 + 235/4*w = 0.
-24, 1
Let s(b) be the second derivative of -b**4/3 - 77*b**3/6 - 19*b**2/2 + 3*b - 4. Factor s(t).
-(t + 19)*(4*t + 1)
Let h = 225 - 241. Let d be ((-6)/144)/(4/h). Solve -1/6*b**4 + 1/3*b**3 + 0*b + 0 - d*b**2 = 0 for b.
0, 1
Let b be 5/(-2) - (-2)/(-4). Let i(h) = 11*h**2 - h - 2. Let v(a) = 22*a**2 + 20*a**2 - 1 - 32*a**2 - 1 - 2*a. Let x(w) = b*i(w) + 4*v(w). Factor x(t).
(t - 1)*(7*t + 2)
Suppose -5*i = v - 31, -2*v + 3*i - 2*i = -7. Let d be 0/(((-9)/v)/((-2)/(-4))). Factor x - 1/2*x**2 + d.
-x*(x - 2)/2
Let b(f) = f + 9 - f - 4 - f. Let x be b(0). Determine h so that -h**2 - 8*h**3 + h**2 + 7*h**4 + x*h**4 = 0.
0, 2/3
Let x = -1816/13 - -140. Let 10/13*j**4 + 2/13*j**3 + x*j - 10/13*j**2 - 6/13*j**5 + 0 = 0. Calculate j.
-1, 0, 2/3, 1
Determine o so that 39*o - 2*o**2 - 43*o**2 + 31*o - o**3 + 4*o**3 + 2*o**3 = 0.
0, 2, 7
Let w(s) be the second derivative of -s**7/14 - 3*s**6/10 + 3*s**5/5 - 2*s + 42. Solve w(i) = 0.
-4, 0, 1
Let a(r) be the second derivative of 5*r**6/6 + 7*r**5/4 - 5*r**4/12 - 5*r**3/2 + 10*r + 1. Suppose a(i) = 0. What is i?
-1, 0, 3/5
Let z(y) be the third derivative of y**8/42 + 421*y**7/735 + 247*y**6/140 - 2*y**5/105 - 13*y**4/21 - 179*y**2. Find l such that z(l) = 0.
-13, -2, -2/7, 0, 1/4
Let o be 9 + (1316/(-120) - -2). Let u(y) be the second derivative of 0*y**5 - 3*y - o*y**6 + 0*y**3 + 0*y**2 + 0 + 0*y**4. Factor u(l).
-l**4
Let g(n) be the second derivative of n**5/5 + 5*n**4/3 - 2*n + 4. Suppose g(v) = 0. Calculate v.
-5, 0
Let l = -4/3139 - -37696/21973. Solve 36/7 - 132/7*k - 9/7*k**4 + l*k**3 + 69/7*k**2 = 0 for k.
-3, 1/3, 2
Suppose 3 - 3*g**2 + 0*g**2 - 9*g - 6 - 3 = 0. What is g?
-2, -1
Suppose 0 = 31*k - 29*k - 4. Suppose -k*j - 32 = -10*j. Let -27*n**j + 19*n - 10 + 4 + 2*n - 8*n**3 + 33*n**2 - 13*n**3 = 0. Calculate n.
-1, 2/9, 1
Factor 201798 + 3*n**4 - 201798 - 187*n**3 + 10*n**3.
3*n**3*(n - 59)
Let d = -429 + 434. Let i(k) be the third derivative of 1/210*k**d + 0*k - 3*k**2 + 1/21*k**3 + 1/42*k**4 + 0. Let i(x) = 0. What is x?
-1
Let z = -26 + 29. Factor 14*f - 3*f - 5*f - 3*f**2 - 3*f**z.
-3*f*(f - 1)*(f + 2)
Suppose 0 = -3*t - 0 + 12. Suppose -2 = -p + o, 2*p - 4*o + t = 6. Solve 3*y**2 - 3*y**3 + 0*y**2 + 2*y**p = 0.
0, 3
Let i be (3/(-9) - 62/(-6)) + 2. Suppose 2*h + 2*h + 22 = n, -n + 2*h = -i. Find p, given that -3/4 + 3/4*p**n + 0*p = 0.
-1, 1
Suppose 301 = -6*y + 85. Let i be (-30)/9*y/30. Factor 0 - 4/13*f**3 - 2/13*f**2 + 0*f - 2/13*f**i.
-2*f**2*(f + 1)**2/13
Let y = -14655 - -73882/5. Let b = y - 121. Factor 8/5*p**2 + 0 + b*p**3 + 8/5*p.
2*p*(p + 2)**2/5
Let -16/7*w + 4/7*w**4 - 4/7*w**2 + 16/7*w**3 + 0 = 0. Calculate w.
