2 - 3*c - 900 + 10*c + 41*c = 0. Calculate c.
30
Let d = 8 + -91. Let n be (0 - 26/(-8)) + (-84 - d). What is w in 0 - 3/2*w + n*w**2 - 3/4*w**3 = 0?
0, 1, 2
Let j = -173 + 175. Let n(i) be the first derivative of -3/4*i**4 + 0*i + 4 + 1/6*i**6 + 4/3*i**3 - 2/5*i**5 + 2*i**j. Factor n(b).
b*(b - 2)**2*(b + 1)**2
Let v(t) be the first derivative of -7*t**5/20 + 11*t**4/16 + 5*t**3/6 - t**2 - 24. Factor v(r).
-r*(r - 2)*(r + 1)*(7*r - 4)/4
Let x(a) be the second derivative of 3/40*a**5 - 13*a + 0*a**3 + 0*a**4 + 7/120*a**6 + 1/168*a**7 + 0*a**2 + 0. Factor x(y).
y**3*(y + 1)*(y + 6)/4
Suppose -20*w + 45 = -15*w. Let p be (2 - (-20)/(-12))*w. Suppose 0 + 3*d**2 + 81/4*d**p - 3*d + 21/4*d**5 + 39/2*d**4 = 0. What is d?
-2, -1, 0, 2/7
Let s be (18/(-30) - 0)/(-3). Let 0 + 2/5*h**2 + 1/5*h + s*h**3 = 0. Calculate h.
-1, 0
Let a(j) be the second derivative of 16/15*j**3 - 1/3*j**4 - 14*j - 8/5*j**2 + 1/25*j**5 + 0. Factor a(l).
4*(l - 2)**2*(l - 1)/5
Let l(k) = -3*k**2 - k + 60. Let h(o) = 30*o**2 + 9*o - 600. Let w(d) = 2*h(d) + 21*l(d). Factor w(p).
-3*(p - 4)*(p + 5)
Suppose 204 - 36 = -4*m. Let w be 6*6/72 - (-3)/m. Solve 6/7*p**3 - w*p - 3/7*p**5 + 0*p**4 + 0*p**2 + 0 = 0.
-1, 0, 1
Let d(y) be the third derivative of y**6/32 - 17*y**5/80 - 11*y**4/8 + 5*y**3/2 - 73*y**2 - 2*y. Factor d(o).
3*(o - 5)*(o + 2)*(5*o - 2)/4
Let w(r) be the first derivative of 8*r + 14*r**2 - 7/4*r**4 + 6 - 2/3*r**3. Solve w(p) = 0 for p.
-2, -2/7, 2
Let t(r) be the third derivative of -r**8/504 + 4*r**7/315 - r**5/9 + r**4/36 + 2*r**3/3 + 149*r**2. Determine z, given that t(z) = 0.
-1, 1, 2, 3
Let l(k) be the second derivative of -5/2*k**2 + 3*k - 1/5*k**5 + 0 + 8/3*k**3 - 1/30*k**6 + 0*k**4. Let w(a) be the first derivative of l(a). Factor w(p).
-4*(p - 1)*(p + 2)**2
Let x(o) = -o**2 - 5*o - 3. Let u be x(-3). Let n(q) be the third derivative of 2*q**2 + 0 + 0*q + 1/60*q**6 - 1/12*q**4 + 0*q**u + 0*q**5. Factor n(z).
2*z*(z - 1)*(z + 1)
Let b(z) be the first derivative of -2*z**3/15 - 5*z**2 - 630. Find p, given that b(p) = 0.
-25, 0
Let v = 272/171 - 26/19. Let h = 5756 - 5754. Solve -2/9 + 4/9*u - v*u**h = 0 for u.
1
Let i = -4 + 5. Suppose -5*l = -11 + i. Solve 5*h**2 + h**2 - 4*h**2 + 0*h**l = 0 for h.
0
Let s = 8710 + -43163/5. Let j = s - 77. Factor 0 + 2/5*v**2 + j*v - 2/5*v**3 - 2/5*v**4.
-2*v*(v - 1)*(v + 1)**2/5
Let o be ((-84)/(-3))/((-90)/9) + 7. Determine j so that 3*j**2 - o*j - 18/5 = 0.
-3/5, 2
Let i(s) be the first derivative of s**4/16 - s**3/6 + s**2/8 + 29. Let i(w) = 0. What is w?
0, 1
Let a be 3*(14/12 - (-2)/4). Suppose a + 0*p**2 + 390*p - 5*p**2 - 405*p + 15*p**3 = 0. What is p?
-1, 1/3, 1
Suppose -32 = -9*f + 7*f. Factor 27*z**2 + 23*z - f + 0*z**2 - 3*z - 8*z**3 + z**2.
