x + 261/5*x**2 - 3/5*x**3 - 6348.
-3*(x - 46)**2*(x + 5)/5
Let r be 2/8 + (-330)/(-88). What is v in v**2 - r*v - 51 + 19*v + 5 + 12 = 0?
-17, 2
Suppose 2*i + 14 = -4*h, 2*i - 35 = 7*i. Let v(j) be the first derivative of h*j + 6*j**2 + 3/4*j**4 + 4*j**3 + 29. Let v(l) = 0. What is l?
-2, 0
Let h(n) be the first derivative of 125 - 245/3*n**3 - 180*n - 210*n**2. Let h(a) = 0. What is a?
-6/7
Let t(i) be the first derivative of i**4/16 - 475*i**3/4 + 676875*i**2/8 - 107171875*i/4 - 538. What is f in t(f) = 0?
475
Let g(p) be the third derivative of p**7/2520 + p**6/360 + p**5/120 + p**4/72 - p**3 + 2*p**2 - 17*p. Let w(q) be the first derivative of g(q). Factor w(r).
(r + 1)**3/3
Let m(j) = 4*j**2 - 7*j + 10. Let d = -11 + 25. Suppose 217*s + 568 = -300. Let i(o) = o**2 - 2*o + 3. Let f(p) = d*i(p) + s*m(p). Let f(c) = 0. Calculate c.
-1, 1
Suppose i = -3*z + 10, 0 = 1858*i - 1859*i + 4. Factor 2/7*p**z - 78/7 + 20/7*p.
2*(p - 3)*(p + 13)/7
Let v(p) = 25*p + 266. Let k be v(-6). Suppose -36*n = 22*n - k. Find a such that -1/10*a**3 - 7/10*a**n - 8/5*a - 6/5 = 0.
-3, -2
Suppose 4*t = -563 + 1731. Let 500*s - 4*s**2 - 2330 - t*s - 374 = 0. Calculate s.
26
Let o be (3 + 27/(-12))*(-30 - (-918)/27). Factor 2/3*f**5 + 0 + 14/3*f**o - 10/3*f**4 + 0*f - 2*f**2.
2*f**2*(f - 3)*(f - 1)**2/3
Suppose 2*o = -4*y + 30, 62*y - 4*o + 33 = 61*y. Find j such that 17/4*j**2 - 1/4*j**y - 4*j + 0 = 0.
0, 1, 16
Suppose -9*p - 35 = -14*p. Suppose 2*g - 34 = -5*i + i, 5*i + p = 2*g. Let -7*w**3 + g*w**3 - 6*w**5 + 2*w**5 = 0. Calculate w.
-1, 0, 1
Let j(a) be the third derivative of -a**8/360 + 212*a**7/1575 + 127*a**6/300 + 49*a**5/225 - 16*a**4/45 - 99*a**2 - 5. Solve j(l) = 0 for l.
-1, 0, 2/7, 32
Suppose 475*y - 433*y - 132 = -48. Let z(x) be the second derivative of 0*x**3 + 0 - 15/2*x**5 + 21/10*x**6 + 33/4*x**4 + 6*x - 6*x**y. Solve z(a) = 0 for a.
-2/7, 2/3, 1
What is z in -26/5*z**4 + 0 + 2/5*z**5 + 4*z**3 + 0*z + 48/5*z**2 = 0?
-1, 0, 2, 12
Let q be (-1*1/46)/(5446/(-21784)). Determine y, given that 4/23*y**2 - 4/23 - 2/23*y**3 + q*y = 0.
-1, 1, 2
Let k = -18501/40 - -3857/8. Factor -k*x + 0 - 2/5*x**3 + 28/5*x**2.
-2*x*(x - 7)**2/5
Let q(u) be the first derivative of 3*u**6/11 + 372*u**5/55 - 34*u**4/11 - 212*u**3/33 - 21*u**2/11 + 6254. What is i in q(i) = 0?
-21, -1/3, 0, 1
Let a = -265834 + 1329197/5. Factor -39/5*o**2 + 3 + 3/5*o - a*o**3.
-3*(o + 1)**2*(9*o - 5)/5
Let i(j) be the third derivative of 13*j**2 + 1/15*j**5 + 1/24*j**4 - 1/60*j**6 + 0 - 1/105*j**7 - 1/3*j**3 + 1/336*j**8 + 0*j. Factor i(o).
(o - 2)*(o - 1)**2*(o + 1)**2
Suppose 2*z - 43 = z + 3*g, -5*z + 2*g + 280 = 0. Let t(c) = 19*c + 1. Let f be t(2). Solve -11*q**3 - z*q**2 + 31*q**3 + 32*q + f*q**2 - 69*q**2 = 0 for q.
