actor -16*g - h*g**2 + 119*g**4 + 67*g**3 - 12*g**5 + 4 + 30*g**5 - 10*g**5 + 41*g**5.
(g + 1)**3*(7*g - 2)**2
Suppose -4*a = 6 + 2. Let r = 2 + a. Factor -2/3*p**5 - 8/3*p**2 + r - 8/3*p**4 - 4*p**3 - 2/3*p.
-2*p*(p + 1)**4/3
Find m such that -31*m**3 - m**4 - 3*m**2 + 34*m**3 + m - 48 + 48 = 0.
0, 1
Suppose 2*z = -5*a + 18, 0 = 3*z - 2*a - 5 - 3. Suppose q - 3*q**3 + z*q**2 + q + q**3 + 4*q**3 = 0. What is q?
-1, 0
Let l = 20 + -58/3. Suppose -3 = -4*k + 9. Factor -4/3*c**k - 2*c**4 + 2*c + 2/3 + 4/3*c**2 - l*c**5.
-2*(c - 1)*(c + 1)**4/3
Let l = -51 + 56. Let a(w) be the first derivative of 0*w**2 + 7/9*w**6 + 0*w + 3 - 8/5*w**l + 1/2*w**4 + 4/9*w**3. Factor a(i).
2*i**2*(i - 1)**2*(7*i + 2)/3
Let v(n) be the first derivative of -n**4/8 - 2*n**3/3 - 5*n**2/4 - n - 3. Solve v(z) = 0 for z.
-2, -1
Let v(f) = -f**2 - 6*f - 7. Let p be v(-3). Let l(y) be the first derivative of -y**p - 4/3*y + 1/6*y**4 - 1 + 0*y**3. Suppose l(m) = 0. Calculate m.
-1, 2
Suppose 5*q = 6*q. Let m(n) be the second derivative of q - 1/2*n**2 - 2/3*n**3 - 1/4*n**4 + n. Solve m(y) = 0.
-1, -1/3
Let u be (-2)/(-40)*75/10. Let j(v) be the first derivative of 1/2*v - u*v**2 - 2 + 1/12*v**3. Factor j(o).
(o - 2)*(o - 1)/4
Let g(r) be the third derivative of -1/300*r**5 + 0*r - r**2 - 1/60*r**4 + 0 + 0*r**3. Solve g(l) = 0 for l.
-2, 0
Let m(j) = j**2 - 2. Let a be m(2). Factor -6*g**a + 61*g**3 - 117*g**4 + g**3 - 5*g**3.
-3*g**2*(3*g - 1)*(13*g - 2)
Let l(r) = 5*r**2 + 46*r - 15. Let z(q) = q**2 + 1. Let g(v) = -2*l(v) - 6*z(v). Factor g(y).
-4*(y + 6)*(4*y - 1)
Let w be 0 + (1 - 0) - -1. Let z(o) = o**2 + o - 10. Let t be z(-4). What is l in 0*l**t - l**2 - 1 - 1 - l + w*l**2 = 0?
-1, 2
Let k = 14/11 - 26/55. Factor 0 + 2/5*w + k*w**2 + 2/5*w**3.
2*w*(w + 1)**2/5
Let j(g) be the first derivative of -4/15*g**3 + 2 + 0*g + 2/25*g**5 + 0*g**2 - 1/10*g**4. Factor j(z).
2*z**2*(z - 2)*(z + 1)/5
Factor 1/3*q + 1/3*q**3 - 2/3*q**2 + 0.
q*(q - 1)**2/3
Let q(f) = f**2 - 18*f + 4. Let j = 29 - 11. Let m be q(j). Factor 0*g - 1/5*g**2 - 7/5*g**m - g**3 + 0 - 3/5*g**5.
-g**2*(g + 1)**2*(3*g + 1)/5
Suppose 4*n + h - 3 = 0, -5*h = 4*n - h - 12. Let j(v) be the second derivative of 1/12*v**4 + 0 + 2*v + n*v**2 - 1/12*v**3 - 1/40*v**5. Solve j(a) = 0 for a.
0, 1
Let q(i) = 8*i**2 - 6*i - 13. Let d(x) = 4*x**2 - 3*x - 6. Let g(s) = 7*d(s) - 3*q(s). Let c(l) = -l**2 + l + 1. Let n(b) = -3*c(b) - g(b). Factor n(h).
-h**2
Let w(h) be the second derivative of -h**9/7560 + h**8/3360 + h**7/1260 - h**6/360 - h**4/4 + h. Let m(p) be the third derivative of w(p). Factor m(b).
-2*b*(b - 1)**2*(b + 1)
Suppose -16*v**2 - 128*v - 2/3*v**3 - 1024/3 = 0. What is v?
