= 0?
-1, 0, 2/3
Let r(x) be the second derivative of x**7/42 + x**6/15 - x**4/6 - x**3/6 + 7*x. Determine d so that r(d) = 0.
-1, 0, 1
What is l in l**2 + 1 + 4*l - 2*l - 4*l = 0?
1
Let a(h) = 3*h**2 + 6*h - 9. Let o(y) = -1. Suppose 5*u - 8 = -3*i, -3*u = 8*i - 4*i - 7. Let c(d) = u*a(d) - 9*o(d). Solve c(f) = 0.
-2, 0
Let g = -1 - 5. Let w = 9 + g. Factor 0 - 4/3*z**2 - 1/3*z**w - 4/3*z.
-z*(z + 2)**2/3
Let w(g) be the second derivative of -5/6*g**4 - 3/10*g**5 - 2*g + g**2 + 0 - 1/3*g**3. Factor w(m).
-2*(m + 1)**2*(3*m - 1)
Let w(c) be the first derivative of 2*c**6/15 + 7*c**5/10 + c**4/2 - 8*c**3/3 - 4*c**2 - 2*c + 4. Let q(f) be the first derivative of w(f). Factor q(u).
2*(u - 1)*(u + 2)**2*(2*u + 1)
Suppose 7*w = -7*w + 70. Factor 0 + 1/3*t**w + 0*t - 1/3*t**4 - 1/3*t**3 + 1/3*t**2.
t**2*(t - 1)**2*(t + 1)/3
Find f such that -3*f**4 + 149*f**3 - 149*f**3 + 9*f**2 + 6*f = 0.
-1, 0, 2
Determine t, given that -4*t**3 + 4/7*t**4 - 4/7*t**2 + 4*t + 0 = 0.
-1, 0, 1, 7
Let g be (-16)/24 - (-76)/6. Solve -4*y**2 + 2*y**2 - g*y**3 + 6*y - 2*y**4 - 2 + 3*y**2 + 3*y**2 + 6*y**5 = 0 for y.
-1, 1/3, 1
Determine d so that -6/11 + 2/11*d**2 + 4/11*d = 0.
-3, 1
Let r(n) = n**3 - 8*n**2 + 14*n + 5. Let g be r(5). Let p(o) be the second derivative of o + g*o**2 - 1/66*o**4 + 0*o**3 + 0. Factor p(w).
-2*w**2/11
Let h = 2176/3759 - 4/537. Determine u, given that 4/7*u + 0 - 2/7*u**4 - h*u**3 + 2/7*u**2 = 0.
-2, -1, 0, 1
Factor -24 - 4*q + 10*q + 2*q**2 - 14*q.
2*(q - 6)*(q + 2)
What is j in 1/2*j**4 + 0 - j**2 + 1/2*j**3 + 0*j = 0?
-2, 0, 1
Suppose 2*o - o - 5 = 0. Let j(m) = 3*m + 3. Let f be j(0). Factor y**3 + 5*y**4 + 5*y**3 - o*y**4 - 3*y**4 - f*y**2.
-3*y**2*(y - 1)**2
Find j, given that -4/19*j**2 - 2/19 + 6/19*j = 0.
1/2, 1
Let g be (-5 - 23/(-4)) + 26/8. Let d(w) be the third derivative of 0 + 1/12*w**3 + 0*w - 1/120*w**5 + 5/96*w**g + w**2 - 1/96*w**6. Factor d(m).
-(m - 1)*(m + 1)*(5*m + 2)/4
Factor 33/5*a**2 + 1331/5 - 1/5*a**3 - 363/5*a.
-(a - 11)**3/5
Let l(u) be the first derivative of u**3/15 - u**2/5 - 8. Let l(b) = 0. What is b?
0, 2
Factor -10 + 0 + 901*k - 916*k - 8 - 3*k**2.
-3*(k + 2)*(k + 3)
Let l(o) be the first derivative of 16*o**6/3 + 8*o**5/5 - 6*o**4 + 2*o**3/3 + o**2 + 9. Find x, given that l(x) = 0.
-1, -1/4, 0, 1/2
Let d = 40 - 25. Suppose 4*p + 5*c = d, 2*c - 5 - 1 = 0. Suppose 2/3*k**3 + 0 + p*k + 2/3*k**2 = 0. Calculate k.
-1, 0
Let n be -6*1/(-5)*(-9)/(-27). Solve -n*m**3 - 6/5*m**2 - 2/5 - 6/5*m = 0.
-1
Let d(c) be the third derivative of -c**8/10080 + c**7/2016 - c**6/1440 + c**5/30 - 7*c**2. Let p(r) be the third derivative of d(r). Solve p(b) = 0 for b.
1/4, 1
Let r = -12 + -8. Let i = -39/2 - r. Solve i*g + 0 - 1/2*g**2 = 0.
