t t be z(0). Let -6*a**2 - a**2 + 3*a**2 + t*a**3 - 2*a**3 = 0. What is a?
-2, 0
Let v(l) be the second derivative of 9*l**6/50 + 63*l**5/100 + l**4/20 - 9*l**3/10 + 3*l**2/5 + 75*l. Suppose v(r) = 0. Calculate r.
-2, -1, 1/3
Let g(w) be the third derivative of w**5/15 - 22*w**4/3 + 968*w**3/3 + 64*w**2. Factor g(m).
4*(m - 22)**2
Let s(z) = 49*z + 686. Let f be s(-14). Let k(r) be the second derivative of 0*r**2 + 0 + 4*r + f*r**3 + 1/54*r**4. Find l such that k(l) = 0.
0
Solve -42/5*z - 8*z**3 + 1/5*z**4 + 0 - 83/5*z**2 = 0.
-1, 0, 42
Let z(h) be the third derivative of h**9/100800 - h**8/16800 - h**7/8400 + h**6/600 - 2*h**5/15 + h**2. Let n(w) be the third derivative of z(w). Factor n(p).
3*(p - 2)*(p - 1)*(p + 1)/5
Let v(y) = -y**2 + 5*y - 9. Let n(a) = 3*a**2 - 11*a + 17. Let c(w) = 3*n(w) + 7*v(w). Factor c(i).
2*(i - 2)*(i + 3)
Let v(w) = -w**3 - 15*w**2 - w - 12. Let f be v(-15). Suppose 0*i + f*i = -5*r + 23, 0 = 4*i - 4. Factor 4 - 6*x**2 - 2*x**3 - 3*x + 2*x**4 + r*x**3 + x.
2*(x - 1)**2*(x + 1)*(x + 2)
Let i(o) be the third derivative of -o**7/840 + o**5/40 + o**4/12 - 43*o**3/6 - 27*o**2. Let u(b) be the first derivative of i(b). Factor u(d).
-(d - 2)*(d + 1)**2
Factor 0 - 7/2*k**2 - 33/4*k - 1/4*k**3.
-k*(k + 3)*(k + 11)/4
Factor -12*l + 15*l**2 + 26*l**2 + 6*l**2 + 13*l**2 + 2*l**3 - 29*l**3.
-3*l*(l - 2)*(9*l - 2)
Factor -6*h**2 + 69*h**3 - 112*h**3 + 76*h**3.
3*h**2*(11*h - 2)
Let y(z) be the first derivative of 3*z**5/25 + 3*z**4/4 - 6*z**3/5 + 339. Factor y(o).
3*o**2*(o - 1)*(o + 6)/5
Factor 1/6*v**2 - 7/6*v + 5/3.
(v - 5)*(v - 2)/6
Let u(t) = 54*t + 50. Let g(d) = d**2 + 271*d + 248. Let z(i) = 2*g(i) - 11*u(i). Determine o, given that z(o) = 0.
-1, 27
Let x(m) = m**2 + 1. Let d(l) = -3*l**2 + 16*l - 13. Let p(i) = -d(i) - 6*x(i). Let r(h) = -h**2 - 5*h + 2. Let q(j) = 2*p(j) - 7*r(j). Solve q(g) = 0 for g.
-3, 0
Let m(n) be the third derivative of n**7/70 + 37*n**6/20 + 273*n**5/4 - 37*n**4 - 2738*n**3 + 100*n**2 - 4. Factor m(p).
3*(p - 2)*(p + 2)*(p + 37)**2
Let r(y) be the first derivative of 1/3*y**2 + 1/36*y**4 - 1 + 5*y - 1/6*y**3. Let p(k) be the first derivative of r(k). Factor p(w).
(w - 2)*(w - 1)/3
Let k(r) be the first derivative of 0*r + 1 - 2/5*r**2 - 2/15*r**3. Factor k(s).
-2*s*(s + 2)/5
Let y(c) = -c**3 - c**2 + c - 2. Let b(a) = 2*a**3 - 4*a**2 - 2*a + 7. Let p(f) = b(f) + y(f). Factor p(q).
(q - 5)*(q - 1)*(q + 1)
Determine r so that 3/2*r**2 + 279/2*r + 0 = 0.
-93, 0
Let a(g) be the third derivative of g**6/120 - g**5/20 + g**4/8 + g**3/6 + 4*g**2. Let i be a(3). Factor 10 - 3*n**5 - 3*n**4 - i + 6*n**3.
-3*n**3*(n - 1)*(n + 2)
Let t(n) be the second derivative of 0*n**3 - 1/24*n**4 + 9/4*n**2 - 6 - n. Find a, given that t(a) = 0.
-3, 3
Let a(v) be the third derivative of 3*v**8/112 - v**7/70 - 11*v**6/40 + 9*v**5/20 + v**4/2 - 2*v**3 - 4*v**2 + 1. Factor a(d).
