**4 - 345*s**3 + 430*s**2 + 37 - 512 = 0. What is s?
-1, 2, 3, 10
Suppose 4*l - 5*r - 93 = 0, r - 2*r = 4*l - 63. Suppose 3*w - l*g + 20*g = 12, -2*g = -4. Factor -5/2*i**w + 0 + i.
-i*(5*i - 2)/2
Let p(u) be the second derivative of -u**5/12 - 85*u**4/24 + 95*u**3/3 + 37*u**2/2 + 154*u. Let c(l) be the first derivative of p(l). What is z in c(z) = 0?
-19, 2
Let n(x) be the second derivative of x**5/180 - 289*x**4/36 - 434*x**3/27 + 2*x + 24. Factor n(v).
v*(v - 868)*(v + 1)/9
Let n(s) = -s**4 + s**2 + 34*s. Let y(j) = -j**4 - 96*j**3 - 782*j**2 - 1136*j - 585. Let b(m) = -4*n(m) + y(m). Factor b(v).
3*(v - 39)*(v + 1)**2*(v + 5)
Let t(j) be the first derivative of j**5/270 + 11*j**4/108 + 10*j**3/27 + 56*j**2 + j + 30. Let q(p) be the second derivative of t(p). Factor q(s).
2*(s + 1)*(s + 10)/9
Let f be 5/((-100)/(-48)) + 3*(-2)/(-10). Let x(t) be the first derivative of 1/5*t**5 + 9*t - 2/3*t**f - 6*t**2 - 7 + t**4. Factor x(k).
(k - 1)**2*(k + 3)**2
Solve 88/5*z**3 + 2/5*z**4 + 1144*z + 920 + 1206/5*z**2 = 0 for z.
-23, -10, -1
Let t(m) be the third derivative of m**8/70560 + m**7/17640 - 21*m**5/20 + 11*m**2. Let v(h) be the third derivative of t(h). What is u in v(u) = 0?
-1, 0
Let s = 3 - 0. Let w be ((-77616)/(-3773) - (1 + 11)) + 8*-1. Factor -4/7*u**2 + 0*u + 0 - w*u**s.
-4*u**2*(u + 1)/7
Let c(z) = z**2 - 108*z + 3. Let i be c(0). Let j(o) be the first derivative of 2*o**2 - 4*o**3 + 0*o + 13 + i*o**4 - 4/5*o**5. Factor j(x).
-4*x*(x - 1)**3
Let d be ((-1640)/(-12) - (-6)/(-9))*1. Let a = d + -136. Let -1/5*j - 1/5*j**2 + a = 0. Calculate j.
-1, 0
Let l(g) be the first derivative of -g**4/24 + 215*g**3/18 - 107*g**2/6 + 577. Find q, given that l(q) = 0.
0, 1, 214
Let f(q) be the second derivative of -208/9*q**3 + 21*q + 34/3*q**4 + 70/3*q**2 - 32/15*q**5 + 1 - 2/45*q**6. Factor f(h).
-4*(h - 1)**3*(h + 35)/3
Let q(j) be the third derivative of 56*j**2 + 0*j - 3/56*j**4 - 20/7*j**3 + 1/140*j**5 + 0. Factor q(y).
3*(y - 8)*(y + 5)/7
Solve -92/13*c + 18/13*c**2 + 74/13 = 0.
1, 37/9
Suppose -13 = 4*t + 31. Let h = 13 + t. Factor -5*i**2 - 2*i**h + i**2 + i**2.
-5*i**2
Let f(i) = -2*i**3 - 18*i**2 - 52*i - 38. Let o(t) = 123 + 8*t**3 + 124*t + 110*t**2 - 39*t**2 - 67*t + 150*t + 30. Let z(a) = -18*f(a) - 4*o(a). Factor z(s).
4*(s + 1)*(s + 3)*(s + 6)
Let x(r) be the first derivative of 11/8*r**3 + 31/16*r**2 + 1/40*r**5 + 5/4*r + 61 + 13/32*r**4. Factor x(o).
(o + 1)**3*(o + 10)/8
Let j = -1452/30215 + 6196283/13626965. Let d = -3/451 + j. Determine u, given that 0*u + 0*u**3 + 0 + 0*u**2 - d*u**4 - 2/5*u**5 = 0.
-1, 0
Suppose 13 = -g + 5*p, -2*g - 14*p = -15*p - 1. Determine f so that 0 - 1/5*f**3 + 0*f + 4/5*f**g = 0.
0, 4
Let u(g) be the second derivative of -1/54*g**4 + 0*g**2 + 7/27*g**3 - 2*g + 8. Factor u(x).
