4 - 3*b**5 - 11922*b**z - 57*b - 51*b - 111*b**3 + 180*b**2.
-3*b*(b - 3)**2*(b - 2)**2
Let d = 6865/13706 + -6/6853. What is k in 2/3*k + 5/6*k**2 - 1/6*k**5 + 0 - 5/6*k**4 - d*k**3 = 0?
-4, -1, 0, 1
Let l(x) = -x**3 + 14*x**2 - 22*x - 21. Let j be l(12). Factor 2*s**5 - 238*s**4 - 16 + 8*s**j - 8*s - 6*s**3 + 20*s**2 + 230*s**4.
2*(s - 2)**3*(s + 1)**2
Let c(f) be the second derivative of 1/72*f**4 + 0 - 136*f - 10/3*f**2 + 1/2*f**3. Factor c(y).
(y - 2)*(y + 20)/6
Let y = 263 + -238. Solve 20*u**4 + 5*u**5 + u + y*u**3 - 282*u**2 - u + 292*u**2 = 0 for u.
-2, -1, 0
Let d(t) = -15*t**2 + 882*t + 303. Let x(p) = p**2 - 34*p - 2. Let b(j) = d(j) + 18*x(j). Factor b(l).
3*(l + 1)*(l + 89)
Let c(d) be the third derivative of 5/6*d**3 + 1/60*d**5 + 84*d**2 + 1/4*d**4 + 0*d + 0. Factor c(g).
(g + 1)*(g + 5)
Suppose 53*s - 57*s - 3*t = -12, -4*t + 16 = 0. Determine q so that -1/2*q**2 + 1/2*q**4 + 0*q + s*q**3 + 0 = 0.
-1, 0, 1
Let h = 185384/5 + -2224603/60. Factor -1/6 + h*n + 1/12*n**2.
(n - 1)*(n + 2)/12
Let p(g) be the second derivative of g**6/960 - 7*g**5/320 - 11*g**4/16 + 35*g**3 + 33*g - 3. Let h(a) be the second derivative of p(a). Solve h(y) = 0.
-4, 11
Suppose 2426*t - 2507*t + 162 = 0. Determine u, given that 16/5*u**t + 0 + 18/5*u**3 - 2/5*u = 0.
-1, 0, 1/9
Let h = 61/30 - 8/15. Suppose -316*b + 2 = -315*b. Factor h*t - 3/2*t**b + 3.
-3*(t - 2)*(t + 1)/2
Factor 125/7*y**4 - 12160/7*y - 1/7*y**5 - 4096/7 - 3715/7*y**3 - 11905/7*y**2.
-(y - 64)**2*(y + 1)**3/7
Suppose 0 = -2*y, -3*m + 2*y - 3*y + 3 = 0. Let n be m*(-7)/(28/(-8)) - 0. Factor -2*t**4 + t**4 + n*t**4 - 2*t**2 + t**4.
2*t**2*(t - 1)*(t + 1)
Find r such that 1/4*r**4 - 68*r - 135/2*r**2 - 91/4 - 22*r**3 = 0.
-1, 91
Determine y so that 21*y - 78*y - 4*y**2 + 1109 + 335 + 2*y**2 + 19*y = 0.
-38, 19
Let t(q) be the third derivative of -99/80*q**5 - 16 - 97/320*q**6 + 0*q - 35/16*q**4 - 1/35*q**7 - 2*q**2 - 1/2*q**3. Let t(u) = 0. Calculate u.
-2, -1/16
Let n(o) = -2*o**2 - 91*o - 92. Let l = 324 + -327. Let z(g) = 4*g**2 + 272*g + 276. Let i(a) = l*z(a) - 8*n(a). Solve i(v) = 0.
-1, 23
Let f(k) = -3*k - 6. Let o be f(-2). Suppose 5 = 5*a - 0, -n - 5*a + 8 = o. Solve -1 - s**3 + 2*s + 4*s**2 - 5 - s**n + 2 = 0.
-1, 1, 2
Let b(g) be the first derivative of -g**4 + 4060*g**3/3 + 2032*g**2 + 4233. Let b(r) = 0. Calculate r.
-1, 0, 1016
Let m = -347 - -353. Let x be (-33)/(-132) + (m/(-88))/1. Let x*u**5 - 6/11*u**4 + 6/11*u**2 - 10/11*u**3 + 0 + 8/11*u = 0. Calculate u.
-1, 0, 1, 4
Let y(x) = x**2 + 1391*x + 9690. Let v be y(-7). Determine r so that -2/3*r**5 - 4/3*r**3 - 8/3*r**2 + 8/3*r**4 + 0 + v*r = 0.
