t y(w) = 2*b(w) - 11*f(w). Factor y(d).
d**2*(d - 1)
Let q(p) = -p + 14. Let s be q(12). Factor -15*r - 61*r + 12*r**3 - 44*r**s - 18 - 2.
4*(r - 5)*(r + 1)*(3*r + 1)
Suppose 3*j**2 - 3*j**2 + 65*j - 99*j - 24 - 2*j**2 - 60 = 0. Calculate j.
-14, -3
Let t be 4 + (436 - -4)/(-4). Let w = 175 + t. Suppose 21*u**2 + 126*u**3 - w*u**2 - 28*u + 35*u**2 - 4 - 81*u**4 = 0. What is u?
-2/9, 1
Suppose 11*b = 8*b + 12. Suppose 0 = 2*z - 0*m - m - 1, b*m - 16 = -2*z. Factor -6/7*o**z + 2/7*o**3 - 2/7 + 6/7*o.
2*(o - 1)**3/7
Suppose -w - 210*x - 8 = -212*x, 4*x = -5*w + 30. Factor 2/3*c**w - 8*c + 0.
2*c*(c - 12)/3
Factor -4*v**5 - 40*v**3 - 23*v**3 - 32*v**4 - 3*v**2 - 69*v**2 - 21*v**3.
-4*v**2*(v + 2)*(v + 3)**2
Suppose 5*p - 11 = 9. Factor 4*u - 3*u**4 + 8*u**3 + 0 + 6*u**2 - p*u**3 + 4*u**4 + 1.
(u + 1)**4
What is z in -1/7*z**3 + 8/7*z**2 - 1/7*z**4 + 12/7*z + 0 = 0?
-2, 0, 3
Let -5*f**4 - 3 - f**4 + f**4 + 2*f**4 + 6*f**2 = 0. What is f?
-1, 1
Let s(c) be the first derivative of 14*c**5/75 + 11*c**4/30 + 2*c**3/45 - c**2/5 - 35. Suppose s(x) = 0. What is x?
-1, 0, 3/7
Let i(z) be the third derivative of -z**8/840 - z**7/140 - z**6/60 - z**5/60 - z**3/6 - 29*z**2. Let r(d) be the first derivative of i(d). Factor r(f).
-2*f*(f + 1)**3
Let n be (-6*5/660)/(1/(-2)). Solve 0*f - n*f**2 + 1/11 = 0.
-1, 1
Let y(v) be the third derivative of -v**8/756 - 2*v**7/189 - 7*v**6/270 + v**5/135 + 4*v**4/27 + 8*v**3/27 + 4*v**2 - 1. Find j such that y(j) = 0.
-2, -1, 1
Factor 3/5*q**4 + 0 - 3/5*q**2 + 3/5*q - 3/5*q**3.
3*q*(q - 1)**2*(q + 1)/5
Let h(b) = -58*b + 232. Let n be h(4). Let u(s) be the second derivative of 1/6*s**6 + n*s**3 + 0*s**4 - 6*s - 1/2*s**5 + 0*s**2 + 0 + 5/42*s**7. Factor u(l).
5*l**3*(l - 1)*(l + 2)
Let t(o) be the first derivative of -o**4/16 - 11*o**3/12 - 3*o**2 + 9*o + 44. Factor t(w).
-(w - 1)*(w + 6)**2/4
Let z be ((-1)/(-150))/(8/12). Let u(h) be the third derivative of -z*h**5 + 0*h - 1/10*h**3 + 0 - 1/20*h**4 - 5*h**2. Factor u(o).
-3*(o + 1)**2/5
Let h(n) be the third derivative of n**6/180 - n**5/6 + 13*n**4/18 - 29*n**2 + 2. Factor h(s).
2*s*(s - 13)*(s - 2)/3
Let q(f) = f**3 - 9*f**2 + 9. Let y be q(9). Suppose -5*j + 3*i = -2*j - y, 2*j - 3*i - 7 = 0. Factor 35*d**2 - 19*d**j + 36*d**3 - 24*d**2.
4*d**2*(9*d - 2)
Suppose 0 = -a - 2, -2*a = -7*y + 6*y + 5. Let m(j) be the first derivative of -1/3*j**3 + 3/10*j**5 - y + 3/4*j**2 - 1/4*j**4 - 1/12*j**6 - 1/2*j. Factor m(i).
-(i - 1)**4*(i + 1)/2
Let l(s) = -s**2 + 5*s + 16. Let k(z) = z**2 + 2*z + 1. Let n(q) = 4*k(q) + 2*l(q). Let n(y) = 0. Calculate y.
-6, -3
Let j be (-1 - (-5)/2)*56/42. Let o be -6*((-10)/6 + 0). What is t in -32 - 8*t**2 + 2*t**j + 28 - o*t = 0?
-1, -2/3
Determine h so that 0 - 14/3*h**2 - 2/3*h**3 - 4*h = 0.
