 - 18/7*a**5 - 472/7 = 0.
-59, -1, -2/3
Let a(j) be the second derivative of -j**7/28 + 97*j**6/240 + 13*j**5/80 - 301*j**4/96 + 119*j**3/24 - 3*j**2 + j - 186. Determine m, given that a(m) = 0.
-2, 1/3, 3/4, 1, 8
Suppose 3*j = -31 + 124. Determine r so that -j + 68 + 23*r - 33 + 28*r**2 = 0.
-4/7, -1/4
Let c = 159 + -9. Factor -58*z - 25*z - 1805 + c*z + 123*z - 5*z**2.
-5*(z - 19)**2
Factor -4*p**2 - 2*p**2 - 44*p**4 + 10*p - 42*p**4 - 4 + 129*p**4 - 2*p**3 - 41*p**4.
2*(p - 1)**3*(p + 2)
Let t(s) be the first derivative of s**6/9 - 8*s**5/3 + 9*s**4 - 104*s**3/9 + 17*s**2/3 - 9250. Factor t(y).
2*y*(y - 17)*(y - 1)**3/3
Let s(d) = 23*d**3 - 983*d**2 - 119070*d + 120055. Let y(j) = 5*j**3 - j**2 + 1. Let a(i) = -2*s(i) + 10*y(i). Factor a(g).
4*(g - 1)*(g + 245)**2
Factor -6250/13 + 90/13*g**2 - 750/13*g - 2/13*g**3.
-2*(g - 25)**2*(g + 5)/13
Let n(l) be the second derivative of -l**5/50 + 37*l**4/15 - 29*l**3/3 + 72*l**2/5 + l + 271. Factor n(j).
-2*(j - 72)*(j - 1)**2/5
Let s be 1/(4/(-5))*(-12)/3. Factor 2*f**3 + 116*f**5 - 121*f**s + 3*f**3.
-5*f**3*(f - 1)*(f + 1)
Let h(d) = -13*d + 614. Let j be h(47). Let p(o) be the third derivative of 8*o**2 + 0*o**4 + 0*o + 0 + 1/45*o**j - 1/450*o**5. Factor p(g).
-2*(g - 1)*(g + 1)/15
Let m(c) be the second derivative of -c**5/12 - 35*c**4/24 + 20*c**3/3 + 7*c**2 + 12*c. Let r(z) be the first derivative of m(z). Factor r(k).
-5*(k - 1)*(k + 8)
Factor -4/3*y**3 + 92*y - 272/3*y**2 + 0.
-4*y*(y - 1)*(y + 69)/3
Let h(z) = -7*z**2 + 135*z - 34. Let t be h(19). Let f(r) be the second derivative of 1/12*r**4 + 0 - t*r + 3/2*r**2 + 5/6*r**3 - 1/20*r**5. Factor f(m).
-(m - 3)*(m + 1)**2
Suppose 4*z + y - 28 = 0, 324 - 272 = z + 4*y. Let 0 - 7/4*t + 1/2*t**5 + 27/4*t**2 + 9/4*t**z - 31/4*t**3 = 0. What is t?
-7, 0, 1/2, 1
Let d(t) be the first derivative of -3*t**5/20 + 45*t**4/8 + 51*t**3 + 159*t**2 + 216*t - 1752. Factor d(o).
-3*(o - 36)*(o + 2)**3/4
Let x(f) be the first derivative of -5*f**6/6 - 23*f**5/5 + 25*f**4/4 + 79*f**3/3 + 8*f**2 - 20*f + 5804. What is y in x(y) = 0?
-5, -1, 2/5, 2
Let w(j) = -j**3 - 35*j**2 - 34*j - 22. Let p be w(-34). Let m be -1 - (0/(-8) + p/10). Suppose -2/5*x**4 - 4/5*x**2 + 0*x + 0 - m*x**3 = 0. What is x?
-2, -1, 0
Let u(l) be the first derivative of -l**6/40 - l**5/5 - 3*l**4/8 - 3*l**2/2 + 37*l + 44. Let g(k) be the second derivative of u(k). Find t, given that g(t) = 0.
-3, -1, 0
Let p be (3088/192 - 16)/(-4*(-9)/480). Solve -p*n**3 + 1/9*n**4 - 40/9*n + 11/3*n**2 + 16/9 = 0.
1, 4
Let r = 310/27 - 34/3. Let l(k) be the first derivative of -1/9*k**2 - r*k**3 + 2/45*k**5 - 1/27*k**6 + 1/9*k**4 + 2/9*k - 10. Suppose l(q) = 0. Calculate q.
-1, 1
Let i(o) = 32*o**3 - 1350*o**2 - 1702*o - 520. Let w(s) = 160*s**3 - 6757*s**2 - 8507*s - 2602. Let f(t) = -11*i(t) + 2*w(t). Let f(v) = 0. What is v?
