 + t**2 - t - t**2 + 2 = 0. Calculate t.
-2, 1
Let 2*y**2 + 130 + 3*y - 102 + 0*y**2 - 21*y = 0. What is y?
2, 7
Let s(d) be the first derivative of 1/2*d**3 + 3/32*d**4 - 26 - 27/4*d - 9/16*d**2. Factor s(g).
3*(g - 2)*(g + 3)**2/8
Suppose 6*u - 2*u - 80 = 0. Factor -4*y - u*y**3 + 6*y**4 + 18*y**2 + 141 - 141.
2*y*(y - 2)*(y - 1)*(3*y - 1)
Let v be 9/(-15) + 1107/495. Factor 8/11 - 2/11*x**3 - v*x + 12/11*x**2.
-2*(x - 4)*(x - 1)**2/11
Let o(c) be the second derivative of -1/6*c**4 + 1/15*c**6 + 0 - 1/10*c**5 + 0*c**3 + 1/21*c**7 + 0*c**2 - 12*c. Factor o(z).
2*z**2*(z - 1)*(z + 1)**2
Let i(n) be the third derivative of n**6/160 + 13*n**5/60 + 65*n**4/96 + 2*n**3/3 + 13*n**2 - 3*n. Factor i(t).
(t + 1)*(t + 16)*(3*t + 1)/4
Let u(g) be the first derivative of g**6/200 + g**5/50 - g**4/40 - g**3/5 + 5*g**2/2 - 8. Let w(h) be the second derivative of u(h). Factor w(l).
3*(l - 1)*(l + 1)*(l + 2)/5
Let t(h) be the second derivative of 2/15*h**6 + 1/4*h**2 - 3/8*h**4 - 1/20*h**5 + 0 - 6*h - 5/24*h**3 + 3/56*h**7. Let t(a) = 0. Calculate a.
-1, 2/9, 1
Let d = -757 - -15901/21. Let l = 8/7 + d. What is i in -l*i - 4/3*i**2 + 4/3 + 4/3*i**3 = 0?
-1, 1
Suppose t - 3 - 3 = -4*c, 70 = 3*t - c. Factor 2 + 21*q**3 - 3*q + 4*q**2 - t*q**3 - 2*q.
-(q - 2)*(q - 1)**2
Let o = -23620 - -118262/5. Factor 144/5*w + o + 32/5*w**2.
2*(4*w + 9)**2/5
Let c(o) be the first derivative of o**5/5 + 2*o**4 + 13*o**3/3 + 3*o**2 + 894. Find l, given that c(l) = 0.
-6, -1, 0
Let g(n) be the first derivative of 2*n**3/3 - 8*n**2 - 18*n + 170. Factor g(x).
2*(x - 9)*(x + 1)
Suppose -3*x = -790 + 781. Determine n, given that 1/3 - n**x + n - 1/3*n**2 = 0.
-1, -1/3, 1
Let k(t) = -t**4 + t**3 + t**2 + t - 1. Let b = -30 + 25. Let q(v) = 4*v**4 - 5*v**3 - 4*v**2 - 5*v + 5. Let p(g) = b*k(g) - q(g). Factor p(j).
j**2*(j - 1)*(j + 1)
Determine o so that o**5 + 4*o**5 - 8*o + 20*o + 75*o**3 - 35*o**4 + 9*o**2 - 74*o**2 + 8*o = 0.
0, 1, 4
Suppose 730*y - 731*y - 8 = 0, 0 = -5*b + 10*y + 90. Suppose 0 - 4*x**b - 1/8*x**4 + 16*x - 7/4*x**3 = 0. What is x?
-8, 0, 2
Suppose -4*x + 9 = -7. Let g(p) be the first derivative of 2/45*p**5 + 1/9*p**x + 2/9*p - 1/27*p**6 - 3 - 4/27*p**3 - 1/9*p**2. Factor g(f).
-2*(f - 1)**3*(f + 1)**2/9
Suppose 4*q - 9 = -2*d + 3*q, -2*q = -5*d. Factor -14 - 24*v + v**2 - 2*v**3 - 7*v**2 - 6*v**d - 2.
-2*(v + 2)**3
Let o = 1457 + -1454. Factor 0*h**2 - 2/3*h**4 + 0*h + 0 + 2/3*h**o.
-2*h**3*(h - 1)/3
Suppose -d + 4*m = -2*d + 16, -5*m + 20 = 0. Suppose 2*c = -d*c. Factor c - 3*k + 1 + 0 + k + k**2.
(k - 1)**2
Let t(s) = -s**2 - 2*s + 2*s - 12*s + 10*s**2. Let b(l) = 3*l**2 + 0*l - l**2 - 3*l. Let w(o) = -15*b(o) + 4*t(o). Factor w(q).
3*q*(2*q - 1)
Let j(w) be the first derivative of -w**3/2 - 12*w**2 - 72*w + 269. Factor j(v).
