 -1, 0, 1
Let k(r) = 13*r**3 + 9*r + 9. Let d(a) = -3*a**3 - 2*a - 2. Let z = 2 - 4. Let w(p) = z*k(p) - 9*d(p). Factor w(m).
m**3
Let k(i) be the third derivative of -i**8/784 + 3*i**6/140 + 2*i**5/35 + 3*i**4/56 + 24*i**2. Suppose k(j) = 0. Calculate j.
-1, 0, 3
Let h(g) = 5*g**3 - 5*g**2 + 4*g - 2. Let n(j) = 20*j**3 + 3*j + 12*j + 2*j - 9 - 19*j**2. Let v(q) = 18*h(q) - 4*n(q). Factor v(d).
2*d*(d - 1)*(5*d - 2)
Suppose 2*f**3 + 3 + 216*f - 222*f - 7 = 0. What is f?
-1, 2
Let q(n) = n**4 + n**2 + n. Let z(k) = 4*k**5 - 2*k**4 - 8*k**3 - 14*k**2 - 2*k + 4. Let b(r) = -6*q(r) - z(r). Let b(v) = 0. Calculate v.
-1, 1
Suppose -4*x + 5*c - 75 = x, -5*x - 75 = -2*c. Let p be (-20)/x*(-2)/(-4). Determine y, given that p + 0*y**2 + 4/3*y**3 - 2/3*y**4 - 4/3*y = 0.
-1, 1
Suppose -3*p = -6*p, -3*c = 2*p + 3. Let w be (c - 51/(-42))*4. Factor -2/7 - 6/7*k**2 - 2/7*k**3 - w*k.
-2*(k + 1)**3/7
Suppose -2*t - 8*t = -40. Let y(u) be the second derivative of 1/36*u**t + 1/6*u**2 - u + 0 + 1/9*u**3. Factor y(x).
(x + 1)**2/3
Suppose p + 2*w + 7 = 2*p, -2*p + 5*w = -16. Suppose 0 = 2*r - p - 1. Let 0 + 3/4*n**r - 3/2*n = 0. Calculate n.
0, 2
What is t in -t**2 - 39*t + 90*t - 48*t = 0?
0, 3
Let m = -2 - -4. Suppose 0 = 3*u - s + 2, 4*s + m = -2*u + 10. Let l - 2*l + u*l + 3*l + 2*l**2 = 0. Calculate l.
-1, 0
Let m(d) be the second derivative of -d**6/10 - 3*d**5/20 + 3*d**4/4 + d**3/2 - 3*d**2 - 17*d. Determine h, given that m(h) = 0.
-2, -1, 1
Let m(a) be the first derivative of -a**4/24 + a**3/12 - 3*a + 3. Let d(b) be the first derivative of m(b). Factor d(y).
-y*(y - 1)/2
Let w = 23/29 - 57/145. Find j, given that 0*j**2 + 0 + 2/5*j**3 + w*j**4 + 0*j = 0.
-1, 0
Let c = -4 + 6. Suppose 0*k + 5*k - 12 = 4*v, 0 = 4*v - 2*k. Determine b, given that 0 + 9*b + c + 3*b**v + b**2 = 0.
-2, -1/4
Let v(y) be the first derivative of y**7/70 - y**6/20 - y**5/20 + y**4/4 + 3*y**2/2 - 7. Let f(g) be the second derivative of v(g). Factor f(r).
3*r*(r - 2)*(r - 1)*(r + 1)
Let y(z) be the third derivative of 1/330*z**5 + 0 + 1/385*z**7 + 0*z**3 + 2*z**2 - 1/220*z**6 + 0*z + 0*z**4 - 1/1848*z**8. Factor y(l).
-2*l**2*(l - 1)**3/11
Suppose -5*j + 48 = -2*j. Let x be j/(-12)*3/(-12). Factor 0 + x*l**2 + 0*l.
l**2/3
Let k(t) be the third derivative of t**7/7560 + t**6/2160 - t**5/180 + 7*t**4/24 + 5*t**2. Let c(f) be the second derivative of k(f). Factor c(a).
(a - 1)*(a + 2)/3
Let p(c) = -3*c**4 + 6 + c**2 - 3*c**2 - c**3 - c**4 - c**4. Let r(s) = -4*s**4 - s**3 - 2*s**2 + 5. Let g(w) = 5*p(w) - 6*r(w). Factor g(q).
-q**2*(q - 2)*(q + 1)
Let d(g) be the first derivative of 0*g**2 - 1/9*g**3 + 0*g**4 + 1/6*g + 6 + 1/30*g**5. Determine w so that d(w) = 0.
-1, 1
Let g(j) be the third derivative of -j**5/18 + j**4/18 + 48*j**2. Factor g(k).
