t t = l + -30. Factor -24*q - 16 + t*q**2 + 22 + 14.
4*(q - 5)*(q - 1)
Let n be (-8)/(-2) - (-4 - (2 + -8)). Factor -126*u + 3*u**n - 937 + 1150 + 1110.
3*(u - 21)**2
Let j be 2722/(-532)*(-8)/(-6). Let a = -126/19 - j. Factor 0 + 2/3*k**4 + 22/21*k**2 + 32/21*k**3 + a*k.
2*k*(k + 1)**2*(7*k + 2)/21
Let k = 719 + -714. Suppose -10 = -2*x - 2*y, -29 = -4*x - k*y - 9. Determine v so that -1/7*v**x + 0*v + 0 + 0*v**3 + 1/7*v**4 + 0*v**2 = 0.
0, 1
Factor -28*i - 37*i**2 + 56*i**2 + 73*i - 196 - 12*i**2 - 6*i**2.
(i - 4)*(i + 49)
Let j(h) = -2*h**2 - 16*h - 3. Let m(x) = -x + 1. Let i(z) = j(z) - m(z). Let u be i(-7). Factor -4/7*w + 0 - 8/7*w**4 - 16/7*w**2 - 20/7*w**u.
-4*w*(w + 1)**2*(2*w + 1)/7
Let j = 34 - 32. Find h such that -9*h**4 + 3*h**3 + 273*h - 243*h + 27*h**3 + 69*h**j = 0.
-1, -2/3, 0, 5
Let i(g) be the second derivative of -2*g**7/21 + 4*g**6/5 - 11*g**5/5 + 2*g**4/3 + 8*g**3 - 16*g**2 + 3128*g. Solve i(h) = 0.
-1, 1, 2
Let w(g) = -10*g**2 - 356*g - 4668. Let c(h) = 3*h**2 - 2. Let b(i) = 2*c(i) + w(i). Factor b(x).
-4*(x + 16)*(x + 73)
Let y(d) be the third derivative of 27*d**7/70 - 53*d**6/20 - 143*d**5/20 - 5*d**4/4 - 3458*d**2. Solve y(w) = 0.
-1, -2/27, 0, 5
Let g(c) be the second derivative of 3*c**5/80 - 43*c**4/24 + 401*c**3/24 - 115*c**2/4 - 2*c - 1429. Suppose g(s) = 0. What is s?
2/3, 5, 23
Let y(f) be the first derivative of 3*f**5/25 + 3*f**4/2 - 3*f**3/5 - 42*f**2/5 + 12*f + 4050. Suppose y(c) = 0. What is c?
-10, -2, 1
Let t be (9/12)/(5/((-80)/(-6))). Let c = -4 + 7. Let -4*s**3 + 0*s**4 - 8*s**t + 12*s**c - 2*s**4 = 0. What is s?
0, 2
Let j be ((-3)/9)/((-1)/3) - (-10 + 7). Let g(f) be the third derivative of 0*f**3 - 1/200*f**6 + 0*f**5 + 0 + 0*f + 1/40*f**j + 47*f**2. Factor g(w).
-3*w*(w - 1)*(w + 1)/5
Let k = -726 + 729. Let n(z) be the first derivative of 0*z - 7 - 4/7*z**2 + 2/21*z**k. Factor n(x).
2*x*(x - 4)/7
Let y(c) = 106*c**4 + 1187*c**3 - 928*c**2 - 10. Let q(u) = 285*u**4 + 3165*u**3 - 2475*u**2 - 27. Let h(t) = 10*q(t) - 27*y(t). Suppose h(v) = 0. Calculate v.
-34, 0, 3/4
Determine r so that 67/4*r**2 - 33/2*r - 1/4*r**3 + 0 = 0.
0, 1, 66
Let n(l) be the second derivative of l**5/4 + 215*l**4/6 - 15*l**3/2 - 1935*l**2 - 104*l - 22. Factor n(y).
5*(y - 3)*(y + 3)*(y + 86)
Let x(o) = -2*o**2 + 102*o - 100. Let c(a) = -a**2 + 34*a - 33. Let g(t) = -8*c(t) + 3*x(t). Factor g(p).
2*(p - 1)*(p + 18)
Let g be (-22)/(-30) + (-1)/3. Let r be (-74 - 45560/(-612))/((-2)/(-9)). Factor -22/15*k + 2/5 + g*k**3 + 2/3*k**r.
2*(k - 1)*(k + 3)*(3*k - 1)/15
Let u(f) be the second derivative of f**5/15 + 6*f**4 - 338*f**3/9 + 76*f**2 + 939*f. What is k in u(k) = 0?