3*(d - 1)**3*(d + 2)*(3*d + 2)
Let q be (-8)/(-24) - (-277)/3. Let m = q - 92. What is t in 0 - m*t**2 + 4/3*t = 0?
0, 2
Let -1/2*y**3 + 19 + 1/2*y - 19*y**2 = 0. What is y?
-38, -1, 1
Let t(r) = -15*r**3 - 310*r**2 - 1920*r + 5120. Let n(a) = 7*a**3 + 154*a**2 + 960*a - 2560. Let x(q) = -5*n(q) - 2*t(q). Suppose x(m) = 0. What is m?
-16, 2
Let s(r) = -r**3 + 15*r**2 - 3. Let l be s(15). Let x = l + 15/4. Solve 3/4*h**2 - x*h**3 - 1/4*h + 1/4*h**4 + 0 = 0 for h.
0, 1
Let m(p) = -p**5 + 0 + 3 + 139*p**2 - p**4 - 5*p**3 - 143*p**2 + p + 3*p**5 + 3*p**4. Let g(y) = 0 + 1 - 2*y - y**3 + y. Let k(n) = -g(n) + m(n). Factor k(b).
2*(b - 1)**2*(b + 1)**3
Let b = -7206 - -7208. Factor 8/7*x**b + 8/7*x - 2/7*x**4 + 0 - 2/7*x**3.
-2*x*(x - 2)*(x + 1)*(x + 2)/7
Solve 41*j**3 + 10*j**4 - 36*j**5 - 9*j**3 + 37*j**5 + 32*j**2 = 0 for j.
-4, -2, 0
Let f(a) be the second derivative of 5*a**4/72 + 5*a**3/18 - 25*a**2/4 - 3*a + 2. Factor f(j).
5*(j - 3)*(j + 5)/6
Let n = -70 - -16. Let y = n - -57. Solve 1/6*k**y + 1/3*k**2 - 1/3 - 1/6*k = 0 for k.
-2, -1, 1
Let p(t) be the second derivative of 16*t**6/15 + 8*t**5/5 + t**4 + t**3/3 + 7*t**2 - 8*t. Let r(g) be the first derivative of p(g). Factor r(j).
2*(4*j + 1)**3
Let k(u) = -11*u + 45. Let t be k(4). Let d(g) be the first derivative of 4/5*g - t + 28/15*g**3 - 9/5*g**2 + 4/25*g**5 - 9/10*g**4. Solve d(c) = 0.
1/2, 1, 2
Let o(z) be the third derivative of z**7/525 - z**6/100 - z**5/25 + 2*z**4/15 + 2*z**2 + 222*z. Factor o(m).
2*m*(m - 4)*(m - 1)*(m + 2)/5
Let j(b) be the third derivative of 1/80*b**6 + 0 - 1/20*b**5 + 3*b**2 + 0*b + 1/2*b**3 - 1/16*b**4. Solve j(x) = 0.
-1, 1, 2
Suppose 10 = 2*y - 3*o, 5*y - 2*o - 3 = 11. Factor -92*s - 18*s**3 + 58*s**2 + 14*s + 67 + y*s**4 - 31.
2*(s - 3)**2*(s - 2)*(s - 1)
Factor 8/9 - 2/9*q**3 - 2/3*q**4 + 22/9*q**2 - 8/3*q + 2/9*q**5.
2*(q - 2)*(q - 1)**3*(q + 2)/9
Let f = -1811/9 + 3631/18. Factor -5/2*w + f*w**2 - 3.
(w - 6)*(w + 1)/2
Let o(b) be the first derivative of -10/3*b**3 - 5/4*b**4 + 0*b**2 + 0*b - 22. Factor o(n).
-5*n**2*(n + 2)
Let y = 13 - 178. Let m be (-96)/y + ((-10)/(-25))/(-1). Factor 2/11*g**3 - 2/11*g + 2/11*g**2 - m.
2*(g - 1)*(g + 1)**2/11
Let h(w) be the first derivative of -w**3 + 33*w**2/2 - 54*w - 191. Factor h(j).
-3*(j - 9)*(j - 2)
Let x(a) be the first derivative of 1/6*a**4 + a**2 - 24 - 2/3*a**3 - 2/3*a. Let x(h) = 0. Calculate h.
1
Let s = 199 - 195. Let w(x) be the third derivative of 1/6*x**3 + 1/12*x**s + 1/60*x**5 + 0 + 2*x**2 + 0*x. Factor w(c).
(c + 1)**2
Factor -6073/4*t**3 - 67/2*t**4 - 24233*t**2 - 44044*t - 21296 - 1/4*t**5.
-(t + 1)**2*(t + 44)**3/4
Let q be (8/(-60))/((-49)/294). Factor q*l**2 + 16/5*l + 16/5.
