
-4*j*(j - 1)*(9*j + 2)
Find r, given that 76/7*r**3 + 2/7*r**5 - 78/7*r + 4*r**2 - 54/7 + 26/7*r**4 = 0.
-9, -3, -1, 1
Suppose 0 = -43*n + 18*n + 100. Let p be (-12)/((-15)/5) - n. Suppose -4*a + 2/3*a**2 + 2/3*a**3 + p = 0. What is a?
-3, 0, 2
Let z(l) = -29*l + 21. Let j be z(-4). Let f = -125 + j. Let 3*y**2 - f - 6*y + 3/2*y**3 = 0. Calculate y.
-2, 2
Let k(p) be the third derivative of p**5/15 - 29*p**4/6 + 380*p**3/3 - 85*p**2 + 3. Factor k(g).
4*(g - 19)*(g - 10)
Let r = 60 - 53. Suppose -o = -21 + r. Solve 10 - 4*b**2 - o + 2*b**2 - 6*b = 0.
-2, -1
Let j(y) be the first derivative of y**4/66 + y**3/11 + 2*y**2/11 + 26*y - 16. Let g(r) be the first derivative of j(r). Find p, given that g(p) = 0.
-2, -1
Suppose -14*z - z + 120 = 75. Factor 32/5*w**2 + 2/5*w**z + 128/5*w + 0.
2*w*(w + 8)**2/5
Determine y so that 3/2*y**4 + 981/2*y**2 + 147/2*y**3 - 21315/2*y + 10092 = 0.
-29, 1, 8
Let q(p) be the second derivative of p**6/36 - p**5/3 + 115*p**4/72 - 35*p**3/9 + 5*p**2 + 2*p - 85. Factor q(l).
5*(l - 3)*(l - 2)**2*(l - 1)/6
Let t(l) be the first derivative of 15/4*l**4 - 70*l + 25/2*l**2 + 110/3*l**3 - 140. Solve t(g) = 0 for g.
-7, -1, 2/3
Let t(r) be the third derivative of r**6/24 - r**5/12 - 5*r**4/24 + 5*r**3/6 - 96*r**2. Factor t(m).
5*(m - 1)**2*(m + 1)
Let x(w) = w**2. Let z(r) be the second derivative of -r**4/6 - 19*r**3/6 - 10*r**2 + 5*r + 3. Let o(t) = -3*x(t) - z(t). Find q such that o(q) = 0.
-1, 20
Let o(z) be the third derivative of -z**5/240 - 161*z**4/96 + 55*z**3/2 - 2*z**2 - 6*z - 76. Find l, given that o(l) = 0.
-165, 4
Let m(p) be the second derivative of 5*p + 1/14*p**7 + 0*p**2 - 2*p**4 - 9/20*p**5 - 2*p**3 - 13 + 1/5*p**6. Solve m(s) = 0.
-2, -1, 0, 2
Let g(s) = -6*s**3 - 87*s**2 + 1741*s + 6082. Let i(l) = 5*l**3 + 87*l**2 - 1743*l - 6081. Let m(c) = -6*g(c) - 7*i(c). Factor m(w).
(w - 45)**2*(w + 3)
Let c(w) be the second derivative of w**4/12 + w**3/2 + 5*w + 14. Let k be c(-3). Factor -2/5*t**2 + k*t + 0.
-2*t**2/5
Let h = -559686 + 559688. Factor -2/7*f**h + 54/7 - 12/7*f.
-2*(f - 3)*(f + 9)/7
Let p(z) = -z**2 + 9*z + 2. Let d(o) = o**2 - 8*o - 3. Let y(i) = 5*d(i) + 4*p(i). Let b(m) = -99 + 197 - 99 - m. Let g(s) = -5*b(s) + y(s). Factor g(c).
(c - 1)*(c + 2)
Let i be ((-48)/(-28))/4*(-29)/(-522). Let s(b) be the third derivative of -1/735*b**7 + 0*b**6 + 1/70*b**5 + i*b**4 + 0 + 0*b + 0*b**3 + 44*b**2. Factor s(x).
-2*x*(x - 2)*(x + 1)**2/7
Solve -25/3 + 2888/3*m**4 + 1938*m**3 - 64/3*m**2 - 195/2*m = 0.
-2, -5/38, 1/4
Let r(j) be the first derivative of 176 + j + 11/2*j**2 - 20*j**3. Factor r(a).
-(4*a - 1)*(15*a + 1)
Let t(g) be the third derivative of -25*g**8/112 + 53*g**7/2 - 4088*g**6/5 - 3158*g**5 - 4294*g**4 - 2888*g**3 - 2*g**2 + 405*g. Find y such that t(y) = 0.
