, -2, -1, 12
Let j(q) = q + 29. Let p be j(-15). Let g be 14*9/294*p/3. Find n, given that -52/7*n + 209/7*n**g - 242/7*n**3 + 4/7 = 0.
2/11, 1/2
Factor 34/13*k**2 + 192/13*k + 270/13.
2*(k + 3)*(17*k + 45)/13
Determine z so that 3/4*z**5 + 0 + 123/4*z**3 + 12*z**4 + 0*z + 39/2*z**2 = 0.
-13, -2, -1, 0
Let g(d) be the first derivative of -5*d**3/3 - 920*d**2 + 4230. Factor g(y).
-5*y*(y + 368)
Let y be ((-36)/143)/((-480)/6240). Let 30/11*w - 42/11*w**2 - 30/11*w**3 + 6/11 + y*w**4 = 0. What is w?
-1, -1/6, 1
Let a(y) = y**2 - 12*y - 7. Suppose 592*v = 594*v - 4. Let j = -14 - 0. Let r(k) = -1. Let d(x) = j*r(x) + v*a(x). Factor d(p).
2*p*(p - 12)
Let i(k) be the third derivative of k + 0 + 228*k**2 - 1/210*k**5 + 17/21*k**3 + 4/21*k**4. Let i(g) = 0. Calculate g.
-1, 17
Let x = 22880 + -22880. Let a(j) be the first derivative of x*j - 1/4*j**3 + 3/4*j**2 + 6. Find m such that a(m) = 0.
0, 2
Let h(k) be the second derivative of k**7/126 - 11*k**6/30 + 121*k**5/60 - 49*k**4/12 + 29*k**3/9 - 171*k + 6. Let h(d) = 0. Calculate d.
0, 1, 2, 29
Let t(b) = -b**3 + b**2 + b. Let j = -237 - -239. Let l(d) = -d**4 + 15*d**3 - 33*d**2 + 25*d - 9. Let v(p) = j*l(p) + 6*t(p). Factor v(w).
-2*(w - 9)*(w - 1)**3
Suppose 0 = 5*m - 4*f + 20, m + 2*f - 10 = -0. Let u be 24 + (m*(-1)/2)/(-3). Factor -u*l**2 - 32/3*l + 128/3 - 2/3*l**4 - 22/3*l**3.
-2*(l - 1)*(l + 4)**3/3
What is l in -1/4*l**4 + 19/4*l**2 + 15 - 17*l + 1/2*l**3 = 0?
-5, 2, 3
Let i(o) be the third derivative of 1/40*o**6 + 0 + 52*o**2 - 3/4*o**5 - 13/2*o**3 + 0*o + 27/8*o**4. Factor i(g).
3*(g - 13)*(g - 1)**2
Let d(f) be the third derivative of -f**8/672 + f**7/21 - 11*f**6/80 - 31*f**5/60 + 37*f**4/12 - 6*f**3 + 6*f**2 + 928. What is v in d(v) = 0?
-2, 1, 2, 18
Let b be -4 + (7 - -5) + 0 + -3. Let y(f) be the second derivative of -1/12*f**4 + 0*f**2 + 1/20*f**b + 2*f + 0 - 1/3*f**3. Factor y(q).
q*(q - 2)*(q + 1)
Let v(u) be the third derivative of -4/15*u**5 + 0 + 0*u - 1/540*u**6 + 50*u**2 - 16*u**4 - 512*u**3. Let v(c) = 0. What is c?
-24
Let x(f) be the first derivative of -f**8/112 + 29*f**7/70 - 291*f**2/2 + 109. Let d(o) be the second derivative of x(o). Determine k so that d(k) = 0.
0, 29
Let d(i) be the second derivative of -i**7/2520 + i**6/180 + i**5/24 + 11*i**4/12 - 3*i**2/2 + 6*i - 6. Let r(z) be the third derivative of d(z). Factor r(y).
-(y - 5)*(y + 1)
Let f = -20462 + 20462. Factor 4/13*k**3 + f*k + 0*k**2 + 2/13*k**5 + 6/13*k**4 + 0.
2*k**3*(k + 1)*(k + 2)/13
Let s = -102 - -105. Factor -12*u**s + 4*u**5 - 12*u**3 - 2*u**4 - 2*u**4 + 24*u**4.
4*u**3*(u - 1)*(u + 6)
Let v = -681776/7 - -97412. Factor -3/7*h**4 - 30/7*h**3 - 81/7 - v*h**2 - 162/7*h.
-3*(h + 1)*(h + 3)**3/7
Suppose 2*o - 5*c = -3*o + 170, -3*o + 5*c = -100. Factor -53 + 21 + 14 - o*d**2 + 18 + 5*d**3.
