t 1/2*d**s + 37/4*d - 13/2 + 29/4*d**2 = 0.
-13, -2, 1/2
Solve 7/4*u**3 + 0 - 64*u + 447/2*u**2 = 0 for u.
-128, 0, 2/7
Let s(z) be the third derivative of z**5/480 - 17*z**4/96 + 6*z**3 - 8*z**2 + 9*z - 4. Factor s(n).
(n - 18)*(n - 16)/8
Factor -4*p + 10 + 2*p**3 - 36 + 2*p + 20*p**2 + 0*p**3 + 6.
2*(p - 1)*(p + 1)*(p + 10)
Find z, given that -16*z + 27*z**2 - 30*z**2 - 205*z**3 + 48 + 406*z**3 - 200*z**3 = 0.
-4, 3, 4
Factor -13/7*a**2 - 15/7*a + 0.
-a*(13*a + 15)/7
Let k = 216944 + -216944. Factor k - 1/4*g**2 + 1/4*g.
-g*(g - 1)/4
Let j be 1/(28/(-35) + (-102)/(-140)). Let p = -12 - j. Solve -11*w**3 - w**4 + p*w**2 + 10*w**3 + w**5 - w**2 = 0 for w.
-1, 0, 1
Factor 19/2*m**3 + 88*m - 1/2*m**4 - 52*m**2 + 0.
-m*(m - 11)*(m - 4)**2/2
Let x be 30/(-90) + (-20)/(-6). Suppose 31*p + x*p**3 - 8 + 8*p + 27*p**2 + 6*p + 29 = 0. Calculate p.
-7, -1
Let f be ((-2)/(-24))/(2/(-4))*(-109 + 101). Let i(u) be the second derivative of 2/5*u**5 + f*u**3 + 8*u + 0 + 0*u**2 - 5/3*u**4. Find r such that i(r) = 0.
0, 1/2, 2
Let s be ((-744)/1674)/((-22)/9). What is h in -12/11 - 2/11*h**3 + 8/11*h**2 - s*h = 0?
-1, 2, 3
Suppose 0*w - 7 = a + 3*w, 0 = -a - 4*w - 9. Let g be 5 + -4 - (-2 - a). Factor -9*q + 3*q**g + 4*q + 5*q.
3*q**2
Let c(f) be the third derivative of -f**8/840 + 13*f**7/1050 - 11*f**6/300 - f**5/75 + f**4/5 - 3*f**3/10 - 5711*f**2 + 1. Solve c(j) = 0.
-1, 1/2, 1, 3
Let r(q) = -4*q**3 + 85*q**2 + 79*q - 154. Let y(j) = 5*j**3 - 87*j**2 - 78*j + 152. Let g(n) = 4*r(n) + 3*y(n). Factor g(i).
-(i - 80)*(i - 1)*(i + 2)
Suppose -1469*m - 36 = -1473*m. Let o be -13 + (m - 1) + 38/6. Determine g so that -o*g**2 + 8/9*g + 0 + 4/9*g**3 = 0.
0, 1, 2
Let v(y) be the third derivative of -1/42*y**7 + 0 + 6*y - 640/3*y**3 - 2/3*y**6 - 8*y**5 - 160/3*y**4 + 5*y**2. Determine o, given that v(o) = 0.
-4
Let j(f) be the first derivative of -f**6/6 - 8*f**5/5 + 9*f**4/4 + 3678. Determine x so that j(x) = 0.
-9, 0, 1
Factor 1/5*d**5 + 64/5*d**3 - 22/5*d**4 + 136/5 + 334/5*d**2 + 383/5*d.
(d - 17)*(d - 8)*(d + 1)**3/5
Let s(m) be the first derivative of 5*m**4/4 + 325*m**3/3 - 665*m**2/2 + 335*m - 955. Factor s(p).
5*(p - 1)**2*(p + 67)
Let u(k) = -4*k**2 + 28*k. Let l(s) = s. Let m(x) = 1 - 14*x**2 + 10*x**2 + 3*x**2 + 13*x. Let d be m(13). Let b(g) = d*u(g) - 24*l(g). Factor b(q).
-4*q*(q - 1)
Factor -32*c**3 + 0 + 19/6*c**4 + 165/2*c**2 - 25/3*c.
c*(c - 5)**2*(19*c - 2)/6
Factor -2714/13*f - 2/13*f**2 - 2712/13.
-2*(f + 1)*(f + 1356)/13
Find y such that -210*y**3 + 310*y - 1980*y**2 + 4530*y + 148472575*y**4 - 148472580*y**4 = 0.
-22, 0, 2
Let g be (13/520)/(8/192). Let j(d) be the first derivative of 0*d + 3/2*d**2 + 15 - 3/4*d**4 + d**3 - g*d**5. Factor j(y).
