-72912)/(-8680))/((-14)/(-5)). Factor -8/5*i**2 + 2*i - 4/5 + 2/5*i**c.
2*(i - 2)*(i - 1)**2/5
Let s(o) be the first derivative of o**3/30 + 11*o**2/2 - 112*o/5 - 223. Solve s(j) = 0 for j.
-112, 2
Let f(i) be the first derivative of -5/3*i**3 + 0*i - 80 + 45/2*i**2. Solve f(t) = 0.
0, 9
Factor 0 + 21/4*b**3 + 3*b**2 - 9*b + 3/4*b**4.
3*b*(b - 1)*(b + 2)*(b + 6)/4
Suppose -17*i + 133 = 91*i - 191. Find l, given that 18*l - 21*l**2 + 0 - 21/2*l**i + 9/4*l**4 = 0.
-2, 0, 2/3, 6
Let x(p) = -7*p**2 - 540*p + 477. Let s(v) = 3*v**2 + 267*v - 242. Let h(c) = 15*s(c) + 6*x(c). Factor h(q).
3*(q - 1)*(q + 256)
Let t = 63 - -464. Let o = t - 525. Factor -40/3*w**3 - 1000/3*w - 1250/3 - 2/3*w**4 - 100*w**o.
-2*(w + 5)**4/3
Let c(b) be the first derivative of -b**4/10 - 18*b**3/5 - 27*b**2 - 378*b/5 + 1976. Determine x, given that c(x) = 0.
-21, -3
Let w(k) be the third derivative of -k**7/525 - k**6/150 + 33*k**5/50 + 58*k**2 + 6. Determine j, given that w(j) = 0.
-11, 0, 9
Let b(p) be the third derivative of -p**6/660 + 17*p**5/330 + p**4/132 - 17*p**3/33 - 22*p**2 + 7. Let b(s) = 0. What is s?
-1, 1, 17
Let l(s) be the first derivative of 38/17*s - 20/17*s**2 + 97 + 2/51*s**3. Factor l(u).
2*(u - 19)*(u - 1)/17
Let h be (-1 - 0)/(75/71985). Let v = h - -960. Determine r so that -13/5*r + 1/5*r**3 + 7/5*r**2 - v*r**4 + 6/5 = 0.
-3, 1, 2
Let a = -1794 - -1794. Let r(v) be the second derivative of 1/18*v**6 - 5/36*v**4 + 15*v - 5/9*v**3 + 0*v**2 + 1/6*v**5 + a. Suppose r(x) = 0. What is x?
-2, -1, 0, 1
Let v(l) = 15*l**3 - 66*l**2 - 381*l + 12. Let f(r) = -30*r**3 + 131*r**2 + 767*r - 26. Let j(u) = -6*f(u) - 13*v(u). Factor j(q).
-3*q*(q + 3)*(5*q - 39)
Let y(l) be the second derivative of 8/3*l**3 + 0*l**4 - 34/5*l**5 + 32/5*l**6 + 0*l**2 - 3/2*l**7 + 0 - 234*l. Find u, given that y(u) = 0.
-2/7, 0, 2/3, 2
Let g(r) be the second derivative of r**4/8 + 289*r**3 + 250563*r**2 + 2409*r. Factor g(w).
3*(w + 578)**2/2
Suppose -119*l = -272 - 85. Suppose 0 = 301*q - 302*q + l. Solve -2/13*a**4 - 242/13 - 48/13*a**q - 528/13*a - 332/13*a**2 = 0 for a.
-11, -1
Let z be ((-136)/12)/(7 - 18246/2598). Let t = -1237/3 + z. Solve 1372/5*x**4 - 1008/5*x**2 + t*x**3 - 108/5 - 648/5*x = 0.
-3/7, 1
Let g = 115 + -106. Let w(d) = d - 7. Let t be w(g). Find o such that -20*o + 78*o**3 - o**2 + 27*o**3 + 50*o**5 + 155*o**4 - 19*o**t = 0.
-2, -1, -1/2, 0, 2/5
Let b(j) = 60*j**4 - 1020*j**3 - 175*j**2 - 70*j - 35. Let a(k) = 5*k**4 - 85*k**3 - 15*k**2 - 6*k - 3. Let g(u) = 35*a(u) - 3*b(u). Let g(s) = 0. What is s?
0, 17
Factor -3/4*z**5 - 3/2*z**4 + 0*z**2 + 0 + 0*z + 18*z**3.
-3*z**3*(z - 4)*(z + 6)/4
Let n = -1224 + 599. Let f = -623 - n. Factor 8/17*s**3 + 2/17*s**f + 0*s + 8/17*s**4 + 0.
