first derivative of -u*j**3 + 2 + 12/7*j + 1/7*j**2. Factor r(s).
-2*(s - 3)*(s + 2)/7
Let s(x) = -x**2 + 37*x + 42. Let r be s(38). Find n such that 36*n**3 - 12*n**2 + 23915*n**r + 12*n**3 - 23936*n**4 = 0.
0, 2/7, 2
Let q(j) be the second derivative of j**6/30 - 9*j**5/20 - 5*j**4/6 + 10*j + 20. Factor q(a).
a**2*(a - 10)*(a + 1)
Solve 21/5*k**3 + 3636*k + 2160 - 1248/5*k**2 = 0.
-4/7, 30
Let u(d) be the first derivative of -10*d**5/11 + 115*d**4/22 + 98*d**3/33 + 5*d**2/11 + 281. Let u(v) = 0. Calculate v.
-1/5, 0, 5
Let x(j) be the second derivative of 0*j**3 + 1/120*j**5 - 11*j - 1/6*j**4 + 22*j**2 + 0. Let z(w) be the first derivative of x(w). Solve z(g) = 0 for g.
0, 8
Let y(w) be the second derivative of w**4/96 + 5*w**3/8 + 81*w**2/16 + 302*w. Factor y(u).
(u + 3)*(u + 27)/8
Suppose 5*t + 7*d - 10600 = 2*d, -3*t - 5*d = -6352. Factor 13778 + 2132*o**2 - 4254*o**2 - 332*o + t*o**2.
2*(o - 83)**2
Let i = 5681/55 + -1101/11. Let q(w) be the second derivative of 3/25*w**5 + 14/15*w**4 + i*w**2 + 8/3*w**3 + 0 - 10*w. Find n such that q(n) = 0.
-2, -2/3
Suppose -3*w + 5*f - 19 = 0, -7*w - 2*f - 34 = -3*w. Let x = w + 32. Factor -68 - 39 + x*j + 71 - 4*j**2.
-4*(j - 3)**2
Let h = -17111 - -119781/7. Suppose 0 = -g + 1 + 1. Factor h*u**g - 12/7 - 8/7*u.
4*(u - 3)*(u + 1)/7
Let j(r) be the third derivative of -29/72*r**4 + 0*r + 0 - 7/18*r**3 - 3*r**2 - 1/45*r**5. Suppose j(y) = 0. What is y?
-7, -1/4
Let s(o) be the third derivative of -1/280*o**6 + 0*o**3 + o + 0*o**5 + 0 + 0*o**4 - 14*o**2. Factor s(a).
-3*a**3/7
Let l(m) be the third derivative of 1/12*m**3 - 29/96*m**4 + 0 + 96*m**2 - 49/480*m**6 + 0*m + 7/15*m**5. Solve l(v) = 0.
1/7, 2
Factor 0 - 4/3*j**2 + 4/3*j.
-4*j*(j - 1)/3
Let t(z) be the first derivative of 570*z**2 + 1588/3*z**3 - 2888*z + 39*z**4 - 54 + 4/5*z**5. Suppose t(a) = 0. What is a?
-19, -2, 1
Let s(d) be the second derivative of -16 + 11/6*d**4 - 5/3*d**3 - 2*d**2 + 2*d - 2/5*d**5. What is z in s(z) = 0?
-1/4, 1, 2
Let n(k) be the second derivative of k**6/36 - 8*k**5/15 + 35*k**4/12 + 50*k**3/9 + 26*k**2 - 39*k. Let d(q) be the first derivative of n(q). Factor d(b).
2*(b - 5)**2*(5*b + 2)/3
Let d(j) = 2*j**3 - 7*j**2 - 8*j + 4. Let t(k) = 123*k**3 - 2*k + 8*k - 4 - 125*k**3 + 6*k**2. Let y(u) = 4*d(u) + 6*t(u). Factor y(i).
-4*(i - 2)*(i - 1)*(i + 1)
Suppose 179*z + 3744 = 192*z. Suppose -3*v - 273 + z = 0. Factor 0 - 1/6*m**4 - 1/6*m**3 + 1/6*m**2 + 0*m + 1/6*m**v.
m**2*(m - 1)**2*(m + 1)/6
Let g = -59 - -78. Let h(a) = 3*a**2 + 1 - 18*a + 38*a - g*a - 2*a**2. Let c(t) = -8*t**2 - 20*t - 6. Let z(s) = 2*c(s) - 12*h(s). Factor z(i).
-4*(i + 1)*(7*i + 6)
Let c(b) be the second derivative of 18*b + 1 + 0*b**2 - 1/12*b**5 + 0*b**3 - 25/12*b**4. Factor c(t).
