 + 58665 - 58769. Factor 0 + 0*v - 104/3*v**3 + 4/3*v**4 + 100/3*v**f.
4*v**2*(v - 25)*(v - 1)/3
Let v be ((-9)/(-135))/((-97)/388*(-2)/5). Suppose -4/3*d**2 + 2/3*d**4 + 0 - v*d**3 + 0*d = 0. Calculate d.
-1, 0, 2
Let t(n) be the third derivative of n**6/30 - 53*n**5/15 + 851*n**4/6 - 7406*n**3/3 + 3002*n**2. Factor t(o).
4*(o - 23)**2*(o - 7)
Let m(c) be the first derivative of -c**4/3 - 890*c**3/27 - 8288*c**2/9 - 2738*c/9 + 137. Suppose m(n) = 0. What is n?
-37, -1/6
Factor 204 + 23*o + 343*o + 39 - o**2 + 277 + 216.
-(o - 368)*(o + 2)
Find y, given that 3/4*y**3 - 3/4*y + 147/2 - 147/2*y**2 = 0.
-1, 1, 98
Let t(y) = y**2 + 13*y + 25. Let m be -6 - 125/(-35) - 30/(-70). Let w be t(m). Find c, given that -5/4*c**5 - 5/4*c + 5/2*c**2 - 5/4 - 5/4*c**4 + 5/2*c**w = 0.
-1, 1
Suppose -5424/5 - 1372/5*f**2 - 1088*f - 4/5*f**3 = 0. What is f?
-339, -2
Let k(l) be the first derivative of -l**4/8 + 26*l**3/3 - 101*l**2/4 + 25*l + 231. Solve k(x) = 0.
1, 50
Let u be 60/(-8)*(3306/(-190) + 17). Factor -160*s + 75 + 1/3*s**4 + 286/3*s**2 - 32/3*s**u.
(s - 15)**2*(s - 1)**2/3
Let y(d) be the first derivative of -d**7/273 + 2*d**6/195 - d**4/39 + d**3/39 - 97*d + 79. Let c(f) be the first derivative of y(f). What is j in c(j) = 0?
-1, 0, 1
Suppose 0 = 5*t - a + 2*a - 179, 147 = 4*t - 3*a. Let j be (10/6)/(110/7524). Find x such that -x**2 - j + 6 - 2*x**2 - t*x = 0.
-6
Let f(i) be the third derivative of -i**6/600 - 211*i**5/300 - 419*i**4/120 - 209*i**3/30 + 265*i**2. Factor f(u).
-(u + 1)**2*(u + 209)/5
Factor -7442/7*u**2 - 2048/7 - 7808/7*u.
-2*(61*u + 32)**2/7
Let s(v) = -4*v**3 + 3*v**2 + 15*v - 6. Let p(u) = 4 + u**2 - 2*u**2 - 7*u + 275*u**3 - 273*u**3. Let t(d) = 7*p(d) + 4*s(d). Determine j, given that t(j) = 0.
-1, -1/2, 4
Let s(j) = 7*j**2 - 390*j - 412. Let d(p) = 22*p**2 - 1168*p - 1240. Let z(r) = -3*d(r) + 10*s(r). Factor z(b).
4*(b - 100)*(b + 1)
Suppose 2/13*c**5 + 2*c**4 + 2/13*c + 2 - 4*c**2 - 4/13*c**3 = 0. Calculate c.
-13, -1, 1
Let z(h) = -6*h**4 + 1930*h**3 - 1900*h**2 + 40*h - 8. Let c(r) = 4*r**4 - 1286*r**3 + 1267*r**2 - 25*r + 5. Let w(v) = 8*c(v) + 5*z(v). Solve w(o) = 0 for o.
0, 1, 318
Suppose -2*h**4 + 0*h + 0 + 4/5*h**2 + 4/5*h**5 + 2/5*h**3 = 0. Calculate h.
-1/2, 0, 1, 2
Solve -26*o**4 - 48*o + 22*o**4 - 23*o**2 + 31*o**2 + 44*o**2 = 0.
-4, 0, 1, 3
Suppose 4*z + 22 = 5*h, h - z - 3*z = -2. Suppose 4*m + 1 = -5*x + 15, h = 2*m + 3*x. Solve -3*a**2 + 0 - m + 1 - 2*a**2 - 10*a = 0 for a.
-1
Suppose 33*l - 35*l = -3*z - 12, -z - 2*l + 12 = 0. Let s(o) be the third derivative of 0*o - 1/15*o**5 + z + 14*o**2 + 0*o**4 + 2/3*o**3. Factor s(w).
-4*(w - 1)*(w + 1)
Let a be 2 + (-3)/((-18)/(-12)). Let k(u) be the third derivative of 0*u + a - 1/30*u**4 + 19*u**2 + 1/150*u**5 + 1/15*u**3. Find i, given that k(i) = 0.
