Suppose 0 = -2*b + 23 - 9. Suppose 6*t + b = 5*d + 3*t, 2*t = 3*d - 4. Let 2 + 2*m**4 - 2*m**3 - 3*m**3 + 2*m**5 + 2*m + m**3 - 4*m**d = 0. What is m?
-1, 1
Let s(m) be the second derivative of 0*m**3 + 0 + 0*m**2 + 1/24*m**4 + 3/80*m**5 + 2*m - 1/168*m**7 + 0*m**6. Factor s(z).
-z**2*(z - 2)*(z + 1)**2/4
Factor -76*z**2 - 170*z + 77*z + 85*z - 13*z**4 - 224*z**3 - 179*z**4.
-4*z*(3*z + 2)*(4*z + 1)**2
Let z(y) be the second derivative of y**5/140 - y**3/42 - 6*y. Factor z(f).
f*(f - 1)*(f + 1)/7
Let t(z) be the third derivative of z**6/480 - z**5/80 + z**4/48 - 7*z**2. Factor t(p).
p*(p - 2)*(p - 1)/4
Suppose 8*r + 12*r = 0. Let k(h) be the second derivative of 0*h**3 + 1/30*h**4 + r - 1/50*h**5 + 0*h**2 - 3*h. Find j such that k(j) = 0.
0, 1
Let v(a) be the first derivative of -a**8/2520 - a**7/1260 + a**6/180 + a**5/36 + a**4/18 + 4*a**3/3 + 3. Let q(z) be the third derivative of v(z). Factor q(b).
-2*(b - 2)*(b + 1)**3/3
Suppose -8*g - 10 + 58 = 0. Suppose -g*k = -3*k. Solve -1/4*h**2 + k*h + 0 = 0.
0
Let x be -2 - (-3 - -4) - -7. Suppose x*j - 13 + 4 = d, -5*d = 3*j - 24. Factor 0*m**3 - 5*m**d + 3*m**2 + 2*m**3.
-3*m**2*(m - 1)
Let t(u) = -u**2 + 11*u - 12. Let i be t(10). Let s be 0/(i*(-2 + 3)). Factor -4/7*p + s + 2/7*p**2.
2*p*(p - 2)/7
Suppose 102*o - 56 = 74*o. Factor -8/5 + 0*q + 2/5*q**o.
2*(q - 2)*(q + 2)/5
Suppose 1/2*d**3 - 9/2 - 7/2*d**2 + 15/2*d = 0. Calculate d.
1, 3
Let f be (-5)/(-3)*(-6)/(-5). Factor 4/5*t**4 + 4/5 - 3/5*t**f + 11/5*t**3 - 16/5*t.
(t - 1)*(t + 2)**2*(4*t - 1)/5
Let n = 135 + -539/4. Suppose 0 + n*a + 1/4*a**2 = 0. What is a?
-1, 0
Let i(n) = 3*n**4 + 12*n**2 + 6*n - 3. Let b(v) = -4*v**4 - 13*v**2 - 7*v + 3. Let y(u) = -6*b(u) - 7*i(u). Suppose y(t) = 0. What is t?
-1, 1
Let h = 16 - 8. Factor -3 - 8*r - h - 2*r**2 + 5.
-2*(r + 1)*(r + 3)
Let r(g) be the third derivative of g**8/6048 + g**7/3780 - g**6/1620 - g**4/12 + 3*g**2. Let t(l) be the second derivative of r(l). Solve t(p) = 0.
-1, 0, 2/5
Let h(l) be the second derivative of l + 0*l**2 + 0 + 1/6*l**3 + 1/20*l**5 + 1/6*l**4. Factor h(i).
i*(i + 1)**2
Let n(i) be the first derivative of -i**3/4 + 3*i**2/4 + 9*i/4 - 14. Factor n(c).
-3*(c - 3)*(c + 1)/4
Let c = 1 - -2. Suppose -6*n - 4*f = -3*n, c*f = n. Determine l so that -2/3*l**3 - 2/3*l**4 + 0*l + 0*l**2 + n = 0.
-1, 0
Let i(u) = 4*u + 7. Let l(s) = -11*s - 20. Let x(g) = -17*i(g) - 6*l(g). Let y be x(-1). Find a such that 2*a - 2*a**3 + a**y - a**3 + 0*a**3 = 0.
-1, 0, 1
Let j(q) be the first derivative of -q**4 + 4*q**3/3 + 2*q**2 - 4*q - 1. Suppose j(d) = 0. What is d?
-1, 1
Let a be (3/4)/(4/(20/15)). Factor 1 + 5/4*z**2 - 2*z - a*z**3.
-(z - 2)**2*(z - 1)/4
Find u, given that -6 + 107*u**3 - u - 214*u**3 + 4*u**2 + 106*u**3 = 0.