2*s**2*(2*s + 1)**2/17
Let l(x) = -7*x**2 - 23*x + 466. Let d(i) = 3*i**2 + 2*i - 2. Let z(m) = 2*d(m) + l(m). Factor z(b).
-(b - 14)*(b + 33)
Let n be 15*2/(10/49). Let s be (2/4)/(n/336). Suppose 6/7 - s*w + 2/7*w**2 = 0. What is w?
1, 3
Let 2/7*j**3 - 62/7*j**2 - 2/7*j + 60/7 + 2/7*j**4 = 0. Calculate j.
-6, -1, 1, 5
Let n(h) be the second derivative of 13/3*h**4 + 33/10*h**5 - 16*h**2 - 16 + 5/6*h**6 - h + 1/14*h**7 - 4*h**3. Determine c, given that n(c) = 0.
-4, -2, -1, 2/3
Let n(d) = 2*d**3 + 9*d**2 - 7. Let x be n(-4). Let f = -2 + 7. Suppose x*l**3 + 9*l**2 + 6*l - f*l + l = 0. What is l?
-2/3, -1/3, 0
Let f(y) be the third derivative of 10*y**7/7 - 7*y**6/6 - 8*y**5/15 + 2*y**4/3 + 15*y**2 - 154*y. Let f(u) = 0. What is u?
-1/3, 0, 2/5
Let u(c) = -11*c - 3 + 10*c + 5. Let q be u(0). Let 10*f**4 + 11*f**2 + 7*f + 3*f + 18*f**2 + 6*f**q + 35*f**3 = 0. Calculate f.
-2, -1, -1/2, 0
Factor 2899*x + 601*x + 19*x**3 + 12500 - 15*x**3 + 220*x**2.
4*(x + 5)*(x + 25)**2
Suppose -824 - 656 + 1816 - 66*a + 3*a**2 = 0. Calculate a.
8, 14
Solve -31/5*w - 1/5*w**2 - 84/5 = 0.
-28, -3
Let m be 1 - (-1 + 7 + -9). Suppose 27*i - 39 = 14*i. Factor -8/3 - 1/6*r**4 + r**i - 1/6*r**2 - m*r.
-(r - 4)**2*(r + 1)**2/6
Let g(n) = -7*n - 281 + 5*n**2 - 11*n + 269. Let f(o) = 4*o**2 - 17*o - 10. Let j(y) = -6*f(y) + 5*g(y). Determine w, given that j(w) = 0.
-12, 0
Let f(g) be the first derivative of 3*g**5/5 - 63*g**4 + 82*g**3 + 126*g**2 - 249*g - 93. Solve f(l) = 0 for l.
-1, 1, 83
Let k(j) = -44*j**3 + 305*j**2 - 347*j + 26. Let p(i) = 22*i**3 - 152*i**2 + 174*i - 12. Let h(y) = -6*k(y) - 13*p(y). Factor h(m).
-2*m*(m - 5)*(11*m - 18)
Solve 2/3*y**2 + 168200/3 + 1160/3*y = 0.
-290
Let a(j) = -j**3 + 29*j**2 + 98*j - 60. Let z be a(32). Factor 31*x**4 + 162*x + 88*x**3 + 1530 - 4090 - 62*x**z - 672*x**2 + 27*x**4 + 2014*x.
-4*(x - 10)*(x - 4)**3
Factor 0*a**3 + 2*a**3 + 80770*a - 575*a**2 - 263*a**2 + 336200 + 0*a**3 + 26*a**2.
2*(a - 205)**2*(a + 4)
Let d(g) = -243*g**2 + 262*g + 246. Let p(z) = 208*z**2 - 262*z - 248. Let y(n) = -6*d(n) - 7*p(n). Factor y(k).
2*(k + 1)*(k + 130)
Let h(f) be the second derivative of -f**6/180 - f**5/5 - 133*f**4/72 - 41*f**3/6 - 34*f**2/3 + 2*f - 336. Determine r so that h(r) = 0.
-17, -4, -2, -1
Let i = 29 + -24. Suppose -i*f = 6*f - 121. Find p such that f*p - 5*p**5 + 2*p**3 - 10*p**2 + 10*p**4 - 2*p**3 - 6*p = 0.
-1, 0, 1
Let x(w) be the third derivative of w**5/180 - 359*w**4/72 - 2160*w**2 + w. Factor x(z).
z*(z - 359)/3
Let o be 15/10 + 10/20. Suppose 3*z**o - 6*z**2 - 10*z + 10*z**2 - 2*z**2 = 0. Calculate z.
0, 2
Factor 29/6*j - 29/6*j**3 - 1/6*j**4 + 14/3 - 9/2*j**2.