-1, -2/5, 38
Determine b so that -457*b + 33*b**2 + 67*b**2 + 227*b - b**3 + 230*b = 0.
0, 100
Let r = 65307 - 718376/11. Factor -4/11 - r*b**2 + 4/11*b.
-(b - 2)**2/11
Solve -32 - 22/3*z - 1/3*z**2 = 0 for z.
-16, -6
Let m(x) = -5*x**3 - x**2 + 5*x + 6. Let o be m(-1). Factor o*a**2 - 615*a + 287*a + 223*a + 100.
5*(a - 20)*(a - 1)
Let z(k) be the third derivative of k**8/210 + 59*k**7/140 + 11*k**6/45 - 33*k**3/2 - 232*k**2. Let o(x) be the first derivative of z(x). Factor o(q).
2*q**2*(q + 44)*(4*q + 1)
Solve -22440*z**2 - 2504*z - 432 + 14813*z + 7419*z + 480*z**3 + 2397*z**4 - 7758*z**5 + 8025*z**5 = 0.
-6, 2/89, 1, 2
Let m be ((-138)/(-12) + 1)/((-759)/(-966)) + -15. Let -12/11*i**3 - 2/11*i**5 - m*i**4 + 14/11*i + 4/11*i**2 + 6/11 = 0. What is i?
-3, -1, 1
Let j(u) be the second derivative of -7*u**5/20 - 61*u**4/12 - 40*u**3/3 + 14*u**2 + 1763*u. Let j(v) = 0. What is v?
-7, -2, 2/7
Let q(w) = -2*w**2 - 2042*w - 42. Let h(g) = g**2 - 7*g + 7. Let z(l) = 6*h(l) + q(l). Factor z(v).
4*v*(v - 521)
Let b(p) = 7048*p + 91626. Let h be b(-13). Let 2/5 - 4/5*n**3 - 2/5*n**5 + 4/5*n**h + 6/5*n - 6/5*n**4 = 0. Calculate n.
-1, 1
Let a be (-4)/((-24)/345)*48/30. Factor 27*w**4 + 21*w**4 - 14*w**3 + a*w**3 - 1092*w - 423*w**2 - 51*w**4 - 588.
-3*(w - 14)**2*(w + 1)**2
Determine p so that 2/3*p**5 + 20/3*p**4 + 12 + 38*p + 76/3*p**3 + 136/3*p**2 = 0.
-3, -2, -1
Let y = 703435 - 703431. Let 8/7*h**3 - 2/7*h**5 + 0 + 2/7*h**y + 0*h - 8/7*h**2 = 0. Calculate h.
-2, 0, 1, 2
Let u be 2 + (-3 - 1) + 7. Suppose -b + 8 = u*d, 5*b - d = -2*d + 40. Factor -2*g**2 + 1 - b*g**2 - 3*g**3 + g**3 + g**5 + 8*g**2 + g + g**4.
(g - 1)**2*(g + 1)**3
Let x be (-39)/30 - 417117/(-281490). Solve 0 - 338/11*r + 52/11*r**2 - x*r**3 = 0.
0, 13
Let y(t) be the third derivative of -t**6/600 - 3*t**5/50 + 11*t**4/8 - 25*t**3/3 + t**2 + t + 174. Solve y(b) = 0 for b.
-25, 2, 5
Let j(p) be the third derivative of 7*p**5/60 + 45*p**4/8 + 19*p**3/3 + 609*p**2. Factor j(x).
(x + 19)*(7*x + 2)
Let j(v) be the second derivative of 0*v**4 + 14*v + 0*v**3 - 1/320*v**6 - 13/2*v**2 - 3/160*v**5 + 0. Let y(q) be the first derivative of j(q). Factor y(b).
-3*b**2*(b + 3)/8
Let w(n) be the third derivative of 3*n**8/224 + 5*n**7/84 - n**6/40 - 3*n**5/10 + n**4/6 + 215*n**2 + n. Determine k so that w(k) = 0.
-2, 0, 2/9, 1
Factor 37*k - 20*k + 913*k**2 + 77*k**3 - 208*k**2 - 22*k**3 - 147*k.
5*k*(k + 13)*(11*k - 2)
Let u(c) be the second derivative of -175/2*c**2 - 9*c**5 + 1/6*c**6 + 30*c**3 + 9*c + 85/6*c**4 + 1. Find h such that u(h) = 0.
-1, 1, 35
Let v = -34842 + 34844. Factor 0 - 1/3*s**v - 8/3*s.
-s*(s + 8)/3
Let l(g) be the first derivative of 2*g**6/21 - 4*g**5/5 + 9*g**4/7 + 4*g**3/3 - 20*g**2/7 - 4737. Solve l(w) = 0.
