 43*y + 21. Let k(j) = 10*b(j) + 6*r(j). Suppose k(a) = 0. Calculate a.
-2, -2/7, 1
Let i(h) = -h + 4. Let g(t) = t**3 + 9*t**2 + 9*t + 12. Let z be g(-8). Let p be i(z). Find l, given that 1/3*l**4 + p*l**2 + 0*l + 1/3*l**3 + 0 = 0.
-1, 0
Let u(x) = -3*x**3 - 9*x**2 + 3. Let b(g) = 2*g**2 + 1 + 0 - 3*g**2. Let a(l) = -3*b(l) + u(l). Find f, given that a(f) = 0.
-2, 0
Let p(m) be the third derivative of m**5/80 - 5*m**4/32 + 3*m**3/4 + 22*m**2. Suppose p(o) = 0. What is o?
2, 3
Let m(u) = 21*u**2 + 14*u + 5. Let s(f) = -f**2 + f. Let b(o) = -m(o) - 6*s(o). Solve b(t) = 0 for t.
-1, -1/3
Factor 0*w + 0 - 8/5*w**3 + 0*w**2 + 4/5*w**4.
4*w**3*(w - 2)/5
Let h(j) be the second derivative of -j**4/3 + 4*j**3/3 + 6*j**2 - 5*j. Factor h(y).
-4*(y - 3)*(y + 1)
Suppose -p + a = -10 + 13, -2*a = -5*p. Factor 1/2*q**p - 1/4*q + 7/4*q**3 + q**4 + 0.
q*(q + 1)**2*(4*q - 1)/4
Let d(k) be the second derivative of -1/16*k**4 + 3/2*k**2 + 0 + 1/120*k**5 + 1/6*k**3 - k. Let q(y) be the first derivative of d(y). Solve q(b) = 0 for b.
1, 2
Let u(y) be the second derivative of y**6/600 + 3*y**5/200 + y**4/20 - y**3/6 + 5*y. Let o(l) be the second derivative of u(l). Suppose o(c) = 0. Calculate c.
-2, -1
Let a(v) be the second derivative of -v**7/105 - v**6/60 + v**5/30 + v**4/12 + 3*v**2/2 - 2*v. Let f(c) be the first derivative of a(c). Factor f(d).
-2*d*(d - 1)*(d + 1)**2
Suppose -1 + 2 = -q. Let a be (q/(-3))/(2/18). Suppose -6*t**2 + 2*t**5 + 5*t**5 + 5*t**5 + a*t**2 + 3*t**4 - 12*t**3 = 0. Calculate t.
-1, -1/4, 0, 1
Let o(f) be the first derivative of f**6/54 - 2*f**5/15 + 7*f**4/18 - 16*f**3/27 + f**2/2 - 2*f/9 - 21. Determine v so that o(v) = 0.
1, 2
Suppose -4*i + 5*i = 5. Let w(n) be the third derivative of 3*n**2 + 0 + 0*n - 1/72*n**4 - 1/180*n**i + 0*n**3. Determine r so that w(r) = 0.
-1, 0
Let n be (-18)/(-4) + (-14)/(-28). Suppose 5*q - 8 - 12 = 0. Suppose 7 + m**3 - 6 - 1 - m**2 - m**n + m**q = 0. What is m?
-1, 0, 1
Suppose -1/3*b**4 + 0*b**2 + 0*b + 0 + b**3 = 0. What is b?
0, 3
Let x be (4/90)/((-8)/(-120)*3). Find s, given that 0*s + 0 + 0*s**2 + x*s**3 + 2/9*s**4 = 0.
-1, 0
Let g be (-4)/3 - 15/(-9). Let i be ((-16)/18)/(4/(-6)). Factor -4/3*l + g + i*l**3 - 1/3*l**2.
(l - 1)*(l + 1)*(4*l - 1)/3
Suppose 4*v - 5 - 15 = 0, -4*v + 20 = -w. Let 1/8*r**3 + 1/8*r**5 + w*r + 0*r**2 + 1/4*r**4 + 0 = 0. What is r?
-1, 0
Let c(o) = -4*o**4 - 4*o**3 + 12*o + 4. Suppose -20 = -2*r + 7*r. Let a(w) = -4*w**4 - 3*w**3 + 13*w + 4. Let p(z) = r*a(z) + 5*c(z). Find u such that p(u) = 0.
-1, 1
Let v = 144484/105 - 1376. Let m(s) be the third derivative of -4/35*s**5 + 0 + v*s**6 - 5/28*s**4 + 2*s**2 - 2/21*s**3 + 0*s. Let m(z) = 0. Calculate z.
-1/4, 2
Let z(s) be the second derivative of s**5/100 - s**4/20 + s**3/10 - s**2/2 + 3*s. Let h(m) be the first derivative of z(m). Solve h(u) = 0.
