h + 0*u**3 = 0. What is u?
-1, 1
Let f(u) = 4*u**4 - 12*u**2 + 8*u + 4. Let r(b) = -b**5 - 3*b**4 + 13*b**2 - 9*b - 5. Let q(c) = 5*f(c) + 4*r(c). Factor q(h).
-4*h*(h - 1)**3*(h + 1)
Let i(t) be the first derivative of -2*t**3/27 + 8*t**2/9 - 32*t/9 + 46. Factor i(q).
-2*(q - 4)**2/9
Let o(l) be the third derivative of -l**5/30 - 3*l**4/20 - 4*l**3/15 + 4*l**2. Factor o(c).
-2*(c + 1)*(5*c + 4)/5
Let h(t) be the first derivative of -t**6/1620 - t**5/180 + t**3 - 4. Let g(q) be the third derivative of h(q). Find o such that g(o) = 0.
-3, 0
Let y = 5/13 - -4/91. Factor 0 + y*k**2 + 6/7*k**3 - 3/7*k**4 - 6/7*k.
-3*k*(k - 2)*(k - 1)*(k + 1)/7
Find c such that 2/5*c - 12/5*c**3 + 0 + 0*c**2 - 16/5*c**4 - 6/5*c**5 = 0.
-1, 0, 1/3
Let v(d) = -d**2 + d - 1. Let n(x) = -10*x**2 - 5*x - 10. Let h(b) = -n(b) + 5*v(b). Factor h(z).
5*(z + 1)**2
Factor 6*u + 5*u + 36*u**2 - 4*u + 20*u**4 + u + 48*u**3.
4*u*(u + 1)**2*(5*u + 2)
Let u = -26/7 - -319/84. Let v(w) be the second derivative of -w**2 + 1/2*w**3 - u*w**4 - 3*w + 0. Factor v(x).
-(x - 2)*(x - 1)
Let n = 57 - 170/3. Solve 0 - n*v**2 - 2/3*v = 0 for v.
-2, 0
Let h(c) = -2*c - 23. Let y be h(-13). Suppose y*u - 16 = -4*z + 1, -3*z = u - 9. Solve 0*d - 2/3*d**z + 1/3 + 1/3*d**4 + 0*d**3 = 0.
-1, 1
Let k be -1 + (0/(-2) - -3). Factor -1 - k*b**2 + 2 + 3 + 0 + 2*b.
-2*(b - 2)*(b + 1)
Let b be (-1)/11 - 17/(-66). Let s(k) be the second derivative of -2/3*k**3 - k + 0*k**2 + 0 + b*k**4. Suppose s(t) = 0. What is t?
0, 2
Let g = -64 + 67. Let y(s) be the first derivative of -2/3*s**g + 2 + 4*s - s**2. Factor y(l).
-2*(l - 1)*(l + 2)
Let x(a) be the third derivative of -a**8/672 + a**6/240 + 15*a**2. Find o, given that x(o) = 0.
-1, 0, 1
Let b(y) be the second derivative of y**4/10 + 7*y**3/15 + 2*y**2/5 + 6*y. Factor b(j).
2*(j + 2)*(3*j + 1)/5
Let z be 213/69 - 4/46. Determine y, given that -2/11*y**5 + 0 + 0*y**z + 2/11*y + 4/11*y**2 - 4/11*y**4 = 0.
-1, 0, 1
Let b(g) = -g**5 - 4*g**4 - 4*g**3 - g**2 + 5*g. Let w be 6/5*20/8. Let m(x) = -2*x**3 + 7*x - w*x - 2*x**4 - 2*x. Let u(v) = 2*b(v) - 5*m(v). Factor u(t).
-2*t**2*(t - 1)**2*(t + 1)
Let l(d) = 3*d**4 - 8*d**3 - 3*d**2 + 8*d. Let f(v) = -16*v**4 + 44*v**3 + 16*v**2 - 44*v. Let t(s) = -5*f(s) - 28*l(s). Factor t(k).
-4*k*(k - 1)**2*(k + 1)
Let f = 25/2 - 165/14. Let g(t) be the first derivative of 1/14*t**4 - 4 - 8/21*t**3 - 4/7*t + f*t**2. Factor g(m).
2*(m - 2)*(m - 1)**2/7
Let x(s) be the second derivative of s**7/105 + s**6/30 + s**5/30 - s**2/2 + 3*s. Let k(y) be the first derivative of x(y). Solve k(b) = 0.
-1, 0
Let d(z) be the first derivative of -5/6*z**3 + 2*z**4 - 1/2*z**2 - 9/10*z**5 - 2 + 0*z. Factor d(n).
-n*(n - 1)**2*(9*n + 2)/2
Let y(b) = -b**2 + 9*b - 3. Let q be y(8). Suppose -4*v = 3*o + 2, 0 = o - q*v - 12. Factor -2*r**4 - 6*r**3 + 2*r + 2*r**o + 0*r**4 + 4*r**3.
