etermine v so that 8/21*v**4 + 2/7*v - 4/21*v**3 - m*v**5 - 8/21*v**2 + 0 = 0.
-1, 0, 1, 3
Let s(v) be the first derivative of -5*v**4 + 8*v + 4/5*v**5 + 12*v**3 - 14*v**2 + 2. Factor s(j).
4*(j - 2)*(j - 1)**3
Suppose 3 - 4 = j. Let r be (16 - 13) + 1*j/1. Solve 0*w + 0*w**3 + 0 + 3/5*w**r - 3/5*w**4 = 0 for w.
-1, 0, 1
Let t(y) be the third derivative of y**7/280 + y**6/20 + 7*y**5/80 - 15*y**2 + 1. Factor t(u).
3*u**2*(u + 1)*(u + 7)/4
Let m(x) be the third derivative of x**5/180 + 10*x**4/9 + 800*x**3/9 - 133*x**2. Let m(d) = 0. What is d?
-40
Let v be (-2)/((-55)/(-10) + -6). Let b be (v + (133/5)/(-7))*3. Find u such that b*u - 3/5*u**2 + 6/5 = 0.
-1, 2
Let l = 108421/724 + -1/362. Let f = l + -149. Determine o, given that -3/2 - f*o**2 - 9/4*o = 0.
-2, -1
Factor 1/3*p + 1 - p**2 - 1/3*p**3.
-(p - 1)*(p + 1)*(p + 3)/3
Let l(f) = -12*f**2 + 1716*f - 7. Let x(s) = 28*s**2 - 4004*s + 16. Let j(q) = -16*l(q) - 7*x(q). Factor j(k).
-4*k*(k - 143)
Let y(f) be the third derivative of 0 + 5/672*f**8 + 0*f + 23*f**2 + 0*f**3 + 0*f**4 - 5/84*f**7 - 1/6*f**5 + 1/6*f**6. Factor y(g).
5*g**2*(g - 2)**2*(g - 1)/2
Let v = -22 + 14. Let a = v + 23. Suppose 0*c - a*c - 2*c**2 + 5 + 8*c**2 + 1 = 0. Calculate c.
1/2, 2
Factor 2/11*g**3 - 20/11*g**2 - 36/11 + 54/11*g.
2*(g - 6)*(g - 3)*(g - 1)/11
Let c be 102*(-2)/(-1485)*(1 + 2). Let d = c - 2/165. Find j such that 0*j**3 + 4/5*j**4 - 4/5*j**2 + d*j**5 - 2/5*j + 0 = 0.
-1, 0, 1
Let d(n) be the first derivative of 4*n**3/15 + 2*n**2/5 - 24*n/5 - 345. Let d(q) = 0. Calculate q.
-3, 2
Let m = 25 - 14. Suppose -4*w - 2*s + 28 = -6*s, -3*w = 5*s + m. What is l in l**2 - 2 + 5 - 4 + l**w - l = 0?
-1, 1
Let s(b) be the first derivative of -3*b**4/28 + 3*b**2/14 + 64. Suppose s(q) = 0. Calculate q.
-1, 0, 1
Let o(t) be the second derivative of t**4/18 - 2*t**3 + 38*t. Factor o(g).
2*g*(g - 18)/3
Solve 744*s**5 - 4*s**4 - 64*s**2 - 746*s**5 + 29*s**3 + 7*s**3 + 46*s - 12 = 0 for s.
-6, 1
Let w(c) be the first derivative of -c**6/1260 - c**5/70 - 2*c**4/21 + 4*c**3/3 + 41. Let p(k) be the third derivative of w(k). Solve p(q) = 0.
-4, -2
Let y = 1 + -13. Let w be -3*(-8)/y*-1. Suppose 4*m + 4*m**5 - 8*m**3 - w*m + 2*m + 0*m = 0. What is m?
-1, 0, 1
Let b(z) be the second derivative of z**6/30 + 3*z**5/10 - 7*z**4/12 - 6*z**3 + 18*z**2 + 375*z. Suppose b(t) = 0. What is t?
-6, -3, 1, 2
Let s(o) be the first derivative of 2*o**5/65 - 268*o**4/13 + 71824*o**3/13 - 9624416*o**2/13 + 644835872*o/13 - 360. Solve s(t) = 0 for t.
134
Let g(i) be the first derivative of i**4/16 + i**3/4 - 3*i**2 - 20*i - 65. Solve g(r) = 0 for r.
-4, 5
Let f(s) = -5 - 2*s - 20*s**2 + 22*s**2 + 4. Let j(m) = m**2 - m. Let y = -3 + -1. Let c(q) = y*f(q) + 6*j(q). Suppose c(l) = 0. What is l?
-1, 2
Factor 0 - 302/5*s**3 + 0*s + 34/5*s**4 - 36/5*s**2.
