 1/3 + 2/3*s**3 - 2/3*s = 0?
-1, 1
Let g be (-2)/8 - 1/(-4). Suppose g*j + 2 = j. Factor 4*x**2 - 2*x + 8*x + j + 0*x**2.
2*(x + 1)*(2*x + 1)
Let c = -418/3 - -141. Find y such that 10/3*y**3 + 5/3*y + 10/3*y**2 + c*y**4 + 1/3 + 1/3*y**5 = 0.
-1
Let j be -3 - (-6 + 3) - 0. Suppose j*o = o - 2. Factor -p**2 + p**2 + o*p**2.
2*p**2
Solve g**3 - g**2 - g**3 + g**3 - 2*g**2 = 0.
0, 3
Let n be 56/(-21)*(-54)/8. Let b be ((-2)/(-4))/(3/n). Let 3 - 6*z**2 - b - 14*z - 4 = 0. What is z?
-2, -1/3
Let d(x) be the third derivative of -x**8/16800 + x**6/1800 + x**4/24 - x**2. Let c(u) be the second derivative of d(u). Factor c(m).
-2*m*(m - 1)*(m + 1)/5
Let f(c) = 3*c**3 + c**2 + 2*c - 4. Let l be f(1). Factor -2/3*a + 1/3 + 1/3*a**l.
(a - 1)**2/3
Suppose 0 = 47*u + 83 - 224. Determine s so that -4*s**u + 8/3*s**2 - 2/3*s - 2/3*s**5 + 8/3*s**4 + 0 = 0.
0, 1
Suppose 185 = 8*w - 63. Suppose w = 4*x + 23. Determine m so that -4/3 + 2/3*m + 2/3*m**x = 0.
-2, 1
Let m be (-2)/(-8) + (-99)/(-36). Suppose -5 = -t - m. Factor 3*w - 7/4*w**3 - 9/4*w**t + 1.
-(w - 1)*(w + 2)*(7*w + 2)/4
Let 9/7*f**3 - 38/7*f**2 - 37/7*f + 10/7 = 0. What is f?
-1, 2/9, 5
Let l(b) be the third derivative of -2*b**7/945 - b**6/60 - 7*b**5/135 - b**4/12 - 2*b**3/27 + 40*b**2. Determine w so that l(w) = 0.
-2, -1, -1/2
Factor -2*w**2 - w**3 - 2*w**2 + 3*w**2 - w**2.
-w**2*(w + 2)
Factor -2/9 - 2/9*v**5 + 2/3*v + 2/3*v**4 - 4/9*v**2 - 4/9*v**3.
-2*(v - 1)**4*(v + 1)/9
Let h(u) be the second derivative of u**7/6300 - u**6/600 + u**5/150 + u**4/4 - u. Let l(g) be the third derivative of h(g). Determine a, given that l(a) = 0.
1, 2
Suppose 2*b - x = 12, 3*b - 24 = -0*x + 3*x. Suppose -25 = -b*i - i. Find g, given that -2*g + 2*g**3 + g**3 - g**3 + 5*g**2 + i*g**3 = 0.
-1, 0, 2/7
Let w(c) be the first derivative of c**6/3 - 2*c**5 + 9*c**4/2 - 14*c**3/3 + 2*c**2 + 27. Determine x so that w(x) = 0.
0, 1, 2
Let w(r) be the third derivative of r**7/15120 - r**6/4320 + r**4/6 - r**2. Let x(j) be the second derivative of w(j). Suppose x(m) = 0. Calculate m.
0, 1
Factor 12*h**4 + 24*h**2 - 8*h - 18*h**3 - 20*h**3 - 2*h**5 + 12*h**3.
-2*h*(h - 2)**2*(h - 1)**2
Let v(j) be the first derivative of 0*j**3 + 1/42*j**4 - j + 1 - 1/7*j**2. Let i(f) be the first derivative of v(f). Factor i(p).
2*(p - 1)*(p + 1)/7
Let f = -1/667 - -670/2001. Suppose 1/6*p**2 - f*p + 1/6 = 0. What is p?
1
Let o = -55444/15 - -3698. Factor -4/5 + 2/3*f**2 - o*f.
2*(f - 3)*(5*f + 2)/15
Let i(u) = 3*u**2 + 2*u + 10*u**4 + 4*u**3 - u**3 - 13*u**4. Let j(q) = q**4 - q**3 - q**2 - q. Let h(x) = -2*i(x) - 5*j(x). Determine f so that h(f) = 0.
-1, 0, 1
Let z(w) be the third derivative of 1/24*w**4 + 1/40*w**6 + 0*w + 1/20*w**5 + 0 + 0*w**3 + 1/210*w**7 - 3*w**2. Solve z(m) = 0 for m.
