 + w**5/15 + w**4/6 + w**3 - 13*w**2. Let v(r) be the first derivative of s(r). Factor v(b).
(b + 1)*(b + 2)**2
Let l be (-81)/36*2/(-9). Let h be 2/8*-10 - -3. Factor -g - l - h*g**2.
-(g + 1)**2/2
Let h(b) be the third derivative of -b**7/1155 + b**6/60 - 6*b**5/55 + 4*b**4/33 + 64*b**3/33 - 313*b**2. Find i such that h(i) = 0.
-1, 4
Let d(x) be the second derivative of 17*x**5/80 - 3*x**4/8 - 11*x**3/8 + x**2/4 + 7*x + 3. Solve d(v) = 0 for v.
-1, 1/17, 2
Suppose 0 = 4*y - 4*a + 2339 + 4669, -4*a - 3522 = 2*y. Let t be (-8)/(-10)*y/(-18). Determine q, given that -100*q**3 + 1 + 2 + 5 + 130*q**2 + 22*q - t*q = 0.
2/5, 1/2
Factor 3*q - 30 + 37*q + 25*q - 60*q**2 + 20*q.
-5*(3*q - 2)*(4*q - 3)
Solve -9/5*a**4 + 0 + 36/5*a + 27/5*a**3 + 69/5*a**2 - 3/5*a**5 = 0.
-4, -1, 0, 3
Let g(q) be the first derivative of -12 - 1/3*q**2 + 0*q - 8/9*q**3. Factor g(f).
-2*f*(4*f + 1)/3
Let w(k) = k**3 + 31*k**2 + 32*k + 60. Let j be w(-30). Let d be (-2 + j - -5)/((-105)/(-28)). Factor 0*t + 2/5*t**5 - 6/5*t**4 + 0*t**2 + 0 + d*t**3.
2*t**3*(t - 2)*(t - 1)/5
Suppose -y = -4*u + 24, 2*y - 2*u = 2*u - 28. Let z(v) = -v + 1. Let t(s) = -s**2 + 6*s + 1. Let m(a) = y*t(a) - 12*z(a). Factor m(x).
4*(x - 4)*(x + 1)
Suppose 6*n = n - 3*g + 21, 10 = 5*g. Factor -12*h**4 - 69*h**5 + 2*h**4 + 23*h**5 + 5*h**n + 31*h**5.
-5*h**3*(h + 1)*(3*h - 1)
Suppose 2*v = -4*n, 0 = -11*n + 13*n + 4*v. Let p(u) be the second derivative of 1/30*u**4 + n*u**2 - 1/15*u**3 + 0 + 6*u. Solve p(d) = 0 for d.
0, 1
Let x = -2/69 - -79/345. Let s = 27 + -27. What is j in 1/5*j + s + x*j**2 = 0?
-1, 0
Suppose 0*v - 40 = -5*v - 5*v. Find y such that -48/5*y**2 + 4*y - 4*y**3 - 2/5 + 10*y**v = 0.
-1, 1/5, 1
Let s(j) = j**3 + 2*j**2 - 3*j + 1. Let g be s(2). Let w = g + -1. Let -z**2 + 3 - 8*z - w - 9 = 0. Calculate z.
-4
Let d(w) = 48*w**2 + 540*w - 69. Let r(u) = -47*u**2 - 538*u + 70. Let s(t) = 2*d(t) + 3*r(t). Solve s(g) = 0 for g.
-12, 2/15
Factor 280*w**2 - 20*w + 180*w - 17*w**4 + 180*w**3 + 5*w**5 + 67*w**4.
5*w*(w + 2)**3*(w + 4)
Let h = -1654 - -1657. Let j(z) be the second derivative of 0*z**h + 1/80*z**5 + 0 + 1/120*z**6 - 1/168*z**7 - 1/48*z**4 + 10*z + 0*z**2. What is b in j(b) = 0?
-1, 0, 1
Let g(d) = -2 - 10*d - 5 - 19*d**2 - 10*d. Let s(b) = 132*b**2 + 140*b + 48. Let j be 20 + -17 + 34/2. Let y(r) = j*g(r) + 3*s(r). Solve y(k) = 0 for k.
-1, -1/4
Factor -7*j**3 - 5*j**4 + j**2 + 18*j**3 + 4*j**2 - 5*j - 6*j**3.
-5*j*(j - 1)**2*(j + 1)
Let r(a) = 11*a**2 + 3*a. Suppose 2*i = 2*y + 2, 5*i = -y + 2 + 21. Let h(g) = 10*g**2 + 3*g. Let v(b) = i*r(b) - 5*h(b). Factor v(l).
-3*l*(2*l + 1)
Let r be 3 - 32/12 - 626/6. Let h = r + 419/4. Factor -3/4*k**2 + 0*k + h.