-2*x*(x - 7)/9
Let m(q) = 2*q**5 + q**3 + 1. Let t be (-3)/((-2)/4*9)*-3. Let f(b) = 3*b**5 + 10*b**4 + 5*b**3 - 32*b**2 + 20*b + 2. Let c(g) = t*m(g) + f(g). Factor c(i).
-i*(i - 10)*(i - 1)**2*(i + 2)
Let k(g) = -4*g + 37. Let h be k(0). Let o = -35 + h. Determine x, given that -2*x**o + 7*x**2 - x + 6*x = 0.
-1, 0
Suppose -6*s - 48*s = -270. Suppose -15 = s*m - 5*g, -g - 6 = 5*m - 9. Let 0*x - 3/4*x**4 - 9/2*x**3 - 15/4*x**2 + m = 0. What is x?
-5, -1, 0
Suppose -31 + 39 = 8*t. Let x be (-462)/(-490) - t/7. Factor x*z**3 - 1/5 - 4/5*z + 1/5*z**2.
(z - 1)*(z + 1)*(4*z + 1)/5
Let m be 3 - ((-4)/1 + 78647/11935). Let y = -4/385 + m. Factor -16/5 + y*t**3 - 8/5*t + 4/5*t**2.
2*(t - 2)*(t + 2)**2/5
Let t = -333 - -336. Let j = 686 - 686. What is p in 3/8*p + 3/8*p**t + j - 3/4*p**2 = 0?
0, 1
Let j be (48 - 48)*1/7. Let n(k) be the second derivative of 1/130*k**5 + j*k**2 + 0 + 0*k**3 - 10*k - 1/78*k**4. Suppose n(a) = 0. What is a?
0, 1
Let a(v) be the first derivative of 45*v**4/4 + 440*v**3/3 + 310*v**2 - 160*v - 4424. Factor a(d).
5*(d + 2)*(d + 8)*(9*d - 2)
Let d(v) be the first derivative of -v**3/3 - 327*v**2 + 655*v - 5778. Factor d(y).
-(y - 1)*(y + 655)
Suppose 130 = -19*y + 32*y. Let -240*a**3 - y*a**4 + 455*a + 790*a + 5*a**5 + 650*a**2 - 370*a = 0. Calculate a.
-7, -1, 0, 5
Let j(u) be the third derivative of u**8/504 - 23*u**7/315 + 31*u**6/60 - 49*u**5/90 - 47*u**4/18 + 8*u**3 + 7157*u**2. Let j(y) = 0. Calculate y.
-1, 1, 4, 18
Let b be 6/(-11) - 530/(-770) - -5. Determine m so that -30/7*m + b + 6/7*m**2 = 0.
2, 3
Let k(y) = 11*y**3 + 344*y**2 + 343*y - 5. Let d(f) = -4*f**3 - 172*f**2 - 172*f + 2. Let h(q) = -5*d(q) - 2*k(q). Find i, given that h(i) = 0.
-1, 0, 87
Let r = -407954 - -1223870/3. Factor -6*h**2 + 2/3*h**4 - r - 2/3*h**3 - 22/3*h.
2*(h - 4)*(h + 1)**3/3
Suppose -16*l = -62*l + 1564. Factor -164*c - l*c**2 + 210*c + 6*c**3 + 2*c**2 - 12.
2*(c - 3)*(c - 2)*(3*c - 1)
Factor 1/9*l**2 - 2422/9*l + 1466521/9.
(l - 1211)**2/9
Solve 0 - 322/5*p + 2/5*p**3 - 64*p**2 = 0 for p.
-1, 0, 161
Let f = -1625952 + 8129772/5. Let w be (-1)/(-2) - (-11)/10. Let 4/5*u**4 + 12/5*u**3 + 4/5*u**2 - f*u - w = 0. Calculate u.
-2, -1, 1
Let o(i) = -174*i**2 - 1308*i + 351. Let v = 125 + -131. Let j be 324/v*2/(-4). Let b(k) = 25*k**2 + 187*k - 50. Let d(p) = j*b(p) + 4*o(p). Solve d(y) = 0.
-9, 2/7
Let q = -18750 - -18753. Let c(k) be the second derivative of -5/6*k**q + 5/2*k**2 - 5/12*k**4 + 1/4*k**5 - 27*k + 0. Factor c(t).
5*(t - 1)**2*(t + 1)
Factor 152 + 29*z**2 - 14*z**2 - 12*z**2 - 5*z**2 + 162*z - 132*z.
-2*(z - 19)*(z + 4)
Let r = -1639 - -2752. Let u = r - 1112. Factor 3/10*y + 1/10*y**2 - u.
