/2
Let j be (-226)/(-1356) - ((-273)/(-90))/(-7). Let m(f) be the second derivative of 3/2*f**4 + 3/2*f**2 - 11*f + 0 + 1/10*f**6 - j*f**5 - 2*f**3. Factor m(w).
3*(w - 1)**4
Let g(u) = -51*u - 54. Let d be g(8). Let n = 1399/3 + d. Solve 4/3 + 4*w + 1/3*w**4 + n*w**2 + 2*w**3 = 0.
-2, -1
Let y = 2642828/35 - 528525/7. Factor 6 - y*v - 1/5*v**2.
-(v - 1)*(v + 30)/5
Factor 227*b + 762*b + 5*b**2 + 0*b**2 - b**2 + 94864 + 243*b.
4*(b + 154)**2
Find q, given that 210/23*q + 2/23*q**3 + 108/23*q**2 + 104/23 = 0.
-52, -1
Let y(m) = m**5 + 5*m**4 + 5*m**3 + 5*m**2 + 2*m + 2. Let b(n) = 2*n**5 + 10*n**4 + 9*n**3 + 11*n**2 + 5*n + 5. Let o(v) = -2*b(v) + 5*y(v). Factor o(u).
u**2*(u + 1)**2*(u + 3)
Let k(c) be the third derivative of -c**7/315 + 17*c**6/45 - 64*c**5/15 + 188*c**4/9 - 496*c**3/9 + 5012*c**2. What is s in k(s) = 0?
2, 62
Let q(b) be the third derivative of b**6/240 + 47*b**5/120 + 703*b**4/48 + 1083*b**3/4 + 2419*b**2. Factor q(k).
(k + 9)*(k + 19)**2/2
Let n(g) be the first derivative of g**6/18 + g**5/3 + 7*g**4/12 + g**3/3 + 107. Suppose n(w) = 0. Calculate w.
-3, -1, 0
Determine g, given that -55*g**2 + 70*g**3 - 155*g + 10412 - 5225 - 5217 = 0.
-1, -3/14, 2
Let h(q) be the first derivative of 4*q**3/15 + 318*q**2/5 - 1288*q/5 + 1104. Factor h(c).
4*(c - 2)*(c + 161)/5
Let l be 18146/(-344) - -54 - (-87)/(-76). Solve -8/19 + 0*x + 6/19*x**2 + l*x**3 = 0.
-2, 1
Let r(m) be the first derivative of -1 + 1/330*m**5 - 13/2*m**2 + 0*m**4 + 0*m**3 + 0*m + 1/330*m**6. Let w(f) be the second derivative of r(f). Factor w(o).
2*o**2*(2*o + 1)/11
Let f = 15191/342 + -1595/38. Factor 2/9*d**3 - 8/3*d + 0 + f*d**2.
2*d*(d - 1)*(d + 12)/9
Suppose -15*j = -33*j - 9360. Let q = j + 522. Suppose 0*t**2 + 3/2*t**3 - q*t + 0 - 1/2*t**4 = 0. Calculate t.
-1, 0, 2
Let k(w) be the third derivative of 5*w**8/336 - w**7/21 - 11*w**6/24 + 2*w**5/3 + 25*w**4/6 - 40*w**3/3 + 145*w**2 - 12*w + 1. Solve k(x) = 0 for x.
-2, 1, 4
Let s(y) = -2*y**3 - 3*y + 1. Let i(t) = -22*t**3 + 1574*t**2 - 307340*t - 936140. Let o(c) = -i(c) + 10*s(c). Find q, given that o(q) = 0.
-3, 395
Let t be 2/20 + ((-113367)/230)/(-31). Let l(g) be the second derivative of -t*g - 1/14*g**4 + 0 + 0*g**3 + 0*g**2 + 3/28*g**5. Factor l(n).
3*n**2*(5*n - 2)/7
Factor 110/3*j**3 + 4000/9*j + 0 + 2/9*j**4 - 2/9*j**5 + 2150/9*j**2.
-2*j*(j - 16)*(j + 5)**3/9
Let q = 20 + -16. Let r be 0 + -4 + (48 - 0). Let j(m) = -m**2 - m + 1. Let l(k) = 12*k**2 + 15*k - 7. Let y(u) = q*l(u) + r*j(u). What is g in y(g) = 0?
-2
Let w(z) = -z**3 + 19*z**2 + 902*z + 2. Let v be w(-22). Let x = 95/21 + -27/7. Suppose -x*m**5 + 0 + 2/3*m**v + 0*m + 2*m**4 - 2*m**3 = 0. What is m?
