t f(b) = 0. Calculate b.
-1, 0
Let k(s) = -4*s - 16. Let t be k(-5). Factor 0*f + 0 - 2/5*f**3 + 2/5*f**5 - 2/5*f**t + 2/5*f**2.
2*f**2*(f - 1)**2*(f + 1)/5
Suppose 0*h + 3 = h. Determine a so that -a - a**2 - a**2 + h*a = 0.
0, 1
Let j(s) be the first derivative of 2*s**3/9 - 5*s**2/12 + s/6 - 15. Factor j(t).
(t - 1)*(4*t - 1)/6
Let p(y) = y**2 + 7*y. Let t be p(-8). Let j = t - 5. Suppose -z**4 - z - j*z**2 + 5*z**4 - z**2 + z**3 = 0. Calculate z.
-1, -1/4, 0, 1
Find h such that -16*h**3 - 24*h**2 + 8*h + 30*h**3 - 2*h + 4 = 0.
-2/7, 1
Let y = -54 + 56. Factor 8/5 + 2/5*b**y - 8/5*b.
2*(b - 2)**2/5
Suppose 4 + 6 = 2*o. Suppose -y = o*x - 6 - 3, -1 = y. Let -7*m + x*m**2 + 7*m = 0. Calculate m.
0
Let z(s) = s**2 + 2*s - 1. Let r be z(1). Factor -r*b**2 + 0*b**4 - 11 + 11 - b**4 - 3*b**3.
-b**2*(b + 1)*(b + 2)
Factor -9*y - 14*y + 30*y + 16*y**2 + 7*y - 12 - 10*y**3.
-2*(y - 2)*(y + 1)*(5*y - 3)
Solve 3*m - 15/2*m**2 - 27/2*m**3 + 0 + 15/2*m**4 + 21/2*m**5 = 0.
-1, 0, 2/7, 1
Let f be 6/(-5)*300/18. Let k be 22/f - 9/(-6). Factor 2/5*w**5 + 0*w + 0 - k*w**3 + 2/5*w**2 - 2/5*w**4.
2*w**2*(w - 1)**2*(w + 1)/5
Let f(h) be the second derivative of 3*h**2 - 6*h + 0 - 3/20*h**5 - 5/2*h**3 + h**4. Factor f(u).
-3*(u - 2)*(u - 1)**2
Let b(x) be the second derivative of x**4/6 - x**2 - x. Let b(j) = 0. What is j?
-1, 1
Factor -8*c + 0 + 1 + 6*c**2 + 5 - 4.
2*(c - 1)*(3*c - 1)
Let p(h) be the first derivative of -h**4/4 + 5*h**3/3 - 2*h**2 + 17. Factor p(i).
-i*(i - 4)*(i - 1)
Let p(w) = w**4 - 61*w**3 + 312*w**2 - 451*w + 196. Let d(y) = -4*y**4 + 304*y**3 - 1560*y**2 + 2256*y - 980. Let l(f) = 3*d(f) + 16*p(f). Solve l(g) = 0.
1, 7
Suppose -1/3*x**5 - 1/3*x + 2/3*x**4 + 2/3*x**3 - 4/3*x**2 + 2/3 = 0. Calculate x.
-1, 1, 2
Factor -15*d**2 - 15*d**3 + 1 - 5*d + 11*d**4 - 16*d**4 - 1.
-5*d*(d + 1)**3
Let s = 10 + -7. Suppose 4*f - 3 = s*f. Suppose -j**5 + 2*j + 4*j**3 + 8*j**4 + 8*j**2 + 3*j**5 + 8*j**f = 0. What is j?
-1, 0
Let x(b) be the first derivative of b**7/420 - b**6/300 - b**5/150 + b**3 - 1. Let r(i) be the third derivative of x(i). Determine m, given that r(m) = 0.
-2/5, 0, 1
Let m(t) be the second derivative of 1/50*t**5 + 1/75*t**6 + 0*t**2 + 0*t**4 + 0*t**3 - 5*t + 0. Solve m(x) = 0.
-1, 0
Let u(m) = m**2 + m - 4. Suppose -5*q + 2*t - 15 = -6, 3*t + 24 = -5*q. Let z be u(q). Factor 2/7*g**3 + 0 + 2/7*g - 4/7*g**z.
2*g*(g - 1)**2/7
Let i be (5 - 2)/3 - -5. Suppose 4*b + 0 = 3*t + 17, 3*b + 4*t + i = 0. Solve 1 - 5/4*m**2 + b*m = 0.
-2/5, 2
Let l be 3 - ((-70)/(-15) + -2). Let y be -1*((-24)/(-9) - 3). Suppose l*u**2 + 0 + y*u = 0. Calculate u.
