4*x**2 + 8*x = 0.
-16
Let l(c) be the first derivative of -32*c**5/3 - 70*c**4/3 + 1115*c**3/18 - 125*c**2/6 + 5*c/2 + 122. Let l(v) = 0. What is v?
-3, 1/8, 1
Suppose -4 = -b + 3*v, 4*v - 5*v = -b + 4. Let g(n) be the third derivative of 0 - n**3 + b*n**2 - 1/10*n**5 + 0*n + 5/8*n**4. Factor g(c).
-3*(c - 2)*(2*c - 1)
Let x(d) be the second derivative of d**7/14 - 3*d**6/5 - 18*d**5/5 - 13*d**4/2 - 9*d**3/2 + d + 76. Suppose x(f) = 0. Calculate f.
-1, 0, 9
Factor -1/5*t**3 - 125 - 115*t + 49/5*t**2.
-(t - 25)**2*(t + 1)/5
Let f(d) = 2*d**2 - 19*d + 39. Let n(x) = -10*x**2 + 96*x - 194. Let h(q) = -28*f(q) - 6*n(q). Find k such that h(k) = 0.
2, 9
Find a such that 5*a**2 + 25822*a**3 + 25*a**2 + 25*a - 25817*a**3 = 0.
-5, -1, 0
Suppose 3*f + 4*t - 20 = 2*f, -4*t = -2*f - 20. Determine l so that 3*l**2 - 3*l**4 + 3/2*l**5 + f*l**3 + 0 - 3/2*l = 0.
-1, 0, 1
Find k such that 147/2*k**2 + 0 + 57/2*k**4 + 24*k + 3/2*k**5 + 153/2*k**3 = 0.
-16, -1, 0
Let n(j) = -j**2 + 7*j + 7. Let t be n(8). Let y be 49/7 + -2 + t. Factor -7*k**y + k - 2*k - k**2 + 8*k**4 + k**3.
k*(k - 1)*(k + 1)**2
Suppose 2*q = q - 2. Let p(t) = 9 - 17*t**3 + 42*t**3 - 8*t - t**2 + 2*t**2. Let n(f) = -f**2 - f + 1. Let k(s) = q*p(s) + 18*n(s). Find o, given that k(o) = 0.
-1/5, 0
Let y(h) = 6*h**3 - h**2 + 3*h - 6. Let x be y(3). Factor -x*w**3 - 28*w**2 + 2*w**2 - 20*w + 2*w**2 + 152*w**3.
-4*w*(w + 1)*(w + 5)
Let o be 1/2*((-6864)/(-36))/11. Determine i so that 2/3*i**4 + o*i**2 - 8*i + 8/3 - 4*i**3 = 0.
1, 2
Let d(r) be the second derivative of -r**8/2940 + r**7/1470 - 13*r**3/6 + r. Let k(p) be the second derivative of d(p). Factor k(j).
-4*j**3*(j - 1)/7
Let s(f) be the second derivative of f**6/60 - 3*f**5/20 - f**4 - 13*f**3/6 - 9*f**2/4 + 47*f. Let s(u) = 0. Calculate u.
-1, 9
Suppose 3*d = 32 - 23. Factor 2 - 2 + 605*y**4 - 32*y - 200*y**2 + 52*y + 385*y**d.
5*y*(y + 1)*(11*y - 2)**2
Let r(n) = n - 2. Let g be r(5). Let d = -34958 + 34958. Find z, given that 1/2*z**g + 0 + z**2 + d*z = 0.
-2, 0
Let t(a) be the third derivative of a**5/40 - 5*a**4/8 + 4*a**3 - 32*a**2. Factor t(w).
3*(w - 8)*(w - 2)/2
Let o(z) be the first derivative of -5*z + 11 - 15/8*z**4 - 35/4*z**2 - 20/3*z**3. Let o(y) = 0. What is y?
-1, -2/3
Let k(l) = -2*l**2 + 28*l - 18. Let b be k(13). Factor 6 + b*d**3 + 17*d - 25*d + d**4 - 4*d**2 - 3*d**4.
-2*(d - 3)*(d - 1)**2*(d + 1)
Factor 15/4*k**2 + 3/4*k**3 - 27/4 + 9/4*k.
3*(k - 1)*(k + 3)**2/4
Let h(u) = u**3 - u**2. Let k = 18 + -13. Suppose -4*q = 0, 5*d + 4 = q - 6. Let o(b) = 2*b**3 - 2*b**2. Let g(m) = d*o(m) + k*h(m). Factor g(n).
n**2*(n - 1)
Let r(s) be the third derivative of -s**8/4032 - s**7/56 - 9*s**6/16 + 13*s**5/60 + 4*s**2. Let a(v) be the third derivative of r(v). Solve a(i) = 0.
