-1, 1/2, 1
Let v(o) = -o + 21. Let k be v(0). Suppose 7*a - 14 = k. Factor -77*r**2 + a*r**3 + 151*r**2 - 71*r**2 - r**4 - 13*r - 10.
-(r - 5)*(r - 2)*(r + 1)**2
Let g = 4/25 - -38/75. Suppose 0 = -15*q + 24 - 9. Solve -g*w - 1/3*w**2 + q = 0.
-3, 1
Let u = -739/10 + 74. Let m(z) = -z**3 - 14*z**2 + 67*z - 87. Let v be m(-18). Determine g, given that 0 + u*g**4 + 1/10*g - 1/10*g**2 - 1/10*g**v = 0.
-1, 0, 1
Let v be (-4)/(-90)*63/294. Let h(y) be the third derivative of 0*y - v*y**7 + 0*y**3 + 0*y**4 + 0 - 1/15*y**5 - 17*y**2 + 1/20*y**6. Find d such that h(d) = 0.
0, 1, 2
Let j(v) be the second derivative of -7*v**5/160 + 15*v**4/32 + 107*v**2/2 + v - 75. Let c(n) be the first derivative of j(n). Solve c(f) = 0.
0, 30/7
Let z(u) be the first derivative of u**3 - 258*u**2 - 519*u + 1370. Suppose z(f) = 0. What is f?
-1, 173
Let r(l) be the first derivative of 3*l**6 + 134*l**5/5 + 175*l**4/18 - 1150*l**3/27 - 256*l**2/9 - 56*l/9 + 2247. Suppose r(q) = 0. Calculate q.
-7, -1, -2/9, 1
Let q(f) be the second derivative of -f**4/120 + 1637*f**3/60 + 819*f**2/10 + 3055*f + 1. Factor q(v).
-(v - 1638)*(v + 1)/10
Determine c, given that 200*c**3 - 2331*c - 342*c + 5*c**4 - 66*c**2 - 2891*c + 1464*c - 39*c**2 + 4000 = 0.
-40, -5, 1, 4
Let i(m) = -25*m**5 + 10*m**4 + 29*m**3 - 10*m**2 + 6*m + 5. Let v(z) = -z**3 - z - 1. Suppose 2*q + 60 = 6*q. Let f(a) = q*v(a) + 3*i(a). Solve f(k) = 0.
-1, 0, 1/5, 1
Determine b, given that -500/3*b - 40*b**3 + 4334/3*b**2 - 48 = 0.
-2/15, 1/4, 36
Let o = 1507 + -1405. Suppose -14 + o = 44*w. Suppose 1/4*m**w + 3/4 - m = 0. Calculate m.
1, 3
Let r(f) be the first derivative of f**8/112 + 17*f**7/70 + 31*f**6/40 + 3*f**5/4 - 2*f**2 + 11*f + 47. Let x(z) be the second derivative of r(z). Factor x(j).
3*j**2*(j + 1)**2*(j + 15)
Let b = -465/704 - -1105/704. Factor 12/11 + b*n - 2/11*n**3 - 4/11*n**2.
-2*(n - 2)*(n + 1)*(n + 3)/11
Let y be -1*(-5 - (-380)/75) + (-1)/(-15). Let w = -1/8 - -5/8. Factor 1/2*a**4 + y*a - w*a**2 + 0 + 0*a**3.
a**2*(a - 1)*(a + 1)/2
Factor 12*t**4 - 34372*t**3 + 38*t + 268*t**2 - 34486*t**3 + 68740*t**3 + 10*t.
2*t*(t - 6)*(t - 4)*(6*t + 1)
Let o(i) be the third derivative of i**6/540 - 23*i**5/270 + 10*i**4/9 + 16*i**3/3 - 424*i**2. Let o(p) = 0. Calculate p.
-1, 12
Let d(l) be the second derivative of -l**6/180 - l**5/45 - l**4/27 + l**3 + 87*l. Let m(b) be the second derivative of d(b). Factor m(p).
-2*(3*p + 2)**2/9
Let s be (-33422)/(-9830) - -4*(-1)/10. Find k, given that 2/5*k**5 + 0*k**2 + 0 + 4/5*k**4 + 0*k - 6/5*k**s = 0.
-3, 0, 1
Suppose 9*x - 4964 = 1619*d - 1615*d, d = -3*x + 1657. Let 70/3*q**3 - 12167/3 - 1/3*q**4 + 13754/3*q - x*q**2 = 0. What is q?
1, 23
Let i = -212453 + 212456. Factor 0 - 38/5*b**i + 4*b**2 + 0*b + 2/5*b**5 + 16/5*b**4.
2*b**2*(b - 1)**2*(b + 10)/5
Let l(x) = -3*x**2 - 363*x - 360. Let r(g) = 6*g**2 + 727*g + 721. Let h(f) = 11*l(f) + 6*r(f). Solve h(c) = 0 for c.
