*v**4 + 6*v**3 - 4*v**3 + 10*v**4 - 12*v**z = 0. What is v?
-2, 0
Let u = 19 + -16. Suppose 16 = -u*w + 22. Find m such that 0*m + 3/4*m**4 + 3/2*m**3 + 0 + 3/4*m**w = 0.
-1, 0
Let u(j) be the first derivative of 5*j**4/3 - 1048*j**3/9 - 322*j**2/3 + 424*j/3 + 186. Factor u(g).
4*(g - 53)*(g + 1)*(5*g - 2)/3
Let p(a) = a**2 + 8*a - 55. Let k be p(0). Let f = -55 - k. Factor 1/5*n**4 + 0*n**2 + f*n + 0 - 1/5*n**3.
n**3*(n - 1)/5
Let w(m) be the third derivative of m**6/30 - 4*m**5/3 + 77*m**4/6 + 484*m**3/3 - 145*m**2. Let w(x) = 0. Calculate x.
-2, 11
Let l(a) = a**2 + 63*a - 2200. Let h be l(25). Factor h - 6/5*s**3 + 0*s + 8/5*s**4 - 2/5*s**2.
2*s**2*(s - 1)*(4*s + 1)/5
Let u(t) be the second derivative of -t**4/12 - 20*t**3/3 - 200*t**2 + 7*t. Factor u(q).
-(q + 20)**2
Suppose -37*g + 71*g = 50*g. Let 20/3*v**3 + 23/3*v**4 + 4/3*v**2 + 0*v + 7/3*v**5 + g = 0. Calculate v.
-2, -1, -2/7, 0
Let g(m) be the second derivative of 0 - 2/57*m**3 - 15*m + 1/19*m**2 + 1/114*m**4. Factor g(w).
2*(w - 1)**2/19
Let x(d) be the third derivative of d**6/60 + 7*d**5/50 + d**4/15 + 42*d**2. Find a, given that x(a) = 0.
-4, -1/5, 0
Solve 22*p**3 - 46/5*p**4 + 6/5*p**5 + 16/5 + 4/5*p - 18*p**2 = 0.
-1/3, 1, 2, 4
Suppose -1275 + 1312 = -4*b - 5*k, -5*k = -2*b + 49. Suppose 0 + 3/2*p**3 + 0*p**b + 1/2*p**4 - 2*p = 0. Calculate p.
-2, 0, 1
Let m be 2/5 - ((-3)/5 + -1). Let w(f) = f**2 + 11*f. Let x be w(-11). Factor -2/13*h + x - 2/13*h**m.
-2*h*(h + 1)/13
Let j(w) be the third derivative of 0*w**5 + 0 + 0*w + 1/270*w**6 - 7*w**2 + 1/27*w**3 - 1/54*w**4 - 1/945*w**7. Factor j(m).
-2*(m - 1)**3*(m + 1)/9
Suppose 13 = 5*o - 7. Factor 0*b**3 + 4*b**3 - o*b**5 + 433*b - 433*b - 4*b**2 + 4*b**4.
-4*b**2*(b - 1)**2*(b + 1)
Let p be ((-21)/28)/(6/(-16)). Suppose 3*z - 35 = -p*z. Suppose 4*i**3 - 4*i**2 + 2 - 3*i - z*i**3 + 4*i = 0. Calculate i.
-1, 2/3
Let t(h) be the first derivative of 4/5*h**2 + 12/5*h - 1/20*h**4 + 6 - 1/15*h**3. Let t(x) = 0. Calculate x.
-2, 3
Factor 0 - 117/7*w - 3/7*w**2.
-3*w*(w + 39)/7
Let t(w) = w**3 - w**2 + 1. Let u(j) = -8*j**3 - 26*j**2 - 32*j - 7. Let o(i) = 21*t(i) + 3*u(i). Factor o(r).
-3*r*(r + 1)*(r + 32)
Suppose 18*c = 14*c + 128. Factor 48*k + c + 14*k**4 + 24*k**4 - 12*k**3 - 36*k**4 + 2*k**2.
2*(k - 4)**2*(k + 1)**2
Let p be (-2 - -3) + 12 + -2. Let h(y) = -2*y**2 + 25*y - 2. Let t be h(12). Determine x so that 55*x + 31*x - 120*x**2 - 80*x**3 - t - p*x = 0.
-2, 1/4
Factor 13/6*k**2 + 2/3 - 2*k - k**3 + 1/6*k**4.
(k - 2)**2*(k - 1)**2/6
Let l(k) be the first derivative of k**3 + 21*k**2/2 + 18*k - 260. Let l(j) = 0. What is j?
-6, -1
Let c(u) be the first derivative of u**3 - 195*u**2/4 - 99*u/2 - 220. Factor c(p).
