 -3*z = d + 1, -2*d = 3*d + z + 47. Let t(q) = 2*q**3 + 5*q**2 + 3*q - 3. Let s(c) = d*t(c) - 6*b(c). Factor s(g).
-2*g**2*(g - 2)
Let u be (-12)/(-20)*-1 - -1. Let y(i) be the first derivative of 0*i - 2/3*i**3 + i**2 - 1/2*i**4 - 1 + u*i**5. Factor y(d).
2*d*(d - 1)**2*(d + 1)
Let r(f) be the second derivative of -f**5/10 + f**4/6 + f**3/3 - f**2 + 5*f. Factor r(q).
-2*(q - 1)**2*(q + 1)
Let v(q) be the first derivative of q**4/16 - q**3/12 - q**2/8 + q/4 + 2. Factor v(d).
(d - 1)**2*(d + 1)/4
Let w(y) be the first derivative of -28*y**5/5 + 9*y**4 - 8*y**3/3 + 4. What is z in w(z) = 0?
0, 2/7, 1
Suppose 4*z = 4*l + 17 + 7, 3*l = 5*z - 30. Find y such that 0*y**4 + z*y**2 - y**2 + 3*y**4 - y - 7*y**3 = 0.
0, 1/3, 1
Suppose 3*p - 44 = p. Let n = -9 + 18. Factor -22 + p - 3*h**3 - 12*h**4 - n*h**5.
-3*h**3*(h + 1)*(3*h + 1)
Let m = 18 + -8. Suppose -3*g + f - 2 = -18, 2*f = -g + m. Let -g*u**3 + 0*u**3 - 2*u**2 + 10*u**2 - 2*u = 0. Calculate u.
0, 1/3, 1
Suppose -2*c = 5*d + 6, 5*d - c = 7 - 4. Let n = -179 - -182. Factor d*f - 3/4*f**2 + 0 + 3/4*f**n.
3*f**2*(f - 1)/4
Let j(m) be the first derivative of m**6/120 - m**5/40 - m**4/4 + 2*m**3 - 3. Let d(v) be the third derivative of j(v). Factor d(g).
3*(g - 2)*(g + 1)
Let i(h) be the second derivative of h**7/2940 + h**6/2520 - h**5/210 + h**4/3 + 4*h. Let u(m) be the third derivative of i(m). Factor u(r).
2*(r + 1)*(3*r - 2)/7
Let s(p) be the first derivative of -p**4/18 + 4*p**2/9 - 10. Factor s(a).
-2*a*(a - 2)*(a + 2)/9
Suppose i - 18 = -c - 2*c, c + 10 = 5*i. Solve i*w**2 - 63/5*w**5 + 6/5*w - 51/5*w**3 - 123/5*w**4 + 0 = 0 for w.
-1, -2/7, 0, 1/3
Let t(v) be the second derivative of -v**4/18 + 5*v**3/36 - v**2/12 + 4*v. Suppose t(b) = 0. Calculate b.
1/4, 1
Suppose 2*b + 1 = 7. Let c(z) be the third derivative of -1/6*z**b - z**2 - 1/240*z**5 + 0 + 1/24*z**4 + 0*z. Factor c(w).
-(w - 2)**2/4
Let v(g) = 43*g**3 + 67*g**2 - 16*g - 11. Let u(r) = 22*r**3 + 34*r**2 - 8*r - 6. Let i(k) = 11*u(k) - 6*v(k). Suppose i(n) = 0. Calculate n.
-2, 0, 1/4
Let y = 32/3 + -61/6. Find h such that 1/6*h + 1/2*h**2 + 1/6*h**4 + 0 + y*h**3 = 0.
-1, 0
Let 4/3 - 1/3*s**2 + s = 0. What is s?
-1, 4
Find x, given that -5/8*x - 3/8*x**2 + 1/4 = 0.
-2, 1/3
Factor 29*v**3 + 15*v**4 - 5 - 7*v**3 + 18*v**3 + 30*v**2.
5*(v + 1)**3*(3*v - 1)
Let g(l) = 4*l**2 - 10*l + 12. Let w(h) = -5*h**2 + 9*h - 13. Let x(q) = 3*g(q) + 2*w(q). Find d such that x(d) = 0.
1, 5
Determine g, given that 4/7 + 0*g - 12/7*g**2 + 8/7*g**3 = 0.
-1/2, 1
Let v(b) = -b**2 + 5*b - 2. Let s be v(1). Let y(d) be the first derivative of 1/2*d**s - 3 + 1/6*d**3 + 1/2*d. Find f such that y(f) = 0.
-1
Let u(w) be the first derivative of -w**6/24 + w**5/5 - 3*w**4/8 + w**3/3 - w**2/8 - 11. Find t, given that u(t) = 0.