-122, -1
Find s, given that -13/4*s**2 + 5/2*s + 1/4*s**3 + 6 = 0.
-1, 2, 12
Let c(i) = -12*i**2 - 13*i - 5. Let o be c(-1). Let b be o - (-11)/((-605)/(-462)). Factor -10 - b*d**2 + 14*d + 2/5*d**3.
2*(d - 5)**2*(d - 1)/5
Let o(m) be the third derivative of m**5/20 - 21*m**4/8 - 50*m**3 + 150*m**2 + 3*m. Factor o(k).
3*(k - 25)*(k + 4)
Suppose 0 = -2*z - 3*x - 0 - 1, -5 = z + 3*x. Let o be ((-117)/(-390))/(2/z). Solve o - 1/5*s**4 - 8/5*s + 6/5*s**2 + 0*s**3 = 0 for s.
-3, 1
Let k(t) = 2*t - 60. Let a be k(34). Factor -5*h**2 + h**3 - a*h + 11*h - 2 + 2*h + h**2.
(h - 2)*(h - 1)**2
Let i(r) = 3*r**3 + 2613*r**2 + 5195*r - 7809. Let g(u) = 29*u**3 + 26129*u**2 + 51950*u - 78087. Let v(w) = -2*g(w) + 21*i(w). What is h in v(h) = 0?
-521, -3, 1
Let h(x) = 27*x**3 - 428*x**2 + 543*x - 157. Let n(o) = -42*o**3 + 643*o**2 - 816*o + 236. Let a(k) = -7*h(k) - 5*n(k). Suppose a(t) = 0. What is t?
3/7, 1, 9
Let n = 85 - 81. Factor 3*d - d**n + 16 + 3*d - 13*d - 9*d + 4*d**3.
-(d - 2)**3*(d + 2)
Solve 98/3*r**4 + 448/3*r**3 - 2/3*r**5 - 1208/3*r**2 + 6784/3 - 3520/3*r = 0.
-4, 2, 53
Suppose -292/17*q + 894/17 - 2/17*q**2 = 0. What is q?
-149, 3
Let d be (-4092)/39 - (-11 + 9)/(-26). Let o be ((-28)/d)/((-3)/(-18)). Find m, given that 8/5 + 2/5*m**2 + o*m = 0.
-2
Let u(t) = -2*t**2 + 5*t - 24. Let w(c) = -1 - 3 + 4 + 8 - 2*c. Let q(f) = -2*u(f) - 7*w(f). Factor q(r).
4*(r - 1)*(r + 2)
Let q(t) be the second derivative of -t**6/480 - t**5/16 - 13*t**4/48 - 7*t**2 + 142*t. Let i(c) be the first derivative of q(c). Factor i(l).
-l*(l + 2)*(l + 13)/4
Determine p, given that -8/7*p**2 + 17/7*p - 10/7 + 1/7*p**3 = 0.
1, 2, 5
Suppose -1 = -j + l, -3*j + j + 4*l = 2. Let c = -63954 + 63958. Factor -3/5*b**c + 0*b**2 - 2/5*b**j + 0 + 0*b - 1/5*b**5.
-b**3*(b + 1)*(b + 2)/5
Determine i, given that 1/6*i**2 - 43/6*i + 37 = 0.
6, 37
Let y = -535939/3 + 2143771/12. Solve 15/4*o - y*o**2 + 5 = 0.
-1, 4
Let w(q) = -4*q**3 - 10*q**2 - 74*q - 56. Let t(m) = m**3 - m**2 + 2*m + 2. Let x(b) = -6*t(b) - w(b). Factor x(l).
-2*(l - 11)*(l + 1)*(l + 2)
Let m be -10*13/195*(-27)/6. Factor 3/5*y**4 + 0 + 3/5*y**m - 3/5*y - 3/5*y**2.
3*y*(y - 1)*(y + 1)**2/5
Let g(y) be the third derivative of y**5/20 - 33*y**4/8 + 100*y**3 + y**2 - 866*y. Determine q, given that g(q) = 0.
8, 25
Determine x, given that 105*x + 26 + 63 + 10*x**2 + 1 - 5*x**3 = 0.
-3, -1, 6
Let l be (24 - 0)*-7*5/(-70). Determine u so that -40*u**3 + 7 + 24*u**3 - 4*u**4 - l*u**2 + 16*u + 1 + 8 = 0.
-2, -1, 1
Suppose -148*m + 151*m + 5*c - 49 = 0, -2*c + 22 = 2*m. Factor 6*s + 27/4*s**m + 0 - 3/8*s**4 - 99/8*s**2.
