*q**5 = 0. Calculate q.
-2, 1
Let c(w) = -4*w**3 + 71*w**2 - 49*w - 11. Let j(x) = x**3 - 14*x**2 + 10*x + 2. Let t(d) = -2*c(d) - 11*j(d). Factor t(g).
-3*g*(g - 2)**2
Let w be 2/(-9) + (-3248)/(-5220). Let 0 - w*b**2 - 2/5*b = 0. Calculate b.
-1, 0
Let x(r) = -r**5 - r**4 - r**3 + r**2 - 1. Let t(k) = k**5 + 9*k**4 + 19*k**3 + 21*k**2 + 10*k + 1. Let i(b) = 2*t(b) - 2*x(b). Solve i(q) = 0 for q.
-1
Suppose -z = -5 + 3. Find n such that -6/7*n - 2/7*n**z - 4/7 = 0.
-2, -1
Let y be (-1 - 6) + 713/92. Find v, given that 0 - 1/2*v**2 - 1/4*v**3 + y*v = 0.
-3, 0, 1
What is w in 4/3*w**2 + 1024/3 - 128/3*w = 0?
16
Let n(o) be the third derivative of o**5/240 + o**4/96 - o**3/12 + 9*o**2. What is j in n(j) = 0?
-2, 1
Suppose 3*o = -o - 4*d - 16, 4*d + 16 = -3*o. Let m(l) be the first derivative of 1 - 1/4*l**4 + 0*l**2 + 1/3*l**3 + o*l. Find c, given that m(c) = 0.
0, 1
Suppose 5*w - 12 = 3*m - 0, 16 = -3*w - 4*m. Let h(r) be the first derivative of 2 - 8/9*r**3 + w*r - 1/3*r**2. Factor h(i).
-2*i*(4*i + 1)/3
Let j(n) be the first derivative of -n**6/360 - n**5/45 - 5*n**4/72 - n**3/9 + n**2/2 + 2. Let v(c) be the second derivative of j(c). What is r in v(r) = 0?
-2, -1
Let h be (-2)/(-2)*(-2 + 4) + -2. Let w(d) be the third derivative of 1/144*d**6 - d**2 + 0*d**3 + 1/180*d**5 + h*d + 0 - 1/180*d**7 + 0*d**4. Factor w(y).
-y**2*(y - 1)*(7*y + 2)/6
Let i(m) = -14*m**2 - 20*m + 8. Let b(q) = 9*q**2 + 13*q - 5. Let z = -8 + 11. Let w be (z + -7)/(2/4). Let f(g) = w*b(g) - 5*i(g). Factor f(k).
-2*k*(k + 2)
Let r(l) = 8*l**2 - 6*l + 16. Let t(a) = 0 + a**2 - 2*a**2 - 1. Let g(o) = -3*r(o) - 21*t(o). Determine x so that g(x) = 0.
3
Let i = 12 - 12. What is m in 4/3*m**3 + i + 2*m**2 + 2/3*m = 0?
-1, -1/2, 0
Determine y, given that 14*y**2 - 4*y**2 + 4*y - 6*y**4 - 2*y**3 - 4*y**2 + 0*y**3 - 2*y**5 = 0.
-2, -1, 0, 1
Let 6/7*c + 4/7*c**2 + 0 - 2/7*c**3 = 0. What is c?
-1, 0, 3
Let r(n) be the second derivative of n**5/5 - 2*n**3/3 - 9*n. Solve r(i) = 0 for i.
-1, 0, 1
Let g(d) be the second derivative of d**7/14 + d**6/5 - d**4/2 - d**3/2 + 7*d. Factor g(l).
3*l*(l - 1)*(l + 1)**3
Let y(f) be the second derivative of f**8/504 - f**6/180 - 4*f**2 - 4*f. Let z(i) be the first derivative of y(i). Factor z(h).
2*h**3*(h - 1)*(h + 1)/3
Let g(z) be the second derivative of -3*z**5/5 - 5*z**4/6 + z**3/3 - 2*z. Find w, given that g(w) = 0.
-1, 0, 1/6
Let j(f) be the first derivative of -1/30*f**5 + 2 + 1/24*f**4 + 2*f**2 + 0*f**3 + 1/120*f**6 + 0*f. Let x(r) be the second derivative of j(r). Factor x(m).
m*(m - 1)**2
Let p(b) = -b**3 - 2*b**2 - b - 7. Let y be p(-3). Let s(l) be the third derivative of 1/30*l**y + 1/3*l**3 - 2*l**2 + 0 - 1/6*l**4 + 0*l. Factor s(t).
2*(t - 1)**2
Let g(l) be the first derivative of -9/20*l**4 + 9/10*l**2 + 2/5*l + 1 - 2/15*l**3. Let g(o) = 0. Calculate o.
