/2*y**2 + 7*y - 1/60*y**5 + 2/3*y**3 + 0 + 1/8*y**4. Let o(c) be the first derivative of h(c). Find i such that o(i) = 0.
-1, 4
Let g(l) be the second derivative of 82/3*l**3 - 15*l + 52*l**2 + l**4 + 1. Suppose g(k) = 0. What is k?
-13, -2/3
Let y be 4390/3951*(-54)/(-10). Find p such that -y + 9/2*p - 3/4*p**2 = 0.
2, 4
Let l be (-2)/((-32)/24) - 9/(-2). Let o be 6/(-90) - l/(-15). Factor -o*g + 0 - 1/3*g**2.
-g*(g + 1)/3
Let l(g) be the third derivative of -g**7/15 - 29*g**6/30 + 481*g**5/30 + 172*g**4/3 + 52*g**3 - 39*g**2 + 15*g. Let l(i) = 0. What is i?
-13, -1, -2/7, 6
Let o be (-70)/10 + 11 - 8422/2104. Let x = o - -529/1052. Determine t, given that x - 7/4*t - t**2 = 0.
-2, 1/4
Let r = -29281/30 - -4881/5. Factor 0 + 7/6*i**3 - r*i**4 - 2/3*i**2 - 2*i.
-i*(i - 6)*(i - 2)*(i + 1)/6
Suppose -97*w = -26*w - 933 - 771. Let y(b) be the first derivative of 16*b - 22 + 9*b**4 + w*b**2 - 100/3*b**3. Let y(g) = 0. What is g?
-2/9, 1, 2
Solve -26/5*o - 4/5*o**4 - 43/5*o**3 + 0 + 23*o**2 = 0.
-13, 0, 1/4, 2
Factor -4*q**2 - 1058*q + 4*q**3 + 501*q + 556*q + 6 - 5*q**3.
-(q - 1)*(q + 2)*(q + 3)
Suppose 4*w - 4*f - 68 = 0, 0*f = -3*w - 5*f + 51. Factor -12*z**2 + w*z**2 - 2*z - 12*z + 3*z + z.
5*z*(z - 2)
Let s be (-660)/(-2898) + 11 - 11. Let l = 4/69 + s. Factor 16/7*f**2 + 20/7 + 38/7*f - l*f**3.
-2*(f - 10)*(f + 1)**2/7
Let z(m) be the first derivative of m**3/3 - 146*m**2 + 1152*m + 10597. Factor z(n).
(n - 288)*(n - 4)
Let s(k) be the third derivative of 2*k**7/315 + 2*k**6 + 178*k**5/15 + 266*k**4/9 + 118*k**3/3 - 29*k**2 + 4*k. Determine r, given that s(r) = 0.
-177, -1
Let x(r) = -r**2 + 5*r + 1. Let g(o) = 5*o**2 + 4593*o - 2677305. Let p(i) = -g(i) - 7*x(i). What is q in p(q) = 0?
1157
Let d(f) = -76 + 35 - f + 2*f + 21. Let g be d(23). Factor 0*q - 2/15*q**g - 2/15*q**2 + 0.
-2*q**2*(q + 1)/15
Let f be 64/(-512)*-2*9. Let b = f + 1/4. Factor -1/2*i**3 + b*i**2 - 3/2*i - 9/2.
-(i - 3)**2*(i + 1)/2
Let z be (10/36)/(70/42) + 7/42. Let v(y) be the third derivative of -1/90*y**5 - z*y**3 + 0 - 3*y**2 - 1/9*y**4 + 0*y. Factor v(d).
-2*(d + 1)*(d + 3)/3
Suppose -87*w**2 + 9*w**5 - 2*w**3 + 99*w**2 + 3*w**5 + 4 - 21*w**4 + 5 - 52*w**3 + 42*w = 0. Calculate w.
-1, -1/4, 1, 3
Let f be ((-784)/120 + 260/195)/(-3). Suppose f*k**2 + 2/5*k - 6/5*k**3 - 22/15*k**4 - 4/15 + 4/5*k**5 = 0. What is k?
-1, -1/2, 1/3, 1, 2
Factor 71/3 - 73/6*o + 1/6*o**3 - 35/3*o**2.
(o - 71)*(o - 1)*(o + 2)/6
Let n(c) = 2*c**2 - c - 12. Let j(k) = 6*k**3 - 87*k**2 - 366*k - 135. Let u(h) = j(h) - 2*n(h). Let u(q) = 0. Calculate q.
-3, -1/3, 37/2
Let v(i) be the first derivative of -i**4/6 - 22*i**3/3 + 135*i**2 - 2150*i/3 + 1412. What is m in v(m) = 0?
