. Let -5/4*z**3 - 5/4*z**u + 5 + 5*z = 0. Calculate z.
-2, -1, 2
Let p(u) be the second derivative of u**5/50 + 11*u**4/30 + 28*u**3/15 + 981*u. Factor p(j).
2*j*(j + 4)*(j + 7)/5
Let c(y) be the third derivative of y**8/1176 - 5*y**7/49 - y**6/210 + 5*y**5/7 + y**4/84 - 25*y**3/7 + 816*y**2. Determine t, given that c(t) = 0.
-1, 1, 75
Suppose 0 = 4*j - 4*p - 28, -76*j + 71*j + p + 19 = 0. Let a(s) be the first derivative of 3*s**2 + 1/3*s**j + 12 + 9*s. Factor a(n).
(n + 3)**2
Suppose -28615*u + 28358*u = -524 - 247. Factor -384/11*h**u + 6/11*h**4 + 0*h + 6144/11*h**2 + 0.
6*h**2*(h - 32)**2/11
Let c(t) = 273*t**2 - 5*t - 7. Let r be c(3). Factor -6*h**2 - r*h + 2*h**2 + 2367*h.
-4*h*(h + 17)
Factor 54*x**3 + 1300/3*x**2 + 1166/3*x + 28/3.
2*(x + 1)*(x + 7)*(81*x + 2)/3
Suppose 8*m - 25 = 3*m. Suppose -2*z = -h - 2 - 0, 5*h = 5*z + m. Factor 4*i**3 - i + 13*i**2 - 3*i - 4*i**h - 9*i**2.
-4*i*(i - 1)**2*(i + 1)
Let l be (((-2)/(-20))/(5236/(-256445)) - (-6)/(-16)) + 8. Find k, given that -28/11*k**2 + 2/11*k**3 + 0 - l*k = 0.
-1, 0, 15
Suppose 5*g - 18 + 1 = 3*a, -4*g + 2*a = -12. Suppose -4*v = 5*o - 11, g = -o - 0. Factor -5*w**3 + 3*w**3 + v*w**3 + w**3 - 3*w.
3*w*(w - 1)*(w + 1)
Let l(q) be the third derivative of -q**6/300 + 3*q**5/50 - 7*q**4/30 - q**2 + 14. Find c such that l(c) = 0.
0, 2, 7
Let j = 9 - 3. Let d(f) = 6*f**2 + 71*f + 118. Let p(r) = 3*r**2 + 36*r + 60. Let g(y) = j*d(y) - 11*p(y). Find u, given that g(u) = 0.
-8, -2
Factor 8527788/5*s - 4792616856/5 + 1/5*s**3 - 5058/5*s**2.
(s - 1686)**3/5
Let x(b) be the third derivative of 7*b**4/12 - 83*b**3/3 - b**2 + 13. Let d be x(12). Let -13/3*l**2 - d*l**3 - 4/3 - 1/3*l**4 - 4*l = 0. What is l?
-2, -1
Factor 2584/13*m + 2/13*m**4 + 76/13*m**3 + 2312/13 + 66*m**2.
2*(m + 2)**2*(m + 17)**2/13
Let w = -212 + 231. Suppose -5*f + 3*s + 18 + 9 = 0, -s - w = -5*f. Factor -12/7 + 3/7*d**f - 3*d - 6/7*d**2.
3*(d - 4)*(d + 1)**2/7
Let c = -270 - -302. Let t = 5 + -3. Let 75 - 22 + 51 + 24 + t*w**2 - c*w = 0. Calculate w.
8
Let d(i) = 24*i - 69. Let q be (56 - 60)/((-8)/6). Let v be d(q). Factor -1/3*r + 1/3*r**v + 0*r**2 + 0.
r*(r - 1)*(r + 1)/3
Let f(y) be the first derivative of -2/3*y**3 + 2*y**2 - y**4 - 32 + 2/5*y**5 + 0*y. Factor f(m).
2*m*(m - 2)*(m - 1)*(m + 1)
Let z(u) be the third derivative of -u**5/12 - 325*u**4/24 + 170*u**3 - 71*u**2 + 14. Factor z(g).
-5*(g - 3)*(g + 68)
Let i be (4 + 69/(-15))*(-8650)/1038. Solve -10/3*s**i - 4/3*s + 8*s**2 + 13*s**4 + 0 - 49/3*s**3 = 0 for s.
0, 2/5, 1/2, 1, 2
Let x(z) = -48*z**2 - 126*z - 69. Let s(q) = -q**3 + 2*q**2 + 7*q + 1. Let d(n) = -3*s(n) - x(n). Determine y so that d(y) = 0.
-11, -2, -1
Let l = -6189 - -24761/4. What is o in -35/2*o**2 - l*o**5 - 5/4*o**3 + 5*o**4 + 25*o - 10 = 0?
