termine b, given that 0*b + 9/4*b**2 - 3 + 3/4*b**3 = 0.
-2, 1
Let u(b) = -b + 3. Let q be u(-3). Suppose -4*v + 8 = -2*y, -3*v + y = -4*y - q. What is p in -1 + 2*p**2 - 2*p**2 + p**v = 0?
-1, 1
Let g(u) be the third derivative of u**8/336 - 9*u**7/70 + 97*u**6/60 - 71*u**5/30 - 65*u**4/8 + 169*u**3/6 + 73*u**2 - 2. Determine q, given that g(q) = 0.
-1, 1, 13
Let a(x) be the first derivative of 5*x**4/4 - 10*x**3 + 25*x**2/2 + 60*x - 88. Let a(y) = 0. What is y?
-1, 3, 4
Let c(q) be the second derivative of q**8/1344 + q**7/210 - q**6/480 - q**5/60 - 15*q**2 + 6*q - 7. Let a(x) be the first derivative of c(x). Factor a(h).
h**2*(h - 1)*(h + 1)*(h + 4)/4
Let x = 15569 + -15566. Find f, given that -1331/2 - 33/2*f**2 - 363/2*f - 1/2*f**x = 0.
-11
Suppose 28*a**3 - 21*a**2 - 9*a**2 + 660*a**4 - 658*a**4 = 0. Calculate a.
-15, 0, 1
Suppose 5*t = 6 + 9. Solve b - 3*b**4 + 0*b**4 + 9*b**2 - 6*b**4 - 6*b**t + 5*b = 0.
-1, -2/3, 0, 1
Suppose -2*s - 8*s = 5*s. Suppose -6*a = -s*a - 12. Determine j, given that -3/4*j + 0 + 1/4*j**a = 0.
0, 3
Let -681/7*v**3 - 447/7*v - 18/7 - 135/7*v**4 - 975/7*v**2 = 0. Calculate v.
-3, -1, -2/45
Let a(i) = -i**3 - i**2 + i - 1. Let r(p) = -1. Suppose -2*g + g - 7 = 0. Let q = -4 - g. Let z(s) = q*a(s) - 6*r(s). Factor z(j).
-3*(j - 1)*(j + 1)**2
Factor 33*u**2 - 175 + 14*u**2 + 22*u**3 + 93*u + 59*u**2 - 25*u + 159.
2*(u + 1)*(u + 4)*(11*u - 2)
Suppose -4*y + 59 = -3*i, 4*y = 6*y - 5*i - 33. Let x be 38/133 + 38/y. Factor 1/8*l**4 + 1/4*l**x - 1/8*l**2 + 0 - 1/4*l.
l*(l - 1)*(l + 1)*(l + 2)/8
Solve 18*g**3 + 10*g**2 - 26/5*g**4 - 100*g + 2/5*g**5 + 0 = 0.
-2, 0, 5
Let f(i) be the second derivative of 0 - 6*i + 1/3*i**3 + 0*i**2 + 1/12*i**4. Suppose f(h) = 0. Calculate h.
-2, 0
Suppose k - 5 = -k + 5*c, -7*k - 4 = 4*c. What is l in 3/4*l**2 + k + 1/4*l**3 + 0*l = 0?
-3, 0
Let i(m) be the third derivative of 0 - m**2 - 13/204*m**4 - 3/170*m**6 + 1/255*m**7 + 12*m - 1/2856*m**8 + 1/17*m**3 + 11/255*m**5. Factor i(y).
-2*(y - 3)*(y - 1)**4/17
Find y such that 3*y - 3*y**3 + 27/2*y**2 - 12 - 3/2*y**4 = 0.
-4, -1, 1, 2
Let k(j) = -5*j**3 + 13*j**2 + 84*j + 100. Let q(c) = 30*c**3 - 80*c**2 - 505*c - 600. Let m(f) = -25*k(f) - 4*q(f). Let m(y) = 0. What is y?
-2, 5
Let t(x) = -7*x**3 - 20*x**2 - 29*x + 21. Let y(j) = -8*j**3 - 21*j**2 - 30*j + 22. Let u(q) = -6*t(q) + 5*y(q). Factor u(a).
(a + 4)**2*(2*a - 1)
Suppose -7*i = -9*i. Suppose 3*j - 4*j + 3 = i. Factor 3*t**3 + 8*t**5 - 9*t**5 - 3*t**j.
-t**5
Let f(q) be the second derivative of q**5/80 + 19*q**4/48 - 5*q**3/6 + 7*q + 5. Factor f(b).
b*(b - 1)*(b + 20)/4
Let t(k) be the second derivative of -k**4/24 - 17*k**3/4 - 96*k - 2. Factor t(q).
-q*(q + 51)/2
Let b be 1/2*(-392)/(-686). Factor b*g**2 + 0 - 4/7*g.