3*(p - 33)*(2*p + 1)/2
Let k(d) = -d**4 + 13*d**3 - 7*d**2 - 21*d + 11. Let j(p) = 2*p**4 - 14*p**3 + 6*p**2 + 22*p - 10. Let u(o) = -5*j(o) - 6*k(o). Find z such that u(z) = 0.
-2, 1
Let l = 9 - 7. Factor -k**2 + 34*k + 6*k**l - 3 + 28 - 4*k.
5*(k + 1)*(k + 5)
Suppose 0 = -v - 5*b - 20, 4*v - 40 = v + 5*b. Factor 58*t**2 + v - 3*t**3 - 6*t - 49*t**2 - 5.
-3*t*(t - 2)*(t - 1)
Suppose 0 = 48*r - 34*r. Let m(w) be the third derivative of 0*w + r + 1/78*w**4 - 1/390*w**5 - 1/780*w**6 + 0*w**3 - 4*w**2. Factor m(a).
-2*a*(a - 1)*(a + 2)/13
Let x(h) be the first derivative of 2*h**3/21 + 18*h**2/7 + 34*h/7 + 113. What is r in x(r) = 0?
-17, -1
What is u in 29/3*u**2 + 0 + 3*u**3 + 2*u = 0?
-3, -2/9, 0
Suppose -8*q + 3*q + 950 = 0. Suppose 22*c = 17*c + q. Factor 7*s**3 - 3*s**2 + 38 - 4*s**3 - c.
3*s**2*(s - 1)
Let k(g) = 5*g**4 - 12*g**3 - 3*g**2 - g - 5. Let v(u) = 5*u**4 - 13*u**3 - 2*u**2 - 2*u - 6. Let a be ((-18)/4)/(6/8). Let x(q) = a*k(q) + 5*v(q). Factor x(d).
-d*(d - 2)*(d + 1)*(5*d - 2)
Let d be (2/1)/6*0. Let k = 5 - d. Find h, given that -5*h**4 - 2 + 3*h**2 + 7*h**2 - 3*h**2 + 3*h**3 + k*h - 8*h = 0.
-1, -2/5, 1
Let f(l) be the second derivative of -l + 0*l**2 - 1/16*l**5 - 5/24*l**3 + 0 - 5/24*l**4. Factor f(r).
-5*r*(r + 1)**2/4
Let t(k) be the second derivative of -k**5/4 - 355*k**4/6 - 4080*k**3 + 25920*k**2 - k + 376. Factor t(x).
-5*(x - 2)*(x + 72)**2
What is w in 3/7*w - 15/7*w**2 + 12/7 = 0?
-4/5, 1
Suppose -8*i + 14*i + 48 = 0. Let z(m) = 2*m + 16. Let a be z(i). Factor a*x - 1/4*x**2 + 1/4.
-(x - 1)*(x + 1)/4
What is s in 2/3*s**2 + 0 + 2*s = 0?
-3, 0
Let o = -4011 + 4014. Factor 1/2*i**o + 0*i + 0 - 1/2*i**5 + 0*i**2 + 0*i**4.
-i**3*(i - 1)*(i + 1)/2
Let v(g) be the third derivative of 1/270*g**5 + 10*g**2 + 0 + 0*g**3 + 0*g - 1/108*g**4. Let v(z) = 0. Calculate z.
0, 1
Let m(q) be the second derivative of 1/50*q**5 + 0 + 55*q - 4/15*q**3 - 1/30*q**4 + 4/5*q**2. Suppose m(v) = 0. What is v?
-2, 1, 2
Let r(d) be the first derivative of d**5/20 - 5*d**4/8 + 37*d**3/12 - 15*d**2/2 + 9*d + 797. Let r(y) = 0. Calculate y.
2, 3
Let x(y) be the first derivative of -y**5 + 15*y**4 + 110*y**3/3 - 990*y**2 - 2025*y + 365. Solve x(u) = 0.
-5, -1, 9
Let 27/2*s - 1/2*s**2 - 13 = 0. What is s?
1, 26
Let d(v) be the first derivative of 2/33*v**3 + 0*v - 5/11*v**2 + 13. Solve d(q) = 0.
0, 5
Let r be 4/(-10) - 140/(-350). Let w(t) be the first derivative of 8/9*t**3 - 1/4*t**4 + 6 - 2/3*t**2 + r*t. Factor w(q).
-q*(q - 2)*(3*q - 2)/3
Let z(a) = -8*a - 3*a**2 + 10*a - 8 + 18*a. Let c be z(6). Find k, given that 1/3*k**3 + 1/6*k**5 + 0 + 0*k**2 + 0*k - 1/2*k**c = 0.
0, 1, 2
Factor -12 - 1 - 209*n + 197*n + 3 - 2*n**2.
-2*(n + 1)*(n + 5)
Let q(f) be the second derivative of -f**6/240 - f**5/32 - f**4/96 + 7*f**3/16 + 9*f**2/8 + 2*f + 8. Factor q(z).