-1, -2/9, 1
Let b be (3/2)/((45/80)/1). Find d, given that -2*d**3 + 1/3*d - b*d**4 + 0 - d**5 + 0*d**2 = 0.
-1, 0, 1/3
Let l(x) be the second derivative of -5*x**4/4 + 3*x**3 - 15*x**2/2 + x. Let o(u) = 6*u**2 - 7*u + 6. Let n(f) = -5*l(f) - 12*o(f). Factor n(v).
3*(v - 1)**2
Factor 22*y - 3*y**2 - 3*y**4 - 22*y - 6*y**3.
-3*y**2*(y + 1)**2
Let q(l) be the third derivative of l**8/2016 - l**6/240 - l**5/180 + 27*l**2. Determine r, given that q(r) = 0.
-1, 0, 2
Factor 98/11*p - 28/11*p**2 + 2/11*p**3 + 0.
2*p*(p - 7)**2/11
Suppose 2*k - k + v - 7 = 0, 2*v - 4 = 3*k. Factor 2 - 3*b**2 + 2*b - 2*b**3 + k*b**2 - b**2.
-2*(b - 1)*(b + 1)**2
Let s be 29/48 + 2*15/(-50). Let b(u) be the third derivative of 0 + 3*u**2 - s*u**6 + 0*u + 0*u**4 - 1/120*u**5 + 0*u**3. Determine y, given that b(y) = 0.
-1, 0
Let o(t) = 2*t - 4. Let a be o(4). Let u(b) = -2*b + 3*b + b**2 - a*b. Let x(l) = 4*l**2 - 12*l - 1. Let d(y) = 9*u(y) - 2*x(y). Factor d(s).
(s - 2)*(s - 1)
Let z(v) = v**2 - 1. Suppose -11 = 4*u - 3. Let c be z(u). Factor -3*d - d**c + 2 - 6 - 3*d**2 + 3.
-(d + 1)**3
Let h be (-56)/(-10) + ((-12)/(-5) - 3). Let p(r) be the third derivative of 2/15*r**3 + 0 + 1/300*r**h + 3*r**2 - 1/30*r**4 + 0*r. Let p(z) = 0. What is z?
2
Let t(o) = -14 + 24*o**2 + 9*o - 27 - 7. Let x(r) = 3*r**2 + r - 6. Let i(w) = -4*t(w) + 33*x(w). Find c such that i(c) = 0.
-1, 2
Let u be -10*1/84*(-3)/225. Let k(r) be the third derivative of -u*r**7 - 1/180*r**5 + 0*r + 0*r**4 - 2*r**2 + 0 + 0*r**3 - 1/180*r**6. Factor k(c).
-c**2*(c + 1)**2/3
Suppose 9*n**2 - 2 + 2*n**3 - 9 + n**3 - 3*n + 2 = 0. What is n?
-3, -1, 1
Let g(c) = -8*c**5 + 11*c**4 + 6*c**3 - 12*c**2 + 2*c + 6. Let r(a) = -7*a**5 + 10*a**4 + 6*a**3 - 12*a**2 + a + 6. Let y(j) = 4*g(j) - 5*r(j). Solve y(s) = 0.
-1, 1, 2
Suppose v - 2 = -0. Let -a**4 - v*a**4 - 2*a**3 - a**3 = 0. Calculate a.
-1, 0
Let h be 111/(-112) - (-1)/1. Let f = 215/1008 + h. Solve 0*q**2 - f*q**3 + 0*q + 0 = 0 for q.
0
Let m be (-2)/(-9) - (-104)/18. Let u be (-1 + 5)*m/84. Factor 0*q**3 + 0 + 0*q**2 + 2/7*q**5 + u*q**4 + 0*q.
2*q**4*(q + 1)/7
Let w = -1432 - -64448/45. Let i(m) be the second derivative of w*m**6 - 1/21*m**7 + 0*m**2 + 1/9*m**4 - m + 0 - 7/30*m**5 + 0*m**3. Find c such that i(c) = 0.
0, 2/3, 1
Let s(u) be the third derivative of 0 + 0*u**3 + 0*u - 1/12*u**4 + 1/30*u**5 + 6*u**2. Suppose s(m) = 0. Calculate m.
0, 1
Let c be 4/3*6/4. Factor 2*g + c*g**5 + 4*g**4 + g**5 - 4*g**2 - 4*g**5 - g**5.
-2*g*(g - 1)**3*(g + 1)
Let p be 39/(-65)*5/(-9). Factor p*l**2 - 1/3 + 0*l.
(l - 1)*(l + 1)/3
Let v be (42/(-56))/(6/(-4)). Factor -u - v*u**2 - 1/2.
-(u + 1)**2/2
Let o(s) be the first derivative of 9/2*s**2 - 6*s - s**3 - 6. Find h, given that o(h) = 0.
