*4 + 0 + 8/9*i**m = 0. What is i?
-4, -1, 0
What is m in -8072*m**3 - 128 - 37128*m**4 - 17344*m**2 + 2496*m - 33124*m**5 + 47735*m**3 + 9265*m**3 = 0?
-2, 2/13, 2/7
Let s(l) = -l**2 + 71*l + 999. Let g be s(83). Factor 1/3*m**2 + 1/3*m**4 + 0 - 2/3*m**g + 0*m.
m**2*(m - 1)**2/3
Factor -2/3*u + 0 + 2/15*u**3 - 8/15*u**2.
2*u*(u - 5)*(u + 1)/15
Suppose 2*i - 2 = -5*q, -3*q - 2 = -2*i + q. Let b be (2/(-6))/(3/(-9) - i). Let 1/4*v**2 + 1/2*v + b = 0. Calculate v.
-1
Let k = 133 - 2792/21. Let r(p) be the first derivative of 1/42*p**6 + 0*p - k*p**3 - 1/28*p**4 + 1/35*p**5 + 0*p**2 + 2. Let r(s) = 0. Calculate s.
-1, 0, 1
Let s be 2*((-10)/(-2) - 4277/854). Let u = s + 63/122. Suppose u*h**2 + 1 + 3/2*h = 0. What is h?
-2, -1
Let c be ((1086/4)/3)/(-1). Let f = c - -91. Let 0*s**2 - s**3 + s + f - 1/2*s**4 = 0. What is s?
-1, 1
Let x(i) be the third derivative of 1/105*i**5 + 0*i + 0 + 0*i**4 - 1/21*i**3 - 1/735*i**7 - 5*i**2 + 0*i**6. Find j such that x(j) = 0.
-1, 1
Determine s so that -136*s + 1734*s**2 + 8/3 = 0.
2/51
Factor -3*w**3 - 14*w**2 + 36*w**2 + 14*w**2.
-3*w**2*(w - 12)
Let h(f) be the third derivative of -f**8/57120 - f**7/21420 + 11*f**4/24 + 26*f**2. Let k(i) be the second derivative of h(i). Suppose k(g) = 0. What is g?
-1, 0
Let k(z) be the third derivative of z**6/840 + z**5/420 - z**4/168 - z**3/42 - 15*z**2 + 2. Factor k(i).
(i - 1)*(i + 1)**2/7
Let v(h) = -4*h**2 - 39*h + 12. Let m be v(-10). Let -1/2*k - 1 - m*k**4 + 2*k**3 - 3/2*k**5 + 3*k**2 = 0. Calculate k.
-1, 2/3, 1
Solve 12 - 65*w - 12 - 53*w**2 - 54*w**2 + 102*w**2 = 0 for w.
-13, 0
Find h such that 592*h**2 - 20*h**3 - 1174*h**2 - 4*h**5 + 16*h**4 + 590*h**2 = 0.
0, 1, 2
Find u such that u**5 - 3*u**5 - 6*u + 16*u**4 + 8*u**4 + 40*u**2 - 84*u**3 + 156*u = 0.
-1, 0, 3, 5
Find r, given that -10*r**4 + 25*r**5 + 35*r**2 + 62*r**3 - 25*r**2 - 87*r**3 = 0.
-1, 0, 2/5, 1
Let l = 20 - 14. Let o be (0 - -1)*(l - 1). Factor -p + o*p**3 - 2*p**3 + 2*p**2 + 3 - 2*p - 5*p**2.
3*(p - 1)**2*(p + 1)
Let a(m) be the first derivative of m**5/160 - m**4/4 + 4*m**3 - 16*m**2 + 10. Let i(l) be the second derivative of a(l). Let i(t) = 0. What is t?
8
Let a(l) be the second derivative of -l**9/3780 + l**8/560 - l**4/3 + 12*l. Let z(y) be the third derivative of a(y). Find q such that z(q) = 0.
0, 3
Let r(a) be the second derivative of -a**6/600 - 3*a**5/20 - 45*a**4/8 - 225*a**3/2 - 20*a**2 - 20*a - 1. Let v(z) be the first derivative of r(z). Factor v(b).
-(b + 15)**3/5
Let i be 46/(-4)*(-8)/7. Let q = i + -13. Let -q*s**3 - 8/7*s - 5/7*s**2 - 4/7 = 0. What is s?
-2, -1
Let a(q) be the third derivative of q**7/315 + 11*q**6/30 + 43*q**5/30 + 16*q**4/9 - 4*q**2 + 3*q. Find h such that a(h) = 0.
-64, -1, 0
Factor 18*w**4 + 180*w**2 + 1068*w**5 - 1070*w**5 - 48*w**3 - 148*w**2.
