q**4 - 1 + 0*q + 1/30*q**5 - 3/2*q**2. Let r(j) be the second derivative of h(j). Factor r(z).
2*z*(z - 1)
Let j(m) = 144*m**2 + 81*m + 9. Suppose 5*b = u - 13, -b = -5*u - 6 - 1. Let c(g) = g**2 + g + 1. Let y(q) = b*c(q) - j(q). Factor y(p).
-3*(7*p + 2)**2
Let n(b) be the second derivative of 0 - 1/30*b**6 + 0*b**2 - 1/6*b**4 + b + 0*b**3 - 3/20*b**5. Factor n(a).
-a**2*(a + 1)*(a + 2)
Factor -12/5 + 12/5*t**3 - 12/5*t + 3/5*t**4 + 9/5*t**2.
3*(t - 1)*(t + 1)*(t + 2)**2/5
Let x(b) be the third derivative of b**9/7560 - b**7/1260 - b**4/4 - b**2. Let w(y) be the second derivative of x(y). Factor w(d).
2*d**2*(d - 1)*(d + 1)
Let h(f) = 4*f**3 + 8*f**2 + 6*f + 4. Let n(p) = 21*p**3 + 41*p**2 + 30*p + 21. Let x(s) = -22*h(s) + 4*n(s). What is l in x(l) = 0?
-1
Factor 4*w**3 - 6*w**3 - 28 - 58*w**2 - 4 - 5*w**3 - 128*w.
-(w + 4)**2*(7*w + 2)
Let y = -6 - -8. Factor -g - g + 0*g**y + 3*g**2 - 2*g**3 + g**2.
-2*g*(g - 1)**2
Suppose -2*y - 2*c + 2 = 0, 5*y + 0 - 6 = -4*c. Factor 0*x + 1/3*x**y + 0 + 1/3*x**3.
x**2*(x + 1)/3
Let d(r) = r**2 + 12. Let n be d(0). Let u = n + -8. What is h in -h**4 + 3*h**3 - h**3 + u*h**2 - 5*h**2 = 0?
0, 1
Let l(m) be the third derivative of -m**6/120 + m**5/60 + 7*m**2. Solve l(f) = 0 for f.
0, 1
Let s(a) be the first derivative of 5*a**4/4 - 10*a**3/3 - 35*a**2/2 - 20*a + 19. Suppose s(d) = 0. What is d?
-1, 4
Let z(v) be the second derivative of 3*v - 1/480*v**5 - 1/1440*v**6 + 0*v**2 + 0*v**4 + 0 - 1/2*v**3. Let g(s) be the second derivative of z(s). Factor g(r).
-r*(r + 1)/4
Let g(a) = -20*a**4 - 54*a**3 + 74*a**2 + 94*a - 94. Let f(h) = -4*h**4 - 11*h**3 + 15*h**2 + 19*h - 19. Let b(q) = -14*f(q) + 3*g(q). Factor b(u).
-4*(u - 1)**2*(u + 2)**2
Let g(l) be the second derivative of -1/4*l**2 - 6*l - 7/48*l**4 + 3/8*l**3 + 0. Factor g(v).
-(v - 1)*(7*v - 2)/4
Let h(b) be the second derivative of 0*b**2 + 0 + 0*b**4 + 1/15*b**3 - b - 1/50*b**5. Suppose h(u) = 0. What is u?
-1, 0, 1
Let k(i) be the third derivative of 3*i**7/70 - i**6/20 - 3*i**5/20 + i**4/4 + 35*i**2. Factor k(l).
3*l*(l - 1)*(l + 1)*(3*l - 2)
Suppose -5*l = 7 - 57. Suppose -12*x = -l*x. Determine b, given that 1/2*b + 0 + x*b**2 - 1/2*b**3 = 0.
-1, 0, 1
Factor -1/2*d + 3/4*d**2 + 1/8 - 1/2*d**3 + 1/8*d**4.
(d - 1)**4/8
Let j(f) = f**2 + f. Let x be j(-3). Let r(p) be the second derivative of -p - 1/20*p**5 + 0*p**2 + 1/30*p**x + 0 + 0*p**3 + 0*p**4. Factor r(s).
s**3*(s - 1)
Let g(o) = -2*o + 6*o - 5 + 3*o**3 - 17*o**2 + 7*o + 3*o**3. Let b(j) = -9*j**3 + 25*j**2 - 16*j + 7. Let p(f) = 5*b(f) + 7*g(f). Factor p(m).
-3*m*(m - 1)**2
Let x be (-94)/(-6) - 3/(-9). Let u be ((-6)/x)/((-30)/20). Determine d so that 3/4*d**2 + 1/4*d**4 + 0 - u*d - 3/4*d**3 = 0.
