*o - 8 + 7*o**2 = 0. What is o?
-4, 1
Suppose 7*u - 13*u = 0. Let r(d) be the third derivative of 0 + 1/120*d**6 + 0*d**4 + 0*d + u*d**3 + 5*d**2 + 1/30*d**5. Solve r(y) = 0 for y.
-2, 0
Let -13/10*b + 1/5 + 8/5*b**4 + 9/10*b**2 + 4*b**3 = 0. Calculate b.
-2, -1, 1/4
Let d = -2352 + 2352. Solve 0*l**2 - 4/9*l**3 + d*l**4 + 2/9*l + 0 + 2/9*l**5 = 0 for l.
-1, 0, 1
Let k(z) = 6*z**2 - 6*z. Let s(o) = 5*o**2 - 6*o + 1. Let j = 37 + -24. Let r = -11 + j. Let g(y) = r*s(y) - 3*k(y). Factor g(v).
-2*(v - 1)*(4*v + 1)
Let b(w) = 3*w**2 - 7*w - 3. Let q be b(3). Let o(j) be the third derivative of 3*j**2 + 0 - 1/60*j**5 - 1/6*j**4 - 2/3*j**q + 0*j. Factor o(n).
-(n + 2)**2
Let y(f) = 3*f - 5. Let o(z) = -7*z + 11. Let g(l) = -6*o(l) - 13*y(l). Let h be g(1). Factor 2/5*i + 4/5 - 2/5*i**h.
-2*(i - 2)*(i + 1)/5
Suppose 5*u = 5*n - 10, 3*u + 2*n + 14 = 33. Solve -1/2*s**4 - s**u + 0*s + 0*s**2 + 0 = 0 for s.
-2, 0
Determine d so that -16/5 + 2*d**5 - 46/5*d**4 - 4*d + 2*d**3 + 62/5*d**2 = 0.
-1, -2/5, 1, 4
Let b(o) be the second derivative of o**7/231 - 4*o**6/165 - 2*o**5/55 + 8*o**4/33 + 85*o + 1. Suppose b(a) = 0. What is a?
-2, 0, 2, 4
Let c(v) = -v**3 + 2*v**2 + 2*v - 3. Let t be c(4). Let r be ((-8)/12)/(2/t). Find y such that 4*y**4 - 3*y**2 - 8*y**4 - 2*y**2 + 8*y + r*y**2 - 8*y**3 = 0.
-2, -1, 0, 1
Solve -3/2*c**3 + 0*c + 1/2*c**4 + 0 - 5*c**2 = 0 for c.
-2, 0, 5
Factor -210362*p**3 - 27865*p**2 - 4626882*p**4 + 211380*p**3 - 45143*p**2 - 30 - 2496*p - 950122*p**3 - 2.
-2*(39*p + 2)**4
Suppose i + 48 = 20*i - 3*i. Solve -26/15*n - 2/3*n**2 - 14/15 + 2/15*n**i = 0.
-1, 7
Let i(a) = 18*a**4 - 52*a**3 + 52*a - 12. Let q be (6 + -2)/(-2 + 8/6). Let t(m) = -m**3 - m**2 + m. Let z(r) = q*t(r) - i(r). Determine c so that z(c) = 0.
-1, 2/9, 1, 3
Let s(y) be the third derivative of -y**6/180 + y**5/15 - 11*y**4/36 + 2*y**3/3 - 15*y**2 - 9*y. Factor s(v).
-2*(v - 3)*(v - 2)*(v - 1)/3
Let c(t) be the first derivative of -t**5/5 + t**4/4 + 5*t**3/3 + 3*t**2/2 + 229. Let c(g) = 0. Calculate g.
-1, 0, 3
Let o = 1716/47 - 18406/517. What is p in -2/11*p**2 + o + 8/11*p = 0?
-1, 5
Let a(d) be the second derivative of -d**4/6 + 19*d**3/3 - 48*d**2 + 207*d. Factor a(l).
-2*(l - 16)*(l - 3)
Let q(l) be the first derivative of 14 + 9*l + 1/3*l**3 + 3*l**2. Determine u, given that q(u) = 0.
-3
Factor -25*x + 80*x**2 + 38 + 70*x**4 - 35*x**3 - 75*x**3 - 17*x**5 - 36.
-(x - 1)**4*(17*x - 2)
Let s be 60/35 + 2/7. Let w(b) = -3 + b**4 + b**s + b**3 + 8 - 4. Let r(l) = -l**4 + 3*l**3 - l**2 - 5. Let x(g) = -r(g) - 5*w(g). Factor x(p).
-4*p**2*(p + 1)**2
Let s(i) be the second derivative of -i**5/35 + i**4/21 + 8*i**3/21 - 8*i**2/7 - 2*i - 189. Solve s(q) = 0.
