*o + 990 = 0. Factor -2*n + o*n**2 + n**4 - 160*n**2 - 5*n**3 + n**3.
n*(n - 2)*(n - 1)**2
Let g(j) be the first derivative of -7*j**5/25 + 447*j**4/20 - 243*j**3 + 10557*j**2/10 - 10368*j/5 + 3173. Let g(x) = 0. What is x?
3, 384/7
Factor 24*t**2 - 45*t - t**4 + 11*t**2 + 22*t**2 - 92 - 16 - 7*t**3.
-(t - 3)**2*(t + 1)*(t + 12)
Determine t so that 25/2*t**3 + 105/2*t**4 + 10*t**5 + 0*t + 0 + 0*t**2 = 0.
-5, -1/4, 0
Let m = -41 + 53. Suppose -4 = k - m. Factor -k*q**4 + 2*q**2 - 12*q**3 + 6*q**2 + 12*q**4.
4*q**2*(q - 2)*(q - 1)
Let v(w) = -w**2 - 3*w + 1. Let x be (-17 + 16)/((2/(-12))/(-1)). Let c(y) = 3*y**2 + 27*y + 24. Let p(f) = x*v(f) - c(f). Determine a so that p(a) = 0.
-2, 5
Let n be ((-2)/(-12) + 2245/30)/1. Let u = 79 - n. Factor w**2 + 40 + 75*w - 30*w + u*w**2.
5*(w + 1)*(w + 8)
Let j be (6/(-8))/((-1)/(-8)). Let x be ((11 + j)/(-15))/((-2)/18). Suppose 2*s**2 + 6*s**3 - s**4 - 4*s**2 - 3*s**3 + 0*s**x = 0. Calculate s.
0, 1, 2
Suppose 5*w - 137*q + 139*q = 12, -4*w + 7*q = -1. Let -5/2*k**2 - 3/2*k**3 + w + 2*k = 0. Calculate k.
-2, -2/3, 1
Suppose -4*l + 2507 - 495 = 660*l + 342*l. Factor -12/11*z**l - 50/11*z - 36/11 + 2/11*z**3.
2*(z - 9)*(z + 1)*(z + 2)/11
Suppose 2*c = 2*v, 0 = 3*c - 7*c - 4*v + 24. Determine a, given that -298*a - a**4 + 298*a - 7*a**2 + 8*a**c = 0.
0, 1, 7
Solve 23/4 - 3/8*i**2 - 137/8*i = 0 for i.
-46, 1/3
Let l(t) = 75*t**3 - 595*t**2 - 2020*t + 65. Let v(g) = 7*g**3 - 54*g**2 - 184*g + 6. Let a(o) = 6*l(o) - 65*v(o). Find z such that a(z) = 0.
-8, -4, 0
Suppose 12 = 2*f - 3*t, 1010 = 4*t + 1026. Let v(l) be the third derivative of -5*l**2 + 1/12*l**5 + 0 - 5/6*l**4 + 5/2*l**3 + f*l. Factor v(r).
5*(r - 3)*(r - 1)
Let j(c) = 89*c**3 - 164*c**2 + 341*c - 20. Let r(a) = -116*a**3 + 218*a**2 - 455*a + 26. Let v(b) = -13*j(b) - 10*r(b). Solve v(m) = 0.
0, 3, 13
Let n = -99206 - -496032/5. Let z = 9 + -17/2. Find l such that -4/5*l**3 + 4/5*l - n + 9/10*l**2 - z*l**4 = 0.
-2, -1, 2/5, 1
Let d = 43 - -7. Suppose -76 = d*l - 276. Factor 0*k**2 + 0*k + 0 + 2/5*k**3 - 2/5*k**l.
-2*k**3*(k - 1)/5
Let b = -15866 - -15868. Let t(d) be the first derivative of 0*d**3 - 27 - 1/28*d**4 - 2/7*d + 3/14*d**b. Factor t(h).
-(h - 1)**2*(h + 2)/7
Let s(y) = -10*y**4 - 82*y**3 - 1162*y**2 - 5408*y - 4. Let u(n) = -24*n**4 - 163*n**3 - 2320*n**2 - 10816*n - 10. Let l(z) = -5*s(z) + 2*u(z). Factor l(w).
2*w*(w + 13)**2*(w + 16)
Factor -690*h**3 + 113520*h**2 + 6360560 - 3402160*h - 60*h**3 - 550*h**3 + 5*h**4.
5*(h - 86)**3*(h - 2)
Let v = 469235/1407723 + 2/469241. Factor -v*o**2 + 0 - 10*o.
-o*(o + 30)/3
Let m = -2267 + 2302. Let p be 3 + 0 + (-65)/m. Factor 9/7 - 1/7*j**4 - p*j**2 - 6/7*j**3 + 6/7*j.
