10*l + 11*l**3 - 14*l**3 - 4 + l**3 = 0?
-2, -1
Find b such that -4*b**4 + 3*b**5 + 13*b**4 - 9*b**4 - 3*b**3 = 0.
-1, 0, 1
Let p(v) be the second derivative of 25*v**7/84 + v**6/3 - 21*v**5/40 - 5*v**4/6 - v**3/3 - 5*v. What is u in p(u) = 0?
-1, -2/5, 0, 1
Suppose d - 1 = 4*z, d - z = -2*d + 3. Let n(c) be the first derivative of 5/2*c**2 - d + 2*c - 4*c**3. Let n(t) = 0. What is t?
-1/4, 2/3
Let h = -94 + 134. Let f = h + -40. Determine l, given that f - 3/5*l - 3/5*l**2 = 0.
-1, 0
Let i(d) be the second derivative of 5/7*d**4 + 12/7*d**3 + 1/10*d**5 + 8/7*d**2 + 0 + 5*d. Factor i(l).
2*(l + 2)**2*(7*l + 2)/7
Suppose 5 = 6*b - 19. Factor -2/5*h**b - 4/5*h**3 + 0*h - 2/5*h**2 + 0.
-2*h**2*(h + 1)**2/5
Let b(h) be the first derivative of -h**4/4 - 2*h**3 - 6*h**2 + 2*h - 1. Let u(w) be the first derivative of b(w). Factor u(z).
-3*(z + 2)**2
Let s(v) be the second derivative of -1/180*v**6 + 1/120*v**5 + 1/72*v**4 + 0 + 0*v**3 + v - 1/252*v**7 + 0*v**2. Let s(m) = 0. Calculate m.
-1, 0, 1
Let v = 12 - -20. Let p = v + -127/4. Let -1/4*k + 1/4*k**2 + 0 - p*k**4 + 1/4*k**3 = 0. What is k?
-1, 0, 1
Factor 26 + 3*t**2 - 15*t**2 - 10 + 4*t**3.
4*(t - 2)**2*(t + 1)
Let v(z) be the first derivative of z**4 + 2/5*z**5 + 2*z + 1 - 1/3*z**6 - 4/3*z**3 - z**2. Factor v(a).
-2*(a - 1)**3*(a + 1)**2
Let d = 1 - -2. Suppose 4*x - 2*u - 11 = -d*u, -3*x + 4*u = 6. Solve 0 - 1/3*m**x - 1/3*m = 0.
-1, 0
Let o(s) = -2*s**2 + 9*s - 7. Let b(j) = -2*j**2 + 10*j - 8. Let l(k) = -5*b(k) + 6*o(k). Factor l(m).
-2*(m - 1)**2
Let t = -8/31 - -253/620. Let c(m) be the first derivative of -3/4*m**2 + 3/8*m**4 + 0*m**3 - 3/4*m + t*m**5 - 2. Find k such that c(k) = 0.
-1, 1
Let m = 25 + -10. Suppose z - 4*z + m = 0. Let -2 + z*w**3 + 5*w**2 + w - 2*w**3 - 3*w**4 - 4*w**3 = 0. What is w?
-1, 2/3, 1
Suppose 4*g - 5*g = -230. Let a = g + -2068/9. What is r in -4/3*r**2 + 2/9 - 2/3*r**5 + 4/9*r**3 + 10/9*r**4 + a*r = 0?
-1, -1/3, 1
Determine b so that -4*b**3 - b - 2*b**2 + 5*b**3 + 17 - 15 = 0.
-1, 1, 2
Let c(m) = -4*m**2 - m - 1. Suppose 3*w = 6*w + 21. Let z(k) = -9*k**2 - 2*k - 3. Let l(s) = w*c(s) + 3*z(s). Let l(r) = 0. What is r?
-2, 1
Factor -35 - 16*c**2 - 4*c**3 + 35 - 16*c.
-4*c*(c + 2)**2
Let f(l) be the third derivative of -1/132*l**4 + 2*l**2 + 0*l + 0 + 0*l**3 - 1/660*l**6 + 1/165*l**5. Let f(k) = 0. Calculate k.
0, 1
Let z(c) be the first derivative of -c**3/3 + c**2/2 + 2. Determine r, given that z(r) = 0.
0, 1
Let a = 3 - 1. Let n be (30/(-50))/(a/(-10)). Let -4/5*o**4 + 0*o**n + 2/5*o**5 + 0 + 4/5*o**2 - 2/5*o = 0. Calculate o.
-1, 0, 1
Suppose -4*d - 3*w + 0 - 6 = 0, d - 2 = w. Let a = -140/3 + 47. Factor a*s**2 - 1/3*s + d.
s*(s - 1)/3
Let p(m) = 4*m + 24. Let s be p(-6). Determine v so that s*v + 0 - 1/2*v**2 = 0.