-1, 0, 1, 3
Let n(w) be the first derivative of 5/36*w**4 + 5*w + 14 + 5/6*w**2 - 5/9*w**3. Let a(t) be the first derivative of n(t). Determine j so that a(j) = 0.
1
Let i(m) be the first derivative of m**5/25 + 243*m**4/10 + 58561*m**3/15 - 59292*m**2/5 + 59536*m/5 - 4276. Find g, given that i(g) = 0.
-244, 1
Let w(x) be the first derivative of -x**6/360 - 13*x**5/120 + 10*x**3 + 55. Let c(i) be the third derivative of w(i). Solve c(z) = 0.
-13, 0
Suppose -368 = -49*v + 3*v. Let m(z) = z**3 - 7*z**2 - 10*z + 28. Let p be m(v). Factor p + 3/4*i**2 - 6*i.
3*(i - 4)**2/4
Let y(n) be the first derivative of -n**5/15 + 5*n**4/9 - 192*n + 82. Let m(q) be the first derivative of y(q). Let m(k) = 0. Calculate k.
0, 5
Let a(d) = 19*d**4 - 70*d**3 - 104*d**2 - 7*d - 7. Let h(g) = 14*g**4 - 47*g**3 - 70*g**2 - 5*g - 5. Let l(b) = 5*a(b) - 7*h(b). Factor l(z).
-3*z**2*(z + 2)*(z + 5)
Let h(j) be the third derivative of j**6/30 - 2*j**5/3 + 23*j**4/6 - 28*j**3/3 - 188*j**2 + 4*j. Factor h(f).
4*(f - 7)*(f - 2)*(f - 1)
Factor -2514/7*z**2 - 2/7*z**3 - 147120118/7 - 1053366/7*z.
-2*(z + 419)**3/7
Let v(k) be the second derivative of k**5/120 - k**4/24 - 2*k**3/3 - 7*k**2/2 + 4*k + 4. Let b(w) be the first derivative of v(w). Factor b(h).
(h - 4)*(h + 2)/2
Let d(t) be the third derivative of -8/21*t**3 + 1/735*t**7 - 56*t**2 + 0 - 1/70*t**5 - 1/105*t**6 + 0*t + 1/6*t**4. Factor d(q).
2*(q - 4)*(q - 1)**2*(q + 2)/7
Let s = -2291 - -2291. Let t = 1276 + -1276. Let -1/3*l**2 + s + t*l = 0. Calculate l.
0
Factor -582*p**4 + 1052*p + 216*p**2 - 574*p**4 + 391*p**2 + 456 + 125*p**2 + 1152*p**4 + 132*p**3.
-4*(p - 38)*(p + 1)**2*(p + 3)
Suppose -5*i = -20, 5*i = -5*c - 19 + 49. What is a in -367*a**2 + 407*a**2 - 64*a - 6*a**3 + c*a**3 = 0?
0, 2, 8
Let l(v) = 4. Let n(h) = 5. Let k(x) = 4*l(x) - 3*n(x). Let p = 7 + -8. Let j(t) = t**2 - 4*t - 4. Let d(o) = p*j(o) + k(o). Factor d(b).
-(b - 5)*(b + 1)
Suppose -4*w - 2*a + 6102 = 0, -3*w + 4*a - 9*a + 4559 = 0. Factor -1528 + 10*o**4 + w - 14*o**3 - 2*o**5 + 6*o**2.
-2*o**2*(o - 3)*(o - 1)**2
Let z(o) = o**3 - 2*o**2 - 1. Let c(j) = -10*j**3 - 72*j**2 + 544*j + 630. Let g(r) = -c(r) - 6*z(r). Factor g(b).
4*(b - 6)*(b + 1)*(b + 26)
Let k(p) = 20*p - 75. Let d be k(4). Suppose -f - d*u - 5 = 0, -3*f - u = 1 - 0. What is g in 0*g + f + 3/7*g**3 + 0*g**2 = 0?
0
Let q(w) be the third derivative of 89*w**6/280 - w**5/210 + 1732*w**2. Suppose q(x) = 0. Calculate x.
0, 2/267
Factor -87616/9 - 5564*d**3 - 169/9*d**4 - 126688*d - 3717172/9*d**2.
-(d + 148)**2*(13*d + 2)**2/9
Suppose 2*x - 3*o = 70, x - 3*o = 4*x - 75. Suppose 3*i = 4*j + x + 63, -4*j = -5*i + 148. Factor -5*w - 8 + 30*w**2 - w - i*w**2.
2*(w - 4)*(w + 1)
Let g(w) be the third derivative of w**6/30 - 23*w**5/15 + 40*w**4/3 - 152*w**3/3 - 6*w**2 - 4*w + 15. Factor g(b).