0, 1
Let c be 0/(-1*(-6 + 3)) + 2. Suppose 3/4*l**c - 3/4*l**4 + 1/2*l - 1/2*l**3 + 0 = 0. Calculate l.
-1, -2/3, 0, 1
Let d(j) be the third derivative of 0*j + 0 + 0*j**3 - 4*j**2 - 1/210*j**5 + 1/210*j**6 + 1/735*j**7 - 1/42*j**4. Suppose d(r) = 0. Calculate r.
-2, -1, 0, 1
Suppose -3*z + 15 = 2*z. Determine b so that -4*b**5 - z*b**5 - 3*b + 4*b**5 + 7*b**3 - b**3 = 0.
-1, 0, 1
Let n(w) = -w**4 + w**3 - w**2 + w. Let t(u) = -u**4 + 16*u**3 + 14*u**2 + 16*u + 3. Let a = -13 + 9. Let r(v) = a*n(v) + t(v). Find b such that r(b) = 0.
-1
Let g(d) = -6*d**3 - 26*d**2 + 74*d. Let w(l) = -l**3 - 5*l**2 + 15*l. Let q(u) = 3*g(u) - 14*w(u). Determine h, given that q(h) = 0.
-3, 0, 1
Let c = 2 - 0. Factor 2*s - 16*s**4 - s**2 - 5*s**c + 14*s**4 + 6*s**3.
-2*s*(s - 1)**3
Let i = -3/10 + 4/5. Let g(m) be the first derivative of -i*m + 1/16*m**4 + 1/6*m**3 - 1/8*m**2 + 2. Factor g(y).
(y - 1)*(y + 1)*(y + 2)/4
Let h(p) be the second derivative of -p**7/3780 - 5*p**4/12 - 5*p. Let j(z) be the third derivative of h(z). Factor j(d).
-2*d**2/3
Let d be ((-5)/180)/(-1*4/6). Let o(s) be the third derivative of -1/45*s**5 - 3*s**2 + 1/18*s**3 + 0*s + 0 - d*s**4. Factor o(r).
-(r + 1)*(4*r - 1)/3
Let o(d) be the first derivative of -2*d**5/85 - d**4/34 + 2*d**3/17 + 5*d**2/17 + 4*d/17 - 23. Factor o(g).
-2*(g - 2)*(g + 1)**3/17
Factor 0 + 2/11*n**2 - 2/11*n.
2*n*(n - 1)/11
Factor -3*q + 6 - 4*q**4 + 12*q**2 - 4*q**3 + 2 + 23*q.
-4*(q - 2)*(q + 1)**3
Let i(t) be the second derivative of -2/39*t**3 + 0*t**2 + 1/78*t**4 + 2*t + 0. Suppose i(f) = 0. Calculate f.
0, 2
Let w(k) be the third derivative of -k**7/525 + k**6/300 + k**5/150 - k**4/60 - 3*k**2. Factor w(c).
-2*c*(c - 1)**2*(c + 1)/5
Let s(c) be the second derivative of -c**7/18 - 8*c**6/45 + 31*c**5/60 + 13*c**4/9 + 2*c**3/3 - 20*c. Find k, given that s(k) = 0.
-3, -1, -2/7, 0, 2
Let d be 138/(-14) + (-60)/(-6). Solve -3/7*l**2 - 1/7*l**4 + 3/7*l**3 + 0 + d*l = 0 for l.
0, 1
Find l such that 0 - 2/9*l**2 + 10/9*l = 0.
0, 5
Factor 6/7*j**3 + 0 - 22/7*j**2 - 8/7*j.
2*j*(j - 4)*(3*j + 1)/7
Let h be 2 - -22*(-1)/12. Let g(p) be the third derivative of 0*p + h*p**3 - 1/60*p**5 + 1/24*p**4 + 0 + 2*p**2 - 1/120*p**6. Find s, given that g(s) = 0.
-1, 1
Let n = -20 - -22. Suppose i = -b - b + 15, 4*b - n*i = 10. What is l in 0 - 1/4*l**b + 0*l**3 - 1/2*l**2 + 1/2*l**4 + 1/4*l = 0?
-1, 0, 1
Let m(o) = o - 1. Let t(s) = -2*s**3 - 2*s**2 + 13*s - 9. Let y(v) = -22*m(v) + 2*t(v). Find j, given that y(j) = 0.
-1, 1
Let s = -30 - -32. Factor -2/5*r**s + 0 + 2/5*r**3 + 0*r.
2*r**2*(r - 1)/5
Let o(v) be the second derivative of -v**8/1680 + v**7/600 - v**6/900 - v**3/6 - 2*v. Let a(p) be the second derivative of o(p). Factor a(g).
