 = 0.
0, 2/5, 1
Suppose -11*j = -10*j - 3. Let v(g) be the third derivative of 4*g**2 - 1/24*g**4 + 1/45*g**5 - 1/18*g**j + 0 + 0*g. Factor v(x).
(x - 1)*(4*x + 1)/3
What is n in 96/7 - 2/7*n**4 + 6/7*n**2 + 16*n - 12/7*n**3 = 0?
-4, -1, 3
Let c(w) be the third derivative of w**6/180 + w**5/45 + w**4/36 + 19*w**2. Factor c(b).
2*b*(b + 1)**2/3
Suppose 3*u**5 + 112*u**4 + 18*u**2 + 15*u + 3 + 30*u**3 + 12*u**2 - 97*u**4 = 0. Calculate u.
-1
Suppose 4/3 - 4*r + 1/3*r**2 + 4*r**3 - 5/3*r**4 = 0. Calculate r.
-1, 2/5, 1, 2
Factor -21*g**2 - 160*g**3 + 55*g**2 + 50*g**4 + 128*g + 14*g**2 + 32.
2*(g - 2)**2*(5*g + 2)**2
Suppose 3*h = -5*k - 14, h + 5*k - 2*k = -10. What is g in -6/11*g**3 + 0 - 2/11*g**5 + 8/11*g + 8/11*g**h - 8/11*g**4 = 0?
-2, -1, 0, 1
Determine q, given that 6*q**2 + 10*q**2 + 4*q + q**4 - 17*q**4 + 0*q - 4*q**3 = 0.
-1, -1/4, 0, 1
Let u(z) be the third derivative of z**6/200 + 11*z**5/300 + z**4/15 - 2*z**3/15 + 2*z**2. Solve u(t) = 0 for t.
-2, 1/3
Let h = 11 + -15. Let v be (-28)/(-40) - h/(-8). Let -2/5*d**4 + 0 + 0*d**2 - 1/5*d**3 - v*d**5 + 0*d = 0. What is d?
-1, 0
Let y(u) be the third derivative of -u**7/1155 + u**6/660 + 8*u**2. Factor y(m).
-2*m**3*(m - 1)/11
Let p(t) be the second derivative of -t**8/168 + t**7/105 + t**6/60 - t**5/30 - 3*t**2 + 3*t. Let q(r) be the first derivative of p(r). Factor q(b).
-2*b**2*(b - 1)**2*(b + 1)
Let i(d) be the third derivative of 1/24*d**4 - 1/60*d**5 + 3*d**2 + 0*d + 0 + 0*d**3. Solve i(v) = 0 for v.
0, 1
Let q = -9 + 11. Let x be q + 6/(-3) - -4. Factor 1 - 1 - 7*s - 3*s**3 - 6*s**2 + x*s.
-3*s*(s + 1)**2
Let h(z) be the first derivative of 4*z**7/105 - 7*z**6/60 + z**5/15 + z**4/12 - z**2/2 - 1. Let j(q) be the second derivative of h(q). Factor j(o).
2*o*(o - 1)**2*(4*o + 1)
Let o be 2 - -8*(4 + (-25)/6). Let i(y) be the second derivative of 11/6*y**4 + 0*y**2 + 5/12*y**6 - 2*y + 0 + 7/4*y**5 + o*y**3. Solve i(z) = 0.
-2, -2/5, 0
Let g(j) be the second derivative of -j**5/70 - j**4/42 + j**3/21 + j**2/7 + 2*j. Factor g(c).
-2*(c - 1)*(c + 1)**2/7
Let d(c) be the third derivative of -c**5/60 - c**4/24 + c**3 - 29*c**2. Factor d(q).
-(q - 2)*(q + 3)
Factor -3*l**2 - 4*l - 7*l + 8*l + 2*l**2.
-l*(l + 3)
Suppose 0 = 5*l + t - 2*t - 139, 5*l + 4*t - 119 = 0. Let a = l - 25. What is o in -2*o**a + 4/5 - 6/5*o = 0?
-1, 2/5
Let u be 8/4*5/4. Let f(v) be the first derivative of 4/3*v**6 + 2*v**3 - u*v**4 + 2 + 0*v - 6/5*v**5 + v**2. Determine l so that f(l) = 0.
-1, -1/4, 0, 1
Let o = -160/9 + 166/9. Factor -o*u + 2/3*u**2 + 0 + 2/3*u**3 - 2/3*u**4.
-2*u*(u - 1)**2*(u + 1)/3
Let o(i) be the third derivative of -i**7/70 - 3*i**6/40 - i**5/20 + 3*i**4/8 + i**3 + 5*i**2. Factor o(n).