-6, -1, 0
Let k(v) be the first derivative of 0*v - 6/5*v**3 + 11 + 3/4*v**4 + 3/10*v**2. What is m in k(m) = 0?
0, 1/5, 1
Let p = -2671 + 2678. Let h(w) be the second derivative of -1/126*w**p - 1/90*w**6 + 1/18*w**4 - 9*w + 0 - 1/18*w**3 - 1/6*w**2 + 1/30*w**5. Factor h(f).
-(f - 1)**2*(f + 1)**3/3
Factor -5/3*f + 4/3*f**3 - 2*f**4 + 2*f**2 + 0 + 1/3*f**5.
f*(f - 5)*(f - 1)**2*(f + 1)/3
Let v = 163 + -160. Suppose 0 = -5*s + 2*k + k + 11, s - 7 = -k. What is b in 3*b**2 + 7 + 17 - 15*b - b**3 + s*b**v - 15 = 0?
-3, 1
Let 3481/7*n**2 + 118/7*n + 1/7 = 0. What is n?
-1/59
Let m(j) = -5*j**2 - 24*j + 53. Let b(l) = -3*l**2 - 2*l + 1. Let w(o) = b(o) - m(o). Factor w(r).
2*(r - 2)*(r + 13)
Let i(p) = -p**3 + 31*p**2 - 284*p + 588. Let g(w) = 2*w. Let u(c) = 6*g(c) + 3*i(c). Factor u(f).
-3*(f - 14)**2*(f - 3)
Let y be 7347/8690 + (-4)/5. Let l(f) be the second derivative of -1/11*f**3 + 10*f + 0 - y*f**4 - 1/110*f**5 - 1/11*f**2. Suppose l(o) = 0. What is o?
-1
Let y(l) = -7*l**3 - 10*l**2 - 6*l + 78. Let p(k) = -13*k**3 - 20*k**2 - 13*k + 155. Let r(i) = -6*p(i) + 11*y(i). Solve r(u) = 0 for u.
-6, 2
Let j(o) be the first derivative of 4*o**2 + 0*o - 10 - 4*o**4 - 4/3*o**3 + 12/5*o**5. Factor j(q).
4*q*(q - 1)**2*(3*q + 2)
Suppose 0 = -5*v - 12*v - 9*v. Suppose -1/3*a + v + 1/3*a**2 = 0. What is a?
0, 1
Suppose 9*l = 23 - 5. Factor 22*d**4 - 147*d + 2*d**5 - 66*d**3 - 252*d**l + 7*d**4 + 7*d**4 - 5*d**5.
-3*d*(d - 7)**2*(d + 1)**2
Let y be (-2 - 4/6)*(-27)/36. Suppose 4*v + 4 = y*v, -x + 11 = -4*v. Let -48/5*n**5 + 8/5*n + 64/5*n**x + 52/5*n**2 - 76/5*n**4 + 0 = 0. What is n?
-2, -1/3, -1/4, 0, 1
Let p be (-5)/15*6/(-1). Let g(l) be the first derivative of -1/6*l**4 - 1 + 0*l + 0*l**p + 2/9*l**3. Suppose g(r) = 0. What is r?
0, 1
Let r(w) be the third derivative of 16/15*w**3 + 0*w - 7/150*w**5 - 1/300*w**6 + 8*w**2 - 2/15*w**4 + 0. Factor r(a).
-2*(a - 1)*(a + 4)**2/5
Let r(v) be the second derivative of v**5/130 + 11*v**4/78 + 35*v**3/39 + 25*v**2/13 + 36*v - 7. Factor r(x).
2*(x + 1)*(x + 5)**2/13
Let k(f) = -2*f**4 + f**3 + f**2 + f - 1. Let a(u) = u**5 + 24*u**4 + 59*u**3 + 85*u**2 + 54*u + 17. Let l(n) = -a(n) - 3*k(n). Factor l(w).
-(w + 1)**4*(w + 14)
Let a(t) = -t + 2. Let f be a(-6). Let j be (-7)/((-14)/f)*1. Factor 3*y**2 - 6*y + 4 - j.
3*y*(y - 2)
Let q be 15/(-6)*(-2)/20. Suppose -k + 4 = -4*w, 0 = -0*w + 3*w + 3. Factor 0*b - q*b**3 + k - 1/2*b**2.
-b**2*(b + 2)/4
Let a = 16 + -16. Suppose a = -2*p + 4. Factor -5*v - 12 - 8*v - 3*v**p + v.
-3*(v + 2)**2
Let v(t) = -13*t**3 - 6*t**5 - 3 + 8*t**5 + 2*t**2 - 2*t**2 + 8*t. Let s(f) = -f**5 - f**3 + f - 1. Let w(r) = 3*s(r) - v(r). Let w(z) = 0. Calculate z.
