 1. Let c(b) = -j(b) - 4*x(b). Let c(o) = 0. What is o?
-1, 1
Suppose 15 + 27 = 14*v. What is u in 6/11*u**2 + 2/11 + 2/11*u**v + 6/11*u = 0?
-1
Let a be (-951)/9 + 2/3. Let x be (-4)/(-14) - 40/a. Let x*h**4 + 0 + 0*h - 2/3*h**2 - 2/3*h**5 + 2/3*h**3 = 0. Calculate h.
-1, 0, 1
Let y(f) be the second derivative of -1/30*f**4 - 4*f - 2/25*f**5 + 0*f**3 + 0*f**2 + 0 - 2/105*f**7 - 1/15*f**6. Let y(c) = 0. Calculate c.
-1, -1/2, 0
Let d(j) be the second derivative of 0*j**5 + 0*j**3 + 1/5*j**2 - 1/15*j**4 + 0 - 2*j + 1/75*j**6. Factor d(k).
2*(k - 1)**2*(k + 1)**2/5
Let p(a) be the first derivative of 16*a**6/75 + 4*a**5/5 + 11*a**4/10 + 2*a**3/3 + a**2/5 + 2*a - 4. Let o(z) be the first derivative of p(z). Factor o(m).
2*(m + 1)**2*(4*m + 1)**2/5
Let u(a) be the first derivative of a**3/9 + a**2/3 + 31. Solve u(o) = 0.
-2, 0
Suppose 0 = -3*m - 3*f - 6, 5*f + 24 = -1. Let u(s) be the second derivative of 2*s + 0 - 1/3*s**2 + 2/9*s**4 - 1/3*s**m. Factor u(t).
2*(t - 1)*(4*t + 1)/3
Let o be (-12)/(-36) + 7/15. Let w(v) be the second derivative of -7/10*v**5 - o*v**6 + 2*v + 11/6*v**4 + 7/3*v**3 + v**2 + 0. Solve w(x) = 0 for x.
-1, -1/3, -1/4, 1
Let n = 4 - 7/2. Let f = 8 - 5. Find q, given that n + 1/2*q - 1/2*q**2 - 1/2*q**f = 0.
-1, 1
Determine f, given that -11/6*f**2 + 2*f + 1/6*f**3 - 1/6*f**5 + 1/2*f**4 - 2/3 = 0.
-2, 1, 2
Let h(b) be the second derivative of b**6/1980 + b**5/220 + b**4/66 + 5*b**3/6 + 3*b. Let a(i) be the second derivative of h(i). Factor a(p).
2*(p + 1)*(p + 2)/11
Let k(c) be the third derivative of -c**7/280 + c**6/72 - c**5/120 - c**4/24 - c**3/2 - 6*c**2. Let j(g) be the first derivative of k(g). Factor j(b).
-(b - 1)**2*(3*b + 1)
Let h(u) be the second derivative of -1/5*u**2 + 0 - 1/75*u**6 + 0*u**3 + 0*u**5 - 2*u + 1/15*u**4. Factor h(f).
-2*(f - 1)**2*(f + 1)**2/5
Let j(z) be the first derivative of -5*z**3/2 - 21*z**2/4 + 9*z - 4. Factor j(t).
-3*(t + 2)*(5*t - 3)/2
Let f(x) = -x**2 + 21*x + 30. Let j(b) = -20*b - 30. Let m(s) = 5*f(s) + 4*j(s). Let m(p) = 0. Calculate p.
-1, 6
Let h(k) = -k**3 + 3*k**2 + 6*k - 5. Let m be h(4). Determine o, given that 25/2*o**m + 35/2*o**2 + 11/2*o + 1/2 = 0.
-1, -1/5
Let j(n) be the first derivative of 1/12*n**4 - 1/2*n**2 + 0*n + 0*n**3 - 1/30*n**5 - 2. Let s(z) be the second derivative of j(z). Factor s(p).
-2*p*(p - 1)
Let 0 + 3/2*w + 3/2*w**2 = 0. Calculate w.
-1, 0
Let c = -3 - -6. Factor 3*i**3 - c*i**3 + i**3 - 2*i**3.
-i**3
Let h(d) = 2*d**2 + 3*d + 2. Let r(s) be the third derivative of -s**5/30 - s**4/12 - s**3/3 + s**2. Let z(t) = -6*h(t) - 7*r(t). Factor z(g).
2*(g - 1)**2
Let b be ((-154)/(-21) + -6)*1. Factor -8/3*o**2 - 1/3*o**4 - b*o + 0 - 5/3*o**3.
-o*(o + 1)*(o + 2)**2/3
Let y(w) = -w**3 - w**2 - w. Let k(n) = -10*n**3 - 6*n**2 - 2*n. Let d(x) = -k(x) + 6*y(x). Factor d(z).