4*(b - 19)*(b - 2)**2
Suppose 0 = -6*b + 5*p + 97, -40*b = -35*b - 4*p - 78. Factor 49/4 - t**3 - 105/2*t + 57/4*t**b.
-(t - 7)**2*(4*t - 1)/4
Suppose j - 2*g - 2*g = -12, 4*j - g = 12. Suppose -19*k + 17*k = -j. Factor 3 + 35*p + 12*p**3 - 24*p - 3*p**k - 23*p.
3*(p - 1)*(p + 1)*(4*p - 1)
Suppose 21586 = 237*s + 21112. Determine f so that 374/13*f + 14/13*f**s - 108/13 = 0.
-27, 2/7
Suppose 0 = 276*b - 271*b. Let s(l) be the second derivative of 0 - 1/48*l**4 + l - 7/24*l**3 + b*l**2. Factor s(o).
-o*(o + 7)/4
Let m(n) = 48*n + 866. Let x be m(-18). Let l(f) be the first derivative of 0*f - 16 - 2/3*f**x + 4/9*f**3 - 1/12*f**4. Solve l(b) = 0 for b.
0, 2
Let w = -31 - -59. Determine p so that -56*p**2 + w*p**2 - 12 + 25*p**2 + 12*p = 0.
2
Let u(o) be the third derivative of 7/3*o**3 + 15*o**2 + 0*o + 0 + 1/15*o**4 - 1/150*o**6 - 1/150*o**5. Let d(r) be the first derivative of u(r). Factor d(v).
-4*(v + 1)*(3*v - 2)/5
Let y = 653/420 - 23/420. Let l(j) be the first derivative of 8 + 0*j + y*j**2 - j**3. Factor l(p).
-3*p*(p - 1)
Let o = -2459 + 2461. Suppose -3*t + 2 = o*k, -2 = 4*t + 9*k - 4*k. Factor -9/2*b + t - 5/4*b**2.
-(b + 4)*(5*b - 2)/4
Let o(k) be the second derivative of k**6/105 - 2*k**5/5 + 9*k**4/14 - 122*k + 41. Factor o(a).
2*a**2*(a - 27)*(a - 1)/7
Factor -399*x - 976*x**2 - 160 + 315*x + 974*x**2.
-2*(x + 2)*(x + 40)
Let c(j) = 81*j - 7*j**2 - 195*j + 35*j + 499 - 55*j. Let a(h) = 3*h**2 + 66*h - 249. Let z(i) = 13*a(i) + 6*c(i). Factor z(f).
-3*(f - 9)**2
Let q(h) be the third derivative of h**5/75 + 21*h**4/20 - 32*h**3/15 - 102*h**2 - h. Find z, given that q(z) = 0.
-32, 1/2
Let z = 642169/72 - 8919. Let g(i) be the third derivative of 12*i**2 + 1/360*i**6 + 0 + 0*i - 1/45*i**5 + 2/9*i**3 - z*i**4. Find f, given that g(f) = 0.
-1, 1, 4
Let s(k) be the first derivative of -35*k**6/6 - 30*k**5 - 215*k**4/4 - 40*k**3 - 10*k**2 - 2942. What is g in s(g) = 0?
-2, -1, -2/7, 0
Let p(c) be the first derivative of 25/8*c**3 - 5/12*c**4 - 9*c + 5/2*c**2 - 24. Let z(l) be the first derivative of p(l). Factor z(r).
-5*(r - 4)*(4*r + 1)/4
Let p(s) be the third derivative of s**7/1890 - 29*s**6/540 + 2*s**5/5 + 756*s**2. Determine h, given that p(h) = 0.
0, 4, 54
Let m(w) = 4*w + 2*w**3 - 25*w**3 - 4*w**3 + 7*w**2 + w**2 - 141*w**5 + 14*w**4 + 138*w**5. Let l(a) = -2*a**3 + a. Let v(h) = -4*l(h) + m(h). Factor v(b).
-b**2*(b - 1)**2*(3*b - 8)
Suppose 4*f - 375 + 183 = 0. Let n = f + -237/5. Let -21/5*r**2 + 0*r + 12/5 + 9/5*r**4 - n*r**5 + 3/5*r**3 = 0. Calculate r.
-1, 1, 2
Suppose 113*z = 121*z - 64. Suppose 5*w + z - 23 = 0. Factor 21/2 - 3/2*d**4 - 6*d**w - 30*d + 27*d**2.
-3*(d - 1)**3*(d + 7)/2
Let z be 21*3/54*6. Let n = -31/5 + z. Find q such that -n*q**2 - 1/5*q - 6/5*q**3 - 4/5*q**4 - 1/5*q**5 + 0 = 0.
-1, 0
