+ 4/5*v**4 = 0.
0, 1
Let o = 21 + -62/3. Let b(a) be the first derivative of o*a**3 - 3/8*a**2 - 1/4*a - 1. Factor b(l).
(l - 1)*(4*l + 1)/4
Let m(j) be the first derivative of -j**4 + 5*j**3 - 6*j**2 - 4*j - 11. Factor m(o).
-(o - 2)**2*(4*o + 1)
Let a = -4 + 6. Suppose 11*w - 10*w = 4. Let -2*s**4 - 8*s**3 - 2*s**w + 5*s + a*s**3 - 4*s**2 - 6*s - s**5 = 0. What is s?
-1, 0
Let p be 96/7 - (-2)/7. Let m(n) = -10*n**4 - n**2 + 4. Let c(s) = 34*s**2 + 1 - 3*s**4 - 34*s**2. Let z(j) = p*c(j) - 4*m(j). Suppose z(t) = 0. Calculate t.
-1, 1
Let n(l) be the second derivative of -13*l**5/2 - 15*l**4/4 + 5*l**3/3 - l. Find h such that n(h) = 0.
-1/2, 0, 2/13
Let d(g) be the third derivative of -g**7/315 - 2*g**6/45 - 4*g**5/15 - 8*g**4/9 - 16*g**3/9 + 4*g**2. Factor d(s).
-2*(s + 2)**4/3
Let z be (10 - 14)*(3/1)/(-3). Let x(v) be the third derivative of 0 - 1/9*v**3 - v**2 + 1/18*v**z - 1/90*v**5 + 0*v. Suppose x(f) = 0. Calculate f.
1
Let h(p) be the third derivative of -p**7/980 - p**6/630 + p**5/140 + p**4/42 - p**3 + 6*p**2. Let c(u) be the first derivative of h(u). What is t in c(t) = 0?
-1, -2/3, 1
Let v(f) be the first derivative of -2*f**5/65 + f**4/13 - 2*f**3/39 - 9. Factor v(w).
-2*w**2*(w - 1)**2/13
Let j(n) = 2*n + 0*n**2 - 3*n**5 + n**5 + 4*n**3 - 4*n**2. Let a(l) = 6*l**5 - 12*l**3 + 11*l**2 - 5*l. Let c(v) = -4*a(v) - 11*j(v). Let c(r) = 0. What is r?
-1, 0, 1
Let v(z) = 4*z**5 - 15*z**4 + 8*z**3 + 4*z**2 + 4*z - 4. Let k(t) = -t**3 + t - 1. Let m(f) = -4*k(f) + v(f). Let m(l) = 0. What is l?
-1/4, 0, 2
Factor 38*c**2 + 39*c**2 - 76*c**2.
c**2
Let b(a) be the first derivative of a**5/30 - a**3/3 + 3*a**2/2 + 1. Let i(t) be the second derivative of b(t). Factor i(k).
2*(k - 1)*(k + 1)
Let q = 13 + -11. Suppose 2*a - 8 = q*b, -20 = -2*b - 5*a - 0*a. Factor 8/9*j - 8/9*j**2 - 2/3*j**3 + b.
-2*j*(j + 2)*(3*j - 2)/9
Let u = 16 + -26. Let p be 66/14 - u/35. Determine a so that 1 - p*a**3 + a**3 - 7*a**4 - 4*a**3 + 2*a - 2*a**5 - 2*a**2 = 0.
-1, 1/2
Let o = 166 - 166. Let c(r) be the third derivative of o*r + 1/80*r**5 + 0*r**3 - 1/96*r**4 - 1/240*r**6 + 0 - 3*r**2. Determine z, given that c(z) = 0.
0, 1/2, 1
Let v = -8 + 5. Let p(k) = 3*k**3 - 4. Let a(b) = 2*b**3 - 3. Let u(t) = v*p(t) + 4*a(t). Let u(r) = 0. Calculate r.
0
What is l in 1/2 - 1/2*l**2 + 1/6*l**3 - 1/6*l = 0?
-1, 1, 3
Determine k so that -1 - 3/2*k + 0*k**2 + 1/2*k**3 = 0.
-1, 2
Let q(u) be the second derivative of -9*u + 0*u**5 - 2/45*u**6 - 1/9*u**3 + 0 + 1/63*u**7 + 0*u**2 + 1/9*u**4. Find s, given that q(s) = 0.
-1, 0, 1
Let n(s) be the third derivative of s**8/2800 - s**7/1400 - s**6/300 - 5*s**3/6 - 3*s**2. Let k(j) be the first derivative of n(j). Factor k(g).
3*g**2*(g - 2)*(g + 1)/5
Let g = -977 + 980. Let 6/5*d + 2/5 + 6/5*d**2 + 2/5*d**g = 0. What is d?
