 4*g**2 + 21*g. Let s(l) = 2*c(l) - 11*h(l). Let s(a) = 0. What is a?
0, 1, 2
Let k = 82 + -78. Let n be 30/(-12)*k/(-40). Find o, given that -1/4*o + 0 - 1/4*o**2 + 1/4*o**3 + n*o**4 = 0.
-1, 0, 1
Let i(x) be the second derivative of 0 - 3/8*x**2 + 1/40*x**6 - 5*x + 0*x**4 - 1/4*x**3 + 3/40*x**5. Factor i(w).
3*(w - 1)*(w + 1)**3/4
Let h(v) = -3*v + 34. Let f be h(15). Let z be -20 + 20 + (-2)/f. Factor 0 - 2/11*d**2 - z*d.
-2*d*(d + 1)/11
Suppose 0*g + 5*r = -2*g + 4, 5*g - 45 = 5*r. Let t(x) = 3*x**3 - 5*x**2 - 7*x - 4. Let u be t(g). What is a in -u + 731 + 4*a**4 + 12*a**3 + 4*a + 12*a**2 = 0?
-1, 0
Let d(b) be the third derivative of 3*b**7/70 + 23*b**6/100 + 7*b**5/100 - 11*b**4/10 + 6*b**3/5 + 98*b**2. What is s in d(s) = 0?
-2, 1/3, 3/5
Solve -32/3 - 16*j - 2/3*j**2 + 4*j**3 - 2/3*j**4 = 0 for j.
-1, 4
Factor 5/6*s**2 - 5/6 + 1/6*s**3 - 1/6*s.
(s - 1)*(s + 1)*(s + 5)/6
Let o(j) be the first derivative of -2/3*j**3 + 7*j**2 + 41 - 12*j. Factor o(z).
-2*(z - 6)*(z - 1)
Suppose -u + 2*s - 4 = -7, -3*s - 2 = -4*u. Let w(a) = a**3 - a**2 + a. Let y(j) = -9*j**3 + 25*j**2 - 21*j. Let b(k) = u*y(k) - 5*w(k). Factor b(c).
4*c*(c - 4)*(c - 1)
Suppose -5*i - 20 = 5*h, 121*h - 120*h + 4*i + 25 = 0. Let o be (4/(-10))/(2/(-10)). Factor -8/11*p**o + 4/11 - 10/11*p + 6/11*p**h.
2*(p - 2)*(p + 1)*(3*p - 1)/11
Let b(t) = 4*t - 8. Let d be b(10). Let x = d - 29. Factor 3*f + 2*f**2 - 120 + f**2 - 3*f**x + 117.
-3*(f - 1)**2*(f + 1)
Suppose 4 = 2*t + 4*p - 2, p + 30 = 4*t. Suppose 0 = 5*g - t - 3. Factor -5*w**2 + 6*w**2 + 3*w**g + 4*w**3 - 8*w.
4*w*(w - 1)*(w + 2)
Let 2/3 - 1/3*t**2 - 1/3*t = 0. Calculate t.
-2, 1
Let q(h) be the first derivative of -h**4/8 + 2*h**3/3 - h**2/4 - 3*h + 41. Let q(g) = 0. What is g?
-1, 2, 3
Let g = 71 + -51. Let y(z) = -2*z**2 - 18*z - 10. Let l(d) be the first derivative of 5*d**3 + 125*d**2/2 + 70*d + 70. Let o(m) = g*y(m) + 3*l(m). Factor o(h).
5*(h + 1)*(h + 2)
Let i be -2 - (-16)/4 - (-54)/(-32). Let h(o) be the first derivative of -2*o - 5 + i*o**4 + 5/2*o**2 - 1/40*o**5 - 11/8*o**3. Let h(l) = 0. Calculate l.
1, 4
Factor 0 + 3/4*d**4 - 3/4*d**2 + 1/4*d**5 + 0*d - 1/4*d**3.
d**2*(d - 1)*(d + 1)*(d + 3)/4
Let r = 48 - 45. Factor -177*t**3 - 10*t**4 - 5*t**2 + 0 + 162*t**r + 0.
-5*t**2*(t + 1)*(2*t + 1)
Let r(y) = 32*y**2 - 8*y - 40. Let p(j) = -j**3 - 33*j**2 + 7*j + 39. Let l(g) = 4*p(g) + 3*r(g). Suppose l(k) = 0. Calculate k.
-9, -1, 1
Let -10*k + 78/19*k**2 + 100/19 - 2/19*k**4 + 14/19*k**3 = 0. What is k?
-5, 1, 10
Let n(w) be the third derivative of -1/12*w**4 + 17*w**2 + 0*w + 1/150*w**5 + 0 - 2/5*w**3. Find d, given that n(d) = 0.
