 - 132*f - 122. Let l(r) = 2*n(r) + 15*o(r). Factor l(d).
5*(d - 6)*(d + 1)*(d + 4)
Suppose 10*b - 14*b = -20. Suppose -5 + 4*g**2 - 4 + b = 0. Calculate g.
-1, 1
Let b(l) = 10*l**4 + 7*l**3 - l**2 - 4*l. Let k(o) = -16*o**4 - 13*o**3 + o**2 + 8*o. Let h(a) = -5*b(a) - 3*k(a). What is y in h(y) = 0?
-1, 0, 1, 2
Let j = 7/78 + -3/130. Let r(v) be the first derivative of 0*v + 3 - 1/12*v**2 + 0*v**4 + 1/36*v**6 - 1/9*v**3 + j*v**5. Find g such that r(g) = 0.
-1, 0, 1
Suppose 892 = 141*c + 69*c + 52. Suppose -8/7*z - 20/7*z**2 - 4/7*z**c - 16/7*z**3 + 0 = 0. Calculate z.
-2, -1, 0
Suppose b - 2*o = 72, -2*b - 5*o - 22 = -139. Let c be 12/b - 32/(-66). Factor -7/3*i - 5/3*i**3 + c + 3*i**2 + 1/3*i**4.
(i - 2)*(i - 1)**3/3
Let t be (1/4)/((-4)/(-48)). Let -t*l**2 + 18 + l + 3*l - 3*l + 2*l = 0. Calculate l.
-2, 3
Let x(v) be the third derivative of -v**6/120 + v**5/12 + v**4/4 - 2*v**2 - 43*v. Factor x(y).
-y*(y - 6)*(y + 1)
Suppose -1/2*w**2 - 1/4*w**3 + 0 - 1/4*w = 0. Calculate w.
-1, 0
Let t(q) = -5*q**2 - 485*q + 975. Let v(c) = -2*c**2 - 244*c + 487. Let o(i) = -3*t(i) + 5*v(i). Factor o(k).
5*(k - 2)*(k + 49)
Let o(p) be the second derivative of -p**6/150 - 39*p**5/100 + p**4/20 + 23*p**3/6 - 39*p**2/5 - 23*p - 1. Suppose o(j) = 0. Calculate j.
-39, -2, 1
Let f(z) = 2. Let c(t) = 8*t + 18. Let j(q) = -c(q) + 2*f(q). Let d be j(-2). Determine k so that -2*k**d - 1/2*k**3 - 5/2*k - 1 = 0.
-2, -1
Let v = -153/5 - -31. Let b(o) be the second derivative of -5*o - 3/2*o**4 + 2*o**3 + 0 - o**2 + v*o**5. Let b(d) = 0. What is d?
1/4, 1
Let i(d) be the third derivative of d**6/360 + d**5/90 - d**4/72 - d**3/9 - d**2 - 6*d. Suppose i(v) = 0. What is v?
-2, -1, 1
Solve 10*f**2 - 6/5*f**3 - 16/5*f + 0 = 0 for f.
0, 1/3, 8
Factor 0 - p + 7/2*p**2.
p*(7*p - 2)/2
Let t(f) be the second derivative of -f**4/6 + f**3 - 34*f - 2. Suppose t(l) = 0. Calculate l.
0, 3
Let p(r) be the third derivative of -r**5/330 + 6*r**4/11 - 432*r**3/11 + 2*r**2 + r. Find a, given that p(a) = 0.
36
Let l(t) be the second derivative of t**7/20160 - t**6/1920 + 5*t**4/6 - 5*t. Let u(h) be the third derivative of l(h). Find s, given that u(s) = 0.
0, 3
Let o(u) be the third derivative of u**5/60 - 125*u**4/24 + 62*u**3/3 - 87*u**2. Suppose o(v) = 0. What is v?
1, 124
Let t be (-1 - -2) + 4/(-2). Let y be 1 + (2 - t)*1/(-6). Solve 0 + 1/6*d + 1/2*d**3 + 1/6*d**4 + y*d**2 = 0.
-1, 0
Let b(l) be the third derivative of -l**9/13608 - l**8/2520 + l**7/945 - 6*l**3 + 20*l**2. Let n(p) be the first derivative of b(p). Let n(o) = 0. Calculate o.
-4, 0, 1
Let u(b) = -2*b**2 - 9*b + 8. Let j be u(-4). Let r be (j/15)/((-56)/(-100)). Factor 6/7*d**5 + 0 + r*d**4 + 0*d**2 + 4/7*d**3 + 0*d.
2*d**3*(d + 1)*(3*d + 2)/7
Let k(y) be the second derivative of y**8/1680 - y**7/42 + 5*y**6/12 - 25*y**5/6 + 5*y**4/4 - 2*y. Let t(w) be the third derivative of k(w). Solve t(c) = 0.
