*k**2 - 4/3*k**3 - 4 = 0 for k.
-1, 1, 3
Factor 27*d + 14*d**2 - 13*d + 26*d + 14*d.
2*d*(7*d + 27)
Let d(l) be the first derivative of 1/4*l**3 + 51 + 3/8*l**2 - 9/2*l. Factor d(b).
3*(b - 2)*(b + 3)/4
Solve 132/5 - 27*u + 3/5*u**2 = 0.
1, 44
Let b be (11/(0 + (-1)/1))/1. Let k be (6/(-1))/(-5 - b - 16). Factor 0 + 0*v**2 - 3/5*v + k*v**3.
3*v*(v - 1)*(v + 1)/5
Suppose 4*m + 5 = -11. Let l(b) = -b**2 - 5*b. Let x be l(m). Factor -4 - 4*a**5 + 12*a + 5*a**x - 13*a**3 + 5*a**3 - 8*a**2 + 7*a**4.
-4*(a - 1)**4*(a + 1)
Suppose -3*n = -9 + 3. Determine q so that -4*q**3 - q + 3*q + 4 + 2*q + n*q**2 - 3*q**4 - 3 = 0.
-1, -1/3, 1
Let n = -206760/7 - -29538. Factor -4/7*u - 2/7*u**3 - n*u**2 + 0.
-2*u*(u + 1)*(u + 2)/7
Let k(f) = -28*f**3 - 47*f**2 + 15*f + 17. Let r(q) = -418*q - 6*q**3 - 3*q**3 + 6 - 16*q**2 + 423*q. Let o(a) = -6*k(a) + 17*r(a). Factor o(z).
5*z*(z + 1)*(3*z - 1)
Let h(p) be the first derivative of -p**4/10 + 4*p**3/5 + 7*p**2/5 + 6. Factor h(z).
-2*z*(z - 7)*(z + 1)/5
Let m(w) be the second derivative of -w**5/4 + 35*w**4/12 - 40*w**3/3 + 30*w**2 + 544*w. Factor m(x).
-5*(x - 3)*(x - 2)**2
Suppose 3*u = -9, -5*u + 63 = -3*d - 48. Let t be (-1029)/d*((-4)/14)/(-2). Solve -5/6*s**5 - t*s**3 + 17/6*s**4 + 0 + 11/6*s**2 - 1/3*s = 0.
0, 2/5, 1
Let o(w) be the second derivative of -w**4/4 - 9*w**3 - 108*w**2 - 224*w. Factor o(g).
-3*(g + 6)*(g + 12)
Let i(k) be the second derivative of -4*k**2 + 0 - 7*k + 47/5*k**5 - 17*k**4 - 2*k**6 + 14*k**3. Factor i(s).
-4*(s - 1)**3*(15*s - 2)
Let y be 1*(2 - 3)/(-6). Let q(m) = -m**3 + 3*m**2 + 5*m - 2. Let o be q(4). Factor 0 - y*f - 1/6*f**o.
-f*(f + 1)/6
Factor -44/5 - 2/5*x**2 - 26/5*x.
-2*(x + 2)*(x + 11)/5
Let t = -124767/4 + 31192. Solve -1/2*s**2 + 0 - t*s**3 + 0*s = 0 for s.
-2, 0
Let u be (-4)/(-20) + (-66)/(-4). Let v = 35/2 - u. Solve -v*r**4 - 4/5 + 4/5*r**3 - 2/5*r + 8/5*r**2 - 2/5*r**5 = 0 for r.
-2, -1, 1
Suppose 9 - 2 = -h. Let t = 11 + h. Suppose -14 - 6 + 24*x - 17 - t*x**2 + 1 = 0. What is x?
3
Let n(d) be the second derivative of 0 + 0*d**4 - 1/42*d**7 + 0*d**3 + 0*d**2 + 0*d**5 + 14*d + 1/30*d**6. Let n(q) = 0. Calculate q.
0, 1
Let b(r) = -r**5 + r**4 + r**3 - r**2 + 2. Let j(z) = -3*z**5 - 13*z**4 - 13*z**3 - 3*z**2 - 2. Let a(d) = -b(d) - j(d). Find g, given that a(g) = 0.
-1, 0
Let u = 25 + -23. Factor 1484*j**2 - 5 - 1489*j**u + 35 + 5*j.
-5*(j - 3)*(j + 2)
Suppose 0*i**2 + 1/4 - 1/4*i**4 - 1/2*i + 1/2*i**3 = 0. What is i?
-1, 1
Let h(a) = -4*a**4 - 13*a**3 + 30*a**2 - 3*a - 3. Let v(r) = r**4 + r + 1. Let j(k) = -2*h(k) - 6*v(k). Solve j(u) = 0.
-15, 0, 2
Let q(o) be the first derivative of -2*o**3/3 + 24*o**2 + 50*o + 122. Factor q(m).
