/24*l**4 + 90*l**2 + l - 1/120*l**5 + 0. Factor x(z).
-(z + 1)**2/2
Let j(d) be the third derivative of -d**7/90 - 209*d**6/30 - 179*d**5/45 + 2*d**2 + 36*d + 29. Factor j(a).
-a**2*(a + 358)*(7*a + 2)/3
Let d(o) be the second derivative of -3/8*o**4 - 135/2*o**2 + 0 - 71*o - 137/4*o**3. Factor d(x).
-3*(x + 45)*(3*x + 2)/2
Let x(p) = -p**2 + 7797*p - 7884. Let h(j) = -2*j**2 + 23391*j - 23697. Let d(v) = -2*h(v) + 7*x(v). Factor d(f).
-3*(f - 2598)*(f - 1)
Let w(f) be the third derivative of 0 + 10*f + 8/105*f**7 - 1/4*f**5 - 1/15*f**6 + 1/3*f**4 - 1/6*f**3 - 4*f**2. Factor w(r).
(r - 1)*(r + 1)*(4*r - 1)**2
Let g be (4 - (-168)/7)*(-7 - -1). Let t = g + 345. Factor 164*m - 353*m + t*m + 2*m**2.
2*m*(m - 6)
Let o(l) be the second derivative of -l**7/105 + l**6/30 + 11*l**5/30 - l**4 - 12*l**3 - 27*l**2 + 90*l. Let w(a) be the first derivative of o(a). Factor w(v).
-2*(v - 3)**2*(v + 2)**2
Let b = -36 + 39. Suppose -12 = -0*y - 3*y. Suppose -2*m**b - 2*m**y + 1239*m - 1239*m = 0. What is m?
-1, 0
Let n = 275 + -195. Factor -8*k**2 + n*k - 10*k**2 - 18 + 5 - 80*k**3 + 50*k**4 - 19.
2*(k - 1)*(k + 1)*(5*k - 4)**2
Let p(z) be the first derivative of 3*z**5/100 + 23*z**4/20 + 3*z**3/2 - 27*z**2 + z - 167. Let b(l) be the second derivative of p(l). Let b(j) = 0. What is j?
-15, -1/3
What is s in -169/8*s**2 + 1/8*s**3 + 765*s + 22275/2 = 0?
-11, 90
Let b(z) be the second derivative of -z**6/6 - 3*z**5/4 + 175*z**4/12 + 125*z**3/2 - 625*z**2 + 7*z - 7. Find x, given that b(x) = 0.
-5, 2, 5
Let h(r) = -r**2 - 9*r - 16. Let v be h(-6). Solve 8*p**2 - p**4 + 28*p**v - 4*p**2 - 3*p**2 + 8*p**2 + 36 - 4*p**3 - 68*p = 0.
-9, 1, 2
Let q(y) = y**2 + 3*y + 4. Let x be q(-4). Let i(o) = -o**2 + 13*o - 36. Let t be i(x). Solve -2/7*u**t + 2/7*u**3 + 4/7*u**2 + 0*u + 0 = 0.
-1, 0, 2
Let b = 729 - 717. Factor b + 31 + 92 + 112*s - 2*s**2 - 21.
-2*(s - 57)*(s + 1)
Let h(a) be the first derivative of 2*a**5/5 - 13*a**4/12 + 8*a**3/9 - a**2/6 - 2510. Factor h(p).
p*(p - 1)**2*(6*p - 1)/3
Let f(x) be the third derivative of -22*x**2 + 5/8*x**4 + 1/21*x**7 - 1/6*x**6 - 1/6*x**5 + 0*x**3 + 0 + 0*x + 5/336*x**8. Factor f(c).
5*c*(c - 1)**2*(c + 1)*(c + 3)
Suppose -5*i + 5*x + 267 + 23 = 0, 0 = 2*i - x - 114. Let g = -41 + i. Find n, given that -21*n**3 + 0*n + 16*n**3 - g*n**2 - 10*n = 0.
-2, -1, 0
Let z = 218 - -592. Find n such that 81 + 2100*n + 3*n**4 - 1664 + 87*n**3 + z*n**2 - 1417 = 0.
-10, 1
Suppose 0 = 6*v + 35*v + 369. Let l(m) = 32*m + 288. Let t be l(v). Factor 2/7*x**2 + t - 2/7*x**4 + 4/7*x - 4/7*x**3.
-2*x*(x - 1)*(x + 1)*(x + 2)/7
Let -1334 + 2069 - 3*f**4 - 126*f**3 - 1039*f - 563*f + 996*f**2 = 0. What is f?
