actor g(p).
3*(p - 352)*(p + 1)/7
Let l = 110325/31522 + 1/15761. Let o(z) be the first derivative of z**4 + 8/5*z**5 + 1/2*z**6 - l*z**2 + 6 - 2*z - 2*z**3. Factor o(u).
(u - 1)*(u + 1)**3*(3*u + 2)
Let o(h) = -21*h**3 + 1776*h**2 - 49509*h - 18821. Let n(b) = -11*b**3 + 887*b**2 - 24755*b - 9411. Let z(r) = 10*n(r) - 6*o(r). Let z(j) = 0. What is j?
-3/8, 56
Suppose -5/2*b**4 - 555/2*b**3 - 1095/2*b**2 + 0 - 545/2*b = 0. What is b?
-109, -1, 0
Let z = 1139675/2 + -569836. Determine o, given that -3/2*o**4 + 3*o**2 - 1/2*o**5 - z - 1/2*o + o**3 = 0.
-3, -1, 1
Let u(i) be the third derivative of i**6/150 + i**5/3 + 26*i**4/5 - 3173*i**2. Factor u(c).
4*c*(c + 12)*(c + 13)/5
Let o be (-288 - -287)*3/(-9). Solve 1/3*x**2 - o*x**3 + 4/3*x - 4/3 = 0 for x.
-2, 1, 2
Let q(r) = r**2 - 4*r - 10. Let n be q(7). Suppose n*m - 10 = 6*m. Find d such that 7*d**2 + 8*d**2 - 11*d**m + 12 - 16*d = 0.
1, 3
Let m be 1/((-10)/20)*1/(-2). Let k(f) = 10*f**3 + 2*f**2 - 48*f - 24. Let x(j) = -j**3 - j**2 + 2*j. Let c(a) = m*k(a) + 8*x(a). Factor c(l).
2*(l - 6)*(l + 1)*(l + 2)
Determine r so that 0 - 5/2*r + 1/4*r**2 = 0.
0, 10
Let g be -6 + -1 - 32732/(-1200). Let l = -2/75 + g. Let 27/4*j**2 + 81/4*j + 3/4*j**3 + l = 0. Calculate j.
-3
Let p(o) be the third derivative of o**6/120 - 7*o**5/30 - 4*o**4/3 + 1951*o**2. Factor p(m).
m*(m - 16)*(m + 2)
Let o(i) be the second derivative of i**4/54 - 2*i**3/27 - 65*i**2/3 + 549*i. Factor o(j).
2*(j - 15)*(j + 13)/9
Let n be (-1)/(-1) + 1 + 0. Suppose z + 4*l = 6, -4*z - 3*l - 10 = -73. Suppose -i**2 + 3*i**2 - 2*i - 20 + n*i**2 + z*i = 0. Calculate i.
-5, 1
Let j(t) be the second derivative of -t - 1/4*t**5 - 20*t**2 - 35/12*t**4 + 24 - 35/3*t**3. Suppose j(p) = 0. What is p?
-4, -2, -1
Let q(r) = 16*r**3 + 229*r**2 - 2945*r - 25308. Let o(t) = 5*t**3 + 76*t**2 - 982*t - 8448. Let w(n) = -19*o(n) + 6*q(n). Factor w(c).
(c - 38)**2*(c + 6)
Let t(d) be the second derivative of d**6/120 - d**4/12 - 578*d + 3. Factor t(q).
q**2*(q - 2)*(q + 2)/4
Let 864/5 - 867/5*o + 3/5*o**2 = 0. What is o?
1, 288
Let t be (-1)/(2/6)*(10 + -20). Let b be ((-62)/t + 2)/(19/(-114)). Factor -12/5 - 2*y - b*y**2.
-2*(y + 2)*(y + 3)/5
Let b(h) be the first derivative of 0*h - 2/45*h**3 + 52 + 16/15*h**2. Factor b(o).
-2*o*(o - 16)/15
Let t = -3545 - -3561. Let m(g) be the first derivative of 0*g**2 - t + 5/9*g**3 - 20/3*g. Let m(u) = 0. What is u?
-2, 2
Let i = 6321 + -6321. Let s(p) be the second derivative of -4*p - 1/36*p**4 + i + 0*p**2 - 1/18*p**3. Solve s(y) = 0.
-1, 0
Let w(c) = 4*c - 5. Let s be (4/5)/((-6)/(-15)). Let i be w(s). Find k, given that 0*k**2 - k**2 - i*k + 385 - 387 = 0.
-2, -1
Let j(q) = 12*q**3 - 862*q**2 - 13*q - 13. Let y(a) = a**3 - 3*a**2 - a - 1. Let i(g) = -4*j(g) + 52*y(g). Solve i(d) = 0.