-2*k*(5*k - 2)/3
Factor 0*n + 2/11*n**3 + 0 + 0*n**2 - 2/11*n**5 + 0*n**4.
-2*n**3*(n - 1)*(n + 1)/11
Let k(f) be the second derivative of 0 - 1/20*f**4 - 1/30*f**3 - 3*f + 0*f**2. Factor k(w).
-w*(3*w + 1)/5
Let i be ((-9)/(-15))/((-28)/(-120)). Factor -i - 2/7*v**2 - 12/7*v.
-2*(v + 3)**2/7
Suppose 4*x + 16 = 0, 3*x = -q - x - 13. Factor 2/11*n**2 + 0*n + 0 + 2/11*n**q.
2*n**2*(n + 1)/11
Let s = 10 + -4. Solve 3 - u - 1 - s + 5*u - u**2 = 0.
2
Let q(j) be the second derivative of -j**9/12960 + j**8/20160 - j**4/2 - 4*j. Let t(r) be the third derivative of q(r). Factor t(a).
-a**3*(7*a - 2)/6
Let z(u) be the second derivative of 3/4*u**4 + u + 0 - u**3 - 3/20*u**5 + 0*u**2. Factor z(l).
-3*l*(l - 2)*(l - 1)
Let p(y) be the third derivative of y**10/21600 - y**9/30240 - y**8/2880 + y**7/2520 - y**5/60 + 9*y**2. Let q(h) be the third derivative of p(h). Factor q(z).
z*(z - 1)*(z + 1)*(7*z - 2)
Let s(f) = f**2 + 12*f + 4. Let c be s(-12). Suppose 0 = c*h - 0*h. Factor 0*d + 0 - 1/2*d**3 + h*d**2.
-d**3/2
Find u such that 10/3*u**2 + 2/9*u**4 - 2*u + 0 - 14/9*u**3 = 0.
0, 1, 3
Let h(x) be the second derivative of -5*x**4/12 + 35*x**3/6 - 25*x**2 + 32*x. Let h(c) = 0. What is c?
2, 5
Let h be -3 + 7*(-52)/(-120). Let a(p) be the third derivative of 0*p - 1/12*p**4 + p**2 + 0 + 0*p**3 - h*p**5. Let a(i) = 0. What is i?
-1, 0
Let r(h) = -h**2 + 8*h - 8. Let j be r(6). Factor -6 + 5*c**4 + 27*c**2 + 14*c**4 - 4*c**j - 3*c + 14*c**3 + 25*c**3.
3*(c + 1)**3*(5*c - 2)
Let x(y) be the first derivative of -50*y**6/3 + 7*y**5 + 155*y**4/4 - 25*y**3/3 - 55*y**2/2 - 10*y - 9. Suppose x(s) = 0. What is s?
-1, -2/5, -1/4, 1
Let d(t) be the second derivative of 7*t**4/30 - 11*t**3/5 - 2*t**2 + 15*t. Factor d(k).
2*(k - 5)*(7*k + 2)/5
Let d(m) be the first derivative of -5*m**6/6 - 2*m**5 - 5*m**4/4 - 2. Suppose d(l) = 0. What is l?
-1, 0
Let d(l) be the second derivative of l**4/84 - 2*l**3/21 + l - 39. Factor d(h).
h*(h - 4)/7
Let v = -7 - -10. Suppose 3*l + v - 9 = 0. Factor 2*b**2 + 8*b + 0*b**2 - 4*b**l - 8.
-2*(b - 2)**2
Let u be (-2 + 1)/(1/(-2)). Factor -o**2 + 4*o**4 - 3*o**u + 2*o + 0*o - 2*o**5.
-2*o*(o - 1)**3*(o + 1)
Let o = 93 + -93. Let n(g) be the first derivative of 1/20*g**4 - 1/25*g**5 + 2 + 0*g**2 - 1/30*g**6 + 1/15*g**3 + o*g. Suppose n(k) = 0. What is k?
-1, 0, 1
Let k(g) = -16*g**4 + 10*g**3 - 5*g**2 + 11*g + 11. Let a(v) = 0 + 2*v - v**2 + 2*v**4 + v**3 + 2 - 5*v**4 + v**3. Let n(h) = 11*a(h) - 2*k(h). Solve n(q) = 0.
0, 1
Suppose -3 = 4*k - 7*k. Let y(g) = -k - 2 - g + 4. Let v(q) = q**2 + q + 2. Let p(d) = -2*v(d) + 2*y(d). Factor p(l).
-2*(l + 1)**2
Let h(q) be the first derivative of -3*q**4/4 - q**3 + 3*q**2 - 6. Factor h(i).
-3*i*(i - 1)*(i + 2)
Let i(m) be the third derivative of 0*m + 1/2*m**3 + 0*m**6 + 0 - 1/10*m**5 + 1/70*m**7 - 3*m**2 + 0*m**4. Let i(c) = 0. What is c?