2*s**2*(s - 9)*(17*s + 2)/5
Let h be (-1 - (-3 + 2)) + 2. Let -4 + 0*y + 3*y - 1 + 3*y**2 - 3*y**3 + h = 0. What is y?
-1, 1
Let u(s) be the second derivative of 0 + 1/8*s**4 - 1/3*s**3 - s**2 + 17*s. Factor u(d).
(d - 2)*(3*d + 2)/2
Factor -113*t**2 + 5*t**4 + 5*t**5 + 1341 + 33*t**2 - 80*t**3 - 670 - 671.
5*t**2*(t - 4)*(t + 1)*(t + 4)
Let a be 0/44 + ((-30)/16)/(-3). Let t(j) be the first derivative of -1/3*j**3 + a*j**2 + 1/16*j**4 - 1/2*j - 3. Let t(s) = 0. What is s?
1, 2
Let k = 6805 + -6803. Suppose 10/11*q + 12/11 + 2/11*q**k = 0. What is q?
-3, -2
Let b be 900/125 + 3/(-15). Let u(h) be the second derivative of -1/3*h**3 - 2/15*h**6 + 0 + 1/3*h**4 + 1/21*h**b + 0*h**5 + 0*h**2 + h. Factor u(w).
2*w*(w - 1)**3*(w + 1)
Let v(o) be the second derivative of 0*o**4 - 1/2340*o**6 - 3*o + 0*o**5 + 0 + 0*o**2 + 2/3*o**3. Let d(a) be the second derivative of v(a). Factor d(b).
-2*b**2/13
Suppose -12*c + 8*c = -28. Suppose 4 = c*a - 6*a. Factor 3*j**a + j**5 + 2*j**5 - 3*j**2 + 0*j**5 + 0*j**3 - 3*j**3.
3*j**2*(j - 1)*(j + 1)**2
Let l(x) be the second derivative of 0 - 1/21*x**7 + 1/2*x**4 - 1/40*x**5 + 0*x**2 - 1/3*x**3 - 1/5*x**6 + 8*x. Factor l(y).
-y*(y + 2)**2*(2*y - 1)**2/2
Let b = -352 - -2117/6. Let z(k) be the first derivative of 0*k + b*k**6 - 3 + 5/2*k**2 + 0*k**3 - 5/2*k**4 + 0*k**5. Factor z(d).
5*d*(d - 1)**2*(d + 1)**2
Suppose 2*x - 16 = 3*f, x - 5 + 23 = -5*f. What is r in 39*r + 12*r**2 - 42*r - 11*r**3 + x*r**3 = 0?
0, 1/3, 1
Let m(n) = 2*n**4 - n**3 - 2*n**2 - n + 1. Let r(v) = 32*v**4 + 87*v**3 + 44*v**2 - 5*v - 9. Let u(a) = -5*m(a) - r(a). Find x such that u(x) = 0.
-1, -2/7, 1/3
Let g(a) be the third derivative of a**8/80640 - a**7/20160 - a**5/5 - 5*a**2. Let u(p) be the third derivative of g(p). Factor u(b).
b*(b - 1)/4
Let k = 5187 + -5187. Suppose 2/5*r**2 + k - 1/5*r - 1/5*r**3 = 0. Calculate r.
0, 1
Factor -36*o + 88 + 43*o**2 - 13*o**2 - 10*o**2 - 17*o**2 - 7*o**2.
-4*(o - 2)*(o + 11)
Suppose -4*a + 0*a + 180 = 0. Let k be (-54)/a*5/(-3). Factor -3*p**2 - 6 + 0*p**k + 9.
-3*(p - 1)*(p + 1)
Let i(a) be the first derivative of -9/16*a**4 + 30 + 1/10*a**5 + 7/6*a**3 - 9/8*a**2 + 1/2*a. Let i(b) = 0. Calculate b.
1/2, 1, 2
Let k(m) = -6*m**3 + 2*m**2 + 26*m - 12. Let r(u) = -30*u**3 + 9*u**2 + 131*u - 58. Let t(j) = 11*k(j) - 2*r(j). Factor t(p).
-2*(p - 2)*(p + 2)*(3*p - 2)
Let n(x) be the third derivative of x**6/30 + 2*x**5/3 + 19*x**4/6 - 20*x**3 + x**2 + 233*x. Factor n(o).
4*(o - 1)*(o + 5)*(o + 6)
Suppose -10*c + 9*c + 3 = 0. Let x(v) be the third derivative of 0*v**c + 0*v**4 + 1/15*v**6 - 2/15*v**5 + 0 + 0*v - 3*v**2 - 1/105*v**7. Factor x(t).