5
Let k(a) be the first derivative of -a**4/36 - a**3/18 + a**2/3 - 22*a - 22. Let t(v) be the first derivative of k(v). Let t(i) = 0. Calculate i.
-2, 1
Let r(t) be the first derivative of t**5/100 + 3*t**4/40 + t**3/5 + 3*t**2/2 - 14. Let z(y) be the second derivative of r(y). Suppose z(k) = 0. What is k?
-2, -1
Let f(l) be the third derivative of l**8/336 + 37*l**7/90 + 1177*l**6/72 + 12769*l**5/180 + 371*l**4/3 + 98*l**3 + 106*l**2. Find u such that f(u) = 0.
-42, -1, -1/3
Let v = 1988 - 1986. Let h(n) be the first derivative of 6 - n - 1/10*n**5 - 1/8*n**4 + 1/2*n**3 + 1/4*n**v. Factor h(g).
-(g - 1)**2*(g + 1)*(g + 2)/2
Let u(w) = -w**4 + 11*w**3 - 21*w**2 + w + 18. Let p(o) = o**3 - 2*o**2 + o. Let d(z) = -4*p(z) + u(z). What is q in d(q) = 0?
-1, 2, 3
Let m be ((-170)/408)/(((-30)/16)/3). Determine z, given that -m*z**2 - 4/3*z + 0 = 0.
-2, 0
Let o(r) be the second derivative of 1/30*r**4 + 1/50*r**5 + 0*r**2 - 14*r + 0 + 0*r**3. Determine u, given that o(u) = 0.
-1, 0
Suppose 23 - 23 = 38*w. Suppose 0 = 4*d + 5*o - 28, 2*d + 3*d = -3*o + 22. Factor w + 1/7*n**3 + 0*n + 1/7*n**4 + 0*n**d.
n**3*(n + 1)/7
Let q(n) be the second derivative of 9*n**6/40 - 57*n**5/80 + 11*n**4/16 - n**3/8 + 4*n + 2. Factor q(a).
3*a*(a - 1)**2*(9*a - 1)/4
Factor -1/3*z**4 + 0 + 0*z + 1/3*z**3 + 0*z**2.
-z**3*(z - 1)/3
Let k(r) = -9*r**4 + 21*r**3 - 9*r**2 - 51*r - 42. Let y(x) = -8*x**4 + 20*x**3 - 7*x**2 - 51*x - 41. Let b(p) = 5*k(p) - 6*y(p). Factor b(u).
3*(u - 4)*(u - 3)*(u + 1)**2
Let o be -17 - (119/(-17) + -13). Suppose 1458/5 - 486/5*a - 2/5*a**o + 54/5*a**2 = 0. Calculate a.
9
Let z(m) be the second derivative of m**4/15 - 4*m**3/3 - 22*m**2/5 - m - 64. Suppose z(q) = 0. What is q?
-1, 11
Suppose -985 = -5*p - d, 5*d = 6*p - 2*p - 817. Let n = p + -393/2. Factor -1/4*r**2 - 9/4 + n*r.
-(r - 3)**2/4
Let w(k) = 20*k**2 - 30*k + 80. Let f(h) = 4*h**2 - 5*h + 16. Let g(y) = 14*f(y) - 3*w(y). Factor g(q).
-4*(q - 4)*(q - 1)
Let o(a) = -10*a**3 + a**2 - 11*a - 11. Let k(i) = i**3 + i + 1. Let z = 7 - 4. Suppose 2*t = -z*t - 110. Let n(b) = t*k(b) - 2*o(b). Factor n(r).
-2*r**2*(r + 1)
Let h(p) be the first derivative of 4/3*p**2 + 2/15*p**5 - 4/3*p**3 - 4 - 1/6*p**4 + 16/3*p. Factor h(s).
2*(s - 2)**2*(s + 1)*(s + 2)/3
Factor 6 + 6/5*n**2 - 39/5*n + 3/5*n**3.
3*(n - 2)*(n - 1)*(n + 5)/5
Let y(c) be the third derivative of -c**7/70 - 3*c**6/20 + 7*c**5/20 - 263*c**2. Factor y(h).
-3*h**2*(h - 1)*(h + 7)
Let h(v) be the first derivative of -3/20*v**5 + 1/4*v**3 + 0*v - 3/16*v**4 - 6 + 3/8*v**2. Solve h(d) = 0 for d.
-1, 0, 1
Let f(h) be the third derivative of 1/1050*h**7 + 7*h**2 + 1/120*h**6 + 0 + 7/120*h**4 + 0*h + 3/100*h**5 + 1/15*h**3. What is w in f(w) = 0?