5*d**2*(d - 7)
Solve -v + 1/4*v**2 - 5/4 = 0 for v.
-1, 5
Let s be (682/(-88))/(-31) + (-183)/(-36). Suppose 0*v + 0 + 32/3*v**2 - 8/3*v**4 - s*v**3 + 4/3*v**5 = 0. Calculate v.
-2, 0, 2
Let x(d) = -67*d**2 - 275*d + 254. Let o(m) = -42*m**2 - 183*m + 170. Let i(n) = -8*o(n) + 5*x(n). Factor i(h).
(h - 1)*(h + 90)
Let p(d) be the third derivative of -1/192*d**6 + 0 + 1/6*d**3 + 7/96*d**4 - 17/480*d**5 + 0*d + d**2. What is m in p(m) = 0?
-4, -2/5, 1
Let o = 175521 + -175518. Factor -2/7*a**4 - 24/7*a**2 - 12/7*a**o - 20/7*a - 6/7.
-2*(a + 1)**3*(a + 3)/7
Let m(y) = -4*y**2 + 4*y - 406086 - 5*y + 406081. Let p(u) = -4*u + 5*u - 6 - 2*u - 5*u**2. Let z(n) = 6*m(n) - 5*p(n). Solve z(g) = 0 for g.
0, 1
Let v(u) be the third derivative of -320*u**2 + 0 + 0*u**3 - 1/210*u**6 - 2/15*u**5 + 16/21*u**4 + 0*u. Factor v(r).
-4*r*(r - 2)*(r + 16)/7
Let q(v) be the second derivative of v**4/18 + 6*v**3 + 240*v**2 + 6089*v. Find i such that q(i) = 0.
-30, -24
Let i(f) be the third derivative of -f**5/210 - 17*f**4/7 - 3468*f**3/7 + 746*f**2. Factor i(h).
-2*(h + 102)**2/7
Let k = -28081156/171 - -164218. Let v = k + -28/57. Factor 8/3*c - 8 - v*c**2.
-2*(c - 6)**2/9
Let v(g) be the second derivative of 0*g**2 - 4/33*g**3 + 1/66*g**4 + 12*g + 2. Factor v(m).
2*m*(m - 4)/11
Let d(q) = -9*q**3 + 14*q**2 - 13*q + 12. Let v(r) = 80*r**3 - 125*r**2 + 115*r - 105. Let w(h) = -35*d(h) - 4*v(h). Let w(k) = 0. Calculate k.
0, 1
Let n(o) be the first derivative of 2*o**3/63 + 1010*o**2/21 + 510050*o/21 - 970. Let n(k) = 0. What is k?
-505
Let w(s) be the first derivative of s**8/840 + s**7/210 + s**6/180 + 2*s**3/3 - 9*s**2 + 49. Let x(g) be the third derivative of w(g). Factor x(h).
2*h**2*(h + 1)**2
Let n(v) = -11*v**2 - 647*v - 648. Let z(r) = 12*r**2 + 649*r + 651. Let k(x) = 7*n(x) + 6*z(x). Determine a so that k(a) = 0.
-126, -1
Suppose 4499*x**2 - 2270*x**2 + 81*x**3 - 3*x**5 + 6*x**5 - 2958*x**2 + 45*x**4 = 0. What is x?
-9, 0, 3
Suppose -4*z = -g + 30, 5*g + 410*z - 31 = 413*z. Find b such that 2/7*b**3 + 3*b**4 + 0*b + 0 + 19/7*b**5 + 0*b**g = 0.
-1, -2/19, 0
Let j(z) be the second derivative of 0*z**5 - 15*z - 2/9*z**3 - 1/180*z**6 + 2*z**2 + 0 + 1/12*z**4. Let m(k) be the first derivative of j(k). Factor m(i).
-2*(i - 1)**2*(i + 2)/3
Let c(b) be the first derivative of -b**5/130 + 4*b**4/39 - 7*b**3/39 - 52*b - 23. Let g(s) be the first derivative of c(s). Determine p, given that g(p) = 0.
0, 1, 7
Let t(n) = -2*n**2 + n - 5. Let p(i) = -5*i**2 - 9*i - 20. Let q(o) = 3*p(o) - 6*t(o). Suppose q(m) = 0. What is m?
-10, -1
Let w(x) be the first derivative of x**7/420 + x**6/90 - x**5/60 - x**4/6 - 8*x**3/3 + 4*x - 20. Let u(n) be the third derivative of w(n). Factor u(c).
