75*j**5 - 46*j**2 + 0*j**3 + 1/60*j**6. Factor g(v).
2*v*(v - 1)*(v + 2)*(v + 4)/5
Let r = 10873/6513 - 6/2171. Let a(y) be the third derivative of -1/12*y**6 + 0 - 17*y**2 - 5/24*y**4 - 5/12*y**5 + 0*y + r*y**3. Find u, given that a(u) = 0.
-2, -1, 1/2
Find w such that 4/5*w**4 + 103492/5*w**2 + 1256/5*w**3 + 1498176/5 + 768672/5*w = 0.
-153, -4
Let p(k) = -2*k - 13. Let t be p(-9). Let j be 55 - t/(-10)*-6. Solve -45*z**2 + 12*z**2 + 405 - j*z**2 + 353*z - 38*z + 5*z**3 = 0.
-1, 9
Let w(j) be the third derivative of 2*j**2 + 9/40*j**5 + 0*j**3 + 36*j - 1/8*j**4 + 0 + 3/140*j**7 - 1/8*j**6. Solve w(v) = 0.
0, 1/3, 1, 2
Let n(l) = 3*l**2 + 26*l - 4. Let z be n(-9). Suppose -40*i**z + 293*i**4 - 269*i**4 + 44*i**5 - 22*i**2 - 18*i**2 + 12*i**3 = 0. What is i?
-5, -2, 0, 1
Let n(o) be the first derivative of 28*o**2 + 18*o**3 - 1/5*o**5 + 4*o**4 + 110 + 19*o. Solve n(f) = 0.
-1, 19
Find i, given that -321/5*i**3 - 34/5 + 53/5*i**2 + 321/5*i - 19/5*i**4 = 0.
-17, -1, 2/19, 1
Let k(c) be the first derivative of -2*c**3/21 + 1088*c**2/7 - 591872*c/7 - 2158. Factor k(n).
-2*(n - 544)**2/7
Let g(p) be the second derivative of -p**6/6 + 43*p**5/4 - 550*p**4/3 - 1210*p**3/3 - 17*p. Factor g(u).
-5*u*(u - 22)**2*(u + 1)
Let t(u) be the first derivative of -19*u**3/5 + 123*u**2/10 + 144*u/5 - 2743. Find i, given that t(i) = 0.
-16/19, 3
Let c(g) be the first derivative of 1/260*g**5 + 0*g**4 + 0*g + 19/3*g**3 + 1/2340*g**6 - 10 + 0*g**2. Let a(k) be the third derivative of c(k). Factor a(l).
2*l*(l + 3)/13
Let n(r) = 6*r**2 - 428*r + 7443. Let a be n(30). Let t be 0 - (-1 - (-1)/(-1)). Factor 3/4 - 1/4*z**a - 3/4*z**t + 1/4*z.
-(z - 1)*(z + 1)*(z + 3)/4
Let b(q) be the first derivative of q**6/18 - 886*q**5/15 - 1775*q**4/12 - 296*q**3/3 - 7807. Factor b(g).
g**2*(g - 888)*(g + 1)**2/3
Let b(r) be the second derivative of -r**7/3360 - r**6/72 - 37*r**5/480 - 3*r**4/16 + 21*r**3/2 + 76*r. Let i(y) be the second derivative of b(y). Factor i(d).
-(d + 1)**2*(d + 18)/4
Suppose -6*g = -25 - 11. Let o(u) = u**2 + 4. Let z(i) = 7*i**2 + 24. Let m(a) = g*z(a) - 39*o(a). Suppose m(v) = 0. What is v?
-2, 2
Determine u so that -4*u**3 + 35*u**2 + 295*u**2 + u**3 - 648*u = 0.
0, 2, 108
Let z(a) be the third derivative of a**6/1020 - a**5/102 - 11*a**4/102 + 56*a**3/51 + 20*a**2 - 45*a. Suppose z(d) = 0. What is d?
-4, 2, 7
Let k = -915 + 175. Let l = k + 742. Find s such that 0 - 3/2*s**l + 0*s = 0.
0
Suppose 0 = 3*t - y - 1, -3*t - 2 = 2*y - 0*y. Suppose 13 = 2*f - 2*l - 7, 3*f - 2*l - 28 = t. Factor 3*s**5 + 0*s**4 - s**3 - 2*s**4 - 4*s**4 - f*s**3.
3*s**3*(s - 3)*(s + 1)
Let h(g) be the second derivative of 1/3*g**2 + 1/72*g**4 - 31*g - 5/36*g**3 + 2. What is b in h(b) = 0?
1, 4
Let j(c) be the second derivative of -1/90*c**5 - 5*c - 6 + 23/9*c**4 + 97336/9*c**2 - 2116/9*c**3. Factor j(m).