2*g*(g - 2)/7
Let f(z) be the first derivative of z**3/2 - 13*z**2/4 + 2*z - 101. Factor f(x).
(x - 4)*(3*x - 1)/2
Let g = -249 - -252. Let n be (-5)/(-2) + 0 - 2. Solve n*i + i**2 + 1/2*i**g + 0 = 0 for i.
-1, 0
Let t be (15/(-12))/((-700)/160). Let c(o) be the second derivative of -t*o**2 + 0 + 0*o**4 + 5*o + 1/7*o**3 - 1/70*o**5. Factor c(f).
-2*(f - 1)**2*(f + 2)/7
Factor -2*d**5 + 21*d**3 - 17*d**4 + 7*d**5 + 11*d**4 - 9*d**2 - 2*d**5 - 9*d**4.
3*d**2*(d - 3)*(d - 1)**2
Let a be 2168/(-104) + 168/8. Factor -a*u**3 + 6/13*u**2 - 6/13 + 2/13*u.
-2*(u - 3)*(u - 1)*(u + 1)/13
Determine v so that 10*v**2 + 475*v**3 - 60*v - v**5 - 460*v**3 + 0*v**5 - 72 = 0.
-2, 3
What is z in 4/3*z**2 + 1/3*z - 2*z**3 + 5/3*z**5 + 0 - 4/3*z**4 = 0?
-1, -1/5, 0, 1
Let s = -804 + 806. Let m(c) be the first derivative of 1/18*c**6 + 1 + 5/12*c**4 - 4/15*c**5 + 0*c + 0*c**s - 2/9*c**3. Factor m(u).
u**2*(u - 2)*(u - 1)**2/3
Suppose -3*p = 4*v - 21 - 1, 5*v = 20. Factor 0*m**2 - 24*m**p + 9*m**2 - 5*m**4 - 25*m**3 + 45*m.
-5*m*(m - 1)*(m + 3)**2
Let m(n) be the third derivative of n**7/252 + 19*n**6/360 - 29*n**5/90 + 5*n**4/18 + 3*n**2 + 40. Solve m(k) = 0 for k.
-10, 0, 2/5, 2
Let h(i) be the first derivative of 8*i**5/65 + 17*i**4/26 - 48*i**3/13 + 37*i**2/13 + 28*i/13 - 151. Let h(q) = 0. Calculate q.
-7, -1/4, 1, 2
Let i(b) be the third derivative of 0*b**5 - 1/240*b**6 - 12*b**2 + 0*b + 0 + 1/48*b**4 + 0*b**3. Factor i(t).
-t*(t - 1)*(t + 1)/2
Let r be (-6 + 9825/(-50))*4/(-25). Determine l so that -36*l**2 - 22/5*l**4 - 2/5*l**5 - 54/5 - 92/5*l**3 - r*l = 0.
-3, -1
Suppose -47 = 5*s + 23. Let q = -11 - s. Factor 0*w + w + 3*w**3 - w**q - 3*w**3.
-w*(w - 1)*(w + 1)
Let r(z) be the third derivative of z**6/120 + 11*z**5/60 + 17*z**4/12 + 4*z**3 + 29*z**2 - 6. Suppose r(a) = 0. Calculate a.
-6, -4, -1
Let 3/2*p**3 + 0 - 21/8*p**2 - 1/8*p**4 - 49/4*p = 0. Calculate p.
-2, 0, 7
Let v(c) = -30*c**2 + 5*c + 2. Let p be v(-1). Let j = -33 - p. Factor j + 0*o + 2/5*o**2 - 2/15*o**4 - 4/15*o**3.
-2*o**2*(o - 1)*(o + 3)/15
Let j(n) = 20*n**3 - 39*n**2 - 144*n + 40. Let h(w) = -220*w**3 + 430*w**2 + 1585*w - 440. Let t(c) = -6*h(c) - 65*j(c). Let t(m) = 0. Calculate m.
-2, 1/4, 4
Let o(u) = 64*u**2 + 348*u + 100. Let r(l) = 21*l**2 + 116*l + 33. Let k(q) = 5*o(q) - 16*r(q). Factor k(n).
-4*(n + 7)*(4*n + 1)
Let p(w) be the third derivative of -w**6/360 + 7*w**5/180 - w**4/12 - 508*w**2. Factor p(x).
-x*(x - 6)*(x - 1)/3
Suppose 2*q + w - 127 = -4*w, 0 = 4*w - 4. Find i such that -i**3 + 0*i**3 - q*i + 58*i - 4*i**2 = 0.
-3, -1, 0
Let s(k) = k**3 - 4*k**2 + 57*k - 54. Let a be s(1). What is g in 0*g - 8/9*g**2 + a + 4/9*g**3 + 8/3*g**5 + 52/9*g**4 = 0?
