*3 - 29*t**2 + 78*t - 8. Let k be q(26). Let z be 58/(-87) + k/(-3). Factor -5/6*i**z + 25/3*i - 125/6.
-5*(i - 5)**2/6
Let l = -1224 + 1905. Let c = l + -2721/4. Find b, given that -c*b**2 + b + 1 - 1/4*b**4 - b**3 = 0.
-2, -1, 1
Let f(c) = c**2 + 12*c + 3. Let b(m) = -3*m**2 - 26*m - 5. Let i = 388 + -379. Let d(k) = i*f(k) + 4*b(k). Solve d(u) = 0.
-1, 7/3
Let d(z) = -16*z**2 - 39*z - 12. Let x(j) = 61*j**2 + 155*j + 54. Let o(l) = 18*d(l) + 4*x(l). Determine t, given that o(t) = 0.
-41/22, 0
Suppose 2*a + 18 = 4*a + 2*q, -4*a = q - 30. Factor -11*n**2 + a*n + 10*n**3 - 4*n**3 - 25*n - 7*n**3.
-n*(n + 2)*(n + 9)
Let m(c) be the first derivative of c**5/140 - c**4/21 + c**3/42 + 3*c**2/7 - 10*c + 28. Let r(d) be the first derivative of m(d). Factor r(t).
(t - 3)*(t - 2)*(t + 1)/7
Let d(n) = 13*n**2 + 106*n - 17. Let c(s) = s**2 + 12. Let w(r) = 6*c(r) + d(r). Factor w(p).
(p + 5)*(19*p + 11)
Suppose 2*f + 14 = 14*u - 12*u, -3*f = 2*u + 1. Let q(l) = l**2 + l - 6. Let w be q(f). Factor 7/2*a**2 + 5/2*a**4 - a - 1/2*a**5 + w - 9/2*a**3.
-a*(a - 2)*(a - 1)**3/2
Let t = 7282/7 - 1040. Let p(l) be the second derivative of 7*l + 2/21*l**3 + 1/21*l**4 - t*l**2 - 1/35*l**5 + 0. Determine a so that p(a) = 0.
-1, 1
Let y(d) = 28*d**3 + 8*d**2 - 33*d - 8. Let w(x) = -27*x**3 - 10*x**2 + 33*x + 10. Let h(u) = 5*w(u) + 6*y(u). Factor h(t).
(t - 1)*(t + 1)*(33*t - 2)
Suppose 3*m = -2*t + 11, -3*t = 5*m - t - 21. Suppose -5*p = -2*j - 10, -10*p + j + m = -8*p. Factor 2/5*z**2 + 2/5*z**4 + 4/5*z**3 + 0*z + p.
2*z**2*(z + 1)**2/5
Let z(n) be the third derivative of -3/8*n**6 - 5/2*n**4 + 5/2*n**5 + 1/56*n**8 - 12*n**3 - 1/14*n**7 - 13*n**2 + 0*n - 4. Factor z(m).
3*(m - 2)**3*(m + 3)*(2*m + 1)
Solve -295/7*s**2 - 1/7*s**3 + 1/7*s + 295/7 = 0.
-295, -1, 1
Let q(o) be the first derivative of o**3/4 - 15*o**2/2 - 1575*o/4 + 490. Find r, given that q(r) = 0.
-15, 35
Let g(f) be the third derivative of -5/24*f**3 - 11/96*f**4 - 1/480*f**6 - 7/240*f**5 + 0*f + 2*f**2 + 21. Find r such that g(r) = 0.
-5, -1
Let d = -1081803 - -1081806. Solve 0 - 1/4*f**d - 5/2*f**2 - 9/4*f = 0.
-9, -1, 0
Let a(r) be the third derivative of -r**8/1176 - 17*r**7/735 - 5*r**6/28 - 103*r**5/210 - 11*r**4/21 + 197*r**2. What is m in a(m) = 0?
-11, -4, -1, 0
Let d = 84759/52 - -1362/13. Let a = 1736 - d. Factor 5*s + 5 + a*s**2.
5*(s + 2)**2/4
Let k be 318/265*475/342. Determine f, given that -k*f**2 + 4/3*f + 1/3*f**3 + 0 = 0.
0, 1, 4
Let n be (632/(-56) - -11)/(8/(-42)). Let p = -20/7 + 143/28. Determine b so that -n - 3/4*b**2 + p*b = 0.
1, 2
Let i(l) be the second derivative of l**7/399 + 8*l**6/285 - 21*l**5/95 + 34*l**4/57 - 47*l**3/57 + 12*l**2/19 - 1178*l. Suppose i(h) = 0. Calculate h.