-(j - 1)*(j + 1)*(j + 3)**2/7
Suppose 33/7*f**3 - 3/7*f**5 + 0 - 3/7*f**4 - 54/7*f + 27/7*f**2 = 0. Calculate f.
-3, -2, 0, 1, 3
Let o(i) be the first derivative of i**5/390 - i**4/78 - 35*i**3/39 + 137*i**2 + 39. Let x(d) be the second derivative of o(d). Factor x(u).
2*(u - 7)*(u + 5)/13
Let k(x) be the second derivative of -x**7/63 + 4*x**6/45 + x**5/10 - 5*x**4/9 - 8*x**3/9 + 4*x - 164. Find b such that k(b) = 0.
-1, 0, 2, 4
Suppose 15*p = 4*c + 19*p - 992, 5*p = 4*c - 974. Let g = 250 - c. Factor 0*i**3 + 0 - 4/9*i**g + 0*i**2 - 2/9*i**5 + 0*i.
-2*i**4*(i + 2)/9
Let m(z) be the first derivative of -z**3/3 + 45*z**2/8 - 125*z/4 - 938. What is t in m(t) = 0?
5, 25/4
Let n(x) be the third derivative of 17*x**5/30 - 67*x**4/48 - x**3/12 - 727*x**2 + 2. Suppose n(k) = 0. What is k?
-1/68, 1
Let n(k) be the second derivative of -k**4/12 - 49*k**3/6 - 291*k**2/2 - 93*k. Let g be n(-7). Solve 3/2*y**4 - 9/2*y**5 + 0*y + 5/2*y**g + 0 + 1/2*y**2 = 0.
-1/3, 0, 1
Let t be (-6)/3 + (-56)/(-10) - 20/(-50). Let q(v) be the second derivative of 23*v + 0 + 0*v**3 + 1/28*v**t + 0*v**2. Find k such that q(k) = 0.
0
Let j(x) be the second derivative of -5/42*x**7 + 0*x**2 + 2 + 8*x + 5/2*x**6 + 51/4*x**5 + 265/12*x**4 + 15*x**3. Suppose j(z) = 0. Calculate z.
-1, 0, 18
Let m be 212/20 + (432/405)/16. Determine r, given that 56/3*r + 24*r**2 - 26/3*r**3 - 10/3*r**4 - m = 0.
-4, -1, 2/5, 2
Let u(y) be the second derivative of y**4/36 + 116*y**3/9 + 6728*y**2/3 + 16*y - 50. Suppose u(v) = 0. Calculate v.
-116
Let f(u) = u**5 - 15*u**4 + 14*u**3 - 2*u - 2. Let c(m) = -9*m**5 + 121*m**4 - 112*m**3 + 17*m + 17. Let t(p) = 4*c(p) + 34*f(p). Suppose t(k) = 0. Calculate k.
-14, 0, 1
Let c be (3/(-4 + 46))/(2/(-6)). Let n = c - -127/70. Find m such that 4/5 - n*m - 12/5*m**2 = 0.
-1, 1/3
Suppose 62224 - 61524 = 3*l + 25*l. Let -45*x - l*x**2 - 5/3*x**3 - 65/3 = 0. Calculate x.
-13, -1
Let l(t) be the third derivative of -205*t**2 + 0 + 0*t - 1/40*t**6 + 0*t**3 + 1/8*t**4 + 0*t**5. Factor l(a).
-3*a*(a - 1)*(a + 1)
Factor 2/3*k**2 - 160 - 16/3*k.
2*(k - 20)*(k + 12)/3
Let n = -796 + 624. Let i be n/(-215)*(-11)/(-4). Factor -6/5 + 1/5*t**4 - 3/5*t**2 + 3/5*t**3 - i*t.
(t - 2)*(t + 1)**2*(t + 3)/5
Suppose 18*c**2 + 690 - 523*c - 172*c - 13*c**2 = 0. What is c?
1, 138
Suppose 2*a - 150 = -3*k, 0 = 3*a + 2*k - 188 - 32. Find l, given that 30 - 27*l + 109*l**2 - a + 19*l - 107*l**2 = 0.
-3, 7
Let n be (16 - 0/5)/1. Let -300*o + 324*o + o**4 - 7*o**2 + 5*o**4 + o**2 - n*o**3 + 8 = 0. Calculate o.
-1, -1/3, 2
Let k(m) be the third derivative of -m**6/20 + 13*m**5/45 + 13*m**4/12 + 4*m**3/9 + m**2 - 99*m. Factor k(o).
-2*(o - 4)*(o + 1)*(9*o + 1)/3
Let n be 2 + (-11)/(66/(-12)). Factor -50*y**3 + 8*y - 54*y**3 + 102*y**3 - n*y**2 + 16.