1, 2
Let y(r) be the second derivative of -r**7/15 + 3*r**6/20 - r**5/15 - r**2/2 + 2*r. Let u(x) be the first derivative of y(x). Let u(t) = 0. Calculate t.
0, 2/7, 1
Let c(v) = 4*v**5 - v**4 - 3*v**3 - 3*v**2 - 3*v + 3. Let h(l) = 5*l**5 - l**4 - 4*l**3 - 4*l**2 - 4*l + 4. Let a(g) = -4*c(g) + 3*h(g). Factor a(t).
-t**4*(t - 1)
Let f(m) = -4 - 2*m**3 - m**2 + 0*m**3 + 3*m**3 + 2*m. Let c(p) = p**3 - p**2 + p - 3. Let z(h) = 4*c(h) - 3*f(h). Find r, given that z(r) = 0.
-1, 0, 2
Suppose -3*j + 2*j = -2*t + 12, -5*t = -4*j - 57. Let r be 4/j - (-12)/54. Factor 2/9*s**2 + 2/9*s**3 + 0*s + r.
2*s**2*(s + 1)/9
Let g(x) = 0*x**4 - x**4 - 1 - 2*x**2 + 2*x**4 - 2*x**4 + 4*x. Let h(u) = -3*u**4 + u**3 - 7*u**2 + 13*u - 4. Let i(p) = 14*g(p) - 4*h(p). Factor i(a).
-2*(a - 1)*(a + 1)**3
Let q(j) = j - 13. Let u be q(13). Let v(b) be the second derivative of 2*b + 1/6*b**5 + 1/18*b**4 + 0*b**2 + 0 + 1/21*b**7 + 7/45*b**6 + u*b**3. Factor v(r).
2*r**2*(r + 1)**2*(3*r + 1)/3
Let i = 45 - 43. Factor 4/3 - 2/3*a + i*a**3 - 8/3*a**2.
2*(a - 1)**2*(3*a + 2)/3
Let x(o) be the third derivative of -o**8/70560 + o**6/2520 - o**5/30 - 4*o**2. Let k(d) be the third derivative of x(d). Let k(w) = 0. What is w?
-1, 1
Let p(g) = g**2. Let d(c) = 9*c**2 + 3*c. Let n(z) = -d(z) + 6*p(z). Suppose n(s) = 0. Calculate s.
-1, 0
Suppose -4*v = 3*l + 12, 2*v + 0 = 3*l + 12. Let t(c) be the second derivative of -c - 1/48*c**4 + 1/120*c**6 + v + 1/80*c**5 + 0*c**2 - 1/24*c**3. Factor t(f).
f*(f - 1)*(f + 1)**2/4
Let g be 0/(0 - (-2 + 1)). Determine b, given that 2/7 - 8/7*b**5 - 30/7*b**4 - 20/7*b**2 + g*b - 40/7*b**3 = 0.
-1, 1/4
Let o(q) be the second derivative of -1/2*q**2 + 8*q + 1/12*q**4 + 0*q**3 + 0. Factor o(m).
(m - 1)*(m + 1)
Suppose 3*q + 48 = q. Let o be 12/(-56)*q/9. Find i, given that 2/7*i**2 + 0 - o*i = 0.
0, 2
Let x(b) = -2*b - 12. Let q be x(-9). Suppose 3*c + 0*c + 18 = 5*i, 3*c + q = i. Let -2*w**3 + 2*w**3 - 2*w**i + 2*w = 0. What is w?
-1, 0, 1
Let u = -50 + 50. Let o(t) be the first derivative of 1/4*t - 1/12*t**3 + 2 + u*t**2. Solve o(s) = 0 for s.
-1, 1
Let n be 0 + -2 - (6 - 0). Let i be (-5)/2*n/10. Factor 3 - 2*q**4 - 4*q**4 - 4 + 2*q**i + 5*q**4.
-(q - 1)**2*(q + 1)**2
Let s be 5 + 58/(-8) + 3. Factor 0*d + 0*d**2 + 0 + 1/2*d**3 + s*d**4.
d**3*(3*d + 2)/4
Let u(r) be the first derivative of 12*r**5/5 - 15*r**4/4 + r**3 + 1. Suppose u(v) = 0. Calculate v.
0, 1/4, 1
Suppose 0 = -f - 0 + 9. Let h = f - 7. Suppose -2/5*a + 0 + 2/5*a**h = 0. What is a?
0, 1
Let q be ((-1)/2)/(3/(-18)). Suppose 0 = v - 4*x - 6, -q*x + x = -5*v + 12. Factor 0*z + 2/7*z**v + 2/7*z**5 - 2/7*z**3 + 0 - 2/7*z**4.
2*z**2*(z - 1)**2*(z + 1)/7
Let d(