-1, 0
Let s(y) be the third derivative of 0*y**3 - 1/20*y**5 + 0*y - 5*y**2 + 0 + 1/4*y**4. Determine u, given that s(u) = 0.
0, 2
Let a be 7 + -12 + 189/33. Factor 10/11*o**4 + 0 - 24/11*o**3 + 0*o + a*o**2.
2*o**2*(o - 2)*(5*o - 2)/11
Let d(g) = g + 11. Let c be d(-8). Solve 5*u**2 - c*u**2 - u - u**2 = 0.
0, 1
Let o(n) be the second derivative of 1/18*n**4 + 0 - 1/18*n**3 + 1/126*n**7 + 4*n + 0*n**5 + 0*n**2 - 1/45*n**6. Factor o(s).
s*(s - 1)**3*(s + 1)/3
Let o(r) be the third derivative of -r**9/52920 + r**7/8820 - r**4/8 - 3*r**2. Let a(x) be the second derivative of o(x). Factor a(t).
-2*t**2*(t - 1)*(t + 1)/7
Let n be 1/((-55)/20 - -3). Let a(z) be the first derivative of 1 - z - 3/4*z**2 + 7/6*z**3 + 3/8*z**n - 1/2*z**5. Suppose a(q) = 0. Calculate q.
-1, -2/5, 1
Let g(s) = s**2 - 6*s + 11. Let i be g(3). Factor 10/9*b**i - 8/3*b + 8/9.
2*(b - 2)*(5*b - 2)/9
Factor 4*m**3 - 5*m + 0*m**3 + 13*m + 8*m**2 + 4*m**2.
4*m*(m + 1)*(m + 2)
Let h(v) be the first derivative of 3*v**4/14 + 4*v**3/21 - 3*v**2/7 - 4*v/7 - 41. Factor h(n).
2*(n - 1)*(n + 1)*(3*n + 2)/7
Let l(a) be the second derivative of -3*a**5/8 - a**4/8 + a**3 + 12*a. Let l(u) = 0. Calculate u.
-1, 0, 4/5
Suppose 0 = 3*y + j - 16, -2*j + 17 = 2*y + y. Let z = -3 + y. Suppose -z*v**3 + 0*v + 0*v**3 + 2*v = 0. What is v?
-1, 0, 1
Suppose -2*p**4 + p + 8*p**3 + p - 10*p**3 + 2*p**2 = 0. What is p?
-1, 0, 1
Factor 29*o**4 - 21*o**4 + 0*o + 10*o**3 + 0*o + 2*o**5 + 4*o**2.
2*o**2*(o + 1)**2*(o + 2)
Let l(k) be the second derivative of 5*k**4/4 - 19*k**3/6 + 13*k**2 - 2*k. Let o(m) = -3*m**2 + 4*m - 5. Let a(f) = -2*l(f) - 11*o(f). Factor a(j).
3*(j - 1)**2
Let x(q) be the second derivative of 0 - 2/15*q**6 + 1/3*q**3 - 5*q + 1/3*q**4 + 0*q**5 + 0*q**2 - 1/21*q**7. Factor x(m).
-2*m*(m - 1)*(m + 1)**3
Let q = -337/12 + 85/3. Factor 0 + q*j**2 + 1/4*j.
j*(j + 1)/4
Let a(d) be the first derivative of -d**7/21 + d**6/5 - 3*d**5/10 + d**4/6 + 10*d + 8. Let b(i) be the first derivative of a(i). Solve b(t) = 0.
0, 1
Let q be 16/22 + -1 - 0. Let x = 17/22 + q. Factor -3/2*o**2 - 3/2*o**3 + 0 - 1/2*o**4 - x*o.
-o*(o + 1)**3/2
Suppose 5*a + 2*b = -0*b + 2, -2 = a + b. Let o(n) be the second derivative of a*n + 1/30*n**4 + 0*n**2 + 0 - 1/15*n**3. Solve o(s) = 0 for s.
0, 1
Let i(u) be the third derivative of 0*u + 1/40*u**5 + u**2 + 0*u**3 + 1/16*u**4 + 0. Find n, given that i(n) = 0.
-1, 0
Let q(n) = -2*n**2 + 6*n + 6. Let x(k) = -6*k**2 + 17*k + 17. Let v(s) = -17*q(s) + 6*x(s). Factor v(g).
-2*g**2
Let y(o) be the first derivative of o**5/20 + 5*o**4/16 + 3*o**3/4 + 7*o**2/8 + o/2 - 12. Determine k so that y(k) = 0.
-2, -1
Let h be (6/4)/(15/20). Suppose -20 = -7*x + 2*x. Factor 2*z**3 - x*z**4 + 0*z**h + 0*z**2 + 2*z**5.