-3*y*(y - 1)*(y + 1)**2
Let i(f) be the third derivative of -f**6/40 - 7*f**5/20 + 85*f**4/8 + 91*f**3/2 + 2*f**2 - 32*f + 14. What is z in i(z) = 0?
-13, -1, 7
Suppose 39*h - 15 = 34*h. Suppose 0 = -h*d - 5 + 14. Factor 3*f**2 + 12*f**3 - f**3 - 7*f**3 - 3*f**4 - 7*f**3 + d*f.
-3*f*(f - 1)*(f + 1)**2
Determine r so that -204*r**3 + 681*r**2 - 662*r**2 + 0*r**4 + 0*r**4 + 3*r**4 + 377*r**2 = 0.
0, 2, 66
Solve 6*a**3 + 44888*a - 26598*a + 53665*a - a**3 + 0*a**3 + 1215*a**2 - 226935 = 0.
-123, 3
Let y(b) = 25*b**2 + 1603*b + 626. Let q(z) = -10*z**2 - 801*z - 314. Let c(k) = 7*q(k) + 3*y(k). Solve c(w) = 0 for w.
-2/5, 160
Suppose -9 = -5*m + 31. Suppose m = -18*j + 19*j. Factor -4*a**2 + 2*a**2 + 2*a**4 + j*a + 859*a**3 - 867*a**3.
2*a*(a - 4)*(a - 1)*(a + 1)
Let s(j) be the first derivative of -2 + 1/18*j**4 - 2/9*j**3 + 1/3*j**2 + 5*j. Let i(g) be the first derivative of s(g). Factor i(n).
2*(n - 1)**2/3
Let i be (-132)/(-36) - (-2)/(-3). Suppose i*w = 17*w - 28. Suppose -72*m + 26*m**3 + 0*m**5 + 38*m**4 + 4*m**5 - 10*m**4 + 26*m**3 - 12*m**w = 0. Calculate m.
-3, -2, 0, 1
Let b = -2960923/11 + 269175. Find m, given that -b*m**4 + 0 + 0*m**2 + 0*m**3 + 2/11*m**5 + 0*m = 0.
0, 1
Let x(p) be the second derivative of -11 + 50*p**2 + 4*p + 7/4*p**4 - 1/20*p**5 - 20*p**3. Let x(w) = 0. What is w?
1, 10
Factor 117/8 + 1/8*d**3 - 81/8*d - 37/8*d**2.
(d - 39)*(d - 1)*(d + 3)/8
Let 28/17 + 2/17*z - 28/17*z**2 - 2/17*z**3 = 0. What is z?
-14, -1, 1
Let y(p) be the second derivative of 0 + 43*p + 1/18*p**4 - 14/9*p**3 + 13/3*p**2. Find w such that y(w) = 0.
1, 13
Let w be (4/6)/((-77)/(-2079)). Suppose -2*y = w*y. Factor 2/7*h**4 - 1/7*h**3 + 0*h**2 + y - 1/7*h**5 + 0*h.
-h**3*(h - 1)**2/7
Let f(z) = -4*z**2 + 4*z + 3. Let y be (-5)/15*-3 - -1*2. Let r(q) = 1 - 4*q**2 + 0*q + 3*q + y + q. Let o(t) = -4*f(t) + 3*r(t). Factor o(j).
4*j*(j - 1)
Suppose 669 = 12*s - 7*s + 3*g, -3*s + 411 = 5*g. Let i = -395/3 + s. Let -2/3*k - 1/3 - i*k**2 = 0. Calculate k.
-1
Let u(t) = 361*t - 27433. Let a be u(76). Determine f so that 3888/7*f - 1080/7*f**2 + 16*f**a - 4/7*f**4 - 2916/7 = 0.
1, 9
Let l = -6/424387 - -848924/10609675. Factor -l*p**2 + 2/25*p + 4/25.
-2*(p - 2)*(p + 1)/25
Suppose j + 12 = -3*j - 3*p, -5*j = 2*p + 8. Let n(t) be the second derivative of -4*t**3 + 10*t**2 + 1/3*t**4 + j - 12*t. Factor n(a).
4*(a - 5)*(a - 1)
Let o(a) be the first derivative of -1/39*a**6 - 133 + 4/39*a**3 - 2/13*a**4 + 4/13*a + 5/13*a**2 - 8/65*a**5. Find l such that o(l) = 0.
-2, -1, 1
Let d = 377 - 375. Factor -107 + 128 - 3*y**d - 8*y**2 + y**3 + 2*y**2 + 10*y + y.
(y - 7)*(y - 3)*(y + 1)
Solve 0 + 458/7*i**2 - 456/7*i - 2/7*i**3 = 0.
0, 1, 228
Let n(w) be the first derivative of -10*w**3/21 - 1318*w**2/7 + 1056*w/7 - 2663. Let n(u) = 0. Calculate u.