-2*(y - 2)*(y + 2)**2
Let s(w) = -w**2 + 11*w - 19. Let i be s(6). Suppose 4*b = -i*b + 2*b. Determine d, given that -3*d**2 + 9/4*d**3 + 9/8*d + b + 0*d**4 - 3/8*d**5 = 0.
-3, 0, 1
Let d be (1/2)/(5/160). Solve -48*a**2 - 1437*a**3 - d*a + 698*a**3 - 24*a**4 + 687*a**3 - 4*a**5 = 0.
-2, -1, 0
Let m be (-1183)/(2/(-4) + (-8)/16). Let 462*v**2 + 37*v**3 + v**4 + m*v - 3148 - 1246 - 33*v**2 = 0. What is v?
-13, 2
Suppose 0 = y + 15 - 29. Let x(a) = -8*a**2 - 3*a + 7. Let m(l) = -l**2 + 1. Let b = 24 - 26. Let o(s) = b*x(s) + y*m(s). Factor o(p).
2*p*(p + 3)
Factor -200/9*n + 22 + 2/9*n**2.
2*(n - 99)*(n - 1)/9
Let m(c) = 8*c**4 - 46*c**3 - 441*c**2 + 575*c + 968. Let s(g) = 3*g**4 - g**3 - g**2 + g. Let a(n) = m(n) - 3*s(n). Factor a(p).
-(p - 2)*(p + 1)*(p + 22)**2
Let x(p) = 2*p**3 - 3*p**2 + 5*p + 10. Let l(w) = -w**3 + 3*w**2 - 4*w - 8. Let f be 8 + 8*(-4)/24*3. Let i(q) = f*x(q) + 5*l(q). Suppose i(j) = 0. What is j?
-1, 0
Let u(g) be the second derivative of -g**7/42 + 5*g**6/6 - 23*g**5/4 - 505*g**4/12 - 280*g**3/3 - 98*g**2 - 11978*g. Determine s, given that u(s) = 0.
-1, 14
Let y(l) = l**2 + 537*l + 539. Let q(u) = u**2 + 538*u + 539. Let s(w) = 3*q(w) - 2*y(w). Find i, given that s(i) = 0.
-539, -1
Suppose 2537 = -4*f + 5*f. Factor -f*j**3 - j - 3*j + 2538*j**3.
j*(j - 2)*(j + 2)
Let w be ((-2)/56)/((-20)/40)*-7634. Let x = -544 - w. What is o in -o**2 + 15/7*o - x + 1/7*o**3 = 0?
1, 3
Suppose -j - 76*x + 11 = -73*x, -4*j = -2*x - 2. Let w = 289/171 + -30/19. Solve w*n**j + 1/3*n + 0 = 0.
-3, 0
Let f(c) be the first derivative of c**5/180 - c**4/12 + 4*c**3/27 + 24*c - 39. Let q(p) be the first derivative of f(p). Suppose q(n) = 0. What is n?
0, 1, 8
Let g = 3498705070 - 150048964330466/42887. Let a = g + -2/3299. Let 0*x**2 - 4/13*x**4 - a*x**3 + 0*x + 0 - 2/13*x**5 = 0. Calculate x.
-1, 0
Let k(r) = -11*r**4 - 5*r**3 - 27*r**2 + 95*r - 40. Let g(p) = 2*p**4 - p**3 - p**2 - 2. Let i(u) = -6*g(u) - k(u). Factor i(y).
-(y - 13)*(y - 1)**2*(y + 4)
Let j(v) be the second derivative of v**6/30 - 3*v**4/4 + 2*v**3/3 + 6*v**2 + 2*v + 85. Find t such that j(t) = 0.
-3, -1, 2
Let i = -176 + 51. Let r be 1/(i/(-10) + -8). Find f, given that 16/9 + r*f**3 - 8/9*f**4 + 28/9*f**2 - 40/9*f + 2/9*f**5 = 0.
-2, 1, 2
Let d(f) be the first derivative of -f**4/12 - f**3/3 - f**2/2 - 121*f - 89. Let x(s) be the first derivative of d(s). Factor x(p).
-(p + 1)**2
Let a(c) = c**2 - 14*c - 10. Let f be a(15). Factor -5*m**f + 5 + 10*m**3 - 8*m**2 - 5044*m + 5039*m - 2*m**2 + 5*m**4.
-5*(m - 1)**3*(m + 1)**2
Let a(b) = 12 + 8*b**2 - 508*b**3 + 0 - 53*b + 45*b + 506*b**3. Let n be -2 - 0/(1 + -2). Let r(h) = h**2 - h + 1. Let s(u) = n*a(u) + 20*r(u). Factor s(t).
4*(t - 1)*(t + 1)**2
Let w(q) = q**3 + q. Let t be w(2). Let f = 15393 + -15382