Factor 2/7*w**p + 2/7*w**3 + 0*w + 0.
2*w**2*(w + 1)/7
Solve 3*w**5 + 4*w + 12 - 14*w**2 + 11*w**4 + 332*w**3 - 335*w**3 - 13*w**2 = 0.
-3, -2, -2/3, 1
Factor 4*i**2 - 21*i + 7*i**3 + 32 - 8*i**3 + 4*i**2 - 14.
-(i - 3)**2*(i - 2)
Find g such that 108 - 765/2*g - 9/2*g**4 + 357/2*g**2 - 15/2*g**3 = 0.
-8, 1/3, 3
Suppose -5*q - 1 = -5*f + 4, 6 = 2*q. Suppose -2*u**f + 9*u**2 - 7 + 3*u + 1 + 2*u**4 - 3*u**4 - 3*u**3 = 0. Calculate u.
-2, -1, 1
Let o be (4/(-6))/((-6)/72). Factor 10*i**2 - 4 + o - 1 + 3*i**3 + 9*i - i**2.
3*(i + 1)**3
Let r(c) be the third derivative of 5*c**8/84 + 11*c**7/14 + 10*c**6/3 + 41*c**5/6 + 15*c**4/2 + 25*c**3/6 - 91*c**2. Factor r(v).
5*(v + 1)**3*(v + 5)*(4*v + 1)
Suppose 9*w = -7*w + 4048. Let m = w - 757/3. Factor 2*n - m*n**2 - 4/3.
-2*(n - 2)*(n - 1)/3
Let n(s) be the third derivative of -s**7/840 - s**6/120 - s**5/40 - s**4/24 - 4*s**3/3 + 14*s**2. Let y(a) be the first derivative of n(a). Factor y(i).
-(i + 1)**3
Let s = -10 - -9. Let f = 2 - s. Factor 4*v**3 - 11*v**f + 6*v**3 + v.
-v*(v - 1)*(v + 1)
Suppose -11*r = -49 - 61. Factor -5 + 0*x**2 - 8 - r*x + 1 - 2*x**2.
-2*(x + 2)*(x + 3)
Let k(s) = -s**3 + s**2 + 1. Let v(w) = 15*w**4 - 34*w**3 + 14*w**2 - 6. Let t(n) = 6*k(n) + v(n). Find b, given that t(b) = 0.
0, 2/3, 2
Let r(n) be the first derivative of -5*n**6/18 + n**5/3 + 15*n**4/4 + 55*n**3/9 + 10*n**2/3 - 140. Factor r(w).
-5*w*(w - 4)*(w + 1)**3/3
Let f = 4795 - 14209/3. Let h = 59 - f. Factor -a**2 + 0 - h*a - 1/3*a**4 - a**3.
-a*(a + 1)**3/3
Let d(c) be the third derivative of c**5/90 + c**4/18 - 8*c**3/9 - 4*c**2. Factor d(f).
2*(f - 2)*(f + 4)/3
Suppose 4 = 5*p + 2*s - 4*s, -2*p = 3*s + 6. Let t(n) be the third derivative of 8*n**2 + 0*n + n**3 - 1/3*n**4 + p + 1/30*n**5. Determine h so that t(h) = 0.
1, 3
Let f(v) = -23*v**3 + 52*v**2 + 37*v - 278. Let l = 30 + -33. Let s(h) = 8*h**3 - 17*h**2 - 12*h + 93. Let o(r) = l*f(r) - 8*s(r). What is c in o(c) = 0?
-2, 3
Let q be 1 - (-6)/(-4) - (-517)/94. Let -242 - 12*o + 103 + 119 - q*o**2 - 8*o = 0. Calculate o.
-2
Let m = 69 - 45. Let u be 6/(-126)*m/(-2). Let u*x - 2/7*x**2 + 0 = 0. Calculate x.
0, 2
Suppose -3 - 16*j + 11*j**3 + 2*j**3 + 7 - 4*j**2 + 3*j**3 = 0. Calculate j.
-1, 1/4, 1
Let q(a) = 10*a - 448. Let o be q(45). Determine m so that 0*m + 1/2 - 1/2*m**o = 0.
-1, 1
Let h = 79 + -67. Let p be (-2 - (-30)/h)*0. Factor 0 - 3/2*d**4 + p*d - d**2 - 7/2*d**3.
-d**2*(d + 2)*(3*d + 1)/2
Suppose 60*g - 63*g - 4*a = 0, -4*a = 5*g - 8. Let n(s) be the second derivative of 3*s**g - 7/10*s**5 - 20/3*s**3 + 8*s**2 - 5*s + 0 + 1/15*s**6. Factor n(r).