-3*(n - 1)*(n + 1)**2*(n + 2)
Let f(s) be the first derivative of -3*s**5/80 + s**4/8 - s**3/8 + 4*s - 7. Let p(i) be the first derivative of f(i). Factor p(z).
-3*z*(z - 1)**2/4
Let s(j) be the first derivative of 1/12*j**4 + 0*j + 3/2*j**2 + 2 + 0*j**3 - 1/30*j**5. Let k(w) be the second derivative of s(w). Factor k(m).
-2*m*(m - 1)
Let a(c) be the first derivative of 3*c**4/16 - c**3/12 - 3*c**2/8 + c/4 + 7. Suppose a(r) = 0. Calculate r.
-1, 1/3, 1
Let c(r) be the first derivative of -5 + 3*r**4 + 3*r - 9/2*r**2 + 0*r**3. Determine h, given that c(h) = 0.
-1, 1/2
Let c(x) = x**2 + 6*x + 1. Let h(j) = -3*j - 4*j**2 + 2*j**2 - 2 + 0*j - 10*j. Let i(f) = -9*c(f) - 4*h(f). Factor i(a).
-(a + 1)**2
Let b(z) = -z - 2. Let r be b(-3). Let k = 3 + r. Suppose -k + 3*q - 5*q + 4*q + 2*q**2 = 0. What is q?
-2, 1
Suppose 0 = i - 2*i + 2. Factor 8*x - 19*x**i - 2*x - 2*x**2.
-3*x*(7*x - 2)
Let n(p) be the third derivative of 0 - 2*p**2 + 0*p**4 + 1/60*p**6 + 0*p**3 - 1/60*p**5 - 1/210*p**7 + 0*p. Let n(a) = 0. What is a?
0, 1
Let w(m) be the third derivative of 0*m**3 - 11/60*m**5 + 0 - 1/12*m**4 + 0*m - m**2 - 7/60*m**6. Let w(y) = 0. Calculate y.
-1/2, -2/7, 0
Suppose -4*x = -6*x + 4, 0 = 4*h - 4*x. Let y(d) be the third derivative of 0*d - d**h - 1/120*d**6 + 1/20*d**5 + 1/6*d**3 + 0 - 1/8*d**4. Factor y(r).
-(r - 1)**3
Let k(x) be the third derivative of x**8/840 - x**7/525 - x**6/150 - 10*x**2. Solve k(d) = 0.
-1, 0, 2
Let a(h) = -h. Suppose -3*o + 6*o + 6 = 0. Let f be a(o). Suppose 2*z**4 - 2*z**4 + z**4 + f*z**2 + 2*z**3 - z**2 = 0. What is z?
-1, 0
Let v(i) be the first derivative of -3/26*i**4 + 0*i + 2/65*i**5 + 4/39*i**3 + 0*i**2 + 1. Solve v(c) = 0 for c.
0, 1, 2
Let a be 2/(-5)*(-10)/18. Let c = 13 + -11. Factor a*v + 0 - 2/9*v**c.
-2*v*(v - 1)/9
Let t be (-10)/9 + -1 + 3. Let b = 135 + -1207/9. Factor b + t*x + 2/9*x**2.
2*(x + 2)**2/9
Factor 2/3*t - 1/3 - 1/3*t**2.
-(t - 1)**2/3
Let u be (-8)/(-2) - (22 - 21). Suppose 2/9*d + 0 - 2/9*d**5 + 0*d**u - 4/9*d**4 + 4/9*d**2 = 0. Calculate d.
-1, 0, 1
Suppose 31*j = 37*j - 12. Factor 2/7 + 2/7*x**j - 4/7*x.
2*(x - 1)**2/7
Let t = 146/3 + -48. Find l, given that -t*l**2 + 2/3 + 0*l = 0.
-1, 1
Let k = -12 - -24. Suppose -3*f + 4 = 2*y - 2*f, 5*y + 2*f = k. Find r, given that -r**3 - 2*r**4 - r**5 + 3*r**y + r**4 = 0.
0, 1
Factor 4*f**5 + 380*f + 4*f**2 - 4*f**3 - 380*f - 4*f**4.
4*f**2*(f - 1)**2*(f + 1)
Let m = 154 + -613/4. Find v, given that 1/2*v + m*v**2 + 1/4*v**3 + 0 = 0.
-2, -1, 0
Find s, given that -14*s - 17 - 3*s - 4*s**3 - 28*s**2 - 43*s - 19 = 0.
-3, -1
Factor -72*g - 1350*g**3 - 540*g**2 - 16/5.
-2*(15*g + 2)**3/5
Suppose -3*u + 4*t = 6, 4*u = -2*t + 6*t - 4. Let d**4 + 3*d**4 - 4*d + 12*d**u - 14*d**3 + 2*d**3 = 0. What is d?
0, 1
Let 17 - 17 + 4*g**5 + 4*g**3 - 8*g**4 = 0. What is g?
