-1). Let i = -32 - o. Factor i - 19 - 6*x**3 + 6*x - 3*x**4 + 3*x**2.
-3*x*(x - 1)*(x + 1)*(x + 2)
Let j be 48/120*(-750)/(-400). Factor 0 + 0*a**4 + 0*a**2 + 3/2*a**3 - 3/4*a - j*a**5.
-3*a*(a - 1)**2*(a + 1)**2/4
Let k(l) be the first derivative of -21/2*l**2 - 68 + 30*l + l**3. Factor k(x).
3*(x - 5)*(x - 2)
Let h(w) be the second derivative of -w**7/105 - 8*w**6/25 - 79*w**5/50 + 4*w**4/5 + 16*w**3/3 + 9*w - 33. Solve h(z) = 0 for z.
-20, -4, -1, 0, 1
Let m(x) = x**3 - 53*x**2 + 39. Let g be m(53). Suppose -g*j = -116*j + 231. Factor -9/4*u - 7/2*u**j - 1/2 - 4*u**2 - 1/4*u**5 - 3/2*u**4.
-(u + 1)**4*(u + 2)/4
Let k(c) be the second derivative of 15*c**7/14 + 227*c**6/6 + 116*c**5 + 115*c**4/3 - 170*c + 22. Suppose k(h) = 0. What is h?
-23, -2, -2/9, 0
Let a(m) = -3*m + 125. Let g be a(41). Solve 5*f**3 + 2*f**3 - 6*f**2 + 3*f**4 - 2*f**3 - g*f**3 = 0.
-2, 0, 1
Suppose 5*n - 30 = -3*c - 23, 2*c = -2. Let s(k) be the first derivative of -8 - 8*k - 2/3*k**3 - 4*k**n. Factor s(a).
-2*(a + 2)**2
Suppose -6192 = -174*j - 213*j. Let p(r) be the first derivative of -1/16*r**4 - 5/4*r**3 + 19 - 6*r**2 + j*r. Let p(y) = 0. Calculate y.
-8, 1
Let y = -45709/9 - -5081. Let m(f) be the first derivative of -40 + 8*f - y*f**3 + 26/3*f**2. Suppose m(g) = 0. Calculate g.
-2/5, 3
Let a(r) be the first derivative of -5*r**4/4 - 2450*r**3/3 + 2455*r**2/2 + 3826. What is u in a(u) = 0?
-491, 0, 1
Let d(m) be the first derivative of m**5/180 + m**4/72 - m**3/3 + m**2/2 + 56*m + 24. Let n(s) be the second derivative of d(s). Solve n(h) = 0.
-3, 2
Let s(d) = -14*d**3 - 301*d**2 - 829*d + 226. Let b(a) = 43*a**3 + 902*a**2 + 2483*a - 677. Let u(j) = 6*b(j) + 17*s(j). Find c such that u(c) = 0.
-11, -4, 1/4
Suppose -760 = 2*i - 754. Let y(f) = -f**2 + f + 12. Let k be y(i). Suppose 1/2*j**3 - j + 1/2*j**2 + k = 0. What is j?
-2, 0, 1
Let o(b) = -9*b**3 - 150*b**2 - 2252*b - 11097. Let x(f) = -5*f**3 - 76*f**2 - 1125*f - 5546. Let d(s) = -4*o(s) + 7*x(s). Factor d(w).
(w + 11)**2*(w + 46)
Let u(h) be the third derivative of -h**5/45 - 1003*h**4/9 - 2012018*h**3/9 - 1860*h**2. Find o, given that u(o) = 0.
-1003
Let v be 346/(-7) - 21/(-49). Let l = 52 + v. Suppose l*i**2 + 4 + 4*i**5 - 12*i + 8*i**3 + 5*i**2 - 29*i**4 + 17*i**4 = 0. What is i?
-1, 1
Suppose 3*q = -0*q + x + 8, -10 = -q + 4*x. Find j, given that 20*j**2 + 42*j**q - 12*j**2 - 5*j**3 = 0.
0, 10
Let s(v) be the second derivative of 9/14*v**4 + 12/7*v**3 + 3*v - 3/10*v**5 + 0 - 12/7*v**2. Suppose s(h) = 0. What is h?
-1, 2/7, 2
Let d(i) be the third derivative of -5/12*i**4 + 1/30*i**5 - 18*i**2 + 0*i + 0 + 0*i**3. Factor d(a).
2*a*(a - 5)
Let g(j) be the second derivative of -121/9*j**4 + 0*j**2 - 3*j - 3 + 40/3*j**3 + 62/15*j**5 - 2/45*j**6. Factor g(p).
