What is s?
-1, 0, 3
Let s = -114275654989/3409 - -33521753. Let o = -2/487 + s. Factor 2/7 + o*z**2 + 4/7*z.
2*(z + 1)**2/7
Let o be (-21)/(-6)*(-24)/(-28). Let j be 4/(-2) + (-32)/(-14). Solve 0*z**o + j*z**4 + 0*z + 0 - 2/7*z**2 = 0 for z.
-1, 0, 1
Suppose 0*l = -8*l. Let t(o) be the first derivative of l*o + 1/2*o**2 + 1 + 0*o**3 - 1/4*o**4. Factor t(n).
-n*(n - 1)*(n + 1)
Let r = -28/55 + 10/11. Factor 0*u + 0 + 2/5*u**4 - r*u**3 + 0*u**2.
2*u**3*(u - 1)/5
Let i(k) be the third derivative of k**6/30 - k**5/5 + k**4/2 - 2*k**3/3 - 13*k**2. Factor i(j).
4*(j - 1)**3
Let w(q) = -130*q**3 - 210*q**2 + 173*q - 7. Let n be 3/6 - (-39)/(-6). Let k(t) = 43*t**3 + 70*t**2 - 58*t + 2. Let h(x) = n*w(x) - 17*k(x). Factor h(y).
(y + 2)*(7*y - 2)**2
Let r(u) = -u**4 + u**3 - u**2 + 3*u - 2. Let i(d) = 2*d**4 - 2*d**3 + d**2 - 5*d + 4. Let v(l) = 4*i(l) + 7*r(l). Factor v(h).
(h - 2)*(h - 1)*(h + 1)**2
Let o(f) be the third derivative of 1/90*f**5 + 0*f**3 - 6*f**2 + 0*f - 1/18*f**4 + 0. Factor o(y).
2*y*(y - 2)/3
Let m(c) = 3*c**3 - 9*c + 6. Let x(r) = -12*r**3 + 36*r - 24. Let f(n) = 9*m(n) + 2*x(n). Factor f(o).
3*(o - 1)**2*(o + 2)
Suppose 0 = -d - 2*d - 4*c + 25, 0 = -5*d - c + 19. What is j in -4*j + 1 - j**3 + 2*j - j**2 + 0*j**2 + d*j = 0?
-1, 1
Determine c so that 0 + 2/5*c**2 - 2/5*c**4 + 6/5*c - 6/5*c**3 = 0.
-3, -1, 0, 1
Suppose -2*i + 3*c - 6*c = -19, 0 = -3*i + 4*c - 14. Let s be 3/(-2) - (-35)/20. Factor -1/4*z**i - 1/2*z - s.
-(z + 1)**2/4
Suppose -4*n - 3*w - 7 = -4*w, -4 = -2*n - 2*w. Let p be (-10)/(-3) - n/(-3). Factor 2*c**2 + 4*c**4 - c**4 + c**p - 5*c**2 - c.
c*(c - 1)*(c + 1)*(3*c + 1)
Suppose -d - 2*o + 3 = -5*o, -3*o - 3 = 0. Let b(c) be the third derivative of -2*c**2 + d*c**3 + 0*c**4 + 0*c + 0 + 1/60*c**5. Factor b(j).
j**2
Let y(b) = b**3 - 9*b**2 + 9. Let l be y(9). Suppose -4*p = -l*p. Let -3*d + p*d**2 + 0 + 2*d**3 - 3*d**2 + d**3 + 3 = 0. Calculate d.
-1, 1
Let k(l) = 575*l**3 + 350*l**2 - 1205*l + 365. Let m(s) = -41*s**3 - 25*s**2 + 86*s - 26. Let f(c) = 6*k(c) + 85*m(c). Factor f(n).
-5*(n - 1)*(n + 2)*(7*n - 2)
Let q(u) be the third derivative of -u**8/6720 + u**7/1680 + u**5/30 + 2*u**2. Let n(z) be the third derivative of q(z). Factor n(k).
-3*k*(k - 1)
Factor 14*k**3 - 3*k**4 - 5*k**3 - 7*k**2 + 3*k**2 - 2*k**2.
-3*k**2*(k - 2)*(k - 1)
Determine c, given that 20/3*c - 5/3*c**3 + 20/3 - 5/3*c**2 = 0.
-2, -1, 2
Let y(x) be the first derivative of x**8/3360 - x**6/240 + x**5/120 - 2*x**3/3 - 2. Let k(s) be the third derivative of y(s). Determine o, given that k(o) = 0.
-2, 0, 1
Let c(o) be the first derivative of -o**4/6 + o**3/3 + 2*o - 1. Let y(r) be the first derivative of c(r). Factor y(s).
