 + 32*f - o*f**2 - 1/50*f**5. Factor x(a).
-2*(a + 1)*(a + 5)**2/5
Let c(o) be the third derivative of -o**6/144 - 791*o**5/36 - 2749*o**2. Let c(i) = 0. Calculate i.
-1582, 0
Let d(n) be the first derivative of n**4 - 128*n**3/3 - 362*n**2 - 592*n - 412. What is y in d(y) = 0?
-4, -1, 37
Let g = 17023 - 2042759/120. Let o(m) be the third derivative of 11*m**2 + g*m**5 + 1/36*m**4 + 0*m + 0*m**3 + 0 - 1/720*m**6. Factor o(w).
-w*(w - 4)*(w + 1)/6
Let x(c) = 286*c - 66636. Let p be x(233). Solve 37/5*g - 1/5*g**3 + 2*g**p + 26/5 = 0.
-2, -1, 13
Factor 88/3 + 2/3*t**2 - 10*t.
2*(t - 11)*(t - 4)/3
Let t(a) be the second derivative of 10*a - 4 - 11/12*a**4 + 1/30*a**6 - 2*a**3 + 18*a**2 + 1/10*a**5. Factor t(z).
(z - 2)**2*(z + 3)**2
Let d(q) be the first derivative of -4*q**3/3 + 659*q**2/5 + 132*q/5 + 1957. Solve d(w) = 0 for w.
-1/10, 66
Let c be ((11/(440/30))/((-30)/(-4)))/5. Let q(r) be the second derivative of -2/5*r**2 - 1/75*r**6 + c*r**5 + 1/10*r**4 - 1/15*r**3 + 0 + 43*r. Solve q(y) = 0.
-1, 1, 2
Let p = -58 + 58. Suppose p = 5*r - 6 - 4. Solve -30*j + 16*j - 3*j**r + 20*j = 0.
0, 2
Let n(i) be the second derivative of i**6/180 + 17*i**5/15 + 3473*i. Factor n(f).
f**3*(f + 136)/6
Let c(u) be the third derivative of -3*u**7/350 + u**6/40 + 7*u**5/25 + u**4/10 - 8*u**3/5 - 8*u**2. Let c(r) = 0. What is r?
-2, -1, 2/3, 4
Let n be 15/20 - (-13 + (-275)/(-20)). Solve 38/9*o**4 + 14/9*o**5 + 0 - 8/9*o**2 + n*o + 16/9*o**3 = 0.
-2, -1, 0, 2/7
Let i be 50/(-105)*259/(-185) + (-35)/(-15). Find p, given that -132*p + 2178*p**2 + 8/3 - 11979*p**i = 0.
2/33
Suppose 4*u + 3*n - 12 = n, -4 = u + 4*n. Suppose 7*y - u - 17 = 0. Factor -27/2*k + 3 - 3*k**2 + 27/2*k**y.
3*(k - 1)*(k + 1)*(9*k - 2)/2
Determine d so that -2425/4 - 605*d + 5/4*d**2 = 0.
-1, 485
Let b be (-46)/(-69)*(-3)/5*-1. Let k = b + 0. Find n, given that 1/5*n - 3*n**2 - 7/5*n**4 + 19/5*n**3 + k = 0.
-2/7, 1
Let a(f) be the third derivative of -f**5/360 - 37*f**4/24 - 221*f**3/36 - 628*f**2. Let a(z) = 0. What is z?
-221, -1
Let l(k) be the third derivative of -17*k**5/30 + 475*k**4/42 + 16*k**3/21 - 1205*k**2. Factor l(y).
-2*(y - 8)*(119*y + 2)/7
Let m(v) be the first derivative of -v**6/18 + 2*v**5/15 + 2*v**4/3 - 2*v**3 + 3*v**2/2 - 3789. Solve m(y) = 0.
-3, 0, 1, 3
Factor -12/5 - 1/5*y**3 - 2*y**2 + 23/5*y.
-(y - 1)**2*(y + 12)/5
Suppose 136*f = 53*f - 313*f - 458*f. Factor f + 0*l - 1/4*l**5 - 5/4*l**3 - 1/2*l**2 - l**4.
-l**2*(l + 1)**2*(l + 2)/4
Let i(s) be the first derivative of -5*s**3/9 - 470*s**2/3 - 935*s/3 - 826. Solve i(q) = 0.
-187, -1
What is g in -5/2*g**4 - 9/4*g**3 + 0 + 13*g**2 - 8*g - 1/4*g**5 = 0?
-8, -4, 0, 1
Let x(l) be the third derivative of l**6/80 + 16*l**5/5 + 256*l**4 + 18*l**2 + 39. Factor x(j).