-3*(v + 4)*(v + 12)/2
Suppose -4*u = 20, 6*a - a = -2*u + 5. Find o, given that -16 - 15 + 0*o**a + 6*o**2 - 2*o**3 - 6*o + 33 = 0.
1
Suppose 1/7*u**2 + 5776/7 - 152/7*u = 0. Calculate u.
76
Factor 4 - 2*z + 1/4*z**2.
(z - 4)**2/4
Let -3/8*c**2 + 0 - 3/4*c**3 + 3/4*c + 3/8*c**4 = 0. What is c?
-1, 0, 1, 2
Let v = -331 - -334. Factor 5/11*l**2 + 0 + 6/11*l + 1/11*l**v.
l*(l + 2)*(l + 3)/11
Let c(u) = 3*u**3 + 3*u**2 + 7*u + 7. Let x(k) = -4*k**2 + 2 - k - 5*k + 2*k**2 - 8 - 2*k**3. Let f(g) = 6*c(g) + 7*x(g). Let f(m) = 0. Calculate m.
-1, 0
Let t(d) = 5*d**3 + 24*d**2 - 5*d - 24. Let v(r) = 14*r**2 - 16 - 5*r**2 - 3*r + 3*r**3 + 0*r**2 + 7*r**2. Let h(s) = -5*t(s) + 7*v(s). Factor h(m).
-4*(m - 1)*(m + 1)*(m + 2)
Let l = -20 + 22. Solve 29 + 16*b + b**2 - 29 + 3*b**l = 0 for b.
-4, 0
Suppose 9/2 - 21/2*r + 15/2*r**2 - 3/2*r**3 = 0. What is r?
1, 3
Let o(x) be the first derivative of -24*x**5/5 - 77*x**4/2 - 278*x**3/3 - 98*x**2 - 48*x + 43. Determine l so that o(l) = 0.
-4, -1, -3/4, -2/3
Let s(r) be the first derivative of -2*r**3/21 + 9*r**2/7 + 20*r/7 - 119. Find b, given that s(b) = 0.
-1, 10
Let b(r) = -9*r**4 + 146*r**3 + 742*r**2 + 1421*r + 13. Let s(p) = -4*p**4 + 72*p**3 + 372*p**2 + 710*p + 6. Let v(d) = -6*b(d) + 13*s(d). Factor v(j).
2*j*(j + 4)**2*(j + 22)
Let l(k) be the second derivative of -5*k**7/126 - 4*k**6/9 - 23*k**5/12 - 35*k**4/9 - 10*k**3/3 + 266*k. Solve l(o) = 0 for o.
-3, -2, -1, 0
Let a(y) = -4*y**4 + 32*y**3 - 82*y**2 + 79*y - 25. Let n(u) = 3*u**4 - 30*u**3 + 80*u**2 - 78*u + 25. Let h(s) = 4*a(s) + 5*n(s). Let h(f) = 0. What is f?
-25, 1
Let w = -5863 + 29459/5. Factor 2/5*a**3 + w - 4*a**2 + 24/5*a.
2*(a - 6)**2*(a + 2)/5
Let d be (6/(-5))/(3/15). Let t = d - -9. Let -1/5*m**2 + 0 - 1/5*m**t + 0*m = 0. Calculate m.
-1, 0
Suppose -43*k + 47*k = 32. Suppose -33*s - k = -37*s. Factor 0 + 2*m**s - 4/7*m.
2*m*(7*m - 2)/7
Factor 2749 - 1079 + 5*p**3 + 2640*p + 41*p**2 - 120*p**2 - 156*p**2 + 1210.
5*(p - 24)**2*(p + 1)
Factor 0 + 0*f**2 + 0*f - 15/4*f**4 - 9/2*f**3 - 3/4*f**5.
-3*f**3*(f + 2)*(f + 3)/4
Let 88*p**4 - 156*p**4 + 64 + 400*p**3 - 489*p**2 - 279*p**2 + 448*p = 0. Calculate p.
-2/17, 2
Suppose 2*h = q + 21, 5*h - 8*q = -13*q + 60. Suppose -r = g - 2, -3*g = -2*r + h - 7. Factor 7/4*p**3 + g + 0*p + 3/4*p**5 + 2*p**4 + 1/2*p**2.
p**2*(p + 1)**2*(3*p + 2)/4
Let r(b) be the first derivative of -2/3*b**3 - 18*b - 8 - 6*b**2. Factor r(j).
-2*(j + 3)**2
Determine o, given that 3/5*o**2 - 186/5*o + 2883/5 = 0.
31
Let m be (-650)/(-260)*16/10. Determine y, given that -1/2*y**m + 1/2*y**3 + 0 + 0*y**2 + 0*y = 0.
0, 1
Let m(d) be the second derivative of 1/3*d**3 + 0 + 0*d**2 - 8*d - 1/6*d**4. Factor m(z).