-(z - 2)*(z + 1)*(z + 3)**2/8
Let h(q) be the third derivative of 0*q + 0 - 1/180*q**5 - 7/144*q**4 - 6*q**2 - 1/18*q**3 + 1/240*q**6. Solve h(d) = 0.
-1, -1/3, 2
Let l(h) be the first derivative of 0*h - 1/1980*h**6 + 11/3*h**3 + 0*h**2 - 4 - 4/33*h**4 + 2/165*h**5. Let k(n) be the third derivative of l(n). Factor k(f).
-2*(f - 4)**2/11
Let g(s) be the first derivative of s**5/5 + 11*s**4/4 + 19*s**3/3 + 9*s**2/2 - 46. Solve g(u) = 0 for u.
-9, -1, 0
Let b(c) be the third derivative of c**7/840 + c**6/80 + c**5/20 + 5*c**4/48 + c**3/8 + 802*c**2. Let b(h) = 0. What is h?
-3, -1
Factor -28*z**2 - 14*z**3 - 20*z**3 - 36 + 46*z**3 + 68*z + 66*z**2 + 78*z**2.
4*(z + 1)*(z + 9)*(3*z - 1)
Let u be 1*3/(-33)*(-8)/24. Let h(y) be the second derivative of u*y**3 - 4*y + 0 + 0*y**2 - 1/66*y**4. Factor h(c).
-2*c*(c - 1)/11
Let a(w) = -8*w**3 + 11*w**3 + 8 - 6*w - 4*w - 5*w**3. Let j(f) = -3*f**3 - 11*f + 9. Let v(c) = -5*a(c) + 4*j(c). Determine l, given that v(l) = 0.
-2, 1
Let w(m) be the first derivative of 0*m**2 + 4/3*m**3 - 1/3*m**4 - 9 + 8*m. Let t(g) be the first derivative of w(g). Determine f so that t(f) = 0.
0, 2
Let r(d) be the first derivative of 0*d**2 + 8 + 0*d + 1/2*d**4 + 0*d**3. Solve r(u) = 0.
0
Suppose -47 = 99*d - 344. Solve 2/11*y**4 + 16/11*y - 8/11*y**2 + 0 - 4/11*y**d = 0 for y.
-2, 0, 2
Let b(p) be the third derivative of -p**8/2240 - p**7/210 - p**6/60 + 17*p**5/60 + 14*p**2. Let g(s) be the third derivative of b(s). Factor g(h).
-3*(h + 2)*(3*h + 2)
Let d(x) = 3*x. Let m be d(1). Let r = 55/34 - -49/17. Factor -t**2 + 1 - 9/2*t**m + r*t.
-(t - 1)*(t + 1)*(9*t + 2)/2
Let x(d) be the first derivative of 3*d**5/5 - 7*d**4/4 + 5*d**3/3 - d**2/2 + 328. Determine f so that x(f) = 0.
0, 1/3, 1
Factor -3200/7 + 160/7*m - 2/7*m**2.
-2*(m - 40)**2/7
Let q(c) = 4*c**2 - 32*c - 78. Let v(j) = -5*j**2 + 30*j + 77. Let h(o) = 6*q(o) + 4*v(o). Factor h(y).
4*(y - 20)*(y + 2)
Let n = 14 + -10. Let 7*g - n - 2*g**2 + 6*g - 7*g = 0. Calculate g.
1, 2
Let d = 980 - 977. Determine c so that -1/4*c**4 + 1/2*c - 3/4*c**d + 0 + 1/4*c**2 + 1/4*c**5 = 0.
-1, 0, 1, 2
Suppose 5 = -y - 2*w - 0, -4*w - 15 = y. Suppose -y*x + 35 = 5*f, -4*x + 12 = -0*f - 4*f. Let 4 + 22*m - 12*m + 0*m**3 + 2*m**3 + 8*m**f = 0. Calculate m.
-2, -1
Solve -78 + 96 + 69*x + 7*x**4 + 2*x**4 + 93*x**2 + 51*x**3 = 0.
-3, -1, -2/3
Factor 12/19 - 2/19*q**2 - 2/19*q.
-2*(q - 2)*(q + 3)/19
Find n such that 1/5*n**3 + 121/5*n + 0 + 22/5*n**2 = 0.
-11, 0
Let v(u) be the third derivative of -u**2 + 1/9*u**4 + 1/9*u**3 + 0 + 0*u + 1/90*u**6 + 1/18*u**5. What is q in v(q) = 0?
-1, -1/2
Let o = 19 - 10. Let d = o - 6. Determine v so that -14*v**3 + d*v**3 - 23*v**2 - 4*v**3 - v**2 + 12*v = 0.
-2, 0, 2/5
Let n