*3 - 2*y**5 = 0.
0, 2/11, 1, 16
Suppose 0 = -5*s - 10, -2*q + 26 = -s + 3*s. Suppose -n - q = -4*n. Find b such that 4*b**2 + b + 24*b**3 + 4*b**n + 12*b**2 + 16*b**4 + 0*b**5 + 3*b = 0.
-1, 0
Let q(g) be the first derivative of g**6/30 - 3*g**5/10 + 2*g**4/3 + g**3 - 9*g**2/2 + 6*g - 2. Let a(t) be the first derivative of q(t). Factor a(o).
(o - 3)**2*(o - 1)*(o + 1)
Suppose -71*z - 21 = -3*o - 75*z, 2*z - 9 = -o. Factor -80/3*m**o - 16/3*m**5 + 0 + 16/3*m**2 + 0*m + 68/3*m**4.
-4*m**2*(m - 2)**2*(4*m - 1)/3
Let c(n) be the first derivative of -1/25*n**5 + 1/10*n**4 + 7 + 0*n**2 + 0*n - 1/15*n**3. Suppose c(g) = 0. Calculate g.
0, 1
Let -u**3 + 0*u - 7/8*u**4 + 0 + 1/2*u**2 + 5/8*u**5 = 0. What is u?
-1, 0, 2/5, 2
Let q(o) be the third derivative of -o**9/12096 + o**7/336 - o**6/72 - 11*o**5/60 - 7*o**2. Let y(j) be the third derivative of q(j). Factor y(w).
-5*(w - 1)**2*(w + 2)
Let p(c) be the first derivative of c**4/4 - 26*c**3/15 + 7*c**2/2 - 6*c/5 + 46. Find a, given that p(a) = 0.
1/5, 2, 3
Let f(m) = -5*m**2 - 2*m + 7. Let r(i) be the third derivative of i**5/10 + i**4/12 - 4*i**3/3 - 17*i**2. Let j(q) = -4*f(q) - 3*r(q). Factor j(t).
2*(t - 1)*(t + 2)
Let s be (4/16)/((-24)/(-32)). Suppose -8/3*q**3 + s*q**4 - 32/3*q + 16/3 + 8*q**2 = 0. What is q?
2
Let c(x) = 5*x**3 - 105*x**2 - 5*x - 20. Let i(r) = 7*r**3 - 104*r**2 - 6*r - 24. Let q(w) = -6*c(w) + 5*i(w). Factor q(j).
5*j**2*(j + 22)
Let j(u) be the second derivative of 0 - 1/84*u**4 + 0*u**2 + 1/42*u**3 - 15*u. Factor j(x).
-x*(x - 1)/7
Suppose -2*s = i + 5, -17 = -0*i + 4*i + 5*s. Let x be 1/(-6)*i - 5/20. Factor x*k - 1/2 + 1/4*k**2.
(k - 1)*(k + 2)/4
Factor 0 + 10/3*k**3 + 2/9*k**4 - 104/9*k**2 + 8*k.
2*k*(k - 2)*(k - 1)*(k + 18)/9
Suppose -t - 4 = j, 4*t + 0*t + 1 = j. Let q(v) = -4*v**2 - 8*v - 3. Let b(f) = 4*f**2 + 8*f + 2. Let h(x) = j*b(x) - 2*q(x). Let h(r) = 0. What is r?
-2, 0
Let a be (860/12)/(-5) - 1/(-3). Let f be (1/3)/((-7)/a). Factor 2/3*u**4 + f*u - 4/3*u**3 + 2/3 + 2/3*u**5 - 4/3*u**2.
2*(u - 1)**2*(u + 1)**3/3
Let v(d) = -18*d + 21. Let m be v(1). Let r(k) be the second derivative of -1/3*k**m + 1/21*k**7 - 1/3*k**4 + 0*k**5 + k + 2/15*k**6 + 0*k**2 + 0. Factor r(h).
2*h*(h - 1)*(h + 1)**3
Let p(j) = -j**2 - 52*j + 341. Let m(h) = 8*h**2 + 468*h - 3068. Let i(v) = 6*m(v) + 52*p(v). Factor i(d).
-4*(d - 13)**2
Let m(r) be the second derivative of -1/14*r**3 - 1/35*r**6 + 3/140*r**5 + 0 + 10*r + 0*r**2 + 1/14*r**4. Suppose m(w) = 0. What is w?
-1, 0, 1/2, 1
Let o be 48/104*13/9. Determine j so that 2/9*j + o*j**2 - 4/9 = 0.
-1, 2/3
Let i(f) = -5*f**3 + f. Let n(v) = 16*v**3 + 14*v**2 + 62*v + 100. Let d(j) = 3*i(j) + n(j). Solve d(b) = 0.
-5, -4
Let m = 1720/2541 + -142/363. Factor 2/7*y**3 + 32/7 - 24/7*y**2 + 8/7*y + m*y**4.
