*2. Factor q(w).
-2*(w - 1)**2*(w + 1)/3
Let a = 15 - 11. Let c be 6/(-8) + 3/a. Factor 2 - t**2 - 2*t + 3*t + c.
-(t - 2)*(t + 1)
What is c in 105*c + 3*c**2 + 47*c + 51*c + 16*c = 0?
-73, 0
Let k(w) be the third derivative of w**7/840 - w**6/120 + w**5/60 + 2*w**2 + 19*w. Solve k(f) = 0 for f.
0, 2
Factor 7 + 62*o + 7 - 6 - 5*o**2 + 7 - 52*o.
-5*(o - 3)*(o + 1)
Let d(r) be the second derivative of -r**6/15 + r**4/2 - 2*r**3/3 + 12*r. Factor d(k).
-2*k*(k - 1)**2*(k + 2)
Let h = -28 + -413. Let k = 690 + h. Suppose k*l - 12 - 2082*l**2 + 771*l**2 - 9*l + 1083*l**3 = 0. What is l?
2/19, 1
Let n(u) = 12*u - 36. Let i be n(3). Suppose i = 4*g - 0*g. Factor -4/5*w**5 + 0*w**2 + 0 + 4/5*w**3 + 0*w + g*w**4.
-4*w**3*(w - 1)*(w + 1)/5
Suppose -o - 5 = 5*n, -3*n + 15 = -3*o + n. Let m be 10*(2 - (-8)/o). Factor 0*z**4 - 2*z**2 - 2*z + 2*z**m - z**3 - 9*z**3 + 12*z**3.
2*z*(z - 1)*(z + 1)**2
Let f(g) be the first derivative of -g**4/6 + 10*g**3/3 + 16*g**2/3 - 284. Determine i, given that f(i) = 0.
-1, 0, 16
Let x(s) be the first derivative of 13 - 1/18*s**4 + 0*s - 1/9*s**2 + 4/27*s**3. What is k in x(k) = 0?
0, 1
Let q be (4/16)/((-65)/(-52)). Let r(b) be the second derivative of 0*b**3 + q*b**2 - 1/30*b**4 - 2*b + 0. Determine u, given that r(u) = 0.
-1, 1
Suppose 5*x - 4*x + 3*q = -4, 0 = -2*x + 3*q + 19. Let l = 57/11 - x. Find p, given that -l*p - 4/11*p**2 + 2/11*p**3 + 4/11 = 0.
-1, 1, 2
Solve 0 - 6/5*v - 3/5*v**3 + 9/5*v**2 = 0.
0, 1, 2
Let k(q) be the first derivative of 4*q**5/5 - 8*q**3/3 + 4*q + 61. Factor k(h).
4*(h - 1)**2*(h + 1)**2
Suppose -4*p + 3 = -25. Let f = p + -5. Determine d so that 2*d + 2*d**3 - 16*d + 6*d + 8 - 2*d**f = 0.
-2, 1, 2
Solve -2/21*n**5 - 2/21*n**4 + 44/21*n**3 - 30/7 - 2*n + 92/21*n**2 = 0 for n.
-3, -1, 1, 5
Let s(i) = -i**2 + i + 1. Suppose -5*o = -3*w + 7*w - 9, 2*o + 1 = 3*w. Let g(p) = 55*p**2 - 10*p - 15. Let t(q) = o*g(q) + 5*s(q). Solve t(z) = 0.
-2/5, 1/2
Let b be ((-55)/22)/(2/(-12)). Find d such that b*d**2 - 3*d**3 - 3*d**4 - 13*d - 5*d + 3*d**3 + 6*d**3 = 0.
-2, 0, 1, 3
Let w(d) be the second derivative of d**6/10 + 27*d**5/10 - 3*d**4/16 - 53*d**3/8 + 27*d**2/4 + 451*d. What is s in w(s) = 0?
-18, -1, 1/2
Suppose 0*h - 4*h = 2*l - 56, 3*l = 4*h + 124. Factor -9*u**3 + 94*u + 202*u**2 - 5*u**3 + l - 318*u**2.
-2*(u - 1)*(u + 9)*(7*u + 2)
Let f(x) be the third derivative of -x**7/140 - 3*x**6/40 - 3*x**5/10 - x**4/2 - 136*x**2. Let f(l) = 0. What is l?
-2, 0
Let r(v) = 4*v**4 + 20*v**3 + 12*v**2 + 4*v + 4. Let l(h) = -8*h**4 - 38*h**3 - 24*h**2 - 8*h - 7. Let m(x) = 4*l(x) + 7*r(x). Factor m(j).
-4*j*(j + 1)**3
Suppose -2*t + 4*r = 16, -t + 61*r - 62*r + 4 = 0. Factor 9/5*v**2 - 6/5*v + t.
