ctor 1/5*u**2 + u - 10.
(u - 5)*(u + 10)/5
Determine k, given that 98*k**2 + 267*k**2 + 335*k**4 + 45*k - 9144*k**3 + 9769*k**3 + 30*k**5 = 0.
-9, -1, -1/6, 0
Let o(q) = -60*q - 420. Let m be o(-7). Suppose -3/8*r + m - 5/8*r**2 + 1/8*r**4 - 1/8*r**3 = 0. What is r?
-1, 0, 3
Let l(b) be the first derivative of b**3/18 + 95*b**2/12 - 49*b - 4758. Suppose l(x) = 0. What is x?
-98, 3
Let t = -23277 - -162523/7. Let f = t - -3772/63. Find w, given that -f - 13/9*w**2 - 1/3*w**3 - 16/9*w = 0.
-2, -1/3
Let i(v) be the second derivative of v**7/126 - v**5/30 + v**3/18 - 701*v - 2. Find q such that i(q) = 0.
-1, 0, 1
Determine y, given that 292668/7*y - 9048/7*y**3 + 0 - 67280/7*y**2 - 4/7*y**5 - 48*y**4 = 0.
-29, 0, 3
Let n(t) be the third derivative of -5 - 8*t**2 + 0*t + 7/48*t**4 - 13/24*t**3 - 1/240*t**5. Factor n(k).
-(k - 13)*(k - 1)/4
Factor -4/11*n**3 + 0 - 2/11*n**4 + 0*n + 30/11*n**2.
-2*n**2*(n - 3)*(n + 5)/11
Let i = -596 - -766. Let a = i - 167. Factor 0*k**2 + 3/2*k**a + 3 - 9/2*k.
3*(k - 1)**2*(k + 2)/2
Let o(r) be the second derivative of -115*r - 1/5*r**6 + 0 - 1/10*r**5 + 2/3*r**3 + 0*r**2 + 1/2*r**4 - 1/21*r**7. Suppose o(l) = 0. What is l?
-2, -1, 0, 1
Let w be (-33)/12 + 3 - 1083/76. Let d be -3*(-10)/108*w/(-35). Find o such that 1/9*o - 1/3*o**4 - d*o**3 + 0 + 1/3*o**2 = 0.
-1, -1/3, 0, 1
Suppose 1282/5 - 2/15*u**2 + 3844/15*u = 0. What is u?
-1, 1923
Let l(s) = -3*s**2 - 3*s - 6. Let u(f) = 8*f**2 + 7*f + 12. Let w = -102 + 107. Let y(o) = w*l(o) + 2*u(o). Find g, given that y(g) = 0.
-2, 3
Let h(k) = -3*k**3 - 154*k**2 - 84*k - 1680. Let p be h(-51). Find n, given that 3/5*n - 3*n**4 - 9/5*n**p - 6/5*n**5 + 0 + 3/5*n**2 = 0.
-1, 0, 1/2
Let s(j) be the second derivative of 0*j**2 + 1/75*j**6 + 4*j - 2/15*j**4 + 4/15*j**3 - 16 - 1/50*j**5. Solve s(k) = 0.
-2, 0, 1, 2
Suppose -4*j = -t + 10 + 54, 4*t = -2*j + 310. Let g = -72 + t. Determine s, given that 10/3*s**3 - 5*s**2 + 0 + 0*s + 5/3*s**g = 0.
-3, 0, 1
Let p be (724/(-8))/(-9*426/36). Let u = -13/71 + p. Factor 0 - 32/3*x**2 - u*x**4 + 0*x + 16/3*x**3.
-2*x**2*(x - 4)**2/3
Let u be 2176/(-6) - (-46)/(-69). Let h = u - -364. Find a, given that -h*a**2 - 1/3*a + 1/3*a**3 + 2/3 = 0.
-1, 1, 2
Let c(w) be the second derivative of 0 + 29*w + 10/3*w**3 - 9*w**2 - 1/15*w**5 - 2/3*w**4. Let r(y) be the first derivative of c(y). Let r(v) = 0. What is v?
-5, 1
Let m(q) be the third derivative of -1/150*q**5 + 2*q**2 + 2/45*q**3 - 22*q - 1/900*q**6 + 1/180*q**4 + 0 + 1/1575*q**7. Let m(p) = 0. Calculate p.
-1, 1, 2
Let l = -22502/707 + 5350/101. Let a(s) = s**2 + 10*s + 12. Let m be a(-9). Let -l*f**m + 8/7 + 128/7*f**2 + 80/7*f**4 - 16/7*f**5 - 52/7*f = 0. What is f?
