 + (-108)/18 - -5. Factor 1/5*a**4 + 147/5*a**2 + 21/5*a**s + 0 + 343/5*a.
a*(a + 7)**3/5
Let p(l) = -40*l**3 + 86*l**2 + 160*l - 17. Let j(o) = -7*o**3 + 14*o**2 + 27*o - 3. Let f(w) = 34*j(w) - 6*p(w). Suppose f(x) = 0. Calculate x.
-1, 0, 21
Let m = 16778/5 - 3355. Factor 54/5*n - 21/5*n**3 - 9/5*n**4 + m*n**5 + 21/5*n**2 + 24/5.
3*(n - 4)*(n - 2)*(n + 1)**3/5
Suppose 0 = -3*w - 4*o + 467 + 217, -4*o - 212 = -w. Let m = w + -224. Factor 0*j - 1/2*j**2 + m.
-j**2/2
Solve -26*c**2 - 85*c - 5*c**3 - 46*c**2 + 32*c**2 - 50 = 0 for c.
-5, -2, -1
Suppose 0 = -3*q + 5*w + 18, -6*q + 2*w = -4*q - 12. Let n = q - 2. Factor 18*f**2 - 2*f**5 + f**5 + 3*f**4 + n + f**3 - 25*f**2.
-(f - 2)**2*(f - 1)*(f + 1)**2
Let n(a) = -3*a**3 + 2*a - 1. Let y(z) = 5*z**4 + 50*z**3 + 80*z**2 + 50*z + 5. Let f(h) = -5*n(h) - y(h). Suppose f(q) = 0. Calculate q.
-3, -2, 0
Let f be 11/33 - 2/(-4). Factor 0*a**2 + 0*a - 1/3*a**3 + 0 - 1/3*a**5 - f*a**4.
-a**3*(a + 2)*(2*a + 1)/6
Let h(r) = 163*r**2 - 30 - 58*r**2 - 50*r**2 - 54*r**2 - r. Let d be h(6). Determine i so that 0 + d*i - 2/11*i**2 - 2/11*i**5 + 2/11*i**3 + 2/11*i**4 = 0.
-1, 0, 1
Let a be 2/13 + 10/(-65). Let c(p) be the second derivative of 0*p**2 + 1/2*p**4 + 4*p + 1/2*p**3 + 3/20*p**5 + a. Factor c(z).
3*z*(z + 1)**2
Let n(h) = h**3 + 5*h**2 - 6*h + 2. Let j(q) = q**2 - 7*q + 6. Let u be j(4). Let i be n(u). Solve 0 - 3/4*r**i + 3/2*r = 0 for r.
0, 2
Let d(o) = 4*o**3 + 2*o + 4. Let t(s) = -s**3 - s - 1. Let x(z) = -d(z) - 3*t(z). Let y(r) = 4*r**4 + 3*r**3 - 3*r - 9. Let g(c) = 5*x(c) - y(c). Factor g(u).
-4*(u - 1)*(u + 1)**3
Let s = 57/8 + -71/10. Let i(j) be the third derivative of -s*j**6 + 0*j + 1/3*j**3 - 1/60*j**5 - j**2 - 1/210*j**7 + 1/8*j**4 + 0. Factor i(u).
-(u - 1)*(u + 1)**2*(u + 2)
Solve -20*n + n**4 - 3*n**3 - 3*n**5 - 2*n**5 + 18*n**3 + 9*n**4 - 20*n**2 = 0.
-1, 0, 2
Suppose 5*p = -3*l + 10, 4 = -2*l - 5*p + 7*p. Factor -4/5*f - 2/5*f**2 + l.
-2*f*(f + 2)/5
Let t be 4/(10 - 7 - (0 + 1)). Let k be t/(-4) + (5 - (-2 + 6)). Factor 1/2*l**2 - 1 + 3/2*l**3 + k*l**4 - 3/2*l.
(l - 1)*(l + 1)**2*(l + 2)/2
Let j = 416309/495044 - 1/22502. Let n = 12/11 - j. Factor 0 + n*i**3 + 0*i + i**2.
i**2*(i + 4)/4
Let t(m) = 136*m + 360. Let n(z) = -z**2 - 272*z - 723. Let s(b) = 4*n(b) + 7*t(b). Factor s(r).
-4*(r + 3)*(r + 31)
Let m(o) = -27*o**4 + 34*o**2 - 24*o**4 + 7 + 7 - 36*o**3 + 71*o**4. Let t(j) = -7*j**4 + 12*j**3 - 11*j**2 - 5. Let k(b) = 5*m(b) + 14*t(b). Factor k(z).
2*z**2*(z - 4)*(z - 2)
Let n be ((-1)/2)/(((-5)/(-274))/(-5)). Let c = 137 - n. Let -1/2*q**3 - q**2 + 0 + c*q = 0. Calculate q.
