actor -2/9*a**i - 16/9 + 16/9*a**2 + 2/9*a.
-2*(a - 8)*(a - 1)*(a + 1)/9
Suppose 4*s + 3*s = 21. Solve -4*f**3 + 37*f**2 + f**3 + s*f**5 - 6*f**4 - 31*f**2 = 0.
-1, 0, 1, 2
Suppose 0 = 5*c + 38 - 48. Suppose 3 = c*j - 9. Factor -20*x + 2*x**4 - j*x**4 - 22*x**3 - 6*x**3 + 9*x**2 - 53*x**2.
-4*x*(x + 1)**2*(x + 5)
Let t(i) = -5425*i**2 - 290*i - 65. Let q(b) = -493*b**2 - 27*b - 6. Let j(h) = -65*q(h) + 6*t(h). Determine g, given that j(g) = 0.
0, 3/101
Let v(m) be the third derivative of -m**7/490 + 5*m**6/56 - 27*m**5/35 + 41*m**4/14 - 40*m**3/7 - 20*m**2 - 11*m - 1. Determine a, given that v(a) = 0.
1, 2, 20
Let c(x) be the first derivative of x**5/25 + 643*x**4/20 - 43*x**3 - 643*x**2/10 + 644*x/5 - 3987. Factor c(s).
(s - 1)**2*(s + 1)*(s + 644)/5
Let o(b) = -4*b**2 + 6*b**2 - b + 3*b**2 - 4*b**2. Let a be o(2). Let -9 + 4 + 5 - 2*j**2 - a*j**4 - 4*j**3 = 0. Calculate j.
-1, 0
Let f(a) = 23*a**2 + 27*a**2 + 0*a - 49*a**2 - 3*a. Let v be f(0). Factor 0 + v*k + 3/8*k**2.
3*k**2/8
Let q = -6762592/5 - -1352522. Suppose -q*j**4 + 0*j**2 + 0*j**3 + 0 + 0*j - 2/5*j**5 = 0. Calculate j.
-9, 0
Let r(z) be the third derivative of z**6/90 + z**5/18 - z**4/9 - 4*z**3/3 - 2*z**2 - 6*z - 131. Factor r(v).
2*(v + 2)**2*(2*v - 3)/3
Let r = 5312477/6 - 885412. Let 1/6*b**4 + 0 + r*b**3 + 4/3*b**2 + 2/3*b = 0. What is b?
-2, -1, 0
Let y(i) = -i**2 + 51*i + 3. Suppose -7*b + 13*b = 306. Let a be y(b). Let 3*g**2 + 3/2*g**4 - 4 + 6*g - 11/2*g**a = 0. Calculate g.
-1, 2/3, 2
Suppose -c + 3 + 2 = w, -c + 17 = 4*w. Determine r, given that -2*r - 4 - 9*r + 10474*r**2 - 5*r**4 - r**3 - 10483*r**2 + 6*r**w = 0.
-1, 4
Let z(l) = l - 3. Suppose 28*m + 12 = 16*m. Let h(b) = 4*b**2 + 108*b - 12. Let y(p) = m*h(p) + 4*z(p). Let y(o) = 0. What is o?
-26, 0
Let t = -872 + 982. Factor -8 + a**3 - t*a + 123*a - 8*a**2 + 2.
(a - 6)*(a - 1)**2
Let j(a) be the third derivative of -a**5/120 + 3*a**4/2 - 671*a**3/12 - 3*a**2 + 301. Let j(d) = 0. Calculate d.
11, 61
Let z(m) be the first derivative of m**5/3 + m**4/2 - 7*m**3/3 + 2*m**2/3 + 119*m - 41. Let u(o) be the first derivative of z(o). Determine f so that u(f) = 0.
-2, 1/10, 1
Let a be ((-3531)/(-16478))/(9/168). Find t such that -t**4 - 5*t**3 + a*t**2 + 1/2*t**5 + 33/2*t + 9 = 0.
-2, -1, 3
Suppose q = 4*k - 0*q - 45, -3*q = k + 5. Find p such that k*p - 2*p + 6 + 7*p - 3*p**3 - 3*p**4 + 9*p**2 = 0.
-1, 2
Let t(h) be the second derivative of -5*h**7/42 + 11*h**6/15 - 23*h**5/20 + h**4/2 - 1023*h. Find x, given that t(x) = 0.
0, 2/5, 1, 3
Let c(l) = l**3 + 9*l**2 - 374*l - 3870. Let f be c(-11). Suppose -2960/3*q**2 + 620*q**3 + 220/3*q**4 - 190*q + 1444/3 + f*q**5 = 0. Calculate q.