-2*(m - 46)**3/9
Let y = -526 - -1111. Let d = y + -577. Suppose 4*l**2 + 16/5 - 6/5*l**4 + d*l - 2*l**3 = 0. What is l?
-2, -1, -2/3, 2
Let g = -1467836 + 13210559/9. Let 1/9*s**5 - 35/9*s**2 + 4*s + 0 - 37/9*s**3 + g*s**4 = 0. What is s?
-36, -1, 0, 1
Factor -4/3*y**3 + 328/3 - 500/3*y + 176/3*y**2.
-4*(y - 41)*(y - 2)*(y - 1)/3
Let i(f) = -4*f**2 - 76*f - 66. Let h be i(-18). Let k be (4 + -6)/((-2 - h)/8). Let -1/12*s**k - 1/4*s + 0 = 0. What is s?
-3, 0
Let j(r) be the first derivative of r**6/120 - r**5/10 + 3*r**4/8 - 31*r**3/3 + 32. Let f(h) be the third derivative of j(h). Suppose f(t) = 0. What is t?
1, 3
Let z = 3/8752 - -17471/96272. Factor -2/11*k**2 + z - 2/11*k + 2/11*k**3.
2*(k - 1)**2*(k + 1)/11
Let y(w) = 2*w**3 - 61*w**2 - 29*w - 59. Let n be y(31). Factor n*s**2 + 42 + 14 + 22*s + 2*s - 2*s - s**2.
2*(s + 4)*(s + 7)
Let t(a) be the second derivative of -a**7/14 + a**6 - 93*a**5/20 + 13*a**4/2 + 14*a**3 - 60*a**2 + 4999*a. What is r in t(r) = 0?
-1, 2, 5
Let n(q) = -q**3 + 1. Let z(p) = -9*p**3 + 72*p**2 - 576*p + 1542. Suppose 2*x - 7*x - 5 = 0. Let k(b) = x*z(b) + 6*n(b). Factor k(v).
3*(v - 8)**3
Factor -12/7 + 8/7*a - 1/7*a**2.
-(a - 6)*(a - 2)/7
Suppose -5*a + 325 = -4*d + 154, 3*a = -3*d + 108. Let c(m) = -m**3 + 34*m**2 + 31*m + 140. Let g be c(a). Let -3/2*k**3 + 9*k - 15/2*k**2 + g = 0. What is k?
-6, 0, 1
Suppose 3 = 3*c, -2*s - c - 109 + 116 = 0. Let d(p) be the first derivative of -4/13*p**2 + 8/39*p**s - 1/26*p**4 + 0*p - 10. Find h such that d(h) = 0.
0, 2
Let s(o) be the third derivative of -o**7/525 - 19*o**6/300 + 32*o**5/75 - 11*o**4/15 + 817*o**2. Determine m, given that s(m) = 0.
-22, 0, 1, 2
Let h = 6/85 + -7877/85. Let m = -1379/15 - h. Factor 1/2*o - m*o**2 + 0.
-o*(4*o - 3)/6
Let f(r) = -6*r**2 - 97*r + 2718. Let o(w) = w**2 - w - 2. Let q be (6 - 34)*(-27)/36. Let h(x) = q*o(x) + 3*f(x). Factor h(s).
3*(s - 52)**2
Let j(f) = f**3 + 8*f**2 + 16*f + 8. Let w be j(-4). Solve 135 + 137 - w*h + 6*h**2 - 272 + 4*h**4 + 18*h**3 = 0 for h.
-4, -1, 0, 1/2
Suppose 0 = 4*n - 4*a - 64, 5*n - a = 3*a + 78. Let s be (12/n)/((-130)/(-1092)). Factor 48/5*x + s*x**2 + 6/5*x**4 - 48/5*x**3 - 42/5.
6*(x - 7)*(x - 1)**2*(x + 1)/5
Suppose -5*u + 5 = -3*x, -26 = -4*x - 2*u + 2. Factor x*f**2 + 4805 + 207*f + 59*f + 44*f.
5*(f + 31)**2
Let z = 1147 - 726. Let w = 1264/3 - z. Factor w*y + 0*y**4 + 0*y**2 - 2/3*y**3 + 0 + 1/3*y**5.
y*(y - 1)**2*(y + 1)**2/3
Suppose 5*s - 330 = -3*l, -96 = -2*s - 2*l + 36. Let y be (459/s - 7)*-8. Factor 2/11*k**2 - y - 2/11*k.
2*(k - 2)*(k + 1)/11
Let -9*k**3 + 609*k**2 + 55*k + 39 - 592*k**2 + 10*k**3 = 0. Calculate k.