-2*w**2*(w - 4)**2*(w - 1)
Let b(w) be the third derivative of -10*w**2 + 0*w + 0 - 25/72*w**4 + 1/252*w**7 + 1/3*w**5 - 125/36*w**3 + 5/72*w**6. Find z, given that b(z) = 0.
-5, -1, 1
Suppose -38*g + 22 = -54. Determine m, given that -5/3*m**5 - 10/3*m**g + 10/3*m**4 + 0*m + 5/3*m**3 + 0 = 0.
-1, 0, 1, 2
Let i(l) be the second derivative of -15*l**7/14 - 31*l**6 - 121*l**5/4 - 25*l**4/3 + 347*l. Suppose i(s) = 0. What is s?
-20, -1/3, 0
Let x(j) = -j**3 + j**2. Let g(s) = -5 + 29*s + 3*s**2 - 67*s + 33*s + 7*s**3. Let w(c) = -g(c) - 2*x(c). Factor w(t).
-5*(t - 1)*(t + 1)**2
Suppose -4*m + 0*m + 4*i = -20, 5*m - 45 = -5*i. Let j = -3 + m. Let -10*d**j - 2*d**5 - 6*d**3 - 3*d + 10*d**5 + 10*d**2 + d = 0. Calculate d.
-1, 0, 1/4, 1
Let j be 14/8 + (91/(-2366))/((-2)/13). Solve 6/5*m**j + 0*m + 2/5*m**3 + 0 = 0.
-3, 0
Let m = 876 + -3503/4. Factor 0 - 1/4*x**2 - m*x.
-x*(x + 1)/4
Let v be 4 - (44 + -16)/14. Factor 2/9*h**v - 20/9 + 2/3*h.
2*(h - 2)*(h + 5)/9
Let t(d) be the first derivative of -d**4 + 26*d**3 + 63*d**2 + 433. Let t(h) = 0. What is h?
-3/2, 0, 21
Let h = -74 + 83. Suppose -16*o = -13*o - h. Factor -2/3 + 2/3*z - 2/3*z**o + 2/3*z**2.
-2*(z - 1)**2*(z + 1)/3
Let a(g) be the third derivative of -g**5/12 + 75*g**4/8 - 105*g**3 - 18*g**2 - g. Solve a(i) = 0.
3, 42
Let i = 179561 - 1259096/7. Let k = -309 - i. What is p in 2/7*p**2 - k*p + 4/7 = 0?
1, 2
Let h(y) be the first derivative of y**5/15 - 11*y**4/6 + 19*y**3/9 + 7*y**2 - 139. Find v such that h(v) = 0.
-1, 0, 2, 21
Let s = -9361/6 - -1561. Solve s*k + 1/6*k**2 + 1 = 0.
-3, -2
Let h(t) be the first derivative of 3*t**5/35 - 57*t**4/28 + 48*t**3/7 - 354. Factor h(w).
3*w**2*(w - 16)*(w - 3)/7
Suppose 0*s = 15*s + 2835. Let n = -186 - s. Factor 4/13*u**2 + 0 + 2/13*u + 2/13*u**n.
2*u*(u + 1)**2/13
Let n(m) = 8*m**4 - 2*m**3 - 53*m**2 + 47*m. Let l(u) = 22*u**4 - 6*u**3 - 158*u**2 + 142*u. Let q(t) = -3*l(t) + 8*n(t). Factor q(x).
-2*x*(x - 5)*(x - 1)*(x + 5)
Let g be 1/(-3) - (-16)/3. Suppose 2*a = 2*l - 2, 3*l - g*a + 0 = 1. Determine q, given that 0*q**l + 0*q + 2/5*q**4 + 0*q**3 + 0 = 0.
0
Let j(w) = 5*w**3 + 15*w**2 + 10*w. Let k = -11 - -6. Let o(r) = -r**2 - r. Let p(z) = k*o(z) + j(z). Solve p(a) = 0 for a.
-3, -1, 0
Let f(o) be the third derivative of o**5/270 - o**4/108 - 2*o**3/27 + 62*o**2. Factor f(y).
2*(y - 2)*(y + 1)/9
Let h(x) be the third derivative of x**5/20 + x**4/2 + 3*x**3/2 + 2*x**2 + 44*x. Factor h(d).
3*(d + 1)*(d + 3)
Let -12/5 + 2/5*m - 2/5*m**3 - 2/5*m**4 + 14/5*m**2 = 0. What is m?