-9
Let w(j) be the first derivative of -3*j**3 + 1/2*j**2 - 10 - 1/4*j**4 + 9*j. Let w(c) = 0. Calculate c.
-9, -1, 1
Let c(w) be the second derivative of 0 + 0*w**2 - 5*w + 1/6*w**6 + 0*w**3 + 5/42*w**7 - 1/4*w**5 - 5/12*w**4. Factor c(r).
5*r**2*(r - 1)*(r + 1)**2
Let q(v) be the second derivative of v**7/63 - v**6/9 - 61*v - 1. Factor q(r).
2*r**4*(r - 5)/3
Let y be ((-56)/42)/((-4)/6 - 0). Let j(o) be the third derivative of 0 + 1/200*o**6 + 0*o**3 + 0*o + 0*o**4 + 0*o**5 + 3*o**y. Factor j(d).
3*d**3/5
Let q = 5773/11554 + 2/5777. Factor -2 + 2*g - q*g**2.
-(g - 2)**2/2
Let i be (-105)/(-10) + 1/(-2). Determine h, given that -2*h**4 - 221*h**3 - i*h + 113*h**3 + 18*h**2 + 102*h**3 = 0.
-5, 0, 1
Let h be -11*3/24 + 6/4. Let u(m) be the first derivative of 1/16*m**4 - 4 + 0*m + h*m**2 - 1/6*m**3. Factor u(k).
k*(k - 1)**2/4
Let c(f) be the first derivative of -f**5/10 - 17*f**4/4 - 76*f**3/3 - 103*f**2/2 - 87*f/2 - 492. Factor c(a).
-(a + 1)**2*(a + 3)*(a + 29)/2
Factor -2/15*g**3 + 0 + 4/3*g - 6/5*g**2.
-2*g*(g - 1)*(g + 10)/15
Let m(f) be the second derivative of 0 + 0*f**2 + 20/9*f**3 - 19*f + 1/9*f**4. Factor m(i).
4*i*(i + 10)/3
Suppose 3 + 7 = o + 2*m, -5*m = o - 22. Suppose 0 + d - d**3 + 1/2*d**4 - 1/2*d**o = 0. What is d?
-1, 0, 1, 2
Let c(o) be the third derivative of -5*o**5/12 - 5*o**4/4 + 28*o**2 + 7*o. Determine s, given that c(s) = 0.
-6/5, 0
Let o be ((-9)/2)/((-222)/148). Let a(h) be the first derivative of 5 - 40/3*h**o - 18*h**2 + 48/5*h**5 + 10/3*h**6 + 4*h**4 - 8*h. What is m in a(m) = 0?
-1, -2/5, 1
Let p(q) = 19*q**3 + 23*q**2 - 4*q - 4. Suppose -2 - 4 = -2*n. Let d(m) = -m**3 - m**2 + m. Let t(j) = n*p(j) + 12*d(j). Factor t(h).
3*(h + 1)*(3*h + 2)*(5*h - 2)
Let n(f) be the second derivative of -f**7/504 - f**6/8 - 27*f**5/8 - f**4 + f**3/6 + 3*f - 8. Let c(x) be the third derivative of n(x). Factor c(p).
-5*(p + 9)**2
Let y be (-4)/((-4)/(2 - -2)). Suppose -5*z - 3 = -y*z, 2*v - 2*z = 6. Factor v + 2/7*a**2 + 2/7*a.
2*a*(a + 1)/7
Let p(d) be the third derivative of d**8/252 - d**7/18 + 217*d**6/720 - 139*d**5/180 + 43*d**4/48 - d**3/2 - 50*d**2. Solve p(k) = 0.
1/4, 1/2, 2, 3
Suppose -25*b - 80 = -41*b. Suppose 6*z - 2*u + 6 = 4*z, -5*z = b*u - 35. Factor -2/3*p**4 - 2/3*p**3 + 2/3*p**z + 0 + 2/3*p.
-2*p*(p - 1)*(p + 1)**2/3
Let n = 668/5 + -1994/15. Factor -2/3*m + 0 - n*m**2.
-2*m*(m + 1)/3
Suppose -5618/5 - 2/5*i**2 - 212/5*i = 0. What is i?
-53
Let q = -6 + -4. Let t be (-2 + q)/(12/(-8)). Factor 0 - 3*l**3 + l**2 + t*l**2 + 3 - 9*l.
-3*(l - 1)**3
Factor 0 - 2/9*s**5 + 2/3*s**3 - 10/9*s**2 + 4/9*s + 2/9*s**4.