-1, 2, 3
Let j(x) = x**3 - 3*x**2 - 11*x + 7. Let l be j(5). Let b(n) be the second derivative of 0 - 1/21*n**3 + 0*n**l - 2*n + 1/42*n**4. Find m, given that b(m) = 0.
0, 1
Let o(p) = -7*p**2 - p + 6. Let m(h) = -3 + 1 - 3 + 8*h**2 + h - 2. Let d(z) = -6*m(z) - 7*o(z). Factor d(b).
b*(b + 1)
Let k(j) be the third derivative of -j**6/600 - j**5/150 + j**4/120 + j**3/15 - 4*j**2. Factor k(v).
-(v - 1)*(v + 1)*(v + 2)/5
Let v be (4 + -3)/((-1)/(-2)). Let b(s) be the first derivative of 9/4*s**4 + v + 0*s + 1/2*s**2 - 5/3*s**3 - 7/5*s**5 + 1/3*s**6. Factor b(c).
c*(c - 1)**3*(2*c - 1)
Let o(y) be the second derivative of 2/3*y**4 + 0*y**2 + 1/30*y**6 + 0 + 1/4*y**5 + 4*y + 2/3*y**3. Factor o(g).
g*(g + 1)*(g + 2)**2
Let j(y) be the second derivative of -9*y**5/100 - y**4/20 + 6*y**3/5 + 6*y**2/5 + 7*y. Solve j(p) = 0.
-2, -1/3, 2
Suppose 3*t = -5*u + 5 + 5, -u = 1. Let s(m) = -12*m**2 + 25*m - 3. Let d(f) = -6*f**2 + 13*f - 1. Let q(n) = t*d(n) - 3*s(n). Factor q(i).
2*(i - 1)*(3*i - 2)
Let i be (15 - -3)/2 + 1. Factor 1 + 0 + 9*q**2 - i*q**2.
-(q - 1)*(q + 1)
Factor 4/5*s**4 - 12/5*s - 8/5 + 12/5*s**3 + 4/5*s**2.
4*(s - 1)*(s + 1)**2*(s + 2)/5
Let u(y) = y**2 - 2*y - 1. Let g be u(3). Factor -2*b + 2*b + b**g - b.
b*(b - 1)
Let n(c) be the second derivative of -3/4*c**2 + 0*c**3 - 4*c + 0 + 1/8*c**4. Suppose n(m) = 0. What is m?
-1, 1
Let t(o) be the first derivative of -2*o**3/21 + 3*o**2/7 - 4*o/7 - 9. Factor t(p).
-2*(p - 2)*(p - 1)/7
Let t be 20/6 - (-17 - -20). Solve 0*f - 1/3 + t*f**2 = 0.
-1, 1
Suppose 4*i = -4*r + 40, -i = 3*r - 6 - 14. Let -2*m**3 - m + m**4 + 2*m**2 - 1/5*m**r + 1/5 = 0. Calculate m.
1
Let c(i) be the first derivative of i**5/20 - i**4/8 + i**2/4 - i/4 - 6. Suppose c(y) = 0. What is y?
-1, 1
Let l(o) = 3*o**2 - 21*o + 11. Let n(t) = -2*t**2 + 10*t - 6. Let j(r) = -6*l(r) - 11*n(r). Factor j(b).
4*b*(b + 4)
Let v(b) be the second derivative of b**7/11340 + b**6/3240 - b**5/270 + b**4/12 + 2*b. Let r(d) be the third derivative of v(d). What is q in r(q) = 0?
-2, 1
Determine g, given that 0 - 2/7*g**2 - 6/7*g**3 + 4/7*g**5 + 2/7*g**4 + 2/7*g = 0.
-1, 0, 1/2, 1
Let q(i) = -3*i + 6. Let f be q(-4). Let r be (-12)/f + 8/6. What is w in r + 16*w**3 - 4*w + 32/3*w**4 + 2/3*w**2 = 0?
-1, 1/4
Let t(r) = -r**2 - r. Let z(f) = -10*f**2 - 7*f. Let l(p) = -36*t(p) + 4*z(p). Factor l(c).
-4*c*(c - 2)
Let c(g) = g + 12. Let s be c(0). Suppose -6*q + 2*q + s = 0. Factor -2/5*t**4 + 4/5*t**2 + 0*t**q - 2/5 + 0*t.
-2*(t - 1)**2*(t + 1)**2/5
Find l such that -4*l**4 + 64*l**3 + l**2 + 8*l + 3*l**2 - 72*l**3 = 0.
-2, -1, 0, 1
Let v = -6 + 8. Let g be (-116)/(-36) - (-2 - -5). Factor -g - 2/9*t**v - 4/9*t.