3*v*(3*v - 2)/5
Suppose -v = -2*v + 4*u - 12, 0 = -4*v + 3*u + 4. Suppose v*y + 10 = 18. Factor 2/5*r**y + 0*r + 0.
2*r**2/5
Let k be (7 + -2)/30*12/8. Let f(u) be the third derivative of 0 - k*u**4 - 13*u**2 + 1/30*u**5 + 2/3*u**3 + 0*u. Suppose f(n) = 0. Calculate n.
1, 2
Factor -318 + 30*d**2 - 323 + 27*d + 638.
3*(d + 1)*(10*d - 1)
Let q(w) be the first derivative of -4*w**3/9 + 8*w**2/3 + 125. Determine a, given that q(a) = 0.
0, 4
Solve 0 + 7/2*s + 4*s**2 + 1/2*s**3 = 0.
-7, -1, 0
Let m(k) = 6*k**3 + 10*k**2 + 9*k + 5. Let r(i) = -i**3 - i**2 + i + 1. Let p(n) = m(n) + 7*r(n). Factor p(d).
-(d - 6)*(d + 1)*(d + 2)
Let q be 0 + 2 + (3 - 0). Suppose -c = q*m - 3*c - 2, c - 4 = 0. Factor 2*i**3 - 30*i**m + 2*i**3 + 14*i**2.
4*i**2*(i - 4)
Let q(k) be the first derivative of -2*k**3/21 - 36*k**2/7 - 648*k/7 - 131. Factor q(l).
-2*(l + 18)**2/7
Let a(p) = 16*p**4 + p**3 - 32*p**2 + 33*p - 10. Let q(i) = 31*i**4 + i**3 - 65*i**2 + 66*i - 19. Let k(s) = -7*a(s) + 4*q(s). Find g, given that k(g) = 0.
-2, 1/4, 1
Let o(b) be the third derivative of 4/3*b**4 + 7/30*b**6 + 3 + 0*b**3 - 2*b**5 + 0*b + 2*b**2. Factor o(y).
4*y*(y - 4)*(7*y - 2)
What is j in 1/6*j**4 + 1/6*j**2 - 1/3*j**3 + 0*j + 0 = 0?
0, 1
Suppose 5*w = -144 - 31. Let c = w + 107/3. Solve 2/3*x**2 - 2/3*x**3 + c*x - 2/3 = 0 for x.
-1, 1
Determine c so that 4 + 3*c + 1/2*c**2 = 0.
-4, -2
Let g be 6/1*(-10)/15. Let k(q) = -3*q - 8. Let b be k(g). Find m, given that 12*m**2 - 27*m**3 + 3*m**3 - 20*m**b + 5*m**4 = 0.
-2, 0, 2/5
Let o(w) be the second derivative of w**5/70 + 4*w**4/7 - 52*w**3/21 + 5*w - 25. Factor o(m).
2*m*(m - 2)*(m + 26)/7
Let d(t) be the first derivative of 2/9*t**3 + 1/2*t**2 - 2/3*t + 1/18*t**6 - 35 - 1/3*t**4 + 0*t**5. Factor d(i).
(i - 1)**3*(i + 1)*(i + 2)/3
Let z(i) be the first derivative of i**7/420 + i**6/90 + i**5/60 - 10*i**3/3 + 11. Let p(u) be the third derivative of z(u). Suppose p(r) = 0. Calculate r.
-1, 0
Suppose -3*z + 8*z = 5*z + 4*z. Factor -1/4*l**3 + z*l + 0 + 1/4*l**2.
-l**2*(l - 1)/4
Let k(l) be the second derivative of -l**4/90 + 17*l**3/15 - 10*l**2/3 + 35*l - 3. Let k(j) = 0. Calculate j.
1, 50
Let a(m) = -5*m - 6. Let f(z) = 22*z + 24. Let j(d) = 18*a(d) + 4*f(d). Let n be j(-6). Factor n + 0*w**2 + 2/7*w**4 + 0*w + 2/7*w**3.
2*w**3*(w + 1)/7
Suppose 52/7*j**2 + 2/7*j**3 + 0*j + 0 = 0. Calculate j.
-26, 0
Let y(c) = -5*c**2 - 144*c + 33. Let z be y(-29). Factor -1/4 - z*h - 16*h**2.
-(8*h + 1)**2/4
Let f(r) be the second derivative of 11*r + 4/3*r**3 + 2662/15*r**6 + 363/5*r**5 + 44/3*r**4 + 0*r**2 + 14641/84*r**7 + 0. Suppose f(n) = 0. Calculate n.
-2/11, 0
Let m be (2/4)/(3/(-36)). Let p = 6 + m. Determine j, given that p*j - j**2 - j**3 + 2*j**2 + 3*j - 2*j - 1 = 0.
-1, 1
Let h(m) be the third derivative of -m**7/1470 - 3*m**6/280 - m**5/28 - m**4/24 - 135*m**2. Suppose h(b) = 0. Calculate b.