4*z*(z - 1)*(z + 1)
Suppose 5*z + c - 5 = 0, 2*z + z + 15 = 3*c. Determine p, given that z*p**2 + 0 + 0*p - 4/5*p**3 - 2*p**4 = 0.
-2/5, 0
Solve 4/5*s**2 + 0 - 4/5*s = 0 for s.
0, 1
Let j(l) be the third derivative of -l**11/498960 + l**10/113400 - l**9/90720 - l**5/30 - l**2. Let d(k) be the third derivative of j(k). Solve d(p) = 0.
0, 1
Let x(z) be the second derivative of -4/63*z**7 + 0*z**3 + 1/36*z**4 + 0 - 7/60*z**5 + 0*z**2 + 3*z + 7/45*z**6. Find h, given that x(h) = 0.
0, 1/4, 1/2, 1
Let a(o) be the first derivative of -o**4/12 - 2*o**3/9 - o**2/6 + 1. Factor a(w).
-w*(w + 1)**2/3
Factor 4/11 + 8/11*o**2 - 10/11*o - 2/11*o**3.
-2*(o - 2)*(o - 1)**2/11
Let r be 3 - -1 - 8 - (-207)/18. Factor 5/2*x**2 + r*x + 0.
5*x*(x + 3)/2
Let f = -11 - -16. Let z(r) be the second derivative of -1/70*r**f - 1/7*r**2 - 1/14*r**4 + r - 1/7*r**3 + 0. Suppose z(u) = 0. What is u?
-1
Let n be 2/13 - (-132)/(-1365). Let j(a) be the first derivative of 2/21*a**3 - 1/7*a**2 + 1/14*a**4 - n*a**5 + 0*a - 2. Find b such that j(b) = 0.
-1, 0, 1
Let n(r) be the third derivative of r**7/840 + r**6/240 - r**5/240 - r**4/48 + 30*r**2. Factor n(o).
o*(o - 1)*(o + 1)*(o + 2)/4
Let h(u) be the first derivative of u**5/150 + u**2/2 - 2. Let t(m) be the second derivative of h(m). Factor t(q).
2*q**2/5
Let r(a) be the third derivative of -2*a**7/525 + a**6/50 - a**5/25 + a**4/30 - 15*a**2. Factor r(w).
-4*w*(w - 1)**3/5
Let w(t) be the second derivative of 0 - 1/6*t**3 - t + 0*t**4 + 0*t**2 + 1/20*t**5. What is n in w(n) = 0?
-1, 0, 1
Let q = 19/1488 - -1/124. Let n(z) be the second derivative of 3/80*z**5 + 0*z**3 + 0*z**2 - 3*z + q*z**4 + 0 + 1/60*z**6. What is d in n(d) = 0?
-1, -1/2, 0
Let x(n) = -n**3 + 13*n**2 - n + 12. Let w be x(13). Let b be w + 2/(-2) + 2. Factor 5/4*u**5 + 9/4*u**3 + b*u + 3*u**4 + 1/2*u**2 + 0.
u**2*(u + 1)**2*(5*u + 2)/4
Find d, given that 0*d - 1/4*d**4 - 1/4*d**2 + 0 + 1/2*d**3 = 0.
0, 1
Let p(h) be the first derivative of -2*h**6/9 - 7*h**5/15 + h**4/2 + 7*h**3/9 - h**2/3 + 11. Find b, given that p(b) = 0.
-2, -1, 0, 1/4, 1
Let q(p) be the first derivative of p**6/3 - 12*p**5/5 + 9*p**4/2 - 8*p**3/3 + 29. Factor q(s).
2*s**2*(s - 4)*(s - 1)**2
Suppose -3*l = -2*l - 3. Let o(b) be the second derivative of -1/6*b**4 - 1/45*b**6 - 1/9*b**l + 0*b**2 - b - 1/10*b**5 + 0. Solve o(m) = 0.
-1, 0
Let z = -11 - -7. Let g = 6 + z. Suppose 0*t - 3*t + g + 2*t**2 - t**2 + 6*t = 0. What is t?
-2, -1
Let f = 79/4 + -39/2. Let k be -4*1/(-6)*3. Factor f - 1/2*n + 1/4*n**k.
(n - 1)**2/4
Let k be -2 + 481/120 - 2. Let m(y) be the second derivative of 1/80*y**5 - 1/48*y**4 + k*y**6 - 1/24*y**3 + 0*y**2 - y + 0. Factor m(v).
v*(v - 1)*(v + 1)**2/4
Solve 0*a + 6/11 + 0*a**3 + 6/11*a**4 - 12/11*a**2 = 0 for a.
