2 - 6*u**2 + 300*u - z - 9*u**2 + 4*u**3 = 0.
5
Let z be (-14 - -20)*(-2)/(-4). Suppose z*d = 3*d + 7*d. What is q in 3/2*q - 3/4*q**2 + d = 0?
0, 2
Let b = 418 - 219. Let z = 202 - b. Determine m so that 0 - 2/7*m + 1/7*m**4 + 9/7*m**z + 3/7*m**2 - 3/7*m**5 = 0.
-1, 0, 1/3, 2
Factor 2/7*q**2 + 92/7*q + 1058/7.
2*(q + 23)**2/7
Let g(v) be the third derivative of v**6/660 + v**5/165 - v**4/132 - 2*v**3/33 - 2*v**2 + 4*v. Factor g(r).
2*(r - 1)*(r + 1)*(r + 2)/11
Let q(n) be the first derivative of -n**6/6 - 2*n**5/5 + 7*n**4/4 + 8*n**3/3 - 6*n**2 - 60. Suppose q(m) = 0. What is m?
-3, -2, 0, 1, 2
Let u(h) = -h**3 - 4*h**2 + 9*h + 24. Let k be u(-5). What is d in -8/5 + 2/5*d**k - 18/5*d**2 + 2/5*d**3 + 22/5*d = 0?
-4, 1
Let s(u) be the first derivative of -3*u**5/5 - 47*u**4/12 - 10*u**3/9 - 67. Determine g, given that s(g) = 0.
-5, -2/9, 0
Let g = 1 - -1. Let m be -15 + 16 + 24/(-32). Factor -m*c**2 - 4 + g*c.
-(c - 4)**2/4
Let a(v) be the first derivative of -5*v**4/72 - 5*v**3/4 + 25*v**2/6 + 48*v - 54. Let i(d) be the first derivative of a(d). Factor i(b).
-5*(b - 1)*(b + 10)/6
Let z(b) = 4*b**2. Let s be z(1). Let r be 8/s + 0/(-1). Determine d so that 5*d - 15 - d**2 - 2*d**r - 2*d + d**3 + 14 = 0.
1
Let p be ((-7)/1 - 795/(-105))/2. Suppose a = -2*a + 6. Factor -2/7*v**5 + 4/7*v**3 - 4/7*v**a + p*v**4 + 2/7 - 2/7*v.
-2*(v - 1)**3*(v + 1)**2/7
Let f be 1/(-4 + (-5)/(-1)). Suppose -12 = -3*b, a + 3*b - 11 = f. What is h in 0 + 3/5*h**2 - 9/5*h**3 + 9/5*h**4 - 3/5*h**5 + a*h = 0?
0, 1
Suppose -2*j - 19 = 5. Let x be 1/3 + (-4)/j. Factor -m**4 + m**2 - x*m**3 + 0 + 2/3*m.
-m*(m - 1)*(m + 1)*(3*m + 2)/3
Let w = 79 + -76. Determine a, given that -415*a**4 + 85*a**5 - 47 - 115*a**2 - 390*a**2 + 715*a**w + 100*a + 67 = 0.
-2/17, 1, 2
Let x(p) = -8*p - 70. Let q be x(-5). Let u be (16/(-40))/(4/q). Solve u + 15/2*v**3 + 3/2*v - 12*v**2 = 0.
-2/5, 1
Let v(r) be the third derivative of 0 + 1/270*r**5 + 2/27*r**4 - 4*r**2 + 0*r - 4/9*r**3 - 1/540*r**6. Factor v(c).
-2*(c - 2)**2*(c + 3)/9
Let j(a) be the third derivative of -a**7/420 + a**6/60 - a**5/30 - 5*a**3/2 + 4*a**2. Let c(f) be the first derivative of j(f). Determine k so that c(k) = 0.
0, 1, 2
Factor 4/3*y**3 - 1/3*y**2 + 0 + 1/3*y**4 - 4/3*y.
y*(y - 1)*(y + 1)*(y + 4)/3
Let r(u) be the second derivative of 7*u + 0*u**2 + 0*u**3 + 0*u**4 + 0 + 1/90*u**5. Factor r(z).
2*z**3/9
Suppose 0 = -3*p - s + 6, -4*p + 260 - 252 = 3*s. Find t such that 2/3*t - 1/3*t**p - 1/3 = 0.
1
Suppose -19 = -3*n - 4*a - 13, -4*a = 0. What is d in 0 + 3/2*d - 9*d**n = 0?
