actor y(b).
2*b**2*(33*b - 1)/3
Let h be (5/85)/((-71)/(-284)). Solve -h - 2/17*t**2 - 6/17*t = 0.
-2, -1
Suppose 0 = 12*w + 5 - 29. Factor 0 - 6*z**w - 12*z + 3*z**3 + 3/2*z**4.
3*z*(z - 2)*(z + 2)**2/2
Let q(g) = -4*g + 33*g**2 + 3*g + 0*g**4 + 7 - 5*g**4 + g**5 - 28*g**2. Let a(c) = -c**4 + c**2 + 1. Let f(r) = -21*a(r) + 3*q(r). Factor f(w).
3*w*(w - 1)*(w + 1)**3
Factor 0 + 2/5*x**3 - 4/5*x**2 + 2/5*x.
2*x*(x - 1)**2/5
Factor -3/8 - 21/8*c**2 - 3*c.
-3*(c + 1)*(7*c + 1)/8
Let s be (-16)/(-40) - (-368)/5. Let j be s/26 - 4/(-26). Suppose 1 - 18*u**3 + 16*u**j - u**5 + 2*u**2 - 3*u**4 + 0*u**5 + 3*u = 0. What is u?
-1, 1
Let a(o) = -o**2 + 16*o - 16. Let p be a(15). Let q(h) = h**2 - h. Let u(r) = 9*r**2 + 6*r + 9. Let c(j) = p*u(j) + 6*q(j). Let c(m) = 0. What is m?
-3, -1
Find h such that 144/13 + 120/13*h + 2/13*h**3 + 28/13*h**2 = 0.
-6, -2
Suppose -53*c + 41 + 26 + 39 = 0. What is f in 22/13*f**c + 12/13*f**3 + 0 - 4/13*f = 0?
-2, 0, 1/6
Let f(o) be the first derivative of -2*o**5/15 + 4*o**3/9 - 2*o/3 - 119. Factor f(m).
-2*(m - 1)**2*(m + 1)**2/3
Let a(q) = -4*q**4 + 16*q**3 - 20*q**2 + 12*q - 2. Let g = -4 - -11. Let f = 4 - g. Let z(i) = -i**4 + i**3 - i**2 - i. Let c(p) = f*z(p) - 3*a(p). Factor c(j).
3*(j - 1)**3*(5*j - 2)
Let g be (3 - -4)*(-6)/(-21). Let -d - 5*d**g + 5*d - 2*d - 5 + 8*d = 0. Calculate d.
1
Let g be 24/10 + 48/(-120). What is z in 0*z**g + 4/15*z**3 - 2/15*z + 0*z**4 - 2/15*z**5 + 0 = 0?
-1, 0, 1
Let q(i) be the first derivative of -14/25*i**5 + i**2 + 2/5*i - 1/5*i**6 - 1/5*i**4 + 4/5*i**3 - 3. Let q(s) = 0. Calculate s.
-1, -1/3, 1
Let k(b) be the first derivative of b**5/60 + b**4/8 + b**3/3 + 53*b**2/2 + 18. Let p(h) be the second derivative of k(h). Factor p(y).
(y + 1)*(y + 2)
Let g = 270/319 - 14/29. Factor 20/11 + g*x**2 - 2/11*x**3 + 26/11*x.
-2*(x - 5)*(x + 1)*(x + 2)/11
Let f(j) = 4*j**2 + 13*j - 10. Let y be f(-6). Let l = y - 223/4. Factor 1/2 + l*b**2 + 3/4*b.
(b + 1)*(b + 2)/4
Let h(u) be the third derivative of -8*u**7/105 + 49*u**6/30 - 8*u**5 + 9*u**4/2 - 104*u**2. Find x such that h(x) = 0.
0, 1/4, 3, 9
Let m = 49 - 47. What is k in -132 - 2*k + 132 - 8*k - 5*k**m = 0?
-2, 0
Let h(t) = -t**2 - 126*t - 841. Let u(k) = 125*k + 840. Let l(p) = 5*h(p) + 4*u(p). Determine c so that l(c) = 0.
-13
Solve 2*i**2 + 18/7*i**3 + 10/7*i**4 + 4/7*i + 0 + 2/7*i**5 = 0.
-2, -1, 0
Let k be ((-5)/5 + 0)*0. Let b(r) be the second derivative of 0*r**3 + 0 + k*r**4 + 2/5*r**6 + 2/5*r**5 + 0*r**2 - 11*r + 2/21*r**7. Factor b(z).
4*z**3*(z + 1)*(z + 2)
Let d be 2604/516 - (1 - -4). Let t = d + 76/215. Solve -6/5*q**2 + 4/5 - t*q = 0.