-5*t**2*(t + 15)/3
Let m(j) be the second derivative of -j**6/3 - j**5/4 + 15*j**4/4 + 10*j**3/3 - 10*j**2 + 4*j - 600. Find b, given that m(b) = 0.
-2, -1, 1/2, 2
Factor -36*v**2 - 432 - 8*v**3 + 288*v + 4/3*v**4.
4*(v - 6)*(v - 3)**2*(v + 6)/3
Let z = 20213/3 - 222331/33. Factor z - 6/11*n**2 - 2/11*n.
-2*(n + 1)*(3*n - 2)/11
Factor 2752*c**3 + 2800*c + 265*c**2 - 216000 - 1386*c**3 - 1371*c**3.
-5*(c - 40)**2*(c + 27)
Let o be 108 + -105 + (-3 - 3/(-1)). Let f(l) be the first derivative of 1/5*l**5 + l**2 - 1/2*l**4 + 0*l**o + 23 - l. Factor f(g).
(g - 1)**3*(g + 1)
Let t(h) be the second derivative of h**4/21 + 208*h**3/21 + 5408*h**2/7 - 2*h + 2992. Factor t(j).
4*(j + 52)**2/7
Let s(m) = 13*m**3 + 2*m + 1. Let p be s(-1). Let d(f) = -2*f**2 - 30*f + 8. Let h be d(p). Factor h*g + 4*g + 5*g**2 + 6 + 29.
5*(g + 1)*(g + 7)
Let r(n) = -n**3 - 17*n**2 - 35*n - 36. Let f be r(-15). Suppose -i - 35 = -l - f, -2*i - 5*l = 13. Suppose 1/2*t - 1/2*t**2 + i = 0. Calculate t.
-1, 2
Suppose 3*q - g = q - 6*g - 0*g, 4*g = q. Factor 0*f + 10/3*f**4 - 8/3*f**2 + q + 2/3*f**3.
2*f**2*(f + 1)*(5*f - 4)/3
Suppose -4/9*j**2 - 88/3 + 100/9*j = 0. What is j?
3, 22
Let k be 345/(-276) - 84/648*(-5)/(30/99). Let 0*g**4 + k*g**3 + 0*g - 2/9*g**5 + 0*g**2 + 0 = 0. Calculate g.
-2, 0, 2
Let j be (368/138)/(308/42). Factor 0 - j*k + 2/11*k**4 - 2/11*k**2 + 4/11*k**3.
2*k*(k - 1)*(k + 1)*(k + 2)/11
Let k(m) be the first derivative of 32 + 4*m**2 - 7/4*m**4 - m**5 + 1/3*m**3 - 1/6*m**6 + 4*m. Find u, given that k(u) = 0.
-2, -1, 1
Solve 546*z**3 - 573/5*z**2 - 3381/5*z**4 + 36/5*z + 0 = 0 for z.
0, 1/7, 12/23
Let x = 43 - 39. Suppose -100 = -5*d - v, -d - x*v = 2*d - 77. Factor -d + 36*a + 13 - 18*a**2 - 18 + 3*a**3 + 0*a**3.
3*(a - 2)**3
Let f = 6972 - 6966. Let l(k) be the first derivative of 8/3*k**3 + 0*k - f + k**4 + 2*k**2. Suppose l(c) = 0. What is c?
-1, 0
Let w(t) be the second derivative of -t**7/56 - 9*t**6/40 - 9*t**5/8 - 11*t**4/4 - 3*t**3 + 1126*t + 2. Solve w(v) = 0 for v.
-3, -2, 0
Let v(s) = 48*s**3 + 446*s**2 - 9900*s - 60513. Let n(r) = 22*r**3 + 222*r**2 - 4950*r - 30256. Let o(m) = -13*n(m) + 6*v(m). Factor o(y).
2*(y - 55)**2*(y + 5)
Let a(b) be the first derivative of -1/30*b**4 - 1/5*b**2 - 29 - 2/15*b**3 + 32*b. Let i(o) be the first derivative of a(o). Factor i(f).
-2*(f + 1)**2/5
Let r(y) be the second derivative of -y**4/30 - 22*y**3/5 - 128*y**2/5 - 1291*y. Factor r(g).
-2*(g + 2)*(g + 64)/5
Let h(i) be the first derivative of -2*i**5/15 - 7*i**4 - 128*i**3 - 2560*i**2/3 - 8907. Factor h(o).
-2*o*(o + 10)*(o + 16)**2/3
Let q = -144622/3 + 48208. Factor -80/3*l - 8*l**2 + q*l**4 + 4/3*l**3 - 64/3.
2*(l - 4)*(l + 2)**3/3
Factor 20/9*j + 2/9*j**2 - 22/9.
2*(j - 1)*(j + 11)/9
Let u(c) = -c**3 + 11*c**2 - 29*c + 4. Let n be u(4). Suppose -2*m + 1 + 3 = 0. Factor -7*y**2 - 5*y**3 - 5*y**4 + 17*y**m + 0*y**2 + n*y**3.