3*j*(j + 64)**2/2
Let u(l) = -2*l**2 + 531*l - 3111. Let i be u(6). Find v such that 6*v**2 + 9*v**i + 3/2*v**5 + 3/2*v + 6*v**4 + 0 = 0.
-1, 0
Suppose u + 2*u - 33 = 0. Let r = 6171 - 6169. Solve 1 - t + 3*t - 10*t**2 + u*t**r + 0*t = 0.
-1
Let o = 46848 + -46844. What is h in -4/7*h**5 + 0 - 176/7*h**2 - 36/7*h**o - 96/7*h - 120/7*h**3 = 0?
-3, -2, 0
Let t be (3 - 2 - 7) + 3. Let k be t/(-4)*((-2130)/198 + 11). Solve k - 2/11*n**2 + 0*n = 0 for n.
-1, 1
Let z(w) be the second derivative of w**6/150 + w**5/10 + 2*w**4/15 - w**3/3 - 9*w**2/10 - 1491*w. Factor z(v).
(v - 1)*(v + 1)**2*(v + 9)/5
Let c(y) = 13*y**2 + 223*y - 398. Let h(u) = 16*u**2 + 229*u - 397. Let v(d) = 5*c(d) - 4*h(d). Factor v(k).
(k - 2)*(k + 201)
Let d(h) be the third derivative of h**5/510 - 23*h**4/34 + 16*h**3/3 - 1625*h**2 - 1. Factor d(f).
2*(f - 136)*(f - 2)/17
Factor -8*c**4 - c**4 - 33*c**3 + 24*c**4 - 5*c**4 - 2*c**5 + c**5 + 36*c**2.
-c**2*(c - 4)*(c - 3)**2
Suppose -26*l**3 - 353/3*l**4 - 3*l**5 + 0*l**2 + 0 + 0*l = 0. Calculate l.
-39, -2/9, 0
Let k(c) be the third derivative of -c**5/30 - 41*c**4/4 + 640*c**3/3 + c**2 + 347*c. Factor k(g).
-2*(g - 5)*(g + 128)
Suppose -54*y + 52*y + 18 = 0. Factor 2*x**3 + y*x**3 + 16*x**2 - 12*x - 15*x**3.
-4*x*(x - 3)*(x - 1)
Suppose 12*a = -2*h + 15*a + 22, -2*h + 34 = -5*a. Let r(j) be the first derivative of 27/2*j + 9/2*j**h - 6 + 1/2*j**3. Solve r(f) = 0.
-3
Let n(f) be the third derivative of 1/25*f**5 + 1/300*f**6 + 0 + 68*f**2 - f + 0*f**3 + 3/20*f**4. Factor n(j).
2*j*(j + 3)**2/5
Let z be 13/(-15) + 1 - 88/(-15). Let f(m) be the third derivative of 0*m**3 + 0 - 2*m**2 - 1/285*m**5 - 1/228*m**4 + 1/380*m**z + 0*m. Factor f(t).
2*t*(t - 1)*(3*t + 1)/19
Let f(d) be the second derivative of d**6/10 - 48*d**5/5 - 99*d**4/2 - 100*d**3 - 201*d**2/2 - 6196*d. Let f(g) = 0. What is g?
-1, 67
Suppose 21/4 - 31/6*v - 1/12*v**2 = 0. What is v?
-63, 1
Let l be 86/258 - (-6)/(-18). Let p(h) be the second derivative of -5/48*h**4 + 1/80*h**5 + 0*h**2 + h + 1/120*h**6 + l + 1/8*h**3. Factor p(d).
d*(d - 1)**2*(d + 3)/4
Suppose 14 = 8*i - 10. Suppose 0 = 5*t - 3*n - 19 - 13, -i*t + 8 = n. Factor 386 + 4*l**3 - t*l - 20*l**2 - 386 + 20*l**4.
4*l*(l - 1)*(l + 1)*(5*l + 1)
Suppose 0*p + p = -3*j + 10, -5*p - 26 = -4*j. Let 24*w**3 - 16*w**2 + 11*w**2 - 4977*w + 4945*w + 4*w**4 - j*w**5 - 11*w**2 = 0. What is w?
-2, -1, 0, 2
Factor -494/17*n - 2/17*n**3 + 1014/17 + 58/17*n**2.
-2*(n - 13)**2*(n - 3)/17
Let r = 1799385874/7102839 - -2/2367613. Suppose 25/3*k**2 + r*k + 100 = 0. Calculate k.
-30, -2/5
Suppose -10 - 12 = 2*d. Let c(b) = b**2 + b - 2. Let q(x) = -5*x**2 + 28501*x - 28505*x + 17 - 6. Let p(t) = d*c(t) - 2*q(t). Find m, given that p(m) = 0.