-4, -1, 0, 1
Suppose 290*b - 18 = -n + 289*b, -3*b = 0. Factor n + 22/5*m**2 + 2/5*m**3 + 78/5*m.
2*(m + 3)**2*(m + 5)/5
Let q = -438 + 231. Let b = q - -210. Factor 0*w + 0 - 1/4*w**b - 1/4*w**2.
-w**2*(w + 1)/4
Find a such that -8/3*a**2 + 0 + 2*a**3 + 8/9*a = 0.
0, 2/3
Let c(v) = v. Let w(i) = 3*i**2 - 18*i + 12. Let g be (21/28)/(2/32). Suppose -j - g = j. Let q(o) = j*c(o) - w(o). Factor q(f).
-3*(f - 2)**2
Let j be -1 + 4/((-252)/(-93)). Let v = 8/7 - j. Suppose -2/3*c**5 + 2/3*c**3 + 0 + 0*c - 2/3*c**4 + v*c**2 = 0. Calculate c.
-1, 0, 1
Let j(y) = -16*y + 787. Let d be j(49). Let 1/2 - 1/2*p**2 - 1/2*p**d + 1/2*p = 0. Calculate p.
-1, 1
Let x = 7702/187 - 694/17. What is i in 0*i**3 - x*i**2 + 0 + 0*i + 1/11*i**4 = 0?
-2, 0, 2
Let m(t) be the first derivative of -t**3/3 + 7*t**2/2 + 8*t + 33. What is d in m(d) = 0?
-1, 8
Let i(u) be the third derivative of 18*u**2 + 0*u**6 + 0*u - 1/105*u**7 + 0 + 1/252*u**8 + 0*u**3 + 1/90*u**5 + 0*u**4. Suppose i(q) = 0. Calculate q.
-1/2, 0, 1
Let k(z) = 3*z**2 - 3*z + 6. Let u be k(5). Suppose -3*h - 82 = -5*f, 3*h - 2*h = -5*f + u. Factor 2*p + 52*p**4 - f*p**5 - 68*p**3 + 32*p**2 - 32 + 16 + 12.
-2*(p - 1)**4*(7*p + 2)
Let b be (-56)/7 + (-2 - 1). Let y be (12 + b)*1*3. What is w in -y*w**4 - 4*w**5 + 0*w**4 - w**4 = 0?
-1, 0
Let y be (-12)/(-22) - (-102)/(-187). Let o(x) be the third derivative of -1/300*x**5 + 0 - 1/30*x**3 - 1/60*x**4 - 4*x**2 + y*x. Factor o(c).
-(c + 1)**2/5
Factor -96/11 + 16/11*y + 2/11*y**2.
2*(y - 4)*(y + 12)/11
Solve 4*y**2 + 36 - 21*y + 27*y + 16*y - 2*y**2 = 0.
-9, -2
Let a(k) be the second derivative of k**7/135 + k**6/108 - k**5/135 - 12*k**2 + 29*k. Let z(m) be the first derivative of a(m). Determine u so that z(u) = 0.
-1, 0, 2/7
Let j(g) be the first derivative of g**8/84 - g**6/30 - 16*g**2 - 8. Let o(x) be the second derivative of j(x). Factor o(t).
4*t**3*(t - 1)*(t + 1)
Let k(y) = 7*y**5 - 36*y**4 + 245*y**3 + 298*y**2 + 5*y. Let b(v) = 10*v**5 - 55*v**4 + 367*v**3 + 446*v**2 + 7*v. Let d(a) = -5*b(a) + 7*k(a). Factor d(o).
-o**2*(o - 12)**2*(o + 1)
Let m = -28 - -86/3. Let k(x) be the first derivative of 2/5*x**5 + 1/3*x**6 - 1/2*x**4 - 4 + 0*x + 0*x**2 - m*x**3. Determine f, given that k(f) = 0.
-1, 0, 1
Let b be 1/(-1 + 0 - 31/(-30)). Let v be (15/18)/(b/18). Determine h so that 1/4*h**2 + 0 + v*h = 0.
-2, 0
Let t(f) = -245*f**3 - 144*f**2 - 16*f + 4. Let r(o) = -o**2 + o + 1. Let c = -57 + 53. Let l(j) = c*r(j) + t(j). Factor l(g).
-5*g*(7*g + 2)**2
Suppose -5 = 5*u - 25. Let v(q) be the second derivative of -1/30*q**u + 3*q + 0 + 0*q**2 - 1/25*q**5 + 2/15*q**3 + 1/75*q**6. Factor v(f).
2*f*(f - 2)*(f - 1)*(f + 1)/5
Let k(a) be the third derivative of 0 + 0*a + 5/24*a**4 + 1/12*a**5 - 5*a**3 + 11*a**2. Solve k(z) = 0.