-1
Let t(c) = 15*c**2 + 8*c - 23. Let y(g) = 8*g**2 + 4*g - 12. Let v(p) = -6*t(p) + 11*y(p). Factor v(q).
-2*(q - 1)*(q + 3)
Find h such that 1/5 + 3/5*h + 3/5*h**2 + 1/5*h**3 = 0.
-1
Let u(o) = -3*o**2 - 15*o + 3. Let t(r) = 3*r**2 + 16*r - 4. Let w(a) = -3*t(a) - 4*u(a). Factor w(k).
3*k*(k + 4)
Let i(s) be the third derivative of 4*s**2 + 1/840*s**7 - 1/120*s**5 + 0*s**4 + 0 + 0*s + 0*s**6 + 1/24*s**3. Factor i(m).
(m - 1)**2*(m + 1)**2/4
Let d(k) = 8*k**4 + 44*k**3 + 4*k**2 - 2*k + 10. Let j(n) = 3*n**4 + 14*n**3 + n**2 - n + 3. Let o(c) = 3*d(c) - 10*j(c). Factor o(r).
-2*r*(r + 1)**2*(3*r - 2)
Let z = 108/11 - 10. Let s = z + 17/33. Suppose 0 - s*d + 1/3*d**2 = 0. What is d?
0, 1
Suppose -8 = -4*a - 4. Let x = a + 1. Find s such that x*s**2 + 1/2*s**3 + 5/2*s + 1 = 0.
-2, -1
Let c(k) be the second derivative of -k**6/20 - 9*k**5/160 + 9*k**4/32 - k**3/8 - 14*k - 2. Determine m, given that c(m) = 0.
-2, 0, 1/4, 1
Suppose 0 = y + 1 - 5. Suppose -5*k + 20 = -3*i, 3*k + 0*i + 2*i - 12 = 0. Solve 4 - 2*l**2 - y*l + k*l**3 + 3*l**4 - 5*l**2 + 0*l = 0 for l.
-2, -1, 2/3, 1
Let l(s) be the third derivative of -s**6/280 + 3*s**5/140 + 5*s**4/28 - 57*s**2. Find n such that l(n) = 0.
-2, 0, 5
Let z(d) = -d + 10. Let a be z(7). What is g in -3*g**4 - 6*g**3 + 6*g - 2*g**3 - g**3 + a*g**2 + 3*g**5 = 0?
-1, 0, 1, 2
Let u be (-4)/6 - (-234)/27. Let f(s) = -s**2 - s + 5. Let t(p) = 2*p**2 + 4*p - 14. Let v(c) = u*f(c) + 3*t(c). Determine j so that v(j) = 0.
1
Let n(d) be the third derivative of d**7/14 - d**6/12 - d**5 + 5*d**4/3 + 4*d**2. Factor n(u).
5*u*(u - 2)*(u + 2)*(3*u - 2)
Let z(r) be the first derivative of -r**6/12 + 3*r**5/10 - r**4/4 + 11. Find n, given that z(n) = 0.
0, 1, 2
Let m = 2 + 0. Let y be (1/m)/(2/20). Factor 5*n**2 - 2*n**4 - y*n**2 + 2*n**2 - 2*n**3 + 2*n**5.
2*n**2*(n - 1)**2*(n + 1)
Let h(y) be the first derivative of -2*y**5 + 17*y**4/2 - 32*y**3/3 + 4*y**2 - 16. Solve h(s) = 0 for s.
0, 2/5, 1, 2
Let j(l) = l**2 - 3*l + 2. Let q(f) = f + 8. Let d be q(-5). Let g be j(d). Solve 1/2*i**3 + 0 + 1/2*i**g + 3/2*i**5 + 0*i - 5/2*i**4 = 0.
-1/3, 0, 1
Let n(p) be the third derivative of -4*p**7/105 - p**6/30 + 2*p**5/15 + p**4/6 - p**2. Factor n(u).
-4*u*(u - 1)*(u + 1)*(2*u + 1)
Let b = -2 - -4. Let 3*o**4 + 6*o**2 + o**3 - 6*o**3 + 2*o**2 - 10*o**b = 0. Calculate o.
-1/3, 0, 2
Let l = 279 + -1949/7. Let a(f) be the first derivative of l*f**2 + 2/21*f**3 - 2 + 8/7*f. Solve a(c) = 0 for c.
-2
Determine i, given that 0*i**3 - 12*i**3 + 13*i**2 - 36*i + 0*i**3 + 32*i**2 - 12 = 0.
-1/4, 2
Let a(u) be the first derivative of -4/21*u**3 - 1/14*u**4 - 3 - 1/7*u**2 + 0*u. Suppose a(w) = 0. What is w?
