*k + 5 = 0. What is k?
-15, 2
Let p be (3/(-7))/((-63)/196). Let h(k) be the first derivative of -2*k**2 + 2 + 4*k - p*k**3 + k**4. Factor h(q).
4*(q - 1)**2*(q + 1)
Let m = 15 - 7. Suppose 0 = -0*q - 2*q + m. Let -6*b**q + 12*b**2 + 7*b**3 + b**5 - 3*b**5 - 6 + 5*b**5 + 3*b - 13*b**3 = 0. Calculate b.
-1, 1, 2
Let o(z) be the third derivative of -z**6/300 + z**5/50 - z**4/20 + z**3/15 + z**2 + 60. Factor o(t).
-2*(t - 1)**3/5
Suppose c - 7 = -x - 2, 0 = -2*x + 6. Suppose v = 3*j + 18, 2*v + 28 = 3*v - 5*j. Find m, given that m**3 + 3*m**2 + 0*m**3 - v*m**4 - m**5 - c*m + 2*m**5 = 0.
-1, 0, 1, 2
Let n(q) = -q**2 - 3*q + 45. Let x be n(5). Suppose -5*f - 2*v - 1 = 3, 4*f - x*v = 10. Factor f*p + 4/5*p**3 + 0 + 2/5*p**4 + 2/5*p**2.
2*p**2*(p + 1)**2/5
Let p(t) = -t**2 - 12*t + 28. Let h be p(-19). Let g be (12/(-16))/(h/28). Factor g*d**2 + 0 - 1/5*d.
d*(d - 1)/5
Let n(s) = -26*s - 2. Let i be n(-7). Let g = -539/3 + i. What is y in g*y**4 - 2/3*y**3 + 0*y**2 + 0 + 0*y = 0?
0, 2
Let y(q) be the second derivative of -1/24*q**3 - 4*q - 1/2*q**2 + 1/96*q**4 + 0. Find v, given that y(v) = 0.
-2, 4
Suppose -3*w + 4*d = -552, -2*w = 2*w + 2*d - 736. Let b be (-4)/3 - w/(-12). Factor 2*q**2 + 2*q + b - 6 - 12.
2*(q - 1)*(q + 2)
Let o(y) be the second derivative of -17*y - 3*y**2 - 3/2*y**3 + 0 - 1/4*y**4. Factor o(x).
-3*(x + 1)*(x + 2)
Let d = -460 + 465. Let r(l) be the third derivative of 5*l**2 + 1/15*l**d + 1/30*l**6 + 0 - 2/3*l**3 + 0*l - 1/6*l**4. Factor r(y).
4*(y - 1)*(y + 1)**2
Let p be (-4563)/(-19440) + (-2)/9. Let f(b) be the third derivative of 1/16*b**4 + 0*b**3 + 7*b**2 + 0 + 0*b + p*b**5. Find z such that f(z) = 0.
-2, 0
Let o be ((-64)/(-12))/(-4)*-3. Let m be (5/(-4) + 2)*o. What is n in -3*n + 6 + n**m + 12*n - 4*n**3 = 0?
-1, 2
Let v = -59 + 59. Suppose v*g + 15 = 5*g. Solve -2/7*q**2 + 0 + 2/7*q**g + 0*q = 0 for q.
0, 1
Factor -6*j**4 + 703*j**2 - 703*j**2 + 2*j**4 + 36*j**3.
-4*j**3*(j - 9)
Let h(v) = -9 + 10 - 3 + 1. Let y(o) = o**2. Let m(p) = 6*p**2 + 24*p - 40. Let x(c) = -m(c) + 10*y(c). Let u(j) = -4*h(j) - x(j). Factor u(b).
-4*(b - 3)**2
Let m(w) = -5*w**3 - 15*w**2 + 51*w + 1. Let t(i) = -i - 1. Let s = -2 + 1. Let q(v) = s*t(v) - m(v). Suppose q(u) = 0. Calculate u.
-5, 0, 2
Let v(k) be the first derivative of 1/3*k**4 + 0*k**3 + 3*k**2 + 0*k + 7 - 1/15*k**5. Let y(t) be the second derivative of v(t). Factor y(o).
-4*o*(o - 2)
Determine l, given that -4/5*l**5 - 32/5*l**3 + 12/5*l - 22/5*l**4 - 2/5*l**2 + 0 = 0.
-3, -2, -1, 0, 1/2
Let v(k) be the third derivative of k**6/30 - 4*k**5/5 - 42*k**4 - 576*k**3 + 912*k**2. Determine q so that v(q) = 0.
-6, 24
Let q(b) be the first derivative of -3*b**4/4 + 22*b**3 - 192*b**2 + 672*b - 154. Factor q(j).