-823, 0
Let u(c) be the third derivative of c**7/42 - c**6/2 - 23*c**5/6 + 205*c**4/2 - 1365*c**3/2 - 500*c**2 + 3*c + 2. Let u(a) = 0. Calculate a.
-7, 3, 13
Let k(s) be the first derivative of 5*s**4/4 + 10*s**3 - 45*s**2/2 - 70*s + 5039. Determine n, given that k(n) = 0.
-7, -1, 2
Factor -150 - 18 + 4*g**2 - 3*g**3 + 13*g**2 + 66*g - 2*g**2.
-3*(g - 7)*(g - 2)*(g + 4)
Determine v so that 100/3*v - 2*v**3 + 0 + 2/3*v**5 - 14/3*v**4 + 110/3*v**2 = 0.
-2, -1, 0, 5
Factor 128*u - 255 - 1/4*u**2.
-(u - 510)*(u - 2)/4
Suppose 3*l - 4*n - 12 = -n, -30 = -5*l - 5*n. Let u(o) be the second derivative of 1/28*o**4 + 0*o**3 + 0 + 0*o**2 + 27*o - 1/140*o**l. Factor u(y).
-y**2*(y - 3)/7
Suppose -2*a - 4410 = -11*a. Let u = -486 + a. Factor 0*m - 6/5*m**3 - 2/5*m**u - 4/5*m**2 + 0.
-2*m**2*(m + 1)*(m + 2)/5
Let i be -4*6/60 + (-17)/(-5). Let x be (9/((-108)/(-32)))/(i/2). Determine g so that -10/9*g**4 + 0*g + 0 - x*g**3 - 2/3*g**2 = 0.
-1, -3/5, 0
Let u(i) = -12*i**2 - 444*i + 990. Let m(w) be the third derivative of w**5/60 + 17*w**4/12 - 38*w**3/3 + w**2 - 8*w. Let n(f) = 27*m(f) + 2*u(f). Factor n(x).
3*(x - 2)*(x + 12)
Let j(k) be the third derivative of k**6/90 - k**5/9 + k**4/3 + k**2 - 175*k. Solve j(c) = 0 for c.
0, 2, 3
Suppose 10*m - 128 = 552. Suppose 0 = -4*f + 6*f + 4*g - 32, m = 5*f + 4*g. Solve 10*l**3 - 10 - l + 15*l**2 - f*l - 2*l = 0.
-2, -1/2, 1
Determine c so that -50*c**5 - 64000 - 57608*c**3 - 149250*c**2 + 281134*c + 29266*c - 2960*c**4 - 203230*c**2 = 0.
-20, 2/5
Let k(c) be the first derivative of -3*c**5/80 - c**4/16 + c**3 + 41*c**2 + 156. Let u(f) be the second derivative of k(f). Determine q so that u(q) = 0.
-2, 4/3
Suppose 4*u - 18 = -10. Let o be 8/(-12)*3 - (-13 - u). Factor -6*r**4 + 6*r**2 + 12*r**3 + 3*r**5 + o*r**4 + 3*r**3 + 5*r**4.
3*r**2*(r + 1)**2*(r + 2)
Factor 99*j - 1/2*j**2 - 197/2.
-(j - 197)*(j - 1)/2
Let r(s) = 5*s**2 - 35*s. Let t(g) = 3132 - 3132 + g. Suppose -v = -8*v - 210. Let q(f) = v*t(f) - r(f). Let q(a) = 0. What is a?
0, 1
Let b(m) be the third derivative of 0*m - 3/2*m**4 + 0*m**3 - 2/5*m**5 + 4/15*m**6 + 0 + 62*m**2 + 4/35*m**7 + 1/84*m**8. Suppose b(j) = 0. What is j?
-3, -1, 0, 1
Let c = 31/39 - 6/13. Let b be -13 + (-3015)/(-225) - (-1)/(-15). Determine d, given that 2/3 + c*d**4 - 1/3*d - d**2 + b*d**3 = 0.
-2, -1, 1
Factor -558 - 2*a**2 + 793 - 3148*a + 1810*a + 1105.
-2*(a - 1)*(a + 670)
Let a(z) be the third derivative of -z**8/1848 - 2*z**7/1155 + 3*z**6/220 + z**5/165 - 2*z**4/33 + 1947*z**2. Find m such that a(m) = 0.
-4, -1, 0, 1, 2
Let s be (-16)/18 - (-4480)/1152. Let v(d) be the third derivative of 2/9*d**s - 2*d**2 + 1/90*d**5 + 0*d - 1/12*d**4 + 0. Determine a so that v(a) = 0.
1, 2
Solve 56*v - 169*v - 270*v**2 + 271*v**2 = 0 for v.