-1, 2/3
Let x(q) be the second derivative of 7*q**4/12 + 3*q. Let m(k) = -k**2 - k. Let f(z) = 4*m(z) + 2*x(z). Suppose f(h) = 0. What is h?
0, 2/5
Let u(d) be the first derivative of -4*d**3/3 - 25*d**2/2 - 21*d - 14. Let k(s) = 6*s**2 + 38*s + 32. Let r(l) = 5*k(l) + 8*u(l). Find b, given that r(b) = 0.
-4, -1
Let x(m) = 6*m**2 + 6*m + 18. Let a(c) = -9*c**2 - 7*c - 18. Let k(y) = 3*a(y) + 4*x(y). Factor k(h).
-3*(h - 3)*(h + 2)
Let r(p) be the second derivative of -3*p**5/100 - 5*p**4/2 - 125*p**3/2 - 127*p. Solve r(n) = 0.
-25, 0
Let a(c) be the third derivative of 5*c**6/24 + c**5/4 - 15*c**4/8 - 35*c**3/6 + 6*c**2 - 16*c. Solve a(y) = 0.
-1, 7/5
Let 7*u**4 - 16*u**3 + 5*u**4 - 6*u**4 - 2*u**4 + 16*u**2 = 0. What is u?
0, 2
Suppose 2*q + 2 = -2*b, 0 = 186*b - 184*b + 5*q + 5. Let m + b + 1/2*m**2 - 1/2*m**3 = 0. Calculate m.
-1, 0, 2
Let x = 14/31 + -8/155. Factor 0 + x*y**2 + 8/5*y.
2*y*(y + 4)/5
Let r(b) be the second derivative of -b**8/15680 + b**7/2940 - 2*b**4/3 + b. Let f(h) be the third derivative of r(h). Let f(l) = 0. What is l?
0, 2
Determine x so that 0 - 4/5*x**3 + 32/5*x**2 + 0*x = 0.
0, 8
Factor 187*g**2 - 64*g + 36 - 32*g**3 - 97*g - 59*g + 125*g**2.
-4*(g - 9)*(2*g - 1)*(4*g - 1)
Let x be (3/9 + 0)/((-2)/(-3)). Solve 0*l**2 + 0*l - 5/6*l**4 + 0 - 1/3*l**5 + x*l**3 = 0.
-3, 0, 1/2
Let w be ((-2)/6)/(6/54*-1). Factor -4*m - 8*m**5 - 1 - w*m**2 + 2*m**2 + 157*m**4 - 153*m**4 + 10*m**3.
-(m - 1)**2*(2*m + 1)**3
Let v(j) be the first derivative of 15*j**4/4 + 190*j**3/3 - 65*j**2/2 + 190. Factor v(q).
5*q*(q + 13)*(3*q - 1)
Let x(r) = r**5 + 3*r**2 + 3. Let n(s) = -s**2 - 1. Suppose -4*o + 8 - 16 = 0. Let y(h) = o*x(h) - 6*n(h). Solve y(f) = 0 for f.
0
Let o(b) be the second derivative of -2/39*b**3 + 13*b + 0 + 1/78*b**4 - 3/13*b**2. Factor o(z).
2*(z - 3)*(z + 1)/13
Let f(y) be the first derivative of 1/3*y**2 + 2/27*y**3 + 4 - 8/9*y. Factor f(h).
2*(h - 1)*(h + 4)/9
Suppose -10 = -4*q - 2. Suppose 3*f - s - q = 0, -2*f - 3*s + 16 = -0*f. Determine a, given that 4*a**3 - 4*a**3 - f*a**3 = 0.
0
Let s = -467 + 473. Let u be 4/(-6)*-3 + 0. Solve 0 - s*w + 30*w**u - 8*w - 18*w**3 - 2 + 4 = 0.
1/3, 1
Let r(u) = u**2 + u - 340. Let p be r(-19). Factor -1/6*l**3 - 49/6 + 13/6*l**p - 35/6*l.
-(l - 7)**2*(l + 1)/6
Factor 0*p**2 + 0*p + 0 - 4/5*p**3 - 12/5*p**5 - 16/5*p**4.
-4*p**3*(p + 1)*(3*p + 1)/5
Suppose -2*v = 3*t + 11, -5*v = -3*v + 4*t + 16. Determine i so that -5*i - 2 - 9*i**2 + v*i + 5 + 3 + 3*i**3 + 3*i**4 = 0.
-2, -1, 1
Let l(y) be the second derivative of 5*y**4/3 - 28*y**3/3 + 16*y**2 + 105*y. Find x such that l(x) = 0.
4/5, 2
Let g = 6 - 4. Let m be (7310/7525)/((-2)/(-7)). Suppose v**g + 6/5 + m*v = 0. What is v?