-4*(z - 4)*(z + 1)*(2*z - 1)
Let y(a) = -46*a**2 - 865*a + 861. Let m(f) = -11*f**2 - 216*f + 215. Let u(r) = 25*m(r) - 6*y(r). Suppose u(j) = 0. Calculate j.
1, 209
Suppose -2*r + 3 = -5. Let i be (-4)/14 - r/(-14). Find q, given that i*q**3 + q**3 + 0*q - q = 0.
-1, 0, 1
Suppose 3*k - 3*m = 2*m - 18, 0 = -4*k + 3*m - 13. Let u be (k - -2)*0/(-2). Factor 0*v + 1/2*v**3 - 1/2*v**2 + u.
v**2*(v - 1)/2
Suppose 0 = 3*m + 16 - 49. Factor 5*h - 3 + 6*h**3 + 5*h**4 - 2*h**4 - m*h.
3*(h - 1)*(h + 1)**3
Let m(h) be the first derivative of h**4/18 - 2*h**3/27 - 10. Factor m(y).
2*y**2*(y - 1)/9
Suppose 0*i**3 - 2/7*i**5 + 4/7*i**2 + 2/7*i + 0 - 4/7*i**4 = 0. Calculate i.
-1, 0, 1
Suppose 6*k = -29*k + 175. Let u(j) be the third derivative of 1/9*j**4 - 8/27*j**3 + 0*j + j**2 + 0 + 1/540*j**6 - 1/45*j**k. Determine d so that u(d) = 0.
2
Let d(k) be the second derivative of -k**6/120 - 3*k**5/80 + k**3/6 - 2*k + 100. Factor d(g).
-g*(g - 1)*(g + 2)**2/4
Let i = -335/12 + 117/4. Let g be (-2)/(-35)*7 - 0/2. Determine j so that -2/15*j + 4/5*j**2 - 8/5*j**3 - g*j**5 + i*j**4 + 0 = 0.
0, 1/3, 1
Let i(l) = 3*l**3 - 78*l**2 + 499*l + 12. Let b(w) = -9*w**3 + 234*w**2 - 1499*w - 33. Let f(d) = 4*b(d) + 11*i(d). Factor f(k).
-3*k*(k - 13)**2
Let v(r) be the third derivative of -5*r**8/336 - r**7/6 - 7*r**6/12 - r**5/6 + 25*r**4/8 + 15*r**3/2 + 96*r**2. Let v(i) = 0. What is i?
-3, -1, 1
Factor 0 - 3/8*l**3 - 9/2*l - 39/8*l**2.
-3*l*(l + 1)*(l + 12)/8
Let u(y) = 2*y + 7. Let s(c) = -c**2 + 72*c - 1142. Let m(t) = 3*s(t) - 6*u(t). Solve m(g) = 0.
34
Factor 48/5*t - 108/5 - 4/5*t**2.
-4*(t - 9)*(t - 3)/5
Let n = 3583/792 - 7/88. Find z such that n*z**3 - 40/9*z**2 - 20/9*z**4 + 20/9*z + 4/9*z**5 - 4/9 = 0.
1
Let i be (-190)/(-150) - 8/12. Find z, given that 2/5*z**2 + 1/5*z**4 + 4/5*z - i - 4/5*z**3 = 0.
-1, 1, 3
Let u = -65 - -37. Let x = u + 55. Factor 35 + 20*o - x*o**2 + 4*o**3 + 11*o**2 - 43.
4*(o - 2)*(o - 1)**2
Suppose -16 = -213*y + 205*y. Let v(n) be the third derivative of -4*n**y + 5/3*n**3 - 1/24*n**6 - 25/24*n**4 + 1/3*n**5 + 0 + 0*n. Factor v(m).
-5*(m - 2)*(m - 1)**2
Solve 0*l - 6/5*l**2 + 4/15*l**3 + 8/15 + 2/5*l**4 = 0 for l.
-2, -2/3, 1
Let q(o) be the second derivative of -1/4*o**3 + 17/8*o**4 - 21/20*o**5 + 0 - 26*o - 3/2*o**2. Suppose q(c) = 0. Calculate c.
-2/7, 1/2, 1
Suppose 27*s = -15*s + 252. Let a(c) be the third derivative of 0*c + 0*c**3 + 0*c**4 + 7*c**2 + 0 + 1/180*c**5 + 1/360*c**s. Let a(o) = 0. Calculate o.
-1, 0
Let n(d) be the third derivative of -d**7/1512 - d**6/216 - d**5/72 + d**4/12 - 2*d**2. Let p(x) be the second derivative of n(x). Factor p(z).
-5*(z + 1)**2/3
Let a be 2/4 + (-359)/(-3590). Factor 6/5*l + a*l**2 - 9/5.
