actor -5/4*p + 5/4*p**k + d.
5*p*(p - 1)/4
Let q(k) = 1096*k + 2197. Let g be q(-2). Let d(p) be the third derivative of 0 + 1/4*p**4 + 21*p**2 + 0*p**3 + 0*p - 1/20*p**g. Let d(z) = 0. Calculate z.
0, 2
Let o = 237716/45 + -47536/9. Factor o*j + 1/5*j**2 + 3/5.
(j + 1)*(j + 3)/5
Let g(n) be the first derivative of -n**5/80 + n**4/8 + 3*n**3/8 - 7*n**2/4 + 224*n + 187. Let d(o) be the first derivative of g(o). Factor d(s).
-(s - 7)*(s - 1)*(s + 2)/4
Let q be ((1 - 1) + 4)/(50 + -46). Let l be (-12 + 18)/(3 + 0/q). Determine i, given that 16/17 + 70/17*i**4 - 140/17*i**l - 78/17*i**3 + 24/17*i = 0.
-1, -2/7, 2/5, 2
Find n, given that n**3 + 278*n**2 + n**3 + 226*n**2 + 0*n**3 + 508 + 0*n**3 - 1014*n = 0.
-254, 1
Suppose 9/4*m**3 - 3/4*m**5 + 39/4*m**2 - 15/2*m - 15/4*m**4 + 0 = 0. What is m?
-5, -2, 0, 1
Let w(f) = f**3 - 71*f**2 + 210*f - 405. Let r be w(68). Factor -1/3*b**2 - 1/3*b**r - 1/9*b - 1/9*b**4 + 0.
-b*(b + 1)**3/9
Let j(s) be the second derivative of -s**6/50 - 33*s**5/100 - 6*s**4/5 - 22*s + 76. Let j(n) = 0. What is n?
-8, -3, 0
Let u(f) be the second derivative of -f**4/6 - 100*f**3/3 + 101*f**2 - f + 314. Factor u(m).
-2*(m - 1)*(m + 101)
Let j(b) be the first derivative of -26 - 9*b**2 - 41*b - 1/2*b**3 + 1/4*b**4. Let c(f) be the first derivative of j(f). Let c(k) = 0. What is k?
-2, 3
Let j = -529960 - -3709724/7. Determine y, given that -48/7 + j*y**2 - 4/7*y = 0.
-3, 4
Let r(o) = 1206*o - 36174. Let f be r(30). Solve -15*y**3 + 3/2*y**5 - 45/2*y - 30*y**2 - f + 0*y**4 = 0 for y.
-1, 4
Let i(o) = 4*o**4 + 12*o**3 + 28*o**2 - 2. Let z(s) = 5*s**4 + 11*s**3 + 30*s**2 - 3. Let r(j) = -3*i(j) + 2*z(j). Factor r(v).
-2*v**2*(v + 3)*(v + 4)
Suppose -174/5*f + 0 + 171/5*f**2 - 42/5*f**3 = 0. What is f?
0, 2, 29/14
Let a be 2 - ((-1)/(-2*(-12)/(-96)) + -4). Determine f so that -2/5*f**a - 4/5*f + 6 = 0.
-5, 3
Let v(u) be the second derivative of 5/132*u**4 - 13/2*u**2 + 2/11*u**3 - 4*u + 0 - 1/330*u**5. Let l(q) be the first derivative of v(q). Factor l(f).
-2*(f - 6)*(f + 1)/11
Suppose -4*t + 5*c = 8, 5*t + 2*c + 10 = 4*c. Let w be (-1)/(-1) - (t - 125). Find i such that 4*i**2 - 8*i - 111 - w - 12*i + 255 = 0.
1, 4
Solve 18*c + 70*c - 66*c**3 + 356*c**2 - 19*c**4 + 352*c**2 + c**5 - 712*c**2 = 0.
-2, 0, 1, 22
Factor -673*a + a**3 + 921*a + 2496*a + 374*a + 1639*a - 8978 - 136*a**2.
(a - 67)**2*(a - 2)
Let g(r) be the second derivative of 2/3*r**4 - 38/3*r**3 - 2*r - 17 + 18*r**2. Factor g(z).
4*(z - 9)*(2*z - 1)
Let s(v) be the first derivative of 2*v**6/9 - 68*v**5/15 - v**4/3 + 68*v**3/9 - 4345. Determine j, given that s(j) = 0.
-1, 0, 1, 17
Let n(t) = 38*t**2 - 10*t - 11. Let o be n(5). Let p = 1779/2 - o. Factor 0 + 0*j + p*j**2.
j**2/2
Let z(r) be the first derivative of 2/3*r**3 - 2/5*r**2 - 2/5*r**4 + 2/25*r**5 + 38 + 0*r. Factor z(j).