0, 2/5, 4
Suppose 4*g + 4 = 20. Factor 0 + 0 - 16*j**3 + 30*j**g - 59*j**3 - 11*j**5 + 8*j**5.
-3*j**3*(j - 5)**2
Let l(a) be the first derivative of 2*a**5/35 + 5*a**4/14 - 2*a**3 + 23*a**2/7 - 16*a/7 - 1060. Let l(i) = 0. Calculate i.
-8, 1
Let r be 3/27 + (1/7 - 897/(-189)). Let j(y) be the third derivative of -2/27*y**4 + 0*y - 1/270*y**r - 13*y**2 - 16/27*y**3 + 0. Factor j(h).
-2*(h + 4)**2/9
Suppose -2*j - 31 = -3*k, -j = -4*k + 4 + 29. Suppose k*h = 32 + 192. Find a such that -33*a**3 - h + 0*a**2 - 120*a**2 - 112*a - 3*a**3 = 0.
-2, -2/3
Let z(m) = 51*m**3 + 9 - 27*m**3 - 89*m**2 - 97*m - 25*m**3. Let y(v) = -22*v**2 - 24*v + 2. Let c(f) = 18*y(f) - 4*z(f). Factor c(t).
4*t*(t - 11)*(t + 1)
Let y(p) be the second derivative of 307*p**4/78 + 2*p**3/39 - 4104*p. Find m, given that y(m) = 0.
-2/307, 0
Let x(l) be the first derivative of -4*l**3/15 - 24*l**2 + 496*l/5 - 1172. What is q in x(q) = 0?
-62, 2
Let l(v) be the first derivative of -10/17*v**2 - 46 - 2/51*v**3 + 0*v. Solve l(k) = 0.
-10, 0
Find w such that 0 - 4/7*w - 3/7*w**2 + 1/7*w**3 = 0.
-1, 0, 4
Let h(j) = -j**2 + 2. Let q(l) = -8*l + 12. Let k = 143 + -142. Let c(y) = k*q(y) - 2*h(y). Factor c(w).
2*(w - 2)**2
Let r = 60 + -63. Let q(w) = 3*w**2 + 9*w - 9*w - 4*w**2. Let p(d) = d**2 + 5*d - 4. Let s(u) = r*p(u) - 6*q(u). Determine o, given that s(o) = 0.
1, 4
Suppose -15 = -4*n + n. Let w = 2036 - 2031. Determine o, given that 2204*o - 2204*o - w*o**2 + n = 0.
-1, 1
Factor -16*f**4 + 3438*f**5 - 1720*f**5 - 240*f**3 + 49*f**4 - 1713*f**5 + 32*f**4.
5*f**3*(f - 3)*(f + 16)
Suppose r + 5*j - 10*j = -420, 4*r = -2*j - 1614. Let u be (-3555)/r - (-3)/(-27). Factor -143/3*t**3 - 2/3 - 121/6*t**4 - u*t - 71/2*t**2.
-(t + 1)**2*(11*t + 2)**2/6
Let a = 363109/484156 + 2/121039. Determine h so that 0 - a*h**3 - 9/4*h**2 - 3/2*h = 0.
-2, -1, 0
Let o(g) be the third derivative of -g**6/6 + 5*g**5/12 - 5*g**4/24 + 4104*g**2. Solve o(m) = 0 for m.
0, 1/4, 1
Let r(c) = 10*c**2 - 253*c + 77. Let j be r(25). Let l(h) be the first derivative of 2/3*h**6 + 0*h - 3*h**4 + 0*h**5 - 8/3*h**3 - 16 + 0*h**j. Factor l(o).
4*o**2*(o - 2)*(o + 1)**2
Let x(m) be the second derivative of 0*m**2 + 0 - 4*m**4 - 3/20*m**5 + 30*m + 0*m**3. Factor x(k).
-3*k**2*(k + 16)
Suppose 0 = q - 3, 4*c + 5*q - 4*q - 3903 = 0. Factor -67*p**2 + 202*p**2 + 291 + c*p - 350 + 5*p**3 + 904.
5*(p + 1)*(p + 13)**2
Let a(o) = -16344*o + 16347. Let f be a(1). Factor -16/5*c**2 - 32/5 + 2/15*c**4 - 128/15*c + 0*c**f.
2*(c - 6)*(c + 2)**3/15
Let m = 338 + -335. Factor 2*d**3 + 7*d**m - 11*d**3 + 199*d**2 - 134*d + 5*d**3.
d*(d + 67)*(3*d - 2)
Let c = -758033/4 - -189511. Let c*a**2 + 43/8*a - 1/4 = 0. Calculate a.
-2, 1/22
Let c = 15 - 13. Let h be ((-39)/(-156))/(1/12). Factor -18 - 18 - h*w**c - 9*w - 27 + 57.
