*4/36 - 949*z**3/6 - 1423*z**2/3 - 243*z + 5. Factor a(x).
-(x + 1)*(x + 2846)/3
Let o(l) be the first derivative of -l**4/20 - 34*l**3/15 - 327. Let o(f) = 0. Calculate f.
-34, 0
Let m(j) = -j**3 - j**2. Let f be -2*(12/(-8) - (-5)/2). Let o be f/(32/20) + (-3)/4. Let i(c) = c**3 - c**2 - 2*c. Let z(v) = o*i(v) - 6*m(v). Factor z(q).
4*q*(q + 1)**2
Let i(z) be the first derivative of 1/27*z**3 - 1/6*z**2 + 0*z - 41. Factor i(x).
x*(x - 3)/9
Let o(g) = 95*g**2 + 655*g - 100. Let j(r) = 23*r**2 + 164*r - 24. Let x(s) = 25*j(s) - 6*o(s). Solve x(l) = 0 for l.
-34, 0
Find r, given that -2/11*r**3 + 2/11*r + 548/11 - 548/11*r**2 = 0.
-274, -1, 1
Find g such that 0 - 56/3*g**3 - 4*g - 62/3*g**2 + 2/3*g**4 + 8/3*g**5 = 0.
-2, -1, -1/4, 0, 3
Let j(p) be the second derivative of p**4/21 + 422*p**3/21 + 60*p**2 + 45*p + 4. Determine u, given that j(u) = 0.
-210, -1
Factor -193 - 159*u**2 - 2 + 41*u - 316*u + 74*u**2 - 5*u**3.
-5*(u + 1)*(u + 3)*(u + 13)
Let y(o) = 6*o + 79. Let z be y(-14). Let j(i) = -5*i**2 + 3*i + 2. Let u(a) = -4*a**2 + 2*a. Let h(l) = z*j(l) + 6*u(l). Factor h(w).
(w - 5)*(w + 2)
Let b = 204016174/209 + -976152. Let z = b + -30/19. Find x, given that -z*x - 2/11*x**3 + 6/11*x**2 + 0 = 0.
0, 1, 2
Factor -18*n**2 + 10*n**3 + 6*n + 2*n**3 + 5*n**3 + 38*n - 19*n**3.
-2*n*(n - 2)*(n + 11)
Let x(s) = -s**2 - 18*s - 29. Let g be x(-7). Let l be 1/(14/g) + 21/(-49). Determine u, given that -1/2*u**2 - 2*u**l + 0*u + 5/2*u**4 + 0 = 0.
-1/5, 0, 1
Let r(l) be the second derivative of -4/15*l**3 - 35*l + 1/15*l**4 + 0*l**2 - 1/210*l**7 + 3/50*l**5 + 0 - 1/150*l**6. Suppose r(m) = 0. Calculate m.
-2, 0, 1, 2
Suppose 218*k - 222*k - m + 15 = 0, k + 5 = m. Let u be (-34)/(-30) + 2/10. Factor 4/3*c - u - 1/3*c**k.
-(c - 2)**2/3
Let l(g) be the second derivative of g**4/36 + 640*g**3/9 + 204800*g**2/3 + 3*g - 427. Factor l(s).
(s + 640)**2/3
Let k(s) be the third derivative of -s**6/60 + 179*s**5/30 - 44*s**4/3 - 356*s**3/3 + 3526*s**2. Factor k(w).
-2*(w - 178)*(w - 2)*(w + 1)
Let a be 5276/(-542)*(-1 + (-22)/(-24)). Let k = 6/271 + a. Factor 1/6*b**3 - k*b**2 + 3/2 + 1/2*b.
(b - 3)**2*(b + 1)/6
Suppose 5*f = 29 - 4. Solve 6*h**2 + 6*h**2 - 14 - h - 2*h**4 - 15 + 25 - f*h**3 = 0.
-4, -1/2, 1
Let t(i) be the second derivative of i**5/110 + 13*i**4/11 - 328*i**3/33 - 2*i - 281. Determine f, given that t(f) = 0.
-82, 0, 4
Let q be (-322)/(-46) - (6 - 2). Solve 4*m**3 - 8*m**3 + 25*m**3 + 18*m**q + 256*m - 3*m**3 - 192*m**2 = 0.
0, 8/3
Let d(z) = 16*z + 14. Let c be d(7). Suppose 2*x - t - 62 = t, 4*x - 3*t - c = 0. Factor 36*q - x*q**2 - 17 - 10*q**5 + 5 + 3*q**3 + 7*q**5 + 9*q**4.
-3*(q - 2)*(q - 1)**3*(q + 2)
What is p in 9 + 353/8*p**3 - 15/4*p**4 - 69/2*p - 497/4*p**2 = 0?