-8
Suppose 10*n - 5*n = 25. Let m(r) be the third derivative of -r**2 + 0 - 1/672*r**8 + 0*r + 0*r**3 + 1/240*r**6 + 0*r**4 - 1/120*r**n + 1/420*r**7. Factor m(w).
-w**2*(w - 1)**2*(w + 1)/2
Suppose 0 = -2*p - 3*p + 15. Let b(h) = 8*h**4 - 6*h**3 - 10*h**2 + 6*h - 1. Let k(n) = -n**4 + n**3 + n**2 - n + 1. Let x(t) = p*k(t) + b(t). Factor x(s).
(s - 1)**2*(s + 1)*(5*s + 2)
Let k = -275 - -1109/4. What is y in 0*y**3 - k*y**4 + 0 + 3/4*y**5 + 3*y**2 + 0*y = 0?
-1, 0, 2
Let w(r) be the first derivative of -r**5/30 + r**4/8 + r**3/6 - 11*r**2/12 + r + 24. Factor w(l).
-(l - 3)*(l - 1)**2*(l + 2)/6
Suppose 2*t + 4 = 2*i, -2*i + 7*i + 2*t = -4. Solve 2/7*o - 2/7*o**2 + i - 2/7*o**3 + 2/7*o**4 = 0 for o.
-1, 0, 1
Let z(v) be the second derivative of 0 + v + 1/6*v**4 - v**2 + 1/5*v**5 - 2/3*v**3. Find n such that z(n) = 0.
-1, -1/2, 1
Let l(q) = -q**2 + 1. Let i(a) = -a**3 + 11*a**2 - 12*a + 3. Let b(x) = 2*i(x) + 10*l(x). Factor b(g).
-2*(g - 2)**3
Let r(c) be the first derivative of 1/2*c**2 - 1 - 1/48*c**4 + 0*c**3 + 0*c - 1/60*c**5 - 1/240*c**6. Let v(j) be the second derivative of r(j). Factor v(o).
-o*(o + 1)**2/2
Let c(u) be the third derivative of -u**8/1680 - u**3/2 + u**2. Let r(t) be the first derivative of c(t). Let r(y) = 0. Calculate y.
0
Suppose -2*j - 5 = -13. Find s such that s**3 + 2 - 3*s**3 + j*s**2 + s**3 - 5*s = 0.
1, 2
Let z = 19 - 17. What is o in -2*o**2 - o + 2*o**2 + 2*o**2 - o**z = 0?
0, 1
Let a be 4/((-16)/(-3)) - (-33)/(-60). Solve 0*s - a*s**2 + 1/5 = 0 for s.
-1, 1
Suppose v = -4*v. Suppose -4*g = -v*g. Factor -3/5*f**2 + g + 6/5*f**3 - 3/5*f**4 + 0*f.
-3*f**2*(f - 1)**2/5
Suppose -o + 0*f = -f, 4*o = -5*f - 27. Let y be (3 + o/1)/(-2). Factor 4/7*i + y + 2/7*i**2.
2*i*(i + 2)/7
Let t(c) be the first derivative of 0*c - 1/4*c**2 - 6 - 1/6*c**3. Factor t(i).
-i*(i + 1)/2
Let j(z) = -11*z - 2. Let w be j(6). Let o be (-4)/6 - w/12. Factor 0*h**5 - 3*h**5 + h**o.
-2*h**5
Let i = 119/26 - 1/13. Find c, given that -6*c - i*c**4 - 2*c**5 + 5*c**3 + 19/2*c**2 - 2 = 0.
-2, -1/4, 1
Let v(x) be the third derivative of -x**10/10080 + x**9/2520 - x**8/2240 + x**4/24 - 7*x**2. Let z(j) be the second derivative of v(j). Let z(d) = 0. What is d?
0, 1
Let w(h) be the second derivative of -h**6/165 - h**5/110 + h**4/33 - 13*h. Let w(p) = 0. Calculate p.
-2, 0, 1
Factor 8/7*t**3 + 8/7*t + 2/7*t**4 + 12/7*t**2 + 2/7.
2*(t + 1)**4/7
Suppose -8*n + 93 = 77. Factor -3 - 1/3*k**n - 2*k.
-(k + 3)**2/3
Let u(w) = w**3 - 9*w**2 + w - 7. Let d be u(9). Suppose c - 4 = -d. Solve -c*z**5 - 4*z**3 + 3*z - 6*z**2 + z + 2*z**3 + 6*z**4 = 0 for z.
-1, 0, 1, 2
Let o(h) be the third derivative of 0 + 2/21*h**3 + 0*h + 19/420*h**6 - 1/14*h**5 - 1/105*h**7 + 1/84*h**4 + 3*h**2. Determine s so that o(s) = 0.
-2/7, 1
Let x = -13 - -13. Suppose x = 22*a - 19*a - 6. Let -2/5*j + 1/5 + 1/5*j**a = 0. Calculate j.