-2, 1, 2
Let i(x) = -28*x**4 + 137*x**3 - 77*x**2 + 4*x + 6. Let z(f) = 3*f**3 + f - 1. Let m(y) = -i(y) - 6*z(y). Suppose m(h) = 0. Calculate h.
0, 1/4, 2/7, 5
Let u(r) = 2*r**3 + 39*r**2 - 11*r + 185. Let m be u(-20). Factor 7/5*b**4 - 4/5*b - 3*b**3 + 13/5*b**2 - 1/5*b**m + 0.
-b*(b - 4)*(b - 1)**3/5
Let a be (-22)/(-336) + (-11)/(-88). Let p(y) be the first derivative of -2 - a*y**3 + 0*y**4 + 2/7*y + 0*y**2 + 2/35*y**5. Factor p(d).
2*(d - 1)**2*(d + 1)**2/7
Let i = 22219/3 + -7405. Solve 2/3*t**2 - i - 2/3*t = 0.
-1, 2
Let o(j) be the third derivative of -j**8/224 + j**7/70 + 3*j**6/80 - j**5/10 - j**4/4 - 2*j**2 + 22*j. Determine i, given that o(i) = 0.
-1, 0, 2
Let h(f) be the third derivative of -f**8/1680 - f**7/315 - f**6/180 + 17*f**4/24 + 14*f**2. Let p(d) be the second derivative of h(d). Solve p(g) = 0 for g.
-1, 0
Suppose -2*t + 54 = -5*x + t, -3*t + 9 = 0. Let z(d) = -d - 7. Let v be z(x). Factor -5*b**3 + 4*b**3 + 2*b + 5*b**v - 4*b**2.
-b*(b - 2)*(b + 1)
Let j(u) be the second derivative of -4096*u**6/135 - 2432*u**5/45 - 136*u**4/9 - 49*u**3/27 - u**2/9 + u - 19. What is o in j(o) = 0?
-1, -1/16
Let a be (-7)/(-3) + (-14)/(-42). Determine z, given that 4/3*z**2 + 4/3 + a*z = 0.
-1
Let g(r) be the first derivative of 2*r**5/55 - 2*r**4/11 - 2*r**3/33 + 4*r**2/11 + 270. Factor g(f).
2*f*(f - 4)*(f - 1)*(f + 1)/11
Let k = 2233 - 2233. Let g(d) be the second derivative of k*d**3 - 1/15*d**6 + 0*d**2 - 1/3*d**4 + 10*d - 3/10*d**5 + 0. Factor g(n).
-2*n**2*(n + 1)*(n + 2)
Let l be (-13905)/(-6489) - ((-12)/14 - -1). Factor -2/7*j**l + 2/7 + 2/7*j - 2/7*j**3.
-2*(j - 1)*(j + 1)**2/7
Let r = 39945101/354 - 112839. Let d = r - 6/59. Factor 1/6*a**2 - 1/6*a + 0 - 1/6*a**4 + d*a**3.
-a*(a - 1)**2*(a + 1)/6
Suppose 2*j - 3*w = -8, 5*j + 3*w + 0*w - 22 = 0. Suppose j*f - 8 = -2*f. Let -2/7*n**5 + 0 - 4/7*n**4 + 0*n**3 + 2/7*n + 4/7*n**f = 0. What is n?
-1, 0, 1
Let r(h) be the first derivative of h**5/90 - h**4/18 + 8*h**2 - 6. Let x(c) be the second derivative of r(c). Find w such that x(w) = 0.
0, 2
Let t(a) be the first derivative of -a**5/12 + 5*a**4/36 + 5*a**3/18 - 5*a**2/6 - 4*a - 14. Let b(w) be the first derivative of t(w). Factor b(u).
-5*(u - 1)**2*(u + 1)/3
Suppose 0 = -471*n + 477*n - 36. Let u(h) be the second derivative of 2/5*h**n + 0*h**3 + 0*h**2 + 3/5*h**5 + 0 + 10*h + 2/21*h**7 + 1/3*h**4. Factor u(l).
4*l**2*(l + 1)**3
Solve -23*f**2 - 48*f - 1/2*f**4 + 64 + 15/2*f**3 = 0 for f.
-2, 1, 8
Let j(m) be the second derivative of m**6/10 + 23*m**5/40 - m**4/6 - 91*m. Factor j(d).
d**2*(d + 4)*(6*d - 1)/2
Let a = 43 - 41. Factor -171*b + 84*b + 87*b - 4*b**a.
-4*b**2
Let h(r) be the second derivative of -1/8*r**4 - 1/90*r**5 + 0 - 2/9*r**3 - 4*r**2 + 9*r. Let i(b) be the first derivative of h(b). Solve i(n) = 0.