1/2, 1, 2
Factor 92*b**3 - 6542 + 4*b**5 - 96*b**4 + 6542.
4*b**3*(b - 23)*(b - 1)
Solve -66/7*p - 67/7 + 1/7*p**2 = 0.
-1, 67
Suppose a - 28 = -4*u, -a + 3*u = -5*a + 125. Let i be 4/(-16)*a/(-56). Solve -4/7*t - 3/7*t**2 - i = 0 for t.
-1, -1/3
Let j(w) be the third derivative of -w**8/36 - 122*w**7/315 - 8*w**6/9 + 28*w**5/45 - 483*w**2. Let j(v) = 0. What is v?
-7, -2, 0, 2/7
Let y(b) be the first derivative of 5*b**9/3024 - b**8/168 + b**6/36 - b**5/24 + 42*b**3 - 145. Let t(f) be the third derivative of y(f). Factor t(a).
5*a*(a - 1)**3*(a + 1)
Let g be (32/56)/(9/(10584/70)). Factor g*w**3 + 0*w + 12/5*w**4 + 0 + 64/5*w**2 + 1/5*w**5.
w**2*(w + 4)**3/5
Factor -139*m**3 - 6125 + 266*m**3 - 350*m + 223*m**3 + 5*m**4 + 6120*m**2.
5*(m - 1)*(m + 1)*(m + 35)**2
Let i(u) be the first derivative of 5*u**3/3 + 35*u**2 + 65*u + 929. Suppose i(r) = 0. Calculate r.
-13, -1
Let g(a) be the first derivative of 5*a**3/3 + 566*a**2 - 1824*a - 7791. Factor g(b).
(b + 228)*(5*b - 8)
Let r(o) be the first derivative of o**9/21168 + o**8/3920 + o**7/2940 - 74*o**3/3 + 51. Let i(m) be the third derivative of r(m). Factor i(t).
t**3*(t + 1)*(t + 2)/7
Let m(f) be the third derivative of f**6/24 - 13*f**5/12 + 115*f**4/24 - 55*f**3/6 + 3*f**2 - 401*f. Let m(b) = 0. What is b?
1, 11
Find s, given that 169/5*s**2 + s**4 + 63/5*s**3 - 54/5 + 57/5*s = 0.
-9, -3, -1, 2/5
Let q be (((-396)/55)/12 - 6/(-10))/(-2). Let p(g) be the first derivative of q*g - 6*g**2 + 22 - 4/3*g**3. Determine x, given that p(x) = 0.
-3, 0
Suppose 5*x + 5 = 5*f, -3*x - 22*f = -24*f. Suppose -c = -5*k, -6*c = -4*c + x*k. Factor c - 1/6*o + 1/3*o**2 - 1/6*o**3.
-o*(o - 1)**2/6
Let q(c) be the second derivative of 0 + 1/4*c**4 - 1/20*c**5 - c**2 - 1/30*c**6 + 1/6*c**3 - 9*c. Factor q(i).
-(i - 1)**2*(i + 1)*(i + 2)
Let v be ((1 - -10) + -4 - 4)*(-81)/(-972). Let 0 - 1/2*x**2 + 1/4*x + v*x**3 = 0. What is x?
0, 1
Let o(r) be the first derivative of -r**3 + 909*r**2/2 - 4684. Factor o(d).
-3*d*(d - 303)
Let r be 214/14 - (1083/(-19) - -68). Factor 0 - 24/7*v - r*v**3 + 44/7*v**2 + 9/7*v**4 - 1/7*v**5.
-v*(v - 3)*(v - 2)**3/7
Let j(p) be the first derivative of 162/19*p - 12/19*p**3 + 0*p**2 + 2/95*p**5 - 211 + 0*p**4. Let j(a) = 0. What is a?
-3, 3
Let m(o) be the first derivative of -16*o**4/3 + 256*o**3/3 - 362*o**2 + 496*o/3 - 5663. Let m(x) = 0. Calculate x.
1/4, 4, 31/4
Suppose -34*g + 2 - 412*g**2 + 2 + 410*g**2 - 4 = 0. What is g?
-17, 0
Let k be (4/(-6))/(10 - (-252)/(-27))*0. Let f(t) be the first derivative of 3/5*t**5 + 3*t**2 - 17 + k*t - t**3 - 3/2*t**4. Factor f(y).
3*y*(y - 2)*(y - 1)*(y + 1)
Determine v, given that 5082097 + 3*v**2 - 1592015 - 3*v**2 - 8*v**2 + 10*v**2 + 5284*v = 0.
-1321
Let y = 0 - -20. Suppose -y = -a - 0*a. Find q, given that 10*q**4 - 7*q**5 + 2*q**5 - 25*q**4 + a*q**2 = 0.
