-1, 0
Suppose 4*p + 5*l = -1002, -l + 259 = -p + 2*l. Let q = p + 255. Factor -10/3*u**q - 5/3*u + 5/3*u**3 + 10/3.
5*(u - 2)*(u - 1)*(u + 1)/3
Let b(i) = -2*i - 58. Let p be b(22). Let w = p - -109. Determine c, given that -4*c + 6*c**4 + c**3 - 5*c**2 - w*c**4 + 9*c**2 = 0.
-2, 0, 1, 2
Let w = -44807 + 134423/3. Suppose 2 - w*d + 1/3*d**3 - 5/6*d**2 = 0. What is d?
-3/2, 2
Factor 624*b**3 - 21*b**4 + 4*b**2 + 599*b**3 - 1809*b**3 + 603*b**3.
-b**2*(b - 1)*(21*b + 4)
Let 0 - 16/3*y**3 + 44/3*y**4 - 460/3*y**2 - 50*y + 2*y**5 = 0. What is y?
-5, -1/3, 0, 3
Let l(c) be the second derivative of c**7/84 - 11*c**6/20 + 31*c**5/40 + 11*c**4/8 - 8*c**3/3 - 24*c - 31. Determine r, given that l(r) = 0.
-1, 0, 1, 32
Let i(g) be the third derivative of -2*g - 49/90*g**5 + 8/3*g**3 + 6*g**2 + 0 + 7/18*g**4 + 11/180*g**6. Find a, given that i(a) = 0.
-6/11, 1, 4
Let j(m) = -2*m**3 - 21*m**2 + 10*m - 2. Let w be j(-11). What is l in -26 - w - 4 - 40*l + 1 - 2*l**2 = 0?
-19, -1
Let s(w) be the third derivative of 11*w**6/90 + 97*w**5/45 - 64*w**4/9 + 40*w**3/9 - w**2 - 505*w. Find g, given that s(g) = 0.
-10, 2/11, 1
Let q = -5 + 8. Let i(p) = -4*p**2 - 60*p**q + 27*p**3 + 27*p**3 + 2 + 6*p. Let t(b) = b**4 - b**2 - 1. Let n(h) = -2*i(h) + 4*t(h). Factor n(v).
4*(v - 1)*(v + 1)**2*(v + 2)
Let y = -8371 + 435325/52. Let z = y + 4449/364. Factor -z*x**3 + 16/7 + 8/7*x - 12*x**2.
-2*(3*x + 2)**2*(5*x - 2)/7
Suppose -h + 71 = 4*k, 3*k + 2*h - h = 53. Let n be (-2 - 3/(-9))*(-24)/k. Factor -8/3*v**3 - 2/3*v - n*v**2 + 0 - 2/9*v**5 - 4/3*v**4.
-2*v*(v + 1)**3*(v + 3)/9
Let z(s) be the second derivative of -3*s**4/20 + 5*s**3 - 48*s**2/5 + 7726*s. What is h in z(h) = 0?
2/3, 16
Let l(c) be the first derivative of -c**5/25 + 7*c**4/20 + c**3/5 - 19*c**2/10 - 14*c/5 - 1495. Suppose l(v) = 0. What is v?
-1, 2, 7
Let k(t) be the third derivative of 3*t**8/448 - 61*t**7/560 + 43*t**6/160 + 151*t**5/160 - 25*t**4/32 - 3*t**3 + 5228*t**2. Let k(r) = 0. What is r?
-1, -1/2, 2/3, 3, 8
Let p be (-4 - -2)/(2*1). Let k be (-117)/(-36) - p/(-4). Let 20*v**k + 11*v - 18*v**3 + 8 + 10*v**2 + 5*v = 0. Calculate v.
-2, -1
Let f(a) be the third derivative of -a**7/1155 + 4*a**6/55 - 8*a**5/15 + 2*a**2 + 264*a. Factor f(v).
-2*v**2*(v - 44)*(v - 4)/11
Let y = 435 + -552. Let o be 3/y + (-2)/(-6). Let o*m**2 + 6/13*m - 2/13*m**3 + 0 = 0. Calculate m.
-1, 0, 3
Factor 36757*j**4 - 238*j**2 + 117*j**3 + 36760*j**4 - 73516*j**4.
j**2*(j - 2)*(j + 119)
Let y be 86 - 17376/192 - (-171)/30. Suppose -2/5*i**4 - 2/5*i**2 + 4/5 + 6/5*i - y*i**3 = 0. Calculate i.
-2, -1, 1
Let u be 14 + 16/(24/(-12)). Let k(p) be the first derivative of 17/9*p**3 + 17/12*p**4 + 1/18*p**u + p**2 + 7/15*p**5 + 0*p - 13. What is r in k(r) = 0?