-2/5, 1/6, 6
Let d(b) = b**3 - 3*b**2 + 5*b - 8. Suppose -3 = 32*u - 33*u. Let f be d(u). Solve 24*x - f*x - 9*x + 4*x - 3*x**4 - 9*x**3 = 0.
-2, 0, 1
Let w(u) be the third derivative of -u**6/40 + 127*u**5/20 + 97*u**4/2 + 130*u**3 - 8716*u**2. What is r in w(r) = 0?
-2, -1, 130
Let s(u) be the second derivative of -u**4/12 - 3*u**3/10 + u**2/5 + 1485*u. Factor s(o).
-(o + 2)*(5*o - 1)/5
Let q(w) = -w**2 + 7*w + 3. Let z = -71 - -77. Let j be q(z). Factor 33*s - 36*s**2 + 3*s**3 - j*s + 36*s + s**3 + 100.
4*(s - 5)**2*(s + 1)
Let l(n) be the second derivative of -n**4/6 + 55*n**3/3 - 294*n**2 - 2106*n. Factor l(j).
-2*(j - 49)*(j - 6)
Let y(t) be the first derivative of 0*t + 3/5*t**4 + 0*t**2 - 15 - 8/15*t**3. Determine n, given that y(n) = 0.
0, 2/3
Let t(j) be the third derivative of -j**6/24 + 4*j**5/3 + 205*j**4/8 + 165*j**3 - 5586*j**2. Factor t(h).
-5*(h - 22)*(h + 3)**2
Let h(y) be the third derivative of 1/540*y**6 - 2/27*y**3 + 1/1890*y**7 - 1/27*y**4 - 9*y - 1/180*y**5 + 0 - 2*y**2. Solve h(p) = 0.
-2, -1, 2
Let y = 1139 + -1120. Let n = 20 + 0. Factor -3 + n*c**4 - 42*c**4 + 6*c**2 + y*c**4.
-3*(c - 1)**2*(c + 1)**2
Let j(c) be the first derivative of 0*c - 13 + 2/21*c**3 + 1/21*c**4 - 27/2*c**2 - 1/35*c**5. Let i(p) be the second derivative of j(p). Factor i(t).
-4*(t - 1)*(3*t + 1)/7
Suppose -227 = -3*o - d - 80, -47 = -o - d. Let m be (168/20)/(45/o). Solve 8*t - 4/3*t**2 + m = 0 for t.
-1, 7
Find n, given that -446*n**2 - 174 - 276 - 238 - 46*n**2 - 935*n + 2*n**4 - 74*n**3 - 81*n = 0.
-2, 43
Let r(g) = -316*g - 8846. Let z be r(-28). Let c(x) be the second derivative of 1/80*x**5 + 0 - 7/48*x**4 + 1/4*x**3 - 33*x + 0*x**z. Factor c(w).
w*(w - 6)*(w - 1)/4
Let a(i) be the third derivative of -i**8/189 - 134*i**7/189 - 350*i**6/9 - 1078*i**5 - 13720*i**4 + 14406*i**3 + i**2 + 2989. Factor a(x).
-4*(x + 21)**4*(4*x - 1)/9
Let s be 3/1 - (-7 + 6). Suppose s*a - 12 = -l + 4*l, 4*l = 4*a - 8. Let 27*r**2 + 5*r - 16*r + a - 22*r = 0. What is r?
2/9, 1
Let v = -753583/5 - -150717. Let -1/5*g**4 + 0*g**3 + 3/5*g**2 + v*g + 0 = 0. Calculate g.
-1, 0, 2
Let w = 4851/5 + -969. Let k(s) be the first derivative of 1/5*s**3 + 9/5*s - w*s**2 + 15. Determine n so that k(n) = 0.
1, 3
Let q be (4/(-10))/(1/(-5)). Let o = -1845547 + 1845547. Factor 0 + 2/7*a**4 + 2/7*a**q - 4/7*a**3 + o*a.
2*a**2*(a - 1)**2/7
Let z = -1843 + 1857. Let h(u) be the first derivative of -4/3*u**3 + 0*u + 0*u**2 + u**4 - z. Factor h(a).
4*a**2*(a - 1)
Let h(p) = -5*p**5 - 20*p**4 + 160*p**3 - 160*p**2 - 20*p - 60. Let v(s) = -s**3 + s + 3. Let w(o) = -h(o) - 20*v(o). Factor w(j).
5*j**2*(j - 2)**2*(j + 8)
Let n = -15 + 17. Suppose -8*r + 48 = 8*r. Determine c so that -12*c**2 - 5*c + r*c**n - 2 + 6*c**2 = 0.