-2, 0, 1
Let y(x) be the second derivative of -x**5/60 - x**4/12 + 97*x**3/18 + 33*x**2/2 + 45*x - 1. Determine j so that y(j) = 0.
-11, -1, 9
Suppose -13*d - 4*d - 202 + 253 = 0. Let p(u) be the second derivative of 0 + 1/5*u**d + 0*u**2 + 9*u - 19/20*u**4. Factor p(n).
-3*n*(19*n - 2)/5
Let b(i) = i**3 - 10*i**2 - i. Let y(p) = 12*p**3 + 610*p**2 + 128866*p - 260642. Let q(v) = 22*b(v) - 2*y(v). Determine g so that q(g) = 0.
-361, 2
Let d(m) be the first derivative of 178 - 8*m + 4*m**3 - 10*m**2 + 8*m**4 - 16/5*m**5. Find t such that d(t) = 0.
-1/2, 1, 2
Solve 0*n + 0 + 23/9*n**3 - 5/3*n**2 + 1/9*n**5 - n**4 = 0.
0, 1, 3, 5
Let m(d) be the third derivative of -d**8/336 + d**7/15 - 53*d**6/120 + 19*d**5/15 - 3*d**4/2 - 3*d**2 - d - 221. Suppose m(q) = 0. What is q?
0, 1, 2, 9
Let b = -2577/4 - -648. Suppose 772*v - 768*v = 3*x + 24, 0 = x - 2*v + 12. Let -3/4*u**2 - b*u + x = 0. Calculate u.
-5, 0
Determine s, given that -409*s**5 - 418*s**5 - 260*s - 408*s**3 + 1236*s**5 - 80*s**4 - 592*s**2 - 413*s**5 = 0.
-13, -5, -1, 0
Suppose 0 = 2*q + 5*p - 39, 0*q + 45 = 5*q + 2*p. Let n be 1 - (7/2 - (-4 + q)). Let 5/2*s**3 + 3 + n*s**4 - 5/2*s - 7/2*s**2 = 0. What is s?
-6, -1, 1
Let l(n) be the first derivative of -5*n**4 - 30 - 160*n**2 - 40*n**3 - 1/4*n**5 - 23*n. Let i(q) be the first derivative of l(q). Let i(c) = 0. Calculate c.
-4
Factor -u**2 - 2*u**2 + 0*u**2 - 97*u - 93 + 439*u + 438.
-3*(u - 115)*(u + 1)
Let s(d) be the first derivative of -19 + 3*d**2 + 1/3*d**3 - 3/8*d**4 + 4*d - 1/10*d**5. Factor s(z).
-(z - 2)*(z + 1)*(z + 2)**2/2
Let l be 10 + -7 - 63384/(-30). Let z = -2109 + l. Find t, given that -z*t**2 - 2*t**3 - 32/5*t - 8/5 = 0.
-2, -1, -2/5
Let j = 26 - 24. Let f be ((-5)/2)/((-1)/j). Factor 5*y**4 + 0*y**4 - 5*y**4 + 3*y**3 - 3*y**2 + 3*y**4 - 3*y**f.
-3*y**2*(y - 1)**2*(y + 1)
Let x(k) be the third derivative of -k**5/12 - 25*k**4/3 - 250*k**3 + 10*k**2 + 2*k + 37. Let x(n) = 0. Calculate n.
-30, -10
Let k(j) be the first derivative of j**4/4 - 110*j**3/3 + 427*j**2/2 - 318*j - 292. Determine d so that k(d) = 0.
1, 3, 106
Let h(d) be the third derivative of d**5/100 - 3*d**4/20 - 27*d**3/10 + 676*d**2 + d. Factor h(x).
3*(x - 9)*(x + 3)/5
Suppose 3*g + 17 - 41 = -2*m, -54 = -4*g + m. Let a(t) be the second derivative of -7/2*t**2 - 1/12*t**4 + 4/3*t**3 + g*t + 0. Suppose a(b) = 0. What is b?
1, 7
Suppose -19*r = -9 - 29. What is x in -58*x**3 + 3*x - 141*x - 8*x**3 - 4*x**4 - 58*x - 64 - 204*x**r - 10*x**3 = 0?
-16, -1
Let w be -1*26647/1974 - (-13 + 7). Let q = 1/987 - w. Factor 27/2*i**2 - 99/4*i + q + 15/4*i**3.
3*(i - 1)*(i + 5)*(5*i - 2)/4
Let y(d) be the third derivative of 72*d**6/5 + 292*d**5/15 + 49*d**4/8 - 3*d**3 - 434*d**2 + d -