2*z**3*(z - 1)**2
Let h(n) = 11*n**5 + 5*n**4 - 40*n**3 + 16*n**2 - 7*n + 7. Let j(c) = -6*c**5 - 3*c**4 + 20*c**3 - 8*c**2 + 3*c - 3. Let s(a) = -6*h(a) - 14*j(a). Factor s(r).
2*r**2*(r + 2)*(3*r - 2)**2
Let b(u) be the second derivative of -u**4/54 + 8*u**3/27 - 16*u**2/9 - 5*u. Factor b(c).
-2*(c - 4)**2/9
Let y(o) be the second derivative of o**7/7 - 8*o**6/15 + 97*o**5/120 - 47*o**4/72 + 11*o**3/36 - o**2/12 + 53*o. Determine a, given that y(a) = 0.
1/3, 1/2, 1
Let s = 253/3 - 84. Factor 1/3*d**3 + s*d + 0 + 2/3*d**2.
d*(d + 1)**2/3
Let d(a) = -5*a**3 + 12*a**2 - 48*a + 68. Let w(s) = -9*s**3 + 24*s**2 - 96*s + 135. Let c(n) = -7*d(n) + 4*w(n). Solve c(j) = 0.
4
Let k(m) = 36*m**3 - 64*m**2 + 22*m + 10. Let g(j) = 72*j**3 - 128*j**2 + 45*j + 21. Let u(t) = 2*g(t) - 5*k(t). Find y such that u(y) = 0.
-2/9, 1
Let o(g) = -25*g**4 - 35*g**3 + 65*g**2 - 5*g - 20. Let n(q) = q**4 + q**3 + q - 1. Let t(i) = -10*n(i) - o(i). What is y in t(y) = 0?
-3, -2/3, 1
Let k(p) be the second derivative of -p**6/40 - 9*p**5/80 - p**4/16 + 3*p**3/8 + 3*p**2/4 + p - 1. Find q such that k(q) = 0.
-2, -1, 1
Let y = -9 - -11. Suppose -z - 13*z**2 - 16*z**2 - 5*z + 8*z**y = 0. Calculate z.
-2/7, 0
Suppose b - 5 = -2. Solve -2*g**4 + g**4 - 3*g**3 + b*g**4 + 5*g**3 = 0.
-1, 0
Let c = -554/5 + 1672/15. Let 2*h**2 + 0 - 4/3*h - c*h**4 + 0*h**3 = 0. Calculate h.
-2, 0, 1
Let f(x) be the second derivative of x**5/40 + x**4/8 + x**3/4 + x**2 - 2*x. Let v(u) be the first derivative of f(u). Solve v(c) = 0 for c.
-1
Let l(n) be the third derivative of -n**6/600 + n**5/75 - n**4/30 + 20*n**2. Let l(x) = 0. Calculate x.
0, 2
Let n(b) be the second derivative of b**7/147 - 2*b**6/105 - 4*b**5/35 + 8*b**4/21 + 16*b**3/21 - 32*b**2/7 - 25*b. Factor n(d).
2*(d - 2)**3*(d + 2)**2/7
Let d(p) = -p**4 - p**3 + p**2 + p - 1. Let j(z) = 11*z**4 + 13*z**3 + z**2 - z + 1. Let w(i) = -2*d(i) - 2*j(i). Factor w(u).
-4*u**2*(u + 1)*(5*u + 1)
Let f(k) be the first derivative of -2*k**5/25 - k**4/5 + 2*k**2/5 + 2*k/5 + 5. Suppose f(i) = 0. Calculate i.
-1, 1
Let b be (-2)/(-2) + 0 - 1. Let f be (-34 - -36)/(18/4). Factor -2/9*w**4 - f*w**3 + b*w**2 + 0*w + 0.
-2*w**3*(w + 2)/9
Let v = -9 - 3. Let s be v/(-4) - (1 + 0). Solve -1/2*x**s + 0*x + 1/2 = 0.
-1, 1
Let b = 23 + -21. Factor -2*k**3 + 0 - k**3 + 6 - 6*k**b + 3*k.
-3*(k - 1)*(k + 1)*(k + 2)
Let u(v) be the second derivative of 0*v**2 + 1/6*v**3 - 2*v - 1/12*v**4 + 0. Factor u(b).
-b*(b - 1)
Let a(j) be the first derivative of j**4/42 - j**2/7 - 3*j - 6. Let r(y) be the first derivative of a(y). Factor r(h).
2*(h - 1)*(h + 1)/7
Let z(w) be the first derivative of w**6/240 + w**3 - 3. Let m(x) be the third derivative of z(x). Determine o so that m(o) = 0.
0
Determine l so that l**2 + 0 + 1/2*l**4 - 3/2*l**3 + 0*l = 0.
0, 1, 2
Determine y, given that 2*y**2 - 2/3 + 2/3*y - 2/3*y**3 - 4/3*y**4 = 0.
-1, 1/2, 1
Suppose 3