-57, 1, 2
Suppose -382*j + 1755 = 125*j + 1473*j - 2205. Suppose 3746/3*u**j + 1352/3 + 3952/3*u - 98/3*u**4 + 2/3*u**5 + 1046/3*u**3 = 0. What is u?
-1, 26
Let g(l) be the third derivative of l**5/150 + 3*l**4/20 + 2131*l**2. Factor g(d).
2*d*(d + 9)/5
Let d(k) = -8*k**5 + 15*k**4 - 3*k**3 - 28*k**2 + 11*k + 6. Let f(r) = -r**5 + r**4 + r**3 - 2. Let o(s) = 2*d(s) - 14*f(s). Find c, given that o(c) = 0.
-1, 1, 4, 5
Suppose -30 + 18 = -6*d. Factor 14*k**2 + 25*k - 3*k**2 - 6*k**d.
5*k*(k + 5)
Suppose 245*p + 24 = 251*p. Find c such that 8*c**2 - 98*c**5 + 5*c**3 - 2*c**p + 198*c**5 + 4*c - 2*c**3 - 101*c**5 = 0.
-2, -1, 0, 2
Let -4762 - 1454 + 332*y**2 + 1016 - 28*y**4 + 156*y**5 - 356*y**3 - 152*y**5 + 3520*y = 0. Calculate y.
-5, 2, 13
Let v(n) be the third derivative of 92*n**2 + 4*n**3 + 0 + 4/15*n**5 + 0*n + 1/30*n**6 - 11/6*n**4. Factor v(l).
4*(l - 1)**2*(l + 6)
Let t(a) = 18*a**2 - 39*a + 10. Let w be t(2). Let i(b) be the second derivative of 0 + 10*b**2 + 28/3*b**3 + 11*b - b**w. Determine u, given that i(u) = 0.
-1/3, 5
Suppose 2*p - 390 = 370. Let r be -6 + (1 - -8)*(8 - 7). Factor 392*s**2 + 7*s**4 - p*s**2 + 8*s**4 - 24*s**3 - r*s**5.
-3*s**2*(s - 2)**2*(s - 1)
Determine h, given that 53/2*h**2 + 0 - 4*h**3 - 3/2*h**4 - 21*h = 0.
-6, 0, 1, 7/3
Let d(b) = 30*b + 65. Let x be d(-2). Let y(p) be the first derivative of -18 + 4/5*p**x - 2*p**4 + 0*p**2 + 4/3*p**3 + 0*p. Factor y(a).
4*a**2*(a - 1)**2
Let i = -239/13 + 11477/637. Let v = -5/147 - i. Find t, given that -1/3*t**3 - 1/6*t**4 + 1/6*t**2 + 0 + v*t = 0.
-2, -1, 0, 1
Let c(t) be the third derivative of -t**6/540 - 28*t**5/135 + 305*t**4/108 + 8683*t**2. Solve c(g) = 0 for g.
-61, 0, 5
Let l = -652 + 655. Solve -52*o**2 - 22 - 65*o**3 + 67*o**l - 2*o + 74*o**2 = 0 for o.
-11, -1, 1
Let j(s) = s**2 + 50*s + 192. Let u be j(-46). Let t(w) be the second derivative of 10/3*w**3 + 19*w + 0 - u*w**2 - 1/3*w**4. Factor t(k).
-4*(k - 4)*(k - 1)
Let 42*b + 3/4*b**2 - 3/4*b**3 + 108 = 0. Calculate b.
-4, 9
Let g(w) = -3*w - 8. Let c be g(-6). Let h(x) = -x**2 + 8*x + 2. Let o be h(8). Factor -10*s**4 + c*s**2 - 4*s**5 + o*s**4 - 2*s**4 + 9*s**5 - 5*s.
5*s*(s - 1)**3*(s + 1)
Let h(r) be the second derivative of -1/35*r**5 + 1 + 0*r**3 - r - 1/7*r**4 + 0*r**2. Find j such that h(j) = 0.
-3, 0
Let g(r) be the first derivative of -5*r**4/4 - 410*r**3/3 - 400*r**2 - 4149. Factor g(i).
-5*i*(i + 2)*(i + 80)
Let y(j) be the second derivative of j - 26 - 1/2*j**3 - 2*j**2 + 1/12*j**4. Let y(v) = 0. What is v?
-1, 4
Let n(u) = 5*u**3 + 25*u**2 - 150*u - 200. Let w(x) = 12*x**3 + 61*x**2 - 375*x - 502. Let q(h) = 13*n(h) - 5*w(h). What is i in q(i) = 0?
-6, -1, 3
Let j be 0*(55/(-10) - -6). Determine c, given that j*c - c**3 + 7*c - 39 + 33 = 0.
-3, 1, 2
Let r be (1925/(-10))/(-55) - 2. Suppose 7/4 - r*j - 1/4*j**2 = 0. Calculate j.