-3*s*(s - 16)*(s - 1)**2/8
Let f = 53/38 + 2/19. Let v = -332892 - -332897. Factor 3/2*j**4 - f*j**2 + 3/2*j**3 - 3/2*j**v + 0 + 0*j.
-3*j**2*(j - 1)**2*(j + 1)/2
Let u(d) = d**3 - 77*d**2 - 410*d + 2. Let b be u(-5). Let -1/5*q**b + 8/5*q - 7/5 = 0. What is q?
1, 7
Let i be (30/25)/(6446/4395). Factor -1/11*k**2 + i*k - 8/11.
-(k - 8)*(k - 1)/11
Let r(l) be the second derivative of l**4/18 + 182*l**3/9 + 181*l**2/3 - 1856*l. Factor r(q).
2*(q + 1)*(q + 181)/3
Let z(v) be the second derivative of 5*v**7/21 - 11*v**6/6 + 5*v**5/2 + 25*v**4/3 - 10*v**3 - 45*v**2/2 + 92*v - 3. Suppose z(t) = 0. Calculate t.
-1, -1/2, 1, 3
Let r be -1*2 - 426/(-21). Let q = 508498/37079 + 2/5297. Find g such that -18/7 - r*g**2 + q*g = 0.
3/8
Let k = 34854/2785 - -1050/557. Find j such that -27/5*j**3 - 42/5*j**2 + k + 12*j + 6/5*j**4 + 3/5*j**5 = 0.
-3, -2, -1, 2
Factor 4*p**3 + 441 + 1760*p + 1159 + 135*p**2 + 29*p**2.
4*(p + 1)*(p + 20)**2
Let v be (6/(-21)*5)/((-3)/21). Suppose -30 = -5*p - v. Factor -5*k**5 + 6*k**3 + 82*k**p + 4*k**3 - 82*k**4 - 5*k.
-5*k*(k - 1)**2*(k + 1)**2
Let q be (-4)/19 + 4387*(-135)/(-315495). Factor -7/3*y**3 + q*y**4 + 0*y + y**2 - 1/3*y**5 + 0.
-y**2*(y - 3)*(y - 1)**2/3
Let k be (1 + (-2)/(-8)*93)*4. Let s = k + -85. Let -5 + s*m**2 - 5*m**2 - 2*m**2 = 0. Calculate m.
-1, 1
Let r = 34064 - 34060. Factor 0*p + 0*p**3 - 8/13*p**2 + 2/13*p**r + 0.
2*p**2*(p - 2)*(p + 2)/13
Suppose -4*r - 15*r - 5*r + 7*r = 0. Let g(k) be the second derivative of 1/6*k**4 - 1/5*k**5 - 26*k + r*k**3 + 0*k**2 + 1/15*k**6 + 0. Factor g(u).
2*u**2*(u - 1)**2
Suppose 2*o + 3 = 11. Suppose o*i - 3*i - 10 = 0. Factor -i*j - 3*j**3 - 2 + j + 2*j**2 - 11*j**2 - 1.
-3*(j + 1)**3
Suppose -7*y**2 + 16/3 + 10/3*y - 8/3*y**3 + 7/3*y**4 = 0. What is y?
-1, 8/7, 2
Factor 0 + 2/13*o**4 - 128/13*o + 20/13*o**3 + 16/13*o**2.
2*o*(o - 2)*(o + 4)*(o + 8)/13
Let n = -35 - -51. Let k be -8 + (1224/n)/9. Factor 1/2*r**4 - 1/2*r + 1/2*r**3 - k*r**2 + 0.
r*(r - 1)*(r + 1)**2/2
Factor 36*p**3 - 39 + 93*p**3 - 117*p**3 + 199*p**2 - 120*p - 52*p**2.
3*(p - 1)*(p + 13)*(4*p + 1)
Find m, given that -20695*m - 700*m**2 - 36*m**3 - 324*m**3 + 528 + 2*m**5 + 172*m**4 + 21053*m = 0.
-88, -1, 1, 3
Let p(k) be the second derivative of k**4/18 - 1034*k**3/9 + 267289*k**2/3 - 192*k + 3. Determine n, given that p(n) = 0.
517
Let t be ((-23)/((-460)/45))/((-3)/(-4)). Let v(h) be the second derivative of 29*h + 0 + 0*h**2 - 1/54*h**4 + 2/27*h**t. Factor v(n).
-2*n*(n - 2)/9
Let i(c) = 3*c + 7*c**2 - 3*c**3 - 16*c**2 + 7*c**2 - 15 + 8*c**2. Let j(n) = -2*n**3 - n**2 + n - 1. Let w(g) = i(g) - 3*j(g). Factor w(o).
3*(o - 1)*(o + 2)**2
Suppose 3*w = -5*s + 365, 361 = 5*w - 2*w + s. What is c in 4*c**3 + w*c