-2*(t + 1)**2/9
Let l be 0*-1*(-2)/((-42)/7). Let s = -4 + 6. Factor 0 + l*k - 2/5*k**3 + 2/5*k**s.
-2*k**2*(k - 1)/5
Let t(f) be the second derivative of 2/15*f**4 + 1/50*f**5 + 2/5*f**2 + 0 - 10*f + 1/3*f**3. Suppose t(w) = 0. Calculate w.
-2, -1
Let x(p) be the first derivative of 2*p**6/15 + 4*p**5/5 + 5*p**4/3 + 4*p**3/3 + p - 10. Let f(g) be the first derivative of x(g). Factor f(t).
4*t*(t + 1)**2*(t + 2)
Suppose -3*s + 10 = 2*g - 3, -4*s + 20 = 4*g. Let l(u) be the first derivative of 0*u - 1/6*u**g + 3 + 1/12*u**4 + 0*u**3. Factor l(c).
c*(c - 1)*(c + 1)/3
Let p be 1/1 - -1 - -4. Let b = 16 - 9. Factor b*f**2 + 2*f**3 + 2*f**4 - 2*f - p*f**2 - 3*f**2.
2*f*(f - 1)*(f + 1)**2
Suppose 20*n - 155 = -55. Determine k so that -2*k**2 + 0 + 0*k - 8*k**3 + 25/2*k**n - 5/2*k**4 = 0.
-2/5, 0, 1
Let y(x) be the second derivative of x**8/43680 + x**7/4095 + x**6/1170 - x**4/12 + 2*x. Let r(s) be the third derivative of y(s). Find d such that r(d) = 0.
-2, 0
Let w = -29 + 20. Let o(s) = -2*s**2 + 4*s - 2. Let x(l) = -5*l + 0 - 5*l**2 - 4 + 14*l. Let n(c) = w*o(c) + 4*x(c). Factor n(r).
-2*(r - 1)*(r + 1)
Let f(q) be the second derivative of -q**9/1134 + q**8/504 - q**7/2520 - q**6/1080 - q**3/3 - 4*q. Let z(s) be the second derivative of f(s). Solve z(r) = 0.
-1/4, 0, 1/2, 1
Let j be (-2)/(-16) + (-3)/24. What is g in 1/2*g**3 + 0*g + 0*g**2 + j = 0?
0
Let b(m) be the second derivative of -4/39*m**3 + 4/13*m**2 - 5*m + 0 + 1/78*m**4. Factor b(p).
2*(p - 2)**2/13
Factor 2*y + 3 - 6*y + 2*y**2 - 6 + 5.
2*(y - 1)**2
Let h(z) be the first derivative of 0*z**4 + 0*z**3 + 1/120*z**6 + 1 + 0*z + z**2 - 1/60*z**5. Let l(q) be the second derivative of h(q). Factor l(u).
u**2*(u - 1)
Let t(i) = -4*i + 8. Let f be t(6). Let z be (f/10)/(6/(-15)). Factor 3*x + x**z + x**5 - x - 2*x.
x**4*(x + 1)
Suppose 0*g + 2*g = 4. Let i(s) = -s**4 - s**3 + 3*s**2 - s. Let v(r) = 4*r**3 + 4*r**4 - 3*r**4 - 3*r**3 - 2*r**3. Let a(p) = g*v(p) + i(p). Factor a(t).
t*(t - 1)**3
Let w = -613 + 3073/5. Suppose 2/5*j**2 + w - 8/5*j = 0. Calculate j.
2
Let w(f) be the first derivative of 5*f**6/6 + 18*f**5/5 + 11*f**4/2 + 8*f**3/3 - 3*f**2/2 - 2*f + 5. Factor w(p).
(p + 1)**4*(5*p - 2)
Suppose 0 = -l + t + 11, -2*l - 25 = -5*l - t. Let g = l + -7. Factor -2/3*b + 4/3 - 2/3*b**g.
-2*(b - 1)*(b + 2)/3
Let u(i) be the first derivative of -2/15*i**3 + 0*i + 1/10*i**4 - 1/5*i**2 - 2 + 2/25*i**5. Suppose u(w) = 0. What is w?
-1, 0, 1
Let z be 0 + 6*(-3)/(-9). Let f(x) = 2*x**2 - 4*x + 4. Let c be f(z). Factor 6*k**2 + 2*k**c + 15/2*k**3 - 2*k + 0.
k*(k + 2)**2*(4*k - 1)/2
Let z(b) = -b**3 - b**2 + b. Suppose 4*y + 15 + 13 = 0. Let g = y - -8. Let w(s) = 3*s**3 - s**2 - 3*s + 2. Let k(v) = g*w(v) + z(v). Factor k(i).
2*(i - 1)**2*(i + 1)
Let o(x) be the first derivative of -x**4/20 - 2*x**3/15 - 14. F