-3, -2, -1, 0
Suppose x = -3*h - 6, h - 12*x + 24 = -16*x. What is u in 6/5*u**3 + 0*u + 2/5*u**5 + 2/5*u**2 + 6/5*u**4 + h = 0?
-1, 0
Let j(u) be the first derivative of -3*u**5/35 - 975*u**4/7 - 1299*u**3/7 + 11443. Factor j(r).
-3*r**2*(r + 1)*(r + 1299)/7
Factor -46*j**4 + 189*j**3 - 24*j**2 - 324*j**3 + 239*j**3.
-2*j**2*(j - 2)*(23*j - 6)
Let k(l) = 5*l**3 + 7*l**2 - l - 6. Let h be 3/((2 + 1)/3). Let g(w) = 5*w**3 + 7*w**2 - 2*w - 8. Let s(x) = h*g(x) - 4*k(x). Solve s(p) = 0 for p.
-1, -2/5, 0
Let q be (-19)/19*((-2 - 0) + -10). Find a, given that 3*a**2 + a**2 + 3*a**3 - q*a - 5*a**2 + a**2 = 0.
-2, 0, 2
Factor 2/3*u**4 + 0 + 118*u**2 + 176/3*u + 60*u**3.
2*u*(u + 1)**2*(u + 88)/3
Determine k so that 1125*k + 0 - 625*k**2 - 265/9*k**3 - 1/3*k**4 = 0.
-45, 0, 5/3
Let h(u) be the first derivative of 1/6*u**4 + 1/3*u - 2/9*u**3 - 1/6*u**2 + 1/15*u**5 - 1/18*u**6 - 106. Factor h(m).
-(m - 1)**3*(m + 1)**2/3
Let l = 239 + -245. Let u(g) = g**2 - 6*g - 68. Let d be u(l). Factor 0 - 2/3*y**2 + 4/9*y + 0*y**3 + 2/9*y**d.
2*y*(y - 1)**2*(y + 2)/9
Let d(j) be the first derivative of -j**6/24 + 131*j**5/20 + 265*j**4/16 + 133*j**3/12 + 3978. Factor d(r).
-r**2*(r - 133)*(r + 1)**2/4
Let x(l) be the third derivative of -37*l**5/24 - 95*l**4/12 - 5*l**3/3 + 15*l**2 + 59. Find p, given that x(p) = 0.
-2, -2/37
Determine b so that -204/7*b**3 + 0 + 2/7*b**4 + 5202/7*b**2 + 0*b = 0.
0, 51
Suppose 70 - 2/15*x**2 + 8/3*x = 0. What is x?
-15, 35
Let z(v) be the first derivative of 0*v**2 - 16/63*v**3 - 1/315*v**6 - 15*v + 1/30*v**5 - 34 - 4/63*v**4. Let x(s) be the first derivative of z(s). Factor x(j).
-2*j*(j - 4)**2*(j + 1)/21
Factor 288 + 172*u**2 - 304*u - 4*u**3 - 282*u**2 + 198*u**2.
-4*(u - 18)*(u - 2)**2
Let f(u) = u**3 - 108*u**2 - 1137*u + 4380. Let i(a) = 2*a**3 - 110*a**2 - 1138*a + 4382. Let q(z) = -4*f(z) + 3*i(z). Factor q(b).
2*(b - 3)*(b + 27)**2
Factor 10/3*i**2 + 224/9 + 16*i + 2/9*i**3.
2*(i + 4)**2*(i + 7)/9
Suppose -19*v + 65 - 65 = -3*v. Let q(n) be the second derivative of 0 + 7*n + v*n**2 - 5/12*n**4 + 5/3*n**3. Factor q(x).
-5*x*(x - 2)
Let z(x) be the second derivative of x**6/165 + 2*x**5/5 + 437*x**4/66 - 1058*x**3/33 - 17*x + 3. What is t in z(t) = 0?
-23, 0, 2
Let m(p) = -2*p**3 - 3*p**2 + 4*p + 8. Let a be m(-2). Factor 0*y - 6*y**4 - 3*y**a - 3*y**2 - 30*y**3 - 6*y - 18*y**2 - 6*y**2.
-3*y*(y + 1)*(y + 2)*(3*y + 1)
Let t = -47 - -57. Suppose -10 + 25 = 5*j. Find l, given that j*l - 8*l - 5*l**3 - 3 + 3 - t*l**2 = 0.
-1, 0
Let a be (0 - -93)/((-99)/(-363)). Let v = a + -1018/3. Suppose -5/3*b - v*b**2 + 5/3 + 5/3*b**3 = 0. Calculate b.
-1, 1
Let l be 8 + 2 - (-2 + -2 + 5) - 7. Let 3/4 - 21/4*x + 9/2*x**l = 0. Calculate x.
