+ 45*o/2 + 116. Factor f(q).
-3*(q - 15)*(q - 2)*(q - 1)/4
Suppose -2*d - 17 = 15. Let n be (-180)/(-21) + d/28. Suppose -18*a + 23*a**2 - n*a - a**2 + 4 = 0. What is a?
2/11, 1
Let q = -21931 + 21936. Let l(p) be the third derivative of -1/300*p**q + 0 + 0*p**3 + 0*p**4 - 10*p**2 + 0*p + 1/600*p**6. Suppose l(n) = 0. Calculate n.
0, 1
Let d(z) = -2*z**2 + 34*z - 32. Let i(k) = -k**2 + k**2 + k**2 + 8*k + 2 - 2*k**2 - 9*k. Let w(x) = d(x) - 6*i(x). Determine g, given that w(g) = 0.
-11, 1
Let m(v) be the first derivative of -v**4/4 - 100*v**3/3 - 1144*v**2 + 10816*v - 3702. Factor m(z).
-(z - 4)*(z + 52)**2
Let c = 248633/23832 - -31/2648. Determine o so that 2209/9 + 1/9*o**2 - c*o = 0.
47
Let o(n) be the first derivative of 25*n**4/12 + 35*n**3/6 + 5*n**2 - 17*n - 91. Let w(r) be the first derivative of o(r). Suppose w(k) = 0. What is k?
-1, -2/5
Let w(s) = 5*s**3 - 92*s**2 + 675*s. Let d(y) = -y**3 + y**2 - 1 + 3*y**2 - 3*y**2 + 1. Let l(h) = -2*d(h) - w(h). Suppose l(u) = 0. Calculate u.
0, 15
Suppose 24060 = -9*c + 24078. Solve 0*f - f**4 + 0 + 3/4*f**3 + 1/4*f**c = 0.
-1/4, 0, 1
Factor -2467*d - d**2 - 11937025 - 2786*d - 1657*d.
-(d + 3455)**2
Let s be (2/1)/2 - (-32 - 123). Suppose l - s = -3*l + f, 0 = -5*f. Suppose -l*n**3 - 10*n + 2 - 6*n**2 + 41*n**3 + 2*n**4 + 2 - 8 = 0. What is n?
-1, 2
Factor -609/5*z + 1/5*z**2 + 608/5.
(z - 608)*(z - 1)/5
Let k(m) be the second derivative of 2*m**6/15 - 21*m**5/5 - m**4/3 + 14*m**3 - 20*m - 76. Suppose k(y) = 0. What is y?
-1, 0, 1, 21
Let n = 1388 - 1384. Suppose -5*d = -2*u - 10, 0 = n*d + 3*u + 35 - 43. Factor -1/10*t**3 - 2/5*t**d + 0 - 2/5*t.
-t*(t + 2)**2/10
Suppose -6*q + 27 = -15*q. Let f be 3 + -4 + 4 + q/3. Factor -5*a + 2 + f*a**2 + 0*a + 9*a.
2*(a + 1)**2
Let h(l) be the third derivative of -l**6/480 - l**5/16 + l**4/6 + 877*l**2 + 2. Factor h(a).
-a*(a - 1)*(a + 16)/4
Let j = -31 - -677. Suppose -j + 318 + 220 - 3*i**2 - 45*i = 0. What is i?
-12, -3
Factor -140/3*d**2 + 5/6*d**4 - 480*d + 15/2*d**3 - 1280/3.
5*(d - 8)*(d + 1)*(d + 8)**2/6
Let m(q) be the third derivative of -q**6/180 + 359*q**5/90 - 7826*q**4/9 - 165620*q**3/9 - 3*q**2 + 27*q + 9. Factor m(t).
-2*(t - 182)**2*(t + 5)/3
Let r = -13881 + 13881. Let s(o) be the second derivative of r + 2/3*o**2 + 1/54*o**4 - 7/27*o**3 + 8*o. Factor s(u).
2*(u - 6)*(u - 1)/9
Let f be 5849/(-6) - 2/12. Let b = f - -978. Find h, given that -1/6*h**2 - 11/6*h + 1/3*h**b + 5/3 = 0.
-5/2, 1, 2
Factor -5440*g**2 + 136 + 5443*g**2 + 350 + 81*g.
3*(g + 9)*(g + 18)
Let o(f) be the second derivative of -f**4/12 + 79*f**3/9 + 36*f**2 - 736*f - 3. Factor o(q).
-(q - 54)*(3*q + 4)/3
Suppose 0 = 3*t - 8 + 2. Suppose -107*d - 7*d = -56*d - 522. Factor d*s + 1/2*s**t + 81/2.