1
Suppose 10*h - 176 = -12*h. Let r be h - 4 - (-7 - -11). Solve 2/5*m**4 + r*m**2 - 2/5*m**5 + 0*m**3 + 0*m + 0 = 0.
0, 1
Let g(s) = -112*s - 2*s**4 + 4*s**3 + 5*s**3 + 156*s**2 - 73*s**3 + 2*s**5. Let u(j) = -j**4 - j**3 + j**2. Let a(y) = g(y) - 4*u(y). Factor a(k).
2*k*(k - 2)**3*(k + 7)
Let p be (4/210*7)/((-411)/(-1370)). Suppose 2*t - 4/3*t**4 - 32/9*t**2 - p + 2/9*t**5 + 28/9*t**3 = 0. Calculate t.
1, 2
Let d = -694 - -698. Suppose 4*b**d - 1330*b**2 + 663*b**2 - b**5 + 667*b**2 - 3*b**3 = 0. Calculate b.
0, 1, 3
Let d be (-4 + -5 - -1) + -46. Let q be (16 - (-819)/d) + 208/6. Factor -6 + 9/2*j**4 + 15/2*j**3 - 101/2*j**2 - q*j.
(j - 3)*(j + 4)*(3*j + 1)**2/2
Let n(s) be the second derivative of -15*s - 16/15*s**6 - 2/3*s**3 + 0 - 4/5*s**5 - 4*s**2 + 10/21*s**7 + 10/3*s**4. Solve n(g) = 0 for g.
-1, -2/5, 1
Factor 196*p - 28812 - 1/3*p**2.
-(p - 294)**2/3
Let l(w) = w**3 + 8*w**2 + 17*w + 70. Suppose -61*r = -64*r - 21. Let g be l(r). Factor g*h**2 + 0*h - 3/4*h**4 + 0*h**3 + 0.
-3*h**4/4
Suppose 100/3*c**4 - 150*c + 0 + 2935/3*c**2 - 4565/3*c**3 = 0. Calculate c.
0, 1/4, 2/5, 45
Suppose -3*z - 3*z = -6. Let w be z*(6 + 0 - 15/5). Factor -15*g**w + 10*g**3 - 5*g - 7*g**2 + 10*g**2 + 7*g**2.
-5*g*(g - 1)**2
Let w = 23807 + -23807. Let g(v) be the second derivative of -2/35*v**5 + 1/105*v**6 + w*v**2 - 1/42*v**4 - 36*v + 4/21*v**3 + 0. Factor g(p).
2*p*(p - 4)*(p - 1)*(p + 1)/7
Let s(v) = -37*v**2 - 84*v - 12. Let h(g) = -18*g**2 - 37*g - 5. Let z(j) = -5*h(j) + 2*s(j). Determine i so that z(i) = 0.
-1, -1/16
Let y(x) be the third derivative of -3*x**2 - 1/280*x**6 + 1/294*x**7 + 1/56*x**4 + 0 + 7*x - 1/60*x**5 + 1/21*x**3. Suppose y(z) = 0. Calculate z.
-1, -2/5, 1
What is v in -1281*v**2 - 339*v**2 - 126*v**3 - 294*v - 7763*v**4 - 5538*v + 7760*v**4 = 0?
-18, -6, 0
Let b(j) be the second derivative of 1/5*j**5 + 1/21*j**4 - 2/21*j**6 + 8/7*j**2 + j + 2/147*j**7 - 16/21*j**3 + 1. Determine z so that b(z) = 0.
-1, 1, 2
Suppose 0 = -13*g - 0*g + 117. Let z be ((-2)/((-6)/g) - 1) + 0. Factor 2*y**2 + y**z + 0*y**2 - 12*y - 15.
3*(y - 5)*(y + 1)
Suppose 0 = -10*q - 48 + 148. Suppose -3*c = -o - q, 5*o - 3*c = -2*c + 20. Determine u, given that -32 + 2*u**2 - u**o + 13 + 4*u**3 + 17 - 3*u = 0.
-1, 1, 2
Let w(a) be the first derivative of -134 - 2/5*a**3 + 0*a - 3/20*a**4 + 9/10*a**2. Suppose w(u) = 0. Calculate u.
-3, 0, 1
Let q = -113 + 109. Let h be (-42)/12 + (6 - q/(-2)). Solve 8 + 9/2*x**2 + h*x**3 + 12*x = 0.
-4, -1
Let g(h) be the third derivative of h**6/600 - h**5/100 - 3*h**4/40 + h**3/2 - 107*h**2. Let s(f) be the first derivative of g(f). Find m such that s(m) = 0.
