1)*(r + 3)/7
Let c(a) be the second derivative of a**6/18 + 17*a**5/12 + 85*a**4/9 + 250*a**3/9 + 40*a**2 + 515*a. Let c(t) = 0. Calculate t.
-12, -2, -1
What is i in -65/2*i + 55*i**2 + 15/2 - 5/2*i**5 - 45*i**3 + 35/2*i**4 = 0?
1, 3
Suppose 23*w - 21*w - 10 = 0. Find c such that -501*c**2 + 491*c**2 - c**3 + w*c**4 - 4*c**3 = 0.
-1, 0, 2
Suppose 11 = -z - 4*t, 0 = -5*z - t - 0*t + 21. Let m be 13/z + (-57)/95. Factor 2/3*c**m - 1/6*c**3 - 2/3*c**4 + 0 + 1/6*c.
-c*(c - 1)*(c + 1)*(4*c + 1)/6
Suppose 18 + 33/2*c + 1/2*c**3 + 5*c**2 = 0. Calculate c.
-4, -3
Let s(v) be the second derivative of -v**7/504 - v**6/36 - v**5/6 - 25*v**4/12 - 13*v. Let l(q) be the third derivative of s(q). Factor l(h).
-5*(h + 2)**2
Suppose 4*d = 3*d. Let f = 6 + d. Determine q so that 0*q - 16*q + q**2 + q**2 + f*q**3 + 7 + 1 = 0.
-2, 2/3, 1
Let i(q) = -4*q**3 - q**2 + 21*q + 3. Let c(f) = 7*f**3 + f**2 - 43*f - 5. Let l(z) = 6*c(z) + 10*i(z). Let l(k) = 0. What is k?
-4, 0, 6
Suppose -2*d - 2*a = -4, -2*d + 6 = d - 5*a. Find b, given that 3*b**d - 6*b**2 + 0*b**2 - b**2 = 0.
0
Determine m so that -4485 + 8715 + 2180*m**2 + 5*m**5 + 24650 - 8742*m**2 - 4473*m**2 + 515*m**3 + 155*m**4 + 17480*m = 0.
-19, -1, 4
Let n = -9/17 + 260/459. Let l(y) be the first derivative of -8 + 0*y - 8/45*y**5 + 1/9*y**2 + 1/3*y**4 - 8/27*y**3 + n*y**6. Factor l(a).
2*a*(a - 1)**4/9
Let p = 2 + -2. Suppose -5*o = -p*o - 90. Factor 3*a + 21*a**3 - o*a**3 + 6*a**2 + 0*a.
3*a*(a + 1)**2
Find z, given that 4/3*z + 6*z**4 + 0 - 32/3*z**3 + 10/3*z**2 = 0.
-2/9, 0, 1
Let r(i) be the second derivative of -i**5/420 + i**4/42 - 2*i**3/21 + 6*i**2 - 16*i. Let g(f) be the first derivative of r(f). Find z such that g(z) = 0.
2
Let o(v) be the third derivative of -v**6/40 - 71*v**5/20 - 103*v**4/4 - 68*v**3 + 2*v**2 - 14*v. Solve o(f) = 0.
-68, -2, -1
Let h be 272/96 - ((-19)/6 + 3). Let b(f) be the third derivative of 1/210*f**5 + 4/21*f**h - 5/84*f**4 + 0 - 7*f**2 + 0*f. What is v in b(v) = 0?
1, 4
Let z(t) be the second derivative of 0*t**3 + 0 + 0*t**2 - 1/3*t**4 - 7*t - 3/10*t**5. Factor z(r).
-2*r**2*(3*r + 2)
Let w = 46685/7 - 6669. Find z, given that -w*z**2 - 2/7 + 4/7*z = 0.
1
Suppose -37*n = 34*n - n - 420. Find i, given that 3/5*i**4 + 36*i + 39/5*i**2 + 108/5 - n*i**3 = 0.
-1, 6
Factor -4*q**3 - 32/3*q**2 + 16*q + 1/3*q**4 + 112/3.
(q - 14)*(q - 2)*(q + 2)**2/3
Solve -58/5*x**2 - 54/5 - 22*x - 2/5*x**3 = 0.
-27, -1
Suppose 3*z + 15 = 0, -4*z - 356 = -4*p - 0*z. Find d such that p*d**2 + 30*d - 147 - 87*d**2 + 12*d = 0.
7
Find y such that 8/13*y**3 - 2/13*y**4 + 8/13*y**2 + 0 + 0*y - 2/13*y**5 = 0.
-2, -1, 0, 2
Let l(y) = -3*y**3 + 14*y**2 + 71*y + 2. Let w(o) = 2*o - 2. Let d(c) = 4*l(c) - 52*w(c). Factor d(t).