-19, -2/3, 1
Let x(m) be the third derivative of -m**6/100 - 17*m**5/30 - 154*m**4/15 - 196*m**3/15 + 2*m**2 - 3*m + 307. Factor x(k).
-2*(k + 14)**2*(3*k + 1)/5
Let o(a) be the second derivative of -a**5/270 + a**4/54 - 21*a**2 - 89*a. Let q(l) be the first derivative of o(l). Solve q(c) = 0 for c.
0, 2
Let v = 238091/3 + -1666394/21. Find u such that 0*u + v*u**3 + 27/7*u**4 + 0 + 3/7*u**5 + 81/7*u**2 = 0.
-3, 0
Let m(z) be the third derivative of z**5/90 + 217*z**4/36 - 17*z**2 + 5. Find s such that m(s) = 0.
-217, 0
Let h be (-11013)/(-13785) + 80/(-100). Let w = 4593/1838 - h. Let w*y - 1/4*y**2 - 25/4 = 0. Calculate y.
5
Factor 2/17*c**2 + 252/17*c + 250/17.
2*(c + 1)*(c + 125)/17
Let n be (2 + -8 - -2) + -2 + 11. Let z(x) = 7*x**3 - 7*x**2 + 4*x. Let a be z(4). Factor n*y**2 - 3 + 7 + a*y - 340*y.
(y + 2)*(5*y + 2)
Let g(j) be the first derivative of 3*j**4/4 - 105*j**3 + 621*j**2/2 - 309*j - 2872. Solve g(z) = 0.
1, 103
Let m(i) be the second derivative of 2*i**6/15 + 22*i**5/5 + 40*i**4 - 44*i**3/3 - 242*i**2 - 69*i. What is q in m(q) = 0?
-11, -1, 1
Let j(u) be the first derivative of 3*u**4/2 + 12580*u**3/3 + 3299104*u**2 + 4393216*u - 6547. Find b, given that j(b) = 0.
-1048, -2/3
Let w(m) be the first derivative of 10*m**2 + 0*m - 5 + 1/4*m**4 + 1/20*m**5 + 1/2*m**3. Let r(l) be the second derivative of w(l). Find i such that r(i) = 0.
-1
Let v = 338620 + -338616. Determine j so that 0 + j**3 + 0*j + 4*j**2 - 1/2*j**v = 0.
-2, 0, 4
Let g(o) be the first derivative of 9*o**3 - 237*o**2/2 - 54*o - 662. Factor g(c).
3*(c - 9)*(9*c + 2)
Let m(v) be the second derivative of -5*v**7/42 - 179*v**6/3 + 719*v**5/4 - 150*v**4 + 13541*v. Let m(r) = 0. What is r?
-360, 0, 1
Let j(q) = -5*q**2 + 148*q - 149. Let k(b) = -36*b**2 + 1038*b - 1046. Let w(v) = 44*j(v) - 6*k(v). Solve w(u) = 0.
1, 70
Let w(z) = -4*z**2 + 42*z + 175. Let m(s) = -15*s**2 + 167*s + 699. Let r(g) = -6*m(g) + 22*w(g). Factor r(y).
2*(y - 43)*(y + 4)
Let x = -37 - -34. Let z be (8/6)/((-2)/x). Let 2*r - 3*r**3 - 2 + z + r = 0. What is r?
-1, 0, 1
Let d be 738/99 + (-12)/(-22). Factor -166 + 4*f**2 - 12*f - d*f**2 + 182.
-4*(f - 1)*(f + 4)
Factor 435/2*q - 7*q**2 - 1/2*q**3 + 0.
-q*(q - 15)*(q + 29)/2
Determine q so that -18/7*q**2 - 207/7*q + 3/7*q**3 + 66 = 0.
-7, 2, 11
Let h(f) be the second derivative of -f**4/8 - 505*f**3 - 765075*f**2 - 865*f. Factor h(p).
-3*(p + 1010)**2/2
Let h be 14/5 - 1122/(-935). Let x(m) be the first derivative of -m**h + 96*m + 40/3*m**3 - 56*m**2 - 5. Factor x(b).
-4*(b - 6)*(b - 2)**2
Let q(b) = b**3 - 9*b**2 + 2*b + 1. Let f(s) = 6*s**3 - 125*s**2 - 351*s - 105. Let m(g) = f(g) - 3*q(g). Suppose m(k) = 0. What is k?
-3, -1/3, 36
Let n = -773 + 568. Let b = n + 207. Solve s**b - 1/2*s**3 + 0 + 0*s - 1/2*s**4 = 0.