-2*s*(s - 1)
Let m(r) be the second derivative of -r**4/72 + 13*r**3/36 - r**2 - 36*r. Determine j so that m(j) = 0.
1, 12
Let l(i) be the second derivative of -2*i**6/105 - i**5/35 + 2*i**4/21 + 8*i. Factor l(y).
-4*y**2*(y - 1)*(y + 2)/7
Let n(q) = -q**2 - 5*q + 6. Let v be n(-5). Let f be -2 + 5/(15/v). Factor 0*s + 1/3*s**4 + 0 + 1/3*s**3 + f*s**2.
s**3*(s + 1)/3
Let p be (-34)/8*48/(-4). Let r be 6/(-10) - p/(-60). Let q + 3/2*q**2 + q**3 + 1/4 + r*q**4 = 0. What is q?
-1
Let a(t) be the third derivative of -1/30*t**3 + 0 + t**2 + 0*t + 1/300*t**5 - 1/600*t**6 + 1/120*t**4. Solve a(z) = 0 for z.
-1, 1
Let w = 3 + -19/7. Factor 0*t**2 + w*t**3 + 0*t + 6/7*t**5 + 8/7*t**4 + 0.
2*t**3*(t + 1)*(3*t + 1)/7
Let l = 16 - -4. Let c be -4 + (44/l - -2). Suppose -6/5*z + c*z**2 + 9/5 = 0. What is z?
3
Let j(q) be the third derivative of q**6/156 - 4*q**5/195 + q**4/156 + 2*q**3/39 + 8*q**2. Factor j(s).
2*(s - 1)**2*(5*s + 2)/13
Let g = -21 - -23. Solve 4/3*h**g - 8/3*h**3 - 8/3*h**4 + 4/3 - 2/3*h**5 + 10/3*h = 0 for h.
-2, -1, 1
Let f(u) be the second derivative of -u**6/420 + u**5/210 + u**2/2 - 7*u. Let w(g) be the first derivative of f(g). Factor w(j).
-2*j**2*(j - 1)/7
Factor -3/4*t**3 + 5/4*t**4 + 1/2 + 3/4*t - 7/4*t**2.
(t - 1)**2*(t + 1)*(5*t + 2)/4
Let s(d) = 4*d - 4 - 1 + d**2 - 2*d. Let u be s(-4). Suppose -p**3 - 2 - 3*p**2 + 0*p**2 + 1 - u*p = 0. What is p?
-1
Factor 0*a - 1/5*a**3 + 0 + 0*a**2.
-a**3/5
Let l(n) = 3*n**2 - 24*n + 21. Let v(w) = 16*w**2 - 132*w + 116. Suppose 4*x + 18 = -94. Let m(i) = x*l(i) + 5*v(i). Suppose m(h) = 0. Calculate h.
1, 2
Let l = -16913/554 - -8/277. Let u = 32 + l. Factor 13/4*q**2 + 0*q - 1 - u*q**3.
-(q - 2)*(2*q + 1)*(3*q - 2)/4
Suppose 5*o + f = 3*o, 4*f = 0. Let n(q) be the third derivative of q**2 - 1/24*q**3 + 0*q**4 + 1/240*q**5 + 0 + o*q. Factor n(s).
(s - 1)*(s + 1)/4
Let w(v) be the first derivative of -3*v**4/2 + 25*v**3 + 39*v**2/2 - 67. Find h, given that w(h) = 0.
-1/2, 0, 13
Let m(a) be the first derivative of 2 + 1/4*a**2 - 5/2*a**3 + a. Determine y so that m(y) = 0.
-1/3, 2/5
Let a = -39 + 40. Determine y, given that -3/2*y**2 - a - 5/2*y = 0.
-1, -2/3
Suppose -g + 0*g = -5*g. Determine c, given that 1/3*c**3 + 0 + g*c**2 - 1/3*c = 0.
-1, 0, 1
Determine q, given that 8*q - 12*q**4 - 12*q**3 + 4*q**3 + 8*q**5 - 8*q**3 + 12*q**2 = 0.
-1, -1/2, 0, 1, 2
Let k(j) be the third derivative of j**9/21168 + j**8/3920 + j**7/2940 - j**3 - 4*j**2. Let g(s) be the first derivative of k(s). Solve g(y) = 0.
-2, -1, 0
Suppose m - 8 = -2*k, 2*k - 7*m + 5*m - 14 = 0. Suppose 1 + k = 3*v. Factor 1/2*a**3 + 1 + 5/2*a + 2*a**v.
(a + 1)**2*(a + 2)/2
Let v(p) = 4*p + 12. Let a be v(-6). Let x = a - -49/4. Factor -3/4*z - 1/2 - x*z**2.