-3*(k - 1)*(k + 1)/4
Let n be (-1 - (-3 + 1)) + 1244/10. Let f = n + -125. Factor f - 1/5*l**3 + l + 3/5*l**2 - 1/5*l**4.
-(l - 2)*(l + 1)**3/5
Let b(q) = 6*q**2 + 40*q + 42. Let s(z) = -2*z**2 - 13*z - 14. Let w(o) = 3*b(o) + 8*s(o). Factor w(y).
2*(y + 1)*(y + 7)
Let p(o) be the second derivative of -o**6/150 - 107*o**5/25 - 11449*o**4/10 - 2450086*o**3/15 - 131079601*o**2/10 + 2*o - 101. Factor p(k).
-(k + 107)**4/5
Let d(s) = -s**2 + 5*s + 3. Let l(k) be the first derivative of -1/3*k**3 + 5*k + 10 + 9/2*k**2. Let z(o) = -5*d(o) + 3*l(o). Determine j, given that z(j) = 0.
-1, 0
Suppose -4 = 7*c - 9*c + 4*d, -c = -d - 3. Let y(l) be the third derivative of 1/210*l**5 + 0*l**c + 0 - 4/21*l**3 + 6*l**2 + 0*l. Factor y(m).
2*(m - 2)*(m + 2)/7
Let o(m) be the third derivative of 1/165*m**5 + 0 + 1/165*m**6 + 0*m - 8/1155*m**7 - 14*m**2 + 0*m**3 - 1/132*m**4. Factor o(l).
-2*l*(2*l - 1)**2*(2*l + 1)/11
Let z(a) = -15*a**4 + 25*a**3 + 25*a**2 - 20*a + 5. Let s(p) = -22*p**4 + 37*p**3 + 37*p**2 - 30*p + 8. Let c(b) = -5*s(b) + 8*z(b). Solve c(j) = 0 for j.
-1, 0, 1/2, 2
Let i(f) = -f**2 - 6*f - 4. Let n be i(-4). Suppose a = n*a - a. Factor 2/3*k**3 - 1/3*k + 0*k**4 + a*k**2 + 0 - 1/3*k**5.
-k*(k - 1)**2*(k + 1)**2/3
Let h(c) be the second derivative of -c**8/6720 - c**7/840 - c**6/360 - 5*c**4/12 - 9*c. Let i(k) be the third derivative of h(k). Factor i(g).
-g*(g + 1)*(g + 2)
Suppose 9*p + 12*p + 97*p = -7*p. Let 6/7*t**2 + 0 + p*t + 2/7*t**3 = 0. Calculate t.
-3, 0
Let a = -115 - -103. Let i be (-1)/((-30)/a)*-10. Factor -1/2*k**i + 0*k**3 + k**2 - 1/2 + 0*k.
-(k - 1)**2*(k + 1)**2/2
Let d(s) = s**2 + 3*s - 8. Let q be d(4). Suppose 4*r + 5*h - 24 = 2*r, 5*h = q. Factor 16*y - y**2 - 8 - y**2 - 2*y**r - 8.
-4*(y - 2)**2
Find d, given that -24/11 + 136/11*d + 18/11*d**3 - 130/11*d**2 = 0.
2/9, 1, 6
Let -64/9*q**2 - 74/9*q**3 + 0 + 14/9*q**4 + 8/3*q = 0. Calculate q.
-1, 0, 2/7, 6
Suppose 640 + 2/5*f**2 + 32*f = 0. Calculate f.
-40
Let s(g) = -4*g**5 - 2*g**4 + 4*g**2 - 4*g - 6. Let t(c) = c**5 - c**3 + c**2 + 1. Let k(l) = -s(l) - 6*t(l). Let k(u) = 0. What is u?
-2, 0, 1
Let c = -311 - -327. Suppose -7*i + c = i. Solve -128/3 - 32*y - 8*y**i - 2/3*y**3 = 0.
-4
Let j be 9/36 - (4/48)/(3/(-51)). Factor 0 + 3*x**2 + x**3 + j*x - 1/3*x**4.
-x*(x - 5)*(x + 1)**2/3
Let x(c) be the first derivative of 2*c**2 - 1/72*c**6 + 0*c + 1/15*c**5 + 5 - 1/8*c**4 + 1/9*c**3. Let o(z) be the second derivative of x(z). Factor o(g).
-(g - 1)**2*(5*g - 2)/3
Determine k so that -4/9 + 10/9*k + 2/9*k**3 - 8/9*k**2 = 0.
1, 2
Let k(a) be the second derivative of 1/105*a**7 - 3/50*a**5 + 1/15*a**4 + 0 + 0*a**2 + 0*a**6 - 18*a + 0*a**3. Find z, given that k(z) = 0.
-2, 0, 1
Let c(t) = t**2 + 2*t - 31. Let s be c(-7). Determine k so that 0*k + 2/3*k**s + 2/3*k**2 + 0 - 4/3*k**3 = 0.
