rmine t, given that 64*t - 204 + 885*t**j - 889*t**2 - 52 = 0.
8
Let p(i) = 38*i**3 - 311*i**2 + 607*i - 298. Let c(b) = 9*b**3 - 78*b**2 + 151*b - 74. Let r(a) = -9*c(a) + 2*p(a). Factor r(v).
-5*(v - 14)*(v - 1)**2
Suppose 5*b + 8*j - 7*j = 6, 3*b + 4*j = -10. Factor 3*x - 4*x**b - 17*x - x**2 + 4*x**2.
-x*(x + 14)
Let j(y) = 61. Let z(t) = -2*t + 61. Let v(q) = -6*j(q) + 5*z(q). Let i be v(-7). Suppose -i*a**4 - 3/2 - 69/2*a**2 - 129/4*a**3 - 51/4*a = 0. What is a?
-2, -1, -1/3, -1/4
Factor 713/5*o**2 + 1427/5*o + 2/5.
(o + 2)*(713*o + 1)/5
Suppose -41*j - 718 + 267 = 0. Let u be (-34)/204 - j/18. Factor 0 + u*w - 2/9*w**2.
-2*w*(w - 2)/9
Let 0*q - 207/2*q**4 + 405/4*q**3 - 21/2*q**2 + 51/4*q**5 + 0 = 0. What is q?
0, 2/17, 1, 7
Suppose -3*d = 3*r - 3, 28573*d - 10 = -4*r + 28575*d. What is j in -43/2*j + 22 - 1/2*j**r = 0?
-44, 1
Let w(q) be the third derivative of -2*q**7/105 - 3*q**6/10 + 292*q**5/15 + 664*q**4 + 7296*q**3 - 1414*q**2. Find c, given that w(c) = 0.
-12, -4, 19
Let b = 68269/40875 - 48/13625. Let w be -1*(0 + 5/(-3)). Factor b*a**5 + 10/3*a**2 - w*a + 0 - 10/3*a**4 + 0*a**3.
5*a*(a - 1)**3*(a + 1)/3
Suppose 0 = -15*i + 2*i + 4823. Let b = i - 367. Determine n so that -n**2 - 1/2*n**3 + 0 + n**b + 1/2*n**5 + 0*n = 0.
-2, -1, 0, 1
Let z(s) = -3*s**4 - 18*s**3 - 69*s**2 + 72*s + 126. Let d(b) = -4*b**4 - 37*b**3 - 139*b**2 + 145*b + 251. Let x(y) = -6*d(y) + 11*z(y). Solve x(c) = 0.
-2, -1, 5/3, 4
Let f = -36 + 40. Suppose -4 = 4*o - 2*o + f*s, 2*o + 5*s = -6. Determine h so that -2*h - 4*h**2 + 2*h - o*h - 2*h = 0.
-1, 0
Suppose 0 = -36*n + 40*n - 56. Let i be (8/(-14))/(n/(-49)). Factor 8/7*k**3 - 2/7 + 6/7*k**i - 4/7*k - 8/7*k**4.
-2*(k - 1)**2*(2*k + 1)**2/7
Solve -4*p**3 + 59*p - 10*p + 118*p**2 + 52*p - 76 + 89*p - 48 = 0 for p.
-2, 1/2, 31
Let y be 12/(-324)*42*((-174)/(-14) + -13). Factor y + 7/9*f**2 + 14/9*f + 1/9*f**3.
(f + 1)*(f + 2)*(f + 4)/9
Let x(i) = -27*i**3 - 18*i**2 + 69*i + 102. Let w(y) = -23*y**3 - 17*y**2 + 70*y + 99. Let o(j) = 6*w(j) - 5*x(j). Factor o(b).
-3*(b - 4)*(b + 1)*(b + 7)
Let b be (-2)/27 + 23520/19845. Factor -b*t**2 - 32/9 - 44/9*t + 2/9*t**3.
2*(t - 8)*(t + 1)*(t + 2)/9
Let v = 4679 + -4679. Let y(j) be the second derivative of -1/3*j**3 - 9*j + 2/3*j**2 - 1/2*j**5 + v - 4/45*j**6 - 8/9*j**4. Solve y(s) = 0.
-2, -1, 1/4
Let l be 8 + 0 + (-4)/(-2). Suppose -5*w = -10*w + l. Determine u so that w*u**3 - 5*u + u - 4*u**3 + 8*u**2 - 2*u**3 = 0.
0, 1
Let o = 6439 - 6436. Let y(q) be the second derivative of -18*q + 0 - 1/50*q**5 + 0*q**o + 0*q**2 + 1/150*q**6 + 1/70*q**7 + 0*q**4. Factor y(t).
t**3*(t + 1)*(3*t - 2)/5
Let y(p) be the third derivative of p**7/315 - p**6/18 - 7*p**5/90 + 49*p**4/9 + 1367*p**2. Factor y(a).