2*j*(j - 2)*(j - 1)**2/5
Let y(n) be the second derivative of -2*n**6/15 - 3*n**5/5 + 4*n**4/3 + 3066*n. Solve y(g) = 0 for g.
-4, 0, 1
Let f(a) = 3*a**2 + 1. Let l(z) = 4*z**2 - 87*z - 87. Let q(g) = -f(g) + l(g). Suppose q(w) = 0. Calculate w.
-1, 88
Let d = -8989/220 + 450/11. Let q(g) be the second derivative of 1/10*g**3 + 0 - d*g**4 + 9/5*g**2 - 4*g. Factor q(z).
-3*(z - 3)*(z + 2)/5
Let w(y) be the first derivative of y**4/6 - 100*y**3/3 + 889. What is s in w(s) = 0?
0, 150
Let i(r) be the first derivative of -4/3*r**3 + 0*r + 12*r**2 - r**4 + 4. Factor i(n).
-4*n*(n - 2)*(n + 3)
Let o = 7/2097 + 536783/14679. Find n, given that 8*n**4 + 256/7*n**3 + o*n**2 + 4/7*n**5 - 2048/7 - 1024/7*n = 0.
-4, 2
Let o(v) = v**3 + 107*v**2 + 403*v - 36. Let q be o(-4). Factor q + 1/6*y**2 - 35/6*y.
y*(y - 35)/6
Let n be (2 + 13)*(-1272)/(-265). Suppose 0 = -23*r - 13*r + n. Factor 0 - 2/5*h + 2/5*h**4 - 2/5*h**r + 2/5*h**3.
2*h*(h - 1)*(h + 1)**2/5
Suppose 2024*k = 1013*k + 999*k + 24. Determine m so that -3/2*m - 1/8*m**4 - 1/2 - 13/8*m**k - 3/4*m**3 = 0.
-2, -1
Let s be 51/9 + (4/(-18) - 3600/1296). Factor s + 2/15*o**2 - 6/5*o.
2*(o - 5)*(o - 4)/15
Let m(t) = -4*t + 1. Let x(b) = 2097*b**2 + 2*b + 1. Let d(k) = -m(k) + x(k). Find z, given that d(z) = 0.
-2/699, 0
Determine p, given that -5*p + 82*p**3 + 568*p**2 + 269 - 37*p - 269 = 0.
-7, 0, 3/41
Let w be -5*(4/(-6))/(80/336). Suppose -6 - 22 = -w*y. Factor -z**y + z**3 - 1/2 - 7/4*z.
(z - 2)*(2*z + 1)**2/4
Let h(f) = -50*f + 425. Let n be h(8). Suppose 64*a = -n*a + 178. Factor -d - 3/2 + 1/2*d**a.
(d - 3)*(d + 1)/2
Suppose 0 = -3*s + 5*g - 142, -2*s + 5*g - 32 = 56. Let k be (s - (-2 - 0))*-1 + 1. Determine o so that 34*o - 8*o**2 - 9*o + 16 - k*o = 0.
-4, 1/2
Let k(x) be the third derivative of 1/960*x**6 + 0*x - 1/1680*x**7 + 0*x**3 + 0 - 109*x**2 - 1/48*x**4 + 1/120*x**5. Solve k(j) = 0.
-2, 0, 1, 2
Let h = -7286 + 36436/5. Let 8/5*r**3 - 16/5*r + h + 6*r**4 - 36/5*r**2 + 8/5*r**5 = 0. Calculate r.
-3, -1, 1/4, 1
Let t be 2 + 6 + (-21)/(-7). Suppose -12*f = -t - 13. Factor -2/3*v**4 + 8/3*v + 8/3*v**3 - 2/3 - 4*v**f.
-2*(v - 1)**4/3
Suppose -2*i**4 + 12*i**2 - 34*i**2 + 14*i**3 + 5*i**3 + 7*i**4 - 42*i - 7*i**2 - i**5 = 0. What is i?
-3, -1, 0, 2, 7
Let y(l) = 7*l**3 - 3*l**2 - 11*l + 21. Let f be y(4). Solve 33 + 32*p + 31 + 195*p**2 + 186*p**2 - f*p**2 = 0.
-4
Let a(y) be the first derivative of 33 + 2/3*y**4 - 2*y**3 + 1/5*y**5 - 9*y + 0*y**2. Let g(c) be the first derivative of a(c). Let g(p) = 0. What is p?
-3, 0, 1
Let j(u) = -2*u**3 + 14*u**2 + 522*u - 12. Let v be j(20). Let c(d) be the first derivative of v + 1/18*d**4 + 8/27*d**3 + 0*d + 1/3*d**2. Solve c(f) = 0.
