3*o**2 - o. Determine c so that p(c) = 0.
0, 2, 19
Let l(n) = n**2 + 51*n + 519. Let g(t) = t**2 + 50*t + 521. Let a(u) = 5*g(u) - 4*l(u). Factor a(z).
(z + 23)**2
Let f(h) = 2*h**3 + 70*h**2 + 576*h - 643. Let s(q) = -6*q**3 - 210*q**2 - 1728*q + 1928. Let a(i) = 16*f(i) + 5*s(i). Factor a(r).
2*(r - 1)*(r + 18)**2
Factor 2131*c - 32*c**2 + 4*c**5 + 12*c**4 - 2131*c - 24*c**3.
4*c**2*(c - 2)*(c + 1)*(c + 4)
Let k(p) = -4*p - 3 + 0*p**2 - 5*p**2 - 3*p + 7. Let b(u) = -11*u**2 - 15*u + 9. Let s(o) = 6*b(o) - 13*k(o). Factor s(v).
-(v - 2)*(v + 1)
Let z(q) = q**2 - q - 40. Let c be z(7). Let 2/7 - 2/7*t - 10/7*t**c - 6/7*t**3 = 0. What is t?
-1, 1/3
What is r in -3340*r**4 - 37780320*r**2 - 6*r**5 - 1854800/3*r**3 + 51202080*r - 17159616 = 0?
-186, 2/3
Let y be 68/(-85) - (-1)/(-5) - -5. Determine x, given that -336*x - 4*x**4 - 14*x**3 + 318*x - 30*x**2 + 2*x**y = 0.
-3, -1, 0
Let b(x) be the third derivative of x**5/210 - 17*x**4/84 - 4*x**3 - 97*x**2 - 4. What is c in b(c) = 0?
-4, 21
Let x(j) be the third derivative of -j**5/110 - 13*j**4/132 - 14*j**3/33 + 3*j**2 + 108*j. What is f in x(f) = 0?
-7/3, -2
Solve 2*y**2 - 70 - 6*y**2 + 8*y**2 - 180*y - 114 = 0.
-1, 46
Let p be (-287)/(-280) - (0 - (-2 - -1)). Let r(o) be the second derivative of 0 + 1/12*o**4 - 4*o - 1/20*o**6 + 0*o**3 - p*o**5 + 0*o**2. Factor r(a).
-a**2*(a + 1)*(3*a - 2)/2
Suppose 4*g - 8 = 16. Let o = -2 + g. Factor -1 - o + 5 + 8*y**2 - 2 - 6*y.
2*(y - 1)*(4*y + 1)
Factor 28/11*q - 2/11*q**2 - 48/11.
-2*(q - 12)*(q - 2)/11
Let s(i) be the first derivative of 0*i - 2/11*i**2 + 2/33*i**3 - 15. Factor s(h).
2*h*(h - 2)/11
Factor 31/4*c**3 + 0*c - 1/4*c**4 + 0 + 0*c**2.
-c**3*(c - 31)/4
Solve -54 - 2*x + 14*x + 6*x**2 + 63 - 3*x**2 = 0 for x.
-3, -1
Let c(w) = 28*w + 1682. Let f be c(-60). Suppose 2/7*l**4 + 0 - 6/7*l**3 + 4/7*l**f + 0*l = 0. Calculate l.
0, 1, 2
Let c(h) = 332*h**2 - 320*h - 8. Let o(u) = -u. Let k(n) = c(n) + 4*o(n). Factor k(i).
4*(i - 1)*(83*i + 2)
Let u(c) be the first derivative of 20/3*c**2 + 16/3*c + 7/6*c**4 + 2/15*c**5 - 3 + 4*c**3. Factor u(q).
2*(q + 1)*(q + 2)**3/3
Factor -314*f**2 + 165*f**2 + 3*f**3 + 6*f - 2*f**4 - f**3 + 159*f**2.
-2*f*(f - 3)*(f + 1)**2
Let b(z) be the second derivative of -z**4/12 + 2*z**3/3 + 30*z**2 - 24*z - 6. Determine i, given that b(i) = 0.
-6, 10
Let l(t) = 5*t**2 + 9*t + t - t - 2 + 6. Let i(j) = -j**2 + 1. Let a(w) = -2*i(w) - l(w). Find o, given that a(o) = 0.
-2, -1
Suppose -93 = 2*o - 7. Let k = -77/2 - o. Let -3/2*g**2 - k - 6*g = 0. Calculate g.
-3, -1
Factor 8 - 2/5*f**2 + 16/5*f.
-2*(f - 10)*(f + 2)/5
Factor -4/3*r**2 - 588 - 56*r.
-4*(r + 21)**2/3
Let s(w) = 2*w**2 + w - w**2 - 2*w. Let m(j) = -6*j**2 + 4*j. Let d = -53 - -52. Let n(g) = d*m(g) - 4*s(g). Factor n(y).