(s + 9)**2/2
Let w(b) be the third derivative of -b**8/2016 + b**7/1890 + b**4 - 13*b**2 + 3*b. Let s(g) be the second derivative of w(g). Factor s(l).
-2*l**2*(5*l - 2)/3
Determine i, given that -240 - 3/5*i**2 + 24*i = 0.
20
Factor -20*w**2 - 75*w - 250/3 - 5/3*w**3.
-5*(w + 2)*(w + 5)**2/3
Solve 475 + 129 - 162*n + 5*n**2 - 2*n**2 - 292 = 0.
2, 52
Determine s, given that 0 + 171/5*s + 66/5*s**2 + 3/5*s**3 = 0.
-19, -3, 0
Let z(h) = h**2 - h - 20. Let o(r) = -14*r**2 - 6624*r + 1392. Let m(f) = o(f) - 4*z(f). Solve m(j) = 0.
-368, 2/9
Let l = -12772/5 - -2558. Let c(p) be the second derivative of 13*p + l*p**2 - 1/5*p**3 + 0 - 1/10*p**4. Determine a, given that c(a) = 0.
-3, 2
Let i(n) = -14*n + 11. Let k be i(4). Let s = k - -47. Determine z so that s*z**3 + z**3 + 3*z**3 - 2*z**3 - 2*z - 2*z**5 = 0.
-1, 0, 1
Let i(g) be the first derivative of -5*g**3/3 + 60*g**2 + 405*g - 2260. Factor i(k).
-5*(k - 27)*(k + 3)
Let p be (44/(-21))/((-156)/(-55926)). Let q = p + 752. Factor 6/7*d**2 + 0*d - q.
6*(d - 1)*(d + 1)/7
Let n(t) be the third derivative of 0*t - 3/5*t**3 - 1/8*t**4 + 7/100*t**5 - 3 - 1/350*t**7 + 12*t**2 + 1/40*t**6. Determine b so that n(b) = 0.
-1, 1, 6
Let i = -1764115 + 1764118. Find t such that -2*t**2 + 0 + 1/10*t**i + 19/10*t = 0.
0, 1, 19
Let r(u) be the third derivative of -u**6/240 + 7*u**5/120 - u**4/8 - u**2 - 50*u. Let r(k) = 0. What is k?
0, 1, 6
Let p(t) = -t**2 + 12*t + 9. Let f be p(12). Suppose 0 = 4*s - 14 - 18. Factor -2*l - f + l + 12 + 2*l**2 + s*l.
(l + 3)*(2*l + 1)
Suppose -417 = -a - 411. Let 8*s**4 - a*s**5 + s**5 - 349*s - 2*s**2 - s**3 + 349*s = 0. Calculate s.
-2/5, 0, 1
Let g(d) be the first derivative of -6*d**2 + 0*d - 2/5*d**5 - 49 + d**4 + 10/3*d**3. Factor g(v).
-2*v*(v - 3)*(v - 1)*(v + 2)
Factor 336*s + 1590*s**4 - 1587*s**4 + 775*s**2 + 177*s**3 + 486 + 56*s**2 + 807*s.
3*(s + 1)**2*(s + 3)*(s + 54)
Suppose -2/9*q**3 + 46/9*q**2 - 188/9*q + 16 = 0. Calculate q.
1, 4, 18
Let b = 12255 - 12251. Let f(a) be the first derivative of 0*a**2 - 2/5*a**5 - 3/2*a**b - 33 + 8/3*a**3 + 0*a. Solve f(g) = 0 for g.
-4, 0, 1
Let u(k) be the second derivative of 1/7*k**5 - 1/105*k**6 - 576/7*k**2 - 3*k + 23/42*k**4 - 80/7*k**3 + 31. Suppose u(i) = 0. Calculate i.
-3, 8
Suppose h - 35 = -33. Factor -12*m**3 + 11*m**3 + 4*m**h - 5*m**2 - m**4 - m**3.
-m**2*(m + 1)**2
Let o = 5101654/5 - 1020329. Factor 1/5*q**4 + 0*q + 0*q**2 - o*q**3 + 0.
q**3*(q - 9)/5
What is k in 149/2*k**2 - 19/2 - 245/4*k - 15/4*k**3 = 0?
-2/15, 1, 19
Let k = 1384220 + -9689538/7. Find o such that 0 - k*o**3 - 20/7*o**2 - 18/7*o = 0.
-9, -1, 0
Let w(v) = -v**3 - 4*v**2 - 24. Let s be w(-7). Suppose -131*j + 16 = -s*j. Determine p, given that 8/19*p - 10/19 + 2/19*p**j = 0.