-2*(m - 25)*(m + 1)
Let z(m) be the second derivative of -m**7/168 - m**6/40 - m**5/40 + m**4/24 + m**3/8 + m**2/8 - 162*m. Factor z(o).
-(o - 1)*(o + 1)**4/4
Determine c so that 1/4*c**3 + 435/2*c**2 + 63075*c + 6097250 = 0.
-290
Let o be (-312)/(-22) + -7 + 150/22. Suppose 3*p + 3*h + 14 = -2*h, 0 = p - 3*h - o. Factor 0 - 1/2*w - 7/6*w**p.
-w*(7*w + 3)/6
Let b(w) = 25*w**2 - 20*w + 9. Let o(a) = -1. Suppose -6*x + 3*x - 117 = 0. Let r = -19 - x. Let z(v) = r*o(v) + 4*b(v). Let z(k) = 0. What is k?
2/5
Let a(p) = -p**4 + 3*p**3 - p**2 - p - 1. Let w(z) = 4*z**4 - 14*z**3 + 42*z**2 + 40*z + 5. Let t(f) = -5*a(f) - w(f). Factor t(g).
g*(g - 7)*(g + 1)*(g + 5)
Suppose 0 = y - 46 + 43. Factor 0 + 2/3*g**y + 0*g + 2/3*g**2.
2*g**2*(g + 1)/3
Let x(g) be the second derivative of -1/12*g**4 + 0*g**5 + 34*g - 1/9*g**3 + 0 + 0*g**2 + 1/90*g**6. Factor x(t).
t*(t - 2)*(t + 1)**2/3
Let r(h) be the third derivative of -h**5/12 + 35*h**4/24 + 20*h**3/3 - 246*h**2. Determine d, given that r(d) = 0.
-1, 8
Determine g, given that -g**3 + 18*g + 8647*g**4 - 8*g**3 + 14*g**2 - 8651*g**4 - 9*g**3 - 10 = 0.
-5, -1, 1/2, 1
Factor 0*g + 0 + 2/15*g**3 - 4/15*g**2.
2*g**2*(g - 2)/15
Let n = -5 - -7. Let a be 1 + (n - 19/7). Factor 2/7*t - 6/7*t**2 + a*t**4 - 2/7*t**3 + 4/7.
2*(t - 2)*(t - 1)*(t + 1)**2/7
Let l(p) be the second derivative of 1/18*p**4 - 1/90*p**5 - 2/9*p**2 - 1/135*p**6 - 15*p + 0 + 1/27*p**3. Determine c so that l(c) = 0.
-2, -1, 1
Factor -67 - 69 + 122*j**2 + 42*j**2 - 108*j + 152 + 48*j**3.
4*(j + 4)*(3*j - 1)*(4*j - 1)
Let z(n) be the third derivative of n**8/336 - 11*n**7/70 + 71*n**6/20 - 269*n**5/6 + 2775*n**4/8 - 3375*n**3/2 + 229*n**2. Factor z(r).
(r - 9)**2*(r - 5)**3
Let b = 184 + -180. Let f(o) be the second derivative of 1/35*o**5 + 0*o**2 + 0*o**3 + 2*o + 0 - 1/105*o**6 - 1/42*o**b. Suppose f(j) = 0. Calculate j.
0, 1
Let r(p) be the second derivative of -1/56*p**7 + 11*p + 0*p**2 + 0*p**3 + 0*p**4 + 0*p**6 + 3/80*p**5 + 0. Factor r(t).
-3*t**3*(t - 1)*(t + 1)/4
Suppose -226 = -3*p - 214. Let a(y) be the first derivative of -1/5*y**5 - 2*y**2 - 4 + 1/2*y**p - 4*y + y**3. Find f such that a(f) = 0.
-1, 2
Let a = 15596 - 15594. Determine v so that 0*v**3 - 2/15*v**5 - 2/15*v**4 + 0 + 0*v**a + 0*v = 0.
-1, 0
Factor -2/3 - 2/9*n**4 - 4/3*n**3 - 8/3*n**2 - 20/9*n.
-2*(n + 1)**3*(n + 3)/9
Let c(o) be the first derivative of o**3/3 + 23*o**2/2 + 132*o - 91. Let q be c(-11). Factor 0*j**3 + 0*j - 1/4*j**4 + 0 + q*j**2.
-j**4/4
Factor 78/5*x**3 + 3/5*x**5 - 54/5*x**2 - 81/5*x - 27/5*x**4 + 81/5.
3*(x - 3)**3*(x - 1)*(x + 1)/5
Let y(f) be the second derivative of -f**7/84 - f**6/30 + 3*f**5/40 + 3*f - 29. Let y(d) = 0. What is d?
