*w. Factor s(i).
3*(i + 2)*(i + 5)**2
Let n be (2*-1 + 4)/((-26)/(-377)). Factor n*x**2 + 6*x**3 + 4*x - 52*x**2 + 33*x**2.
2*x*(x + 1)*(3*x + 2)
Let a(t) be the first derivative of -4 + 7*t + 3*t**2 + 3/10*t**6 - 3/20*t**5 + 1/2*t**3 - 5/4*t**4. Let v(z) be the first derivative of a(z). Solve v(h) = 0.
-1, -2/3, 1
Suppose o**5 - 2*o**2 + 3*o + 25*o**3 + 26*o**3 - 3*o - 46*o**3 - 4*o**4 = 0. Calculate o.
0, 1, 2
Let u(o) be the first derivative of -o**6/30 + 6*o**5/25 - 3*o**4/5 + 2*o**3/3 - 3*o**2/10 - 99. Solve u(b) = 0 for b.
0, 1, 3
Let j(w) be the second derivative of -5*w - 1/2*w**2 + 1/40*w**6 + 0*w**5 - 1/8*w**4 + 0*w**3 + 0. Let q(v) be the first derivative of j(v). Factor q(r).
3*r*(r - 1)*(r + 1)
Suppose 15 = w - 5*g, -4*g = -0*w - w + 12. Suppose w = 5*n + 4*q + 10, 0 = 5*q - q + 20. Factor -2 - 1/2*t**2 + n*t.
-(t - 2)**2/2
Let g(n) be the second derivative of -n**7/28 + n**6/10 + 21*n**5/40 - n**4 - 3*n**3 + 6*n + 4. Determine k so that g(k) = 0.
-2, -1, 0, 2, 3
Let x = -47943/4 + 11986. Factor -3/8*o - x - 1/8*o**2.
-(o + 1)*(o + 2)/8
Let o(j) = 5*j**4 + 27*j**3 - 81*j**2. Let y(x) = -x**4 - 7*x**3 + 20*x**2. Let c(s) = -4*o(s) - 18*y(s). Find z such that c(z) = 0.
0, 3, 6
Suppose 4*w - 15 = -3. Suppose -a + 22 = 5*r - 5*a, w*a + 5 = -2*r. Factor -27/4 - 3/4*j**r + 9/2*j.
-3*(j - 3)**2/4
Let a(j) be the second derivative of -j**7/231 + 28*j**6/165 - 241*j**5/110 + 215*j**4/33 + 1700*j**3/33 + 1000*j**2/11 - j - 11. Factor a(n).
-2*(n - 10)**3*(n + 1)**2/11
Let d(n) be the second derivative of n**6/75 - 9*n**5/10 + 45*n**4/2 - 225*n**3 + 205*n. Factor d(i).
2*i*(i - 15)**3/5
Let h be -1*(-5)/(-14)*(-4 - (-4)/5). Suppose h - 8/7*a + 2/7*a**3 - 2/7*a**2 = 0. Calculate a.
-2, 1, 2
Let u(d) be the second derivative of d**5/50 - d**4/60 - 2*d**3/15 + 7*d**2 + 9*d. Let o(l) be the first derivative of u(l). Factor o(f).
2*(f - 1)*(3*f + 2)/5
Let v = -11105 - -11108. Determine h so that -v + 1/2*h + 1/2*h**2 = 0.
-3, 2
Determine x so that 8/7*x + 24/7 - 2/7*x**2 = 0.
-2, 6
Let q(f) be the third derivative of f**7/56 + 2*f**6/15 + f**5/10 + 5*f**4/4 + 34*f**2. Let r(a) be the second derivative of q(a). Factor r(j).
3*(j + 2)*(15*j + 2)
Let x(j) = -13*j**3 - 178*j**2 + 3044*j - 5408. Let n(g) = 8*g**3 + 119*g**2 - 2030*g + 3605. Let r(s) = -8*n(s) - 5*x(s). Factor r(q).
(q - 30)**2*(q - 2)
Factor o - 1/2*o**2 + 4.
-(o - 4)*(o + 2)/2
Let q(r) be the second derivative of -3/10*r**6 - 7*r - 2/7*r**7 + 0 + 0*r**4 + 3/20*r**5 + 0*r**3 + 0*r**2. Factor q(h).
-3*h**3*(h + 1)*(4*h - 1)
Find v, given that 2/7*v**2 - 4*v + 14 = 0.
7
Let t be (52/6)/(18/27). Suppose l + 2*g = 11, -5*g = -l - t - 4. Let -l - 3/2*x + 3/2*x**3 + 3*x**2 = 0. Calculate x.
-2, -1, 1
Let h(j) be the first derivative of -5*j**3/3 - 45*j**2/2 - 40*j + 28. Factor h(b).