0, 1
Let t(l) be the second derivative of 5*l**8/1512 - l**7/315 - l**6/270 + l**2 - 4*l. Let z(q) be the first derivative of t(q). Find w such that z(w) = 0.
-2/5, 0, 1
Let v = 20 - 18. Suppose 0 = -2*y - 3*y. Determine b, given that 0*b + 0*b**v + 2/7*b**4 + y + 0*b**3 - 2/7*b**5 = 0.
0, 1
Let y(w) = -2*w + 2. Let k be y(3). Let x be (k/(-3))/((-30)/(-36)). Suppose -g**2 + 1/5*g**3 - 4/5 + x*g = 0. What is g?
1, 2
Let s be 6/(-21) - (-9)/7. Let y be s/3 - 35/(-21). Factor -2/3*n + 0 - 2/3*n**y.
-2*n*(n + 1)/3
Let v(z) be the first derivative of -4/3*z**3 - 1 - 1/6*z**4 - 2*z - 4*z**2. Let q(c) be the first derivative of v(c). Factor q(f).
-2*(f + 2)**2
Let y(g) = -19*g + 4. Let t be y(7). Let h = -643/5 - t. Factor h*s + 2/5*s**2 - 4/5.
2*(s - 1)*(s + 2)/5
Let d(v) be the third derivative of -v**8/896 - 3*v**7/280 - 7*v**6/160 - v**5/10 - 9*v**4/64 - v**3/8 - 4*v**2. Factor d(x).
-3*(x + 1)**4*(x + 2)/8
Let b(o) be the second derivative of o**5/4 + 5*o**4/12 - 5*o. Solve b(a) = 0 for a.
-1, 0
Factor -2/5*r**2 + 2/5*r + 4/5.
-2*(r - 2)*(r + 1)/5
Let d(j) = -28*j**5 - 37*j**4 - 8*j**3 + 7*j**2 + 3*j. Let n(k) = -k**5 + k**4 - k**3 - k**2 + k. Let i(t) = d(t) - 3*n(t). Factor i(r).
-5*r**2*(r + 1)**2*(5*r - 2)
Let h(u) be the third derivative of u**6/30 + 2*u**5/15 - 2*u**4/3 - 16*u**3/3 + u**2. What is q in h(q) = 0?
-2, 2
Solve -4*h**3 + 5*h - 3*h**2 + 3*h - h**2 = 0.
-2, 0, 1
Let w(c) be the third derivative of 0*c**3 + 3/20*c**5 + 1/4*c**4 + c**2 - 3/10*c**6 + 0 + 0*c + 1/10*c**7. Factor w(t).
3*t*(t - 1)**2*(7*t + 2)
Let h(g) be the second derivative of g**3/3 - g**2/2 + 3*g. Let y be h(2). Determine b so that -34*b - 175/2*b**y - 4 - 95*b**2 = 0.
-2/5, -2/7
Let k(u) be the first derivative of 4*u**5/5 - 17*u**4 + 120*u**3 - 216*u**2 - 864*u + 39. Solve k(d) = 0.
-1, 6
Let u(r) = -r**2 + 5*r + 8. Let p be u(6). Factor 3*d**2 - 2*d**3 + 2*d**3 - d**p + d**3 + d.
d*(d + 1)**2
Let d = -257/42 - -44/7. Let o(l) be the second derivative of -l + 1/6*l**3 - d*l**4 + 0*l**2 + 1/20*l**5 + 0. Suppose o(b) = 0. What is b?
0, 1
Let m(d) be the first derivative of d**6/30 - d**5/20 - d**4/12 + d**3/6 - 3*d - 3. Let g(o) be the first derivative of m(o). Find i, given that g(i) = 0.
-1, 0, 1
Suppose 0 = 2*a - 8 + 4, 2*w + 4*a - 6 = 0. Let u = w + 7. Factor 10*d**4 - 21*d**2 + 6*d**2 - 9*d**2 + 8*d + u*d**3.
2*d*(d - 1)*(d + 2)*(5*d - 2)
Suppose -3*q = 4*i - 6, 3*q + 5*i - 4 = 2. Find f such that -36*f**3 - 3/2*f - 27/2*f**q - 24*f**4 + 0 = 0.
-1, -1/4, 0
Suppose t + 20 = -5*k + 4, -4*t - 4 = 5*k. Determine a, given that -16 + 40*a + 6*a**2 - 74*a**t - 24*a**4 + 8 - 55*a**3 - 85*a**3 = 0.
-1, 2/7
Solve 1/11*x**2 + 2/11 + 3/11*x = 0.
-2, -1
Let x(j) be the first derivative of -j**6/180 - j**5/30 + 4*j**3/3 - 4. Let y(o) be the third derivative of x(o). Factor y(v).