-43, 5
Suppose 2*r - 4*r + 122 = 0. Let y = r + -58. Factor 4*h**2 - 4*h**3 - h**2 - 3*h**y + 4*h**3.
-3*h**2*(h - 1)
Let m(g) be the second derivative of -g**6/50 - 27*g**5/25 + 3*g**4/20 + 11*g**3 + 108*g**2/5 + 2199*g. Determine j so that m(j) = 0.
-36, -1, 2
Let g(q) be the first derivative of 1/14*q**4 + 9 + 4/35*q**5 + 0*q - 1/21*q**6 + 0*q**2 - 4/21*q**3. Suppose g(b) = 0. What is b?
-1, 0, 1, 2
Suppose 23*d - 28*d = -5*f + 105, 0 = -f - 5*d + 33. Suppose -16 + 25*l**2 - 34 + 2*l**3 + 25*l**2 + 21*l - f*l = 0. What is l?
-25, -1, 1
Let s(z) be the third derivative of z**6/300 + 3*z**5/5 - z**4/60 - 6*z**3 - 1374*z**2. Factor s(h).
2*(h - 1)*(h + 1)*(h + 90)/5
Suppose 752 = 5*g - 1138. Let j = g + -378. Factor j + 0*w**2 - 1/6*w**3 + 1/6*w.
-w*(w - 1)*(w + 1)/6
Let c(o) be the third derivative of -o**7/840 + o**6/48 - 3*o**5/20 + o**4/8 + o**3/6 + o**2 + 2. Let b(h) be the second derivative of c(h). Factor b(i).
-3*(i - 3)*(i - 2)
Suppose -s = -2*x + 1, 2*x = 2*s + 3*x - 8. Find i such that -44*i - 4*i**s + 3*i**3 + 3*i**2 + 42*i = 0.
0, 1, 2
Let k be (5 - 29559/(-33)) + -7. Let p = k + -893. Factor -6/11*m - p*m**2 + 2/11.
-2*(m + 1)*(4*m - 1)/11
Let j(q) be the first derivative of 4*q**5/5 - 7*q**4 - 32*q**3/3 + 918. Factor j(a).
4*a**2*(a - 8)*(a + 1)
Let g(a) be the first derivative of -a**7/2240 - a**6/120 + 9*a**5/320 - 3*a**3 - 7*a**2/2 - 231. Let x(t) be the third derivative of g(t). Factor x(m).
-3*m*(m - 1)*(m + 9)/8
Suppose 120 = -10*c - 82*c + 396. Let g(s) be the first derivative of 0*s + 20 + 1/12*s**2 + 1/18*s**c. Let g(z) = 0. What is z?
-1, 0
Let m(w) be the first derivative of -5*w**3/3 - 175*w**2 + 720*w + 914. Suppose m(u) = 0. Calculate u.
-72, 2
Suppose 0 = -16*c - 6*c + 3784. Factor c*w**3 + 169*w**3 - 18 + 21*w - 344*w**3.
-3*(w - 2)*(w - 1)*(w + 3)
Let b(d) be the third derivative of d**5/270 + 601*d**4/108 + 200*d**3/9 - 1963*d**2. Suppose b(w) = 0. What is w?
-600, -1
Let a = 904 + 1543. Let o = -1490 + a. Determine j so that -o*j - 2*j**2 + 0 - 2 + 953*j = 0.
-1
Let q(u) be the third derivative of -u**6/420 + 10*u**5/21 - 64*u**4/3 - 1792*u**3 + 2805*u**2. Find p such that q(p) = 0.
-12, 56
Let w(u) be the second derivative of u**6/120 + 11*u**5/80 + 7*u**4/24 - 11*u**3/6 - 9*u**2 + 1073*u + 1. Factor w(y).
(y - 2)*(y + 2)**2*(y + 9)/4
Let y = 147 + -421/3. Let c(m) = 237*m - 12795. Let u be c(54). Factor -4*w**2 + 4/3*w**u - y*w - 8/3 + 4/3*w**4.
4*(w - 2)*(w + 1)**3/3
Suppose 104 = 122*a - 384. Let x(c) be the third derivative of 5/6*c**3 + 5/16*c**a + 0*c + 0 + 1/24*c**5 - 4*c**2. Factor x(y).
5*(y + 1)*(y + 2)/2
Let b(t) be the second derivative of 160*t**2 + 208/3*t**3 + 7*t**4 + 281*t - 9/5*t**5 + 0. Determine j so that b(j) = 0.
-4/3, 5
Let z(r) be the first derivative of -r**8/1680 + r**7/840 + r**6/180 - 6*r**3 + 15. Let o(w) be the third derivative of z(w). Determine s, given that o(s) = 0.
