. Solve w(v) = 0 for v.
0, 1
Let t(p) be the first derivative of -8/21*p**3 + 2/7*p - 1 - 3/7*p**2. Factor t(a).
-2*(a + 1)*(4*a - 1)/7
Suppose 7 = -4*i - 1. Let c = 0 - i. Let 2*z**c + z**2 + z + 3*z**3 + z**4 + 0*z**4 = 0. Calculate z.
-1, 0
Let f(z) be the third derivative of 0 - 1/60*z**5 + 0*z - 1/24*z**4 + 1/120*z**6 + 1/6*z**3 + 2*z**2. Determine n, given that f(n) = 0.
-1, 1
Let i(h) be the third derivative of h**7/5040 + h**6/2160 - h**5/720 - h**4/144 + 5*h**3/6 - 2*h**2. Let d(b) be the first derivative of i(b). Factor d(q).
(q - 1)*(q + 1)**2/6
Let y = 5 + 7. Let w(r) = 22*r**2 + 32*r + 10. Let a(g) = -9*g**2 - 13*g - 4. Let x(j) = y*a(j) + 5*w(j). Determine v so that x(v) = 0.
-1
Let i(a) be the second derivative of -a**7/525 + a**5/150 + a**2/2 + 2*a. Let d(x) be the first derivative of i(x). Factor d(l).
-2*l**2*(l - 1)*(l + 1)/5
Suppose 5*q + 2*u = 6, -3*u + 9 = 2*q - 5*q. Let z(r) be the second derivative of -3/5*r**2 + 1/20*r**4 - 1/10*r**3 + r + q. Factor z(v).
3*(v - 2)*(v + 1)/5
Let c(b) = 16*b**3 - 25*b**2 + 24*b - 15. Let j(i) = -6*i + 5*i**2 + 1 + 0*i - 3*i**3 + i + 2. Let t(f) = -6*c(f) - 33*j(f). Find g, given that t(g) = 0.
1, 3
Suppose m = 6*m - 3*v - 19, 7 = 3*m - 4*v. Factor 4*d**5 - 2*d**m - d**3 + 0*d**5 + d**4.
d**3*(d + 1)*(2*d - 1)
Let g be 2/4*36/3. Let -g*r - r**2 - 5*r + 3*r - 1 + 10*r = 0. Calculate r.
1
Let s be (-2*1)/(-9 + 14). Let k = 9/10 + s. Find d, given that -d**3 - 1/2 + d**2 + 1/2*d**5 - 1/2*d**4 + k*d = 0.
-1, 1
Let o(m) be the second derivative of -m**7/315 + m**5/45 - m**3/9 + m**2/2 + 2*m. Let f(b) be the first derivative of o(b). Suppose f(x) = 0. What is x?
-1, 1
Let s(z) = -4*z + 44. Let o be s(10). Let p(u) be the first derivative of 2/7*u**3 - 2/7*u**2 + 6/7*u**4 + o + 0*u + 2/5*u**5. Determine a so that p(a) = 0.
-1, 0, 2/7
Determine d so that -1/7*d**3 - 15/7*d - 9/7 - d**2 = 0.
-3, -1
Let a = -83 + 85. Let k(f) be the first derivative of -3/4*f**4 - a + f - 5/3*f**3 - 1/2*f**2. Factor k(b).
-(b + 1)**2*(3*b - 1)
Let j(p) be the first derivative of -2/11*p**2 + 1 + 2/33*p**3 + 2/11*p. Factor j(i).
2*(i - 1)**2/11
Let u(k) = 15*k**2 - 64*k + 128. Let p(q) = -8*q**2 + 32*q - 64. Let a(m) = 7*p(m) + 4*u(m). Find t, given that a(t) = 0.
4
Let p(s) be the first derivative of 2*s**7/315 + s**6/60 - s**4/36 + 2*s**2 + 5. Let c(n) be the second derivative of p(n). Factor c(j).
2*j*(j + 1)**2*(2*j - 1)/3
Let g be 0/(3 + -3 + 3 + -4). Let m(n) be the third derivative of g*n**3 + 1/72*n**4 + 0*n + 0 + 2*n**2 + 1/90*n**5. Factor m(k).
k*(2*k + 1)/3
Let a be 4 - (1 - (2 - 3)). Let f be (-1 + 18/10)/a. What is h in f*h**2 + 2/5*h + 0 = 0?
-1, 0
Let v(j) be the second derivative of j**4/42 + j**3/7 + 6*j. Solve v(p) = 0 for p.
-3, 0
Find a, given that 5*a**4 - 12 - 9*a**2 + 2 + 6*a**2 - 25*a - 12*a**2 + 5*a**3 = 0.
