 Let f = 108 + -102. Solve -f - 4*v - o*v**2 = 0.
-3
Let r be 2/(-4)*(59 - 59). Suppose r - 2/11*m**2 - 2/11*m = 0. What is m?
-1, 0
Factor 2/7*a**3 + 0 + 26/7*a**2 - 4*a.
2*a*(a - 1)*(a + 14)/7
Let a(j) be the second derivative of -j**7/420 + j**6/60 - j**5/20 + j**4/12 - j**3/12 - 19*j**2 + 5*j. Let k(d) be the first derivative of a(d). Factor k(b).
-(b - 1)**4/2
Let f(p) = 10*p**3 - 104*p**2 + 38*p + 46. Let z(q) = 2*q**3 - 2*q**2 - 2*q + 1. Let a(i) = -2*f(i) + 20*z(i). Factor a(n).
4*(n - 1)*(n + 9)*(5*n + 2)
Let d(n) be the second derivative of -n**5/240 - n**4/96 + n**3/12 + 2*n**2 - n. Let b(r) be the first derivative of d(r). Factor b(s).
-(s - 1)*(s + 2)/4
Let t = -179 - -361/2. Let n = -204 + 413/2. Factor -t + n*f + 1/6*f**3 - 7/6*f**2.
(f - 3)**2*(f - 1)/6
Let h = 10337/70 - 6/35. Let k = -147 + h. Determine f, given that -k + 1/2*f**2 - 1/2*f**3 + 1/2*f = 0.
-1, 1
Let m be 54/80*(-10)/(-15). Let g(h) be the third derivative of -8*h**2 + h**3 + m*h**5 - 11/8*h**4 + 0 + 0*h. Solve g(u) = 0 for u.
2/9, 1
Factor -361*f**2 - 3*f**3 + 321*f**2 - 2*f**3.
-5*f**2*(f + 8)
Let w(i) be the second derivative of 0 - 1/4*i**2 - 3/8*i**4 + i - 1/2*i**3. What is j in w(j) = 0?
-1/3
Suppose 8/3*x**2 + 3*x**5 + 37/3*x**3 - 4/3*x + 0 + 34/3*x**4 = 0. What is x?
-2, -1, 0, 2/9
Let a = 339635/7 - 48357. Let b = a - 162. Solve -b*o - 1/7*o**2 + 0 + 1/7*o**3 = 0.
-1, 0, 2
Let n(x) = -9*x**2 + 8*x + 59. Let u(q) = 17*q**2 - 17*q - 117. Let a(c) = 11*n(c) + 6*u(c). Let l(y) = -y**2 + 1. Let t(h) = 3*a(h) + 12*l(h). Factor t(v).
-3*(v + 7)**2
Factor 1/5*k**2 + 9/5*k - 2.
(k - 1)*(k + 10)/5
Let m = 351/19 + 2661/38. Let a = -88 + m. Suppose -a*i**2 + 2 - 3/2*i = 0. What is i?
-4, 1
Let x be (-8)/(-10) + -1 + 672/160. Let -5*r**2 + 20*r + 9 - 3*r**2 + 15 + x*r**2 = 0. What is r?
-1, 6
Let h(k) be the third derivative of -k**5/210 + 5*k**4/42 - 8*k**3/7 - k**2 + 6. Solve h(d) = 0.
4, 6
Let y = -2685/4 + 663. Let f = y + 181/20. Factor -14/5*k**2 + f*k + 0.
-2*k*(7*k - 2)/5
Let c(r) be the third derivative of -r**7/231 + 17*r**6/660 - 8*r**5/165 + r**4/33 - 66*r**2. Find k, given that c(k) = 0.
0, 2/5, 1, 2
Let l(x) be the first derivative of x**5 + 5*x**4/2 - 5*x**2 - 5*x - 324. Factor l(m).
5*(m - 1)*(m + 1)**3
Let n(q) = q**2 - 16*q + 67. Let i be n(7). Let v(s) be the third derivative of 0 - 3*s**2 - 1/480*s**6 - 1/240*s**5 + 1/24*s**3 + 1/96*s**i + 0*s. Factor v(h).
-(h - 1)*(h + 1)**2/4
Let x be -9 - (273/(-35) + -2). Let -2/5*f**2 + 2/5*f**3 - x*f + 0 = 0. Calculate f.
-1, 0, 2
Let t(c) be the second derivative of -2*c**7/21 + 62*c**6/15 - 51*c**5 + 75*c**4 - 17*c - 2. Factor t(h).
-4*h**2*(h - 15)**2*(h - 1)
Let g(m) be the first derivative of -m**4/12 - 4*m**3/9 + m**2/6 + 4*m/3 - 53. What is q in g(q) = 0?
-4, -1, 1
Let w = 1247 - 8723/7. Factor 0 - 3/7*k - 3/7*k**3 - w*k**2.