-3, -2/5
Let a(m) = m**3 - m**2. Let x(b) = -4*b**3 - 8*b**2 - 6*b. Suppose -3*r + 3 = 6. Let l(k) = r*a(k) - x(k). Solve l(d) = 0 for d.
-2, -1, 0
Let u(d) be the first derivative of -d**4/90 + d**3/45 - 6*d + 5. Let b(s) be the first derivative of u(s). Factor b(h).
-2*h*(h - 1)/15
Let s(o) be the second derivative of -9*o**5/20 + o**4/4 + 19*o**3 + 36*o**2 + 16*o - 2. Solve s(y) = 0 for y.
-3, -2/3, 4
Determine n, given that 8/9*n - 2/9*n**3 + 32/9 - 8/9*n**2 = 0.
-4, -2, 2
Let s(f) be the third derivative of -1/54*f**4 + 0*f + 1/27*f**3 + 13*f**2 + 0 + 1/270*f**5. Determine n so that s(n) = 0.
1
Let k(h) be the third derivative of h**6/30 - 2*h**5/3 + 2*h**4 + 48*h**3 - 3*h**2 + h. Solve k(l) = 0 for l.
-2, 6
Let v be ((-1)/(-9) + 26847/7695)*(-5)/(-33). Factor v - 6/11*h**2 - 6/11*h + 6/11*h**3.
6*(h - 1)**2*(h + 1)/11
Let u(r) be the second derivative of r**6/1800 + r**5/300 - 13*r**3/6 + 3*r. Let p(j) be the second derivative of u(j). Factor p(v).
v*(v + 2)/5
Let o = 98/55 + -14239/7590. Let v = o + 6/23. Determine r, given that 1/2*r + v*r**3 + 1/2*r**2 + 1/6 = 0.
-1
Suppose -2*c + 2*f = 0, 3*c + 4*f + 30 = 51. Let g(n) be the first derivative of -3*n**c + 3/2*n - 9/10*n**5 - 3*n**4 - 9 + 0*n**2. Let g(a) = 0. What is a?
-1, 1/3
Let x(b) = 133*b**4 + 757*b**3 - 105*b**2 - 24*b + 10. Let g(z) = -200*z**4 - 1136*z**3 + 158*z**2 + 36*z - 16. Let d(r) = 5*g(r) + 8*x(r). Solve d(k) = 0.
-6, -1/8, 0, 1/4
Let v = -17 - -19. Suppose 0 = 3*b + 2*d - 12, -5*b - v*d + 16 = -0*d. Find p such that -6/5*p + 2/5*p**b + 4/5 = 0.
1, 2
Suppose 3*q = -o - 2, -52*q + 3*o = -55*q - 6. Let j(r) be the third derivative of q + 0*r - r**3 - 1/10*r**5 - 5/8*r**4 - 5*r**2. Factor j(l).
-3*(l + 2)*(2*l + 1)
Let d(t) be the third derivative of -2*t**7/945 + 2*t**6/135 - t**5/45 + 15*t**2. Suppose d(v) = 0. What is v?
0, 1, 3
Suppose 2*i = 181 - 157. Let s be (i/45)/((-5)/(-15)). Find h, given that -s - 22/5*h**2 - 26/5*h = 0.
-1, -2/11
Let v(u) = 3*u**3 + 4*u**2. Let q(l) = -l**3 + 1. Let c(r) = 4*r**2 - r + 2. Let n(m) = -c(m) + 2*q(m). Let i(w) = 4*n(w) + 3*v(w). Let i(d) = 0. Calculate d.
0, 2
Let t(y) be the first derivative of 1/48*y**3 - 1/160*y**5 + 0*y**2 + 0*y**4 + 12*y - 1. Let k(l) be the first derivative of t(l). What is j in k(j) = 0?
-1, 0, 1
Let u = 144527/2964 + -8/741. Factor -109/8*f**2 - 1/2 - 225/8*f**4 + u*f**3 - 13/2*f.
-(f - 1)**2*(15*f + 2)**2/8
Let y(h) be the second derivative of h**5/15 - 19*h**4/18 + 22*h**3/9 + 16*h**2/3 - 2*h - 4. Factor y(k).
2*(k - 8)*(k - 2)*(2*k + 1)/3
Let c be (4 + 0)/((-288)/(-48)). Factor 2*v - 2/3*v**2 + 0 - 2*v**3 + c*v**4.
2*v*(v - 3)*(v - 1)*(v + 1)/3
Let w(k) be the first derivative of -1/9*k**2 - 2/27*k**3 + 0*k - 21. Suppose w(n) = 0. What is n?
-1, 0
Suppose 0 = 24*x - 14*x. Let u(j) be the second derivative of x*j**3 - j + 0*j**2 + 0*j**4 + 0 + 1/40*j**5. Factor u(s).
s**3/2
Let d(m) be the second derivat