2*(r - 2)**3*(r - 1)
Suppose 39 = -0*w + 13*w. Determine v so that 2231*v**2 + 8*v**w - 4*v - 2231*v**2 - 4*v**5 = 0.
-1, 0, 1
Suppose 91*l = 89*l + 188. Let s = l - 91. Factor 0*y**2 + 0 + 2/5*y**4 + 0*y - 2/5*y**s.
2*y**3*(y - 1)/5
Let c be -7 + 6*(-121)/(-66) + 38/10. Factor -18/5 + 3*z**2 - c*z.
3*(z - 3)*(5*z + 2)/5
Suppose -8*p + 10 = -6. Factor 10*b**p - 3*b**2 - 4*b**4 - 3*b**2 + 3*b**4.
-b**2*(b - 2)*(b + 2)
Let z(o) = o**3 - 17*o**2 + 15*o + 16. Let r be z(16). Let w be ((r + 6)/(-1))/((-10)/5). Let -2/5*s**2 + 1/5*s**w + 0 + 1/5*s = 0. What is s?
0, 1
Let w(p) = 3*p**2 - 10*p - 7. Let a(r) = 3*r**2 - 12*r - 6. Let y(f) = -7*a(f) + 6*w(f). Factor y(b).
-3*b*(b - 8)
Let c be (-2)/(-10)*15 + (1 - 0). Let z(l) be the second derivative of 0 + 3/2*l**2 + 4*l + 0*l**c + 3/10*l**5 - l**3 - 1/10*l**6. Let z(t) = 0. Calculate t.
-1, 1
Factor 0 - 192/7*u - 3/7*u**3 - 48/7*u**2.
-3*u*(u + 8)**2/7
Let z(b) be the first derivative of 1/5*b**5 + 1/8*b**2 - 1/3*b**3 - 1/8*b**6 + 1/8*b**4 + 9 + 0*b. Suppose z(a) = 0. What is a?
-1, 0, 1/3, 1
Let r(g) be the third derivative of -g**9/12096 - g**8/1344 - g**7/504 - g**5/20 + 11*g**2. Let b(h) be the third derivative of r(h). Factor b(y).
-5*y*(y + 1)*(y + 2)
Let w be 21/14 - 2/(-4). Factor 55 + 4*j**2 - 5*j**w + 3*j - 51.
-(j - 4)*(j + 1)
What is w in 3*w**2 + 42*w + 41 + 23 - 25 = 0?
-13, -1
Let i(u) = -u**3 + 40*u**2 + 78*u + 252. Let w be i(42). What is s in w + 4/9*s**3 - 4/9*s**2 + 0*s = 0?
0, 1
Let s be 1 - ((0 - -1) + -4). Find j such that 220*j**2 - 125*j**5 + 15 + 40*j + 25*j**s - 15 + 123*j**3 + 207*j**3 = 0.
-1, -2/5, 0, 2
Let t(n) be the third derivative of n**6/900 - n**5/100 - 3*n**3 + 7*n**2. Let w(l) be the first derivative of t(l). Factor w(a).
2*a*(a - 3)/5
Let p(d) be the second derivative of -d**2 - 44*d + 0 - 49/6*d**4 + 14/3*d**3. Solve p(g) = 0.
1/7
Let f(i) be the third derivative of -i**7/50 + i**6/100 + 7*i**5/25 - i**4/5 - 59*i**2 + i. Determine g, given that f(g) = 0.
-2, 0, 2/7, 2
Let z be (-2)/(-7) + 12/7. Let j be (-21)/(-6) - (0 - 9/(-6)). Factor 0 - z*v + 0*v - 2 + 1 - v**j.
-(v + 1)**2
Let z be (16/(-24) + (-50)/(-90))*-6. Factor 0 - z*g**2 - 4/3*g.
-2*g*(g + 2)/3
Suppose 2*r = -2*n + 1100, 4*n - 201 = 2*r - 1277. Let y be r/208 + 6/16. Solve -2/15*g**5 - 8/15*g**2 + 0 - 4/5*g**y - 2/15*g - 8/15*g**4 = 0 for g.
-1, 0
Let o = -48 + 52. Determine a so that o*a**4 + a**3 + 3*a + 4 - a - 28*a**2 + a**3 + 16*a**2 = 0.
-2, -1/2, 1
Let w = 149/302 + 1/151. Let z(q) be the first derivative of 2*q + 12 - w*q**2 - 5/3*q**3 - 1/2*q**4. Factor z(m).
-(m + 1)*(m + 2)*(2*m - 1)
Suppose -166*z + 168*z = -8, 0 = -p - 5*z - 20. Factor p + 2/17*a**3 + 2/17*a - 4/17*a**2.
2*a*(a - 1)**2/17
Let q(n) = 5*n + 33. Let m be -12 + 5 - (-6 + 5). Let j be q(m). Suppose 25/2*v + 5/6*v**j + 15/2 + 35/6*v**2 = 0. What is v?