-(z + 1)*(z + 2)/4
Let s(o) = o - 1. Let l be s(3). Suppose -2*b - k + 3*k = -2, l = 2*k. Find a, given that -4*a**2 - 4*a**3 - a**2 - b*a**4 + 3*a**2 = 0.
-1, 0
Let y(r) be the second derivative of r**7/14 - 3*r**6/10 + 9*r**5/20 - r**4/4 + 6*r. Let y(x) = 0. Calculate x.
0, 1
Let q(z) be the second derivative of -1/15*z**3 + 0 + 1/15*z**4 + 0*z**2 + 2*z. Factor q(m).
2*m*(2*m - 1)/5
Let i be ((-12)/(-10))/((-27)/(-90)). Let u(l) be the third derivative of 0*l - 1/100*l**5 + 0*l**3 - 2*l**2 + 0 + 1/20*l**i. Factor u(s).
-3*s*(s - 2)/5
Suppose -n**5 + 9*n - 4*n**5 - 40 + 8*n**4 - 48*n**4 - 149*n - 125*n**3 - 190*n**2 = 0. Calculate n.
-2, -1
Suppose 0 = -2*g + 12 - 6. Let q(o) be the first derivative of -8*o - 10/3*o**g - 12*o**2 - 2. Find l such that q(l) = 0.
-2, -2/5
Let u(a) be the second derivative of a**6/90 + a**5/20 + a**4/12 + a**3/18 - 9*a. Factor u(x).
x*(x + 1)**3/3
Let n(p) be the second derivative of 0 - 2/3*p**4 - 4*p + 0*p**2 + 1/3*p**7 - 1/3*p**6 + 0*p**3 - 8/5*p**5. Let n(g) = 0. Calculate g.
-1, -2/7, 0, 2
Suppose u = -0*u + 2. Suppose 2*x**u - 42*x + 42*x - 3*x**2 = 0. What is x?
0
Let r(v) = v**3 - 3*v**2 + 3*v - 1. Let w be r(2). Let d be -2*(-1 + w + -1). Factor -1/4 + 1/2*q**d + 0*q**3 + 0*q - 1/4*q**4.
-(q - 1)**2*(q + 1)**2/4
Let d(v) be the third derivative of v**7/6300 + v**6/1800 + v**4/6 + 4*v**2. Let g(r) be the second derivative of d(r). Factor g(q).
2*q*(q + 1)/5
Let l(n) = n + 7. Let j be l(-5). Let c(o) be the first derivative of 0*o - 1/9*o**3 + 1 + 1/6*o**j. Suppose c(y) = 0. Calculate y.
0, 1
Let s(a) = a**3 - 4*a**2 - 21*a + 3. Let t be s(-3). What is v in 0*v + 2/11*v**t + 2/11*v**4 + 0 + 0*v**2 = 0?
-1, 0
Let m(o) = 2*o**3 + 3*o**2 + o. Let i be m(-3). Let j be 10/15 + 8/i. Factor 2/5*n**3 - j*n + 0*n**2 + 0.
2*n*(n - 1)*(n + 1)/5
Find p, given that 81/2 + 1/2*p**2 + 9*p = 0.
-9
Let l be 2 - (-2 - -2)/4. Let r(c) be the second derivative of l*c + 0*c**3 - 1/30*c**5 + 1/63*c**7 - 1/18*c**4 + 1/45*c**6 + 0*c**2 + 0. Factor r(q).
2*q**2*(q - 1)*(q + 1)**2/3
Suppose 0 = 5*y + 4 - 19. Let f(o) be the second derivative of 1/15*o**y + 4/15*o**4 + 2*o - 2/5*o**2 + 0 + 1/10*o**5. Suppose f(q) = 0. What is q?
-1, 2/5
Suppose -10 = -x - 5*k, -5*x - k + 26 = -0*k. Factor 5*z**4 - z - z**5 + x - 10*z**3 - 4*z - 4 + 10*z**2 + 0.
-(z - 1)**5
Let u(x) be the second derivative of x**5/120 - x**3/12 - 3*x**2/2 + 4*x. Let t(w) be the first derivative of u(w). Let t(a) = 0. What is a?
-1, 1
Suppose -2*i + 5*f + 94 = 0, 0 = -5*f + 16 - 6. Let o be (-3)/(-2)*i/429. Solve -4/11*p - o*p**2 - 2/11 = 0 for p.
-1
Let n = 17 + -15. Factor -u**2 + 2 - 2 + n*u**2.
u**2
Let y(h) be the third derivative of h**7/140 + h**6/40 - h**5/10 - h**4/8 + 3*h**3/4 + 9*h**2. Let y(s) = 0. What is s?
-3, -1, 1
Let y(p) = -p**2 - 14*p + 4. Let v be y(-14). Fi