-3, 0, 1
Let i(t) be the second derivative of 1/60*t**5 + t + 0*t**3 + 0*t**2 + 0 + 0*t**4. Factor i(q).
q**3/3
Suppose 2*k - 2 = 3*n, 5*n + 1 + 2 = 3*k. Let l(c) = 2*c**2 + 3. Let s(g) be the first derivative of -g**3/3 - 1. Let d(b) = k*l(b) + 5*s(b). Factor d(r).
-3*(r - 1)*(r + 1)
Let n(m) = m**3 + m**2. Let h(w) = w + 2. Let k be h(-7). Let x(j) = -4*j**3 - 6*j**2 - j + 1. Let b(l) = k*n(l) - x(l). Factor b(y).
-(y - 1)**2*(y + 1)
Let d(f) = -7*f**2 + 6*f - 2. Let z(p) = 6*p**2 - 4*p + 3. Let k(w) = -5*d(w) - 6*z(w). Factor k(c).
-(c + 2)*(c + 4)
Suppose 96 + 108 = 4*f. Factor 6*y + 3*y**3 - f*y**2 + 123*y**2 - 63*y**2.
3*y*(y + 1)*(y + 2)
Let i be (-20)/(-10) + 3*1. Suppose i = 3*y - 4. Factor 2*t**4 + 6*t - 15*t**y - 11*t**4 - 3*t**4 + 29*t**2 - 8*t**2.
-3*t*(t - 1)*(t + 2)*(4*t + 1)
Determine p so that -85*p**3 + 720 - 555*p - 225*p + 20*p**2 - 6*p**4 + p**4 + 130*p**3 = 0.
-4, 1, 6
Let s = 162 - 108. Factor 6 - 13*p - 2 - 2*p**2 - 7*p - s.
-2*(p + 5)**2
Let r = 5 - 3. Suppose b + 4*u - 6 = 0, -u - 3 = 5*b - 14. Factor 2 + 0*j**2 - b + j**3 - j**r.
j**2*(j - 1)
Let x(k) be the second derivative of -k**4/15 + 2*k**3/15 - 3*k. Let x(j) = 0. What is j?
0, 1
Let a be 5/180*-9 + (-23)/(-60). Let g(u) be the second derivative of 0 - 2/5*u**5 + 0*u**4 + 2*u**2 + 4/3*u**3 - a*u**6 + 11*u. Factor g(r).
-4*(r - 1)*(r + 1)**3
Let p(g) be the second derivative of -g**5/160 - g**4/12 - 7*g**3/48 - 2*g + 21. Factor p(i).
-i*(i + 1)*(i + 7)/8
Let b(o) be the first derivative of -7 + 0*o + 3/10*o**2 + 1/5*o**3. Factor b(h).
3*h*(h + 1)/5
Let x(p) = -3*p - 5. Let u be x(-3). Suppose w**2 - 50*w**4 + 52*w**u + w**2 + 4*w**3 = 0. Calculate w.
-1, 0
Suppose -i - 5*w = 8, -i = -4*w - 8 - 2. Let v be (4 - (2 + 0)) + 3. Factor -v + i*s - 2*s**3 + 5.
-2*s*(s - 1)*(s + 1)
Factor -2/15*o**2 + 0 + 0*o + 0*o**3 + 2/15*o**4.
2*o**2*(o - 1)*(o + 1)/15
Find n such that -71 - 5*n**2 + 134 + 2*n**2 + 75 + 63*n = 0.
-2, 23
Suppose -4*d = k + 19, 5*k - 12 = d - 2. What is z in 2*z - 7/4*z**5 + 19/4*z**4 + k - 1/4*z**3 - 23/4*z**2 = 0?
-1, -2/7, 1, 2
Let k = -6007 - -12015/2. Factor -3/2*b**3 - k*b**4 + 0 + 1/2*b**2 + 3/2*b.
-b*(b - 1)*(b + 1)*(b + 3)/2
Let g(k) be the second derivative of -k**9/15120 + k**8/4200 - k**7/4200 + 4*k**3/3 + 9*k. Let m(q) be the second derivative of g(q). Factor m(c).
-c**3*(c - 1)**2/5
Let b(z) be the first derivative of z**6/9 - 2*z**5/3 - 7*z**4/3 - 4*z**3/9 + 13*z**2/3 + 14*z/3 - 312. Find k, given that b(k) = 0.
-1, 1, 7
Let y(q) be the first derivative of -16/21*q**3 + 0*q + 16/7*q**2 - 12 + 1/14*q**4. Factor y(p).
2*p*(p - 4)**2/7
Suppose -4*x - 2 = -10. Let l be x/(-4)*12/(-3). Factor -2*o**2 + 4 - l - 2 + 2*o.
-2*o*(o - 1)
Factor -7 - 298*l**2 - 113 + 158*l**2 - 187*l - 8*l**3 - 121*l.
-4*(l + 2)*(l + 15)*(2*l + 1)
Let c(g) be the first derivative of -8*g**6/3 + 204*g**5/5 - 179*g**4 + 896*g**3/3 