-49, 1, 5
Let z(f) be the third derivative of f**7/315 - f**6/90 - 4*f**5/45 + 320*f**2. Determine d, given that z(d) = 0.
-2, 0, 4
Let h be 5/(-28) - (-53)/212. Let d(a) be the first derivative of 0*a - 2/7*a**2 + 2/7*a**3 - h*a**4 + 8. Factor d(n).
-2*n*(n - 2)*(n - 1)/7
Let t(y) be the first derivative of 3*y**4/20 - 5*y**3 - 336*y**2/5 + 3988. Factor t(o).
3*o*(o - 32)*(o + 7)/5
Let d(q) be the third derivative of q**9/5040 + q**8/315 - 13*q**7/1260 - q**6/30 - 8*q**5/3 + 155*q**2. Let r(b) be the third derivative of d(b). Factor r(a).
4*(a - 1)*(a + 6)*(3*a + 1)
Let w be (-4)/(3*(-3)/18). Suppose 3*m = 2*v + 14, 0*m = m - 4*v - w. Find l, given that -3 + 7*l**3 + 3*l**2 + m*l - l - 10*l**3 = 0.
-1, 1
Let r(p) be the third derivative of -p**5/330 + p**4/22 + 40*p**3/33 + 631*p**2. Factor r(w).
-2*(w - 10)*(w + 4)/11
Let x(g) be the second derivative of g**7/3360 - 7*g**5/480 + g**4/16 - g**3/3 + 5*g**2 + 127*g - 2. Let i(l) be the second derivative of x(l). Factor i(v).
(v - 2)*(v - 1)*(v + 3)/4
Find v such that -37/4 - 37/2*v**3 + 73/4*v + 1/4*v**5 + 35/4*v**4 + 1/2*v**2 = 0.
-37, -1, 1
Determine a so that 17*a**3 - 17*a - 278*a**4 - 30 + 29*a**2 - 251*a**4 + 530*a**4 = 0.
-15, -2, -1, 1
Let v(y) be the third derivative of -y**5/150 + 17*y**4/6 + 344*y**3/15 - 3277*y**2. Factor v(f).
-2*(f - 172)*(f + 2)/5
Let i(m) be the third derivative of -1/42*m**5 + 0*m + 5*m**2 - 94/21*m**3 + 8 + 79/28*m**4. Factor i(q).
-2*(q - 47)*(5*q - 2)/7
Suppose 63001 + 1/4*a**2 - 251*a = 0. What is a?
502
Let z(h) be the third derivative of 1/210*h**5 + 25/84*h**4 + 0 + 8/7*h**3 - 99*h**2 + 0*h. Suppose z(b) = 0. What is b?
-24, -1
Let d(x) be the first derivative of 75 + 33/4*x**2 - 1/3*x**3 + 17/2*x. Let d(t) = 0. What is t?
-1/2, 17
Factor 606 + 5*k**3 - 273970*k**2 + 276900*k**2 + 2334 - 5875*k.
5*(k - 1)**2*(k + 588)
Factor -80*s - 6239*s**3 - 7 - 208*s**2 + 7 + 6219*s**3.
-4*s*(s + 10)*(5*s + 2)
Let d(g) = 17*g**2 + 1511*g - 1556. Let k(s) = -12*s**2 - 1007*s + 1039. Let r(f) = -5*d(f) - 7*k(f). Factor r(i).
-(i - 1)*(i + 507)
Solve -2/3*k**2 - 2/3*k**3 + 34/3*k - 10 = 0.
-5, 1, 3
Suppose -452*g - 30*g = -112*g - 2220. Factor -g - 17/3*x + 1/3*x**2.
(x - 18)*(x + 1)/3
Let v(k) be the second derivative of 5*k**4/12 + 155*k**3/3 + 2385*k**2/2 - 6*k + 343. Find n such that v(n) = 0.
-53, -9
Let v(i) be the second derivative of i**7/189 - i**6/135 - 11*i**5/90 + 29*i**4/54 - 26*i**3/27 + 8*i**2/9 + 2033*i. Let v(h) = 0. What is h?
-4, 1, 2
Let h(k) = k + 4. Let s(x) = -3*x - 20. Let d be s(-6). Let a be h(d). Factor 3*n**5 + 24*n**4 - n**5 + 65*n**3 + 32 + 112*n**a - n**3 - 6*n**4 + 96*n.
2*(n + 1)*(n + 2)**4
Let i(h) be the third derivative of -h**6/320 + h**5/16 + 23*h**4/64 + 3*h**3/4 + 715*h**2. Solve i(j) = 0 for j.