-1, 0
Let a(t) be the third derivative of -t**8/84 + 2*t**7/105 - t**2. Factor a(i).
-4*i**4*(i - 1)
Let w = -482/23 - 1337/69. Let r = w - -41. What is a in -4/3*a**2 + r*a**4 + 2/3 + 0*a + 0*a**3 = 0?
-1, 1
Let n = 100/7 - 14. Let y(a) = 3*a**3 + 28*a**2 + 8*a - 9. Let p be y(-9). Factor -2/7*z**4 + 4/7*z**2 + p*z - n + 0*z**3.
-2*(z - 1)**2*(z + 1)**2/7
Let b = -58 + 58. Factor -3/2*h**3 + b*h - 1/2*h**5 - 3/2*h**4 - 1/2*h**2 + 0.
-h**2*(h + 1)**3/2
Let u = -18 + 22. Let m(c) be the first derivative of 0*c**2 + 0*c + 1/10*c**5 + 1/4*c**u + 1/6*c**3 - 1. Determine p, given that m(p) = 0.
-1, 0
Let h(j) be the third derivative of -8*j**2 + 0*j**5 - 1/525*j**7 + 0*j**3 + 0*j**4 + 1/300*j**6 + 0*j + 0. Factor h(a).
-2*a**3*(a - 1)/5
Let c = 6 - 3. Suppose -4*w - 3*k + 12 = -2*k, k + 4 = 4*w. Factor 6*o**2 + 4*o**3 - o**2 + 2*o**4 - c*o**w.
2*o**2*(o + 1)**2
Let c(l) be the second derivative of l**5/30 + 5*l**2/2 + l. Let i(j) be the first derivative of c(j). Factor i(t).
2*t**2
Let g be (((-6)/(-4))/3)/(83 + -80). Factor 1/2*z + g*z**2 + 0.
z*(z + 3)/6
Suppose 0 = -3*f + 8 + 4. Suppose -f*p = -9 - 3. Solve 3*l**2 + 0*l + l - 2*l**2 - l**4 - l**p = 0.
-1, 0, 1
Let q(v) be the third derivative of 5*v**7/168 + v**6/32 - 3*v**5/80 + v**4/96 + 4*v**2. Find j, given that q(j) = 0.
-1, 0, 1/5
Suppose 2/3*p**5 + 8/3*p**2 + 8/3*p**4 + 0 + 4*p**3 + 2/3*p = 0. Calculate p.
-1, 0
Let k(p) be the third derivative of -p**9/3780 + p**8/2100 + 3*p**3/2 - 5*p**2. Let l(u) be the first derivative of k(u). Suppose l(h) = 0. Calculate h.
0, 1
Let l(h) be the first derivative of 2*h**5/35 - h**4/7 + 2*h**3/21 - 19. Let l(w) = 0. Calculate w.
0, 1
Let f(x) be the third derivative of x**7/195 + x**6/156 - 8*x**5/195 + x**4/39 - 48*x**2. Suppose f(z) = 0. Calculate z.
-2, 0, 2/7, 1
Factor -20*d - 80 - 5/4*d**2.
-5*(d + 8)**2/4
Let p(t) = -t - 5. Let b be p(-7). Let l be 3/24*(9 - 7). Factor -1/2*a**b - 1/4*a - l*a**3 + 0.
-a*(a + 1)**2/4
Let l(k) be the third derivative of k**6/720 - k**5/120 + k**4/48 - k**3/36 + 11*k**2. Determine z so that l(z) = 0.
1
Let u = 67 - 467/7. Suppose 12*n - 26 = 10. Factor -2/7*q**n + 4/7*q + 0 - u*q**2.
-2*q*(q - 1)*(q + 2)/7
Let t(d) be the first derivative of 1 + 0*d**2 + 7/12*d**4 - 1/3*d**3 - 4*d. Let j(k) be the first derivative of t(k). Determine g, given that j(g) = 0.
0, 2/7
Let o(v) be the second derivative of -v**5/35 + 4*v**4/7 - 32*v**3/7 + 128*v**2/7 + 21*v. Let o(s) = 0. What is s?
4
Let s(x) be the second derivative of x**7/140 - x**6/80 - x**5/40 + x**4/16 + 5*x**2/2 - x. Let f(j) be the first derivative of s(j). Factor f(z).
3*z*(z - 1)**2*(z + 1)/2
Let o(h) be the first derivative of 4*h**3/9 - 4*h/3 - 10. Suppose o(x) = 0. What is x?
