14, -5*h = -2*b + 2. Let m be (-234)/(-27) + 2/b. Factor m*v**2 + 7*v**2 - 15*v**2 - 2*v.
v*(v - 2)
Let c = 651 - 651. Find s such that -1/5*s - 2/5*s**2 + c - 1/5*s**3 = 0.
-1, 0
Suppose -14*d - 75 = -19*d. Solve -15*l**2 - 5*l**2 + d*l**4 + 66*l**5 - 61*l**5 = 0.
-2, 0, 1
Suppose 13 = 4*w - 3*z + 4*z, 0 = -w - z + 4. Factor 23*p**4 - 26*p**4 + w + 3*p**5 - 3.
3*p**4*(p - 1)
Let l(z) = -7*z**4 + 22*z**3 - z**2 - 24*z - 3. Let p(a) = 8*a**4 - 24*a**3 + 24*a + 4. Let k(w) = 4*l(w) + 3*p(w). Suppose k(j) = 0. What is j?
-1, 0, 2, 3
Let h = -2155 - -6467/3. Let -h*l**2 + 2 - 4/3*l = 0. Calculate l.
-3, 1
Let k be (-143)/(-169)*-2 - -2. Solve 0 + 2/13*y + 2/13*y**3 - k*y**2 = 0 for y.
0, 1
Let c(l) = 4*l + 47. Let u be c(-11). Factor 70*m - 25*m**2 - u*m**4 - 20*m**2 - 27*m**3 + 5*m.
-3*m*(m - 1)*(m + 5)**2
Let h(w) be the second derivative of 3*w**5/40 + 9*w**4/8 + 27*w**3/4 + 81*w**2/4 + 100*w. Suppose h(n) = 0. What is n?
-3
Suppose -4*o = -r + 26, -o - o - 10 = 0. Suppose -5*z = -d - 15, -r*d + 3*z - 9 = -2*d. Factor 0 - 2*n + 8*n**2 - 16*n**2 + d.
-2*n*(4*n + 1)
Let w(k) be the second derivative of k**3 + 5*k**2 + 0 + 3/8*k**4 - 3*k + 0*k**5 - 1/40*k**6. Let i(s) be the first derivative of w(s). Factor i(g).
-3*(g - 2)*(g + 1)**2
Let f(v) = -v - 2. Suppose -3*r + 4 = 19. Let x be f(r). Factor -u**3 + 39 - 39 - 7*u**2 + 3*u + 6*u**x - u**4.
-u*(u - 3)*(u - 1)**2
Let v(w) be the first derivative of -1/5*w**5 - 1/2*w**4 - 25 + w**2 + 1/3*w**3 + 0*w. Let v(s) = 0. Calculate s.
-2, -1, 0, 1
Let q(k) be the second derivative of -k**4/12 + 19*k**3/30 + 2*k**2/5 - 54*k. Factor q(s).
-(s - 4)*(5*s + 1)/5
Let s(w) = -w**3 + 34*w**2 - 36*w + 101. Let h be s(33). Solve 3*d**h - 1/3*d**3 - 11/3*d + 4/3 - 1/3*d**4 = 0 for d.
-4, 1
Let r be 29/7 + 848/(-742). Let c(v) be the second derivative of -1/10*v**6 - v**r + 0*v**4 + 7*v + 3/10*v**5 + 3/2*v**2 + 0. Determine t, given that c(t) = 0.
-1, 1
Suppose 15 + 1 = 8*j. Determine u, given that 0 - 4*u**3 + j*u + 14*u - 5*u**2 + 4*u**2 + 4 = 0.
-2, -1/4, 2
Let t(b) be the first derivative of 2*b**5/35 + 5*b**4/2 - 24*b**3/7 + 112. Suppose t(y) = 0. Calculate y.
-36, 0, 1
Let a(o) be the third derivative of o**8/1176 - 3*o**7/245 + 31*o**6/420 - 17*o**5/70 + 10*o**4/21 - 4*o**3/7 - 15*o**2. Suppose a(f) = 0. What is f?
1, 2, 3
Factor -36/7 + 2/7*t**3 + 36/7*t**2 - 2/7*t.
2*(t - 1)*(t + 1)*(t + 18)/7
Let a = -51 + 3. Let p be (36/a)/((-2)/8). Determine c so that p*c**5 - 3*c**3 + c**4 - 6 + 6 - 3*c**2 + 2*c**4 = 0.
-1, 0, 1
Let m be 36/24 + (-2)/(-4). Factor 7*u - 3*u**m + u - 14*u.
-3*u*(u + 2)
Find w, given that 17*w**2 + 10 - 7*w + 30 - 12*w**2 - 23*w = 0.
2, 4
Let n(h) be the first derivative of -h**4/120 + h**2/20 - 11*h - 9. Let y(j) be the first derivative of n(j). Factor y(w).