0, 1/6
Let i = 1774 + -1771. Factor 0*g + 0 - 1/2*g**2 + 1/2*g**i.
g**2*(g - 1)/2
Let f(t) = -3*t**5 - 11*t**4 + 23*t**3 - t**2 + 4. Let w(v) = -3*v**5 - 10*v**4 + 22*v**3 - 2*v**2 - v + 3. Let n(p) = 3*f(p) - 4*w(p). Factor n(x).
x*(x - 1)**2*(x + 4)*(3*x + 1)
Let z(m) be the second derivative of -1/65*m**5 + 0*m**3 + 0 - 5/273*m**7 - 7/195*m**6 + 0*m**4 + 22*m + 0*m**2. Determine k, given that z(k) = 0.
-1, -2/5, 0
Let f(m) be the second derivative of 15*m + 0 + 2/21*m**4 - 1/105*m**6 + 1/70*m**5 + 0*m**2 - 4/21*m**3. Find x, given that f(x) = 0.
-2, 0, 1, 2
Let l(x) = 2*x**2 - 58*x + 104. Let w(q) = 2*q**2 - 58*q + 105. Let d(h) = 3*l(h) - 4*w(h). Factor d(n).
-2*(n - 27)*(n - 2)
Factor -80*v**2 + 3*v - 24*v - 6*v - 35*v**3 + 7*v.
-5*v*(v + 2)*(7*v + 2)
Let r be 2/(-11) + (-3 - (-1365)/308). Let c(w) be the first derivative of -r*w**3 + 0*w - 21/16*w**4 + 2 - 3/8*w**2 - 9/20*w**5. Factor c(b).
-3*b*(b + 1)**2*(3*b + 1)/4
Suppose 9/7*c**2 + 4/7 - 1/7*c**4 - 11/7*c - 1/7*c**3 = 0. What is c?
-4, 1
Suppose 3*o - 3 = -2*p, 4*o + 5*p + 6 = o. Determine x so that 8*x + 4*x**3 - 3*x**2 - o*x**2 - 6*x**2 = 0.
0, 1, 2
Let k(a) be the first derivative of a**8/560 - 3*a**7/280 + a**6/120 + 3*a**5/40 - a**4/4 + 7*a**3 - 12. Let p(x) be the third derivative of k(x). Factor p(y).
3*(y - 2)*(y - 1)**2*(y + 1)
Let l be 16/40 - 39/(-15). Factor -2*y**3 + 0*y**l - 2 - 18*y + 12*y**2 + 2.
-2*y*(y - 3)**2
Factor -13/4*q**3 - 17/4*q**2 - 9/8*q**4 - 5/8 - 21/8*q - 1/8*q**5.
-(q + 1)**4*(q + 5)/8
Let v = 1815/3634 + 1/1817. Factor -v*x**2 + 3/2*x - 3/2*x**3 + 0 + 1/2*x**4.
x*(x - 3)*(x - 1)*(x + 1)/2
Suppose -2*p = -g + 10, 4*g - 3*p + 5 = -4*p. Let l = -35/6 - -37/6. Suppose g + l*r**2 - r = 0. What is r?
0, 3
Let q(f) be the third derivative of -1/60*f**5 - 6*f**2 + 0*f**4 + 1/180*f**6 + 4/3*f**3 + 0 + 0*f. Let s(x) be the first derivative of q(x). Factor s(p).
2*p*(p - 1)
Factor 1/3*m**2 - 11/3*m + 6.
(m - 9)*(m - 2)/3
Find d such that 54*d + 4*d**2 + 91*d - 3 + 3 - 45*d = 0.
-25, 0
Let q(i) be the first derivative of -i**6/10 + 9*i**5/10 - 13*i**4/4 + 6*i**3 - 6*i**2 - 4*i - 25. Let m(r) be the first derivative of q(r). Factor m(s).
-3*(s - 2)**2*(s - 1)**2
Let u(b) be the first derivative of -b**5/15 + 35*b**4/12 - 32*b**3 - 54*b**2 + 552. Factor u(o).
-o*(o - 18)**2*(o + 1)/3
Let g(p) be the second derivative of 2*p**7/21 - 2*p**6/15 - 3*p**5/5 + 5*p**4/3 - 4*p**3/3 + 66*p. Factor g(c).
4*c*(c - 1)**3*(c + 2)
Let p(w) be the second derivative of 1/6*w**4 + w**3 - 6*w + 0*w**2 + 1/60*w**5 - 1/180*w**6 + 0. Let o(n) be the second derivative of p(n). Factor o(i).
-2*(i - 2)*(i + 1)
Let q(z) be the second derivative of -z**6/1620 + z**5/135 + z**4/9 + 16*z**3/3 + 11*z. Let c(u) be the second derivative of q(u). Factor c(w).
-2*(w - 6)*(w + 2)/9
Let j(w) be the second derivative of w**7/84 + w**6/12 + 7*w**5/40 + w**4/8 - 2*w + 44. Let j(x) = 0. Calculate x.