-2*r*(r - 1)*(r + 1)**2
Let x(w) be the third derivative of w**5/30 - w**4/12 + 6*w**2. What is i in x(i) = 0?
0, 1
Suppose -21 - 7 = -14*l. Factor -2*j - 1/2*j**4 - 3*j**l - 2*j**3 - 1/2.
-(j + 1)**4/2
Suppose -33*k**2 + k**3 + 29*k**2 + 3*k**3 - 2*k**3 = 0. What is k?
0, 2
Let o(k) be the first derivative of k**6/2 - 3*k**4 - 2*k**3 + 9*k**2/2 + 6*k + 9. What is v in o(v) = 0?
-1, 1, 2
Let p(y) = -4*y**5 - 8*y**4 - 8*y**3 - 4*y. Let f(c) = -c**5 - c**3 - c**2. Let z(h) = -8*f(h) + p(h). Suppose z(d) = 0. What is d?
-1, 0, 1
Let p(v) = -7*v**2 - 15*v. Let i(b) = -13*b**2 - 29*b. Let k(u) = 3*i(u) - 5*p(u). Factor k(z).
-4*z*(z + 3)
Let d be 2/(-12) - (1 - 266/36). Find i such that -2/3*i**4 - 68/9*i**2 - 34/9*i**3 - d*i - 16/9 = 0.
-2, -1, -2/3
Let f(k) be the first derivative of 4*k**3/3 - k**2 + 2*k - 1. Let j(y) = 4*y**2 - 2*y + 3. Let n(r) = 5*f(r) - 4*j(r). Factor n(c).
2*(c - 1)*(2*c + 1)
Suppose 8 = u + 2*h, 0*u + 3*h = -4*u + 37. Let i be u/35 - 12/(-7). Factor -1/2 + 5/2*v - 2*v**i.
-(v - 1)*(4*v - 1)/2
Suppose 0 = -t - 0 + 2. Suppose 2*r - q = -2, -3*r + 6 = t*q + 2. Factor -f**2 + 4*f - f**2 + r*f.
-2*f*(f - 2)
Let i(t) be the third derivative of 1/120*t**6 + 1/60*t**5 + 0*t**3 + 0 + 0*t**4 + 2*t**2 + 0*t - 1/105*t**7. Find o, given that i(o) = 0.
-1/2, 0, 1
Let u(k) = 46*k**3 - 20*k**2 - 2*k - 2. Let j(f) = 2*f**3 - f**2. Let n(g) = 44*j(g) - 2*u(g). What is r in n(r) = 0?
-1, 1
Let b(f) = -f**2 - 6*f + 9. Let j be b(-7). Factor 2*w - 6*w**2 - 5*w - w - 6*w**3 + j*w - 2*w**4.
-2*w*(w + 1)**3
Let 0*n**3 - 12*n - 3*n**3 - 2*n**3 - 8 + 9*n**3 = 0. Calculate n.
-1, 2
Suppose -5*b**5 + 8*b**3 + 5*b**5 - 1 - 10*b**2 - b**5 - 18*b**3 - 5*b**4 - 5*b = 0. Calculate b.
-1
Suppose 55*r = 76*r - 42. Let -2/3 + 4/9*b + 2/9*b**r = 0. What is b?
-3, 1
Let l(j) = 10*j + 5. Let i be l(-2). Let w be i/6 + (-12)/(-4). Factor 1/2*u**2 - w*u**4 + 0*u - 1/2*u**5 + 1/2*u**3 + 0.
-u**2*(u - 1)*(u + 1)**2/2
Let r be (-8)/45 + 4/10. Let c = 44 + -44. Factor -2/9*t + c + r*t**2.
2*t*(t - 1)/9
Let b(h) be the second derivative of 2*h + 3/20*h**5 + 0*h**2 + 1/6*h**3 + 1/30*h**6 + 1/4*h**4 + 0. What is m in b(m) = 0?
-1, 0
Let h(n) = -13*n**4 - 2*n**3 - 4*n - 4. Let u(o) = -9 + 2*o + 51*o**4 + 24 + 9*o**3 + 13*o. Let k(r) = -15*h(r) - 4*u(r). Solve k(g) = 0.
-2/3, 0
Let x be (-5)/8*(-2)/5. Let b(a) be the second derivative of -1/5*a**2 + 7/150*a**6 + 1/30*a**3 - 3*a + 0 + 19/100*a**5 + x*a**4. Let b(m) = 0. Calculate m.
-1, 2/7
Let q(p) be the third derivative of -p**6/780 - p**5/130 - p**4/78 + 6*p**2. Factor q(y).