-2, 1, 2
Suppose -5 = z - 3*b, 32*z - 6 = 36*z - 5*b. Let t be 261/(-145) + z/((-1)/(-3)). Solve -1176/5 + 168/5*a - t*a**2 = 0 for a.
14
Find j, given that -3/5*j - 462/5*j**2 + 462/5 + 3/5*j**3 = 0.
-1, 1, 154
Let r(t) = 3*t**4 + 7*t**3 - 34*t**2 + 17. Let j = -21 - -14. Let g(l) = l**4 + 4*l**3 - 18*l**2 + 9. Let v(k) = j*g(k) + 4*r(k). Solve v(o) = 0 for o.
-1, 1
Let v(g) be the first derivative of 3*g + 7/20*g**5 - 1/8*g**4 + 57 - 7/2*g**2 - 49/12*g**3. Determine f, given that v(f) = 0.
-2, -1, 2/7, 3
Let v = 159768/1038323 - 2/79871. Factor -12/13 + v*y**3 - 16/13*y**2 + 2*y.
2*(y - 6)*(y - 1)**2/13
Suppose -k + s = -10, 3*k = 5*s + 77 - 27. Let -1/8*t**3 + 1/8*t + k + 0*t**2 = 0. What is t?
-1, 0, 1
Suppose 14*n = 18 + 10. Factor 0*r + 3*r - 3*r**n + 4*r - 2*r - 2*r + 6.
-3*(r - 2)*(r + 1)
Let m(n) = 244*n**2 + 8396*n + 68644. Let b(w) = 246*w**2 + 8394*w + 68644. Let s(f) = -6*b(f) + 5*m(f). Find q such that s(q) = 0.
-131/8
Factor 4*h**2 + 17/2*h + 5 + 1/2*h**3.
(h + 1)*(h + 2)*(h + 5)/2
Find g, given that -126956 + 3241*g**3 - 3242*g**3 - 81787*g - 113311 - 569*g**2 = 0.
-283, -3
Let w(a) = -a. Let r(c) = -2*c**2 + 22*c + 30. Suppose 1 = -2*o + 3*l, l - 13 = 2*o - 14. Let v(s) = o*r(s) - 6*w(s). Determine t so that v(t) = 0.
-1, 15
What is w in -951477 + 7696*w + 6496500 + 2*w**2 - 842900 + 2701429 = 0?
-1924
Let s be (-5)/3*(-2835)/1575. Let d(q) be the third derivative of 0*q**4 - 30*q**2 + 0 - 1/150*q**5 + 1/175*q**7 + 1/150*q**6 + 0*q + 0*q**s. Factor d(b).
2*b**2*(b + 1)*(3*b - 1)/5
Let k be (32/80)/((-38)/(-140)). Let h = -9367/6 + 178561/114. Factor -2/19*v**2 - k*v - h.
-2*(v + 7)**2/19
Let p(j) = 14*j**2 + 4*j - 4. Let d be p(1). Factor -d*g**3 + 8*g + 0*g**4 + 3*g**4 + 16*g**2 + 9*g**4 - 22*g**4.
-2*g*(g - 1)*(g + 2)*(5*g + 2)
Let g(n) be the third derivative of -n**8/2184 + 2*n**7/105 + 821*n**6/780 + 2287*n**5/195 - 205*n**4/39 - 4600*n**3/39 + 9760*n**2. Solve g(v) = 0.
-10, -1, 1, 46
Let d(x) be the first derivative of -x**6/144 + 5*x**5/48 - 5*x**4/12 + 2*x**3/3 - 2*x + 118. Let g(h) be the third derivative of d(h). Factor g(a).
-5*(a - 4)*(a - 1)/2
Let f(g) = -5*g**2 + 497*g + 1017. Let l be f(-2). Factor -144/7*w + 8/7*w**2 + 36/7*w**l - 32/7.
4*(w - 2)*(w + 2)*(9*w + 2)/7
Factor 1073*q**2 - 352*q - 1005*q**2 + 2 + 84*q**3 - 48 - 24*q**3 - 2.
4*(q - 2)*(q + 3)*(15*q + 2)
Let g(w) be the second derivative of 1/16*w**4 + 0 + 3/2*w**2 - 2/3*w**3 + 1/80*w**5 + 69*w. Factor g(f).
(f - 2)*(f - 1)*(f + 6)/4
Let c(x) be the first derivative of -2*x**5/5 + 13*x**4/3 - 134*x**3/9 + 44*x**2/3 + 1661. Suppose c(w) = 0. Calculate w.
0, 1, 11/3, 4
Suppose 10*r + 1181 = -2609. Let x = r + 1898/5. Let -6/5 - x*v + 6/5*v**2 + 3/5*v**3 = 0. Calculate v.