-4*p*(p - 60)*(p - 1)**2/3
Find n such that -1665 - 54*n**3 + 2*n**4 + 1590*n + 82*n**2 + 265 - 400 + 189*n**2 - 9*n**2 = 0.
-4, 1, 15
Factor 76 + 2*m**2 - 126/5*m.
2*(m - 5)*(5*m - 38)/5
Let w(t) be the third derivative of 4*t**3 + 0 - 3/10*t**5 - 1/70*t**7 - 1/8*t**6 - 9*t**2 + 1/2*t**4 + 0*t. What is i in w(i) = 0?
-2, 1
Suppose -3*b + 2*m = 86 - 93, -45 = -5*b - 5*m. Let f(r) be the first derivative of 5/3*r**3 + 0*r - 15/4*r**4 + 16 + 0*r**2 - 4*r**b. Factor f(h).
-5*h**2*(h + 1)*(4*h - 1)
Let h(l) be the second derivative of l**5/120 + 11*l**4/72 + 5*l**3/12 - 9*l**2/4 - 56*l + 8. Find q, given that h(q) = 0.
-9, -3, 1
Let r(l) be the first derivative of 5 + 0*l + 8/45*l**3 - 1/30*l**4 - 4/15*l**2. Let r(x) = 0. What is x?
0, 2
Suppose 0 - 14/3*i**4 + 2/9*i**5 - 190/9*i**3 - 82/3*i**2 - 100/9*i = 0. Calculate i.
-2, -1, 0, 25
Let a(u) be the first derivative of -11*u**3/18 - 31*u**2 + 34*u/3 - 4217. Suppose a(k) = 0. What is k?
-34, 2/11
Let y be (((-9)/4)/(-3))/(222/24 - 8). Let g(n) be the second derivative of 14*n - 1/5*n**4 + 1/75*n**6 - y*n**2 - 8/15*n**3 + 0 + 0*n**5. Factor g(o).
2*(o - 3)*(o + 1)**3/5
Let y = -2897/3 + 966. Let d(n) be the first derivative of 0*n - 1/8*n**4 - y*n**3 + 36 - 1/4*n**2. Factor d(o).
-o*(o + 1)**2/2
Let c = 17 - 21. Let h = 13 + c. Suppose -11*q**2 + 18*q**2 + 2*q - h*q**2 = 0. What is q?
0, 1
Suppose 0 = 9*t - 37 + 10. Solve 4 - 3*n**4 + 18*n**2 + 13*n**3 + 4*n**4 - 3*n**t + 14*n + n**4 = 0.
-2, -1
Determine t, given that -3*t**3 + 438*t + 302*t**2 + 19*t**2 + 307*t**2 - 192*t**2 + t**3 = 0.
-1, 0, 219
Let w(k) be the second derivative of 10/27*k**4 - 1/27*k**6 - k + 0*k**2 - 121 + 1/45*k**5 - 8/27*k**3. Solve w(s) = 0 for s.
-2, 0, 2/5, 2
Suppose o = -p + 2, 33*p + 8 = 31*p. Let n(m) be the second derivative of o*m + 0 + 7/6*m**4 + 8/3*m**3 + m**2. Solve n(h) = 0 for h.
-1, -1/7
Let l = 10021/4 - 2446. Let o = l - 59. Solve 0 + 0*g**3 + 0*g**2 + 0*g + o*g**4 + 1/4*g**5 = 0.
-1, 0
Factor -134 + 404/3*n - 2/3*n**2.
-2*(n - 201)*(n - 1)/3
Let l(u) be the third derivative of -u**6/160 - 13*u**5/20 - 143*u**4/32 + 49*u**3/2 - 36*u**2 - 54*u + 1. Determine q so that l(q) = 0.
-49, -4, 1
Determine m, given that -34*m**3 + 115*m**2 - 50*m + 5*m**3 - 11*m**3 - 5*m**3 = 0.
0, 5/9, 2
Suppose 7*i = 3*n + 11*i - 1236, -5*i = n - 423. Let y = -406 + n. Suppose -2/5*b**3 + 2/5*b**y + 0*b + 0 = 0. What is b?
0, 1
Let a(h) be the third derivative of h**6/3060 + 13*h**5/85 + 507*h**4/17 - 27*h**3/2 - 4*h**2 + 34*h. Let i(y) be the first derivative of a(y). Factor i(c).
2*(c + 78)**2/17
Let w(h) be the second derivative of 3*h**5/20 + 17*h**4/2 - 157*h**3/2 - 285*h**2 - 279*h + 5. Let w(l) = 0. Calculate l.