-2, 0
Suppose 0 = -2*i - 4*s + 20, 15 = 4*i - 0*i + 3*s. Suppose 14 = -i*n + n + 3*c, -2*n + 5*c - 16 = 0. Let 0 - 2/11*h**3 - 2/11*h**n + 0*h = 0. What is h?
-1, 0
Let l be (-37)/(-30) + (-200)/(-750). Let 39/2*s + 21/2*s**3 - 6 - l*s**4 - 45/2*s**2 = 0. What is s?
1, 4
Let m = 22165/6 + -3694. Find j, given that -m*j**4 - 1/2*j - 5/6*j**3 - 7/6*j**2 + 0 = 0.
-3, -1, 0
Suppose 75 = 7*v + 61. Let n(h) be the second derivative of 0*h**v - 1/6*h**3 + 8*h + 1/12*h**4 + 0. Factor n(m).
m*(m - 1)
Let o(n) be the first derivative of 0*n + 0*n**4 + 3 + 0*n**2 + 1/360*n**6 - 1/60*n**5 - n**3. Let r(u) be the third derivative of o(u). Solve r(q) = 0.
0, 2
Let b be (-5 - (-12)/(-30))/(32/(-40)). Let v(u) be the first derivative of b*u**3 + 39/8*u**4 + 21/20*u**5 + 1 + 3/2*u**2 - 3*u. Let v(h) = 0. Calculate h.
-2, -1, 2/7
Let c(g) be the second derivative of g**6/120 + 3*g**5/20 + 5*g**4/24 - g**3/2 - 11*g**2/8 + 38*g - 2. Factor c(p).
(p - 1)*(p + 1)**2*(p + 11)/4
Let t be 0*(1 - -3)/(-8). Suppose 2*o + 4*k = 8, t = 4*o + k - 0*k - 16. Factor 0*f**3 - 5*f + o*f + 4*f**3 - 3*f**3.
f*(f - 1)*(f + 1)
Let k(a) be the second derivative of a**7/189 + a**6/27 + a**5/18 - 5*a**4/54 - 2*a**3/9 - 61*a. Let k(d) = 0. Calculate d.
-3, -2, -1, 0, 1
What is q in -69/2*q**2 - 183/2*q + 27/2*q**4 + 21 + 183/2*q**3 = 0?
-7, -1, 2/9, 1
Let f(n) = -n**2 + n - 1. Let x(i) = -9*i**2 + 3*i - 4. Let j(g) = -4*f(g) + x(g). Let s(v) = -5*v**2 - 2*v. Let u(t) = -7*j(t) + 6*s(t). Factor u(y).
5*y*(y - 1)
Factor 24334/3 + 46*i**2 - 1058*i - 2/3*i**3.
-2*(i - 23)**3/3
Let o(y) be the first derivative of -y**3/24 - 33*y**2/16 - 31*y/4 + 214. Determine z so that o(z) = 0.
-31, -2
Let c = 616/969 + 10/323. Factor 4/3*d**2 + c + 1/3*d**3 + 5/3*d.
(d + 1)**2*(d + 2)/3
Let f(h) be the first derivative of h**7/210 + h**6/20 + h**5/5 + 5*h**4/12 + h**3/2 - 45*h**2/2 - 44. Let l(z) be the second derivative of f(z). Factor l(g).
(g + 1)**3*(g + 3)
Suppose 3156*j = 3130*j + 78. Suppose q**2 - 1/2*q**5 - q**4 + 0*q**j + 0 + 1/2*q = 0. What is q?
-1, 0, 1
Let p(k) = 11*k**2 + 28*k + 29. Let h(a) = -21*a**2 - 58*a - 59. Let o(v) = 6*h(v) + 11*p(v). Factor o(t).
-5*(t + 1)*(t + 7)
Let f(c) be the first derivative of c**3/12 - 15*c**2/8 - 27*c/2 + 110. Solve f(t) = 0.
-3, 18
Let r(p) be the second derivative of -1/300*p**5 + 0 - 4*p + 11/2*p**2 + 1/60*p**4 - 1/30*p**3. Let y(d) be the first derivative of r(d). Factor y(a).
-(a - 1)**2/5
Let a = -9 + 17. Suppose y + a = 5*y. Solve h**3 + 5*h**2 + 6*h**2 + 3*h**3 + h**y = 0.
-3, 0
Factor -29 - 28*w**3 - 38*w**3 + 41 + 99*w**2 + 15*w**4 - 60*w.
3*(w - 2)*(w - 1)**2*(5*w - 2)
Let g(v) = v**3 + 12*v**2 + 30*v + 27. Let u be g(-9). Suppose a + z + 3*z - 15 = 0, 3*a - 15 = -2*z. Find j such that u + 0*j + 8/3*j**2 + 4/3*j**a = 0.
-2, 0
Let q be 6 + 15 + -5 + -6. Suppose -2*y = -s - 11, 2*y = 3*y - 2*s - q. Factor 0*h - 1/2*h**4 - y*h**3 + 27/2 - 9*h**2.