-7, -1, 0
Let s(q) = q**4 + 20*q**3 - 48*q**2 + 56*q - 17. Let i(c) = -c**3 - c. Let h(a) = -30*i(a) - 5*s(a). Factor h(o).
-5*(o - 1)**3*(o + 17)
Let c be (28/48 - 1)*8/(-100). Let j(y) be the second derivative of 0*y**3 + 0 - c*y**5 - 1/18*y**4 + 0*y**2 + 4*y. Factor j(a).
-2*a**2*(a + 1)/3
Suppose -3*p + 4*p = 9. Let f = p + -7. Factor -v**f + 2 + 2*v**2 + 2*v - 1.
(v + 1)**2
Let c(r) be the third derivative of -r**6/180 - r**5/54 + r**4/27 + 4*r**3/27 - 7*r**2 - 6*r. Factor c(b).
-2*(b - 1)*(b + 2)*(3*b + 2)/9
Let n be -5*1*(-5)/1. Let f be (30/n)/(2/5). Factor -3*j**f + 9*j**2 - j + 4*j - 1 + 8*j**3.
(j + 1)**2*(5*j - 1)
Suppose 18 = 3*r - 9*p, 2*r - 35 + 39 = -2*p. Factor 35/2*f**2 + r*f - 5/2*f**3 + 0.
-5*f**2*(f - 7)/2
Let l be 6 + (-8 - 612/(-85))/(1/5). Suppose -2/11*k**l - 14/11*k + 0 = 0. What is k?
-7, 0
Suppose 18*w - 30*w = -10*w - 8. Factor -8/3*q - 8/3*q**3 - 2/3 - 2/3*q**w - 4*q**2.
-2*(q + 1)**4/3
Let x(y) = 46*y + 740. Let l be x(-16). Factor -4*b**l - 6*b - 4/3 - 28/3*b**3 - 2/3*b**5 - 32/3*b**2.
-2*(b + 1)**4*(b + 2)/3
Determine x, given that -x**4 - 27*x**3 + 33*x**3 - 8*x**3 = 0.
-2, 0
Let r(b) be the first derivative of -b**6/1080 + b**5/30 - b**4/2 - 17*b**3/3 + 4. Let k(z) be the third derivative of r(z). Factor k(h).
-(h - 6)**2/3
Let w(l) = l**4 + l**3 + 2*l**2 - l + 1. Let t(n) = 5*n**4 + 5*n**3 - 50*n**2 - 158*n - 118. Let m(j) = -t(j) + 2*w(j). Factor m(v).
-3*(v - 5)*(v + 2)**3
Find m such that -582*m + 25*m**2 - 50*m**3 + 81*m**2 + 542*m - 21*m**2 + 5*m**4 = 0.
0, 1, 8
Let d(l) be the second derivative of 0*l**2 - 1/10*l**5 - l**4 + 3/2*l**3 + 2/15*l**6 + 0 + 11*l + 1/42*l**7. Determine p so that d(p) = 0.
-3, 0, 1
Suppose -8*r = -13*r + p - 2, -4*r = 2*p - 4. Let x(k) be the second derivative of 0*k**2 + r + 1/12*k**3 + 5*k - 1/48*k**4. Factor x(u).
-u*(u - 2)/4
Let a(g) = -12*g**2 - 4*g**2 + 1 + 24*g - 4 - 7*g**2. Let n(v) = 11*v**2 - 12*v + 2. Let s(l) = 4*a(l) + 10*n(l). Suppose s(t) = 0. Calculate t.
2/3
Suppose x + 3*v = -10, -3*x + 4*x - 2*v - 10 = 0. Suppose -2*w = -1 - 5. Solve 3/4*s - 3/4*s**w + 0*s**x + 0 = 0.
-1, 0, 1
Solve -10/23*u**3 - 2/23*u**4 - 14/23*u**2 + 0 - 6/23*u = 0.
-3, -1, 0
Let l(v) be the second derivative of -v**4/12 + v**3 - 4*v**2 + 3*v - 60. Let l(r) = 0. What is r?
2, 4
Suppose 3*u + 27 = -h + 3*h, 0 = 5*h - 5*u - 70. Suppose -3*m - 3*c + 0 = -h, 2*c - 6 = 0. Determine j, given that 16/5*j**m + 8/5*j + 0 + 6/5*j**3 = 0.
-2, -2/3, 0
Let q(l) = l**2 - 7*l + 17. Let x be q(4). Suppose -6*u**3 - 2*u + 43 - 43 + 5*u + 3*u**x = 0. Calculate u.
-1, 0, 1
Solve -q**5 - 48*q + 16*q**2 - 10*q**3 - 3*q**5 - 16*q**4 + 40*q**3 + 22*q**3 = 0.
-6, -1, 0, 1, 2
Let k