0, 1
What is o in 3*o**4 - 5*o**2 - 63 + 2*o**2 + 63 = 0?
-1, 0, 1
Let g(w) be the third derivative of -w**5/90 + w**3/9 - 3*w**2. Solve g(j) = 0.
-1, 1
Let j(z) be the second derivative of z**7/280 - z**6/48 + z**5/20 + z**4/4 + 4*z. Let d(w) be the third derivative of j(w). Determine r so that d(r) = 0.
2/3, 1
Let v(l) = 6*l**4 + 41*l**3 + 43*l**2 - 41*l - 49. Let f(p) = -3*p**4 - 20*p**3 - 22*p**2 + 20*p + 25. Let r(b) = -5*f(b) - 2*v(b). Factor r(s).
3*(s - 1)*(s + 1)*(s + 3)**2
Let p(w) be the first derivative of w**4/8 - w**3/6 - w**2/4 + w/2 + 2. What is t in p(t) = 0?
-1, 1
Find t such that -9*t + 8 + 11 + 13 - 7*t + 2*t**2 = 0.
4
Determine n so that -14*n**2 - 12 - 6*n**2 - 5*n**2 - 72*n - 8*n**2 = 0.
-2, -2/11
Let t(l) = -l**3 + l**2 - 1. Let h(r) = 5*r**4 + 5*r**3 - 10*r**2 + 10. Let q(d) = h(d) + 10*t(d). Factor q(j).
5*j**3*(j - 1)
Let a(b) be the second derivative of b**9/52920 - b**8/11760 + b**7/8820 - b**4/4 + 3*b. Let c(j) be the third derivative of a(j). Factor c(k).
2*k**2*(k - 1)**2/7
Factor 2*t - t + 0*t**3 - t**3.
-t*(t - 1)*(t + 1)
Let n(d) = d**4 + d**2 - d + 1. Let j(q) = 6*q**4 - q**3 + 10*q**2 - 2*q + 9. Let o(i) = 3*j(i) - 21*n(i). Solve o(r) = 0 for r.
-1, 2
Suppose c - 4*c = -2*d - 4, 4*d - 3*c + 2 = 0. Factor 16*g + 6*g**2 + d + 0*g + 7.
2*(g + 2)*(3*g + 2)
Let v(c) be the third derivative of c**7/840 + c**6/120 + c**5/48 + c**4/48 + 34*c**2. Factor v(i).
i*(i + 1)**2*(i + 2)/4
Let w be 95/120 - (-3)/(-24). Let -2*x**2 + w + 3*x**3 - 5/3*x = 0. What is x?
-2/3, 1/3, 1
Let j be (6/(-5))/((-6)/15). Suppose j*b - 17 = -5*u + 4, 12 = 3*b + 2*u. Factor -18/5*d**b + 2*d + 14/5*d**3 - 4/5*d**4 - 2/5.
-2*(d - 1)**3*(2*d - 1)/5
Let k(f) be the third derivative of 1/360*f**6 + 0*f**4 + f**2 + 0*f + 0*f**3 + 1/180*f**5 + 0. Factor k(r).
r**2*(r + 1)/3
Suppose j - 115 = -4*j. Determine t, given that 17*t**3 + 3*t**4 - j*t**3 + 0*t**2 + 3*t**2 = 0.
0, 1
Let b(p) be the first derivative of -p**6/39 + 28*p**5/65 - 73*p**4/26 + 344*p**3/39 - 176*p**2/13 + 128*p/13 - 7. Determine s so that b(s) = 0.
1, 4
Let c = -100/99 + 16/11. Determine a, given that 2/9*a**2 - c*a + 2/9 = 0.
1
Suppose 0 = -3*m + 12. What is u in -2 + 31*u - 31*u + m*u**2 - 2*u**4 = 0?
-1, 1
Let o(g) be the first derivative of -g**3/3 - 5. Factor o(y).
-y**2
Determine j, given that -4*j**4 - 68*j**3 - 54*j**2 + 168*j - 424*j - 266*j**2 = 0.
-8, -1, 0
Let y(a) be the second derivative of 3*a**5/10 + a**4/4 - 2*a**3 - 9*a**2/2 + 12*a. Factor y(v).
3*(v + 1)**2*(2*v - 3)
Let l be 104/14 - (1 + 3). Factor -l*w**3 - 2/7 + 8/7*w - 18/7*w**4 + 4/7*w**2.
-2*(w + 1)**2*(3*w - 1)**2/7
Suppose -q = -3*q. Let s = 10 - 29/3. Determine p, given that s*p + q + 1/3*p**2 = 0.
-1, 0
Let q(h) be the second derivative of h**8/3360 + h**7/1260 - h**6/360 - h**5/60 - h**4/6 - 4*h. Let i(o) be the third derivative of q(o). Factor i(a).