-4, -1/2
Let a = 448 - 444. Let z(q) = q + 1. Let k be z(3). Solve 2*n**4 + k*n**4 + 2*n**2 + 3*n**3 - 4*n**a - 7*n**3 = 0 for n.
0, 1
Let c be (18/(-60))/(6/(-5)). Let y be (-2)/(-8) - -1*0/4. Factor -y*b + 0 - c*b**2 + 1/4*b**4 + 1/4*b**3.
b*(b - 1)*(b + 1)**2/4
Let q(p) be the third derivative of p**6/1440 - p**4/288 + p**2 - 2*p. Factor q(h).
h*(h - 1)*(h + 1)/12
Suppose -2 + 7 = 5*c - 5*n, 2*c = 3*n. Suppose 0 = -4*s + 7*s - c. Find q, given that 4*q**3 - 3/2*q**5 + 9*q**2 + 11/2*q - 2*q**4 + s = 0.
-1, -1/3, 2
Let y(q) be the third derivative of q**7/11340 + q**6/1080 - 5*q**4/8 + 10*q**2. Let s(j) be the second derivative of y(j). Let s(n) = 0. Calculate n.
-3, 0
Let d(c) be the first derivative of 2*c**3/39 + 12*c**2/13 + 70*c/13 + 466. Find m, given that d(m) = 0.
-7, -5
Let b be (-2 - 47/18) + 5. Let i = b - 17/90. Factor -i*k**2 - 1/5 + 2/5*k.
-(k - 1)**2/5
Factor -2/11*b**3 - 30/11*b - 18/11*b**2 + 50/11.
-2*(b - 1)*(b + 5)**2/11
Let r(c) be the first derivative of c**4/138 - 28*c**3/69 + 196*c**2/23 + 18*c - 11. Let w(d) be the first derivative of r(d). What is u in w(u) = 0?
14
Let i(t) = -t**5 - 4*t**4 + 6*t**3 + 4*t**2 - 2*t. Let m(f) = f. Let a(z) = -i(z) + 3*m(z). Suppose a(k) = 0. What is k?
-5, -1, 0, 1
Let c(w) be the first derivative of w**4/8 + 6*w**3 + 108*w**2 - 46*w - 48. Let o(x) be the first derivative of c(x). Find s, given that o(s) = 0.
-12
Let q(f) be the first derivative of f**3/3 - f**2/2 - f - 20. Let a(v) = 5*v**2 + 5*v + 5. Let z(i) = -a(i) + 3*q(i). Solve z(k) = 0.
-2
Let o be (-160)/(-14) - 7/98*6. Let j be 16 - 21 - -1*o. Let -15/4*m**3 - 3/2 + j*m**2 - 3/4*m = 0. Calculate m.
-2/5, 1
Let h(j) be the second derivative of -3*j**4/32 - 7*j**3/16 + 9*j**2/8 + 2*j + 1. Factor h(b).
-3*(b + 3)*(3*b - 2)/8
Let q(k) be the third derivative of -k**6/480 + 38*k**2. Factor q(y).
-y**3/4
Let o(b) be the third derivative of 1/72*b**4 - 1/360*b**6 + 0*b + 0*b**3 - 7*b**2 + 0 - 1/72*b**5 + 1/252*b**7. Solve o(t) = 0.
-1, 0, 2/5, 1
Let n(m) = 8*m + 75. Let t be n(-9). Suppose 2*r**3 + 9*r**2 + r**3 - 4*r**3 - 3*r - r**t - 4 = 0. Calculate r.
-1/2, 1, 4
Let w = 14/19 + -22/133. Let s be ((-4)/3)/(63/(-297)) - 6. Solve 2/7*g + 4/7*g**2 - w - s*g**3 = 0.
-1, 1, 2
Suppose 1274*i = 1263*i + 22. Let q(g) be the second derivative of 1/2*g**i + 0*g**3 - 1/12*g**4 - g + 0. Let q(f) = 0. What is f?
-1, 1
Let d(w) be the third derivative of -w**8/6720 + w**7/1680 - w**6/1440 - w**3/6 + 6*w**2. Let c(o) be the first derivative of d(o). Factor c(y).
-y**2*(y - 1)**2/4
Let k(s) = 33*s**2 - 3*s**3 - 24*s - 72*s + 13*s**3 + 14*s**3. Let n(q) = -3*q**3 - 4*q**2 + 12*q. Let b(c) = -4*k(c) - 33*n(c). Factor b(f).
3*f*(f - 2)*(f + 2)
Let f be -3*2/(-3)*-3. Let x(d) = -d - 4. Le