-2*z*(z - 1)
Suppose 5*a - 5*s = 20, 5*s = 2*a - 6 - 5. Find l, given that -6*l - 9*l**2 + 7*l**4 + 2*l**4 + 3*l**5 + 3*l**3 + 0*l**a = 0.
-2, -1, 0, 1
Let s(f) be the second derivative of f**4/6 + 34*f**3/3 + 33*f**2 + 232*f - 3. Find t such that s(t) = 0.
-33, -1
Factor -2/9*z**3 - 40/9*z**2 - 4 - 74/9*z.
-2*(z + 1)**2*(z + 18)/9
Let x(m) be the third derivative of 0*m**3 + 0*m**5 + 0*m**7 + 1/24*m**4 + 0*m + 0 - 6*m**2 + 1/336*m**8 - 1/60*m**6. Factor x(b).
b*(b - 1)**2*(b + 1)**2
Let l = 17 + -15. Suppose l*n - 3*s = 2*s + 35, 5*s + 20 = -n. Let -3*i**2 - i**2 - i**2 + 0*i**2 + n = 0. What is i?
-1, 1
Let s(p) be the first derivative of p**7/840 - p**6/480 - p**5/80 + p**4/96 + p**3/12 - 3*p**2/2 - 3. Let f(x) be the second derivative of s(x). Factor f(v).
(v - 2)*(v - 1)*(v + 1)**2/4
Let d = -87 - -106. Let d - 24*b - 28 - 4*b**2 - 23 = 0. Calculate b.
-4, -2
Let 4/3*y**3 - 40/3*y**2 + 128/3*y - 128/3 = 0. What is y?
2, 4
Suppose 0 = -2*g + 21 + 7. Factor 4*w - g*w**3 + w + 9*w**3.
-5*w*(w - 1)*(w + 1)
Let o(i) = -i**4 - i**3 - 9*i**2 - 11*i - 2. Let c(g) = -g**4 - g**3 - g - 1. Let x(p) = -10*c(p) + 5*o(p). Factor x(v).
5*v*(v - 3)*(v + 1)*(v + 3)
Let n(r) = -13*r**3 - 24*r**2 + 16*r + 88. Let z(k) = 2*k**3 + k**2 + k - 2. Let s(j) = n(j) + 4*z(j). Suppose s(y) = 0. What is y?
-4, -2, 2
Suppose -3*d + 339 = -3*c, 5*c = -4*d - 184 - 417. Let o = c + 825/7. Let 0 + 4/7*t + 4/7*t**3 + o*t**4 - 2*t**2 = 0. What is t?
-2, 0, 1/3, 1
Let k be -3 + 3 + 6 + 3. Suppose f + k = 4*f. Factor -f*d**2 + 2*d**2 + d - d**2 - 3*d**3.
-d*(d + 1)*(3*d - 1)
Let c(h) be the third derivative of -h - 1/50*h**6 + 0*h**3 + 2/525*h**7 + 1/10*h**4 - 1/75*h**5 + 0 - 3*h**2. Factor c(p).
4*p*(p - 3)*(p - 1)*(p + 1)/5
Let p(o) be the third derivative of 0 - 3/28*o**5 + 1/168*o**6 + 1/294*o**7 + 18/7*o**3 - 1/2352*o**8 + 0*o**4 + 23*o**2 + 0*o. Factor p(c).
-(c - 3)**3*(c + 2)**2/7
Let m(g) be the second derivative of g**4/66 + 14*g**3/33 - 15*g**2/11 - 3*g - 15. What is a in m(a) = 0?
-15, 1
Let v(r) be the first derivative of -r**5/20 - r**4/4 - r**3/2 - 3*r**2 + 18. Let z(f) be the second derivative of v(f). Factor z(p).
-3*(p + 1)**2
Let v(j) be the first derivative of 2*j**6/27 - 7*j**5/15 + j**4/36 + 23*j**3/9 + 31*j**2/18 - 4*j/3 + 179. Suppose v(w) = 0. What is w?
-1, 1/4, 3, 4
Let k(q) be the third derivative of -q**8/504 + 19*q**7/315 - 4*q**6/15 + 14*q**2 - 2*q. Factor k(c).
-2*c**3*(c - 16)*(c - 3)/3
Let t(w) = -w**2 + 3*w + 4. Let v be 4/14*(4 - -3). Let m be v/(-5) - (-64)/10. Let q(f) = 3*f + 3. Let i(k) = m*q(k) - 5*t(k). Let i(p) = 0. Calculate p.
-1, 2/5
Suppose -73 - 83 = -23*i - 110. Solve 22/5*b**i + 14*b + 10 + 2/5*b**3 = 0 for b.
-5, -1
Let o be (-128)/(-12) + 4/(-6). Let j be (-12)/(-5) + -2 - (-36)/o. Fa