-2*y*(y + 1)*(y + 2)/13
Let n(f) be the third derivative of f**7/210 + f**6/30 + 52*f**2. Factor n(d).
d**3*(d + 4)
Let l(u) be the first derivative of u**8/840 + u**7/840 - u**6/180 - u**5/120 + u**3 - 3. Let b(y) be the third derivative of l(y). Factor b(w).
w*(w - 1)*(w + 1)*(2*w + 1)
Let j(b) be the first derivative of 23/10*b**5 + 5*b**2 - 13/8*b**4 + 3 - 19/6*b**3 - 7/12*b**6 - 2*b. Solve j(t) = 0 for t.
-1, 2/7, 1, 2
Let u be 10/(-55) - (387/231 + -2). Let 8/7*w - u*w**2 - 16/7 = 0. Calculate w.
4
Suppose 7*w - 13 - 1 = 0. Let a(q) be the first derivative of -3 - 1/12*q**4 - 2*q**w + 2/3*q**3 + 8/3*q. Solve a(b) = 0.
2
Let a(o) = 2 + 3*o + o**3 + 0 - 4 - 5*o. Let n be a(-2). Let w(k) = -6*k**4 + 5*k**3 + k + 6. Let z(c) = c**3 - c**2 - 1. Let q(f) = n*z(f) - w(f). Factor q(g).
g*(g - 1)*(2*g - 1)*(3*g - 1)
Let z(i) be the third derivative of i**7/105 - i**6/15 + i**5/5 - i**4/3 + i**3/3 + 2*i**2. Suppose z(t) = 0. What is t?
1
What is r in 7*r**3 - 2*r**4 - 4*r**3 + 2 + 4*r - 7*r**3 = 0?
-1, 1
Suppose 76 = 38*q - 0*q. What is x in -1/2 - x - 1/2*x**q = 0?
-1
Let g(x) be the second derivative of -5*x**4/6 - 11*x**2/2 - 4*x. Let u(c) = -c**2 - 1. Let t(b) = 2*g(b) - 22*u(b). Solve t(y) = 0 for y.
0
Let g(u) = u**3 + 2*u**2 - 4*u - 1. Let a be g(-3). Factor -n**2 + a*n - n - 2*n.
-n*(n + 1)
Let x(y) be the second derivative of -1/90*y**5 - y - 5/54*y**4 + 0 - 4/9*y**2 - 8/27*y**3. Factor x(k).
-2*(k + 1)*(k + 2)**2/9
Let j(l) be the second derivative of l**5/150 - l**4/30 + l**3/15 - l**2/15 - 13*l. Factor j(k).
2*(k - 1)**3/15
Let o = -493 + 496. Factor 0 + 2/3*f**o + 2/3*f + 4/3*f**2.
2*f*(f + 1)**2/3
Let d(s) be the third derivative of -1/96*s**4 + 0*s**3 + 1/240*s**5 + 0 + s**2 + 0*s. Let d(l) = 0. What is l?
0, 1
Let d be ((-7)/(-56))/(1/2). Solve -d*q**2 + 1/4*q + 1/2 = 0 for q.
-1, 2
Let m = 4 + -1. Suppose -2 - m = -t. Factor -2/3*b**t + 0 + 2/3*b**3 + 2/3*b**4 - 2/3*b**2 + 0*b.
-2*b**2*(b - 1)**2*(b + 1)/3
Let n be (-64)/48*(1 - 39/12). Suppose 12/5*x**2 + 0 + 0*x + 24/5*x**n + 9/5*x**4 = 0. Calculate x.
-2, -2/3, 0
Factor -2/3*b - 4/3 + 2/3*b**2.
2*(b - 2)*(b + 1)/3
Factor 8*a**4 - 7*a**2 + 3*a**2 - 6*a**3 + 16*a**4 - 14*a**5.
-2*a**2*(a - 1)**2*(7*a + 2)
Let k(o) = o. Let l(y) = -2*y**4 - 4*y**3 - 4*y. Let m(n) = 4*k(n) + l(n). Factor m(i).
-2*i**3*(i + 2)
Factor 121/3 - 22/3*f + 1/3*f**2.
(f - 11)**2/3
Let l(m) = 9*m**5 - 3*m**4 - 5*m**3 + 5*m**2 - 5. Let h(n) = 5*n**5 - n**4 - 3*n**3 + 3*n**2 - 3. Let b(v) = -5*h(v) + 3*l(v). Factor b(i).
2*i**4*(i - 2)
Let x be (-16)/(-56)*(-21)/(-20). Let w(v) be the first derivative of 1/3*v - 7/6*v**3 - x*v**5 + 25/24*v**4 + 1 + 1/4*v**2. Suppose w(a) = 0. What is a?
-2/9, 1
Suppose 0 = 3*m - 3*g, 2 = 4*m - 0*g - 2*g. Let d(l) be the first derivative of 0*l - 3/20*l**4 + m + 0*l**3 + 3/10*l**2. Solve d(j) = 0 for j.