2*y**2
Let y(z) be the third derivative of 2*z**7/945 + z**6/90 + z**5/135 - z**4/18 - 4*z**3/27 + 9*z**2 - 2. What is n in y(n) = 0?
-2, -1, 1
Let d(u) = 3*u**3 + 11*u**2 + 6*u. Suppose 0 = -21*f + 9*f - 12. Let g(p) = p**2. Let y(l) = f*d(l) + 2*g(l). Factor y(i).
-3*i*(i + 1)*(i + 2)
Let u be 4/(-14) - 1254/(-2772). Let c(s) be the second derivative of u*s**4 + 0 + 9*s**2 - 2*s**3 - 4*s. Factor c(j).
2*(j - 3)**2
Let o = -7 - -12. Suppose -21 = -2*t - 5*d, -28*d - 24 = -3*t - 33*d. Factor -2*p - 3*p**2 - 4*p**o - 2*p**t + 3*p**3 + 5*p**5 + 3*p**4.
p*(p - 1)*(p + 1)**2*(p + 2)
Let m be 3/(-182)*-3*(-316)/(-36). Let k = m - -6/91. Determine x, given that 1/2*x**3 - k*x - 1/2 + 1/2*x**2 = 0.
-1, 1
Let q(s) = -s**3 - 56*s**2 - 106*s + 110. Let j be q(-54). Solve 1/3*c + 0 + 1/3*c**j = 0.
-1, 0
Let q(b) be the first derivative of -b**6/3 - 18*b**5/5 - 11*b**4 + 32*b**2 - 81. Determine o so that q(o) = 0.
-4, -2, 0, 1
Let f(s) be the third derivative of 0 + 0*s + 1/60*s**6 + 2/3*s**3 - 3*s**2 - 1/6*s**4 + 1/210*s**7 - 1/20*s**5. Factor f(l).
(l - 1)**2*(l + 2)**2
Let m = 2/8833 + 8829/17666. Factor -m*n**2 - 1/2*n**4 - 3/2*n**3 + 3/2*n + 1.
-(n - 1)*(n + 1)**2*(n + 2)/2
Suppose -28/13*j**4 - 2/13*j**5 + 28/13*j**2 - 64/13*j + 66/13*j**3 + 0 = 0. What is j?
-16, -1, 0, 1, 2
Suppose -5*m - 3*b = -23, -7*m + 9*m - 6 = 2*b. Let j(i) be the first derivative of i**2 + 1 + 2/3*i**3 + 2/3*i + 1/6*i**m. Find p, given that j(p) = 0.
-1
Let u be 60/14 + 2/(-7). Factor -2*j**u + 25*j**5 - j**4 - 22*j**5.
3*j**4*(j - 1)
Let l(b) be the second derivative of 5*b**5/4 + 10*b**4/3 + 5*b**3/6 - 5*b**2 + 55*b + 1. Let l(f) = 0. Calculate f.
-1, 2/5
Let o(b) be the first derivative of b**9/4536 + b**8/840 + b**7/420 + b**6/540 - 28*b**3/3 + 19. Let a(z) be the third derivative of o(z). Factor a(v).
2*v**2*(v + 1)**3/3
Determine h so that 80*h - 80*h - 4*h**4 + 8*h**4 + 24*h**3 + 20*h**2 = 0.
-5, -1, 0
Let w(a) be the first derivative of a**5/15 + 7*a**4/12 + 16*a**3/9 + 2*a**2 + 269. Suppose w(v) = 0. What is v?
-3, -2, 0
Let o(i) be the third derivative of -i**8/47040 + i**7/5880 + 13*i**4/24 + 21*i**2. Let g(r) be the second derivative of o(r). Find z, given that g(z) = 0.
0, 3
Let a(l) be the second derivative of -1/12*l**4 - 4/3*l**3 + 0 - 8*l**2 - 5*l. What is w in a(w) = 0?
-4
Find j such that -20/7*j - 24/7*j**2 + 24/7 + 12/7*j**3 + 8/7*j**4 = 0.
-2, -3/2, 1
Let k = 194 - 86. Solve l**3 - 2 + 218 + 17*l**2 + l**2 - k*l - 2*l**3 = 0 for l.
6
Let b be ((-63)/(-42))/(6/16). Find r such that -2*r + r + 2*r**2 - 3*r**2 + b*r = 0.
0, 3
Let i(y) be the third derivative of -y**6/30 + 13*y**5/5 - y**2 + 23*y. What is x in i(x) = 0?
0, 39
Suppose 15 = f + 14, -b - f = -3. Let k(y) be the second derivative of 0*y**b - 10*y + 0 + 1/60*y**4 + 1/15*y**3 - 1/100*y**5. Factor k(a).