-3*(j - 14)*(j - 4)**2
Let c(m) = -15*m**3 - 25*m**2 + 160*m - 125. Let y(u) = 8*u**3 + 12*u**2 - 80*u + 63. Let z(o) = -3*c(o) - 5*y(o). Factor z(t).
5*(t - 2)*(t - 1)*(t + 6)
Let b(x) be the second derivative of -4/9*x**4 - 7*x + 1/6*x**5 + 1/9*x**3 + 2/3*x**2 + 0. Find o, given that b(o) = 0.
-2/5, 1
Let o be 165/44 - (-9)/(-24) - (-3)/(-8). Factor 0*z**2 + 6/7*z - 4/7 - 2/7*z**o.
-2*(z - 1)**2*(z + 2)/7
Let p(n) = n**3 + 16*n**2 + n + 16. Let t be 2/1*(-1 + (-7)/1). Let d be p(t). Factor -1/2*h**2 + 0*h + 3/4*h**3 - 1/4*h**5 + d + 0*h**4.
-h**2*(h - 1)**2*(h + 2)/4
Suppose -5*u - 5*o = 10, -3*u = -4*u - 5*o - 22. Suppose 5*d = 4*d + u. Factor 10*w**2 - w**4 + 5 + 5*w**5 - 19*w - 55*w**3 + 4*w - 14*w**4 + 65*w**d.
5*(w - 1)**4*(w + 1)
Let s(u) = -6*u**2 - 11*u - 1. Let j(n) = 7*n**2 + 12*n + 1. Let l(d) = 4*j(d) + 5*s(d). Let m be l(-3). Factor 40*i - i**2 - 6*i**m - 18*i**2 + 20.
-5*(i - 2)*(5*i + 2)
Let n(v) be the first derivative of v**4 - 4*v**3 + 4*v**2 - 86. Suppose n(g) = 0. Calculate g.
0, 1, 2
Let c(g) be the second derivative of 0 - 1/195*g**6 + 0*g**2 + 0*g**3 - 1/26*g**4 - 2/65*g**5 - 16*g. Solve c(h) = 0.
-3, -1, 0
Let w(n) be the second derivative of n**4/48 - n**3/6 - 21*n**2/8 + 2*n + 68. Factor w(v).
(v - 7)*(v + 3)/4
Suppose 0*p - 2*p = -8. Find d, given that 160*d**2 + 0*d + p*d - 20 + 4 - 8 = 0.
-2/5, 3/8
Suppose -2/5*p**2 - 82/5*p - 16 = 0. What is p?
-40, -1
Let u(z) = -3*z - 37. Let f = 24 - 38. Let y be u(f). Suppose 4/11*j**2 - 2/11*j - 4/11*j**4 + 2/11*j**y + 0 + 0*j**3 = 0. What is j?
-1, 0, 1
Let o(m) be the first derivative of m**3/12 - 7*m**2/2 - 29*m/4 + 160. Factor o(a).
(a - 29)*(a + 1)/4
Let t be 1 - 5/12 - 23/46. Let k(b) be the second derivative of 0*b**2 - 6*b - t*b**4 - 1/10*b**5 + 0*b**3 + 0 - 1/30*b**6. Factor k(x).
-x**2*(x + 1)**2
Let f(i) = 5*i**2 - 7*i. Suppose 4*s = w - 125, 10 = s + 2*w + 30. Let u(d) = d**2 - d. Let l(y) = s*u(y) + 5*f(y). Factor l(m).
-5*m*(m + 1)
Let d(p) be the first derivative of p**4/2 + 88*p**3/21 + 75*p**2/7 + 36*p/7 + 166. Solve d(y) = 0.
-3, -2/7
Determine r, given that 2*r - 49/8*r**4 - 143/8*r**2 + 3/2 - 49/2*r**3 = 0.
-3, -1, -2/7, 2/7
Let q(x) = -18*x**3 - 20*x**2 + 60*x - 18. Let l(y) = y**3 - 3*y**2. Let k(r) = 4*l(r) + 2*q(r). Suppose k(z) = 0. What is z?
-3, 3/8, 1
Let o(a) be the first derivative of -2*a**3/15 - a**2 - 74. Find k, given that o(k) = 0.
-5, 0
Let c(y) be the third derivative of -y**6/360 + y**5/20 + y**4/72 - y**3/2 - 4*y**2 + 10*y. Factor c(x).
-(x - 9)*(x - 1)*(x + 1)/3
Let n(v) = -v**3 + v**2 + v. Let h(c) = 2*c**3 - 24*c**2 - 150*c - 343. Let u(x) = -h(x) - 3*n(x). Factor u(w).
(w + 7)**3
Suppose 0 = -2*a - 134 - 126. Let t be (-4)/(-10) - 13/a. Determine j, given that -t*j**3 + 5/6*j**2 + 0 - 1/3*j = 0.