-3, -1
Let p(m) be the first derivative of -3*m**7/70 - m**6/20 - m**5/60 - 19*m**2 + 8. Let k(x) be the second derivative of p(x). Determine o, given that k(o) = 0.
-1/3, 0
Let n(g) be the third derivative of g**7/5040 + g**6/480 - g**5/60 + g**4/3 - 23*g**2. Let j(u) be the second derivative of n(u). Factor j(h).
(h - 1)*(h + 4)/2
Find z, given that 9*z**2 - 5*z**3 - 3*z**4 - 4*z + 3*z**3 + 4*z**3 - 8*z + 0*z**4 + 4 = 0.
-2, 2/3, 1
Let x(c) = -c**2 - 6*c - 5. Let v be x(-4). Suppose -v*n + 8 = n. Factor 2*t**5 + 4*t**2 - 1 + 2*t - n*t**4 - 1 - 11*t**3 + 7*t**3.
2*(t - 1)**3*(t + 1)**2
Let b(x) be the second derivative of -49*x**6/120 + 21*x**5/20 - 9*x**4/8 - 7*x**3/2 + 28*x. Let a(l) be the second derivative of b(l). Factor a(i).
-3*(7*i - 3)**2
Let h(n) be the first derivative of -n**6/10 - 3*n**5/25 + 9*n**4/20 + n**3 + 3*n**2/5 - 77. Factor h(f).
-3*f*(f - 2)*(f + 1)**3/5
Let a(k) be the first derivative of k**3/4 + 135*k**2/8 + 129*k/2 - 409. Let a(u) = 0. Calculate u.
-43, -2
Let v(w) be the second derivative of 2/9*w**4 + 0 + 4/9*w**3 - 4*w - 1/10*w**5 + 0*w**2 + 1/63*w**7 - 2/45*w**6. Factor v(q).
2*q*(q - 2)**2*(q + 1)**2/3
Let c(b) be the first derivative of -2*b**5/15 - 7*b**4/6 - 16*b**3/9 + 16*b**2/3 + 83. Solve c(v) = 0 for v.
-4, 0, 1
Let i be (-11)/(22/(-12)) - 1. Suppose 5*z + i*x + 5 = 0, 2*x = -8*z + 3*z + 4. Factor -3 - y + 4*y**3 - y**3 - 5*y + 3*y + 3*y**z.
3*(y - 1)*(y + 1)**2
Let y = -21 - -43/2. Suppose -51*w = -49*w - 4. Let -y*s**w + 0*s**3 + 0 + 1/4*s + 1/2*s**4 - 1/4*s**5 = 0. What is s?
-1, 0, 1
Let 0 - 1/2*d**2 - d = 0. Calculate d.
-2, 0
Let l(j) = j**4 + j**3 + j**2 - 1. Let w(q) = 5*q**4 - 7*q**3 - 11*q**2 + 16*q + 15. Let u(s) = -l(s) + w(s). Factor u(x).
4*(x - 2)**2*(x + 1)**2
Let x(c) = -c**2 - c. Suppose -8*y - 5 = -3*y. Let j(u) = u**3 + 5*u**2 + 2*u - 2. Let h(f) = y*j(f) - 5*x(f). Determine r, given that h(r) = 0.
-1, 2
Let s(u) = 4*u**2 + 717*u + 9375. Let l(p) = -p**2 - 238*p - 3125. Let o(k) = 11*l(k) + 4*s(k). Suppose o(j) = 0. What is j?
-25
Let h be (3/3)/((-1)/10*-2). Factor -405*w**2 + 410*w**2 + 3*w + 7*w + h.
5*(w + 1)**2
Let m be (0 + 6/(-20))/(312/(-130)). Let o(i) be the first derivative of 0*i + m*i**2 - 1/6*i**3 + 1/16*i**4 + 1. Determine k so that o(k) = 0.
0, 1
Let v = -902 + 905. Let q(x) be the first derivative of 1/8*x**2 + 5 + 0*x + 1/24*x**v. Suppose q(c) = 0. Calculate c.
-2, 0
Let d(h) be the first derivative of h**6/6 + 6*h**5/5 + h**4 - 8*h**3 - 16*h**2 - 206. Solve d(v) = 0 for v.
-4, -2, 0, 2
Let z(n) be the first derivative of -n**5/50 + n**4/30 + 2*n**3/5 - 11*n + 23. Let w(m) be the first derivative of z(m). Factor w(t).
-2*t*(t - 3)*(t + 2)/5
Let h(c) be the first derivative of c**5/105 - c**4/14 + 4*c**3/21 - 6*c**2 + 12. Let y(j) be the second derivative of h