1
Let t(u) be the third derivative of -3*u**6/40 - u**5/5 + u**4/8 + u**3 + 33*u**2. Factor t(o).
-3*(o + 1)**2*(3*o - 2)
Let l = 221 + -1543/7. Factor 2/7*y**3 - 4/7*y**2 - 2/7*y + l.
2*(y - 2)*(y - 1)*(y + 1)/7
Let h(s) be the second derivative of 0*s**3 + 0 + 0*s**2 - 1/6*s**4 + 4*s. Factor h(n).
-2*n**2
Let z = -6 - -9. Let q(b) = 2*b**4 - 3*b**3 + b**2 - 3*b. Let p(m) = m**4 - 2*m**3 + m**2 - 2*m. Let h(a) = z*p(a) - 2*q(a). Find k, given that h(k) = 0.
-1, 0, 1
Factor -2*m**3 + 6*m + m**3 - 2*m**3 + 3*m**2 + 0*m.
-3*m*(m - 2)*(m + 1)
Suppose -18*q**4 - 8*q**2 + 4*q + 4*q + 5*q**5 + 22*q**3 + 2 - 11*q = 0. What is q?
-2/5, 1
Let m be (-2 + 10/4)*-2. Let z(b) = -2*b**3 + 2. Let h(r) = r**2 - 1. Let t(k) = m*z(k) - 2*h(k). Determine p, given that t(p) = 0.
0, 1
Let b(l) be the second derivative of l**5/90 - l**4/54 + 9*l. Factor b(p).
2*p**2*(p - 1)/9
Let q = 22 + -17. Let u(a) be the second derivative of 0 - a - 1/60*a**q + 1/18*a**3 + 1/6*a**2 - 1/36*a**4. Suppose u(l) = 0. Calculate l.
-1, 1
Let w = 2 - -3. Suppose -3*c + w*k = -35, 3*c - k - 8 = 23. What is y in 5*y**4 + 3*y + c*y**4 + 17*y**2 - 39*y**3 - y**2 + 11*y**2 - 6 = 0?
-2/5, 1
Let k = 25/14 - 593/336. Let q(t) be the second derivative of 0 - 1/12*t**3 - k*t**4 - 3*t - 1/8*t**2. Factor q(c).
-(c + 1)**2/4
Suppose 2/7*x**2 + 0 - 2/7*x**4 - 2/7*x + 2/7*x**3 = 0. What is x?
-1, 0, 1
Let k(w) be the third derivative of w**2 + 0 + 1/120*w**5 + 0*w**4 + 0*w**3 + 1/420*w**7 - 1/120*w**6 + 0*w. Factor k(c).
c**2*(c - 1)**2/2
Let u = 5 + -1. Factor 2*m**2 + 0*m - 6*m + u*m.
2*m*(m - 1)
Suppose 6*l = 19 - 1. Suppose -2/7*o + 2/7*o**l + 0 + 2/7*o**2 - 2/7*o**4 = 0. Calculate o.
-1, 0, 1
Factor 2/3*d**2 + 0 + 0*d**3 + 0*d - 2/3*d**4.
-2*d**2*(d - 1)*(d + 1)/3
Let d(n) be the second derivative of 8*n**6/105 - 11*n**5/35 + 10*n**4/21 - 2*n**3/7 - 26*n + 2. What is c in d(c) = 0?
0, 3/4, 1
Let l = 5 - 1. Suppose l*v - 3*v - 1 = 0. Find w, given that v + 4*w + 0 - 6*w**2 - 18*w**3 - 14*w**3 + w + 32*w**4 = 0.
-1/4, 1/2, 1
Let n(w) = 7*w**2 + 22*w + 25. Let p(l) = -4*l**2 - 11*l - 13. Let q(r) = -6*n(r) - 10*p(r). Suppose q(j) = 0. What is j?
-10, -1
Let d(g) be the first derivative of 3*g**5/5 - 3*g**4 + 4*g**3 + 8. Find h, given that d(h) = 0.
0, 2
Let l(u) be the second derivative of u**7/1680 - u**6/720 - u**5/240 + u**4/48 - u**3/6 + 3*u. Let d(f) be the second derivative of l(f). Factor d(j).
(j - 1)**2*(j + 1)/2
Let n be -1 + 7 + 18/6. Let 14*z**3 + 0*z - 3*z - n*z**3 - 2*z**3 = 0. Calculate z.
-1, 0, 1
Find t such that 12*t + 5*t**3 + 13*t + 2 + 3 + 5 + 20*t**2 = 0.
-2, -1
Let q = -814195/77 - -75860/7. Let g = -263 + q. Determine b, given that 6/11*b**2 + g*b**3 + 0 + 4/11*b = 0.
-2, -