-1, 0
Let k be ((-3)/2)/((-9)/48). Suppose 0 = 3*p - k*p + 20. Solve 5*f**3 + 3*f**5 + 2*f**p - 5*f**3 = 0.
-2/3, 0
Let d = 262/5 + -52. Factor -d*u - 4/5 + 2/5*u**2.
2*(u - 2)*(u + 1)/5
Suppose -2*f + 20 = 2*f. Let t(j) = -j**2 + 7*j - 7. Let s be t(f). Solve z + 2*z**4 - z**2 - z**4 - z**s + 0*z**2 = 0.
-1, 0, 1
Let s(j) be the first derivative of j**4/8 - 5*j**3/6 + 7*j**2/4 - 3*j/2 - 11. Let s(d) = 0. Calculate d.
1, 3
Let n(a) be the second derivative of a**4/108 + a**3/27 + a**2/18 - 8*a. Factor n(r).
(r + 1)**2/9
Let -2 + 3/2*g - 1/4*g**3 + 3/4*g**2 = 0. Calculate g.
-2, 1, 4
Let a(k) be the second derivative of k**4/4 + 2*k. Factor a(r).
3*r**2
Let f(v) be the third derivative of v**6/120 - v**5/12 + v**4/8 + 3*v**3/2 + 19*v**2. Suppose f(y) = 0. Calculate y.
-1, 3
Let x(n) be the third derivative of -n**7/8820 + n**6/720 - n**5/280 - n**4/4 + 8*n**2. Let m(c) be the second derivative of x(c). Let m(b) = 0. What is b?
1/2, 3
Let f be 10*(-1)/36*3. Let b = 4/3 + f. Factor 0 + 1/4*d**2 + b*d.
d*(d + 2)/4
Let m = -1718/13 - -191062/1443. Let a = 3/37 + m. Solve -1/3*s**2 + s**3 + 0 - s**4 + a*s**5 + 0*s = 0 for s.
0, 1
Let h = 1211 + -3578/3. Let o = 3/1685 - -175231/5055. Suppose h*q**4 - 59/3*q**2 + 4/3 - o*q**3 + 100/3*q**5 + 4/3*q = 0. What is q?
-1, -2/5, 1/4, 1
Find i, given that 4/9*i**5 - 4/9*i**3 + 0*i - 2/3*i**4 + 8/9*i**2 - 2/9 = 0.
-1, -1/2, 1
Suppose 5*u = 11 + 24. Let w be 27/u + (7 - 10). Find n, given that -4/7*n**2 - 2/7 - w*n = 0.
-1, -1/2
Let h(c) = -2*c**3 - 22*c**2 - 9*c - 93. Let g be h(-11). Determine s so that 3/2*s**4 + 6*s**3 + 9*s**2 + 3/2 + g*s = 0.
-1
Let d be 25/(-2)*34/(-85). Determine l so that 1/3*l + 1/3*l**d + 4/3*l**2 + 2*l**3 + 0 + 4/3*l**4 = 0.
-1, 0
Let c = -2/11 - -23/66. Let f(y) be the second derivative of 0 - 1/36*y**4 - c*y**2 + y - 1/9*y**3. Determine i so that f(i) = 0.
-1
Let r(u) be the first derivative of -5*u**4/4 + 10*u**3/3 + 15*u**2/2 - 7. Factor r(c).
-5*c*(c - 3)*(c + 1)
Let d(o) = 2*o**2 + 12*o + 12. Let l(v) = -9*v - 9. Let q(z) = 5*z + 5. Let g(s) = -6*l(s) - 11*q(s). Let a(p) = -d(p) - 4*g(p). Factor a(m).
-2*(m + 2)**2
Suppose 0 = 5*z - 15, -4*y - z = 3*z - 20. Suppose -3*m + 3 + 6 = 0. Solve -y*f**m + f**4 + 0*f**4 + 3*f**3 = 0.
-1, 0
Let d be (-7)/((-630)/152) - 1. Let i = d + -7/15. Suppose -2/9 - i*h**3 + 2/9*h + 2/9*h**2 = 0. What is h?
-1, 1
Let f(q) be the first derivative of -2*q**3/27 + 13. Determine b, given that f(b) = 0.
0
Suppose 3*r = -2*r + 25. Suppose 0 = 5*z - u - 14, -r*z + 2*u - 3 + 21 = 0. Factor 2/3*h - 2/3*h**z - 2/3*h**3 + 2/3.
-2*(h - 1)*(h + 1)**2/3
Factor -102*h - 36 + 36 + 108*h + 27*h**2 + 12*h**3.
3*h*(h + 2)*(4*h + 1)
Factor -2/7 - 2/7*a**2 + 4/7*a.
-2*(a - 1)**2/7
Let w(n) be the second derivative of n**6/90 - n**