-2, -1
Let 276*r**2 + 24 + 144*r + 75/2*r**4 + 180*r**3 = 0. Calculate r.
-2, -2/5
Suppose -6*p + 3*p + 21 = 0. Suppose -p*l = -0*l - 21. Suppose -8/9*x**2 - 4/9 - 2/9*x**l - 10/9*x = 0. Calculate x.
-2, -1
Suppose -2 + 34 = 8*c. Let 200 + c*m + 2*m**2 - 200 + 0*m = 0. Calculate m.
-2, 0
Let a(s) = 2*s**3 - s - 2. Let z(d) = -20*d**3 - 4*d**2 + 11*d + 22. Let b(h) = 18*a(h) + 2*z(h). Factor b(q).
-4*(q - 1)*(q + 1)*(q + 2)
Let y be (-82 + -8)/(-6) + -12. Solve 6/7*h**2 + 10/7*h + 4/7 - 2/7*h**y - 2/7*h**4 = 0 for h.
-1, 2
Let 0 + 16/3*g**3 - 12*g - 2/3*g**4 + 22/3*g**2 = 0. What is g?
-2, 0, 1, 9
Let b(d) be the first derivative of d**6/33 + 38*d**5/55 + 87*d**4/22 + 78*d**3/11 + 296. Let b(u) = 0. Calculate u.
-13, -3, 0
Suppose -4*v**3 + 8*v**3 - 60*v**2 + 72*v + 96*v - 24*v = 0. What is v?
0, 3, 12
Let w(z) be the second derivative of z**5/10 - 58*z**4 + 13456*z**3 - 1560896*z**2 - 526*z. Factor w(p).
2*(p - 116)**3
What is r in 0*r - 11/2*r**2 + 11/2*r**4 + 0 + 1/2*r**3 - 1/2*r**5 = 0?
-1, 0, 1, 11
Let z(g) be the third derivative of -g**6/240 + 23*g**5/120 - 5*g**4/3 + 19*g**3/3 + 67*g**2. Factor z(j).
-(j - 19)*(j - 2)**2/2
Suppose 0*u - 3*u = 2*q - 44, -32 = -2*u - 2*q. What is h in -u*h + 5*h**4 + 25*h**2 + 31*h**3 + 22*h - 11*h**3 = 0?
-2, -1, 0
Let o = -34 - -25. Let a(w) = -w**3 - 9*w**2 - w - 5. Let t be a(o). Solve 8*m**2 + 0 + 3 + 8*m**3 + 2*m**t - 3 = 0 for m.
-2, 0
Let v be (-11)/((-132)/(-18))*8/96*-1. Factor -v*r**3 + 3/8*r**2 + 1/8*r - 3/8.
-(r - 3)*(r - 1)*(r + 1)/8
Let f(y) = 20*y**3 - 73*y**2 + 64*y - 16. Suppose g + 5*s = 8*s + 17, 5*s = 2*g - 30. Let q(t) = t**2. Let u(h) = g*q(h) + f(h). Factor u(l).
4*(l - 2)*(l - 1)*(5*l - 2)
Let -24 - 24*f**2 + 5*f**2 + 10*f**2 - 18*f + 6*f**2 = 0. Calculate f.
-4, -2
Suppose -5*m + 0*k = k - 14, -3*k = m. Suppose -3/4*u**4 - 3/2*u + 15/4*u**2 + 3/4*u**5 + 0 - 9/4*u**m = 0. What is u?
-2, 0, 1
Let z(j) be the third derivative of 0 + 0*j + 5/51*j**3 + 7/510*j**5 + 3*j**2 + 11/204*j**4 + 1/1020*j**6. Determine m, given that z(m) = 0.
-5, -1
Let h(s) = s**3 - 8*s**2 + s - 4. Let a be h(8). Suppose a*b - 2*b - 4 = 0. Solve -2/7*z + 2/7*z**3 + 0 + 0*z**b = 0 for z.
-1, 0, 1
Suppose 0 = -14*p + p. Let i(v) be the third derivative of p*v - 1/90*v**5 + 6*v**2 + 0 - 2/9*v**3 - 1/12*v**4. Suppose i(r) = 0. What is r?
-2, -1
Let y be 1/(-8)*1 + (-1170)/240. Let o be (435/(-12))/y + (-4)/8. Factor 9/4*q**2 - 1/4*q**3 + 27/4 - o*q.
-(q - 3)**3/4
Let s(v) = 15*v**2 - 18*v - 6. Let i(r) = -18*r**2 + 19*r + 7. Let p(c) = 6*i(c) + 7*s(c). Solve p(n) = 0 for n.
-4, 0
Let z(l) be the third derivative of -2/9*l**5 - 1/1008*l**8 - 25*