-1, 2
Let d be 68/16 - (-6)/8. Determine q so that -q - q**2 + d*q**3 + 0*q + 1 - 4*q**3 = 0.
-1, 1
Let n(m) = -4*m**3 - 4*m**2 + 13*m + 4. Suppose 18 - 98 = 4*d. Let l = d - -11. Let s(z) = z**3 + z**2 - 3*z - 1. Let t(a) = l*s(a) - 2*n(a). Factor t(r).
-(r - 1)*(r + 1)**2
Find k, given that -1/7*k**3 + 1/7*k + 1/7*k**4 + 0 - 1/7*k**2 = 0.
-1, 0, 1
Let y(l) be the first derivative of 1/120*l**5 + 0*l**3 + 1/48*l**4 + 0*l - 1 - l**2. Let u(p) be the second derivative of y(p). Let u(s) = 0. What is s?
-1, 0
Let g(l) be the third derivative of -l**8/336 - 13*l**7/840 - l**6/32 - 7*l**5/240 - l**4/96 + 20*l**2. Factor g(y).
-y*(y + 1)**3*(4*y + 1)/4
Let s(f) = -f**2 + 3*f + 3. Let p be s(2). Solve 0 + 0*m - 3/5*m**3 - 3/5*m**4 - 1/5*m**p - 1/5*m**2 = 0 for m.
-1, 0
Let h(w) = -w**2 + 2. Let a be h(0). Let j = 2/13 + 9/26. Factor -1/2*t**5 + 1/2*t**4 + 1/2*t**3 + 0 - j*t**a + 0*t.
-t**2*(t - 1)**2*(t + 1)/2
Let b be -7 + 84/(-14) + 67/5. Factor b*h**2 + 4/5*h + 2/5.
2*(h + 1)**2/5
Let g = 12 - 6. Factor -6*l + 2*l**4 - 4*l**2 + 2 + g*l.
2*(l - 1)**2*(l + 1)**2
Let a be (-25)/(-9) + 12/54. Suppose 0*z - 10 = -a*v + z, 5*v + z = 14. What is x in x**4 + x**v + 2*x**3 - 4*x**3 = 0?
0, 1
Let o(m) be the third derivative of -4/3*m**3 + 7/30*m**5 + 2/3*m**4 - m**2 - 1/12*m**6 + 0 + 0*m. Factor o(k).
-2*(k - 2)*(k + 1)*(5*k - 2)
Suppose 2*c - 3*m - 13 = 0, -c = 3*c + 5*m + 7. Suppose -7*q**3 + 3*q**3 + c*q**3 - 4*q - 6*q**2 = 0. What is q?
-2, -1, 0
Suppose -5*d + 3*q + 25 = 0, 0*q - 5*q = -d + 27. Let n be (-9)/d*22/(-33). Factor 1/2 - 4*i**2 + 2*i**5 - i**n - i + 7/2*i**4.
(i - 1)*(i + 1)**3*(4*i - 1)/2
Let g(d) be the third derivative of d**8/560 + 3*d**7/280 + d**6/40 + d**5/40 - 5*d**3/3 + 10*d**2. Let v(q) be the first derivative of g(q). Factor v(t).
3*t*(t + 1)**3
Let j = 13069/36 + -363. Let v(p) be the third derivative of -1/60*p**5 - 3*p**2 + 0 + 0*p + 0*p**3 - 1/360*p**6 - j*p**4. Factor v(n).
-n*(n + 1)*(n + 2)/3
Suppose -3*s + 21 = -5*p, -6*p - 5 = 5*s - p. Suppose 2*f - s*n = -0*n + 2, -4*f = 5*n - 22. Determine c so that 2*c**3 - 4*c**f - 3*c**3 + 3*c**3 = 0.
0
Let o(u) = -2*u**2 - 5*u - 2. Let n(m) be the third derivative of -m**5/20 - 3*m**4/8 - m**3/2 + 4*m**2. Let c(h) = 3*n(h) - 5*o(h). Factor c(r).
(r - 1)**2
Suppose -3*b = -4*d + 3, 3*b + 0 + 3 = -5*d. Let p be b/(3/(-12)*1). Factor -3*r**2 + r**2 - 2*r**4 - 2*r**5 - p*r**4 - 6*r**3.
-2*r**2*(r + 1)**3
Let y(n) be the first derivative of -49*n**6/6 + 21*n**5/5 + 61*n**4/2 + 20*n**3 + 4*n**2 + 36. Find g, given that y(g) = 0.
-1, -2/7, 0, 2
Let p(f) be the second derivative of f**5/80 - f**4/24 + f**3/24 - f. Suppose p(w) = 0. What is w?