-3*k*(k + 1)**2/7
Let 78/7*f**3 + 0*f + 0*f**2 - 3/7*f**4 + 0 = 0. Calculate f.
0, 26
Let p = 14 + -13. Let r be 133/28 - p/(-4). Determine i, given that -3 - 13*i + 8*i**3 + r*i + 4*i**4 - 1 = 0.
-1, 1
Let s(d) = -d**2 + d + 1. Let v = -53 - -47. Let q(r) = -3*r**2 + 15*r - 6. Let m(u) = v*s(u) + q(u). Factor m(t).
3*(t - 1)*(t + 4)
Factor 0 + 0*i - 98/3*i**2 + 2/9*i**5 - 34/9*i**4 + 182/9*i**3.
2*i**2*(i - 7)**2*(i - 3)/9
Let c(p) be the third derivative of -p**6/480 - 11*p**5/240 - 5*p**4/48 + 14*p**2. Find w, given that c(w) = 0.
-10, -1, 0
Let d = 58664/3 - 19552. Factor -4*v**4 + 0 - 2/3*v**5 - 8*v**2 - d*v - 26/3*v**3.
-2*v*(v + 1)**2*(v + 2)**2/3
Let i = -5617/5 - -1125. Let 2/5*v**2 + i - 2*v = 0. Calculate v.
1, 4
Let v(k) be the first derivative of 5*k**3/3 - 89*k**2 - 72*k - 360. What is h in v(h) = 0?
-2/5, 36
Suppose 894/7*b**2 + 6615898/7 - 133206/7*b - 2/7*b**3 = 0. Calculate b.
149
Let f(i) = 10*i**5 + 70*i**4 - 90*i**3 - 79*i**2 + 80*i. Let w(n) = 5*n**5 + 35*n**4 - 45*n**3 - 40*n**2 + 40*n. Let b(a) = 5*f(a) - 9*w(a). Factor b(p).
5*p*(p - 1)**2*(p + 1)*(p + 8)
Let g(k) be the third derivative of 0*k + 7/27*k**3 - 1/18*k**4 + 1/945*k**7 + 1/90*k**6 + 3*k**2 - 4/135*k**5 + 0. Determine h, given that g(h) = 0.
-7, -1, 1
Let h(j) = -j**2 + j - 3. Let w be h(0). Let d be (-2)/(w + 2 + -8). Find v, given that -d*v**2 - 2/3 - 8/9*v = 0.
-3, -1
Let a be (4/7)/((-10)/(-35)). Suppose -m + a + 3 = 0. Find l such that m*l**3 + l**3 - 10*l**3 + l**3 - l**2 - l**5 - 3*l**4 = 0.
-1, 0
Let j(o) be the second derivative of 13*o + 1/3*o**3 + o**2 - 1/6*o**4 + 0 - 1/10*o**5. Solve j(r) = 0 for r.
-1, 1
Solve 1/4*u**5 - 4*u**4 + 11*u**3 - 81/2 + 89/2*u**2 - 45/4*u = 0.
-2, -1, 1, 9
Let u(x) = -x**2 - 84*x - 152. Let g(j) = 84*j + 152. Let h(d) = -3*g(d) - 4*u(d). Solve h(o) = 0 for o.
-19, -2
Let s(q) be the first derivative of -1 + 1/12*q**4 + 0*q + 0*q**3 + 1/30*q**5 - 7/2*q**2. Let y(x) be the second derivative of s(x). Factor y(g).
2*g*(g + 1)
Let t(v) = v**2 - v. Let s(n) = 8*n**2 + 4*n. Suppose -2*m = -3*q, -5*q = -2*m + 4 - 8. Let j(c) = q*t(c) + s(c). Factor j(l).
2*l*(5*l + 1)
Let g(u) = 5*u**2 - 6*u + 1. Let q(i) = -2*i + 8. Let t be q(7). Let a(p) = -2 + 45*p - 6*p**2 - 27*p - 10*p**2 + 0. Let l(s) = t*a(s) - 20*g(s). Factor l(c).
-4*(c - 2)*(c - 1)
Let d(y) = 2*y**4 + 11*y**3 - 13*y**2 + 3*y. Let s(b) = 6*b**4 + 32*b**3 - 38*b**2 + 8*b. Let q(j) = 8*d(j) - 3*s(j). Factor q(f).
-2*f**2*(f - 1)*(f + 5)
Let f(k) be the third derivative of -k**5/270 - 5*k**4/54 + 16*k**2. Factor f(r).
-2*r*(r + 10)/9
Find x, given that -25*x + 1929*x**2 - 1953*x**2 - 11*x - 3*x**3 = 0.
-6, -2, 0
Suppose b = -0*b - 4*s + 2, -3*s - 2 = -b. Factor 6*r - 3*r**b - 4*r**3 - r - 9*r - 5*r**2.