-3, -1, 0
What is o in -131*o**2 + 83*o**2 - 1587 + 651 - 3*o + 165*o + 47*o**2 = 0?
6, 156
Factor -3*s**3 + 729 + 149*s**2 - 64*s**2 + 104*s**2 + 478*s + 977*s + 534*s**2.
-3*(s - 243)*(s + 1)**2
Let w(r) be the second derivative of -3*r**8/1064 + 2*r**7/133 - 5*r**6/228 - 28*r**2 - r - 34. Let j(m) be the first derivative of w(m). Factor j(u).
-2*u**3*(3*u - 5)**2/19
Let f(q) be the second derivative of q**5/15 - q**4/6 + 13*q**2/2 + 6*q + 3. Let u(p) be the first derivative of f(p). Factor u(c).
4*c*(c - 1)
Factor -40*l**5 + 36*l**5 + 68*l + 3 + 71*l**2 + 19 - 16*l**4 - 15*l**2 + 2.
-4*(l - 2)*(l + 1)**3*(l + 3)
Find v such that 9/5*v**2 - 41/10*v - 1/10*v**3 - 156/5 = 0.
-3, 8, 13
Let r = -2813/13 - -5665/26. Factor -r*k**2 - 72*k - 864.
-3*(k + 24)**2/2
Suppose 213 = j + 202. Suppose 12 - j = f - 3*b, -19 = -6*f + 5*b. Factor 21/4*x**2 + 33/8*x + 9/8 - 3/8*x**f - 3/8*x**5 + 9/4*x**3.
-3*(x - 3)*(x + 1)**4/8
Let l(a) = a**2 + 28*a - 92. Suppose 12*g - 56 = 16. Let k(o) = 5*o**2 + 112*o - 366. Let h(w) = g*k(w) - 26*l(w). Let h(t) = 0. Calculate t.
7
Let j(t) be the second derivative of -19/6*t**4 + 115*t + 0 + 20/3*t**3 - t**2. Let j(p) = 0. What is p?
1/19, 1
Let k = -26 - -30. Suppose 0 = k*t - 2*y, y - 3*y = -8. Factor 4*s**3 - 34 + 4*s**t + 34.
4*s**2*(s + 1)
Let k(d) be the first derivative of d**6/10 - 13*d**5/5 - 249*d**4/20 - 31*d**3/15 + 15*d**2 - 2179. Let k(w) = 0. Calculate w.
-3, -1, 0, 2/3, 25
Suppose 0 = -2*m - 3 + 11. Factor -18*x**4 + 10*x**3 - 18*x**m + 31*x**4.
-5*x**3*(x - 2)
Find n, given that -310 - 232*n - 577*n**2 + 618*n**3 - 35*n**2 - 130*n**4 + 627 - 269 = 0.
-2/5, 2/13, 2, 3
Let s(u) = -38*u**3 - 3220*u**2 + 6511*u + 18. Let t(c) = -9*c**3 - 805*c**2 + 1628*c + 4. Let z(q) = 2*s(q) - 9*t(q). Find l such that z(l) = 0.
-163, 0, 2
Let q(c) = 3*c**2 + 22*c + 58. Let b be q(-5). Let r be (-4)/2 - b*1/(-9). What is i in -r*i**5 + 4/9*i - 2*i**4 + 0 - 17/9*i**3 + 0*i**2 = 0?
-2, -1, 0, 2/5
Let d(g) be the third derivative of -g**6/40 - 7*g**5/20 + g**4/2 + 14*g**3 - 1443*g**2. Factor d(b).
-3*(b - 2)*(b + 2)*(b + 7)
Let h be ((-51)/22)/(6/12) + (-120)/(-24). Let 0 + 14/11*x**2 + 0*x + h*x**5 + 4*x**3 + 34/11*x**4 = 0. What is x?
-7, -1, -1/2, 0
Let l be ((-1)/3)/(2/(-24)). Let j(t) be the first derivative of -4*t - l*t**4 - 4*t**2 - 8 + 28/3*t**3. Factor j(i).
-4*(i - 1)**2*(4*i + 1)
Solve 71*d**2 + 2*d**4 - d**4 - 5333*d**3 + 10671*d**3 - 5317*d**3 + 51*d = 0 for d.
-17, -3, -1, 0
Factor 1/3*r**2 - 142/3 + 23*r.
(r - 2)*(r + 71)/3
Suppose 0 = -2*o - 2*s - 116, -2*o + o - 3*s - 58 = 0. Let k = o + 67. Determine i so that -11*i**2 + k*i + 7*i + 7*i**2 = 0.
0, 4
Factor 1/5*c**2 - 1/10*c**3 + 71/10*c - 36/5.
-(c - 9)*(c - 1)*(c + 8)/10
Let c(a)