-1, 0, 2
Let a = 953 - 1757. Let j = a - -5630/7. Suppose 4/7*n**2 - 4/7 + j*n - 2/7*n**3 = 0. Calculate n.
-1, 1, 2
Let z be (-8 - 3) + 6 + 462/3. Suppose -5*o - z + 169 = 0. Find i, given that 2/7*i**3 - 4/7*i**o + 0*i + 2/7*i**5 + 0*i**2 + 0 = 0.
0, 1
Let l be (-32)/(-2) - (749736/594)/89. Solve 0*p + 0 + 6/11*p**3 + l*p**2 - 2/11*p**4 = 0 for p.
-2, 0, 5
Let k(n) = 36*n + 9. Suppose -5*u + 26 = -4. Let f be k(u). Suppose 5*g**2 + 5*g**3 + 225 - f = 0. Calculate g.
-1, 0
Let h(u) = -10*u**3 + 68*u**2 - 14*u. Let f(g) = 19*g**3 + 14*g**2 - 41*g**3 + 20*g**3 - 3*g. Let d(j) = 28*f(j) - 6*h(j). Factor d(l).
4*l**2*(l - 4)
Let x(b) be the first derivative of 3/4*b**4 + 0*b**2 - 3/5*b**5 + 0*b + 2*b**3 + 59. Let x(j) = 0. Calculate j.
-1, 0, 2
Solve 0 + 1444/3*c**3 + 1/3*c**5 + 0*c**2 + 0*c + 76/3*c**4 = 0 for c.
-38, 0
Let i(u) = 240240*u**2 + 12380*u + 170. Let p(c) = 360359*c**2 + 18568*c + 256. Let j(x) = -8*i(x) + 5*p(x). Factor j(z).
-5*(155*z + 4)**2
Let u = 184374 + -184374. Factor 2*r - 1/6*r**2 + u.
-r*(r - 12)/6
Let c be 1 - (-1)/((7/(-3))/(-7)). Solve 898*x**c - 358 - 705*x**2 - 142 - 110*x**3 - 903*x**4 - 1100*x = 0.
-10, -1
Let b(i) be the third derivative of i**8/5880 - i**7/2940 - i**6/1260 + i**5/420 - 37*i**3/3 + i**2. Let q(f) be the first derivative of b(f). Factor q(r).
2*r*(r - 1)**2*(r + 1)/7
Let s(v) = -11*v**3 - 10*v**2 + 2*v - 2. Suppose 57 = -3*p + 60. Let i(x) = 2*x**3 + 2*x**2 - x - 1. Let n(m) = p*s(m) + 6*i(m). Factor n(g).
(g - 2)*(g + 2)**2
Find i, given that 89 - 16*i**4 - 25*i**4 - 105*i**2 - 40*i + 11 + 46*i**4 + i**3 + 39*i**3 = 0.
-10, -1, 1, 2
Let p be 1650/((-6)/(-3) - (-16 - -16)). Let m = 827 - p. Factor 0*v**m + 0 + 0*v**4 + 0*v + 2/7*v**3 - 2/7*v**5.
-2*v**3*(v - 1)*(v + 1)/7
Factor 2/3*k**2 - 742/3*k - 248.
2*(k - 372)*(k + 1)/3
Let n(z) be the first derivative of -z**6/720 - z**5/120 + z**4/6 - 73*z**3/3 - 55. Let g(t) be the third derivative of n(t). Factor g(v).
-(v - 2)*(v + 4)/2
Solve 27/4*l - 3/2*l**2 - 9 + 1/12*l**3 = 0 for l.
3, 12
Let c(t) = -t**3 - 7*t**2 - 12*t - 4. Let y be c(-5). Let x(w) be the second derivative of 0 + 27/2*w**2 + 1/4*w**4 - y*w + 3*w**3. Factor x(j).
3*(j + 3)**2
Let l = -373829 + 373831. Factor -1/2*v**3 - 7/2*v**l - 5*v + 0.
-v*(v + 2)*(v + 5)/2
Let n(g) be the first derivative of g**3/21 - g**2/2 - 44*g/7 + 2814. Factor n(z).
(z - 11)*(z + 4)/7
Let r(a) be the first derivative of 2*a**5 - 15/4*a**4 + 5/6*a**6 - 20/3*a**3 + 0*a + 15 + 10*a**2. Factor r(q).
5*q*(q - 1)**2*(q + 2)**2
Let t(o) = -o**3 - 20*o**2 + 57*o + 272. Let r be t(-22). Let w be 5 + (-2)/r*(-561)/17. Solve 20/7 - w*i**2 - 18/7*i = 0 for i.
-10,