-5, 1
Let c(z) be the second derivative of z**7/168 - z**6/120 - z**5/80 + z**4/48 + 317*z. Factor c(p).
p**2*(p - 1)**2*(p + 1)/4
Let u be ((-62)/(-465))/(36/135). Let w(z) be the first derivative of 27/2*z**2 - 2 - u*z**3 - 243/2*z. Solve w(j) = 0 for j.
9
Let b = 79908 - 239722/3. Factor b*w**4 + 4*w - 14/3*w**2 + 0 + 0*w**3.
2*w*(w - 2)*(w - 1)*(w + 3)/3
Let n(a) be the third derivative of a**5/15 + 1292*a**4/3 + 3338528*a**3/3 - 716*a**2. Factor n(c).
4*(c + 1292)**2
Suppose -16/7*a**3 + 16/7*a + 1/7*a**4 + 17/7 - 18/7*a**2 = 0. Calculate a.
-1, 1, 17
Let f = -68 + 68. Suppose -g - 4*g + 30 = f. Find y such that 11*y - 12*y**2 + 3*y**3 - g + 0*y**3 + 5*y - y = 0.
1, 2
Let k(r) be the second derivative of r**5/240 + 5*r**4/4 + 150*r**3 + 46*r**2 + 11*r + 3. Let u(l) be the first derivative of k(l). Factor u(q).
(q + 60)**2/4
Suppose 0 = 5*w + 3 + 7, 0 = -3*n - 5*w + 32. Solve 56 - 4*q**2 - 55*q + 0*q + 17*q + 0*q**2 - n*q = 0.
-14, 1
Let b be ((-2)/6 + 0)/((-12)/108). Suppose 7 - 36*g - b*g**2 + 30 - 11 + 10 + 48 = 0. What is g?
-14, 2
Suppose 4*g - 86 = 2*a, 18 = -2*g - 4*a + 46. Let k(c) be the first derivative of 2/3*c**3 - 3*c**2 - g*c - 26. Factor k(n).
2*(n - 5)*(n + 2)
Solve -142/3*h + 0 + 2/3*h**2 = 0 for h.
0, 71
Let w(b) be the first derivative of -b**3/3 - 5*b**2/2 + 36*b + 56. Let t be w(4). Factor 1/3*m**4 + m**2 - m**3 + t - 1/3*m.
m*(m - 1)**3/3
Let g = 6434/2149 + -42/307. Solve 12*j + 16/7 + g*j**2 = 0 for j.
-4, -1/5
Let b(t) = -t**5 - 24*t**4 + 34*t**3 + 10*t**2 - 45*t + 23. Let d(c) = -c**5 - 2*c**3 + 2*c**2 - c + 1. Let q(u) = -2*b(u) + 6*d(u). What is k in q(k) = 0?
-1, 1, 10
Let w be (-49 + 8555/174)*90. Determine c, given that -3/8*c**2 - w + 39/8*c = 0.
5, 8
Let x(s) be the third derivative of -s**6/540 + s**5/54 - s**4/54 - 8*s**3/27 - 2*s**2 + 857. Let x(d) = 0. What is d?
-1, 2, 4
Suppose 22 = -3*n + 94. Suppose 2*p + q = 0, 2*p + n = 6*p - 4*q. Let -2 - 10*t**p + 6*t + 2*t**3 + 0*t + 5*t**2 - t**2 = 0. What is t?
1
Let m = 175 - 175. Factor -262*q**2 - 6*q + 253*q**2 - 3*q**3 + m*q**3.
-3*q*(q + 1)*(q + 2)
Let d(r) be the second derivative of 11/75*r**6 + 69/200*r**5 + 1/15*r**4 + 2 + 1/10*r**2 - 1/4*r**3 - 48*r. Solve d(j) = 0 for j.
-1, 2/11, 1/4
Let m(p) = p**3 - 64*p**2 + 528*p + 651. Let l be m(54). Factor 50/9*j + 6*j**2 + 2/9*j**4 + 16/9 + 22/9*j**l.
2*(j + 1)**3*(j + 8)/9
Let s be ((-7590)/(-1140) - (-15)/(-95))/13. Factor 8*h + s*h**4 - 9/2*h**3 + 0 + 3*h**2.
h*(h - 8)*(h - 2)*(h + 1)/2
Let y be 7 - 7/(28/8) - 3. Factor -27*o - 3*o**y + 2*o**2 + 48*o.
-o*(o - 21)
Find d such that -1678/7*d**2 + 758/7*d**3 + 72/7 + 334/7*d**4 - 110/7*d**5 - 1920/7*d = 0.
-2, -1, 2/55, 3
Let 98/15 + 2/15*k**3 + 42/5*k + 2*k**2 = 0. Calculate k.
-7, -1
Let f be (1042 - 1035)*(-3)/(