2*(y - 2)**2*(y + 1)*(y + 4)/7
Let c(a) = 36*a**2 + 36*a. Let h(p) = p**3 - 73*p**2 - 74*p. Let f(u) = -7*c(u) - 3*h(u). Find z such that f(z) = 0.
-10, -1, 0
Let z(d) = 4*d**2 + 32*d + 37. Let f(w) = 18*w**2 + 160*w + 184. Let j(u) = -6*f(u) + 28*z(u). Factor j(r).
4*(r - 17)*(r + 1)
Let o(h) = 2*h - 41. Let j be o(22). Let b(d) be the third derivative of 0 + 1/168*d**4 + 0*d + j*d**2 + 0*d**3 - 1/840*d**6 + 0*d**5. Solve b(p) = 0.
-1, 0, 1
Let y(h) be the first derivative of 49*h**6/6 + 21*h**5/5 - 55*h**4 - 80*h**3/3 + 48*h**2 - 16*h + 85. Solve y(d) = 0.
-2, -1, 2/7, 2
Let f = -11/5 - -38/15. Let t(i) be the second derivative of 0 + 1/9*i**3 - 1/24*i**4 + 1/180*i**6 + f*i**2 - 1/60*i**5 + 5*i. Factor t(c).
(c - 2)**2*(c + 1)**2/6
Let c(z) be the first derivative of z**4/8 - 11*z**3/4 + 43*z**2/8 + 15*z/2 - 330. Suppose c(s) = 0. What is s?
-1/2, 2, 15
Factor 64*o**3 + 284*o**2 + 4*o**4 + 103 - 371 + 65 + 224*o - 373.
4*(o - 1)*(o + 4)**2*(o + 9)
Let t(a) = a**3 + a. Let b be t(1). Suppose -2 + 2*z**2 + b - 4*z = 0. What is z?
0, 2
Determine i, given that -1/4*i**3 - 1/2*i**2 + 1/2 + 1/4*i = 0.
-2, -1, 1
Let a(g) be the second derivative of -1/7*g**2 + 0 + 33*g - 1/70*g**5 + 1/42*g**4 + 1/21*g**3. Determine m, given that a(m) = 0.
-1, 1
Let r be 6*(-7)/(56/(-12)). Suppose r*y - 8*y = 7. Let -15*w**3 - 10 + 4*w + 3*w**2 + 10*w + y*w**2 + w = 0. Calculate w.
-1, 2/3, 1
Let -58/7*h**2 + 72/7 + 2/7*h**3 + 10/7*h**4 - 2/7*h**5 + 24/7*h = 0. Calculate h.
-2, -1, 2, 3
Let o = -9 + -2. Let h = 13 + o. Factor 25*b**h + 2*b**5 + b**5 - 3*b - 31*b**2 + 6*b**4.
3*b*(b - 1)*(b + 1)**3
Let q(w) be the second derivative of -1/84*w**4 - 6*w + 1/210*w**6 - 1/42*w**3 + 1/140*w**5 + 0 + 0*w**2. Factor q(y).
y*(y - 1)*(y + 1)**2/7
Let n(r) = r**3 - 2*r**2 - r + 7. Let a be n(0). What is k in -6*k**3 + 47*k**5 + 2*k**4 - 46*k**5 - 8*k**2 - 3*k - 1 + a + 8*k = 0?
-3, -1, 1, 2
Let q = 10/19 + -12/95. Let u be (-140)/(-2030) + (-154)/(-290). Factor 0 + 0*m + u*m**5 - 1/5*m**3 + 0*m**2 + q*m**4.
m**3*(m + 1)*(3*m - 1)/5
Let m(n) be the second derivative of n**4/4 - n**3/2 - 3*n**2 + 3*n. Let x(l) = l**2 - 1. Let a(j) = m(j) - 6*x(j). Suppose a(b) = 0. What is b?
-1, 0
Let -2/25 - 2/25*f**5 + 6/25*f**4 + 6/25*f - 4/25*f**2 - 4/25*f**3 = 0. What is f?
-1, 1
Let u be 8/14 + -2*(-10)/(-20)*0. Suppose -10/7*x**5 + u + 18/7*x - 8/7*x**3 + 20/7*x**2 - 24/7*x**4 = 0. Calculate x.
-1, -2/5, 1
Solve 4/3*w**4 - 80*w + 112/3 - 16*w**3 + 172/3*w**2 = 0 for w.
1, 2, 7
Let u(i) = 4*i**3 - 55*i**2 - 85*i + 118. Let p(h) = 2*h**3 - 28*h**2 - 42*h + 60. Let v(z) = -9*p(z) + 4*u(z). Solve v(m) = 0 for m.