2*a*(a - 7)**2*(a + 4)/3
Let v be (2 + 9 - 10)*(-375)/(-100). Let j(y) be the first derivative of 3/2*y + 33 - 21/20*y**5 - 57/16*y**4 - v*y**3 - 3/8*y**2. Factor j(s).
-3*(s + 1)**3*(7*s - 2)/4
Let s(p) be the first derivative of -5*p**3/3 + 515*p**2 - 4732. Factor s(d).
-5*d*(d - 206)
Let 2*v + 32*v**2 + 2*v**5 - 1608 - 16*v**4 + 75*v**3 - 79*v**3 + 1592 = 0. What is v?
-1, 1, 8
Let i(k) = 19*k**5 - k**4 + 95*k**3 - 163*k**2 + 90*k. Let q(b) = 2*b**5 + 2*b**3 - 2*b**2 + 2*b. Let p(f) = 3*i(f) - 30*q(f). Let p(r) = 0. Calculate r.
-10, 0, 1, 7
Let k(r) be the second derivative of r**7/315 - r**5/90 - 5*r**2 + 50*r. Let d(w) be the first derivative of k(w). Factor d(u).
2*u**2*(u - 1)*(u + 1)/3
Let j(n) be the third derivative of 0*n**4 + 1/210*n**7 + 0*n + 0*n**3 + 0 - 58*n**2 - 1/60*n**6 + 1/168*n**8 - 1/60*n**5. Factor j(b).
b**2*(b - 1)*(b + 1)*(2*b + 1)
Let p(n) be the first derivative of -11/2*n**2 - 1/6*n**3 - 96 - 21/2*n. Suppose p(w) = 0. Calculate w.
-21, -1
Suppose 5*c = k - 382, k + 5*c = 4*k - 1156. Factor k*x - x**4 - 15*x**2 + 379*x - 766*x - 8*x**3.
-x**2*(x + 3)*(x + 5)
Let q(z) be the third derivative of -z**9/15120 - z**8/5040 - 101*z**5/60 - 26*z**2 - z. Let r(k) be the third derivative of q(k). Factor r(f).
-4*f**2*(f + 1)
Let o(u) be the first derivative of u**7/4620 - 7*u**6/1980 + u**5/165 + u**4/11 + 52*u**3/3 - 80. Let z(b) be the third derivative of o(b). Factor z(k).
2*(k - 6)*(k - 2)*(k + 1)/11
Let g(z) be the second derivative of -2*z**6/75 - 21*z**5/25 + 3*z**4 - 46*z**3/15 + 1497*z - 2. Factor g(a).
-4*a*(a - 1)**2*(a + 23)/5
Let p(s) be the third derivative of s**5/15 - 11*s**4/2 - 252*s**3 + 1896*s**2. Factor p(f).
4*(f - 42)*(f + 9)
Let o(i) = -2*i**5 + 14*i**4 - 14*i**3 - 193*i**2 - 69*i + 264. Let v(u) = u**5 - u**3 - u**2 + u. Let m(q) = 3*o(q) + 3*v(q). Solve m(c) = 0.
-2, 1, 6, 11
Find l, given that 14*l**3 + 697*l**2 - 97*l**2 + 1366*l**5 + 262*l**3 + 134*l**3 + 85*l**4 - 1361*l**5 = 0.
-10, -4, -3, 0
Find r such that 807 + 453 + 648*r + 54*r**2 - 26*r**2 = 0.
-21, -15/7
Suppose -4*l - 2*c - 3848 = -5*l, -5*c = -4*l + 15395. Solve 306*w**2 - 620*w**2 + 309*w**2 - l - 10195 - 530*w = 0 for w.
-53
Let a(v) = -v**3 + 13*v**2 + 2*v - 17. Let j be a(13). Factor -7 + 6*c**4 + 3 + 37*c**3 - 45*c**3 - c**5 + 3*c**2 - 5*c**2 + j*c.
-(c - 4)*(c - 1)**3*(c + 1)
Let b(q) be the second derivative of q**6/255 + 96*q**5/17 + 116156*q**4/51 + 305920*q**3/17 + 913936*q**2/17 - 2*q - 2567. Factor b(w).
2*(w + 2)**2*(w + 478)**2/17
Let a(g) be the third derivative of g**8/8400 + 11*g**7/1575 + 7*g**6/225 + 4*g**5/15 + g**2 + 8*g. Let v(p) be the third derivative of a(p). Factor v(y).
4*(y + 14)*(3*y + 2)/5
Let a(g) be the third derivative of -g**6/120 - 217*g**5/30 - 1980*g**4 - 15552*g**3 + 866*g**2. Let a(t) = 0. Calculate t.