0, 1
Let t(y) be the third derivative of -5*y - 5/8*y**4 - 1/20*y**5 + y**2 + 0 - 2*y**3. Factor t(b).
-3*(b + 1)*(b + 4)
Let v = -3301 + 3301. Let t(x) be the third derivative of 0 - 1/240*x**5 + v*x - 3/8*x**3 + 1/16*x**4 + 8*x**2. Suppose t(h) = 0. Calculate h.
3
Let h(k) be the first derivative of -5 - 8*k**3 + 0*k**2 + 0*k - 1/6*k**4. What is g in h(g) = 0?
-36, 0
Let x be ((24/(-132))/(-1) - 13/132)*4. Let v(q) be the second derivative of -2/5*q**5 + 2*q**2 + 0 - x*q**4 + 4/3*q**3 - 6*q. Factor v(c).
-4*(c - 1)*(c + 1)*(2*c + 1)
Let n(x) be the first derivative of x**4/48 - 13*x**3/12 + 169*x**2/8 + 27*x + 13. Let l(a) be the first derivative of n(a). Suppose l(i) = 0. What is i?
13
Factor 1/3*f**4 + 0 - 20*f + 64/3*f**2 - 19/3*f**3.
f*(f - 15)*(f - 2)**2/3
Suppose -4*x = 2*i - 12, -4*i + 0*i = 16. Let u be 2 - 3 - -3 - 0/x. Determine k so that -5/3*k**4 + 5*k**u + 40/3*k + 20/3 - 10/3*k**3 = 0.
-2, -1, 2
Suppose 8*k = 4*k + 196. Let w = -27 + k. Factor -2*c**5 + 24*c**3 - 2*c**2 + 2*c**4 - w*c**3 + 0*c**4.
-2*c**2*(c - 1)**2*(c + 1)
Let x(h) be the first derivative of 2*h**3/27 - 7*h**2/3 + 160*h/9 - 741. Factor x(p).
2*(p - 16)*(p - 5)/9
Let t(z) be the second derivative of -z**4/8 - 289*z**3/2 - 250563*z**2/4 - 1001*z. Find q, given that t(q) = 0.
-289
Suppose -55177 = -529*p - 53061. Find g such that 2*g**3 - 11/2*g - 4 - 1/4*g**p + 3/4*g**2 = 0.
-1, 2, 8
Let i(u) be the first derivative of -u**6/24 + 3*u**5/20 + 23*u**4/16 - 9*u**3/4 - 11*u**2/4 + 6*u - 5406. What is h in i(h) = 0?
-4, -1, 1, 6
Let l(d) be the third derivative of -2*d**7/105 + d**6/2 + 31*d**5/5 + 137*d**4/6 + 40*d**3 - 35*d**2 + 14*d - 1. Factor l(n).
-4*(n - 20)*(n + 1)**2*(n + 3)
Factor -21*d**3 - 39/2*d**2 + 0 - 3/2*d**4 + 0*d.
-3*d**2*(d + 1)*(d + 13)/2
Find x, given that 107*x - 3*x**4 - 2726084 - 243*x**2 + 130*x + 2726006 + 87*x**3 = 0.
1, 26
Suppose 2*t = -4*d + 4, -t = d + 4*t - 10. Suppose -6*j = -d*j - 24. Factor 37/10*s**j + 3/10*s**5 + 81/10 + 351/10*s + 189/5*s**2 + 87/5*s**3.
(s + 3)**4*(3*s + 1)/10
Let u be ((-12)/(-9))/(((-2)/(-9))/(42/378)). Let j(n) be the first derivative of -u*n**3 + 11 - 2*n + 2*n**2. Suppose j(z) = 0. What is z?
1
Let i(c) = c**3 + 26*c**2 - 2*c - 32. Let g be i(-26). Let -53*u - g*u**4 - 2*u**5 - 8*u**2 + 56*u**3 + u + 28 - 2*u**5 = 0. Calculate u.
-7, -1, 1
Suppose 7 = 4*r - 321. Let n = -24 + r. Determine a so that -56 + a**3 - 3*a**4 + n + 2*a**4 - 5*a + 3*a**2 = 0.
-2, 1
Suppose 4*s - 2*k = 6*s, -6*k - 18 = -3*s. Let u(w) be the first derivative of 0*w + 1/9*w**3 + 1/9*w**s + 17 + 1/36*w**4. Factor u(c).
c*(c + 1)*(c + 2)/9
Let p(d) be the third derivative of -d**9/7056 - 3*d**8/3920 - d**7/980 + 209*d**3/6 - 2*d**2 - 19*d. Let m(y) be the first derivative of p(y). Factor m(w).