-2, -1, 1
Let a(u) be the third derivative of -u**7/42 + 661*u**6/24 - 12155*u**5 + 6745750*u**4/3 - 26620000*u**3/3 + 111*u**2 + u. Solve a(v) = 0 for v.
1, 220
Let u be 0 - (0 + 1)*-3. Let f be 27/u + (-3)/3. Factor -8 - 6*m - f*m - 12*m**2 + 34*m.
-4*(m - 1)*(3*m - 2)
Let y(a) be the third derivative of 0*a**5 + 1/2016*a**8 + 0 - 1/144*a**6 - 18*a**2 + 1/36*a**4 + 0*a**3 + 0*a**7 + 0*a. Suppose y(p) = 0. What is p?
-2, -1, 0, 1, 2
Let 2/7*x**3 + 48/7*x**2 + 258/7*x - 44 = 0. What is x?
-14, -11, 1
Suppose -5*v + 3*d = 0, -3*v - 2*d + 3*d + 4 = 0. Suppose 195*p**v - 25*p**4 + 5*p**5 - 215*p**2 + 150*p - 50*p**3 - 40 - 20*p**4 = 0. What is p?
1, 2, 4
Let 43*t**4 + 12*t**3 - 39*t**4 - 13*t - 3*t = 0. What is t?
-2, 0, 1
Let l(d) be the third derivative of -d**6/30 + 19*d**5/15 + 11*d**4 - 5*d**2 + 112. Factor l(i).
-4*i*(i - 22)*(i + 3)
Let i be (936/(-60))/((-27)/(-960)). Let r = 555 + i. Determine s, given that 1/3*s + 1/3*s**2 - r*s**4 + 0 - 1/3*s**3 = 0.
-1, 0, 1
Let w(s) be the second derivative of -s**4 + 17 + 2*s + 1/5*s**5 + 0*s**2 + 0*s**3. Determine y, given that w(y) = 0.
0, 3
Let z = 103/70 - 1/14. Let s = 29/10 - z. Factor 3/4*l + 3/4 + 3/4*l**5 - 3/2*l**2 + 3/4*l**4 - s*l**3.
3*(l - 1)**2*(l + 1)**3/4
Let a(x) = -x**2 - 104*x - 493. Let n be a(-5). Let q(l) be the first derivative of -1/7*l**2 + n - 2/7*l**3 + 6/7*l + 1/14*l**4. Factor q(o).
2*(o - 3)*(o - 1)*(o + 1)/7
Let s(y) be the first derivative of y**5/10 - 3*y**4/8 - 11*y**3/6 + 3*y**2/4 + 5*y + 183. Determine z, given that s(z) = 0.
-2, -1, 1, 5
Let p(z) be the first derivative of 2*z**5/105 + 17*z**4/84 + 4*z**3/21 - 33*z**2/2 + 2*z + 29. Let t(l) be the second derivative of p(l). Solve t(y) = 0 for y.
-4, -1/4
Let d(p) be the first derivative of p**4/12 + 16*p**3/3 + 30*p**2 + 176*p/3 + 342. Factor d(t).
(t + 2)**2*(t + 44)/3
Let r = 936 + -917. Let n(f) be the third derivative of 0 - 7/8*f**4 + 3/20*f**5 + f**3 - r*f**2 + 0*f. Factor n(v).
3*(v - 2)*(3*v - 1)
Factor 2*t**2 + 22468 + 2*t**2 - 6454 - 840*t + 28086.
4*(t - 105)**2
Let u be (4/(-238))/((-89)/534)*21/2. Solve u*q**3 + 152/17 + 318/17*q**2 - 448/17*q = 0 for q.
-19, 2/3
Determine u so that -262*u + 1580/3 - 2/3*u**2 = 0.
-395, 2
Let h(z) be the second derivative of z**7/280 - z**6/40 - z**5/40 + 3*z**4/8 - 14*z**3/3 + 107*z. Let a(c) be the second derivative of h(c). Factor a(t).
3*(t - 3)*(t - 1)*(t + 1)
Let p(k) be the third derivative of k**7/1050 - 13*k**6/600 + 31*k**5/150 - 16*k**4/15 + 16*k**3/5 - 3*k**2 - 5*k - 79. Factor p(g).
(g - 4)**2*(g - 3)*(g - 2)/5
Let l(n) = -n**2 + 7*n + 54. Let a be l(11). Let u be (3/(-4))/(a/200*-5). Factor 3/2*w**5 + u*w**3 - 4*w**4 + 0*w**2 - 1/2*w + 0.
w*(w - 1)**3*(3*w + 1)/2
Let 1/7*p**4 + 8428892481/7 + 550