-2*v*(v + 2)
Let v(b) be the second derivative of 0*b**2 + 1/231*b**7 + 10*b - 1/165*b**6 + 0 - 1/110*b**5 + 1/66*b**4 + 0*b**3. Let v(m) = 0. Calculate m.
-1, 0, 1
Suppose 0*u = 4*u. Factor -2*d - 2*d**2 + 0*d**3 + 3*d + d**3 + u*d**2.
d*(d - 1)**2
Let -2*u - 6/5 - 2/5*u**2 + 2/5*u**3 = 0. Calculate u.
-1, 3
Let x be (-637)/(-140) - 4/(-16). Factor 4*m + 2/5*m**4 + 6/5 + 12/5*m**3 + x*m**2.
2*(m + 1)**3*(m + 3)/5
Let j(v) = v - 7. Let d be j(-6). Let y = 18 + d. Determine b so that -2*b**3 - 2*b**y + 3*b**3 + 4*b**4 + 3*b**3 - 6*b**3 = 0.
0, 1
Let -39*f - 12*f**2 + 16 - 19 - 24 = 0. What is f?
-9/4, -1
Let z = 3/61 - -89/671. Determine j so that -z + 6/11*j - 6/11*j**3 + 2/11*j**2 = 0.
-1, 1/3, 1
What is j in 23*j - 1 + 8 + 27*j**3 - 39*j - 3 - 15*j**2 = 0?
-2/3, 2/9, 1
Let s(k) be the third derivative of -k**5/120 + 7*k**4/48 - k**3/2 - 32*k**2. Find x such that s(x) = 0.
1, 6
Let q(w) = 2*w**2 - 2*w - 1. Let c be q(2). Suppose -c*f = -5*f. Suppose f + 0*n + 2/9*n**2 + 2/9*n**3 = 0. What is n?
-1, 0
Let x(r) be the third derivative of 0*r - 2/105*r**5 + 0*r**3 - 1/140*r**6 + r**2 - 1/84*r**4 + 0. Factor x(l).
-2*l*(l + 1)*(3*l + 1)/7
Let k = -1/53 - -59/318. Let u(t) be the second derivative of 2*t**2 + 0 + 1/3*t**3 + 2*t - k*t**4. Factor u(q).
-2*(q - 2)*(q + 1)
Let x(r) = 2*r**3 - 2*r**2 + r - 4. Let j be x(3). Let c be (-2 + j/15)/1. Factor 2/3*k**2 - 1/3*k**3 + c*k - 2/3.
-(k - 2)*(k - 1)*(k + 1)/3
Let r be (-3)/1 + 34/10. Let a be 9/6 - (-22)/(-20). Factor a + 8/5*c**3 + 8/5*c + r*c**4 + 12/5*c**2.
2*(c + 1)**4/5
Suppose -20*f = -16*f - 8. Let s be ((-5)/45)/(f/(-6)). Factor 0 + 1/3*n**2 - s*n - 1/3*n**4 + 1/3*n**3.
-n*(n - 1)**2*(n + 1)/3
Let q = 1/10 - -2/5. Let i(d) be the first derivative of -1/2*d + 2 - q*d**2 - 1/6*d**3. Solve i(h) = 0.
-1
Factor -3/2 - 3/4*v + 3/4*v**2.
3*(v - 2)*(v + 1)/4
Suppose -48 + 11*n - 14*n - 21*n - 3*n**2 = 0. What is n?
-4
Let x(p) = 7*p**4 - 7*p**3 - 6*p**2 + 12*p + 9. Let a(d) = -9*d**4 + 6*d**3 + 6*d**2 - 12*d - 9. Let t(o) = -5*a(o) - 6*x(o). Suppose t(g) = 0. What is g?
-3, -1, 1
Let b(s) be the second derivative of 2*s**7/105 + 8*s**6/75 + 6*s**5/25 + 4*s**4/15 + 2*s**3/15 - 31*s. Factor b(j).
4*j*(j + 1)**4/5
Let k(i) = -3*i**3 + i**2 + 11*i + 2. Let m(j) = -2*j**3 + 6*j + 1. Let x(a) = 3*k(a) - 5*m(a). Solve x(n) = 0.
-1
Let h = 132 - 656/5. Determine r so that -2/5*r**2 - h*r - 2/5 = 0.
-1
Let q(s) = -s**3 - 7*s**2 - s - 3. Let a be q(-7). Let p(c) = -13*c**2 - 24*c - 31. Let l(r) = -7*r**2 - 12*r - 16. Let d(f) = a*p(f) - 7*l(f). Factor d(u).
-3*(u + 2)**2
Suppose -5*i - 45 = -8*i. Let v = 109/7 - i. Solve 2/7*c + v - 2/7*c**2 = 0 for c.
-1, 2
Let -10*q + 14*q**3 - 8*q**4 + 2*q + 6*q - 4*q**2 =