-3, 2
Let i(t) = -16*t**3 + 63*t**2 - 501*t - 2159. Let n(l) = 9*l**3 - 31*l**2 + 251*l + 1079. Let a(y) = -4*i(y) - 7*n(y). What is h in a(h) = 0?
-3, 19
Let b(r) be the third derivative of 1/20*r**5 + 0 + 1/4*r**4 - 3/40*r**6 + 0*r + 18*r**2 - 1/70*r**7 + 0*r**3 + 1/112*r**8. Factor b(h).
3*h*(h - 2)*(h - 1)*(h + 1)**2
Let v be 4542/27 - 4/2. Let x = v + -166. Factor -2/9*b + 2/9*b**3 - x + 2/9*b**2.
2*(b - 1)*(b + 1)**2/9
Let s(v) = -12*v**5 - 123*v**4 - 213*v**3 + 15*v**2 + 54*v. Let c(m) = -m**4 + 2*m**2. Let f(r) = 9*c(r) + s(r). Suppose f(p) = 0. Calculate p.
-9, -2, -1/2, 0, 1/2
Let h(k) be the first derivative of k**4/30 - 4*k**3/15 + k**2/5 + 4*k/3 - 128. Factor h(o).
2*(o - 5)*(o - 2)*(o + 1)/15
Suppose -9 = -2*c + 35. Determine w so that -12*w**3 + 2 - 16*w**2 - 8 + c*w**2 - 15*w**2 + 27*w = 0.
-2, 1/4, 1
Let n(k) be the third derivative of -k**8/20160 - k**7/5040 + 13*k**5/60 + 2*k**2. Let g(x) be the third derivative of n(x). Factor g(i).
-i*(i + 1)
Factor -t**3 - 27*t + 0*t**3 - 2*t + 26*t - 4*t**2.
-t*(t + 1)*(t + 3)
Suppose 5*l = 7*l - 4, -2*k + 3*l = 6. Let i(y) be the third derivative of 0 + k*y**3 + 0*y**4 - 1/30*y**5 - 1/60*y**6 + 0*y + y**2. Factor i(n).
-2*n**2*(n + 1)
Let l be (-13)/(-26) + 9/6. Let n be 3 + ((-4)/(-8) - l/28). Let -4/7 + n*k - 3*k**2 - 7*k**3 = 0. What is k?
-1, 2/7
Let t be -2 + 3 + 1 + 3 + -5. Find z, given that 3*z**4 + 5*z**2 - 3*z - 8*z**2 + t*z + z**3 + 2*z**3 = 0.
-1, 0, 1
Let q = 426 + -423. Let u(c) be the first derivative of -25/3*c**q + 15*c**2 - 9*c - 7. Find g such that u(g) = 0.
3/5
Let z(w) = w**2 - 4*w - 5. Let l be ((-1)/(-3))/(3/63). Let h be z(l). Factor -j + j - 88*j**2 - 18*j**4 - 38*j**3 + h*j + 114*j**3.
-2*j*(j - 2)**2*(9*j - 2)
Let n(z) be the first derivative of -z**7/168 + 7*z**5/24 - 5*z**4/4 - 4*z**3/3 - 34. Let l(r) be the third derivative of n(r). Suppose l(y) = 0. What is y?
-3, 1, 2
Let r be (-1)/((-208)/64 + (-5)/(-20)). What is n in 1 - 2/3*n - r*n**2 = 0?
-3, 1
Suppose 6 = -2*k + l + 3*l, 2*k - 3*l = -2. Determine n, given that -393*n**4 - 5*n**3 - 2*n**5 + 383*n**4 - 3*n**k = 0.
-1, 0
Let w be -4*(-2 + 1)*(-5)/4. Let n(v) = -11*v**2 + 40*v - 21. Let f(l) = -72*l**2 + 260*l - 136. Let o(s) = w*f(s) + 32*n(s). Factor o(h).
4*(h - 2)*(2*h - 1)
Let d(r) be the third derivative of -r**6/450 + r**5/75 - r**4/30 - 7*r**3/2 - 10*r**2. Let q(c) be the first derivative of d(c). Find x, given that q(x) = 0.
1
Factor 0 + 2*l + 9/2*l**2 + 1/2*l**4 + 3*l**3.
l*(l + 1)**2*(l + 4)/2
Let i = 321 + -319. Let d(n) be the second derivative of -1/22*n**4 + 6*n + 4/11*n**i + 13/110*n**5 + 0 - 4/165*n**6 - 16/33*n**3. Find c, given that d(c) = 0.
-1, 1/4, 2
Let t = 177 - 174. Let f(u) be the first derivative of -9 + u**2 - 1/9*u**3 - t*u. Suppose f(m) = 0. What is m?
3
Suppose 4*f = 2