-13, -3, -1
Let v(k) be the third derivative of -k**5/15 - 449*k**4/3 + 1798*k**3/3 + 514*k**2 - 2. Determine a so that v(a) = 0.
-899, 1
Let o(d) be the second derivative of d**5/110 + d**4/22 - 812*d. Let o(s) = 0. Calculate s.
-3, 0
Let k(a) be the first derivative of a**4/18 - 13*a**3/9 - 3*a + 43. Let h(b) be the first derivative of k(b). Determine g so that h(g) = 0.
0, 13
Suppose -343*k + 460 + 634 = 65. Suppose 0 + 0*w + 4*w**2 + 4/7*w**k = 0. What is w?
-7, 0
Let c(q) be the first derivative of -q**5 + 35*q**4/2 + 455*q**3/3 + 190*q**2 - 10300. Determine y so that c(y) = 0.
-4, -1, 0, 19
Let l(t) be the first derivative of t**5 + 115*t**4/4 - 6160*t**3/3 + 24990*t**2 + 4717. Solve l(z) = 0 for z.
-51, 0, 14
Let o be (12/(-26))/(846/(-282)). Factor -2/13*s - 2/13*s**4 - o*s**5 - 2/13 + 4/13*s**3 + 4/13*s**2.
-2*(s - 1)**2*(s + 1)**3/13
Let j(x) = -5*x**4 + 213*x**3 + 574*x**2 + 404*x - 4. Let z(g) = 33*g**4 - 1491*g**3 - 4029*g**2 - 2829*g + 27. Let k(w) = -27*j(w) - 4*z(w). Factor k(v).
3*v*(v + 1)*(v + 2)*(v + 68)
Factor 0*q - 36*q**3 + 220/3*q**2 - 1/3*q**4 + 0.
-q**2*(q - 2)*(q + 110)/3
Let b be (-673)/3 + (-8)/(64/24). Let g = 230 + b. Factor 0 - 4/3*h**3 - 4/3*h**2 + g*h.
-4*h*(h - 1)*(h + 2)/3
Let x(h) be the first derivative of -108*h**4 + 50 - 468/5*h**3 + 0*h - 128/15*h**6 - 1344/25*h**5 - 162/5*h**2. Suppose x(c) = 0. What is c?
-3, -3/4, 0
Let x(s) be the first derivative of -s**5/15 + s**4/2 - 4*s**3/3 - 35*s**2 - 79. Let t(l) be the second derivative of x(l). Find h such that t(h) = 0.
1, 2
Suppose -212552/13 - 1306/13*t**2 - 213856/13*t - 2/13*t**3 = 0. What is t?
-326, -1
Let 342*n + 4*n**2 + 269*n - 1104 - 451*n = 0. Calculate n.
-46, 6
Suppose 65 = 2*t + 3*c, 6*t - 103 = 2*t + 3*c. Let d be (-44)/(-42) - t/(-98). Solve d*h**4 + 4/9 + 32/9*h**2 - 2*h - 2/9*h**5 - 28/9*h**3 = 0 for h.
1, 2
Suppose -5*s + 50 = -5*o, 2*o + 28 = 3*s + s. Let k be o/((-1)/(9/6)). Solve -13*m + 6*m - k*m + 5*m**2 + m - 20 = 0 for m.
-1, 4
Suppose -2*m + 58 = -6*o, 3*o = -2*m - o - 32. Factor 8/3*j**m + 0 + 0*j + 10/3*j**3.
2*j**2*(5*j + 4)/3
Let y = 72049 + -72046. Factor -3/5*g**y - 9/5*g**2 + 12/5*g + 36/5.
-3*(g - 2)*(g + 2)*(g + 3)/5
Let l(c) = -c**4 + c**2 - c - 1. Let h(x) be the first derivative of -9*x**5/5 - 15*x**4 - 21*x**3 - 7*x**2/2 + 5*x - 1. Let q(n) = h(n) + 5*l(n). Factor q(z).
-2*z*(z + 1)*(z + 3)*(7*z + 2)
Let t(l) = l**2 - 1. Let s(j) = -4*j**2 - j + 2. Let y(v) = s(v) + 3*t(v). Let f(r) = 2*r**2 + 5*r + 3. Let d(o) = 5*f(o) + 15*y(o). Factor d(m).
-5*m*(m - 2)
Let y(k) be the third derivative of 0*k + 4/15*k**5 - 25/12*k**4 + k**2 + k**3 - 29. Let y(q) = 0. Calculate q.
1/8, 3
Suppose 2 - 5 + 3 = 7008*j - 0. What is h in j - 18*h - 2/7*h**2 = 0?
-63, 0
Let y(s) be the third derivati