4*(l + 2)**2/5
Find h such that -58 - 12*h**2 - 4*h**3 + 6 + 57*h + h**3 + 10 = 0.
-7, 1, 2
Determine d, given that -3/2 - 3/2*d**2 - 1/4*d**3 - 11/4*d = 0.
-3, -2, -1
Find t such that 2/3*t**2 + 4418/3 + 188/3*t = 0.
-47
Factor 7217*k**4 + 9*k**3 - 7214*k**4 - 13*k + 54 - 21*k**2 - 32*k.
3*(k - 2)*(k - 1)*(k + 3)**2
Find j such that -3/5*j**5 + 0*j + 12/5*j**2 + 3/5*j**3 + 0 - 12/5*j**4 = 0.
-4, -1, 0, 1
Let q = 27529/4 - 6882. Find c such that -1/2*c**2 + 0 + 1/4*c + q*c**3 = 0.
0, 1
Let r be (8/(-5))/(11/220). Let c be (r/48)/((-1)/6). Factor -3*v + 10*v**3 - 12*v**2 + 16 - 2*v**4 - v - c*v.
-2*(v - 2)**3*(v + 1)
Find j, given that -198*j - 63*j**3 + 363/2*j**2 + 15/2*j**4 + 54 = 0.
2/5, 2, 3
Let q be 1 - 26/22 - (-790)/110. Factor 3*a + q*a**2 - 6*a + 2*a**2.
3*a*(3*a - 1)
Let u(m) be the second derivative of 5*m**4/36 - 5*m**3/2 + 15*m**2 - 50*m. Factor u(d).
5*(d - 6)*(d - 3)/3
Suppose 2*m - 9 = 1. Suppose c = m*c - 20. Let -4*v**3 + 5*v + 4*v**2 + 2 + c*v**3 + 0*v = 0. Calculate v.
-2, -1
Let l be 2/4 + ((-275)/2)/11. Let p(t) = -5*t**2 + 4*t**2 - 5 - 2*t - 3*t. Let k(w) = 2*w**2 + 12*w + 12. Let h(s) = l*p(s) - 5*k(s). Factor h(z).
2*z**2
Let w be (3/2 - 1)/(6/96). Determine i so that -w*i**4 - 9*i**3 - 54*i**5 + 8*i**2 + i + 59*i**5 + 3*i = 0.
-1, -2/5, 0, 1, 2
Let m(a) = 5*a**3 + 54*a**2 + 43*a + 20. Let s(p) = p**3 + 13*p**2 + 11*p + 5. Let z(x) = -6*m(x) + 26*s(x). Find w, given that z(w) = 0.
-1, -1/2, 5
Let o(v) be the second derivative of -v**6/6 + 8*v**5 - 715*v**4/6 + 400*v**3 - 1125*v**2/2 - 671*v. Factor o(g).
-5*(g - 15)**2*(g - 1)**2
Suppose b - 2 = -0*j - 2*j, 0 = -5*b + j - 34. Let p be (1 + 1)*(b + 7). Factor m**2 + m**2 - 8*m + 3*m + 3*m**p.
5*m*(m - 1)
Let k = 6 - 4. Suppose 3*m = 2*n - 5 + k, 2*n + 2 = -2*m. Factor -11*p**3 + n*p**3 + 7*p**2 + 7*p + 6*p**2 - 9*p.
-p*(p - 1)*(11*p - 2)
Find n such that 58*n - 12*n - 62*n**3 + 18*n - 172*n**2 + 4*n**5 - 36*n**4 + 28*n**2 + 174*n**3 = 0.
0, 1, 2, 4
Let u = 18 - 124/7. Let d = 138 + -962/7. Factor 6/7*r + u*r**2 + d.
2*(r + 1)*(r + 2)/7
Let f(k) = -6*k**4 - 10*k**3 + 8*k + 2. Let m(y) = -8*y**4 - 11*y**3 - y**2 + 8*y + 3. Let n(q) = 3*f(q) - 2*m(q). Let n(c) = 0. What is c?
-4, -1, 0, 1
Let z(s) be the first derivative of 3*s**4/4 - 27*s**2/2 - 2. Factor z(d).
3*d*(d - 3)*(d + 3)
Let x(o) be the second derivative of o**5/10 - 2*o**4/3 + 4*o**3/3 - 2*o + 12. Factor x(d).
2*d*(d - 2)**2
Let d = -188/11 - -1139/66. Let t(w) be the first derivative of 2*w - w**2 + d*w**3 + 1. Factor t(l).
(l - 2)**2/2
Suppose -56 + 25 = -2*k - 5*r, 2*k + 2*r - 22 = 0. Factor k*x**3 - 14*x**4 - 4*x**2 + 28*x**2 + 10*x**3 - 7*x - x.
-2*x*(x - 2)*(x + 1)*(7*x - 2)
L