-1, 6
Let p(u) = -2*u**2 + 2. Let r(l) = 33*l**2 + 87*l + 54. Let i(d) = 18*p(d) + r(d). Factor i(t).
-3*(t - 30)*(t + 1)
Let i(o) be the second derivative of -o**4/16 - 3*o**3/4 + 21*o**2/8 + 88*o. Let i(b) = 0. Calculate b.
-7, 1
Let q(j) be the third derivative of -j**7/30 + 71*j**6/45 - 74*j**5/3 + 100*j**4/3 + 5*j**3/3 - 9*j**2. Let f(v) be the first derivative of q(v). Factor f(l).
-4*(l - 10)**2*(7*l - 2)
Let m(b) = b**2 + 8*b - 51. Let j be m(-11). Let o be (6/(-10))/3 - j/30. Factor 0 + 0*k + o*k**3 + 0*k**2.
2*k**3/5
Determine b so that 10*b**3 + 27/2*b**2 - 13*b + 3/2*b**4 - 12 = 0.
-4, -3, -2/3, 1
Let r(o) be the first derivative of 4/3*o**3 + 24 + 4*o**2 + 0*o. Factor r(p).
4*p*(p + 2)
Find s, given that -7/2*s**4 + s - 3*s**3 + 0 + 7/2*s**2 + 2*s**5 = 0.
-1, -1/4, 0, 1, 2
Suppose 0*n**2 + 5/2*n**4 + 10*n + 0 - 15/2*n**3 = 0. What is n?
-1, 0, 2
Suppose 36 = -1984*w + 1993*w. Let r(o) be the second derivative of -1/10*o**6 + 0 + 0*o**w - 1/7*o**7 + 3/20*o**5 + 0*o**2 + 0*o**3 - 4*o. Factor r(g).
-3*g**3*(g + 1)*(2*g - 1)
Suppose -104*v + 465 = 51*v. Let 1/3*l**5 - 1/3*l**2 + 0 + 0*l - 1/3*l**v + 1/3*l**4 = 0. What is l?
-1, 0, 1
Let l(n) be the second derivative of -7/30*n**5 + 2/9*n**4 + 0 + 1/15*n**6 + 0*n**2 + 0*n**3 + 31*n. Factor l(w).
2*w**2*(w - 1)*(3*w - 4)/3
Let j(t) = t**3 - t**2 + 3*t + 2. Let c be j(3). Find a, given that 26*a**3 + c*a**3 - 39*a**4 - 105*a**5 + 3*a**2 - 13*a**2 - a**4 = 0.
-1, 0, 2/7, 1/3
Let u(b) be the second derivative of b**4/90 - b**3/15 - 8*b**2/3 - 14*b - 1. What is k in u(k) = 0?
-5, 8
Suppose -4*v - z + 10 = -3*z, 5*v = -5*z - 25. Let t be 1*(v/(-4) - -3). Factor 3*m**4 + t*m - 3 - 2*m**3 + 0*m - 3*m**2 - m**5 + 2 + m**2.
-(m - 1)**4*(m + 1)
Let r be (-36)/(-14) - 4*(-18)/168. What is l in 38*l**3 - 19*l**4 - 3*l + 92*l**r - 16*l**4 - 65*l**2 - 27*l = 0?
-2/7, 0, 1, 3
Let s be (4/(-5))/((-30)/25). Let x be 1/10 - (-578)/1020. What is r in 0*r + 0 - 2/3*r**4 + 2/3*r**2 + s*r**5 - x*r**3 = 0?
-1, 0, 1
Let v(l) be the first derivative of 2*l**3 - 15/4*l**4 - 17 + 15/2*l**2 - 6*l. Factor v(f).
-3*(f - 1)*(f + 1)*(5*f - 2)
Let u be (-24)/(-9) - 3/(-9). Suppose -r + a = -u*a, -15 = -4*r + a. Factor -17 - 66*l**2 + 6*l**r + 16 - 9*l**4 + 72*l + 24*l**3 - 26.
-3*(l - 3)**2*(l - 1)**2
Let j(c) = 4*c**2 - 3*c - 3. Let i(q) = -q**2 + 1. Let s(b) = 3*i(b) + j(b). Let h(u) = -u**2 + u + 1. Let d(f) = 6*h(f) + 3*s(f). Factor d(r).
-3*(r - 1)*(r + 2)
Let g(i) be the third derivative of i**8/11200 + i**7/1400 - i**5/50 + i**4/3 + 9*i**2. Let m(r) be the second derivative of g(r). Factor m(o).
3*(o - 1)*(o + 2)**2/5
Determine y, given that 2/15*y**2 + 136/15*y + 134/15 = 0.
-67, -1
Let d(n) be the second derivative of n**5/25 + 22*n**4/15 + 64*n**3/5 - 576*n**2/5 - 67*n + 1. Let d(t) = 0. What is t?