-4*(t - 7)*(t + 1)*(3*t + 4)
Let s be (-777)/(-185) - 1*(1 - 0). Let h be -1 + -2 + (-58)/(-10). Solve s*u - 2*u**3 - h*u**2 + 8/5 = 0.
-2, -2/5, 1
Let x(r) be the second derivative of -2*r**6/3 - 21*r**5/4 - 55*r**4/4 - 95*r**3/6 - 15*r**2/2 + 18*r. Find a, given that x(a) = 0.
-3, -1, -1/4
Find y such that 12*y + 9*y**3 - 3/2*y**4 + 0 - 18*y**2 = 0.
0, 2
Let q be (5/20)/(-1 + 35/20). Let a(x) be the first derivative of 2*x**2 - 3/2*x**4 - 2/5*x**5 + 0*x + 5 + q*x**6 + 2/3*x**3. Factor a(o).
2*o*(o - 2)*(o - 1)*(o + 1)**2
Let j(d) be the first derivative of 42 - 1/8*d**4 + 0*d**2 - 1/50*d**5 + 0*d - 1/5*d**3. Determine m so that j(m) = 0.
-3, -2, 0
Find c, given that 1/9*c**5 + 11/3*c**3 - 484/9*c**2 + 0*c + 0 + 2*c**4 = 0.
-11, 0, 4
Let p(l) be the second derivative of 3*l**5/25 - 4*l**4/15 - 2*l**3/5 + 8*l**2/5 + 8*l + 1. Suppose p(n) = 0. Calculate n.
-1, 1, 4/3
Factor -75*n**3 + 15*n - 24*n**2 + 40*n**3 + 38*n**3 + 21*n.
3*n*(n - 6)*(n - 2)
Suppose -5*r = -4*b + 58 - 9, -3 = 3*r. Suppose t + 5*u - b = -1, 0 = -5*t + 5*u - 10. Determine a so that -3 + 6*a - 10*a**2 + 7*a**2 + t*a = 0.
1
Let w(u) be the first derivative of -4*u**5/35 - 11*u**4/14 + 4*u**3/7 - 8. Factor w(v).
-2*v**2*(v + 6)*(2*v - 1)/7
Let i(z) = 5*z**2 + z - 6. Let x(v) = -v + 15. Let n be x(13). Let b(j) = 0*j**2 + 2 - j**n - 3 + 2. Let w(d) = -6*b(d) - i(d). Find g such that w(g) = 0.
0, 1
Suppose 3*t + 2 = 4*t. What is x in -3*x**3 - 4*x**3 + 4*x**2 - t*x**2 + 4*x + 5*x**3 = 0?
-1, 0, 2
Let x be ((-8)/(-6))/(0 - 4/(-9)). Let k be (-6)/(-12)*2/x. Suppose -1/6*r**5 + 1/3*r**3 + 7/6*r - 4/3*r**2 + k*r**4 - 1/3 = 0. Calculate r.
-2, 1
Let m = -34228/105 + 326. Let c(r) be the third derivative of -m*r**7 - 11*r**2 + 2/3*r**3 + 0*r - 1/3*r**4 + 0 + 1/15*r**6 + 0*r**5. Let c(u) = 0. Calculate u.
-1, 1
Let j(n) = -3*n + 45. Let l be j(0). Let i = l + -45. Factor 0 + 7/2*f**3 + i*f + f**2 + 5/2*f**4.
f**2*(f + 1)*(5*f + 2)/2
Let s(v) be the second derivative of -5*v**7/252 - 5*v**6/36 - 7*v**5/24 - 5*v**4/24 + 4*v - 3. Find u, given that s(u) = 0.
-3, -1, 0
Let r(g) = g**3 - g**2 + g - 8. Let w be r(0). Let q be w/2*2/(-4). What is a in -q*a**3 - 9*a**2 + 1 - 9*a - a**3 - 4 = 0?
-1
Let s = 1483/6 - 247. Solve 0*v**3 + 1/3*v**4 - s*v - 1/3*v**2 + 1/6*v**5 + 0 = 0.
-1, 0, 1
Let m(s) be the second derivative of 5/6*s**3 + 1/60*s**6 - 3/20*s**5 + 1/8*s**4 - 31*s + 2 + 0*s**2. Factor m(u).
u*(u - 5)*(u - 2)*(u + 1)/2
Let o(c) be the second derivative of c**5/30 + 2*c**4/9 - c**3/3 - 6*c**2 + 5*c - 79. Find w, given that o(w) = 0.
-3, 2
Suppose 2*p = 5*p - 4*b + 50, 0 = 3*p + 5*b + 32. Let g(f) = f**2 + 5*f - 4. Let c(h) = 2*h**2 + 16*h - 12. Let y(j) = p*g(j) + 5*c(j). Solve y(d) = 0.
1/2, 2
Factor 3/5*l**2 - 936/5*l + 73008/5.