-(w - 1)*(w + 1)/10
Let g(p) be the second derivative of -p**4/3 + 64*p**3/3 - 512*p**2 + p - 5. Factor g(s).
-4*(s - 16)**2
Suppose 0 = -3*f + 4*f - r - 4, 2 = -2*f - 3*r. Find u, given that -1 - 14*u - u**2 - 2*u**3 + 11*u**f + 7 = 0.
1, 3
Let z(n) = -n**2 - 4*n - 2. Let a be z(-3). Let s be a/((6/(-27))/(-2)). Solve -s + 9 + k**2 - k**3 = 0 for k.
0, 1
Let q be (-6)/320*30/(-405). Let w(z) be the third derivative of 1/72*z**4 + 0*z + q*z**6 + 0*z**3 + 0 + 6*z**2 + 1/120*z**5. Factor w(g).
g*(g + 1)*(g + 2)/6
Suppose -9*d + 5*d = -52. Factor 21*a - 9*a**2 - d*a - 3*a**2 + 4*a**3.
4*a*(a - 2)*(a - 1)
Let p(b) = 8*b**5 - 4*b**4 - 8*b**3 - 8*b**2 - 4. Let h(l) = 7*l**5 - 3*l**4 - 9*l**3 - 8*l**2 - 3. Let d(w) = 4*h(w) - 3*p(w). Factor d(g).
4*g**2*(g - 2)*(g + 1)**2
Suppose 0 = 9*u - 4*u - 15. Suppose 4*b + 2*w - u*w - 85 = 0, 0 = -b + 5*w + 7. Factor -3*x**4 - 21*x**3 + b + 2 + 6*x**3 - 10*x - 18*x**2 + 22*x.
-3*(x - 1)*(x + 2)**3
Let t(b) be the third derivative of b**8/112 - 3*b**7/7 + 69*b**6/8 - 95*b**5 + 630*b**4 - 2592*b**3 - 26*b**2. Factor t(y).
3*(y - 9)**2*(y - 4)**3
Let p(i) = i**5 + i**4 - 2*i**3 + 1. Let h(c) = -8*c**5 - 21*c**4 - 4*c**3 + 14*c**2 + 16*c - 1. Let z(t) = h(t) + 4*p(t). Suppose z(k) = 0. Calculate k.
-3, -1, -1/4, 1
Let y be 1188/117 + -10 + 1*556/104. Factor 9/2*n - y*n**2 + 1.
-(n - 1)*(11*n + 2)/2
Let o(h) = -2*h + 27. Let i be o(12). Let 9*k**2 - 15*k + 286*k**i - 4 - 279*k**3 + 3*k = 0. Calculate k.
-2, -2/7, 1
Let n(j) be the third derivative of -j**5/80 - j**4/8 + 45*j**3/8 + 700*j**2. Factor n(p).
-3*(p - 5)*(p + 9)/4
Let g = 13 + -10. Suppose -5*h - g*w = -35, 0 = 4*h - w - 2*w - 1. Factor -8*o - h*o**2 + 217 - 217.
-4*o*(o + 2)
Suppose 19 = -4*o - 17. Let i = -5 - o. Factor t**4 + 3 + 5*t**i - 4*t**4 + t**4 - 6*t**2.
3*(t - 1)**2*(t + 1)**2
Suppose -250*u + 389*u - 556 = 0. Suppose -15/8*a + 3/4 - 3/8*a**u + 9/8*a**2 + 3/8*a**3 = 0. What is a?
-2, 1
Find c such that 1/3*c**3 - 22/3*c**2 + 0 + 7*c = 0.
0, 1, 21
Let a be -12*(11/2 - 6) + -4. Let g(q) be the first derivative of -2/3*q**3 - 1/2*q**4 - 10 + 2*q + q**a. Solve g(d) = 0 for d.
-1, 1
What is f in 157*f + 108*f**2 + 64 - 229*f - 3*f**3 - 999*f + 1670 = 0?
2, 17
Let g(c) = -c**3 - 33*c**2 - 163*c - 25. Let t be g(-27). Factor 2 + 1/2*y**t + 2*y.
(y + 2)**2/2
Let w(b) be the first derivative of -2/3*b**3 - b**2 + 10 + 0*b. Factor w(a).
-2*a*(a + 1)
Let t be (3/(-2))/((-6)/40). Let g be 10/(-4)*(-12)/t. Solve -15*d**2 + 19*d**2 - 3*d - 2*d**g + d = 0 for d.
0, 1
Let q(t) be the second derivative of t**7/630 + 4*t**6/45 + 32*t**5/15 + 3*t**4/4 + t. Let j(c) be the third derivative of q(c). Factor j(g).
4*(g + 8)**2
Let b be 1/(-2 - (786/(-392))/1). Let z = b - 1368/7. Let 2/7*i**3 + 2/7*i - z*i**2 + 0 = 0. What is i?