-4*r*(r + 1)**2
Suppose 3*n + 0*z = 3*z + 45, 3*n = 5*z + 49. Suppose -6*f - 1 = -n. Factor 7/6*c - 1/6 - c**f.
-(c - 1)*(6*c - 1)/6
Let c(j) = 2*j**2 + 12*j**2 + 12*j + 6 - 8. Let x(n) = 41*n**2 + 36*n - 7. Let z(g) = 17*c(g) - 6*x(g). Factor z(w).
-4*(w + 2)*(2*w - 1)
Let u = 10634 + -95704/9. Factor 0 + 14/9*y - u*y**2.
-2*y*(y - 7)/9
Solve 7*k**4 + 120*k**3 - 22 - 225*k**2 + 14 + 145*k - 27*k**4 - 22 = 0.
1/2, 2, 3
Let p(u) = -4*u**3 - 126*u**2 - 179*u + 32. Let a be p(-30). Let 1 - 3/2*z - 5/2*z**a = 0. Calculate z.
-1, 2/5
Suppose -t + 15 - 11 = 0. Suppose 0 = -t*c + 16 - 8. Factor -27/5 - 63/5*d**c - 81/5*d - 2/5*d**4 - 19/5*d**3.
-(d + 3)**3*(2*d + 1)/5
Suppose -41*x = 33*x - 9*x - 5*x. Factor 2/7*l**5 + 0*l**2 + x*l + 2/7*l**3 - 4/7*l**4 + 0.
2*l**3*(l - 1)**2/7
Suppose 525 - 490 = 7*h. Let 12/5*p**4 + 0*p**2 + 0 + 0*p + 0*p**3 - 3/5*p**h = 0. Calculate p.
0, 4
Let c(d) be the third derivative of -d**8/784 - 2*d**7/245 - d**6/280 + 3*d**5/70 + 72*d**2 + 2. What is n in c(n) = 0?
-3, -2, 0, 1
Let x = -3961 - -1069471/270. Let l(p) be the third derivative of -x*p**5 + 0 + 2/27*p**4 + 0*p - 7*p**2 - 16/27*p**3. Find g, given that l(g) = 0.
4
Let g(m) be the third derivative of 18*m**2 + 0 - 1/165*m**5 - 1/132*m**4 + 2/33*m**3 + 1/660*m**6 + 0*m. Factor g(i).
2*(i - 2)*(i - 1)*(i + 1)/11
Find g such that 200/7*g**4 + 0 - 32/7*g**2 - 100/7*g**5 + 16/7*g - 12*g**3 = 0.
-2/5, 0, 2/5, 1
Let u(c) be the first derivative of c**4/6 + 4*c**3/9 - 20*c**2/3 + 16*c - 305. Let u(r) = 0. Calculate r.
-6, 2
Let h(q) be the first derivative of 5*q + 0*q**4 + 0*q**2 + 0*q**5 + 1/14*q**7 + 0*q**6 - 4 + 0*q**3. Let d(z) be the first derivative of h(z). Solve d(a) = 0.
0
Let x(m) be the first derivative of -10*m**5/51 - 5*m**4/17 - 3*m**3/17 - 27*m**2/2 + 42. Let q(l) be the second derivative of x(l). Factor q(o).
-2*(10*o + 3)**2/17
Factor 0*g + 20*g**3 + 0*g**2 + 0 + 8*g**4 + 4/5*g**5.
4*g**3*(g + 5)**2/5
Suppose 2/3*s**3 + 2/3*s**2 + 0 - 4/3*s = 0. Calculate s.
-2, 0, 1
Let f(a) be the first derivative of -a**4/78 - a**3/39 - 3*a + 8. Let z(v) be the first derivative of f(v). What is d in z(d) = 0?
-1, 0
Let v(b) = -101*b + 3739. Let f be v(37). Factor 1/3*o**f - 1/3*o**3 + 0 + 2/3*o.
-o*(o - 2)*(o + 1)/3
Let a(f) = f**3 + 18*f**2 + 21*f + 380. Let j be a(-18). Factor -8/5 - 2/5*v**2 - j*v.
-2*(v + 1)*(v + 4)/5
Let l be (-78)/(-42) + 56/49. Factor -8/15*t**l - 2/15*t + 0 + 2/3*t**2.
-2*t*(t - 1)*(4*t - 1)/15
Let o(s) = -4*s - 1. Let x(a) = -22*a**2 - 74*a + 9. Let w(t) = -3*o(t) + x(t). Factor w(g).
-2*(g + 3)*(11*g - 2)
Let q be (-2)/9 + (-1284)/(-189). Solve -4/7*h**2 - 22/7 + q*h = 0 for h.
1/2, 11
Suppose 0