-3*w**3*(w + 1)*(w + 2)/7
Let n(v) be the second derivative of v**7/2520 - 13*v**6/720 + 11*v**4/12 + v - 32. Let x(f) be the third derivative of n(f). Factor x(o).
o*(o - 13)
Let m(h) be the third derivative of -1/30*h**5 - 75*h**2 + 26/3*h**4 + 0 + 0*h - 2704/3*h**3. Let m(u) = 0. Calculate u.
52
Let r(a) be the second derivative of -2*a**7/105 - a**6/30 + a**5/30 - 11*a**3/3 + 15*a + 2. Let m(s) be the second derivative of r(s). Factor m(o).
-4*o*(o + 1)*(4*o - 1)
Let r(x) = x**4 - 6*x**3 - 4*x**2 - 3*x + 3. Let h(p) = -18*p**3 + 6034*p**4 - 12*p**2 + 5 - 6032*p**4 + 3 - 8*p. Let z(c) = -3*h(c) + 8*r(c). Factor z(s).
2*s**2*(s + 1)*(s + 2)
Let t(j) be the third derivative of -j**5/210 + 1145*j**4/84 - 15138*j**2. Let t(s) = 0. What is s?
0, 1145
Let f = -51836 + 414725/8. Factor -f*n - 5/4 - 7/8*n**2.
-(n + 5)*(7*n + 2)/8
Factor 10*w**4 - 39*w**4 + 10*w**4 + 1304*w + 864 + 20*w**4 + 660*w**2 + 114*w**3.
(w + 2)**3*(w + 108)
Let z(y) = -4*y**2 - 50*y + 60. Let k be (-18)/22 + 52/(-286). Let m(c) = c**2 - 2*c. Let l(j) = k*z(j) - 6*m(j). Let l(u) = 0. What is u?
1, 30
Solve 120*v**3 + 138*v**2 - 27/2 + 12*v = 0 for v.
-9/10, -1/2, 1/4
Factor -3/5*b**3 + 393/5*b - 186/5*b**2 + 576/5.
-3*(b - 3)*(b + 1)*(b + 64)/5
Let j(b) = -11*b**2 - 652*b - 290. Let q(l) = 9*l**2 + 652*l + 280. Let i(r) = 2*j(r) + 3*q(r). Let i(m) = 0. Calculate m.
-130, -2/5
Let p = -871 - -908. Suppose i = p*i - i. Determine q so that 0*q**2 - 6/5*q**4 - 1/5*q**5 - 9/5*q**3 + i*q + 0 = 0.
-3, 0
Let w(y) be the first derivative of -925/12*y**4 + 1130/9*y**3 + 4/3*y**5 - 75/2*y**2 + 0*y - 230. Solve w(x) = 0.
0, 1/4, 1, 45
Solve -3538/7*m + 26912/7 + 148/7*m**2 - 2/7*m**3 = 0.
16, 29
Let m = -53 - -57. Let q be 12/8 + 110/m. Factor -356*d**2 - q*d - 79*d - 5184*d**3 - 306*d**2 - 634*d**2 - 3.
-3*(12*d + 1)**3
Let v(c) = -8*c**3 + 24*c**2 - 1188*c - 5488. Let z(j) = -j**3 + 18*j**2 - 2*j. Let t(p) = -v(p) + 6*z(p). Factor t(y).
2*(y + 14)**3
Let f(o) be the third derivative of o**5/15 - 3*o**4 - 96*o**3 + 4269*o**2. Determine k, given that f(k) = 0.
-6, 24
Let h(x) be the first derivative of -49*x**5/5 - 133*x**4/2 - 27*x**3 + 58*x**2 - 20*x - 572. Find p, given that h(p) = 0.
-5, -1, 2/7
Let m = -4279 - -4308. Let z(b) be the first derivative of -4/3*b**3 + 0*b + m + b**4 - 4*b**2. Let z(l) = 0. Calculate l.
-1, 0, 2
Let f(w) be the third derivative of w**8/616 - 2*w**7/1155 - 37*w**6/660 - 2*w**5/55 + 34*w**2 + 7. Let f(u) = 0. Calculate u.
-3, -1/3, 0, 4
Let i(l) be the first derivative of 4*l**5/15 + 4*l**4 + 20*l**3 + 36*l**2 + 1611. Factor i(w).
4*w*(w + 3)**2*(w + 6)/3
Suppose -33269*l + 62 = -33238*l. Factor 16*m**l - 392/3 - 28*m - 4/3*m**3.
-4*(m - 7)**2*(m + 2)/3
Let w(o) be the first derivative of -12*o - 82 - 8/5*o**5 + 12*o**3 + 2*o**2 + 3*o**4. Solve w(h) 