2*(a - 1)*(a + 1)**2
Let s(c) = c**4 - c**3 + c + 1. Let f(v) = -v**5 - 8*v**4 + 2*v**2 + v - 2. Let m(o) = -f(o) - 4*s(o). Factor m(k).
(k - 1)*(k + 1)**3*(k + 2)
Factor 51*b**3 - 101*b**3 - b**5 + 51*b**3.
-b**3*(b - 1)*(b + 1)
Let y(h) be the third derivative of -h**6/900 + h**5/300 + h**4/30 + h**3/6 - h**2. Let w(r) be the first derivative of y(r). What is i in w(i) = 0?
-1, 2
Find n, given that 4*n**4 - n**3 - 3*n**4 - 4 + 4 = 0.
0, 1
Let l be -2 - ((-217)/(-15))/(-7). Let s(d) be the first derivative of l*d**3 - 1/25*d**5 - 1/10*d**2 + 0*d - 1 + 1/20*d**4. Factor s(b).
-b*(b - 1)**2*(b + 1)/5
Let f be 189/36 - 2/8. Let s be (-4)/(-10)*f/10. Find d such that 4/5 + 4/5*d + s*d**2 = 0.
-2
Let j = 123 - 245/2. Determine b so that 0 - 1/2*b**4 + 1/2*b**5 + 1/2*b**2 + 0*b - j*b**3 = 0.
-1, 0, 1
Determine j so that -6*j**5 - 12*j**3 - 15*j**4 - 3*j**2 - 34 + 34 = 0.
-1, -1/2, 0
Let h(w) = -w**3 + 4*w**2 - w + 5. Let f be h(4). Factor 3*x**5 + 9*x**2 + 3*x**3 - 6*x - 9*x**4 - 2 + 3 - f.
3*x*(x - 2)*(x - 1)**2*(x + 1)
Factor -32*n**3 + 56/3*n**4 + 0 + 32/3*n - 10/3*n**5 + 32/3*n**2.
-2*n*(n - 2)**3*(5*n + 2)/3
Let n(j) be the second derivative of -j**5/50 + j**4/30 + j**3/15 - j**2/5 - j. Let n(x) = 0. What is x?
-1, 1
Solve -6*k - k + 8 + 4*k**3 + k - 6*k = 0 for k.
-2, 1
Factor -4*g - 12/5*g**3 - 24/5*g**2 - 2/5*g**4 - 6/5.
-2*(g + 1)**3*(g + 3)/5
Factor 27/7*q**2 + 81/7 + 81/7*q + 3/7*q**3.
3*(q + 3)**3/7
Let b(s) be the third derivative of 1/40*s**6 + 0*s + 3*s**2 + 0 + 0*s**4 + 0*s**3 + 1/20*s**5. Let b(w) = 0. What is w?
-1, 0
Let i(v) = -v**2 - 3*v + 2. Let s be i(-4). Let q be (2/(-5))/(s/10). Determine n so that -1/4 - n - 3/2*n**q - n**3 - 1/4*n**4 = 0.
-1
Let i = -278/21 - -102/7. Suppose i*q + 2/3*q**2 + 2/3 = 0. Calculate q.
-1
Let t be 8/60 + 2/(-90). Let z(l) be the second derivative of -t*l**3 - 1/18*l**4 + 4*l + 2/3*l**2 + 0. Factor z(o).
-2*(o - 1)*(o + 2)/3
Let r(x) be the third derivative of x**7/420 - x**6/240 - x**5/120 + x**4/48 + 8*x**2. Factor r(h).
h*(h - 1)**2*(h + 1)/2
Let z(k) be the first derivative of -1/4*k + 1 + 1/12*k**3 + 0*k**2. Factor z(l).
(l - 1)*(l + 1)/4
Let s(d) = 2*d**2 + 4*d + 3. Let m be s(-2). Suppose 11 = g - m*q, -16 - 1 = -g + 5*q. Factor 19*x**5 + x**3 - 25*x**5 + g*x**4 + 3*x**3.
-2*x**3*(x - 1)*(3*x + 2)
Let p(g) = -2*g + 1. Let o(w) = 6*w - 4. Let b(h) = 6*o(h) + 17*p(h). Let k be b(5). What is x in x**4 - 6*x**k + 4*x - 2 + 2*x**3 + x**4 = 0?
-1, 1
Let l be 24/(-15) - (2/(-1) + 0). Factor -4/5*g**2 + 2/5*g + 0 + l*g**3.
2*g*(g - 1)**2/5
Let x be -3 - 31/(-10) - 0. Let f(d) be the second derivative of -x*d**4 - 2/15*d**3 - 7/75*d**6 + d + 0 + 0*d