-1, 12
Let o(t) = t**3 - 10*t**2 + 16*t - 1. Let p be o(8). Let u be (p/3)/(6/18) - -3. Factor 2*a**3 - 4*a + 2 + 720*a**2 - a - 719*a**u.
(a - 1)*(a + 2)*(2*a - 1)
Let q(y) be the first derivative of 5*y**6/6 + 115*y**5 + 17885*y**4/4 + 76685*y**3/3 + 12925*y**2 - 121000*y - 390. Find x such that q(x) = 0.
-55, -4, -2, 1
Let k(l) be the first derivative of l**7/1120 + l**6/480 - l**5/40 - l**4/8 - 2*l**3/3 - 51*l - 31. Let h(b) be the third derivative of k(b). Factor h(v).
3*(v - 2)*(v + 1)*(v + 2)/4
Let c(b) = 4*b**2 + 10*b - 46. Let m be c(-8). Let u = m - 127. Factor -2/9*j + 2/9*j**u + 0 + 1/3*j**2.
j*(j + 2)*(2*j - 1)/9
Suppose -38*d**2 + 104/5 + 6/5*d**5 + 96/5*d - 58/5*d**4 - 246/5*d**3 = 0. Calculate d.
-2, -1, 2/3, 13
Let y(m) be the first derivative of m**4/20 + m**3 + 63*m**2/10 - 119*m - 127. Let b(f) be the first derivative of y(f). Factor b(o).
3*(o + 3)*(o + 7)/5
Let m(r) be the third derivative of 289*r**5/180 - 1105*r**4/18 + 8450*r**3/9 + r**2 - 4*r + 27. What is n in m(n) = 0?
130/17
Let r = 1049 - 220289/210. Let u(l) be the third derivative of 1/1176*l**8 + 0 + 1/140*l**6 + 0*l**3 + r*l**5 + 0*l + 1/245*l**7 - 6*l**2 + 0*l**4. Factor u(q).
2*q**2*(q + 1)**3/7
Let w(p) be the second derivative of -p**4/24 - 4*p**3/3 - 63*p**2/4 - 303*p. Determine h, given that w(h) = 0.
-9, -7
Solve -45/4*y**2 - 57*y - 33 + 15/4*y**4 + 33/2*y**3 = 0 for y.
-22/5, -1, 2
Suppose 0 = -5*t + 2*t + 885. Suppose 24*l**2 + 30*l - 270*l**3 + 16*l**2 + 45*l**2 + t*l**3 = 0. What is l?
-3, -2/5, 0
Let x = 1934 - 1929. Let j be 10*33/550*x/18. Suppose 11/6*n + j*n**3 - 1 - n**2 = 0. What is n?
1, 2, 3
Let b(m) = -22*m**3 + m**2 - 2*m + 2. Let s be b(1). Let a be 1/((-112)/s + -5). Factor -w**2 + 0*w**a + 1/3*w**4 - 2/3*w + 0.
w*(w - 2)*(w + 1)**2/3
Let x be ((-2)/(-6))/((-4)/(-36)). Let g(f) = 2*f**2 + 3*f - 5. Let m be g(-4). Let -5*z**3 + 0*z**x - 25*z - 8*z**2 + m*z + 3*z**3 - 4 = 0. What is z?
-2, -1
Suppose -2*r = 5*p + 1, -4*r + 7 = -5*p - 6. Let k = -36 - -49. Determine m, given that -5*m**2 + 18*m**2 - k - 8*m**4 - 2*m**3 + 7 + m**2 + r*m = 0.
-1, 3/4, 1
Let b(v) be the second derivative of 19*v - 2/105*v**5 + 0 + 1/28*v**4 + 0*v**3 + 1/420*v**6 + 7/2*v**2. Let i(o) be the first derivative of b(o). Factor i(g).
2*g*(g - 3)*(g - 1)/7
Let u(z) be the second derivative of -7*z**4/16 + 653*z**3/4 - 279*z**2 + 1226*z + 1. Factor u(c).
-3*(c - 186)*(7*c - 4)/4
Let i(d) = 8*d**2 + 1367*d + 1294. Let n(s) = -13*s**2 - 2058*s - 1941. Let t(x) = -8*i(x) - 5*n(x). Factor t(f).
(f - 647)*(f + 1)
Let b(w) be the second derivative of 0*w**4 + 1/120*w**5 + w + 21 - 13/36*w**3 - w**2. Factor b(j).
(j - 4)*(j + 1)*(j + 3)/6
Let v = 119 + -114. Suppose 0 = 5*z - v*y - 15, 6*z + 5*y = 8*z + 9. Factor -2*c**2 - c - c - 5*c**2 + z*c**2 + c**3.
c*(c - 1)*(c +