-12, 1
Determine v so that 20952/5*v + 28227/5*v**2 + 3888/5 = 0.
-36/97
Let s(f) be the first derivative of -f**3 + 327*f**2 - 35643*f + 3468. Let s(b) = 0. Calculate b.
109
Let b be 2/(-10) + (576/(-10))/(-3). Let f = 22 - b. What is n in 2*n**3 - 19*n**4 + 240*n - 144 + 38*n**f + 15*n**4 - 148*n**2 = 0?
2, 3
Let f be (-6 - -2)*(0 - 4). Factor 32*v + 110*v - 386*v + 29 - f*v**3 - 256*v**2 - 89.
-4*(v + 15)*(2*v + 1)**2
Let d(w) be the second derivative of w**5/100 + 8*w**4/5 - 13*w**3/2 + 49*w**2/5 - 944*w. Factor d(c).
(c - 1)**2*(c + 98)/5
Let n(y) = 2*y**2 + y + 1. Let f(c) = 88*c + 100 - c**2 + 7*c + 8*c. Let o(k) = f(k) + 2*n(k). Factor o(b).
3*(b + 1)*(b + 34)
Let g(d) = d**3 + 37*d**2 + 80*d. Let z be g(-34). Let a be ((-17)/(z/(-33)))/(66/32). Factor a*p**4 + 2/11*p**5 + 0*p**3 + 0 - 4/11*p**2 - 2/11*p.
2*p*(p - 1)*(p + 1)**3/11
Let u(b) be the third derivative of -1/40*b**5 + 0 + 30*b**2 + 0*b + 0*b**4 - 13/2*b**3 - 1/120*b**6. Let y(r) be the first derivative of u(r). Solve y(n) = 0.
-1, 0
Let l = -8351 + 33409/4. Let o(a) be the second derivative of -l*a**2 - 1/3*a**3 + 0 + 1/24*a**4 - 17*a. Factor o(n).
(n - 5)*(n + 1)/2
Factor 18*k**2 - 47*k**2 + 68*k**2 + k**4 + 30*k**2 - 26*k**3.
k**2*(k - 23)*(k - 3)
Let n(l) be the first derivative of -l**8/13440 + l**7/960 - l**6/240 - 11*l**3/3 + 3*l - 6. Let o(t) be the third derivative of n(t). Factor o(z).
-z**2*(z - 4)*(z - 3)/8
Let b(s) be the first derivative of -3*s**4/4 - 617*s**3 - 3693*s**2/2 - 1845*s + 738. Factor b(x).
-3*(x + 1)**2*(x + 615)
Let p = 8014 + -8011. Let j(f) be the third derivative of 0*f - 5/48*f**4 + 1/120*f**5 + 1/2*f**p + 0 + 17*f**2. Suppose j(v) = 0. Calculate v.
2, 3
Let m(j) be the second derivative of -61/120*j**5 + 0 + 0*j**2 - 1/9*j**3 - 7/18*j**4 - 1/28*j**7 + 142*j - 7/30*j**6. Factor m(i).
-i*(i + 2)**2*(3*i + 1)**2/6
Let g(s) be the second derivative of -2*s**7/147 + 106*s**6/21 - 5618*s**5/7 + 1488770*s**4/21 - 78904810*s**3/21 + 836390986*s**2/7 + 14*s + 57. Factor g(a).
-4*(a - 53)**5/7
Let x(i) = i**3 - 14*i**2 - 18*i + 48. Let l = 278 - 263. Let a be x(l). Factor 1/5*m**a + 0*m + 0*m**2 + 0.
m**3/5
Find b such that -14023479888/7 - 21980376/7*b - 2/7*b**3 - 11484/7*b**2 = 0.
-1914
Let g(k) = k**2 + 27*k + 12. Let v(c) = c**2 + 26*c + 13. Let p(j) = 5*g(j) - 6*v(j). Let u be p(-20). Suppose -12*f - 9 + 2*f**u + f**2 - 6 = 0. What is f?
-1, 5
Let i(s) be the second derivative of 5*s**5/24 - 165*s**4 + 117215*s**3/3 + 283220*s**2/3 - 129*s. Factor i(f).
5*(f - 238)**2*(5*f + 4)/6
Let x(g) be the second derivative of 128/33*g**4 + 0*g**3 + 16/55*g**5 + 0 + 1/165*g**6 + 19*g + 0*g**2. Determine z so that x(z) = 0.
-16, 0
Let c(d) be the third derivative of d**5/120 + 7*d**4/48 + d**3 + 22*d**2 + 26. Find t such that c(t) = 0.