-3/4, -1/2, 43
Let c(q) = -3*q - 21*q**3 + 22*q**3 + 0*q - 2. Let r be (-5)/1 - -4 - -2. Let t(j) = j + 1. Let h(x) = r*c(x) + 2*t(x). What is y in h(y) = 0?
-1, 0, 1
What is k in 1124864 - 15225*k - 8394*k - 8829*k + 8*k**3 + 312*k**2 - 9*k**3 = 0?
104
Let h(j) be the second derivative of -j**7/105 - 14*j**6/25 - 238*j**5/25 - 316*j**4/15 + 128*j**3 + 640*j**2 + 1265*j. Suppose h(z) = 0. Calculate z.
-20, -2, 2
Let j(y) be the third derivative of y**8/1680 + 2*y**7/105 - 59*y**6/300 + 43*y**5/75 - 5*y**4/8 - 2*y**2 - 521*y. Let j(d) = 0. What is d?
-25, 0, 1, 3
Let v(n) be the second derivative of -3*n**5/20 + 63*n**4/2 + 525*n**3/2 - 975*n**2 + 1380*n + 4. Factor v(p).
-3*(p - 130)*(p - 1)*(p + 5)
Let n = -51 - -55. Let k = -384 - -384. Solve k - 6/7*u**2 - 2/7*u**n + 2/7*u + 6/7*u**3 = 0 for u.
0, 1
Let n(v) be the first derivative of -v**4/4 + 47*v**3/3 + 309*v**2/2 + 477*v - 2683. Determine q, given that n(q) = 0.
-3, 53
Suppose -304/3 + 125/3*x**2 + 4*x**3 - 1/3*x**4 + 56*x = 0. Calculate x.
-4, 1, 19
Let i be (-2)/4 - (88/(-16)*1 + -12). Let x(z) be the third derivative of 0 - i*z**2 - 3/10*z**5 + 3/2*z**4 + 0*z + 1/40*z**6 - 4*z**3. Factor x(y).
3*(y - 2)**3
Factor -4*q**5 - 22*q - 176*q**3 - 54*q**3 - 146*q**3 + 188 - 196*q**4 + 8*q**2 + 402*q.
-4*(q - 1)*(q + 1)**3*(q + 47)
Suppose -4*s = -3*w - 0*w + 69, -4*s = -5*w + 59. Let t = 21 + s. Factor -q**2 - 8*q + 5*q**2 + t*q**2.
4*q*(q - 2)
Solve 14/15*f**4 - 4*f - 62/15*f**2 + 2/15*f**5 + 0 + 2/3*f**3 = 0.
-5, -3, -1, 0, 2
Suppose 151*j = 417*j - 1330. Let a(q) be the second derivative of 0*q**2 + 0 - 2/15*q**3 + 26*q + 2/25*q**j - 2/105*q**7 + 0*q**4 + 0*q**6. Factor a(w).
-4*w*(w - 1)**2*(w + 1)**2/5
Let -1452*g + 700*g + 4*g**2 + 472*g + 560*g - 2496 = 0. What is g?
-78, 8
Suppose -2*l - 2*l - 504 = -4*w, -618 = -5*w - l. Determine k so that -157*k - 2*k**2 - 3872 + w*k - 143*k = 0.
-44
Suppose 0 = -3*c - 3 + 15. Suppose 2*s = -3*v + c, -5*v + 3*s = -10 - 3. Suppose -14*b**v + 0*b**3 + 13*b - 9*b + 8*b**3 - 2*b**3 = 0. What is b?
0, 1/3, 2
Let v = 79 - -41. Factor 152*z**2 + 38 - 70*z**2 + v*z - 77*z**2 - 163.
5*(z - 1)*(z + 25)
Let u(o) be the second derivative of 5/24*o**3 + 24*o + 0*o**2 + 1/8*o**4 + 1/80*o**5 + 4. Factor u(r).
r*(r + 1)*(r + 5)/4
Let x = 5065/3 + -1683. Let c(i) be the third derivative of 0 - 28/3*i**4 - x*i**3 + 7/15*i**6 - i**2 - 32/5*i**5 + 0*i + 7/15*i**7. Find w such that c(w) = 0.
-2, -2/7, 2
Let r be (580/(-377))/(7/(21/(-4))) + -1. Find d such that r*d**3 + 8214/13*d - 222/13*d**2 - 101306/13 = 0.
37
Let u(p) be the second derivative of p**6/6 - 82*p**5 - 2515*p**4/2 - 12700*p**3/3 + 42125*p**2/2 + 8803*p. Factor u(m).