0, 1
Let t be 5812/(-14) + (-3 - -1). Let i = -416 - t. Suppose 12/7*l**2 + 0 + i*l**4 - 2/7*l - 18/7*l**3 = 0. What is l?
0, 1/4, 1
Suppose 0 = 4*g - t + 2 + 2, 0 = 4*g - 2*t + 8. Let k(f) be the first derivative of -f**4 - f**2 - 1/5*f**5 - 5/3*f**3 + g*f + 3. Suppose k(u) = 0. What is u?
-2, -1, 0
Let x(q) = -q**3 + 4*q**2 + 5*q + 2. Let o be x(5). Suppose v**2 + 4*v**4 - 3*v**o + 0*v**4 - 2 - 9*v + 6*v**3 + 3*v**3 = 0. Calculate v.
-2, -1, -1/4, 1
Let a(o) be the second derivative of -7*o**6/90 + 4*o**5/15 + o**4/12 - 8*o**3/9 + 2*o**2/3 - o. Solve a(d) = 0 for d.
-1, 2/7, 1, 2
Let l be 2/4 + 1/((-8)/(-12)). Determine p, given that -1/2*p**4 - 1/2*p**5 - 1/2*p + p**3 + p**l - 1/2 = 0.
-1, 1
Let x(b) be the second derivative of 0*b**2 + 0*b**3 + 0 + 1/5*b**5 + 5*b - 1/15*b**6 - 1/6*b**4. Determine l, given that x(l) = 0.
0, 1
Let o(p) be the third derivative of 0*p**3 + 0 + 0*p + p**2 + 1/18*p**4 + 1/45*p**6 + 1/18*p**5 + 1/315*p**7. Suppose o(w) = 0. What is w?
-2, -1, 0
Let l(y) be the first derivative of 4*y**6/3 + 36*y**5/5 + 16*y**4 + 56*y**3/3 + 12*y**2 + 4*y + 34. Determine n, given that l(n) = 0.
-1, -1/2
Let u(f) = -f**3 + 6*f**2 - 5*f + 4. Let s be u(5). Factor -3*o**s - 6*o**2 + 3*o**2 - 6*o**3 + 0*o**2.
-3*o**2*(o + 1)**2
Let k(m) be the first derivative of -3*m**5/35 - 11*m**4/28 - 5*m**3/7 - 9*m**2/14 - 2*m/7 + 40. Factor k(t).
-(t + 1)**3*(3*t + 2)/7
Let c(p) be the third derivative of 1/4*p**3 + 0*p + 2*p**2 - 1/80*p**6 + 1/16*p**4 + 0 - 1/40*p**5. Factor c(x).
-3*(x - 1)*(x + 1)**2/2
Let m(x) = 6*x**2 + 3*x - 4. Let k(b) be the first derivative of b**3/3 + b**2/2 - b - 1. Let c(u) = -5*k(u) + m(u). Suppose c(o) = 0. What is o?
1
Let r be -1*2*(-1557)/18. Let u = 868/5 - r. Factor -c + c**3 - u*c**2 - 1/5 + 4/5*c**4.
(c - 1)*(c + 1)**2*(4*c + 1)/5
Factor 2/13*i**5 + 10/13*i + 20/13*i**3 - 20/13*i**2 - 10/13*i**4 - 2/13.
2*(i - 1)**5/13
Let s(v) be the third derivative of v**8/2400 + v**7/12600 - v**6/900 + v**5/20 + 3*v**2. Let z(c) be the third derivative of s(c). Factor z(u).
2*(3*u + 1)*(7*u - 2)/5
Let p = 1/451 + 446/2255. Determine o, given that 0*o**2 + 0 - 1/5*o**3 + 2/5*o**4 + 0*o - p*o**5 = 0.
0, 1
Let w(p) = 9*p**5 - 6*p**4 + 6*p**2 - 3*p. Let i(l) = 8*l**5 - 6*l**4 - l**3 + 7*l**2 - 2*l - 1. Let h(y) = -6*i(y) + 5*w(y). Suppose h(j) = 0. What is j?
-1, 1, 2
Let z be ((-4)/(-5))/(9/45). Determine o, given that -z*o**3 - 2*o**2 + 4*o + 2*o**4 - 7 + 7 = 0.
-1, 0, 1, 2
Let y(c) be the second derivative of -c**5/90 - c**4/36 + c**2/2 - 2*c. Let q(o) be the first derivative of y(o). Let q(j) = 0. Calculate j.
-1, 0
Let u(y) be the third derivative of -y**7/280 - y**6/40 - 3*y**5/40 - y**4/8 - y**3/8 + 4*y**2. Factor u(a).
-3*(a + 1)**4/4
Let u(d) be the first deriva