-3, -1, 1, 2
Let a(i) = -262*i - 260. Let s be a(-1). Factor 0 + 5*p**3 - 16/3*p - 8/3*p**s + 8/3*p**4 + 1/3*p**5.
p*(p - 1)*(p + 1)*(p + 4)**2/3
Let i(q) be the third derivative of q**8/20160 + q**7/3780 - q**6/720 - q**4/6 + 6*q**2. Let v(o) be the second derivative of i(o). Factor v(p).
p*(p - 1)*(p + 3)/3
Let o(h) = h**2 - 12*h - 16. Let n be o(13). Let y = 3 - n. What is z in -3/2*z**2 - 6 - y*z = 0?
-2
Let v(c) be the first derivative of -c**6/30 - c**5/25 + c**4/4 - c**3/5 - 201. Factor v(i).
-i**2*(i - 1)**2*(i + 3)/5
Suppose -200*v + 30*v = 0. Find m, given that v - 24/7*m**4 - 54/7*m**3 - 48/7*m**2 - 3/7*m**5 - 15/7*m = 0.
-5, -1, 0
Suppose 2*t = -10 + 8. Let b be 0*(3/(-6) + (0 - t)). Factor 1/4*z**4 + 0 - 1/2*z**2 + b*z + 1/4*z**3.
z**2*(z - 1)*(z + 2)/4
Find j, given that -3/2*j**2 + 381/2*j - 189 = 0.
1, 126
Let q be (2 - -1)*3/243. Let m = q + 77/108. Determine h so that 3/2 - m*h**2 + 3/4*h = 0.
-1, 2
Let n(m) = 7*m**3 - 3*m**2 + 1. Let g be n(-2). Let c = 105 + g. Let 3*j**5 - c*j**3 + 34*j**3 + j**2 + j**5 - j**4 = 0. Calculate j.
-1, 0, 1/4, 1
Find g such that -12*g + 48/5 + 24/5*g**2 - 3/5*g**3 = 0.
2, 4
Let w(y) be the first derivative of -y**4 - 8*y**2 + 6*y + 12 + 14/3*y**3. Find g, given that w(g) = 0.
1, 3/2
Let i(b) be the third derivative of -b**6/900 - 2*b**5/225 + 7*b**4/180 + 2*b**3/9 - 16*b**2 - b. Find f, given that i(f) = 0.
-5, -1, 2
Let i(z) = -z**2 - z + 1. Let d(x) = -17*x**2 - 49*x - 4. Let b(l) = -d(l) + 2*i(l). Factor b(f).
(f + 3)*(15*f + 2)
Let d = 8 - 6. Suppose 0 = -y + d. Let -3*j - 2*j**3 - j - 4*j**2 - y*j**2 = 0. Calculate j.
-2, -1, 0
Let h(g) be the second derivative of -9/10*g**5 - 7/30*g**6 - 5/3*g**4 + 0*g**2 + 28*g - 1/42*g**7 - 4/3*g**3 + 0. Factor h(k).
-k*(k + 1)*(k + 2)**3
Let f(m) = 2*m**2 - 8*m + 20. Let v(p) = p**2 - 7*p + 18. Let a(j) = 2*f(j) - 3*v(j). What is b in a(b) = 0?
-7, 2
Suppose -4*a = -3*n + 6 + 2, -4*a = -4*n + 12. Suppose -d + 17 = 5*r, n*d + r - 5 = 6. Suppose -3/5*j**d + 9/5*j - 6/5 = 0. What is j?
1, 2
Determine i so that -304/5*i - 4*i**3 - 232/5*i**2 + 32 = 0.
-10, -2, 2/5
Factor 2*a - 22*a**3 + 3*a + 3*a + 2*a**3 + 12*a**2.
-4*a*(a - 1)*(5*a + 2)
Suppose 0 = 4*n - 2*l + 386, -n + 3*l - 84 = -0*n. Let h be n/(-110) - -2*1/(-5). Factor -h*a + 1/2*a**5 - a**4 + 0 + a**2 + 0*a**3.
a*(a - 1)**3*(a + 1)/2
Let w = -98 - -168. Let s = w - 64. Solve -5*j**4 - 3*j**2 - 1/2*j + 0 - 3/2*j**5 - s*j**3 = 0.
-1, -1/3, 0
Let i(m) be the first derivative of 2*m**6/9 + m**5/5 - 37*m**4/12 + 53*m**3/9 - 9*m**2/2 + 4*m/3 - 529. Factor i(r).
(r - 1)**3*(r + 4)*(4*r - 1)/3
Let c(q) be the third derivative of q**9/37800 + q**8/8400 + q**7/6300 + q**4/24 + 17*q**2. Let n(u) be the second derivative of c(u). Let n(i) = 0. What is i?
-1, 0
Suppose -5*c**3 - 7*c**2 - 8*c + 3*c - 3*c + 6*c**3 = 0. What is c?
-1, 0, 8
Let v(u) be the third derivative of -u**7/525 - 7*u**6/75 - 13*u**5/