-5*y**2*(y - 1)*(y + 2)
Let 7/2*p**2 - 36 + 125*p = 0. What is p?
-36, 2/7
Factor -51/2 + 35/8*k**2 - 7/2*k - 1/8*k**3.
-(k - 34)*(k - 3)*(k + 2)/8
Let g be (22/11)/((-3)/701). Let w = g - -470. Determine f so that -2 - w*f - 2/3*f**2 = 0.
-3, -1
Let c(a) be the third derivative of -13/80*a**5 + 1/42*a**7 + 0 + a**2 - 23/48*a**4 - 1/3*a**3 + a + 73/480*a**6. Let c(v) = 0. What is v?
-4, -2/5, -1/4, 1
Suppose y + 2*v - 247 = 0, 3*y + 4*v - 222 - 525 = 0. Let d be (0 + -8)/(y/33 - 10). Factor -30/7*x + 24/7*x**4 + 6/7*x**5 - 12/7 - 12/7*x**2 + d*x**3.
6*(x - 1)*(x + 1)**3*(x + 2)/7
What is r in 0 - 30/7*r**4 + 0*r + 16/7*r**3 + 6/7*r**2 + 8/7*r**5 = 0?
-1/4, 0, 1, 3
Let q(t) be the second derivative of t**5/80 + 71*t**4/48 - 457*t**3/24 + 385*t**2/8 - 282*t. Factor q(s).
(s - 5)*(s - 1)*(s + 77)/4
Suppose -2*s - m = 2*s - 9, -m + 1 = 0. Factor b**4 + 34*b**3 + 2520 - 8*b**s - 9*b**4 - 2520.
-2*b**2*(b - 4)*(4*b - 1)
Let s(p) be the second derivative of p**4/12 - 23*p**3 + 8*p + 28. Factor s(z).
z*(z - 138)
Let j = 145094/21765 - -2/7255. Let o(x) be the third derivative of 0*x - 5/6*x**4 + j*x**3 - 8*x**2 - 1/6*x**5 + 1/24*x**6 + 0. Find p, given that o(p) = 0.
-2, 2
Let j = -102717 + 102720. Determine o, given that -2/7*o**j + 2/7*o + 0*o**2 + 1/7 - 1/7*o**4 = 0.
-1, 1
Let r(h) = -h**4 - h**3 - h + 1. Let i be -4*55/22*(-1 + 3). Let q(p) = p**4 + 2*p**3 + 7*p**2 + 2*p - 4. Let s(m) = i*r(m) - 5*q(m). Let s(a) = 0. What is a?
-2, 0, 1/3, 1
Let w(g) = -g**3 - 11*g**2 - g - 23. Let k be w(-11). Let c be 1*(-3)/k - 0/(-4). Determine r, given that 0 - 5/4*r**2 - c*r**4 + 1/2*r + r**3 = 0.
0, 1, 2
Suppose -64*p + 145 - 275 = -258. Factor 8/7*g - 2/7*g**3 + 0 + 6/7*g**p.
-2*g*(g - 4)*(g + 1)/7
Suppose 30/11*i**2 + 20/11*i**3 - 20/11*i + 2/11*i**4 - 32/11 = 0. Calculate i.
-8, -2, -1, 1
Suppose 2*c + 1 = -m, 5*m - 19 = -4*c - 0*c. Let a be (-2 - 1 - -1) + m. Factor -g - 1 + 3*g**3 - 159*g**2 - g**a + 161*g**2 - g**4 + 0 - g**3.
-(g - 1)**2*(g + 1)**3
Let h(u) be the first derivative of 0*u**2 - 2/3*u**6 - 8 + 0*u - 99*u**4 - 484/3*u**3 + 84/5*u**5. Let h(a) = 0. What is a?
-1, 0, 11
Let w = -144 - -140. Let c be w/(-18) + (-1001)/(-234). Factor -3*s - c*s**2 + 3/2.
-3*(s + 1)*(3*s - 1)/2
Suppose -5*q - 13*d - 128 = 0, 83*q = 79*q + 5*d + 67. Factor 18/5*w**q + 54/5*w + 0 + 54/5*w**2 + 2/5*w**4.
2*w*(w + 3)**3/5
Suppose -10*y - 1480 + 1530 = 0. Let n(c) be the third derivative of 1/24*c**y + 0 + 0*c - 1/3*c**3 + 1/6*c**4 - 2*c**2. Determine v so that n(v) = 0.
-2, 2/5
Let b(f) = -f**3 - 2*f**2 + f + 1. Let x(z) = 6*z**3 + 66*z**2 - 72*z - 129. Let t(d) = 3*b(