1
Let h(u) = -u**2 + 4*u + 4. Let j be h(4). Factor 3*v**5 - 3*v + j*v**2 + 6*v**4 - 16*v**2 + 6*v**2.
3*v*(v - 1)*(v + 1)**3
Let t(d) be the first derivative of d**6/120 + d**5/80 + d - 3. Let k(i) be the first derivative of t(i). Factor k(v).
v**3*(v + 1)/4
Let h(w) = 4*w**2 + 15*w + 9. Let y be h(-3). Let 2/5*j**3 + y + 2/5*j**2 + 0*j = 0. Calculate j.
-1, 0
Let z = 4 - 3. Let s = 1 + z. Factor 0 + 1/3*g**3 + 0*g + 1/3*g**s.
g**2*(g + 1)/3
Let g(l) = 2*l - 14. Let z be g(8). Let y(r) be the first derivative of 0*r**3 - z - 1/3*r**6 + 0*r**5 + 0*r + 0*r**2 + 1/2*r**4. Factor y(b).
-2*b**3*(b - 1)*(b + 1)
Suppose 5*h + 20 = -4*s, 2*h - 16 = 6*h. Factor 0 + s*p**2 + 0*p + 2/7*p**3 + 2/7*p**4.
2*p**3*(p + 1)/7
Let p(z) = z**2 - z + 1. Let r(a) = 3*a**2 - 4*a + 5. Let s = -18 - -14. Let q(f) = s*p(f) + r(f). Factor q(c).
-(c - 1)*(c + 1)
Factor 3/5*b**2 + 0*b - 6/5*b**3 + 0 + 3/5*b**4.
3*b**2*(b - 1)**2/5
Let k(i) be the first derivative of -9*i**5/5 + 3*i**4 + 2*i**3/3 - 2*i**2 - i - 9. Factor k(j).
-(j - 1)**2*(3*j + 1)**2
Let i(c) be the first derivative of -27*c**5/10 - 45*c**4/4 - 37*c**3/2 - 15*c**2 - 6*c - 7. Find w such that i(w) = 0.
-1, -2/3
Let u(j) = -20*j**4 + 80*j**3 + 232*j**2 + 132*j + 12. Let p(z) = -8*z**4 + 32*z**3 + 93*z**2 + 53*z + 5. Let f(k) = -12*p(k) + 5*u(k). Solve f(n) = 0.
-1, 0, 6
Suppose -3*o = -2*k - 2 - 51, 2*k - 4*o = -56. Let y = 47/2 + k. Suppose y*n**2 + 2*n - 2*n**3 + 1/2*n**4 - 2 = 0. What is n?
-1, 1, 2
Suppose 4*a - 32 = -2*w, 3*w + 5*a + 25 = 7*w. Factor 4*d**2 - w*d**2 + 3 - 8*d + 0 + 11*d.
-3*(d - 1)*(2*d + 1)
Let f(m) be the first derivative of -m**6/3 + 2*m**5/5 + m**4 - 4*m**3/3 - m**2 + 2*m - 3. Factor f(t).
-2*(t - 1)**3*(t + 1)**2
Factor -6*f + 3*f**3 + 3 + 0*f + 3*f**3 - f**4 - 2*f**4.
-3*(f - 1)**3*(f + 1)
Let w(y) be the first derivative of y**4/46 - 4*y**3/23 + 11*y**2/23 - 12*y/23 + 21. Find l, given that w(l) = 0.
1, 2, 3
Let -7*i**5 - 5*i + 4*i + 4*i**5 + i**2 - i**4 + 3*i**3 + i**5 = 0. What is i?
-1, 0, 1/2, 1
Let u be 5/(-10) + (-63)/(-2). Let m be 15/(-25) - u/(-35). Solve -2/7 + 4/7*t - m*t**2 = 0 for t.
1
Let y(o) = o**2 - 4*o - 8. Let w be y(6). Suppose -p = -w*p + 9. What is h in 0*h**2 - 2/7*h**p + 2/7*h + 0 = 0?
-1, 0, 1
Let b be -18*15/(-6) + 0. Let r be (-3)/4 + b/12. Suppose 0*m**2 + 5*m**2 - 3 - 2*m**2 - 3*m + 0 + 3*m**r = 0. What is m?
-1, 1
Suppose -2*g + i + 48 = 0, 3 = 2*i - 1. Find c, given that -g - c**2 - 22 - 2*c + 46 = 0.
-1
What is k in 7/10*k**3 - 8/5*k + 2/5 + 1/2*k**2 = 0?
-2, 2/7, 1
Suppose -5*q - 50 = 2*s, 11 = -5*s - 14. Let y be (-24)/(-32) - 2/q. Factor 2*w**2 - 9/2*w + y.
(w - 2)*(4*w - 1)/2
Find c, given that 1/3*c**3 + 0*c**2 - c + 2/3 = 0.
