 10 + 2*h**3 + g*h**3 - 9*h**2 + 24*h**2 - 30 = 0.
-2, 1
Let m(b) be the second derivative of 25/42*b**7 + 4/3*b**6 - 21*b - 10/3*b**4 - 9/4*b**5 + 10/3*b**3 + 0*b**2 + 0. Find c such that m(c) = 0.
-2, -1, 0, 2/5, 1
Let l be 20/234 + (-88)/(-396). Find k such that l*k - 2/13*k**2 + 6/13 = 0.
-1, 3
Let o(z) = z**3 + 10*z**2 - 16*z - 43. Let b be o(-11). Let q be 2*(-9 + -1)*b/(-48). Factor 0 - 1/6*f**q + 5/6*f**4 + 0*f - 3/2*f**2 - 1/2*f**3.
-f**2*(f - 3)**2*(f + 1)/6
Let b(w) be the third derivative of -w**8/3696 - w**7/330 - w**6/120 - w**5/132 - 52*w**2 + 2. Factor b(h).
-h**2*(h + 1)**2*(h + 5)/11
Find h, given that 28/9*h + 8/9*h**4 - 16/9 + 8/9*h**2 - 32/9*h**3 + 4/9*h**5 = 0.
-4, -1, 1
Let i(f) be the third derivative of f**6/300 + 2*f**5/75 + f**4/12 + 2*f**3/15 - 32*f**2. Factor i(r).
2*(r + 1)**2*(r + 2)/5
Let u(t) be the first derivative of -t**3 - t**2 + t + 26. Find n such that u(n) = 0.
-1, 1/3
Factor 0 + 1/2*j**4 - 2*j - 7/2*j**2 - j**3.
j*(j - 4)*(j + 1)**2/2
Let v(f) be the second derivative of -f**6/10 + 79*f**5/20 + 55*f**4/12 - 9*f**3/2 - 269*f. What is w in v(w) = 0?
-1, 0, 1/3, 27
Let j = 777 - 768. Let a(x) be the third derivative of 0 + 4/3*x**3 + 1/120*x**5 - 1/6*x**4 + 0*x - j*x**2. Factor a(t).
(t - 4)**2/2
Let b(k) be the third derivative of -k**5/15 - 11*k**4/6 - 20*k**3/3 + 13*k**2 - 2. Solve b(h) = 0 for h.
-10, -1
Let x be (3/(-2))/(2/(-4)*1). Let m be (1 - 19/x)*(-49)/84. Determine w so that m*w - 2/9 - 98/9*w**2 = 0.
1/7
Suppose 11*j - 12 = 21. Suppose -2*w = -6*w + 4*m + 20, 0 = -3*w - 3*m + j. Factor -w - 9/2*u - 3/2*u**2.
-3*(u + 1)*(u + 2)/2
Let p(k) be the first derivative of -3*k**4/4 - 4*k**3 + 21*k**2/2 + 30*k - 125. What is f in p(f) = 0?
-5, -1, 2
Let n(s) be the third derivative of 25*s**8/2016 + 19*s**7/63 - 76*s**6/45 + 98*s**5/45 - s**4 - 9*s**2 - 11. Solve n(h) = 0.
-18, 0, 2/5, 2
Let c(o) be the first derivative of 3*o**5/5 - 3*o**4/2 - 21. Factor c(i).
3*i**3*(i - 2)
Let x(f) be the first derivative of -f**3 + 105*f**2 - 3675*f - 59. What is j in x(j) = 0?
35
Suppose r = 2*r - 2. Find k, given that k**3 + 0*k**r + 5*k**3 - k**3 - 5*k**2 = 0.
0, 1
Suppose -5*c = -64 - 6. Let -p**4 + 20*p**3 + 6*p - 8*p - 4*p**5 + 5*p**2 - c*p + 4 - 8 = 0. What is p?
-2, -1, -1/4, 1, 2
Suppose 4*o - 44 = -16*v, 2*v - 17 = -3*o - 4. Solve 4 - 4/3*a - 32/9*a**2 + 16/9*a**o = 0.
-1, 3/2
Let x = 43 + -79. Let g be (-104)/(-18) - 8/x. Factor -3*p**3 - g + 4*p**3 + 4*p**3 - 9*p - 2*p**3.
3*(p - 2)*(p + 1)**2
Let p be 35/30 - (-323)/(-342). Find v such that p*v**2 - 2/9 + 2/9*v - 2/9*v**3 = 0.
-1, 1
Factor 0 + 1/2*g**2 - 5/2*g.
g*(g - 5)/2
Let t = 13 + -8. Suppose -3*o + 33 = 4*w, 4*o = 8*o - 3*w + 6. Determine z, given that t*z - 1/2*z**4 - 6*z**2 - 3/2 + 3*z**o = 0.
1, 3
Let z = -21 - -25. Factor 19*q**2 + 3*q - q**4 + 10*q**4 + q - z + 6*q**4 - 34*q**3.
(q - 1)**2*(3*q - 2)*(5*q + 2)
Suppose 3*q + 2*q + 5*m - 5 = 0, 2*q - 2*m = 18. Suppose 10 = q*n - 0. Determine y, given that 0*y + 3*y**2 + 3*y**2 - 7*y**n - 2*y = 0.
-2, 0
Let g(f) = 12*f**2 - 22*f. Let y(m) = 13*m**2 - 22*m - 2. Let j(r) = -5*r + 6. Let q be j(0). Let c(l) = q*g(l) - 4*y(l). Factor c(v).
4*(v - 2)*(5*v - 1)
Determine i so that -3*i**5 + 0 - 15*i**2 + 18/5*i + 81/5*i**3 - 9/5*i**4 = 0.
-3, 0, 2/5, 1
Let c be ((-36)/(-192)*-36)/(-3). Let -c*r - 3*r**2 - r**3 - 1/2 = 0. Calculate r.
-2, -1/2
Let p(v) = 4*v**2 - 5*v**2 + 2*v - v**2. Suppose 6*b - b + 5*m = 30, 0 = 4*b - 5*m + 3. Let u(s) = -2*s**2 + 3*s - 1. Let n(d) = b*p(d) - 2*u(d). Factor n(i).
-2*(i - 1)*(i + 1)
Let q = 133 - 87. Let l be (12/21)/(-3 - q/(-14)). Suppose -2/9