0
Let u(b) be the first derivative of -b**3/15 + 3*b**2/10 - 7. Factor u(i).
-i*(i - 3)/5
Factor 4*n - 15*n + n**2 + 5*n.
n*(n - 6)
Let l = 7333/9 + -813. Factor l*t**3 - 10/9*t**4 + 8/9*t**2 + 0 + 0*t.
-2*t**2*(t - 2)*(5*t + 2)/9
Let l(n) be the second derivative of n**4 + 8*n**3/3 - 8*n**2 - 17*n - 2. Factor l(o).
4*(o + 2)*(3*o - 2)
Let p be (-2)/6 + 164/480. Let r(d) be the third derivative of 0*d + p*d**5 + 1/12*d**3 - d**2 + 1/24*d**4 + 0. Factor r(y).
(y + 1)**2/2
Suppose 0*h + 17 = -3*n + 5*h, -4*n + h = 17. Let c be -1*(-1)/((-2)/n). Factor -2*u**3 - u**2 - 3*u**2 + 4*u**3 + c*u.
2*u*(u - 1)**2
Let m = 9 - 3/2. Find t such that -15*t**3 + m*t**4 - 3/2*t**5 + 15*t**2 - 15/2*t + 3/2 = 0.
1
Let a(z) = -z**2 + 14*z - 16. Let s be a(12). Suppose 2 + s = 5*o. Factor 1/4*q**3 - 3/4*q - 1/2 + 0*q**o.
(q - 2)*(q + 1)**2/4
Let a(f) be the third derivative of f**6/360 - f**5/160 - f**4/96 - f**3/2 + 3*f**2. Let k(r) be the first derivative of a(r). Determine c so that k(c) = 0.
-1/4, 1
Suppose -f + 2 = 2*u, -2*u - 1 = 3*u + 4*f. Suppose 3*x - 20 = -x. Factor -n**u - 2*n**5 + n**x + 3*n**3 - n.
-n*(n - 1)**2*(n + 1)**2
Let p(v) = v**2 - 5*v + 6. Suppose -2*n + 8 = -0*n. Let c be p(n). Determine x, given that -2*x**2 - 3*x**5 - 2*x**5 + 4*x**5 - 2*x**3 + c*x**4 + 3*x**5 = 0.
-1, 0, 1
Let i(z) be the second derivative of -z**4/30 - 3*z**3/5 + 2*z**2 + 2*z - 14. Find f, given that i(f) = 0.
-10, 1
Let m(y) = -y**2 - 1. Let n(g) = 2*g**2 - 24*g + 18. Let z(c) = -2*m(c) + n(c). Suppose z(b) = 0. What is b?
1, 5
Let c(a) = -a - 2. Let j be c(-6). Let g = -25 - -33. Factor -5*r**3 - g*r**j + 3*r**3 + 12*r**3 - 2*r**2.
-2*r**2*(r - 1)*(4*r - 1)
Let v be 2*(-39)/(-18)*-3. Let s = v - -19. Factor -2*j - 6 + 4 + s*j - 2*j**2.
-2*(j - 1)**2
Let f be 3/((-18)/20)*-3. Let p = f - 8. Find r such that 0*r**p - 2/5*r + 0*r**4 - 2/5*r**5 + 4/5*r**3 + 0 = 0.
-1, 0, 1
Let r(k) be the third derivative of 1/15*k**3 + 10*k**2 + 0 + 0*k - 1/30*k**4 + 1/150*k**5. Let r(a) = 0. What is a?
1
Let x be (-7)/14*4/(-7). Factor 0*j + 0 + 2/7*j**4 + 0*j**2 - x*j**5 + 0*j**3.
-2*j**4*(j - 1)/7
Determine h, given that -12/5*h + 18/5*h**2 + 2/5 - 8/5*h**3 = 0.
1/4, 1
Let n(i) = -3*i + 7 - 9 + 8 - 2 - i**2. Let a be n(-4). Find c, given that -3/2*c**2 - 3/4*c + a - 3*c**4 + 21/4*c**3 = 0.
-1/4, 0, 1
Factor -55*c + 35*c - 4*c**2 + 14*c**2 - 15*c + 15.
5*(c - 3)*(2*c - 1)
Let x be (7*-1)/(-5 + 4). Suppose x*a - 3*a = 12. Factor 0*m**2 - m**4 - m**a + 2*m**3 - m**5 + m**2.
-m**2*(m - 1)*(m + 1)**2
Let m(z) be the second derivative of -z**5/15 + z**4/9 + 2*z**3/9 - 2*z**2/3 - 5*z + 3. Factor m(u).