1/6, 1
Suppose 3*n + 5*c = 2, 0 = 3*n + 2*n - c - 22. Let u be 176/12 - n/(-12). What is t in -10 + 25*t - u - 5*t**2 + 5 = 0?
1, 4
Let y(g) = -3*g**2 + 794*g - 10264. Let b be y(251). Factor 0 - 66*l**2 - b*l + 15/4*l**3.
3*l*(l - 18)*(5*l + 2)/4
Let r(h) = 2*h**3 - 8*h**2 - 3*h - 4. Let c be r(6). Let n = c + -110. Factor -8*i**4 - 60*i**3 + 48*i**3 + n*i**2 + 12*i**4 - 4*i.
4*i*(i - 1)**3
Let q(x) = x**2 + 2871*x + 2982. Let y(s) = -2840*s - 2980. Let f(j) = 5*q(j) + 4*y(j). What is n in f(n) = 0?
-598, -1
Let f = -1856951 + 11141707/6. Factor -9/2*l - f*l**2 + 14/3.
-(l - 1)*(l + 28)/6
Let f(c) be the third derivative of -c**6/420 + c**5/70 + 10*c**4/21 - 4*c**3 + 738*c**2. Let f(r) = 0. Calculate r.
-6, 2, 7
Let w = 17053/510 - 2828/85. Determine k, given that -1/6*k - w*k**2 + 0 = 0.
-1, 0
Let v = 4/9 + 8/9. Let p = -62842/417 - -21040/139. Find r such that p*r**3 + 2/3*r**2 - v*r + 0 = 0.
-2, 0, 1
Let h = -72 + 72. Find u such that -60/11*u**3 + 6/11*u**4 + 102/11*u**2 - 48/11*u + h = 0.
0, 1, 8
Let b be ((-3)/2)/((-54)/108). Factor -3 + 11*w**4 + 3 - b*w**2 + 15*w**3 + 23*w**2 - 16*w**4.
-5*w**2*(w - 4)*(w + 1)
Let x(j) be the third derivative of -j**7/1470 + 943*j**6/70 - 8003241*j**5/70 + 7547056263*j**4/14 - 21350622168027*j**3/14 + 2*j**2 - 491*j. Factor x(r).
-(r - 2829)**4/7
Let i(n) = n**2 - 18*n + 47. Let b be i(15). Factor 24*l - 22*l - b*l**3 + 0*l**3 + 28*l - 28*l**2.
-2*l*(l - 1)*(l + 15)
Let q be (204/(-5))/(-17)*30/12. Solve 2/9*j**4 - 146/9*j + 16/3 - q*j**3 + 50/3*j**2 = 0 for j.
1, 24
Solve 1297*f**4 - 23544*f**3 + 223*f**2 - 1089*f**2 - 8*f - 3876*f**4 - 3253*f**4 = 0 for f.
-4, -1/54, 0
Let q(v) = -6*v**3 + v**2 + 36*v - 7. Let a be q(-5). Let u be 56/a - (272/210 + -2). Factor -4/5 + 8/5*t - u*t**2.
-4*(t - 1)**2/5
Let i = -1114283 - -1114286. Let 8/15*d + 0 + 8/15*d**2 + 2/15*d**i = 0. Calculate d.
-2, 0
Let d = -28 + 5. Let p = 25 + d. Factor -4*l**4 - 782*l + 782*l - 8*l**3 - 2*l**p - 2*l**2.
-4*l**2*(l + 1)**2
Suppose 33*g - 555 - 828 = -30. Let l(c) be the first derivative of -25/2*c**2 + 10*c + 10/3*c**3 - g. Factor l(q).
5*(q - 2)*(2*q - 1)
Let d(q) = -q**2 - 35*q. Let k = -116 + 112. Let m(c) = -2*c**2 - 37*c. Let i(r) = k*m(r) + 5*d(r). Factor i(z).
3*z*(z - 9)
Let r be (4/9)/2*126/14. Factor 722*o**r + 76*o + 7 + 2 - 7.
2*(19*o + 1)**2
Suppose 9*o - 3*o - 990 = 0. Find l such that 10*l**2 + 220*l - 115*l + 20*l**3 - 5*l**4 - o*l - 45 = 0.
-1, 3
Factor -998/5*t**2 - 4016/5*t + 2/5*t**3 - 4024/5.
2*(t - 503)*(t + 2)**2/5
Let y(r) be the second derivative of -45/8*r**2 - 85/24*r**4 + 5/56*r**7 + 11/24*r**6 - 5/8*r**5 + 0 - 107*r + 65/8*r**3. Determine x, given that y(x) = 0.
-3, 1/3, 1
Let d = 680 - 678. Factor 34*q**2 + 4 - 63*q**d - 2*q + 8*q + 32*q**2 - 13.
3*(q - 1)*(q + 3)
Let w(g) be the f