0, 1
Suppose 5*j + 3*v - 56 = 0, -j - 4*v + 7*v + 4 = 0. Suppose j = 5*o - 0*o. Factor -3/4*i + i**3 - 1/4 + 0*i**o.
(i - 1)*(2*i + 1)**2/4
Let r(m) be the first derivative of -1/2*m**6 - 3/5*m**5 + 3/4*m**4 + 0*m**2 + m**3 - 5 + 0*m. Factor r(i).
-3*i**2*(i - 1)*(i + 1)**2
Let n(g) be the first derivative of -g**8/2520 - g**7/210 - 13*g**6/540 - g**5/15 - g**4/9 + 2*g**3 + 6. Let z(y) be the third derivative of n(y). Factor z(m).
-2*(m + 1)**2*(m + 2)**2/3
Let t be 20/(-12) - (-3 - (-5 + 4)). Factor -t*g**2 - 1/3*g + 2/3.
-(g - 1)*(g + 2)/3
Let d = -5 + 3. Let f be d/(-4*(-2)/(-12)). Let -50*w**5 - 10*w - 8*w**f + 66*w**3 + 2*w = 0. What is w?
-1, -2/5, 0, 2/5, 1
Let o be ((-10)/(-15))/(110/(-414)). Let c = o + 32/11. Let -2/5 - c*k**5 + 4/5*k**3 - 2/5*k**4 + 4/5*k**2 - 2/5*k = 0. Calculate k.
-1, 1
Suppose 2*d = 3*d - 2. Suppose p**3 + 4*p**3 - p**4 - 3*p**d - 2*p**3 + 4*p - 3*p = 0. What is p?
0, 1
Let j(i) be the third derivative of -4*i**7/735 + i**6/70 + 8*i**5/105 + i**4/14 - 26*i**2 - 2*i. Find c, given that j(c) = 0.
-1, -1/2, 0, 3
Let z(n) be the second derivative of 0 + 0*n**2 + 10*n - 1/54*n**4 - 2/27*n**3. Factor z(l).
-2*l*(l + 2)/9
Let x = -4/191 - -1166/955. Factor 2/5*q + 0 - 6/5*q**2 - 2/5*q**4 + x*q**3.
-2*q*(q - 1)**3/5
Let a(g) be the first derivative of 25*g**3/3 + 15*g**2/2 + 2*g - 11. Factor a(v).
(5*v + 1)*(5*v + 2)
Find w, given that 4/3*w**2 + 2/3*w**3 + 0 + 2/3*w = 0.
-1, 0
Let c(u) = 15*u**2 - 63*u + 48. Let k(q) = -q**2 + 4*q - 3. Let r(o) = 2*c(o) + 33*k(o). Determine p, given that r(p) = 0.
1
Find g, given that 1/3*g**3 + 0*g**2 + 0 + 0*g = 0.
0
Let t(l) be the first derivative of 3/2*l**2 - 1/4*l**3 - 3*l - 5. Factor t(f).
-3*(f - 2)**2/4
Let u be (-8)/(-15) + -2*1/4. Let a(y) be the second derivative of 0 + 4*y - u*y**4 + 1/5*y**2 + 0*y**3. Solve a(j) = 0.
-1, 1
Let s(f) be the third derivative of 1/60*f**4 + 1/300*f**6 - 1/75*f**5 + 0 - 4*f**2 + 0*f**3 + 0*f. Factor s(j).
2*j*(j - 1)**2/5
Let g = 1555 + -522479/336. Let b(p) be the third derivative of 0*p + 1/60*p**5 - p**2 + 1/36*p**4 + 0*p**3 - 1/90*p**7 - g*p**8 + 0 - 1/120*p**6. Factor b(i).
-i*(i + 1)**3*(3*i - 2)/3
Let h(b) = -3*b**3 - 5*b**2 - 5*b. Let m(u) = u. Let g(d) = 4*h(d) + 12*m(d). Factor g(q).
-4*q*(q + 1)*(3*q + 2)
Let a = -2/837 + 841/1674. Factor -l + 1/2*l**2 + a.
(l - 1)**2/2
Let s = 379/38 - -10/19. Let f = s + -10. Solve 0 - 7/4*r**5 + 0*r**2 + f*r**3 + 5/4*r**4 + 0*r = 0.
-2/7, 0, 1
Let l(j) be the first derivative of -j**4/12 + j**3/6 + 2*j + 3. Let z(w) be the first derivative of l(w). Factor z(x).
-x*(x - 1)
Let g be (-564)/(-42) - 6/14. Let c = 15 - g. What is w in -3*w + c*w**5 + w**3 + 4*w**2 + 1/2 - 9/2*w**4 = 0?
-1, 1/4, 1
Let a(s) be the third 