-1, 0, 1, 2, 5
Let d(t) be the second derivative of t**7/3780 - t**6/24 - t**4/2 + t**3/3 + 41*t. Let i(k) be the third derivative of d(k). Factor i(m).
2*m*(m - 45)/3
Let p(x) be the first derivative of -x**6/6 + 24*x**5/5 - 117*x**4/4 - 338*x**3/3 - 676. Let p(n) = 0. Calculate n.
-2, 0, 13
Let u(g) = -3*g - 36. Let x be u(5). Let y = -27 - x. Determine a, given that 10*a**2 - 9 + y*a + 37 - 20 = 0.
-2, -2/5
Let y = -36839/40 + 921. Let q(s) be the third derivative of 0*s + 6*s**2 + 0 + 1/16*s**4 - y*s**5 + 1/240*s**6 - 1/12*s**3. Determine o, given that q(o) = 0.
1
Let c = -3401/840 - -229/56. Let j(z) be the third derivative of -21*z**2 - c*z**5 + 1/56*z**4 + 0 + 0*z + 1/168*z**6 + 3/14*z**3. Factor j(p).
(p - 3)*(p - 1)*(5*p + 3)/7
Determine q so that 137*q + 352 - 48*q**2 + 188*q**3 - 65*q - 186*q**3 = 0.
-2, 4, 22
Let l(q) be the third derivative of 41/54*q**4 + 1/270*q**5 + 1681/27*q**3 + 0 + 211*q**2 + 0*q. Suppose l(f) = 0. What is f?
-41
Find o, given that -228/7*o**2 + 0 + 228/7*o**4 - 216/7*o**3 + 222/7*o - 6/7*o**5 = 0.
-1, 0, 1, 37
Suppose -6 = v - 4. Let m(p) = -24*p**3 + 44*p**2 + 34*p - 34. Let u(s) = s**3 + 1. Let z(d) = v*m(d) - 28*u(d). Let z(c) = 0. What is c?
-1, 2/5, 5
Let a(b) be the second derivative of 73/4*b**5 - 570*b**4 - 1/6*b**6 + 0*b**2 - 36*b + 1080*b**3 + 0. Factor a(u).
-5*u*(u - 36)**2*(u - 1)
Let j(p) = -p**3 - 16*p**2 - 27*p + 18. Let l be j(-14). Let g be 4 - (13 - 16)/((-6)/l). Factor -1/5*h + 1/5*h**g + 0.
h*(h - 1)/5
Suppose -169*k + 40 = -179*k. Let p be ((-16)/(k + -4))/((-22)/(-10)). Let 12/11 - p*c + 2/11*c**2 = 0. Calculate c.
2, 3
Let k(b) be the third derivative of -b**6/30 - 104*b**5/5 - 415*b**4/8 - 311*b**3/6 + 1270*b**2. Factor k(x).
-(x + 311)*(2*x + 1)**2
Let c(y) be the second derivative of 91/8*y**3 - 49*y - 2 + 1/4*y**4 - 69/8*y**2. Factor c(t).
3*(t + 23)*(4*t - 1)/4
Find w, given that 69*w**2 + 1112*w + 31*w**2 - 76*w**4 - 270*w**3 + 1245865 - 2*w**5 - 1245049 = 0.
-34, -3, -2, -1, 2
What is u in -224/9*u**2 + 218/9*u + 2/9*u**3 + 148/3 = 0?
-1, 2, 111
Suppose 4*c + 91 = 2*u - 29, 4*u = 5*c + 234. Factor -4*p**3 - 116*p - 9*p**2 + u*p**2 + 56 + 17*p**2.
-4*(p - 14)*(p - 1)**2
Suppose -12*p = 5*j - 13*p - 849, 3*j + 3*p - 495 = 0. Let l = j - 505/3. What is x in 2/5*x**2 - l*x + 4/15 = 0?
2/3, 1
Let f(t) = -2*t**4 + 46*t**3 + 204*t**2 - 328*t - 486. Let i(a) = 6*a**4 - 94*a**3 - 413*a**2 + 655*a + 973. Let j(v) = -5*f(v) - 2*i(v). What is x in j(x) = 0?
-11, -1, 2
Suppose 17424/13 + 2026/13*p**3 - 22836/13*p + 3514/13*p**2 - 10*p**4 + 2/13*p**5 = 0. Calculate p.
-4, 1, 2, 33
Suppose -4*v + 126 - 6 = 0. Suppose -v = i - 7*i. Factor 5*b**5 - 86*b - 2*b**4 - 5*b**2 + 7*b**4 + 86*b - i*b**3.
5*b**2*(b