-3, -1, 0
Suppose -383 + 423 = 20*x. Let d be (8/(-3))/(-2)*60/100. Factor -d*z**x + 4/5*z - 4/5*z**3 + 4/5.
-4*(z - 1)*(z + 1)**2/5
Let l be 2/((-13)/(117/(-6))). Let p(c) be the second derivative of -1/60*c**5 + 2/3*c**2 + 0 + 0*c**l - 1/12*c**4 + c. Solve p(j) = 0.
-2, 1
Let d(x) be the second derivative of -16*x + 1/2*x**4 + 0 + 3/2*x**3 - 3*x**2 - 3/5*x**5 + 1/14*x**7 + 0*x**6. Factor d(p).
3*(p - 1)**3*(p + 1)*(p + 2)
Suppose -130 = -11*k - 108. Let x(j) be the second derivative of -6*j + j**3 + 7/4*j**4 + 0 + 0*j**k. Determine n, given that x(n) = 0.
-2/7, 0
Solve 3*i**4 + 45*i + 2*i**4 + 466*i**2 - 511*i**2 - 5*i**3 = 0.
-3, 0, 1, 3
Let f(v) be the second derivative of 2*v**6/15 - 3*v**5/10 - 3*v**4/2 - v**3/3 + 3*v**2 + 211*v. Factor f(u).
2*(u - 3)*(u + 1)**2*(2*u - 1)
Let b(k) be the second derivative of k**4/24 - 37*k**3/6 - 75*k**2/4 + 435*k. Let b(m) = 0. Calculate m.
-1, 75
Let u(m) be the first derivative of m**6/30 - 3*m**5/5 + 37*m**4/10 - 22*m**3/3 - 15*m**2/2 + 25*m + 497. Factor u(s).
(s - 5)**3*(s - 1)*(s + 1)/5
Let m = 11/243 + 409/1701. Find b such that -m*b**2 + 0*b + 8/7 = 0.
-2, 2
Let x(u) be the second derivative of -u**5/20 - 5*u**4/12 + 7*u**3/6 + 4*u**2 + 14*u. Let k be x(-6). Factor 1/4*f + 1/4*f**k - 1/2.
(f - 1)*(f + 2)/4
Let b(y) be the third derivative of -y**5/36 - 25*y**4/72 - 28*y**2. Factor b(d).
-5*d*(d + 5)/3
Let a = -695/4 - -174. Let y = 1 + a. Factor -5*u**2 + y*u + 0.
-5*u*(4*u - 1)/4
Let s(c) = -3*c**3 + 5*c**2 - 7*c + 3. Let g(m) = 11*m**3 - 16*m**2 + 20*m - 8. Let l(n) = 6*g(n) + 21*s(n). Solve l(x) = 0.
-5, 1
Let z(b) = 32*b**3 - 40*b - 8. Let c(t) = -t**4 - 33*t**3 + t**2 + 39*t + 6. Let q(f) = -4*c(f) - 3*z(f). Factor q(a).
4*a*(a - 1)*(a + 1)*(a + 9)
Let j be ((-3)/2)/(4/(-8)). Suppose 15 = 8*b - j*b. Factor -1/3*c**5 + 0 + 1/3*c**b + 0*c + 1/3*c**4 - 1/3*c**2.
-c**2*(c - 1)**2*(c + 1)/3
Factor -394*w**2 - 7*w**4 - 48*w + 3*w**4 + 446*w**2.
-4*w*(w - 3)*(w - 1)*(w + 4)
Let v(h) be the first derivative of -h**6/9 + 4*h**5/5 + h**4 - 56*h**3/9 - 15*h**2 - 12*h - 221. Find a such that v(a) = 0.
-1, 3, 6
Factor 7 + 1/6*w**2 + 13/6*w.
(w + 6)*(w + 7)/6
Suppose -5*a - 20 = 0, 0 = 3*g - g + 4*a + 28. Let f be 12/(g/(-2))*10/180. Factor 2/9*c + 0 + f*c**2.
2*c*(c + 1)/9
Let o(h) = h - 1. Let a(b) = b**3 - b**2 - b - 1. Let w(i) = -a(i) + o(i). Let w(r) = 0. Calculate r.
-1, 0, 2
Let c(z) = 8*z**3 + 134*z**2 + 298*z + 154. Let r(p) = -22*p**3 - 403*p**2 - 893*p - 461. Let i(d) = -17*c(d) - 6*r(d). Factor i(l).
-4*(l - 37)*(l + 1)**2
Let j(y) be the second derivative of 0*y**2 + 0 - 5/12*y**4 - 22*y + 0*y**3 - 1/2*y**5 - 1/6*y**6. Find p such that j(p) = 0.
-1, 0
Let v(b) be the first derivative of -b**7/8820 - b**6/1890 + b**5/252 + b**4/42 + 5*b**3/3 - 12. Let m(