-1, 3
Let f(n) be the first derivative of -n**5/210 + n**4/42 + 3*n**2/2 - 12*n + 10. Let l(o) be the second derivative of f(o). Factor l(x).
-2*x*(x - 2)/7
Suppose -1104/7*a - 284/7*a**2 + 0 - 2/7*a**3 = 0. What is a?
-138, -4, 0
Let x(d) = -2*d**4 - 4*d**3 - 4*d**2 - 2*d + 12. Let g(j) = -j**4 - 3*j**3 + j**2 + j + 2. Let s(u) = 6*g(u) - 2*x(u). Solve s(m) = 0 for m.
-6, -1, 1
What is o in 102*o**3 - 9*o + 12*o**2 - 44*o**3 - 61*o**3 = 0?
0, 1, 3
Let b(h) = 9*h**4 + 77*h**3 + 239*h**2 + 268*h + 112. Let a(m) = -28*m**4 - 232*m**3 - 716*m**2 - 800*m - 336. Let u(d) = -5*a(d) - 16*b(d). Factor u(i).
-4*(i + 1)**2*(i + 2)*(i + 14)
Let 2/15*f**5 + 2/15*f**4 + 8/15*f + 8/15 - 2/3*f**3 - 2/3*f**2 = 0. Calculate f.
-2, -1, 1, 2
Let i(v) be the third derivative of 0*v**4 + 0*v**3 - 3/70*v**7 + 9/10*v**5 - 3*v + 0 + 11*v**2 + 5/8*v**6. Factor i(o).
-3*o**2*(o - 9)*(3*o + 2)
Suppose 0 = -b - b - 3*i + 24, -16 = -4*i. Let j be (-2)/4 + 1008/224. Find w such that b*w**3 - w**3 - 13*w**3 - j*w**2 - 4*w**4 + 0*w**3 = 0.
-1, 0
Let o(x) be the second derivative of -x**7/14 + 9*x**6/5 - 111*x**5/20 - 99*x**4 - 242*x**3 - x + 306. Factor o(f).
-3*f*(f - 11)**2*(f + 2)**2
Let i(p) be the second derivative of -35/18*p**3 + 1 - 5/18*p**4 + 3*p + 10/3*p**2. Factor i(r).
-5*(r + 4)*(2*r - 1)/3
Let r = -56 + 63. Let t(a) be the third derivative of -2/3*a**3 + 0 + 0*a**4 + 2/15*a**5 + 10*a**2 + 0*a**6 + 0*a - 2/105*a**r. Solve t(p) = 0.
-1, 1
Let a be ((-540)/(-84) + -6)/(1/(-76)). Let m = -32 - a. Find d, given that 2/7 - 11/7*d - m*d**4 + 1/7*d**3 + 12/7*d**2 = 0.
-2, 1/4, 1
Suppose 3*y + 2112 = 27*y. Let l be -2 + (-342)/(-40) + 110/y. Find b such that -7*b**4 + 74/5*b**3 - l*b**2 + 4/5 - 4/5*b = 0.
-2/7, 2/5, 1
Let k(g) be the second derivative of g**4/72 - 59*g**3/36 + 172*g**2/3 - 2*g + 855. Factor k(z).
(z - 43)*(z - 16)/6
Let h(f) be the second derivative of f**7/210 - f**6/120 + 18*f**2 - 3*f + 1. Let k(x) be the first derivative of h(x). Factor k(l).
l**3*(l - 1)
Let b(m) be the second derivative of m**5/10 - 19*m**4/6 + 33*m**3 - 81*m**2 + 1373*m. Suppose b(a) = 0. What is a?
1, 9
Let -190*i**4 + 3*i + 15*i**3 + 1300*i**2 + 543*i**5 + 7*i**3 + 128*i**3 - 1110 - 158*i - 538*i**5 = 0. Calculate i.
-2, -1, 1, 3, 37
Let u(x) be the second derivative of 0 - 1/270*x**5 + 26*x - 1/3*x**3 - 7*x**2 - 1/18*x**4. Let f(j) be the first derivative of u(j). Factor f(d).
-2*(d + 3)**2/9
Let l be ((-12366)/162 - -73)/((-4)/(-6)) + (7 - -1). Let -36/5*y**2 + 12/5*y**4 - 3/5*y**3 + 6/5 - l*y = 0. Calculate y.
-1, 1/4, 2
Let l(i) = -i - 3. Let t(z) = -400*z**2 - 382*z + 24. Let s(r) = -3*l(r) - t(r). Let s(n) = 0. What is n?
-1, 3/80
Let q(j) be the second derivative of -j**7/420 + j**5/40 - j**4/24 + 13*j**2/2 - 2*j + 11. Let c(t) be the first derivative of q(t). Fac