3*(l - 1)*(l + 3)/5
Suppose n + 64 = 17*n. Suppose -n*w + 27 = 15. Determine z so that 1/3*z**2 + 0 - 1/3*z**4 - 1/3*z + 1/3*z**w = 0.
-1, 0, 1
Let q = 13 + -11. Let o be -3 - (q - 46/8). Find j, given that -1/2*j**4 + 0*j**3 + 0 + o*j**5 + 0*j**2 + 0*j = 0.
0, 2/3
Let b(n) be the third derivative of -n**5/150 + 3*n**4/20 + 14*n**3/3 - 2*n**2 - 93. Let b(k) = 0. What is k?
-5, 14
Let h(g) = -42*g**3 - 105*g**2 - 33. Let n(v) = 5*v**3 + 13*v**2 + 4. Let j(p) = 4*h(p) + 33*n(p). Find y, given that j(y) = 0.
0, 3
Suppose -20 - 55 = 5*c. Let a(h) = 5*h**3 - 5*h**2 - 2. Let g(k) = -35*k**3 + 35*k**2 + 15. Let q(r) = c*a(r) - 2*g(r). Determine t so that q(t) = 0.
0, 1
Let 2 - 10/3*q - 2/3*q**4 - 4/3*q**2 - 2/3*q**5 + 4*q**3 = 0. Calculate q.
-3, -1, 1
Let u be -3 - -9 - (-9 - -10). Let l(s) be the first derivative of 2/15*s**3 + 1/25*s**u + 3/20*s**4 + 0*s**2 + 1 + 0*s. Let l(j) = 0. Calculate j.
-2, -1, 0
Let z(q) = q**2 - 16*q + 52. Let x be z(12). Let o(p) be the third derivative of -1/60*p**5 + 0*p**3 + 0*p + 0 - 1/12*p**x - 6*p**2. Factor o(a).
-a*(a + 2)
Let n(f) = f**3 + 9*f**2 + f + 12. Let v be n(-9). Suppose -5*w = 5*q - 40, -4*q - v*w = -37 + 10. Factor -2*g - 3 + 4*g**4 + 6*g**q + 3.
2*g*(g + 1)**2*(2*g - 1)
Let n = 254/399 + -20/57. Let h(j) be the first derivative of n*j**3 + 1/14*j**6 - 1/5*j**5 + 6 + 1/7*j - 5/14*j**2 + 1/14*j**4. Factor h(o).
(o - 1)**3*(o + 1)*(3*o - 1)/7
Let z(i) be the third derivative of 1/570*i**5 + 0 + 0*i + 0*i**3 - 1/228*i**4 + 16*i**2. Solve z(g) = 0 for g.
0, 1
Let p = -7887/2 + 3944. Solve 1 + p*n - 1/2*n**2 = 0.
-1, 2
Let w(a) be the third derivative of 25*a**6/12 - 5*a**5 + 5*a**4 - 8*a**3/3 + a**2 - 74*a. Factor w(v).
2*(5*v - 2)**3
Let y(b) be the third derivative of b**5/80 - b**4/8 - 10*b**2. Let y(r) = 0. What is r?
0, 4
Let t = 134 - 48. What is q in 60*q - 3*q**4 - t - 70 + 21*q**3 - 54*q**2 + 132 = 0?
1, 2
Let k = 80478 + -565468/7. Let m = k + 304. Let 0 - 9/7*w**3 + 3/7*w**5 + m*w**4 - 12/7*w**2 + 12/7*w = 0. Calculate w.
-2, 0, 1
Factor 0 + 76/9*l**2 - 74/9*l - 2/9*l**3.
-2*l*(l - 37)*(l - 1)/9
Solve 0 + 57/4*s**3 + 1/4*s**5 + 9/2*s - 55/4*s**2 - 21/4*s**4 = 0.
0, 1, 18
Suppose -2*x + 12 = 8. Factor -2*t**2 + 5*t + 36*t**3 - 15*t**3 + x - 17*t**3 - 9*t**3.
-(t - 1)*(t + 1)*(5*t + 2)
Let a(v) be the second derivative of -4/21*v**3 + v - 2/7*v**2 - 1/21*v**4 + 0. What is u in a(u) = 0?
-1
Suppose -53 = -7*u + 45. Suppose l**2 + 23*l - 7*l - l**2 - 2*l**2 - u = 0. What is l?
1, 7
Suppose -65 = -3*b - i, i = 4*b + 17 - 99. Suppose 28*t = b*t + 21. Find p such that 0 - 1/2*p - 1/2*p**t + p**2 = 0.
0, 1
Let l(o) be the second derivative of -o**7/14 + 7*o**6/10 - 21*o**5/10 + 2*o**4 + 137*o. Find j such that l(j) = 0.
0, 1, 2, 4
Let k be ((-4)/(-12))/(2/24). Solve 6 - 4*o - 1 + 2*o**3 - 