-3*(w + 1)*(w + 2)
Let c be (-19125)/(-850) + (-22)/1. Let s(f) be the first derivative of 1/18*f**3 + 3/2*f + c*f**2 - 32. What is m in s(m) = 0?
-3
Let r(a) be the third derivative of -a**6/40 - 3*a**5/2 - 183*a**4/8 - 77*a**3 + 1313*a**2 - a. Factor r(z).
-3*(z + 1)*(z + 7)*(z + 22)
Let p be (-645)/(-2150)*(-20)/(-3). Let r(l) be the second derivative of 0*l**p - 7*l + 1/200*l**5 - 1/60*l**3 + 1/300*l**6 + 0 - 1/120*l**4. Factor r(z).
z*(z - 1)*(z + 1)**2/10
Suppose 103*y - 101 + 21 = 31 + 95. Suppose -4/7*b**y + 48/7 + 4/7*b = 0. Calculate b.
-3, 4
Let b = -261/173 - -5979/1211. Factor 0 + 20/7*d**4 - 16/7*d**2 + 32/7*d - b*d**3 - 4/7*d**5.
-4*d*(d - 2)**3*(d + 1)/7
Let f = -25 + 30. Let a(j) = -j**3 + 6*j**2 - 2*j - 5. Let g be a(f). Factor 7 - 5*h**2 - 2 - 10*h + g*h.
-5*(h - 1)*(h + 1)
Factor 315*g**2 - 587*g**2 + 268*g**2 - 60*g.
-4*g*(g + 15)
Suppose -5*h = 4*l + 48, -38 = -h + 3057*l - 3055*l. Solve 2/9*u + 22/3*u**2 - 4/9*u**h + 38/9*u**3 - 22/9 = 0 for u.
-1, 1/2, 11
Let d(u) be the first derivative of -2*u**5/5 + 9*u**4/2 + 24*u**3 + 4*u**2 - 96*u - 670. Solve d(o) = 0 for o.
-2, 1, 12
Let u be 60*(45/10)/(-9). Let a be (36/(-30))/(9/u). Let -6*n**4 + 13*n**3 + 2*n**5 + 2*n**2 - 15*n**3 + a*n**4 = 0. What is n?
-1, 0, 1
Let i(r) be the first derivative of -2*r**6/9 + 73*r**5/15 - 57*r**4/2 + 9*r**3 - 2891. Factor i(u).
-u**2*(u - 9)**2*(4*u - 1)/3
Let a(t) = -25 + 7*t**2 - 19*t - 2*t**3 - 16*t**2 + 3*t**3. Let i be a(11). Factor -4 + 6*z**2 - 12*z + 4 + i*z.
2*z*(3*z - 2)
Let k(v) be the second derivative of 5*v**7/42 + 41*v**6/2 - 249*v**5/4 + 625*v**4/12 + 2*v - 137. What is u in k(u) = 0?
-125, 0, 1
Let p(x) be the first derivative of 86/7*x**3 + 5547/7*x**2 + 159014/7*x + 1/14*x**4 + 91. Factor p(k).
2*(k + 43)**3/7
Let o be (-28)/1260 + 14756/3060. Find t such that 8/5*t**4 + 8/5 - 4/5*t - o*t**2 - 4/5*t**3 = 0.
-1, 1/2, 2
Let q = 36598/344793 - 16/18147. Let 2/19*l**3 + 0 - q*l + 0*l**2 = 0. What is l?
-1, 0, 1
Let a(q) = 950*q + 4753. Let g be a(-5). Let b = -12 - -16. Factor -4/7*t**4 - 8/7 - 20/7*t**g - b*t - 36/7*t**2.
-4*(t + 1)**3*(t + 2)/7
Let d(a) = -527*a + 64824. Let n be d(123). Let 0 + 6*q**2 - 3/2*q**4 - 2*q**n + 1/2*q**5 + 0*q = 0. Calculate q.
-2, 0, 2, 3
Suppose -198 - 32/3*h**3 - 336*h**2 + 522*h = 0. Calculate h.
-33, 3/4
Let i(q) = -q**3 - 10*q**2 + 11*q + 22. Let d be i(-11). Suppose 14*o - 202 = d. Factor -2575 - o*z**2 - 2*z**4 + 2575 + 8*z + 10*z**3.
-2*z*(z - 2)**2*(z - 1)
Let b(g) be the second derivative of 1/10*g**6 + 3 + g + 19/5*g**5 - 182/3*g**3 - 169/2*g**2 + 227/6*g**4. Determine m, given that b(m) = 0.
-13, -1/3, 1
Let i(a) be the first derivative of -4/3*a**3 - 23*a**4 + 28/5*a**5 + 46*a