-1, 1
Let u(a) be the third derivative of a**6/1200 + a**5/40 + 21*a**4/80 + 49*a**3/60 - 19*a**2. Factor u(l).
(l + 1)*(l + 7)**2/10
Let 3*p + 5 - 3*p**3 - 5*p**2 + 2*p - 2*p**3 = 0. What is p?
-1, 1
Suppose 5*w - 12 = -n + 11, -4*n + 2*w + 4 = 0. Suppose 8 = 2*s + 2*j, -n*s - j + 2 = -8. Factor 0 + 0*v**s + 0*v**2 + 1/2*v**4 + 0*v.
v**4/2
Let b(x) be the first derivative of x**3/27 + x**2/18 - 15. Solve b(j) = 0.
-1, 0
Let j(r) be the second derivative of r**5/20 + r**4/4 + r**3/3 + 4*r. Suppose j(v) = 0. What is v?
-2, -1, 0
Let m = 46 - 44. Factor 1/2*t**m + 0*t**4 - 3/4*t + t**3 - 1/2 - 1/4*t**5.
-(t - 2)*(t - 1)*(t + 1)**3/4
Let s = -62 - -497/8. Let m(k) be the first derivative of 0*k**3 - s*k**4 + 0*k - 1/4*k**6 + 2/5*k**5 + 4 + 0*k**2. Factor m(t).
-t**3*(t - 1)*(3*t - 1)/2
Let p(m) be the second derivative of m**6/50 - 3*m**5/50 - m**4/20 + m**3/5 - 34*m. Factor p(r).
3*r*(r - 2)*(r - 1)*(r + 1)/5
Let z be (-45)/(-6)*(-12)/18. Let a be z/(-35) - 6/(-56). Factor 1/4*j**2 - 1/2*j + a.
(j - 1)**2/4
Let d = 24 - 28. Let c(w) = 5 - 5*w**2 + 0*w**3 - w**3 - w + 6*w. Let l(v) = v**3 + 6*v**2 - 6*v - 6. Let i(z) = d*l(z) - 5*c(z). Factor i(b).
(b - 1)*(b + 1)**2
Let n be 1/2*16/7. Factor -2/7*z**3 - 16/7*z + n + 10/7*z**2.
-2*(z - 2)**2*(z - 1)/7
Determine s, given that 2/5*s**3 - 12/5*s**4 + 26/5*s**2 - 2*s - 6/5 = 0.
-3/2, -1/3, 1
Let k = 0 + -1. Let u be k/3*(3 - 9). Determine r, given that -r**u + 2*r**2 + 2*r - 3*r**2 = 0.
0, 1
Let u(w) be the first derivative of 3*w**2 + 4*w + 9*w**2 + w**3 + 17*w + 27*w + 3. What is o in u(o) = 0?
-4
Let t(w) be the first derivative of 5 + 4/7*w + 8/7*w**2 + w**3 + 9/28*w**4. Find n such that t(n) = 0.
-1, -2/3
Suppose t**4 + 4*t**4 - 3*t**4 - 12*t**2 + 10*t - 3*t**4 - 3 + 6*t**3 = 0. Calculate t.
1, 3
Let v be 2 - (6/4 + 0/7). Solve -1/2*w**4 + v*w**5 + 0*w**2 + 0*w**3 + 0*w + 0 = 0 for w.
0, 1
Let y(n) = -3*n**2 - n + 2. Let q(r) = r + 1. Let d(z) = -5*q(z) + y(z). Factor d(k).
-3*(k + 1)**2
Let o(c) be the second derivative of -c**5/10 + c**4/2 - 2*c**3/3 + c. Factor o(m).
-2*m*(m - 2)*(m - 1)
Let r be (-12)/18 + (-44)/(-12). Factor 2*t**2 + 1/3 + 4/3*t + 1/3*t**4 + 4/3*t**r.
(t + 1)**4/3
Factor -4/3*c - 14/3*c**2 + 0.
-2*c*(7*c + 2)/3
Let x be (-3 + 2 + 1)/(3 - 4). Let p(c) be the second derivative of x + 1/18*c**3 - 1/60*c**5 + 2*c + 0*c**4 + 0*c**2. What is v in p(v) = 0?
-1, 0, 1
Factor 0 - 1/3*s - s**2 - s**3 - 1/3*s**4.
-s*(s + 1)**3/3
Suppose -2/13*q**4 - 10/13*q**3 - 18/13*q**2 - 4/13 - 14/13*q = 0. Calculate q.
-2, -1
Let g be (-1 - 0)/(4/(-8)). Let z be 0/(g + 2 + -3). Solve z + 0*b + 0*b**2 - 2/7*b*