-12, 2
Let o be 3*(-10)/140*(-2554)/506. Let z = o + 3/322. Determine g so that -18/11 - 2/11*g**2 - z*g = 0.
-3
Suppose 61*u = -63*u + 40*u + 7560. Factor -u*j + 3/2*j**4 + 15*j**3 + 39/2*j**2 + 54.
3*(j - 1)**2*(j + 6)**2/2
Let n(d) = -8*d**2 - 18*d - 8. Let h(b) = 3*b + 5. Let q be h(-3). Let i(o) = o**3 + 33*o**2 + 72*o + 31. Let c(v) = q*i(v) - 18*n(v). Factor c(z).
-4*(z - 5)*(z + 1)**2
Let f be (0 - -7)*(3 - (-54)/(-21)). Factor -15*d - 12*d**2 + 0*d**3 - d**f - 2*d**3 - 6.
-3*(d + 1)**2*(d + 2)
Find d, given that d**5 + 41*d - d**5 + 3*d**5 - 18*d**4 - 36*d**2 + 39*d**3 - 29*d = 0.
0, 1, 2
Suppose -1125 = 9*u - 0*u. Let y = u + 383/3. Factor -2/3*w**2 + 2*w + y.
-2*(w - 4)*(w + 1)/3
What is m in -3*m + 3*m**3 - 2 + 0*m**2 - 13*m**2 + 15*m**2 = 0?
-1, -2/3, 1
Let z(a) be the second derivative of a**5/20 + 7*a**4/6 + 65*a**3/6 + 50*a**2 + 96*a. Factor z(j).
(j + 4)*(j + 5)**2
Let g(j) be the third derivative of 0 - 3*j**2 + 0*j**3 - 1/270*j**5 + 0*j + 0*j**4. Factor g(x).
-2*x**2/9
Let d(k) be the first derivative of k**4/42 - 4*k**2/7 - 7*k - 6. Let i(r) be the first derivative of d(r). Factor i(s).
2*(s - 2)*(s + 2)/7
Let p = -1688/5 - -338. Determine j so that p*j + 1/5*j**2 + 1/5 = 0.
-1
Let z = -1808 - -1810. Let a(r) be the first derivative of -1/10*r**5 + r**z + 1/2*r**3 - 2*r + 11 - 1/4*r**4. Suppose a(b) = 0. Calculate b.
-2, 1
Suppose -15*j = -12*j - 15. Solve 282*f**3 - 115*f + 27 + 171*f**4 + 17*f**5 - 2*f - 6*f**2 - 7*f**j + 17*f**5 = 0 for f.
-3, -1, 1/3
Suppose 43 - 1 = 7*u. Determine c so that 0*c**2 + 2*c**4 + 4*c**5 - 10*c**3 + 4 + u*c + 5*c**4 - 10*c**2 - c**4 = 0.
-2, -1, -1/2, 1
Let c(s) be the first derivative of -s**4/28 - 43*s**3/21 + 60. Find w such that c(w) = 0.
-43, 0
Suppose 0 = 25*n - 23*n - 4. Let i(o) be the first derivative of 0*o**3 + 0*o - 3 - 1/8*o**4 + 1/4*o**n. Factor i(v).
-v*(v - 1)*(v + 1)/2
Let p(t) be the third derivative of -18*t**2 + 0*t**6 - 1/80*t**5 + 1/280*t**7 + 0*t**4 + 0*t + 0*t**3 + 2. Solve p(y) = 0 for y.
-1, 0, 1
Suppose -27 = -h + a - 9, -40 = -2*h + 4*a. Factor h*d**3 + 2*d**2 - 7*d**2 - 17*d**3.
-d**2*(d + 5)
Let o(u) be the second derivative of u**6/105 - u**5/70 - 2*u**4/21 + 4*u**3/21 + 20*u - 2. Factor o(a).
2*a*(a - 2)*(a - 1)*(a + 2)/7
Let p(n) be the third derivative of 0*n - 625/126*n**8 + 79/144*n**4 + 1/18*n**3 + 0 + 15*n**2 + 29/9*n**5 + 800/63*n**7 + 185/18*n**6. Solve p(g) = 0 for g.
-1/10, 2
Let r be -5 + 8 + -5 + -3. Let z be ((-54)/4)/9 - r/3. Factor -z*j**2 - 1/3*j - 1/6.
-(j + 1)**2/6
Let h be (-24)/30*(-10)/(-4)*-1. Factor -1/3 + 1/3*x**3 - x**h + x.
(x - 1)**3/3
Let b(h) be the second derivative of 49*h**5/4 + 280*h**4/3 + 290*h**3/3 + 40*h**2 - 6*h - 12. Solve b(k) = 0 for k.
-4, -2/7
Factor 0 + 4/9*p**4 - 44/9*p**3 + 140/9*p + 92/9*p**2.
4*p*(p - 7)*(p - 5)*(p +