2*(c - 1)*(c + 1)*(c + 2)
Let l(y) be the first derivative of -y**9/6048 - y**8/840 - y**7/560 + 11*y**3/3 + y**2/2 + 82. Let d(t) be the third derivative of l(t). Solve d(r) = 0.
-3, -1, 0
Let w = 63 - 58. Suppose w*p = 68 + 32. What is o in 75*o**3 + 84*o - 10*o**4 + 15 + 10 + p*o**4 + 145*o**2 + 21*o = 0?
-5, -1, -1/2
Let v(b) be the first derivative of -b**6/21 - 66*b**5/35 + 17*b**4/7 + 7699. Solve v(l) = 0 for l.
-34, 0, 1
Let g = 6 + 174. Let w = -175 + g. Suppose -2/7 - 2/7*j**w + 6/7*j**4 - 4/7*j**2 + 6/7*j - 4/7*j**3 = 0. Calculate j.
-1, 1
Let q(z) be the third derivative of 0 - 1/24*z**4 + 0*z - 1/8*z**3 + 1/840*z**7 + 1/120*z**5 - 22*z**2 + 1/120*z**6. Factor q(m).
(m - 1)*(m + 1)**2*(m + 3)/4
Let u be (261/116)/((-1)/4). Let i(d) = 2*d**4 + d**2 + 1. Let p(j) = 6*j**4 + 81*j**3 + 90*j**2 + 51*j. Let y(m) = u*i(m) - p(m). Factor y(l).
-3*(l + 1)**3*(8*l + 3)
Let v be 51/(-2)*8/(-12)*258/774. Factor 0 - 8/3*c + 1/3*c**4 + v*c**2 - 10/3*c**3.
c*(c - 8)*(c - 1)**2/3
Let s(g) = g**3 + 11*g**2 + 31*g + 56. Let q be s(-8). Factor -2*m**3 - 2*m**2 + 7/2*m**4 + 0*m + q - m**5.
-m**2*(m - 2)**2*(2*m + 1)/2
Let c(s) = s**3 - 12*s**2 + 12*s - 7. Let b be c(11). Find n such that 16*n**b - 4*n**5 - 8*n**3 - 76*n + 112*n + 3*n**5 + 5*n**5 - 48*n**2 = 0.
-3, 0, 1
Let w = 652830 - 652828. Solve 5/4*g - 5/4*g**3 + 35/4*g**w - 35/4 = 0 for g.
-1, 1, 7
Let y = -23890 - -23770548/995. Let p = 3994/6965 + y. Solve 2/7*q**2 + p*q + 0 = 0.
-2, 0
Let t be 68/6*3 - 5. What is y in 22 - 62 + y + 6*y**2 - t*y - 10*y**2 = 0?
-5, -2
Let k(m) be the second derivative of m**5/4 + 455*m**4/4 - 10*m**3/3 - 2730*m**2 - 5481*m. Factor k(j).
5*(j - 2)*(j + 2)*(j + 273)
Let x(j) be the second derivative of -5*j**4/12 + 3930*j**3 - 13900410*j**2 - 7716*j. Find d such that x(d) = 0.
2358
Let d(f) be the third derivative of -f**7/1260 - 13*f**6/48 - 536*f**5/15 - 18688*f**4/9 - 65536*f**3/3 + 2530*f**2. Determine i, given that d(i) = 0.
-64, -3
Let d be -1 - 3 - (-5)/((-25)/(-10)). Let t be (9/d)/((-24)/336). Determine a, given that 0 - 49/2*a**5 - t*a**4 - 18*a**2 - 109/2*a**3 - 2*a = 0.
-1, -2/7, 0
Let v(u) = 2*u**3 + 2*u**2 - u. Let w(c) = -c**5 + 16*c**4 - 45*c**3 + 38*c**2 + 49*c - 48. Let s(q) = 12*v(q) - 4*w(q). Solve s(l) = 0.
-1, 1, 2, 12
Let m(i) be the second derivative of -2/3*i**4 - 1 + 0*i**2 + 0*i**3 + 1/20*i**5 + 19*i. Factor m(r).
r**2*(r - 8)
Let o be 4/(13 + 3 - 6). Let l be (9/(-8) - 0)*28/(-35). Factor 3/5*u**2 + o + l*u + 1/10*u**3.
(u + 1)**2*(u + 4)/10
Suppose 2*j - 4*n + 11549 = 11573, 5*j + 2*n = 12. Suppose -7*k**3 + 0 + 22/3*k**2 - 1/3*k**j + 0*k = 0. Calculate k.
-22, 0, 1
Suppose 0 = 5*v - 7*z + 8*z - 20, -4 = -v - 4*z. Suppose -5*p = -12*q + 16*q - 6, v*p