0, 113
Suppose -155*m + 2*f = -156*m + 32, -m - 3*f + 35 = 0. Let h(j) be the second derivative of 0 - 1/3*j**2 + 7/72*j**4 + 1/3*j**3 + m*j. Factor h(n).
(n + 2)*(7*n - 2)/6
Factor 18 - 39/2*c + 0*c**2 + 3/2*c**3.
3*(c - 3)*(c - 1)*(c + 4)/2
Let a(g) be the third derivative of -49*g**7/195 - 2303*g**6/195 - 1288*g**5/65 - 548*g**4/39 - 16*g**3/3 - 604*g**2. Factor a(z).
-2*(z + 26)*(7*z + 2)**3/13
Find b such that -78*b + b**2 + 0 + 79 - 14 - 23 + 110 = 0.
2, 76
Let i(p) = -28*p**4 - 161*p**3 + 444*p**2 + 2740*p - 412. Let z(y) = 56*y**4 + 321*y**3 - 888*y**2 - 5480*y + 828. Let n(u) = -7*i(u) - 3*z(u). Factor n(f).
4*(f - 4)*(f + 5)**2*(7*f - 1)
Let r = -8463 - -8471. Let d(h) be the first derivative of 0*h**3 + 1/3*h**6 + r + 0*h - h**4 + 2/5*h**5 + 0*h**2. Suppose d(a) = 0. What is a?
-2, 0, 1
Let w(d) = -2*d**3 - 53*d**2 + 157*d + 350. Let u be w(-29). Factor 10/11*l**3 - 34/11*l - 4*l**u + 20/11.
2*(l - 5)*(l + 1)*(5*l - 2)/11
Determine z so that -10*z**2 - 22*z**2 - 50*z**2 - z**4 - 4*z**2 - 44*z**3 - z**3 = 0.
-43, -2, 0
Let z = 17330 + -86646/5. Find m, given that m - 3/5*m**3 + 2/5 - z*m**2 = 0.
-2, -1/3, 1
Let -126/19 - 46/19*d - 4/19*d**2 = 0. Calculate d.
-7, -9/2
Find t, given that 834*t**2 - 17970*t**2 - 15497 - 62417*t + 24424 - 366*t**4 + 4776*t**3 + 22433*t + 24001 + 9*t**5 = 0.
-2, 2/3, 14
Let q = 1974/289 + -12951/2023. Solve 3/7 + 0*i - q*i**2 = 0 for i.
-1, 1
Factor 4605/8*k + 3/8*k**3 + 1161/8*k**2 + 3447/8.
3*(k + 1)*(k + 3)*(k + 383)/8
Let g = -357418 + 1072255/3. Factor -4/3*b**2 - 4/3*b + g*b**3 + 16/3.
(b - 4)*(b - 2)*(b + 2)/3
Let d be ((-19 - -19)/(-5))/2. Let l(p) be the second derivative of 21/16*p**4 + 3/5*p**5 - 1/2*p**3 + 3/40*p**6 - 9/2*p**2 + d + 41*p. Let l(g) = 0. What is g?
-3, -2, -1, 2/3
Let y(d) be the third derivative of d**6/30 - 28*d**5/3 + 4757*d**4/6 + 20164*d**3/3 + 2183*d**2 - 2*d. Factor y(l).
4*(l - 71)**2*(l + 2)
Suppose -x + 0*x - 19 = 4*k, 5*k - 2*x + 14 = 0. Let t be (0 + 2)*3 + k. Let g(p) = 2. Let c(z) = z**2 - z + 3. Let f(r) = t*c(r) - 3*g(r). Solve f(a) = 0.
0, 1
Let q(v) = 276*v**3 + 144*v**2 + 888*v + 760. Let j(y) = 208*y**3 + 143*y**2 + 889*y + 759. Let u(h) = -4*j(h) + 3*q(h). Factor u(p).
-4*(p + 1)*(p + 7)*(p + 27)
Solve -194*s + 586*s + 502*s - 99*s**2 + 66*s + 4*s**3 + 283*s**2 = 0 for s.
-40, -6, 0
Let r(x) be the first derivative of -13*x**3/3 + 37*x**2/2 - 30*x - 277. Let c(k) = -37*k**2 + 111*k - 91. Let q(a) = 6*c(a) - 17*r(a). Factor q(p).
-(p - 36)*(p - 1)
Find o, given that 0*o**2 + 230/3*o**4 + 0*o - 2/9*o**3 + 0 = 0.
0, 1/345
Suppose 18*q - 408 = 294. Suppose q*f = 17*f + 66. Find t, given that 0 + 0*t**2 - 1/2*t + 1/2*t**f = 0.
-1, 0, 1
Let n(x) = 6