-1, -2/3
Suppose -2*b + 34 = 2*a, 2*b - 2*a + 6*a = 44. Factor 339*i**2 - 113*i**2 - 114*i**2 - 108*i**2 - 16*i + b.
4*(i - 3)*(i - 1)
Let q(g) be the second derivative of 1/3*g**2 - 5/63*g**7 + 5*g + 7/9*g**3 + 9 - 1/15*g**5 - 11/45*g**6 + 5/9*g**4. Let q(m) = 0. What is m?
-1, -1/5, 1
Let z(b) = b**2 - 47*b - 43. Let a be z(48). Determine y, given that y + 0*y**4 + 5*y**a + 8*y**2 + 2*y**2 - 4*y**4 - 3 - 6*y**5 - 3 = 0.
-3, -2, -1, 1
Let s(m) = m**3 - m**2 - m. Let r be s(2). Suppose -r*n = 5*u - 7 - 5, 4*n = 2*u. Factor 2 - 2 + 0*d**2 - 2*d**4 - u + 4*d**2.
-2*(d - 1)**2*(d + 1)**2
Let t(o) be the first derivative of 3/2*o**2 - o**3 + 0*o - 37. Find j, given that t(j) = 0.
0, 1
Suppose 0 = -7*z - 5*o + 94 - 5, 5*o = 75. Let a(t) = t**2 - 11*t. Let d be a(11). Factor 1/3*h**3 + 5/3*h**z + 0 + d*h.
h**2*(h + 5)/3
Let r = 195 + -189. Let -74*l**3 - 5*l**4 - 12*l**4 - 24*l - 68*l**2 + 12*l**3 - r*l**4 - 3*l**5 = 0. What is l?
-3, -2, -2/3, 0
Let o(s) be the first derivative of -95 + 1/2*s**4 + 2*s - 2/3*s**3 - s**2. Factor o(f).
2*(f - 1)**2*(f + 1)
Suppose -245*w - 44 = -247*w. Let a(t) = t**4 + 23*t**3 - 26*t**2 - 26*t. Let v(y) = -y**3 + y**2. Let x(u) = w*v(u) + 2*a(u). Factor x(p).
2*p*(p - 2)*(p + 1)*(p + 13)
Let t(d) = 3*d**2 - 32*d + 48. Let a be t(9). Suppose -43*y**a + y**3 - 2*y**4 - 9*y**4 + 12*y**4 = 0. Calculate y.
0, 42
Let g(o) be the first derivative of 9*o**5/20 + 5*o**4/2 + 2*o**3 - 27*o**2 - 2*o + 121. Let d(b) be the second derivative of g(b). Solve d(x) = 0 for x.
-2, -2/9
Let w(u) be the first derivative of -5*u**4/12 - 20*u**3/3 + 79*u - 81. Let r(l) be the first derivative of w(l). Find m such that r(m) = 0.
-8, 0
Let y(x) be the first derivative of 2*x**6/75 - 11*x**4/15 - 12*x**3/5 - 16*x**2/5 + 108*x + 122. Let s(d) be the first derivative of y(d). Factor s(j).
4*(j - 4)*(j + 1)**2*(j + 2)/5
Determine l so that -242/7*l**2 - 2/7*l**3 - 7670/7*l - 20886/7 = 0.
-59, -3
Let c = 512 - 81919/160. Let t(b) be the third derivative of 0*b + 0*b**3 + 12*b**2 - 5/32*b**4 + 0 - 1/20*b**5 + c*b**6. Find l, given that t(l) = 0.
-1, 0, 5
Let t(d) be the third derivative of -d**6/210 + 47*d**5/105 - 36*d**4/7 + 24*d**3 + 1945*d**2. Find z, given that t(z) = 0.
2, 3, 42
Let v(o) be the second derivative of o**4/4 + 6*o**3 - 399*o**2/2 + 18*o + 1. Factor v(x).
3*(x - 7)*(x + 19)
Find w such that -3468*w + 48*w**3 - 1261*w**2 + 309*w**2 - w**4 + 17*w**3 = 0.
-3, 0, 34
Let 50*u - 1148 - 129*u - 20*u**2 - 62*u + 23*u**3 + 1130 = 0. What is u?
-2, -3/23, 3
Suppose -13 + 65 = 26*l. Suppose 16*y - 5 + 5*y**3 - y**2 - 21*y - l*y**2 + 8*y**2 = 0. Calculate y.
-1, 1
Let f be (-7)/3 + (-64 - -67) + 4/3. Let s(d) be the third derivative of 24*d**f + 0 + 0*d + 1/30*d**5 + 12*d**3 + d**4. Find 