-2, -1/2, 0, 1/3
Let s(x) = -x**3 - 7*x**2 + 7*x - 5. Let m be s(-8). Let h be 26/m + (-2)/3. Suppose -5*a**3 - 4 - h*a**2 + 3*a**3 + 4*a**3 + 10*a = 0. What is a?
1, 2
Let a = 869 - 864. Let j(m) be the third derivative of 0*m**6 + 2/315*m**7 + 0*m**4 - 1/45*m**a - 7*m**2 + 0*m + 0 + 0*m**3. Factor j(f).
4*f**2*(f - 1)*(f + 1)/3
Let p be ((-4)/(-14) - 0) + (-3620)/(-70). Suppose 9*t**4 - 3*t**4 - 4*t**2 - 20*t**2 - 42*t**4 - p*t**3 - 8*t**5 = 0. Calculate t.
-2, -3/2, -1, 0
Let k be 7/(-7) - (-3)/3. Let h(a) be the third derivative of -1/12*a**4 - 1/168*a**8 + 0 + 1/30*a**6 - 3*a**2 + 0*a**3 + k*a + 0*a**7 + 0*a**5. Factor h(r).
-2*r*(r - 1)**2*(r + 1)**2
Suppose -5*o = -4*m - 12, -19 = -4*o - 4*m + 5. Suppose -f - 12 = -o*f. Find i, given that -11*i**2 - 17*i**f + 3*i**2 + 13*i**4 - 12*i**3 = 0.
-2, -1, 0
Let a(b) be the first derivative of 3/2*b**4 + 2*b**3 + 3*b - 9/2*b**2 + 1/2*b**6 - 9/5*b**5 + 3. Find p such that a(p) = 0.
-1, 1
Suppose 0 = -3*w + 6, 0 = -2*s - 2*s - 4*w + 4. Let p be 2 - -2 - (s - -3). Let n**3 + 3*n**4 - 10*n**3 + 2*n**2 + n**2 + 3*n**p = 0. Calculate n.
0, 1, 2
Factor 2450/3 + 2/3*i**2 + 140/3*i.
2*(i + 35)**2/3
Let n(w) be the second derivative of -5*w**4/3 + 56*w**3/3 + 24*w**2 - 42*w + 2. Let n(c) = 0. Calculate c.
-2/5, 6
Let t(z) be the second derivative of z**6/15 + 3*z**5/5 - z**4/2 - 20*z**3/3 - 12*z**2 + 41*z - 4. Factor t(p).
2*(p - 2)*(p + 1)**2*(p + 6)
Let r(n) = -6*n**2 - 19*n + 2251. Let l be r(-21). Determine h, given that 0*h**2 + 1/4*h**l - 1/4 + 1/2*h - 1/2*h**3 = 0.
-1, 1
Find w such that 0*w + 51/4*w**3 - 21/2*w**4 - 7/2*w**2 + 5/4*w**5 + 0 = 0.
0, 2/5, 1, 7
Suppose -3/7*i + 1/7*i**2 - 10/7 = 0. What is i?
-2, 5
Let q(f) be the second derivative of -7*f**5/5 - 376*f**4/3 - 526*f**3/3 + 212*f**2 - f + 2. Determine i, given that q(i) = 0.
-53, -1, 2/7
Let x(f) = -f - 7. Let i be x(-9). Factor -15*v**2 + 2*v + 9*v**2 + 5*v**4 + v**4 - i*v**3.
2*v*(v - 1)*(v + 1)*(3*v - 1)
Let k(u) be the third derivative of u**7/350 + 3*u**6/40 - 17*u**5/50 + 480*u**2. Let k(z) = 0. Calculate z.
-17, 0, 2
Let f(n) be the second derivative of n**5/30 - n**4/12 - 2*n**3/3 - 5*n**2/2 + 10*n. Let p(j) be the first derivative of f(j). Factor p(a).
2*(a - 2)*(a + 1)
Find m such that -1/7*m**2 - 250/7*m - 15625/7 = 0.
-125
Let m(s) be the third derivative of s**8/2016 + s**7/210 + s**6/180 - s**5/60 - 5*s**4/144 + 17*s**2 + 1. Suppose m(b) = 0. Calculate b.
-5, -1, 0, 1
Let o(r) = -17*r + 139. Let n be o(8). Let q(j) be the first derivative of -2 + 1/2*j**n - 1/2*j**2 + 0*j - 1/8*j**4. Factor q(g).
-g*(g - 2)*(g - 1)/2
Let i = -27 - -32. Factor 2*u**5 - 4*u**i + 35*u - 33*u + 4*u**4 - 5*u**2 + u**2.
-2*u*(u - 1)**3*(u + 1)
Let h(s) = 5*s**2 - 65*s + 90. Let z(j) = j - 2. Let m(g) = h(g) + 30*z(g). Suppose m(o) = 0. Ca