-264, 2/5
Let f be (-758)/14*(-77 + 93). Let c = f + 872. Solve -6/7*t**4 + 2/7*t**5 + c*t**2 + 128/7 + 192/7*t - 32/7*t**3 = 0 for t.
-2, -1, 4
Let v(z) be the first derivative of 5/42*z**4 + 4/21*z - 9 + 1/3*z**2 + 2/7*z**3 + 2/105*z**5. Factor v(b).
2*(b + 1)**3*(b + 2)/21
Let q(v) = 6*v**2 - v - 3. Let y be q(-2). Factor -10 + 23 - 45*w**2 - 48 + y*w - 98*w - 5*w**3.
-5*(w + 1)**2*(w + 7)
Factor 3920*r**2 - 120*r**4 - 420*r**3 - 8720549 + 8720549 - 5*r**5.
-5*r**2*(r - 4)*(r + 14)**2
Let w = 7795 + -15519/2. Let z(b) be the first derivative of -25/3*b**6 - 3 + 52*b**2 + 8*b**5 + w*b**4 - 16*b - 220/3*b**3. Solve z(q) = 0 for q.
-2, 2/5, 1
Let g(i) be the second derivative of -3/4*i**4 - 4*i**2 - 11/3*i**3 - 59 + i. Find t, given that g(t) = 0.
-2, -4/9
Let q be (0 - 12/50)*(9520/(-42))/68. Factor -q*x - 16/5 + 2/5*x**2.
2*(x - 4)*(x + 2)/5
Let b(r) = -2*r**3 + 22*r**2 - 19*r - 30. Let m be b(10). Let t be -5 + (8/m)/((-16)/300). Let -t*u**4 - 5*u**3 + 0*u + 0*u**2 + 0 = 0. Calculate u.
-2, 0
Let w = 232402 + -232400. Factor 1/2*d**w + 0*d - 2.
(d - 2)*(d + 2)/2
What is d in -77035*d - 304 + 4*d**2 + 76891*d + 0*d**2 = 0?
-2, 38
Suppose -34 = -2*l - 14. Factor l*f**2 - 44*f**2 - 36*f**2 - 2*f.
-2*f*(35*f + 1)
Let r(x) be the third derivative of 12*x**3 - 4/105*x**7 + 142*x**2 + 29/4*x**4 + 1/6*x**6 + 0 - 1/168*x**8 + 0*x + 32/15*x**5. Determine l so that r(l) = 0.
-3, -1, 4
Let n be 37/(-1) - -26 - -17. Let y(o) be the first derivative of n*o**2 + 3 + 10/3*o**3 + 0*o + 1/2*o**4. Let y(m) = 0. Calculate m.
-3, -2, 0
Factor 46 + 5*o**3 + 92 - 35*o**2 + 2 - 20*o.
5*(o - 7)*(o - 2)*(o + 2)
Suppose 3*z + 0*z = 2*z. Suppose -11 + z = -4*f + 3*p, 0 = -2*f - 2*p + 16. Determine g so that -4*g**5 - 43*g - 3*g**3 + 2*g**2 + f*g**5 + 43*g = 0.
-2, 0, 1
Let w be 95*(6 + -5 + (-9)/15). Suppose 7*j + w - 52 = 0. What is o in 0*o + 0*o**j + 0 + 15/2*o**3 - 3/2*o**4 = 0?
0, 5
Let t(n) be the first derivative of -3*n**4/2 + 164*n**3/3 + 147*n**2 - 116*n - 1729. What is k in t(k) = 0?
-2, 1/3, 29
Let x(o) be the first derivative of 4*o**3/27 + 4*o**2 + 68*o/9 - 3049. Factor x(g).
4*(g + 1)*(g + 17)/9
Factor 3*l**3 - 27460*l + 27460*l - 525*l**2 + 2*l**3.
5*l**2*(l - 105)
Let b(p) be the second derivative of -55/27*p**3 - 94*p + 13/54*p**4 - 1/90*p**5 + 25/3*p**2 + 0. Factor b(r).
-2*(r - 5)**2*(r - 3)/9
Factor -147*h**2 - 134*h**3 + 2237*h**2 + 712121957 - 2392347*h + 133*h**3 + 17*h**2 + 572*h**2.
-(h - 893)**3
Let s = -848/3 - -301028/1065. Let z = 217/355 + s. Find f, given that 9/5 + 12/5*f + z*f**2 = 0.
-3, -1
Let r(b) = -b**3 + 7*b**2 + 877*b - 5295. Let q be r(6). Determine x so that 4*x**2 + 1 + 17/4*x + 3/4*x**q = 0.
-4, -1, -1/3
Let m(w) = 2*w**3 + 27*w**2 - 87*w - 107. Let i be m(-