-4, -3
Let n be (-4)/(13 + -20 + 5). Let s(d) be the second derivative of -14*d + 1/84*d**4 + 0*d**n - 1/42*d**3 + 0. Find q such that s(q) = 0.
0, 1
Let c(l) be the third derivative of l**8/448 + 3*l**7/40 - 13*l**6/120 + 2*l**4/3 + 45*l**2. Let s(o) be the second derivative of c(o). Factor s(n).
3*n*(n + 13)*(5*n - 2)
Let k = -6816 + 327169/48. Let f(g) be the third derivative of 0*g**6 + 1/168*g**7 + 0*g**3 - k*g**5 + 0 + 0*g**4 + 0*g - 16*g**2. Suppose f(r) = 0. What is r?
-1, 0, 1
Let t be (-1)/3*36/24*-26. Find b, given that -33*b**3 + 11*b**3 + 13*b**3 + 8*b**2 + t*b**3 = 0.
-2, 0
Let h(m) be the second derivative of -m**4/6 + 1360*m**3/3 - 462400*m**2 + 82*m + 2. Let h(x) = 0. What is x?
680
Let s be -7 - (5 + -14 + -3). Let g(x) be the second derivative of 1/4*x**3 + 1/4*x**2 + 1/15*x**6 - 5/24*x**4 - 3/40*x**s + 0 - 12*x. Factor g(t).
(t - 1)**2*(t + 1)*(4*t + 1)/2
Factor 10 + 18 + 15 - 40 + 13 + 7328*h + 10956*h**2.
4*(3*h + 2)*(913*h + 2)
Let p(b) be the third derivative of -1/48*b**4 - 1/240*b**5 + 32*b**2 + 1/840*b**7 + b - 1/1344*b**8 + 0*b**3 + 1/160*b**6 + 0. What is g in p(g) = 0?
-1, 0, 1, 2
Let r(z) = 32*z**3 + 75*z**2 - 960*z + 2285. Let k(f) = -5*f**3 - 13*f**2 + 160*f - 381. Let j(c) = -38*k(c) - 6*r(c). Let j(v) = 0. Calculate v.
6, 8
Let j(w) = -w**2 - 5*w + 10. Let p be j(-6). Let s be ((-216)/81)/(p/(-18)). Factor -10*n**4 + s*n**3 - 3*n**3 + 3*n**4 + 4*n**4.
-3*n**3*(n - 3)
Find s, given that 2/15*s**4 + 93092/15*s + 44/3*s**3 + 2664/5*s**2 - 101306/15 = 0.
-37, 1
Let k be 3 - (-1 - (-3 + 14)). Let r(v) = -v**2 - 7*v + 105. Let o be r(-14). What is x in 16 - o + 3*x**3 - k*x**2 + 18 + 9*x + 0 = 0?
-1, 3
Let b(u) = -295*u**2 - 6493*u - 66. Let i be b(-22). Solve i + 0*k + 36/7*k**2 - 3/7*k**3 = 0 for k.
0, 12
Let l(k) be the first derivative of -k**4/6 + 60*k**3 - 6075*k**2 + 7448. Solve l(w) = 0 for w.
0, 135
Let u(s) = 515*s - 5144. Let o be u(10). Let b(c) be the third derivative of 0 + 1/11*c**4 + 1/660*c**o + 1/55*c**5 + 0*c + 8/33*c**3 + 24*c**2. Factor b(q).
2*(q + 2)**3/11
Let a(h) be the second derivative of -h**5/120 + 35*h**4/72 - 52*h**3/9 + 28*h**2 + 2*h + 2283. Let a(c) = 0. What is c?
3, 4, 28
Solve 0 + 0*f - 561001/6*f**2 - 1/6*f**4 - 749/3*f**3 = 0 for f.
-749, 0
Solve -406005/4*g**3 - 705*g**4 - 1173195*g - 5/4*g**5 - 1184375/2*g**2 - 778410 = 0 for g.
-279, -2
Let f(z) = -16*z**2 - 33*z + 3. Let r(b) = -1 - 24*b - 11*b - 2 + 3*b - 16*b**2 + 7. Suppose l - 3 = 2. Let c(u) = l*r(u) - 4*f(u). Factor c(w).
-4*(w + 2)*(4*w - 1)
Let g(p) be the third derivative of -p**5/300 + 11*p**4/40 - 36*p**3/5 + 838*p**2. Find u such that g(u) = 0.
9, 24
Let u(p) be the second derivative of 486*p**2 + 0 + 6*p**3 + 156*p + 1/36*p**4. Factor u(x).
(x