-2, 0, 1
Suppose 26*z - 520 = 18*z. Let v be (-10)/(-65) + 1/(z/224). Factor -v + 2/5*b**3 + 2*b**2 + 6/5*b.
2*(b - 1)*(b + 3)**2/5
Let 26 + 94/5*w + 2/5*w**3 - 34/5*w**2 = 0. What is w?
-1, 5, 13
Let j(y) be the first derivative of -2*y**3/3 + 652*y**2 - 212552*y - 1198. Factor j(s).
-2*(s - 326)**2
Let p(k) be the first derivative of 5*k**4/4 + 65*k**3/3 - 560*k**2 - 14700*k + 1304. Factor p(q).
5*(q - 15)*(q + 14)**2
Let i(a) be the third derivative of a**6/840 - 19*a**5/420 + 11*a**4/42 + 32*a**3/21 + 75*a**2 + 1. Factor i(z).
(z - 16)*(z - 4)*(z + 1)/7
Let h(r) be the third derivative of r**6/200 + 4*r**5/5 + 145*r**4/8 + 175*r**3 + 941*r**2. Factor h(q).
3*(q + 5)**2*(q + 70)/5
Let v(s) be the first derivative of -15*s**4/16 - 10*s**3/3 + 165*s**2/8 - 25*s/2 + 376. Solve v(g) = 0.
-5, 1/3, 2
Let c(z) be the third derivative of -z**5/300 - 61*z**4/20 - 11163*z**3/10 + 169*z**2. Factor c(j).
-(j + 183)**2/5
Let m(h) be the third derivative of h**6/30 - 38*h**5/15 - 15*h**4/2 + 156*h**3 + 20*h**2 + 26*h + 1. Factor m(o).
4*(o - 39)*(o - 2)*(o + 3)
Suppose 288*w - 578*w + 144 = -272*w. Let q(k) be the second derivative of 1/225*k**6 + 1/90*k**4 + 0*k**3 - w*k + 0 + 0*k**2 - 1/75*k**5. Factor q(i).
2*i**2*(i - 1)**2/15
Determine s so that 2*s**3 + 129*s + 44*s**2 - 38*s + 164*s - 63*s - 576 = 0.
-12, 2
Suppose 3*n - 821 = 5*t, -4*t + 486 = -7*t + 4*n. Let j be t/(-104) - (-16)/(-728)*-7. What is m in -j*m + 1/4*m**2 + 3/2 = 0?
1, 6
Let t(y) = 26*y**4 - 6*y**3 - 53*y**4 - 1 + 0*y + 24*y**4 + 2*y. Let u(x) = -x**4 - x**3. Let d(z) = -t(z) + 4*u(z). Determine q so that d(q) = 0.
-1, 1
Let l be (-2 + -7)/(79 + 48 + -132). Determine o, given that l*o**2 - 9/5 - 3/5*o**3 + 3/5*o = 0.
-1, 1, 3
Let b(j) = 5*j**3 + 1457*j**2 + 2907*j + 1447. Let u(v) = 15*v**3 + 4370*v**2 + 8720*v + 4340. Let f(s) = 25*b(s) - 8*u(s). Suppose f(y) = 0. Calculate y.
-291, -1
Let v be -9 + 6 + 9 - 2. Suppose v = -2*m - 2*b - 2, 4*b + 26 = 3*m. What is y in 3/4*y - 1/4*y**m + 0 = 0?
0, 3
Suppose -26*r + 21*r = 5*p - 40, -2*p + 12 = 0. What is k in -19*k**3 - 5*k**4 - 8/5 - 114/5*k**r - 52/5*k = 0?
-2, -1, -2/5
Let f(s) be the first derivative of -8*s**5/15 + s**4/12 + 217*s**2/2 - 269. Let y(j) be the second derivative of f(j). Suppose y(n) = 0. Calculate n.
0, 1/16
Let q = -66/4163 - -4493/20815. Factor 0 + 1/5*h - 2/5*h**2 + q*h**3.
h*(h - 1)**2/5
Find w such that 16/3*w**2 + 0 - 8/3*w**3 + 1/3*w**4 + 0*w = 0.
0, 4
Let -10/11*f**5 - 32/11*f**3 - 128/11 + 344/11*f**2 + 192/11*f - 6*f**4 = 0. What is f?
-4, -1, 2/5, 2
What is f in -2136/5 + 1074/5*f - 3/5*f**2 = 0?
2, 356
Let t(j) be the third derivative of -5*j**8/1344 - 31*j**7/840 - j**6/480 + 31*j**5/240 + j**4/16 + j**2 - 6530. What is w in t(w) = 0?
-6, -1, -1/5, 0, 1
Let q(j) be the second deriva