-2, 1, 17
Let w(r) be the first derivative of 1/105*r**5 - 1/84*r**4 + 1/140*r**6 + 5 + 0*r**3 + 0*r + 2*r**2. Let g(k) be the second derivative of w(k). Factor g(l).
2*l*(l + 1)*(3*l - 1)/7
Let c = -67 - -39. Let g(y) = 16*y**3 - 6*y**2 - 6*y. Let k(l) = l**3 - l**2 - l. Let z(t) = c*k(t) + 2*g(t). Determine d so that z(d) = 0.
-2, 0
Let d = 5140/3 - 1712. Let q(s) be the second derivative of 11*s + 5/3*s**4 + 0*s**2 + 0 - d*s**3 - 3/5*s**5. Find n, given that q(n) = 0.
0, 2/3, 1
Let w(h) be the third derivative of -h**5/8 + 303*h**4/16 + 61*h**3/2 - 390*h**2 + 2*h. Factor w(s).
-3*(s - 61)*(5*s + 2)/2
Let d be ((-9)/30)/(((-135)/210)/((-12)/(-14))). Find x such that -d*x**5 + 0 + 2/5*x**3 - 4/5*x**4 + 4/5*x**2 + 0*x = 0.
-2, -1, 0, 1
Let f be (5/(-4))/((-2)/(-16)). Let z be (-34)/(-4) - 5/f. Factor -2 + 5 - 2*v**2 - 9*v**3 + z*v - v**2.
-3*(v - 1)*(v + 1)*(3*v + 1)
Let h(d) be the first derivative of d**6/120 + d**5/150 - d**4/24 - d**3/15 + 3*d**2 + 6. Let m(c) be the second derivative of h(c). Factor m(r).
(r - 1)*(r + 1)*(5*r + 2)/5
Let g be (-5 + 4)/((-1)/83). What is a in 53 - 5*a**4 - 5*a**3 - g - 30*a**3 - 85*a - 85*a**2 = 0?
-3, -2, -1
Let t(l) = 10*l**3 + 58*l**2 + 66*l + 10. Let f(p) = -2*p**3 + p + 1. Let q(u) = -4*f(u) + 2*t(u). Let q(h) = 0. Calculate h.
-2, -1/7
Let u(d) = 8*d**2 - 7*d + 2. Let o be u(2). Let q = o - 17. Let 10*a**2 - 2*a**4 + 13*a**2 + 2*a**q - 2*a**5 - 21*a**2 = 0. What is a?
-1, 0, 1
Let r(z) = -z - 3*z**2 + 5*z**2 - 2*z**2 - 1 - z**2. Let w(f) = 21*f**2 + 25*f + 7. Let m(b) = 3*r(b) + w(b). Find y, given that m(y) = 0.
-1, -2/9
Let q be -4 - (-4 - 0 - (12 + -12)). Let d(u) be the first derivative of 0*u**3 + q*u - 3/10*u**5 - 4 + 3/8*u**2 - 9/16*u**4. Factor d(r).
-3*r*(r + 1)**2*(2*r - 1)/4
Let m = -34 - -66. Determine y, given that 10 - 54*y**2 - 26 + 30*y**2 + m*y - y**4 - y**3 + 9*y**3 = 0.
2
Let m(z) be the first derivative of -2/27*z**3 + 6 - 2*z - 2/3*z**2. Let m(f) = 0. What is f?
-3
Suppose -7*q + 3*q - 5*u - 77 = 0, -2*q - 2*u - 36 = 0. Let w be (-514)/130 + 4 - 2/q. Factor 1/5*c**3 - w*c**2 + 0 + 1/5*c**4 - 1/5*c.
c*(c - 1)*(c + 1)**2/5
Let a be -3*(1/(-63))/(61/183). Determine b, given that 0 - 4/7*b - a*b**2 = 0.
-4, 0
Suppose 8*r - 10 = 10*r. Let j be (12/r)/(-4) + 264/160. Factor -j*f + 3/4*f**3 + 0*f**2 - 3/2.
3*(f - 2)*(f + 1)**2/4
Suppose -3*k - 5*t + 21 = -10*t, 6 = -3*k - 4*t. Let z(j) be the first derivative of j**4 - 14 + 0*j + 4/5*j**5 - 2*j**k - 4/3*j**3. Factor z(f).
4*f*(f - 1)*(f + 1)**2
Factor -w**5 + w**4 - 12*w**3 + 2657*w**2 - 2647*w**2 + 5*w**4 - 3*w.
-w*(w - 3)*(w - 1)**3
Suppose 0 = 16*f - 35 - 13. Let b(i) be the second derivative of -1/6*i**f + 1/20*i**5 + 1/8*i**2 + i - 1/48*i**4 + 0. Suppose b(n) = 0. What is n?
-1, 1/4, 1
Solve -16/3 - 1/3*p**2 + 10/3*p = 0.
2, 8
Let i = 55 - 53. Suppose 3*a = -2*