-1, 1
Suppose 0 = 2*p + 3*p. Suppose p - 1/3*l**2 - 2/3*l = 0. What is l?
-2, 0
Suppose 5*z + y - 33 - 69 = 0, -3 = y. Let d = -18 + z. Determine r so that d*r**2 + 7/3*r + 1/3*r**4 + 5/3*r**3 + 2/3 = 0.
-2, -1
Find m such that 12*m - 3/7*m**2 - 84 = 0.
14
Let j(l) be the third derivative of l**7/840 + l**6/120 + l**5/60 + 5*l**3/6 - 2*l**2. Let g(w) be the first derivative of j(w). Solve g(k) = 0.
-2, -1, 0
Let m be -2*(-1 - (-2)/6). Let 2/3*b**2 + m*b + 0 = 0. What is b?
-2, 0
Let q(p) be the first derivative of -p**2/2 + 4*p + 2. Let l be q(2). Suppose -1/3*c**l - c - 2/3 = 0. Calculate c.
-2, -1
Let p(w) be the first derivative of -w**4/10 + 14*w**3/15 + w**2/5 - 14*w/5 + 38. Factor p(n).
-2*(n - 7)*(n - 1)*(n + 1)/5
Let i(y) be the first derivative of 5/26*y**4 + 0*y**2 + 1/39*y**6 + 8/65*y**5 + 0*y + 4/39*y**3 - 1. Factor i(r).
2*r**2*(r + 1)**2*(r + 2)/13
Let r = -2/871 - -877/2613. Factor -r*a + 2/3 + 1/3*a**3 - 2/3*a**2.
(a - 2)*(a - 1)*(a + 1)/3
Let j(l) be the second derivative of -l**7/42 - l**6/10 + l**5/20 + l**4/4 + 5*l. Determine z so that j(z) = 0.
-3, -1, 0, 1
Let a(n) be the first derivative of -n**2 + 0*n - 2 + 2/3*n**3. Determine k so that a(k) = 0.
0, 1
Solve 12*w**3 + 54/7*w**4 - 90/7*w + 150/7 + 6/7*w**5 - 204/7*w**2 = 0 for w.
-5, -1, 1
Let o(j) = -j**3 - 6*j**2 - j + 4. Let c be o(-6). Let y be (-2)/c - 12/(-20). Determine r, given that 6/5*r - y - 4/5*r**2 = 0.
1/2, 1
Suppose v + 2 - 6 = 0. Find n, given that n - 9*n**3 - v*n - 5*n + 2*n + 15*n**2 = 0.
0, 2/3, 1
Let j(n) = n**2 - 23*n - 20. Let k be j(24). Factor 2/3*o**5 + 0*o**2 + 0*o**k - 4/3*o**3 + 2/3*o + 0.
2*o*(o - 1)**2*(o + 1)**2/3
Let k be (-1)/(1 + (-6)/4). Suppose -3*n - k = -n. Let s(v) = v**3 + v**2 - v. Let j(a) = 7*a**3 - a**2 + a - 2. Let m(l) = n*j(l) + 5*s(l). Factor m(o).
-2*(o - 1)**3
Let p(k) = -2*k + 2. Suppose 0*l - 4 = 2*l. Let v be p(l). Suppose v*s**2 - 12 + 2*s**4 + 2*s + 12 + 6*s**3 = 0. What is s?
-1, 0
Let l(i) be the first derivative of i**5/10 + i**4/4 - i**3/6 - i**2/2 + 9. Factor l(h).
h*(h - 1)*(h + 1)*(h + 2)/2
Let a(h) be the second derivative of h**5/90 + h**4/36 - h**2 - 4*h. Let p(k) be the first derivative of a(k). Factor p(m).
2*m*(m + 1)/3
Suppose -6*y + 3*y = -18. Let f(o) be the third derivative of -1/30*o**5 + 2*o**2 + 2/105*o**7 + 0*o + 0 - 1/3*o**3 - 1/20*o**y + 1/4*o**4. Factor f(s).
2*(s - 1)**2*(s + 1)*(2*s - 1)
Let q(u) be the third derivative of 3*u**5/100 + u**4/15 - u**3/30 - 10*u**2. Factor q(z).
(z + 1)*(9*z - 1)/5
Let k(i) be the second derivative of 0*i**3 - 1/168*i**7 + 0 - 1/80*i**5 - 2*i - 1/60*i**6 + 0*i**4 + 0*i**2. Determine r so that k(r) = 0.
-1, 0
Let j = 67/3996 - -3/148. Let r(g) be the second derivative of -1/54*g**4 + 0 + 0*g**2 + j*g**3 - 2*g