-1, 1
Let d(c) = c**2 + c - 1. Let z(g) = 5*g**2 + 2*g - 9. Let t(v) = -6*d(v) + z(v). Factor t(b).
-(b + 1)*(b + 3)
Let w(g) be the third derivative of -g**8/1008 + g**6/360 + 8*g**2. Determine r so that w(r) = 0.
-1, 0, 1
Let g = 39 + -38. Let h be (g + 6/(-5))*-3. Factor 6/5*z + h + 3/5*z**2.
3*(z + 1)**2/5
Let c(u) be the first derivative of 1/60*u**4 + 1/15*u**3 + 2 + 3*u + 1/10*u**2. Let k(m) be the first derivative of c(m). Find f such that k(f) = 0.
-1
Let j(q) be the second derivative of -1/2*q**4 + 0 - 1/90*q**6 - 7/60*q**5 - 4/3*q**2 - 10/9*q**3 + 2*q. Let j(o) = 0. What is o?
-2, -1
Let g(k) be the first derivative of -2 + 0*k + 0*k**4 + 1/2*k**2 - 1/9*k**3 + 1/90*k**5. Let p(i) be the second derivative of g(i). Factor p(c).
2*(c - 1)*(c + 1)/3
Suppose -3/5*j**4 + 0*j + 0 + 3/5*j**3 + 0*j**2 = 0. Calculate j.
0, 1
Suppose 5*f + 14 = 5*m - 11, 3*m + 1 = -5*f. Determine u, given that -u**3 + 4*u**m - 4*u**5 + u**5 = 0.
-1, 0, 1
Let t(a) = -20*a**3 - 16*a**2 + 18*a + 5. Let y(g) = g**3 - g**2 - 1. Let w(u) = t(u) + 5*y(u). Factor w(j).
-3*j*(j + 2)*(5*j - 3)
Let z be 2/10 + (-28 - -28). Factor z*g**3 + 0 + 1/5*g + 2/5*g**2.
g*(g + 1)**2/5
Suppose 21 + 4 = 5*w. Suppose w*n = 6*n. Find t such that n*t + 1/3*t**2 + 0 + 1/3*t**4 + 2/3*t**3 = 0.
-1, 0
Let h be -2 - (-4)/60 - -2. Let l(i) be the second derivative of 0*i**2 + 0 + 0*i**3 + h*i**6 - 3*i - 1/6*i**4 + 1/21*i**7 - 1/10*i**5. Factor l(b).
2*b**2*(b - 1)*(b + 1)**2
Let d(m) be the second derivative of 0 - 1/5*m**6 + 2*m + 3/2*m**3 - 3*m**2 + 3/14*m**7 + m**4 - 9/10*m**5. Find i such that d(i) = 0.
-1, 2/3, 1
Let y(f) = f**3 + 7*f**2 - 2*f - 7. Let g be y(-5). Let n = g + -264/5. Factor 1/5*b**4 - 3/5*b**2 + 1/5*b + 2/5 - n*b**3.
(b - 2)*(b - 1)*(b + 1)**2/5
Let l(o) = -o**2 - 1. Let v(z) = -z**3 - 4*z**2 + z - 4. Let n be (-2 - -5)*(-3)/(-9). Let h(a) = n*v(a) - 4*l(a). Factor h(m).
-m*(m - 1)*(m + 1)
Let q be -15*(25/45)/(-1). Factor 70/3*t**4 - 23*t**3 + 28/3*t**2 - 4/3*t - q*t**5 + 0.
-t*(t - 1)**2*(5*t - 2)**2/3
Let k(x) = -x**3 - x + 1. Let i(v) = -2*v**3 + 3*v**2 - 3*v - 1. Let q(z) = 2*i(z) - 6*k(z). Factor q(h).
2*(h - 1)*(h + 2)**2
Let v(r) = -r**3 + 2*r**2 + 9*r. Let p be v(4). Factor 0*j + 0 + 2/9*j**2 - 2/9*j**p + 2/9*j**3 - 2/9*j**5.
-2*j**2*(j - 1)*(j + 1)**2/9
Let m(d) = d**4 - d**2 - d. Let x(h) = -h**4 - 4*h**3 + 7*h**2. Let q = -1 + -4. Let p = q - -4. Let g(j) = p*x(j) - 2*m(j). Factor g(r).
-r*(r - 2)*(r - 1)**2
Suppose 14/13*u - 6/13*u**2 + 12/13 = 0. What is u?
-2/3, 3
Suppose -2*j + 4*v + 22 = 0, -j - 3*v - 9 = -0*j. Factor -8*h - 2 - 17*h**2 - 6*h**3 - 2*h**4 - 5*h**3 + 3*h**j + 5*h**2.
-2*(h + 1)**4
Let t(d) be t