-(h - 1)*(h + 3)**3/2
Let r(z) be the third derivative of -z**8/168 - 2*z**7/35 - 13*z**6/60 - 2*z**5/5 - z**4/3 + 13*z**2 + 16*z. Find g, given that r(g) = 0.
-2, -1, 0
Suppose 7*t - 38 = 3*t - 5*b, 32 = t + 5*b. Factor 26/3*m**3 - 2/3*m + 4/3 - 6*m**t - 10/3*m**4.
-2*(m - 1)**3*(5*m + 2)/3
Let n(u) be the first derivative of u**6/420 - u**4/21 + 19*u**2/2 + 17. Let y(a) be the second derivative of n(a). Let y(m) = 0. What is m?
-2, 0, 2
Suppose -55 = -5*k - 3*d, 0 = 2*k - d + 3 - 36. Let o = k - 12. Factor -a**2 + 2*a**o + a**2.
2*a**2
Let u(s) be the second derivative of 0*s**3 + 0*s**2 + 1/273*s**7 - 45*s - 3/130*s**5 + 0 + 0*s**6 + 1/39*s**4. Factor u(z).
2*z**2*(z - 1)**2*(z + 2)/13
Let c be -3 - 2 - (1 - 2). Let z = c - -6. Factor -w - w**3 - w**2 + z*w**2 + 0*w**2 + 3*w.
-w*(w - 2)*(w + 1)
Let -1/2*x**2 + 24*x - 288 = 0. Calculate x.
24
Suppose -3*k - 19 = -19. Let l be (-6 + 2 + 4/2)/(-7). Solve -2/7*q**3 + k - 4/7*q**2 - l*q = 0 for q.
-1, 0
Let q(r) be the first derivative of 1/6*r**6 + 1/2*r**2 + 0*r**3 + 0*r**5 + 0*r - 1/2*r**4 - 11. Solve q(g) = 0.
-1, 0, 1
Solve -4/9*u**3 + 320/9 + 52/9*u**2 - 224/9*u = 0.
4, 5
Let b be (-4)/10*195/78*-2. Find h such that 3*h**b + 15/7*h**4 - 6/7*h - 3/7*h**5 + 0 - 27/7*h**3 = 0.
0, 1, 2
Let z = -7412 + 7417. Find t such that -3/2*t**4 + 0 + 3/2*t**2 + 3*t - 9/2*t**3 + 3/2*t**z = 0.
-1, 0, 1, 2
Let m(i) be the third derivative of 6*i**2 - 1/48*i**4 + 0*i + 0*i**3 - 1/240*i**6 + 1/60*i**5 + 0. Let m(p) = 0. What is p?
0, 1
Let x be (-22143)/(-4830) + (1 - 6). Let n = 3/230 - x. Factor -3*d**2 - 45/7*d - 27/7 - n*d**3.
-3*(d + 1)*(d + 3)**2/7
Solve 196*z**3 - 298*z**3 + 146*z**3 - 24*z - 124*z**2 = 0 for z.
-2/11, 0, 3
Let y(m) be the second derivative of 0*m**2 + 0*m**3 + 0 + 24*m + 1/24*m**6 + 0*m**4 - 1/16*m**5. What is b in y(b) = 0?
0, 1
Suppose o - 2*j + 13 = 0, 4*o + 25 = -202*j + 207*j. Determine i, given that 120*i**4 - 93*i**3 + 6*i - 48*i**o + 33/2*i**2 - 3/2 = 0.
-1/4, 1/4, 1/2, 1
Let x(g) = -2*g. Let z be x(-4). Suppose -z*t + 30 = 2*t. Solve -t*q**2 - 1/2 + 2*q + 2*q**3 - 1/2*q**4 = 0.
1
Let a(g) be the third derivative of -g**6/200 + 9*g**5/50 - 3*g**4/2 + 28*g**3/5 + 2*g**2 - 91*g. Solve a(z) = 0 for z.
2, 14
Suppose 2*i = -5*k - 3*i + 610, 3*k - 3*i - 390 = 0. Let b = k - 362/3. Factor 4*y**2 + 4/3 + b*y.
4*(y + 1)*(3*y + 1)/3
What is y in 16/9*y**2 + 20/9*y - 2 - 20/9*y**3 + 2/9*y**4 = 0?
-1, 1, 9
Let a(l) be the second derivative of 1/54*l**4 + 0 + 10/27*l**3 + 25/9*l**2 + 23*l. Factor a(n).
2*(n + 5)**2/9
Find h such that 125*h + 3*h**2 - 5*h**2 + 89*h + 142 + 42 + 32 = 0.
-1, 108
Suppose -a + 2 = -g, 3*a + g + 4 = 10. Let y(s) be the third derivative of -1/3*s**3 + 1/6*s**4 - 1/30*s**5 + 4*s**a 