-(j - 1)*(j + 1)**2*(j + 28)/6
Factor 535/3*p + 5/3*p**2 + 350.
5*(p + 2)*(p + 105)/3
Let z(d) = 19*d**2 + 34*d + 57. Let t be z(-22). Let x be (-6)/(-4)*-2 - t/(-675). Factor -4 + 8/5*y**3 + 56/5*y - x*y**2 + 4/5*y**4.
4*(y - 1)**3*(y + 5)/5
Let t(s) be the first derivative of -5/24*s**4 + s**2 - 3/40*s**5 + 1/3*s**3 + 17*s - 10. Let a(n) be the first derivative of t(n). Solve a(l) = 0.
-2, -2/3, 1
Let c(u) be the third derivative of -3 - 2*u**2 - 1/300*u**5 + 0*u + 1/15*u**4 + 0*u**3. Determine w so that c(w) = 0.
0, 8
Determine k, given that 230051*k + 75379 - 20*k**3 + 2536*k**2 + 52*k**3 - 9857 - 25*k**3 = 0.
-181, -2/7
Let f(c) be the first derivative of -11/2*c**6 - 81/4*c**4 + 110 + 3*c**2 - 93/5*c**5 + 0*c - 5*c**3. Solve f(o) = 0.
-1, 0, 2/11
Let o(n) be the second derivative of n**7/14 - 3*n**5/10 + n**3/2 - 15*n + 1. Solve o(d) = 0.
-1, 0, 1
Let l(p) be the first derivative of -12*p**2 - 25 - 24*p - 7/2*p**3 + 1/4*p**4. Let h(a) be the first derivative of l(a). Factor h(u).
3*(u - 8)*(u + 1)
Let u(r) be the second derivative of -r**5/8 - 5*r**4/2 - 15*r**3/4 + 55*r**2/2 - 1102*r. Factor u(x).
-5*(x - 1)*(x + 2)*(x + 11)/2
Find t such that 4272/7*t**2 + 23104/7 - 27208/7*t + 2/7*t**4 - 170/7*t**3 = 0.
1, 8, 38
Let v(a) be the second derivative of -a**6/40 - 21*a**5/80 + 37*a**4/8 + 21*a**3 + 9891*a. Solve v(i) = 0 for i.
-12, -2, 0, 7
Let c(w) be the first derivative of -5*w**4/12 + 5*w**3/2 + 25*w**2 - 212*w - 10. Let j(z) be the first derivative of c(z). Factor j(p).
-5*(p - 5)*(p + 2)
Let a(i) be the first derivative of 4/5*i - 2/15*i**3 + 56 - 1/5*i**2. Suppose a(m) = 0. Calculate m.
-2, 1
Let o(j) be the third derivative of j**5/80 + 47*j**4 + 70688*j**3 - 2760*j**2. Find i, given that o(i) = 0.
-752
Let p be 879599/(-3234) + 4/(-22). Let d = -272 - p. Factor 1/6*o**3 + d - 1/6*o**2 - 1/6*o.
(o - 1)**2*(o + 1)/6
Suppose -4*s + 1450 = 1526, -107 = -4*p + 5*s. Suppose 65/3*j**2 - 5/3*j**p - 85*j + 105 = 0. What is j?
3, 7
Suppose 275*v + 23 = -110*v + 23. Determine k so that 12/7*k**3 + 0*k**4 - 4/7*k**5 + v*k - 8/7*k**2 + 0 = 0.
-2, 0, 1
Let j(k) be the first derivative of 141 + 0*k + 5/4*k**3 - 3/8*k**4 - 7/20*k**5 - 1/4*k**2. Find f, given that j(f) = 0.
-2, 0, 1/7, 1
Suppose 36*w + 225 = 297. Let n(v) be the third derivative of -1/210*v**6 + 0*v**4 + 0 + 0*v**3 + 0*v**5 + 0*v + 1/735*v**7 + 12*v**w. What is m in n(m) = 0?
0, 2
Let i(g) be the second derivative of -g**7/1890 + 7*g**6/135 - 13*g**4/6 + g**3/6 - 65*g. Let b(k) be the third derivative of i(k). Factor b(q).
-4*q*(q - 28)/3
Factor -254351*n**2 - 714420 - 9*n**4 + 4*n**4 + 83286*n**2 + 1870*n**3 - 706860*n.
-5*(n - 189)**2*(n + 2)**2
Let j(h) = h**2 - 151*h + 5675. Let c be j(81). What is p in -2/5*p**c - 2/5*p**3 + 0 + 0*p + 4/5*p**4 + 0*p**2 = 0?
0, 1
Let m(b) be the second derivative of b**5/80 + 3*b**4/32 + 3