0, 1
Let q = -91 - -92. Let p(o) = -2*o**3 + o**2. Let j(z) = 12*z**3 + 50*z**2 + 88*z + 32. Let c(s) = q*j(s) + 2*p(s). Suppose c(l) = 0. Calculate l.
-4, -2, -1/2
Let c be 51490/4550 + -11 - 4/14. Let j = c - -112/585. Find v, given that j*v**3 + 2/9*v**2 + 0 - 4/9*v = 0.
-2, 0, 1
Suppose 4*z = 3*w - 175, 0*w - 3*w - 5*z = -166. Let j = w + -227/4. Suppose -5/4*n**2 - 7/4*n**3 - 3/4*n**4 + 0 - j*n = 0. Calculate n.
-1, -1/3, 0
Let i = 121 - 119. Let a(p) be the second derivative of 9/2*p**i - p + 1/3*p**4 + 2*p**3 + 0. Let a(v) = 0. Calculate v.
-3/2
Let j(w) be the second derivative of 3/10*w**5 - 1/14*w**7 - 3*w**2 - 1/2*w**3 + 0 + 47*w - 1/5*w**6 + w**4. Let j(m) = 0. Calculate m.
-2, -1, 1
Let f be 0/(-3) - (-9)/3. Find k such that -2/15 - 8/15*k - 4/5*k**2 - 8/15*k**f - 2/15*k**4 = 0.
-1
Let o = -20 - -24. Suppose -18*m + 10*m + o*m**2 + 63 - 43 - 16*m = 0. Calculate m.
1, 5
Let q(a) be the second derivative of a**5/5 - 2*a**4/3 - a - 135. Solve q(k) = 0.
0, 2
Let s(k) be the third derivative of k**9/2520 - k**8/700 + k**7/700 - 5*k**3/6 + 17*k**2. Let r(z) be the first derivative of s(z). Let r(x) = 0. Calculate x.
0, 1
Let f be -7 + (-15 - 16)/(52/(-12)). Factor 0 - 2/13*y + f*y**3 + 2/13*y**4 - 2/13*y**2.
2*y*(y - 1)*(y + 1)**2/13
Let 3/2*a**5 + 1/2 + 1/2*a**4 - 3*a**3 - a**2 + 3/2*a = 0. Calculate a.
-1, -1/3, 1
Let z(u) be the first derivative of 3*u**5/5 + 77*u**4/4 + 250*u**3/3 + 86*u**2 - 88*u + 188. Factor z(w).
(w + 2)**2*(w + 22)*(3*w - 1)
Factor 0 + 14*r**2 + 2/5*r**3 + 0*r.
2*r**2*(r + 35)/5
Let u(c) = 2705*c**2 - 255 - 230 - 43*c - 1585*c**3 + 3*c + 965*c. Let k(w) = -72*w**3 + 123*w**2 + 42*w - 22. Let z(l) = 45*k(l) - 2*u(l). Solve z(q) = 0.
-1/2, 2/7, 2
Let x(g) be the third derivative of -1/200*g**6 + 0*g + 18*g**2 + 0 + 0*g**5 + 3/40*g**4 + 1/5*g**3. Solve x(z) = 0.
-1, 2
Let f(y) be the first derivative of y**6/45 + y**5/10 + y**4/9 + 12*y - 15. Let m(z) be the first derivative of f(z). Factor m(l).
2*l**2*(l + 1)*(l + 2)/3
Let a(c) = 9*c**2 - 57*c - 63. Let u(g) = 16*g**2 - 115*g - 126. Let d(s) = -5*a(s) + 3*u(s). Suppose d(r) = 0. Calculate r.
-1, 21
Suppose -2*l - 43 = -5*u + l, 4*u + 4*l - 28 = 0. Suppose h + 2*h = -2*x + u, -3 = x - 2*h. Factor 3*i - 9*i - x + 5 + 2*i**3.
2*(i - 1)**2*(i + 2)
Let k(p) = 2*p + 8 - 12 + 5 + 0*p. Let z be k(2). What is y in 8/3*y**2 + 0 - 49/3*y**z + 42*y**4 - 20*y**3 + 0*y = 0?
0, 2/7, 2
Let n(t) be the first derivative of 0*t + 4/35*t**5 + 1 + 0*t**3 + 1/21*t**6 + 1/14*t**4 + 0*t**2. Factor n(h).
2*h**3*(h + 1)**2/7
Let c(y) be the second derivative of y**6/10 - 3*y**5/20 - 5*y**4/4 - 3*y**3/2 + 60*y. Factor c(z).
3*z*(z - 3)*(z + 1)**2
Let l(q) be the first derivative of -2*q**3/15 - 33*q**2/5 + 28*q + 117. 