-2*s*(s - 1)**3*(s + 2)/9
Let h(o) be the first derivative of -o**4/34 + 12*o**3/17 - 105*o**2/17 + 392*o/17 - 85. Factor h(p).
-2*(p - 7)**2*(p - 4)/17
Let l(b) be the first derivative of -4*b + 5 - 4*b**3 + 16/5*b**5 + 10*b**2 - 5*b**4. Determine x, given that l(x) = 0.
-1, 1/4, 1
Let n(q) be the first derivative of q**4/18 - 52*q**3/27 - q**2/9 + 52*q/9 + 178. Factor n(t).
2*(t - 26)*(t - 1)*(t + 1)/9
Let u(z) be the third derivative of z**7/140 - z**6/10 + 9*z**5/20 - z**4 + 5*z**3/4 + 2*z**2 - 16*z. Find n, given that u(n) = 0.
1, 5
Let w(m) = -3*m**2 + 145*m + 1255. Let q(h) = -h**2 + 9*h + 1. Let o(c) = 5*q(c) - w(c). Factor o(l).
-2*(l + 25)**2
Let t = 266 + -225. Let q = t + -37. Find g, given that -5/2*g**3 + 0*g + 0 - 5/4*g**q - 5/4*g**2 = 0.
-1, 0
Let n(k) be the third derivative of k**9/453600 + k**8/30240 + 37*k**5/60 - 30*k**2. Let y(g) be the third derivative of n(g). Factor y(a).
2*a**2*(a + 5)/15
Let z be (-2)/(24/9)*2320/(-348). Let 15/7*u**4 + 6/7*u**3 + 3/7*u + 3/7 - 9/7*u**z - 18/7*u**2 = 0. What is u?
-1, -1/3, 1
Let w(g) be the first derivative of 3/16*g**4 - 8 - 9/8*g**2 + 3/2*g + 0*g**3. Factor w(q).
3*(q - 1)**2*(q + 2)/4
Let g(k) be the first derivative of -2*k**6/105 + 2*k**5/35 - k**4/21 + k + 15. Let l(h) be the first derivative of g(h). Suppose l(w) = 0. Calculate w.
0, 1
What is p in 5/4*p**2 - 1/4*p**3 - 1/2*p - 2 = 0?
-1, 2, 4
Let c = -122 + 614/5. Let v(x) = x**3 - 3*x**2 - 4*x + 15. Let o be v(2). Determine a so that c - 2/5*a**o + 2/5*a - 4/5*a**2 = 0.
-2, -1, 1
Solve -13/3*t**2 - 4*t - 1/3*t**4 - 2*t**3 - 4/3 = 0.
-2, -1
Let b(y) be the third derivative of -y**5/40 - 17*y**4/4 - 289*y**3 + 235*y**2. Suppose b(v) = 0. What is v?
-34
Let o(y) be the third derivative of -y**6/1260 + y**4/84 + 5*y**3/3 - 14*y**2. Let n(p) be the first derivative of o(p). Suppose n(v) = 0. What is v?
-1, 1
Solve 0*d**2 + 0 + 2/9*d**4 + 8/9*d - 2/3*d**3 = 0.
-1, 0, 2
Let o be 5/15*45/(-3). Let d be (-160)/25*o*1. Factor 2*g - d + 32 - 2*g**2.
-2*g*(g - 1)
Let o = 1029 - 46301/45. Let d = o - -2/45. Determine n, given that 0 - 16/15*n**2 - d*n**3 - 32/15*n = 0.
-4, 0
Let f(d) = -8*d**2 - 1659*d - 86478. Let o(s) = 20*s**2 + 4148*s + 216200. Let g(a) = 12*f(a) + 5*o(a). Determine i, given that g(i) = 0.
-104
Let i(f) be the first derivative of 0*f + 0*f**2 - 1/22*f**4 - 13 - 2/33*f**3. Factor i(y).
-2*y**2*(y + 1)/11
Factor 5/3 - 8/3*a**3 - 11*a**2 + 12*a.
-(a - 1)*(a + 5)*(8*a + 1)/3
Let y = 458 + -316. Let h = y + -140. Find x, given that 3/2 - 3/4*x**h - 3/4*x = 0.
-2, 1
Let r(z) be the first derivative of -12*z**5/5 + 31*z**4 - 1021*z**3/9 + 155*z**2/3 - 25*z/3 + 266. Factor r(t).
-(t - 5)**2*(6*t - 1)**2/3
Let g(d) be the second derivative of -15*d**7/7 - 8*d**6/15 + 2*d**5/5 - d - 1. Solve g(n) = 0.
-2/5, 0, 2/9
Let u be (1 - (-1)/1)*(17 - 15). Suppose -2*f + u*p = -28, -2*p + 2 = 2*f + 4. Let -o