3*(l - 156)**2/5
Solve 3/7 - 3/7*g**2 + 0*g = 0 for g.
-1, 1
Factor -43701 + 2*s**3 - 24*s**2 - 27*s - 5*s**3 + 43755 + 0*s**3.
-3*(s - 1)*(s + 3)*(s + 6)
Let u(a) = -75*a**4 - 172*a**3 - 52*a**2 + 24*a - 8. Let z(f) = -50*f**4 - 115*f**3 - 35*f**2 + 15*f - 5. Let o(d) = 5*u(d) - 8*z(d). Factor o(r).
5*r**2*(r + 2)*(5*r + 2)
Suppose 22*b - 25*b - 5*j = -21, j + 1 = 2*b. Factor -135/2*a**3 - 25/4*a - 1215/4*a**4 - 729/4*a**5 + 95/2*a**b + 1/4.
-(a + 1)**2*(9*a - 1)**3/4
Let c(l) be the first derivative of -1/8*l**6 - 12 + 9/8*l**2 - 1/2*l**3 - 3/8*l**4 + 9/20*l**5 - 3/4*l. What is s in c(s) = 0?
-1, 1
Let i = 4146 - 8289/2. Find m, given that 0 + 3/2*m**2 + 0*m - i*m**3 = 0.
0, 1
Let m(l) be the third derivative of l**8/36960 - l**7/6930 + 5*l**4/12 - 6*l**2. Let t(n) be the second derivative of m(n). Suppose t(o) = 0. What is o?
0, 2
Let i(v) = v**2 + 733*v + 3644. Let p be i(-5). Factor -2/3*q**p - 8/3 + 8/3*q + 2*q**2 - 4/3*q**3.
-2*(q - 1)**2*(q + 2)**2/3
Suppose -4*d = 5*y - 11, 3*y - 3 = -d - 2. Suppose 8*s - 44 = d. Let -9 + 18 - s*t - 3*t**2 - 9 = 0. Calculate t.
-2, 0
Let k(o) be the third derivative of -1/120*o**5 - 4/3*o**3 + 0 + 4*o**2 - 1/6*o**4 + 0*o. Suppose k(b) = 0. Calculate b.
-4
Factor 16/3*t**2 - 196/15 - 2/5*t**3 - 238/15*t.
-2*(t - 7)**2*(3*t + 2)/15
Let k(l) = l + 7. Let m be k(4). Suppose -m*g + 10 + 34 = 0. Determine f so that 2/3*f**g + 0 - 4/3*f**3 + 2/3*f**2 + 0*f = 0.
0, 1
Determine o, given that 3/4*o + 0 + 9/4*o**3 + 3/4*o**4 + 9/4*o**2 = 0.
-1, 0
Let f be (-3)/6*(-22 + 14). Let p(o) be the third derivative of -4/9*o**3 + 0*o**4 + 1/90*o**5 + 0*o + 0 + f*o**2. Factor p(j).
2*(j - 2)*(j + 2)/3
Let n(r) = r**2 + 10*r - 6. Let c be n(-11). Let l(t) = 4*t**3 - 2*t**2 + 9*t + 8. Let o(s) = s**3 + s. Let x(y) = c*o(y) - l(y). Determine i so that x(i) = 0.
-2, 2
Let d(m) = -m**2 + 15*m - 41. Let g be d(4). Let i be 0 + (-5)/((-15)/6). Suppose 0*s**i - 2/5*s**4 + 2/5 + 4/5*s**g - 4/5*s = 0. What is s?
-1, 1
Let q(i) = -i**4 + 27*i**3 - 108*i**2 + 72*i - 2. Let f(y) = -3*y**4 + 27*y**3 - 111*y**2 + 72*y - 3. Let p(z) = 2*f(z) - 3*q(z). Factor p(a).
-3*a*(a - 2)*(a - 1)*(a + 12)
Let j(x) be the first derivative of -6*x**5/25 - 9*x**4/10 + 2*x**3/5 + 9*x**2/5 + 39. Let j(i) = 0. Calculate i.
-3, -1, 0, 1
Let 8/3*v + 8/3 - 2/3*v**2 - 2/3*v**3 = 0. What is v?
-2, -1, 2
Let m(i) be the second derivative of 0*i**6 + 0 + i + i**3 + 1/21*i**7 - 2/5*i**5 - 2*i**2 + 1/3*i**4. Factor m(v).
2*(v - 1)**3*(v + 1)*(v + 2)
Let f(n) be the second derivative of 7*n + 0 + 0*n**3 + 0*n**2 - 1/50*n**6 - 6/25*n**5 - 4/5*n**4. Let f(p) = 0. What is p?
-4, 0
Let z(j) be the first derivative of -j**5/10 + j**4/2 + j**3/3 - 3*j**2 - 4*j - 3. Let m(r) be the first derivative of z(r). Factor m(a).