(y - 2)*(y + 5)/10
Let r(i) be the first derivative of -5*i**6/6 + 28*i**5 - 775*i**4/4 + 760*i**3/3 + 840*i**2 - 3319. Solve r(t) = 0.
-1, 0, 4, 21
Let c be ((-462)/(-3564))/(14/3). Let x(y) be the third derivative of 0*y - 25/72*y**4 + 5/3*y**3 - c*y**5 + 27*y**2 + 0. Let x(k) = 0. Calculate k.
-6, 1
Suppose 4*g = -12, r - 84 = -2*r + 2*g. Suppose 1 + r = 3*v. Factor -25*b - 11 + 12 - 5*b**2 + v + 20.
-5*(b - 1)*(b + 6)
Suppose 11*u - 28 = 4*u. Suppose -2 = -u*j + 6. Factor 12*i + 9*i**2 - 9*i**j + 12 + 3*i**2.
3*(i + 2)**2
Let q be (-34)/(0 - (1 - 2)). Let u be 2*q/(-20) - (-12)/20. Factor -u*y**3 + 4*y**2 - y**4 + 0*y**2 - 3*y**4 + 4*y**5.
4*y**2*(y - 1)**2*(y + 1)
Let x = -41 + 97. Let h = 59 - x. Factor 5*p + h*p**2 - 5*p**3 + 16*p**2 - 9*p**2 - 10.
-5*(p - 2)*(p - 1)*(p + 1)
Let h(g) be the second derivative of g**6/30 + 9*g**5/4 - 49*g**4/6 - 30*g**3 + 188*g**2 + 1207*g. Suppose h(u) = 0. What is u?
-47, -2, 2
Let s(w) be the second derivative of -2 - 19/3*w**3 + 38*w - 361/2*w**2 - 1/12*w**4. Let s(i) = 0. Calculate i.
-19
Let f(g) = -3*g**3 + 4*g**2 - 8*g + 3. Suppose 3*w - w = -3*r + 8, -3*r = w - 10. Let q(d) = 2*d**3 + d**2 + 1. Let v(b) = r*f(b) + 4*q(b). Factor v(t).
-4*(t - 2)**2*(t - 1)
Suppose -12/7*t**2 - 110/7*t + 0 + 2/7*t**3 = 0. Calculate t.
-5, 0, 11
Let x(b) be the first derivative of -2*b**3/3 - 198*b**2 + 398*b - 750. Find a such that x(a) = 0.
-199, 1
Let r(a) = a**3 - 19*a**2 + 9*a - 52. Let u be r(21). Let h = u - 1004. Factor 65/2*m - 20*m**2 - h + 5/2*m**3.
5*(m - 6)*(m - 1)**2/2
Factor 0 + 476/3*j + 1/3*j**2.
j*(j + 476)/3
Let f(u) be the first derivative of -48/5*u - 120 - 8/25*u**5 + 21/5*u**4 + 48/5*u**3 + 2/5*u**2. Let f(w) = 0. What is w?
-1, 1/2, 12
Let c(y) be the first derivative of y**9/1512 - y**7/420 - 2*y**3 - y**2/2 - 22. Let i(u) be the third derivative of c(u). What is m in i(m) = 0?
-1, 0, 1
Factor 1/8*a**4 - 333/4*a + 0 - 435/8*a**2 - 17/2*a**3.
a*(a - 74)*(a + 3)**2/8
Suppose -43*v = 29*v. Let t(b) be the first derivative of -2/51*b**3 + 0*b**2 - 1/34*b**4 + v*b - 25. Factor t(h).
-2*h**2*(h + 1)/17
Find b, given that 19 - 3*b**4 - 175*b**3 - 252*b**2 + 14*b**3 - 19 + 101*b**3 = 0.
-14, -6, 0
Factor 920*r - 1095/4*r**2 - 25.
-5*(3*r - 10)*(73*r - 2)/4
Find s such that 3568*s**2 - 51349*s**3 + 1 + 51345*s**3 - 795664*s - 1 = 0.
0, 446
Let p(f) be the first derivative of 21 + 0*f**2 + 4/39*f**3 + 1/130*f**5 - 14*f + 2/39*f**4. Let j(s) be the first derivative of p(s). Let j(u) = 0. What is u?
-2, 0
Let t(a) be the third derivative of a + 1/480*a**6 + 1/40*a**5 + 26*a**2 + 0*a**3 + 3/32*a**4 + 0. Determine m so that t(m) = 0.
-3, 0
Let s(t) be the second derivative of t**4/48 + 11*t**3/3 - 89*t**2/8 + 7802*t. Let s(v) = 0. What is v?
-89, 1
Let 117/2*a**2 - 1/2*a**4 + 263/2