-2, 1
Let r(x) be the second derivative of 0 + 2*x + 1/2*x**2 - 1/30*x**5 + 0*x**3 - 1/12*x**4. Let t(q) be the first derivative of r(q). Solve t(s) = 0.
-1, 0
Suppose 3*a + 15*t - 11*t = 16, -a = 3*t - 12. Factor 2/5*m**5 + a*m**4 + 4/5*m**2 - 6/5*m**3 + 0 + 0*m.
2*m**2*(m - 1)**2*(m + 2)/5
Let x = 8 + -5. Solve x*i**4 + 3*i + 2*i**2 - 3*i + 2*i**3 - 7*i**3 = 0.
0, 2/3, 1
Let j be 1 - (-1)/(-5)*93. Let z = j - -18. Factor -2/5 - z*c**3 - 6/5*c**2 - 6/5*c.
-2*(c + 1)**3/5
Let g = 487 - 487. Factor 1/2*r**3 + 1/2*r**2 + 0 + g*r.
r**2*(r + 1)/2
Let v = -220/23 - -1123/115. Let c = 158/85 - 18/17. Let v + 2/5*m**3 + m**2 + c*m = 0. Calculate m.
-1, -1/2
Suppose 5*f + 0*f - 10 = 0. Factor 0*j - 4 + 4 - 2*j**f - 4*j.
-2*j*(j + 2)
Suppose 2/5*q**2 - 8/5 + 6/5*q = 0. Calculate q.
-4, 1
Let x(g) be the second derivative of -g**6/1260 + g**5/105 - g**4/21 - g**3/2 + g. Let a(u) be the second derivative of x(u). Solve a(f) = 0.
2
Factor -6/17*o + 4/17 + 2/17*o**2.
2*(o - 2)*(o - 1)/17
Let m(a) be the second derivative of -1/30*a**6 - 1/10*a**5 + 1/6*a**4 - 1/2*a**2 + 1/42*a**7 + 0 - a + 1/6*a**3. Factor m(x).
(x - 1)**3*(x + 1)**2
Let l(q) = -q**5 + q**4 - q**3 + q**2 - q. Let b(r) = 3*r**5 - 5*r**4 + 3*r**3 + r**2. Let n(c) = b(c) + 2*l(c). Factor n(v).
v*(v - 2)*(v - 1)**2*(v + 1)
Let u = -18 + 23. Let w(d) be the second derivative of 1/6*d**3 + 1/6*d**4 + 0*d**2 + 1/20*d**u + 0 - d. Factor w(q).
q*(q + 1)**2
Let c = 8 + -44. Let m = 109/3 + c. Factor 2/3*d**2 + 0 + m*d + 1/3*d**3.
d*(d + 1)**2/3
Let v(y) = 9*y**5 + 12*y**4 + 6*y**3 - 12*y**2 - 9*y - 6. Let w(u) = -10*u**5 - 13*u**4 - 7*u**3 + 13*u**2 + 10*u + 7. Let c(s) = 7*v(s) + 6*w(s). Factor c(j).
3*j*(j - 1)*(j + 1)**3
Let g = -117 + 121. Let y(d) be the second derivative of 0 - 1/36*d**4 + 0*d**2 + 1/9*d**3 - g*d. Let y(m) = 0. What is m?
0, 2
Find n such that 8*n - 36*n**2 - 27 + 27 + 30*n**3 - 12*n**4 + 10*n**3 = 0.
0, 1/3, 1, 2
Let s = -5/11 + 31/44. Let n(i) be the first derivative of -1 + i - 1/2*i**2 + s*i**4 - 1/3*i**3. Solve n(r) = 0 for r.
-1, 1
Suppose -p - 5 = -0*p. Let h = p + 5. Factor 5*b**3 - 3*b**3 + h*b**3 - b**3.
b**3
Solve 2/7 - 4/7*a + 4/7*a**3 + 0*a**2 - 2/7*a**4 = 0 for a.
-1, 1
Let x(h) be the first derivative of h**4/6 - 4*h**3/9 - 7*h**2/3 - 8*h/3 - 9. Suppose x(r) = 0. Calculate r.
-1, 4
Let s = 418333/1426858 - 2/24601. Let p = 6/29 + s. Find d, given that -p*d**2 + 2*d - 2 = 0.
2
Let f(i) be the third derivative of 7/108*i**4 - 5/108*i**6 + i**2 + 2/135*i**7 + 1/45*i**5 + 0 - 2/27*i**3 + 0*i. What is k in f(k) = 0?
-1/2, 2/7, 1
Let r(c) be the third derivative of 0*c**3 + 6*c**2 + 0 + 1/80*c**5 - 1/840*c**7 + 0*c + 0*c**6 + 1/48*c**4. Factor r(d).
-d*(d - 2)*(d + 1)**2/4