-5*(b + 1)*(b + 8)
Let q(t) be the second derivative of t**7/105 - 2*t**6/25 - 11*t**5/50 + 4*t**4/5 + 28*t**3/15 + 141*t - 2. Determine m, given that q(m) = 0.
-2, -1, 0, 2, 7
Factor 244*m**2 - 256 + 96*m + 12*m**4 - 1/2*m**5 - 191/2*m**3.
-(m - 8)**3*(m - 1)*(m + 1)/2
Let l(u) be the first derivative of 3/8*u**2 + 12 - 3/8*u - 1/8*u**3. Factor l(w).
-3*(w - 1)**2/8
Let c(y) be the second derivative of y**7/3780 + y**6/180 - 7*y**5/180 + 4*y**4/3 - y**3/3 + 2*y + 7. Let h(z) be the third derivative of c(z). Factor h(f).
2*(f - 1)*(f + 7)/3
Let g(a) = -6*a + 14. Let r be g(2). Let -2*z**5 + 12 + 21*z**3 - 18*z**4 + 5*z**5 + 3*z**4 + 3*z**r - 24*z = 0. What is z?
-1, 1, 2
Let m(k) = 6*k - 25. Let j be m(10). Let a = j - 33. Factor -1/2*d**a - d + 0.
-d*(d + 2)/2
Let z = -160 + 160. Factor -1/2*y + 11/2*y**4 + z + 2*y**5 + 1/2*y**2 + 9/2*y**3.
y*(y + 1)**3*(4*y - 1)/2
Let n(a) be the third derivative of a**8/168 + a**7/105 - a**6/20 - a**5/30 + a**4/6 + 5*a**2 - 1. What is m in n(m) = 0?
-2, -1, 0, 1
Let q(k) be the third derivative of -k**6/480 + k**5/48 + 11*k**4/48 + 2*k**3/3 + 12*k**2 + k. Factor q(c).
-(c - 8)*(c + 1)*(c + 2)/4
Factor 2/11*r**4 - 8/11*r**3 - 14/11 - 40/11*r - 36/11*r**2.
2*(r - 7)*(r + 1)**3/11
Solve -20*x**2 + 0*x + 73/2*x**4 + 2*x**5 + 0 - 71*x**3 = 0.
-20, -1/4, 0, 2
Let w(r) = -32*r**2 + 58*r**2 - 26*r**2 + r**4. Let k(a) = 3*a**5 + 15*a**4 - 3*a**3 - 3*a**2. Let b(t) = -k(t) + 12*w(t). Suppose b(c) = 0. Calculate c.
-1, 0, 1
Let i = 333/1988 + -5/5964. Factor -1/6 + 0*r + i*r**2.
(r - 1)*(r + 1)/6
Let u = -5418/5 - -21677/20. Find s, given that -u*s**4 - 6 + 9/4*s**3 - 15/2*s**2 + 11*s = 0.
2, 3
Let t be (-35)/(-4) - (-1 + (-12)/(-16)). Suppose 0 = 2*j + 3*j - 5*h, 5*j - 2*h = t. Factor 0*w - 3/4*w**j + 0 + 0*w**2.
-3*w**3/4
Factor 5/2*p**4 + 15/2*p**3 + 5/2*p**2 - 5 - 15/2*p.
5*(p - 1)*(p + 1)**2*(p + 2)/2
Let n(k) = -36*k**5 - 16*k**4 + 28*k**3 - 24*k**2 + 8*k + 20. Let g(s) = s**5 + s**4 + s**3 - s**2 - 1. Let w(j) = 20*g(j) + n(j). Suppose w(x) = 0. What is x?
-2, 0, 1/4, 1
Suppose -5*z + 113 = 78. Suppose -j + z = j - 3*f, 0 = -5*j + 4*f + 14. Factor -5/2*w - 1/2*w**3 - 1 - j*w**2.
-(w + 1)**2*(w + 2)/2
Let r(m) = m**4 - m**2 - m - 1. Let c(z) = -z**5 + 3*z**4 - 21*z**3 + 19*z**2 + 25*z - 19. Let v(o) = c(o) + 5*r(o). Factor v(d).
-(d - 3)*(d - 2)**3*(d + 1)
Let 2/7*y**2 + 60/7 - 26/7*y = 0. What is y?
3, 10
Let r(l) be the third derivative of l**6/24 + 2*l**5 + 315*l**4/8 + 405*l**3 - 436*l**2. Let r(u) = 0. What is u?
-9, -6
Let n = 12 - -11. Factor n*d**2 - 2*d**4 - 21*d**2 - 3*d**3 + d**5 + 2*d**3.
d**2*(d - 2)*(d - 1)*(d + 1)
Suppose -3*u = 8*u - 55. Let f be 8/6*u/10. Determine a so that 0*a + 0 + 0*a**2 + f*a**3 = 0.