-4*(u - 1)**2*(u + 1)/3
Let h(f) be the first derivative of f**6/600 + f**5/100 - 4*f**3/3 - 2. Let q(x) be the third derivative of h(x). Factor q(l).
3*l*(l + 2)/5
Suppose 14*z + 4 = 16*z. Factor 50/3*o**3 + 7/3*o**5 + 5*o - 2/3 - 40/3*o**z - 10*o**4.
(o - 1)**4*(7*o - 2)/3
Let v = -98 - -170. Let c be 2/v*3*3. Suppose 0 - 3/4*m**2 - c*m = 0. What is m?
-1/3, 0
Find h such that 8/11*h + 2/11*h**3 + 0 + 8/11*h**2 = 0.
-2, 0
Let x(r) = 10*r**2 + 8*r + 10. Let f(j) = 29*j**2 + 24*j + 29. Let o(v) = -6*f(v) + 17*x(v). Solve o(g) = 0.
-1
Let y(w) be the second derivative of -9/10*w**5 + 6*w + 0 + 2*w**2 + 7/3*w**4 + 2/15*w**6 - 3*w**3. Factor y(x).
2*(x - 2)*(x - 1)**2*(2*x - 1)
Let p(b) be the first derivative of 0*b**2 - 1/12*b**4 + 1/6*b**3 - 2*b - 2. Let k(h) be the first derivative of p(h). Factor k(f).
-f*(f - 1)
Let r(b) be the third derivative of 2*b**2 - 1/18*b**4 - 1/9*b**3 - 1/90*b**5 + 0*b + 0. Factor r(u).
-2*(u + 1)**2/3
Suppose -3*x + 8 = 4*p, -3*x - 2*x = -2*p + 4. Factor -2/3*g - 10/9*g**p + 4/9.
-2*(g + 1)*(5*g - 2)/9
Let f(z) be the first derivative of z**4/4 - 2*z**3 + 2*z - 2. Let g be f(6). Solve 8*i**g - i + 12*i**4 - 19*i**3 - 7*i**3 + 7*i**3 = 0.
0, 1/4, 1/3, 1
Let p be 0*(1 + -3 + 3). Let c(o) be the third derivative of 2*o**2 + 0 + 0*o**3 + 0*o - 1/480*o**6 + p*o**4 + 1/240*o**5. Let c(d) = 0. What is d?
0, 1
Suppose 3*j = -5*u, 2*u = -3*u. Let z(v) be the second derivative of 3*v - 1/2*v**2 + 1/12*v**4 + 0 + j*v**3. Factor z(a).
(a - 1)*(a + 1)
Let i = 8 - 4. Suppose k + i = 3*k. Factor 0 + 0*g - k*g**2 + 6*g - 4.
-2*(g - 2)*(g - 1)
Let h(q) be the first derivative of -q**6/540 - q**2/2 + 1. Let v(y) be the second derivative of h(y). Factor v(k).
-2*k**3/9
Let z = -18967/204825 - 2/2731. Let s = 217/75 + z. Factor -s*x**2 + 4/5 - 2*x.
-2*(x + 1)*(7*x - 2)/5
Let x(j) be the second derivative of -j**4/16 - j**3/4 + 5*j. Factor x(c).
-3*c*(c + 2)/4
Factor 9 + 15*k**3 - 17*k**2 + 8*k**2 - 3*k**4 - 15*k + 3.
-3*(k - 4)*(k - 1)**2*(k + 1)
Let v = 3/47 - -79/235. Let w = -193 + 967/5. Factor -w*s**3 + 2/5*s - v*s**4 + 2/5*s**2 + 0.
-2*s*(s - 1)*(s + 1)**2/5
Suppose b - 4 = 3. Suppose 0 = -2*q + b*q - 10. Factor -3*d**q + d**5 - d - 2*d**4 + 7*d**2 - 2*d**2.
d*(d - 1)**3*(d + 1)
Let h(z) be the second derivative of 0*z**2 + 4*z + 0 + 1/2*z**3 + 1/8*z**4. Suppose h(p) = 0. Calculate p.
-2, 0
Suppose -2*j = -3 - 5. Suppose 15 = -j*p + 7*p. Factor u**4 + u - 3*u**p - 6*u**2 + 3*u**4 + u**4 + 1 + 2*u**3.
-(u - 1)**3*(u + 1)*(3*u + 1)
Let z(y) be the first derivative of -y**4/2 + 3*y**2 - 4*y + 5. Factor z(t).
-2*(t - 1)**2*(t + 2)
Let s(l) be the third derivative of -l**7/840 - l**6/240 + l**4/48 + l**3/24 - 10*l**2. Factor s(m).
-(m - 1)*(m + 1)**3/4
Let d(r) be the second derivative of r**7/10080 + r**6/960 + r**5/240 - r**4/12 - 5*r. Let g(o) be the third derivative of d(o).