-g**2*(g - 1)*(5*g - 2)/5
Let h(k) be the first derivative of -2/15*k**3 + 1/60*k**4 + 1/150*k**5 + 0*k - 1 - 3/2*k**2. Let n(w) be the second derivative of h(w). Factor n(o).
2*(o - 1)*(o + 2)/5
Let q(h) = h**3 + 3*h**2 - 2*h - 1. Let l be q(-3). Let d be (-9)/(-3) - l/5. Factor 0*c + 1/3*c**d - 1/3.
(c - 1)*(c + 1)/3
Find a such that -2*a**3 - 1/2*a**5 + 0 - 2*a**4 + 0*a + 0*a**2 = 0.
-2, 0
Factor 1/2*i**5 + 0*i**2 + i**4 + 1/2*i**3 + 0*i + 0.
i**3*(i + 1)**2/2
Solve 1/2*d**2 + 0 - 1/2*d**4 + 0*d + 0*d**3 = 0.
-1, 0, 1
Factor 1/5*s**4 - 4/5*s**3 + 0*s + 4/5*s**2 + 0.
s**2*(s - 2)**2/5
Suppose -3*f - 6 = -6*f. Let s(j) = j + 8. Let p be s(-5). Determine k, given that -k**f + 3*k**2 - k + 4*k**3 - 5*k**p = 0.
0, 1
Let r be 4/16 - 9*1/(-28). Find k, given that -2/7*k**2 - r*k - 2/7 = 0.
-1
Let q(y) be the third derivative of 27*y**7/350 + 27*y**6/200 - 9*y**5/20 + 17*y**4/40 - y**3/5 + 18*y**2. Determine x, given that q(x) = 0.
-2, 1/3
Let o = -60/19 - -376/95. Determine t, given that 4/5*t**2 - 2/5*t**4 - o*t**3 - 2/5 + 2/5*t**5 + 2/5*t = 0.
-1, 1
Suppose -z**4 + 0*z**3 + 7*z + 4*z**3 - 5*z**2 - 5*z = 0. What is z?
0, 1, 2
Let i = -14 + 25. Let q(d) = 8*d**2 + 9*d - 17. Let j(n) = -3*n**2 - 3*n + 6. Let s(o) = i*j(o) + 4*q(o). Suppose s(k) = 0. Calculate k.
1, 2
Let q(u) be the second derivative of 3/14*u**5 + 0*u**2 - 1/7*u**3 + 0 - 4/21*u**4 - 4/105*u**6 + 4*u. Let q(c) = 0. Calculate c.
-1/4, 0, 1, 3
Suppose 0*k - 5*k - t - 47 = 0, 4*t = 12. Let l be (-4)/k - (-8)/5. Let x(u) = u. Let y(v) = v**2. Let z(o) = l*y(o) - 4*x(o). Factor z(b).
2*b*(b - 2)
Let g(a) be the first derivative of a**5/80 - 5*a**4/48 + a**3/3 - a**2/2 + 2*a + 2. Let j(q) be the first derivative of g(q). Factor j(w).
(w - 2)**2*(w - 1)/4
Let x(n) be the first derivative of -48/5*n**5 + 3 + 7*n**3 - 3/2*n**2 - 6*n**4 + 0*n. Suppose x(r) = 0. What is r?
-1, 0, 1/4
Suppose 12*w - 32 = 4. Let s be ((-2)/(-3))/((-4)/(-3)). Factor 1/2*x**w + 3/2*x - 3/2*x**2 - s.
(x - 1)**3/2
Let q(k) = 2*k**2 + k - 1. Let o = -4 + 1. Let w(f) = f + 1. Let r(d) = o*w(d) + q(d). Factor r(t).
2*(t - 2)*(t + 1)
Factor 4*c**2 + 8*c**3 + 4*c**4 - 7*c - 9*c + 16*c.
4*c**2*(c + 1)**2
Let d(l) be the third derivative of -3*l**5/50 + 7*l**4/40 - l**3/10 + 3*l**2. Factor d(n).
-3*(n - 1)*(6*n - 1)/5
Let c be 3667/(-5148) - (-2)/(-13). Let n = 1/44 - c. Factor -10/9*q**3 + 0*q - 2/9*q**5 + n*q**4 + 0 + 4/9*q**2.
-2*q**2*(q - 2)*(q - 1)**2/9
Let r be (-3)/(-4)*492/(-18). Let b = 21 + r. Let -1/2 + c - b*c**2 = 0. What is c?
1
Let a(k) be the first derivative of -4*k**5/5 - 2*k**4 + 4*k**3/3 + 4*k**2 + 9. What is q in a(q) = 0?
-2, -1, 0, 1
Determine o so that -5/2*o**2 - 5/2*o**5 - 5*o + 15/2*o**3 + 5/2*o**4 + 0 = 0.
-1, 0, 1, 2
Let o = -633 + 635. D