5*(m - 337)*(m - 1)*(m + 5)**2
Let u(f) be the first derivative of 5/18*f**4 + 36*f + 41*f**2 - 176/27*f**3 - 33. Find k such that u(k) = 0.
-2/5, 9
Suppose -1544*s = -1659*s + 230. Suppose 8/7 + 2/7*i**s + 10/7*i = 0. Calculate i.
-4, -1
Let d = 88 + -28. Factor -57 - d*b**2 + 57 + 35*b**4 + 200*b**3.
5*b**2*(b + 6)*(7*b - 2)
Let l = 15887 - 110323/7. Let t = 128 - l. Factor 0 - 2/7*g**5 - 4/7*g**2 - t*g**3 + 0*g - 8/7*g**4.
-2*g**2*(g + 1)**2*(g + 2)/7
Let t = 57 - 72. Let r be ((-3)/(-2))/(t/(-100)). Suppose -20*g + 18*g - 4 + r*g - 4*g**2 = 0. Calculate g.
1
Let n be ((-60)/(-8370)*31)/((-2)/(-30)). Let o(q) be the first derivative of 5*q**2 - 5/2*q**4 + 4*q - 23 - n*q**3 + 6/5*q**5. Solve o(y) = 0.
-1, -1/3, 1, 2
Factor 81 + 9*o**2 - 3*o**3 - 81 + 9*o - o**4 - 14*o.
-o*(o - 1)**2*(o + 5)
Let u = -633 - -652. Let d(a) be the first derivative of 6*a + u + a**3 + 9/2*a**2. Suppose d(q) = 0. What is q?
-2, -1
Factor -17/4*w + 3/4*w**2 + 1/2*w**3 + 3.
(w - 1)*(w + 4)*(2*w - 3)/4
Factor -50/3*l**3 - 561*l**2 - 11979/2 - 6534*l - 1/6*l**4.
-(l + 1)*(l + 33)**3/6
Let k be -7 + 3 - 33/(-11) - (-3)/2. Let x(p) be the first derivative of -14 + p**2 + 4/3*p - k*p**4 - 2/15*p**5 - 2/9*p**3. Determine a so that x(a) = 0.
-2, -1, 1
Suppose -4*d + 5*j - 7 = 0, d - 2*j - 11 = -5*j. Factor -9*r**2 - 6*r + 3*r**4 + 22*r**d + 10*r + 4 - 2*r**4 + 6*r**3 + 8*r.
(r + 1)**2*(r + 2)**2
Let t(g) be the first derivative of -g**6/33 + 446*g**5/55 - 221*g**4/22 - 446*g**3/33 + 222*g**2/11 + 3663. Solve t(s) = 0 for s.
-1, 0, 1, 222
Factor 2144/5*d**3 + 33024/5*d - 144/5*d**4 - 32768/5 + 1/5*d**5 - 12544/5*d**2.
(d - 128)*(d - 4)**4/5
Factor -4264*c - 13*c**3 + 1631*c**2 - c**4 - 177*c**3 + 2956*c - 132*c**3.
-c*(c - 4)*(c - 1)*(c + 327)
Let d(i) = -i**3 - 4*i**2 - 7*i - 9. Let w be d(-3). Suppose -333*s**w + 268*s**2 + 212*s**2 + 840*s**4 + 225*s**5 + 80*s + 1333*s**3 = 0. Calculate s.
-2, -2/3, -2/5, 0
Factor 514/7*z + 512/7 + 2/7*z**2.
2*(z + 1)*(z + 256)/7
Let w be (-3)/12 - (-16)/64. Suppose 3*o = w, 10*c - 2*o = 9*c + 1. Factor 1/3*k**2 + 2/3*k - c.
(k - 1)*(k + 3)/3
Let z be -1 + 12*13/39. Let g(w) be the second derivative of -15*w - 1/3*w**4 + 4/3*w**z + 0 + 0*w**2. Let g(n) = 0. What is n?
0, 2
Let h be (-2)/(-8) - (-42)/24. Factor -6*o - 9*o + 31*o - 11*o - 6 + o**h.
(o - 1)*(o + 6)
Let q(k) = k**2 + k**3 + 1 + 3*k + 0 + 0*k - 2*k. Let g(t) = -5*t**3 - 2 + 69492*t**2 - 69492*t**2 - 9*t. Let o(d) = g(d) + 4*q(d). Factor o(s).
-(s - 2)*(s - 1)**2
What is f in -4*f**2 - 1/3*f**3 - 10 + 43/3*f = 0?
-15, 1, 2
Let s(u) = 2*u**3 + 22*u**2 + 18*u - 6. Let q be s(-10). Determine m so that 0*m**4 + 2*m**4 + 910 - 14*m**3 - 466 + 18*m**2 + q*m - 464 = 0.
-1, 1, 2, 5
Let i be 16030/924 - ((-2608)/