-1, 0, 1
Factor -3 + 17*z**4 + 0 + 3 - 15*z**4 - 40*z**2 - 38*z**3.
2*z**2*(z - 20)*(z + 1)
Suppose -2 = -4*c - 2*t, 3 + 0 = -3*c - 3*t. Suppose 0 = -c*a + 5*n - 1, 2*a - 6*a + 5*n = -3. Factor -5*l**a - 5*l + 13*l**2 + 11*l**3 + 5*l**3 + 6*l.
l*(4*l + 1)**2
Let l(d) be the second derivative of -15*d - 13/36*d**3 + 5/72*d**4 + 0 - 1/2*d**2. Factor l(j).
(j - 3)*(5*j + 2)/6
Factor 560*b + 2/3*b**3 + 600 - 118/3*b**2.
2*(b - 30)**2*(b + 1)/3
Let q be (-58)/(-14) + 2 - (-35 + 57 + -17). Let 0*b**2 + 2/7*b**4 + q*b**3 + 0*b - 1/7*b**5 + 0 = 0. Calculate b.
-2, 0, 4
Let k(z) be the third derivative of z**7/168 + 43*z**6/480 + 13*z**5/60 - 7*z**4/24 - 37*z**2 - 2. What is y in k(y) = 0?
-7, -2, 0, 2/5
Let z(a) be the first derivative of -a**4/30 - a**3/15 + 5*a - 14. Let q(m) be the first derivative of z(m). Determine n so that q(n) = 0.
-1, 0
Let p(u) = -u**3 + 10*u**2 - 10*u + 9. Suppose 8*l - 27 = 5*l. Let t be p(l). Find b such that -b**2 + t*b**2 - b**2 = 0.
0
Let r(f) = f**4 + f**3 + f**2 - 2*f + 1. Let o(t) = 44*t**4 + 506*t**3 + 124*t**2 - 77*t - 23. Let j(q) = -2*o(q) - 2*r(q). Suppose j(k) = 0. Calculate k.
-11, -1/3, 2/5
Factor 24467*h - 40 - 24455*h + 4*h**2 + 0*h**2.
4*(h - 2)*(h + 5)
Let d(a) = -a**2 + 2*a - 11. Let j(v) be the third derivative of -v**3/6 + 12*v**2. Let o(g) = 2*d(g) - 22*j(g). Factor o(s).
-2*s*(s - 2)
What is z in -2/15*z**2 - 54/5 - 12/5*z = 0?
-9
Find f, given that 108*f**2 - 16*f**4 + 4*f**5 - 26*f**2 - 50*f**2 - 8*f**3 - 16 + 4*f = 0.
-1, 1, 4
Let t be -4 + ((-136)/(-40) - 5)/(2/(-5)). Factor t*k + 0 + 0*k**2 - 1/4*k**3.
-k**3/4
Let s(x) be the third derivative of -x**6/40 + 9*x**5/20 + 6*x**4 + 26*x**3 - 15*x**2 + 4. Factor s(q).
-3*(q - 13)*(q + 2)**2
Let q(j) be the third derivative of 2/105*j**7 + 0*j**4 - 1/15*j**6 + 0*j**3 + 0*j + 1/15*j**5 - 11*j**2 + 0. Factor q(l).
4*l**2*(l - 1)**2
Factor 26/3*t + 2/3*t**2 + 20.
2*(t + 3)*(t + 10)/3
Let d(g) be the third derivative of -1/8*g**4 + 2/35*g**7 - 1/112*g**8 + 0 + 2*g**2 + 0*g - 3/20*g**6 + 0*g**3 + 1/5*g**5. Find k, given that d(k) = 0.
0, 1
Let k(c) be the third derivative of c**6/840 + c**5/30 + 7*c**4/24 - 7*c**2. Factor k(g).
g*(g + 7)**2/7
Let z be -3*((-80)/15)/2. Suppose 11*v = z + 14. Factor 2/3*k + 2/3*k**v - 4/3.
2*(k - 1)*(k + 2)/3
Suppose -2*r + 20 = -0*r. Let 16*f**3 - 5*f**4 - r*f**2 + f**4 - 5*f**2 - f**2 = 0. What is f?
0, 2
Let i(z) = z + 29. Let x be i(-6). Suppose -17*n = -x*n + 12. Factor 3/5*b + 0 + 1/5*b**n.
b*(b + 3)/5
Let m(u) be the first derivative of u**4/8 - 17*u**3/6 + 11*u**2 - 14*u + 695. Factor m(a).
(a - 14)*(a - 2)*(a - 1)/2
Let c = 32 - 30. Let 3*a**c - 6*a**2 - a + 0*a**2 + 5*a**2 = 0. What is a?
0, 1/2
Factor 8/5 + 8/5*y**2 + 2/5*y**3 - 1/2*y**4 + 1/10*y**5 - 16/5*y.
(y - 2)**3*(y - 1)*(y + 2)/10
Let q(m) be the fi