-a*(a - 2)*(a + 1)/5
Suppose 38/9*n**2 - 4/3*n**3 - 10/3 + 4/9*n = 0. Calculate n.
-5/6, 1, 3
Let a(x) be the second derivative of 1/50*x**6 + 14/15*x**3 - 7/100*x**5 + 12*x + 0 - 1/6*x**4 - 4/5*x**2. Factor a(g).
(g - 2)**2*(g + 2)*(3*g - 1)/5
Let c(n) be the second derivative of -2/5*n**2 - n**4 - 23*n + 13/25*n**5 + 14/15*n**3 - 8/75*n**6 + 0. Let c(z) = 0. Calculate z.
1/4, 1
Let z(v) be the second derivative of v**5/20 - v**4/12 - v**3 - 72*v. Find k such that z(k) = 0.
-2, 0, 3
Let q = 512/21 - 166/7. Let j(p) be the second derivative of q*p**3 + p**2 - 4*p + 0 + 1/6*p**4. Solve j(n) = 0 for n.
-1
Let x(q) = 5*q**3 - 120*q**2 + 205*q - 105. Let u(o) = -3*o**3 + 60*o**2 - 103*o + 52. Let n(y) = 5*u(y) + 2*x(y). Factor n(m).
-5*(m - 10)*(m - 1)**2
Let q(p) be the third derivative of 0*p**4 + 0*p - 1/100*p**5 - 1/50*p**6 + 0*p**3 + 0 + 10*p**2. Factor q(j).
-3*j**2*(4*j + 1)/5
Suppose t + 4*v = -t + 68, 28 = t + 4*v. Solve 410*k + 155*k**4 + 1240*k**3 - t - 1097*k**2 - 238*k**2 + 245*k**4 = 0 for k.
-4, 1/4, 2/5
Let q be (-12 + 12)/(-2 + 1). Factor 2/13*h**2 + 0 + q*h.
2*h**2/13
Let h(i) = -3*i**2 - 116*i + 42. Let a be h(-39). Let -2/3*s + 5/3*s**2 + 1/3*s**5 + 0 - 1/3*s**4 - s**a = 0. What is s?
-2, 0, 1
Let c(z) = -z**3 - 1. Let p(r) = 4*r**3 - 14*r**4 - r**2 + r**2 + 10*r**4 + 12. Let j(l) = 12*c(l) + p(l). Solve j(d) = 0.
-2, 0
Let o(r) be the first derivative of 16/27*r**3 - 5/18*r**4 - 4 - 4/9*r**2 + 2/45*r**5 + 0*r. Suppose o(z) = 0. Calculate z.
0, 1, 2
Suppose 2*i + 1 = 5*m, 0*m + 4*m = -2*i + 8. Suppose -5*t + 4 = -2*n, 0*t = i*t + 5*n - 19. Suppose 0 - 3/2*v**2 + 1/2*v - t*v**3 = 0. What is v?
-1, 0, 1/4
Suppose p + 86 = 3*q, 3*q - 33 = 3*p + 57. Suppose -2*n = 2*y - 12, -y + q = 4*n + y. Determine d, given that 3*d**2 - n - 7*d**2 - 4 + 0 + 16*d = 0.
1, 3
Let w be (7 - (-258)/(-36))/(14/(-8)). Let h(j) be the second derivative of -8*j + 0 - 13/84*j**4 + w*j**3 + 2/7*j**2 + 1/28*j**5. Solve h(f) = 0.
-2/5, 1, 2
Let h(c) be the second derivative of -4*c**6/35 - 142*c**5/35 - 4897*c**4/126 + 568*c**3/21 - 48*c**2/7 - 17*c - 3. Factor h(z).
-2*(z + 12)**2*(6*z - 1)**2/21
Factor 144*s - 5*s**2 - 164*s + 5*s**3 + 40 - 5*s**2.
5*(s - 2)**2*(s + 2)
Let m(k) = -k**3 + 11*k**2 - 29*k - 6. Let i be m(6). Let l(w) = -w**2 - 5*w + 2. Let p be l(-5). Solve -6/5*z**3 + 0 + 0*z**4 + 3/5*z + 3/5*z**5 + i*z**p = 0.
-1, 0, 1
Suppose 5*y = -7 + 17. Factor -3*h + 0 - 2 - 6*h**y + 7*h**2 - 2.
(h - 4)*(h + 1)
Let j be (-7)/((-7)/3)*1. Suppose -j*l + 13 - 7 = 0. Let 6/11*x**l + 0 - 2/11*x = 0. What is x?
0, 1/3
Let m = -104 - -148. Let s = m - 42. What is l in -1/5*l + 4/5*l**4 - 6/5*l**3 + 4/5*l**s - 