-3, 0
Let 3/4*c**3 + 0*c**2 - 819/4*c - 204 = 0. Calculate c.
-16, -1, 17
Let g(t) be the second derivative of t**4/28 + 83*t**3 + 3483*t**2/14 - t + 427. Solve g(j) = 0 for j.
-1161, -1
Let c(n) be the first derivative of -2*n**3/3 - 9884*n**2 - 48846728*n + 9187. Factor c(w).
-2*(w + 4942)**2
Let t(i) be the first derivative of i**6/660 + 9*i**5/55 + 81*i**4/11 + 5*i**3/3 + 3*i**2 - 155. Let g(d) be the third derivative of t(d). Factor g(z).
6*(z + 18)**2/11
Suppose 3*k + 4*z = 52, -9 = k + 4*z - 29. Suppose -408*d**2 + 477*d**2 - 18*d - 5*d**3 - k*d**3 = 0. Calculate d.
0, 2/7, 3
Suppose 0 = 6*q - 18 - 12. Let -68*g**2 + 40*g + 2*g**3 - 5*g**4 + 20 + 5*g**q - 27*g**3 + 73*g**2 = 0. Calculate g.
-1, 2
Let q(w) be the third derivative of -2 + 5/8*w**6 - 71/30*w**5 + 25/6*w**4 - 4*w**3 - 13*w**2 - 3/70*w**7 + 0*w. Factor q(o).
-(o - 6)*(o - 1)*(3*o - 2)**2
Determine s so that -54*s**2 - 6516*s - 309*s**3 - 120*s**4 + 3509*s + 3379*s + 120 - 9*s**5 = 0.
-10, -2, -1/3, 1
Suppose 1154 = 13*k + 413. Find n such that n**2 - 9 - k*n + 3*n**3 + 9*n**2 + 54*n - n**2 = 0.
-3, -1, 1
Determine s so that -2052*s + 219/2*s**2 - 3/2*s**3 + 1944 = 0.
1, 36
Let v(a) = -6 - 11*a - a**2 - 119*a**3 + 130*a**3 + 3*a**2. Let s(p) = -78*p**3 - 12*p**2 + 78*p + 42. Let r(b) = -2*s(b) - 15*v(b). Factor r(f).
-3*(f - 1)*(f + 1)*(3*f + 2)
Solve 5112833*u + 2*u**3 - 1067*u**2 - 209*u**2 - 6212*u**2 + 4232191*u - 3050910560 - 836619424 = 0 for u.
1248
Solve -9/5*q**3 - 990 - 12381/5*q - 1488*q**2 = 0 for q.
-825, -1, -2/3
Let h = 3488362/5 - 697672. Factor -2/5*f**4 + 8/5*f**3 + 0 + h*f**2 - 8/5*f.
-2*f*(f - 4)*(f - 1)*(f + 1)/5
Let k be 434544/1584 + (1 - 14). Factor -k*i - 4*i**3 + 0 - 56*i**2 - 2/21*i**4.
-2*i*(i + 14)**3/21
Factor -199*c**2 - 400*c + 1/2*c**3 + 0.
c*(c - 400)*(c + 2)/2
Let g = 155 + -140. Determine y, given that -23*y**2 - 58*y**3 + g*y**4 + 3*y**2 + 5 - 10*y + 68*y**3 = 0.
-1, 1/3, 1
Let p(l) = 16*l**2 + 1584*l - 156824. Let f(w) = -21*w**2 - 1584*w + 156826. Let y(d) = -4*f(d) - 5*p(d). Factor y(r).
4*(r - 198)**2
Suppose 4 = -q + 5, 4*q = -b + 5. Let x(z) = 12*z**2 - 15*z + 42. Let l(o) = o**2 - o + 1. Let g(p) = b*x(p) - 15*l(p). Let g(v) = 0. Calculate v.
-3, 3
Let w(z) be the second derivative of z**4/54 + 11*z**3/9 + 242*z**2/9 + 1944*z. Solve w(k) = 0.
-22, -11
Let p = 148 + -84. Let y = -61 + p. Factor 9 - 136*b + y*b**2 + 60*b + 64*b.
3*(b - 3)*(b - 1)
Let n(b) be the first derivative of b**4/36 + 8*b**3/9 - 17*b**2/6 + 33*b + 31. Let k(p) be the first derivative of n(p). Let k(a) = 0. Calculate a.
-17, 1
Find i such that 48*i**2 - 3*i**5 - 13*i**3 + 2*i**5 - 3*i**5 - 61*i**4 + 37*i**4 - 7*i**3 = 0.
-4, -3, 0, 1
Let r be (5 - 9568/1904)*29/(-39). Let d = 9/91 + r. Factor 72/17 + d*p**2 + 24/17*p.
2