-38, -1, 5
Let n(s) be the third derivative of -s**7/5880 + s**6/42 - 17*s**4/24 - s**3/3 - 65*s**2 + 1. Let x(r) be the second derivative of n(r). Factor x(d).
-3*d*(d - 40)/7
Let 314/7*c**2 - 344/7 + 1298/7*c - 8/7*c**3 = 0. Calculate c.
-4, 1/4, 43
Let g = -2498 - -44965/18. Let k(t) be the third derivative of -15*t**2 + 0*t**3 + 0 - g*t**4 + 0*t - 1/90*t**5. Factor k(a).
-2*a*(a + 2)/3
Determine o so that 0 - 250/7*o**2 + 0*o + 2/7*o**4 - 40/7*o**3 = 0.
-5, 0, 25
Let b(c) be the second derivative of c**6/6 + 3*c**5/2 + 5*c**4/3 - 20*c**3 - 80*c**2 - 95*c. Let b(v) = 0. Calculate v.
-4, -2, 2
Factor 61/6*o - 1/6*o**2 - 10.
-(o - 60)*(o - 1)/6
Let g(j) = -j**3 - j**2 + j. Let q(x) = -2*x**3 - 17*x**2 + 17*x. Let t = 13 + -18. Let n(f) = t*g(f) + q(f). Determine v so that n(v) = 0.
0, 2
Let l(h) = 5*h + 88. Let u be l(-17). Let 3*c**2 + 69*c - 2*c**2 - 65*c + c**2 - 2*c**u = 0. Calculate c.
-1, 0, 2
Suppose -10*x - 10 = -15*x. Let c(k) = 27*k**2 + 4*k + 3. Let p be c(-1). Find t such that -t + 134*t**x - 9*t - 131*t**2 + 108 - p*t = 0.
6
Solve 72 - 30*d**3 + 3*d**4 + 11891*d**2 - 150*d - 5869*d**2 - 5917*d**2 = 0.
1, 2, 3, 4
Let a = -4138 + 4142. Let n(i) be the second derivative of -i**5 + 10/3*i**3 - 7*i + 0 - 1/15*i**6 - a*i**4 + 25*i**2. Find j, given that n(j) = 0.
-5, -1, 1
Let h be (12/(-48))/((1 + -3)/24). Let -2*l**4 - 4*l**4 + 9*l**h - l**4 + l**5 + 13*l**4 = 0. What is l?
-3, 0
Let v(j) be the third derivative of -j**5/60 - 247*j**4/6 - 122018*j**3/3 + 57*j**2 - 20. Suppose v(g) = 0. What is g?
-494
Let t(k) be the third derivative of -k**6/660 - 59*k**5/30 - 1295*k**4/132 - 647*k**3/33 - 1299*k**2. Let t(y) = 0. What is y?
-647, -1
Let x(i) = -290*i**2 + 17245*i - 1041880. Let f(n) = -21*n**2 + 1232*n - 74420. Let a(l) = -55*f(l) + 4*x(l). Suppose a(k) = 0. Calculate k.
122
Suppose 5*b = 4*j - 95, -64 = -5*j - b + 62. Let 10*k**2 - 25 - j*k**4 - 120*k**3 + 9*k**2 + 31*k**2 + 120*k = 0. Calculate k.
-5, -1, 1/5, 1
Let z(d) be the second derivative of -d**6/90 + d**5/10 + 23*d**3/2 + 15*d. Let t(g) be the second derivative of z(g). Find i such that t(i) = 0.
0, 3
Let b be 579/2123 + (-4325082)/(-231) + 1. Solve 4/7*n**3 - b + 12288/7*n - 384/7*n**2 = 0 for n.
32
Let f(w) be the second derivative of 2*w**7/63 + 2*w**6/15 + 2*w**5/15 - w + 104. Solve f(d) = 0.
-2, -1, 0
Let i(b) be the third derivative of b**11/83160 - b**10/113400 - b**9/22680 - 39*b**5/20 - 19*b**2 + 3*b. Let l(c) be the third derivative of i(c). Factor l(m).
4*m**3*(m - 1)*(3*m + 2)/3
Let n = 71 - 68. Let y(m) be the second derivative of 0*m**n + 14*m + 1/6*m**4 - 1/20*m**5 + 0 + 0*m**2. Find t such that y(t) = 0.
0, 2
Let h = -4791 + 4794. Let t(y) be the first derivative of -3/10*y**4 + 0*y + 2/25*y**5 + 4/15*y**h - 6 + 0*y**2. Factor t(k