0, 1
Factor -99/2*x - 1/2*x**2 + 50.
-(x - 1)*(x + 100)/2
Suppose -m - 6 = -4*m. Suppose -2*u = 2*u - 5*j + 2, -6 = -u - m*j. Factor -u*t + t - 196 + 195 + t**2 + t**3.
(t - 1)*(t + 1)**2
Let d(a) = -a**2 + 6*a - 2. Let q(k) = k**2 + 1. Let u(w) = d(w) + 2*q(w). Let u(n) = 0. Calculate n.
-6, 0
Let l(n) be the first derivative of -4 + 1/12*n**3 + 3/4*n + 1/2*n**2. Find y, given that l(y) = 0.
-3, -1
Let f = -749/26 - -394/13. Factor f*a + 0 + 3/2*a**3 - 3*a**2.
3*a*(a - 1)**2/2
Let m = 14 - 16. Let z = m + -2. Let j(u) = -u. Let c(o) = -o**2 - 2*o. Let b(i) = z*j(i) + 2*c(i). Factor b(q).
-2*q**2
Factor 0*a**4 + 7*a**3 - 9*a**4 - 9*a**2 - 6*a**4 + 3*a**5 + 14*a**3.
3*a**2*(a - 3)*(a - 1)**2
Let p = 210658 + -48661903/231. Let q = -6/77 + p. Factor -1/3 - q*s**2 + 2/3*s.
-(s - 1)**2/3
Let p(n) be the second derivative of -3*n**5/160 + 87*n**4/32 - 2523*n**3/16 + 73167*n**2/16 + 41*n. Factor p(a).
-3*(a - 29)**3/8
Let x be 40/(-50) - (-3)/((-15)/(-284)). Let -x*a - 74 + 0*a**2 - 318 + 4*a**2 - 6*a**2 = 0. Calculate a.
-14
Let k(w) be the second derivative of -w**5/10 + w**4/2 + 21*w**3/4 + 27*w**2/2 + 188*w. Factor k(g).
-(g - 6)*(2*g + 3)**2/2
Suppose -4*l + 226 + 122 = 0. Suppose j - l = -4*d, d = -j + 21 - 3. Factor -23*p**3 - p**2 + p**4 + d*p**3.
p**2*(p - 1)*(p + 1)
Let s = -197 - -197. Let t(u) be the second derivative of 1/2*u**2 + 0*u**3 + u + 1/30*u**6 + s + 0*u**5 - 1/6*u**4. Factor t(q).
(q - 1)**2*(q + 1)**2
Suppose 0 = s + 9 - 0. Let t(g) = g**2 + 10*g + 13. Let v be t(s). Factor 32*u**2 + 6*u**v - 16*u**4 - 36*u**2 + 14*u**3.
-2*u**2*(u - 1)*(5*u - 2)
Suppose -3*f = -5*h + 23, 2*h - 3*f = -f + 10. Let m(n) be the second derivative of 0 - 1/40*n**5 - 5/12*n**3 + 1/2*n**2 + h*n + 1/6*n**4. Factor m(c).
-(c - 2)*(c - 1)**2/2
Let j = 14 + -12. Suppose 9 = y - b, -2*y - j*b = 2*y - 12. Suppose -6*d + 6*d**2 - 10*d**2 - y*d**2 = 0. Calculate d.
-2/3, 0
Let v(o) = -7*o**2 + 187*o + 54. Let t be v(27). Determine n, given that 0 + 1/10*n**2 + t*n = 0.
0
Let q be 18/(-14)*(15/6 - (-56)/(-16)). Find g such that -2/7 - q*g + 11/7*g**2 = 0.
-2/11, 1
Let 17/5*r + 52/5*r**2 + 54/5*r**3 + 0 + 4*r**4 + 1/5*r**5 = 0. Calculate r.
-17, -1, 0
Let l(s) be the third derivative of 1/30*s**5 + 1/30*s**6 - 1/6*s**4 + 14*s**2 + 0*s**3 + 0 - 1/105*s**7 + 0*s. Factor l(x).
-2*x*(x - 2)*(x - 1)*(x + 1)
Factor 3/7*k**2 + 3*k**4 - 33/7*k**3 + 0 + 9/7*k.
3*k*(k - 1)**2*(7*k + 3)/7
Let k = -111 - -111. Let o(u) be the third derivative of 1/20*u**5 - 1/4*u**4 - 2*u**2 + 0*u + 0*u**3 + k. Let o(f) = 0. What is f?
0, 2
Let o(i) = -4*i**2 + 10*i - 6. Let n(x) = x**2 - x + 1. Let j(l) = 11*l - 1. Let s be j(-1). Let b(m) = s*n(m) - 2*o(m). Factor b(h