-7, 1
Let m(t) be the third derivative of t**6/900 - t**5/6 - 26*t**4/15 - 316*t**3/45 + 2*t**2 - 55*t. Determine f, given that m(f) = 0.
-2, 79
Factor -2/9*j**2 + 0 + 64/9*j.
-2*j*(j - 32)/9
Suppose 0*c - 4*c = -5*u + 25, 0 = u - 5*c - 5. Suppose 35*m - 20*m**2 + 35*m**u + 10 - 5 - 55*m**3 + 10*m**4 - 15*m**3 + 5 = 0. Calculate m.
-1, -2/7, 1
Factor -2210/3*x + 736 + 2/3*x**2.
2*(x - 1104)*(x - 1)/3
Let z(v) be the first derivative of v**6/30 + v**5/2 + 2*v**4 + 11*v**3/3 + 7*v**2/2 + 29*v + 70. Let f(d) be the first derivative of z(d). Factor f(y).
(y + 1)**3*(y + 7)
Let b(x) = -28*x**3 - 484*x**2 - 10552*x - 64220. Let m(r) = 6*r**3 - r. Let j(q) = -b(q) - 4*m(q). Let j(y) = 0. What is y?
-95, -13
Let a(d) = -d**3 + 12*d**2 + 28*d + 10. Let l be a(14). Let q be (4/l)/((-3)/(-20)) - 2. Factor -1/3*i - q + 2/3*i**2 + 1/3*i**3.
(i - 1)*(i + 1)*(i + 2)/3
Let t(z) = -5*z**2 + 151*z. Let x(i) = -3*i + 40. Let a be x(12). Let q(f) = -45*f**2 + 1360*f. Let l(p) = a*q(p) - 35*t(p). Factor l(j).
-5*j*(j - 31)
Let w(d) be the second derivative of -3*d**5/50 - 98*d**4/5 + 396*d**3/5 + 1949*d. Solve w(j) = 0.
-198, 0, 2
Suppose 2*q - 67 = -39. Find p, given that 2*p**3 + 3*p**4 - 1 + 104*p - 108*p - 6*p**3 - q*p**2 + 0*p**2 + 4 = 0.
-1, 1/3, 3
Factor 4/3*y**2 - 116/3*y - 128.
4*(y - 32)*(y + 3)/3
Let w = -892/39 - -983/39. Determine u so that 0 - 52/3*u**2 - w*u**4 + 10*u**3 + 32/3*u + 1/6*u**5 = 0.
0, 2, 8
Let u be (3 + -15)*(-2)/12. Factor 4085 + 3808 - 2113 + u*x**2 + 3*x**2 - 340*x.
5*(x - 34)**2
Let s(g) be the first derivative of -2*g**5/5 + 36*g**4 - 554*g**3/3 + 342*g**2 - 272*g + 7726. Suppose s(z) = 0. Calculate z.
1, 2, 68
Let i be (1 + 1)/((-20)/(-430)). Suppose 20 = -5*t + 330. Find q such that -4*q**2 + i*q**3 + 29*q**3 - t*q**3 = 0.
0, 2/5
Solve 1590 + 24043*k**2 + 11759*k**3 - 671*k - 788 + 785*k**3 - 799 + 13365*k**2 = 0.
-3, 1/112
Let q = 41930 - 335431/8. Factor q*o + 3/2 - 9/8*o**3 + 3/8*o**4 - 15/8*o**2.
3*(o - 4)*(o - 1)*(o + 1)**2/8
Let p(v) be the second derivative of -2/9*v**3 + 88*v - 4/45*v**6 - 4/9*v**4 + 0*v**2 - 1/3*v**5 + 0. Determine m, given that p(m) = 0.
-1, -1/2, 0
Let 6/5*v**3 - 12*v - 47/5*v**2 + 1/5*v**4 + 20 = 0. Calculate v.
-10, -2, 1, 5
Let c(j) be the second derivative of 9/10*j**5 + 2 - 78*j + 1/10*j**6 + 0*j**3 + 0*j**2 + 0*j**4. Factor c(d).
3*d**3*(d + 6)
Let s(q) be the second derivative of -137/12*q**4 + 3 + 90*q - 5*q**3 + 0*q**2 - 9/20*q**5. Let s(a) = 0. What is a?
-15, -2/9, 0
Let o(g) be the first derivative of -g**5/4 + 5*g**4/2 - 55*g**3/6 + 15*g**2 + 49*g - 90. Let f(s) be the first derivative of o(s). Factor f(b).
-5*(b - 3)*(b - 2)*(b - 1)
Suppose 4*o + 2*y - 150 = -16, 0 = o + 2*y - 32. Let i = o - 32. Factor 0 + 0*v - 1/4*v**