0, 2/3, 1
Let w(o) be the first derivative of 27*o**5/25 + 9*o**4/5 - 2*o**3/5 - 6*o**2/5 + 3*o/5 - 149. Factor w(q).
3*(q + 1)**2*(3*q - 1)**2/5
Let d = 1114 + -1112. Let j(x) be the third derivative of 0*x**6 + 0*x**3 - 1/21*x**4 - 1/35*x**5 + 0*x - 4*x**d + 2/735*x**7 + 0. Factor j(l).
4*l*(l - 2)*(l + 1)**2/7
Let i(n) be the second derivative of -n**6/150 + n**5/10 - 7*n**4/20 - 8*n - 3. Factor i(p).
-p**2*(p - 7)*(p - 3)/5
Suppose -25*g**3 - 13*g**3 + 4*g + 0*g + 16*g**2 + 45*g**3 = 0. What is g?
-2, -2/7, 0
Let u be (16/10 - 1) + 18/(-5). Let k(t) = 2*t**2 - 7*t - 3. Let b(y) = -5*y**2 + 15*y + 5. Let j(c) = u*b(c) - 5*k(c). Factor j(l).
5*l*(l - 2)
Let z(j) = -j**3 + 6*j**2 + 19*j - 19. Let d be z(8). Factor 8*v**5 - 3*v**d + 4911*v**3 + 5*v - 4921*v**3.
5*v*(v - 1)**2*(v + 1)**2
Let l(j) be the second derivative of -3*j**2 + 0 - 1/32*j**4 + 1/2*j**3 - 12*j. Determine x, given that l(x) = 0.
4
Let f be ((-15)/4)/(435/60 + -8). Let b(y) be the first derivative of -3/5*y**f + 3/4*y**4 - 6 + 0*y**2 + 0*y + 2*y**3. Let b(j) = 0. Calculate j.
-1, 0, 2
Let o(n) = 2*n**2 + 53*n + 96. Let y(s) = 3*s**2 + 52*s + 99. Let q(p) = -2*o(p) + 3*y(p). Suppose q(f) = 0. What is f?
-7, -3
Suppose -b - 5 = -4*a, 0 = -3*a - 67*b + 65*b - 10. Factor 2/9*o + 2/9*o**2 + a.
2*o*(o + 1)/9
Let m(t) be the first derivative of -t**6/2 + 18*t**5/5 - 21*t**4/2 + 16*t**3 - 27*t**2/2 + 6*t - 341. Factor m(w).
-3*(w - 2)*(w - 1)**4
Let w = -303/8 + 1531/40. Let i be 2/4*(-1 - -1). Determine n so that w*n**4 - 2/5*n**2 + i*n + 0*n**3 + 0 = 0.
-1, 0, 1
Let r(s) = -2*s + 27. Let m be r(12). Suppose 5*k - 20 = 0, -29 = -m*c - k + 5*k. Factor 70 + 0*g**2 - 70 + 10*g**2 - 5*g**5 + c*g**3.
-5*g**2*(g - 2)*(g + 1)**2
Let o(y) = -y**2 + 16*y - 5. Let h be o(15). What is x in -3*x**4 + 5*x**5 + 6*x + 5*x**5 - 4*x**5 + h + 6*x**2 - 12*x**3 - 13 = 0?
-1, 1/2, 1
Let j(t) be the first derivative of t**6/30 + 14*t**5/15 + 49*t**4/6 - 7*t**2/2 - 12. Let i(b) be the second derivative of j(b). Find v such that i(v) = 0.
-7, 0
Suppose 20*r - 120 = -10*r. Let h(m) be the second derivative of 0 + 1/15*m**3 + 0*m**2 - 1/50*m**5 - 1/30*m**r + 1/75*m**6 - 6*m. Solve h(u) = 0.
-1, 0, 1
Factor -32 - 28*r - 4*r**2 - 4*r**2 + 10*r**2 + 2*r**2.
4*(r - 8)*(r + 1)
Let p(d) be the first derivative of -d**5/5 + 167*d**4/4 - 165*d**3 + 493*d**2/2 - 164*d + 18. What is f in p(f) = 0?
1, 164
Let r(h) be the third derivative of -h**6/1080 + h**5/360 + 14*h**3/3 + 13*h**2. Let c(j) be the first derivative of r(j). Solve c(m) = 0.
0, 1
Let j(h) = -26*h**3 - 24*h**2 - 22*h - 4. Let v(g) = -6*g**3 - g**2 - g - 1. Let m(i) = j(i) - 4*v(i). Determine w so that m(w) = 0.
-9, -1, 0
Suppose 0 = -2*v - 2*w - 2, 0 = -4*v - 5*w + 3 - 12. Find 