-2*t**2*(t - 2)**2
Let m be (-39)/26*8/(-36). Let i(a) be the second derivative of -2*a**2 + 0*a**3 + m*a**4 - 5*a + 0. Factor i(d).
4*(d - 1)*(d + 1)
Let k(b) = -130*b - 55. Let a be k(-5). Let p be (-17)/(a/(-30))*7. Factor -p + 3*n - 3/8*n**2.
-3*(n - 4)**2/8
Let k = -15 + 30. Solve 4 - 5*j**5 + 1 + k + 15*j**4 + 5*j**3 - 46*j**2 + 11*j**2 = 0 for j.
-1, 1, 2
Let o be (-287)/35 - 2/(-10). Let s = 11 + o. Let 2*i**3 + 3*i**3 + 2*i**2 + 8*i + 6*i**2 - s*i**3 = 0. What is i?
-2, 0
Let z be (-2 - 22/(-8) - 1)*-8. Let g(h) be the second derivative of -5/18*h**4 + 0 + 8/9*h**3 + 3*h - 4/3*h**z + 1/30*h**5. What is q in g(q) = 0?
1, 2
Let i be 12/(-5)*(-7 + 160/30). Let b(w) be the second derivative of 2*w**3 + 2*w**2 + 0 + 3/4*w**i - 8*w. Suppose b(s) = 0. Calculate s.
-2/3
Let s = -1731 + 1738. Let k(h) be the second derivative of 1/54*h**4 + 1/189*h**s - 1/135*h**6 + 0*h**3 - 10*h - 1/90*h**5 + 0*h**2 + 0. Factor k(u).
2*u**2*(u - 1)**2*(u + 1)/9
Let m(q) be the third derivative of -q**7/42 + q**6/12 + 3*q**5/4 - 15*q**4/4 - 837*q**2. Suppose m(s) = 0. What is s?
-3, 0, 2, 3
Let p(f) be the third derivative of f**6/720 - f**5/20 + 3*f**4/4 - 6*f**3 + 21*f**2 - 1. Factor p(m).
(m - 6)**3/6
Let -10/13*y**3 - 2/13*y**4 - 14/13*y**2 - 6/13*y + 0 = 0. What is y?
-3, -1, 0
Solve 1/4*y**2 + 19/2*y - 39/4 = 0 for y.
-39, 1
Let c(u) = 2*u**2 - 63*u + 220. Let i be c(4). Suppose 1/4*j**3 + 0*j**2 + i*j + 0 = 0. What is j?
0
Suppose -1 = 4*z - 5. Let r be 3/(z + -2)*10/(-20). Let -3*v**2 + 0 + 3/2*v**3 + r*v = 0. Calculate v.
0, 1
Let r(f) = f**5 - f**4 + f**3 - f**2 + 1. Let x(b) = b**5 - 6*b**4 + 4*b**3 + 10*b**2 - 9*b + 2. Let v(l) = 4*r(l) - 2*x(l). Factor v(m).
2*m*(m - 1)**2*(m + 3)**2
Let v(t) = 2*t**4 - 4*t**3 - 5*t**2. Let b(p) = p**2. Suppose 0 = 4*h + 58 - 50. Suppose -4*o + 2 = 42. Let c(s) = h*v(s) + o*b(s). Let c(f) = 0. Calculate f.
0, 2
Let u(o) be the first derivative of 1/12*o**4 + 1/3*o**2 + 12 + 0*o - 1/3*o**3. Factor u(p).
p*(p - 2)*(p - 1)/3
Let i(l) be the first derivative of l**6/480 - l**5/80 - 3*l**4/32 + 11*l**3/3 + 5. Let q(x) be the third derivative of i(x). Solve q(d) = 0.
-1, 3
Let b(h) = h**3 + 5*h**2 - 5. Let w be b(-4). Let z = w - 9. Factor 0 - 3*q**z + 4 - 3*q - 4.
-3*q*(q + 1)
Let b(u) be the second derivative of u**6/165 - u**4/22 - 2*u**3/33 + 11*u - 1. Suppose b(z) = 0. Calculate z.
-1, 0, 2
Let u(h) be the second derivative of 1/5*h**3 + 0*h**4 - 3/50*h**5 + 0 + 1/50*h**6 - 3/10*h**2 + 17*h. Determine a so that u(a) = 0.
-1, 1
Let m be 1*(0*(-5)/(-20))/(-1). Let z be 0/1 - 8/(-10). Determine w so that 2/5*w**4 + m*w**2 - 2/5 - z*w**3 + 4/5*w = 0.
-1, 1
Factor 2/7 - 2/7*p - 2/7*p**2 + 2/7*p**3.
2*(p - 1)**2*(p + 1)/7
Factor 2055*g**2 - 7606*g + 111*g**2 - 76*g**3 + g**4 - 19830*g + 130321.
(g 