-216, -2
Let s(c) = -2*c**3 - 14*c**2 - c. Let w(o) = -9*o**3 - 45*o**2 - 40*o + 36. Let x(d) = 4*s(d) - w(d). Factor x(f).
(f - 6)*(f - 3)*(f - 2)
Let c = -3328 + 1008383/303. Let q = c + 3641/1515. Factor 3/5 + 12/5*o + q*o**2.
3*(2*o + 1)**2/5
Factor -3/4*p**4 - 21*p**2 - 18*p + 0 - 15/2*p**3.
-3*p*(p + 2)**2*(p + 6)/4
Find p such that 3*p**5 - 39*p**3 + 108*p + 3460*p**4 - 6917*p**4 - 81*p**2 + 3466*p**4 = 0.
-4, -3, 0, 1, 3
Let r(w) be the first derivative of -w**4/8 + 2*w**3/3 + w**2 - 8*w - 1447. Factor r(u).
-(u - 4)*(u - 2)*(u + 2)/2
Let w(b) be the second derivative of b**4/3 + 32*b**3/3 - 22*b**2 - 2*b + 58. Let d(g) = -2*g**2 - 42*g + 29. Let h(q) = 8*d(q) + 5*w(q). Factor h(p).
4*(p - 3)*(p - 1)
Let q be 1742/(-21) + 216/756. Let o = q + 84. Suppose -4/3*p**3 + 4 + o*p**2 + 20/3*p = 0. Calculate p.
-1, 3
Let f(i) = 5*i + 103. Let z be f(-20). Factor 18 - 150*s + 9*s**4 + 102*s**2 - 72*s**z - 3*s**5 + 81*s + 15*s**4.
-3*(s - 3)*(s - 2)*(s - 1)**3
Let g(n) be the second derivative of -2/3*n**3 - 16*n + 1/21*n**7 - 3/10*n**5 + 0*n**2 - 1/15*n**6 + 0 + 5/6*n**4. Factor g(f).
2*f*(f - 1)**3*(f + 2)
Suppose 0 = 2*b + 12 - 76. Suppose 17*k - 56 = 3*k. Factor b*d**3 + 2*d + k*d**2 - 12*d**2 + 7*d**2 - 15*d**2.
2*d*(4*d - 1)**2
Let h(n) = 15*n**2 - 990*n + 959. Let j(z) = -10*z**2 + 660*z - 640. Let a(q) = 5*h(q) + 8*j(q). Find k, given that a(k) = 0.
1, 65
Let a = -23 - -26. Suppose -a = 4*g - 11. Let 15*m**g + 3*m**3 + 2869*m - 7 - 2845*m + 19 = 0. Calculate m.
-2, -1
Factor -568*i**2 + 351*i - 101*i**3 + 761*i**3 - 3*i**4 + 111*i - 743*i**2 + 192*i.
-3*i*(i - 218)*(i - 1)**2
Let h(i) be the second derivative of 0 + 0*i**3 + 13/10*i**4 - 3/100*i**5 + 87*i + 0*i**2. Let h(y) = 0. Calculate y.
0, 26
Let l(j) be the second derivative of -j**5/10 + 27*j**4/2 - 80*j**3/3 - j - 5546. What is v in l(v) = 0?
0, 1, 80
Solve -20*q**2 + 14177*q**4 - 140*q - 16*q**5 + 21*q**5 + 105*q**3 - 14127*q**4 = 0 for q.
-7, -2, 0, 1
Let j(f) be the third derivative of f**6/240 - 7*f**5/120 - 11*f**4/6 - 35*f**3/3 - 4266*f**2. What is p in j(p) = 0?
-5, -2, 14
Suppose -9*l + 4*v + 296 = -5*l, 3*l - 210 = -3*v. Let j = l + -70. What is k in -2/5*k**j + 0 - 22/5*k**4 - 6/5*k**5 - 22/5*k**3 + 4/5*k = 0?
-2, -1, 0, 1/3
Let g(m) = m**3 + 5*m**2 - 11*m - 3. Let d be g(2). Let 60 - c**d + 95*c**2 + 122*c - 5*c**4 + c**3 + 5*c**3 + 5*c**3 + 18*c = 0. What is c?
-2, -1, 6
Let j(o) be the first derivative of o**6/18 + 194*o**5/15 + 9601*o**4/12 + 6208*o**3/3 + 1536*o**2 + 7044. Factor j(s).
s*(s + 1)**2*(s + 96)**2/3
Let f(n) be the third derivative of 24*n + 3/2*n**3 - 1/16*n**4 + 2*n**2 + 0 - 1/40*n**5. Factor f(x).
-3*(x - 2)*(x + 3)/2
Let v(z) be t