0
Suppose -x = -3*x. Let k(b) = -b + 7. Let w be k(x). What is o in -6*o**2 - 4*o**3 + 0*o**3 - o**3 + w*o**3 + 4*o = 0?
0, 1, 2
Suppose 0 = 3*t + t - 12. Let r = 44 + -44. Factor -1/2*o**4 + r - 2*o**2 - 2*o**t + 0*o.
-o**2*(o + 2)**2/2
Let w(y) be the second derivative of -y**7/70 + y**6/40 + 3*y**5/20 - 5*y**4/8 + y**3 - 6*y**2 + 14*y. Let r(p) be the first derivative of w(p). Factor r(v).
-3*(v - 1)**3*(v + 2)
Let m(i) be the third derivative of -i**7/1365 + i**6/130 + 5*i**5/78 + 3*i**4/26 + i**2 + 136. Solve m(o) = 0 for o.
-2, -1, 0, 9
Let n(s) = -s**5 - s**4 - 2*s**3 + s**2 + 2*s. Let o(v) = -10*v**5 - 106*v**4 + 1416*v**3 - 6644*v**2 - 8168*v. Let l(q) = 12*n(q) - o(q). Factor l(r).
-2*r*(r - 16)**3*(r + 1)
Let w(l) = -10*l**2 - 19*l + 51. Let m(b) = 2*b**2 + 4*b - 10. Suppose -7*a - 32 + 4 = 0. Let f(j) = a*w(j) - 22*m(j). Factor f(u).
-4*(u - 1)*(u + 4)
Suppose u + 0*n - 5*n + 15 = 0, 5*u = -3*n + 65. Suppose 5*s = u*s - 10. Suppose 2/7*g**s - 6/7*g + 4/7 = 0. What is g?
1, 2
Suppose -2*f = 3 - 13. Let g be (12 + 3)*1/f. Factor -2/7*u**2 - 2/7*u**g + 0 + 0*u.
-2*u**2*(u + 1)/7
Let m be 13 + 0 - 128/16. Let a(r) be the third derivative of -1/30*r**m + 0 + 1/12*r**4 + 0*r**3 + 2*r**2 + 0*r. Find u such that a(u) = 0.
0, 1
Factor 3/2*n**2 - 175/2 - 45/2*n + 1/2*n**3.
(n - 7)*(n + 5)**2/2
Let o(d) be the second derivative of 11*d**5/40 + 13*d**4/24 - 5*d**3/3 - d**2 + 13*d + 4. Factor o(l).
(l - 1)*(l + 2)*(11*l + 2)/2
Solve 0*t + 2/3*t**5 - 4/3*t**4 - 8/3*t**3 + 0 + 16/3*t**2 = 0.
-2, 0, 2
Let d = 34637/9 - 3837. Find i such that d*i - 608/9*i**4 + 128/9*i**5 - 482/9*i**2 - 8/9 + 920/9*i**3 = 0.
1/4, 2
Let p(j) be the second derivative of 24*j - 1/9*j**3 + 1/18*j**4 - 2/3*j**2 + 0. Solve p(b) = 0 for b.
-1, 2
Let m be (9/(-603)*0)/((-1 - 1)/(-2)). Solve 0 + 1/4*w + m*w**2 - 1/4*w**3 = 0 for w.
-1, 0, 1
Let u(k) = -2*k**2 - k - 1. Let w(m) = 805*m**2 + 500*m + 60. Let b(c) = 20*u(c) - w(c). Suppose b(s) = 0. What is s?
-4/13
Let c(r) = r**3 + 12*r**2 + 9*r - 19. Let x be c(-11). Factor -19*l**x + 65*l**4 - 5*l**2 - 25*l**5 + 262 - 26*l**3 + 10*l - 262.
-5*l*(l - 1)**3*(5*l + 2)
Suppose -48 = 4*x - 20*x. Let 6/13*i - 4/13*i**2 + 6/13*i**4 - 2/13 - 4/13*i**x - 2/13*i**5 = 0. Calculate i.
-1, 1
Let t(k) = 2*k**2 - k + 3. Let q(l) = -12*l**2 + 18*l - 20. Let i(m) = q(m) + 8*t(m). Suppose i(z) = 0. What is z?
-2, -1/2
Let w(x) = 5*x**3 - 7*x**2 - 22*x + 2. Let z(u) = 85*u**3 - 120*u**2 - 370*u + 35. Let j(k) = 35*w(k) - 2*z(k). Solve j(h) = 0 for h.
-2, 0, 3
Let v(h) be the second derivative of 4/3*h**4 - 16/3*h**3 - 2/15*h**6 - 3*h + 2/5*h**5 + 0 + 0*h**2. Find j, given that v(j) = 0.
-2, 0, 2
Suppose -2/3*b**3 + 0 - 1/3*b**5 - 4/3*b**4 + 4/3*b**2 + b = 0