z = 140*z + 6. Let m(y) be the first derivative of 2/3*y**2 + 7 - 1/6*y**4 - 2/9*y**z + 0*y. Suppose m(l) = 0. What is l?
-2, 0, 1
Factor -36*f**5 - 6*f**4 + 39*f**5 - 4*f**3 - 2*f**3 + 6 + 24*f**2 - 21*f.
3*(f - 1)**4*(f + 2)
Suppose -37 = -o + 7. Let -24 + 79*j**3 - 83*j**3 - 34*j**2 - o*j + 10*j**2 = 0. What is j?
-3, -2, -1
Let z = 18 - 5. Find p, given that -23*p**3 - z*p**3 - 3*p + 11*p**2 - 29*p**2 + 9*p**3 - 12*p**4 = 0.
-1, -1/4, 0
Suppose 0 = -7*f - 208 + 222. Factor 2/3*w**3 - f*w**2 + 2/3*w**4 - 4/3 - 10/3*w.
2*(w - 2)*(w + 1)**3/3
Let u(z) = -z**4 + z**3 + z**2 - z. Let j(i) = 7*i**4 + 63*i**3 - 147*i**2 + 77*i. Let l(w) = j(w) + 5*u(w). Solve l(g) = 0.
-36, 0, 1
Suppose 33 = f - 3*a, 2*f + a = -0*a + 31. Let p be (12/18)/(4/f). What is j in -4*j**3 - 2*j**4 + p*j**4 + 13*j - 9*j + 2 - 3*j**4 = 0?
-1, 1
Factor -289*k**3 + k**4 + 289*k**3 - 864*k + 3*k**4 - 972 - 216*k**2.
4*(k - 9)*(k + 3)**3
Let b(z) be the second derivative of z**5/5 + 10*z**4/3 - 216*z. Find v such that b(v) = 0.
-10, 0
Let j = -56 + 34. Let c = -20 - j. Factor -35*d**c + 28*d**3 - 4*d**4 - 57*d**2 + 32*d**2 + 36*d.
-4*d*(d - 3)**2*(d - 1)
Let g(u) be the first derivative of 28/3*u**3 + 36*u + 12 + 30*u**2 + u**4. Factor g(r).
4*(r + 1)*(r + 3)**2
What is f in 4153*f - 4144*f - 5*f**2 + 14 - 7*f**3 - 15*f**2 + 4*f**3 = 0?
-7, -2/3, 1
Let j(g) be the first derivative of -2*g**5 + 3*g**4/2 + 8*g**3 + 4*g**2 - 34. Factor j(b).
-2*b*(b - 2)*(b + 1)*(5*b + 2)
Let j be 218*5/180 - 6. Let n(b) be the second derivative of j*b**4 + 0 - 2/9*b**3 + 1/3*b**2 + b. Factor n(d).
2*(d - 1)**2/3
Suppose 2 = 2*p, -2*b - 2*p + 6 = 2. Let q be (b - 1/2)*(-1 - -1). What is t in q*t + 2/3*t**2 + 1/3*t**4 + 0 - t**3 = 0?
0, 1, 2
Let v(h) = -456*h**3 - 1449*h**2 - 1023*h - 96. Let o(z) = -57*z**3 - 181*z**2 - 128*z - 12. Let r(p) = 33*o(p) - 4*v(p). Find w, given that r(w) = 0.
-2, -1, -2/19
Let k be (-22)/(-42) - 45/420*60/(-45). Factor 2/3*d + k - 2/3*d**3 - 2/3*d**2.
-2*(d - 1)*(d + 1)**2/3
Factor -16*i + 0 - 4/3*i**2.
-4*i*(i + 12)/3
Factor -10/3*y + 2/9*y**3 + 4/9*y**2 - 8.
2*(y - 4)*(y + 3)**2/9
Suppose -3*i - 65 = -8*i. Factor -l**3 - 10*l + 5 + 7*l**2 + 12*l - i*l.
-(l - 5)*(l - 1)**2
Let l(b) be the second derivative of -5*b**4/24 + 425*b**3/6 - 36125*b**2/4 - b + 60. Factor l(r).
-5*(r - 85)**2/2
Factor 0 + 5*f**2 - 6*f - 1/4*f**4 - 1/2*f**3.
-f*(f - 2)**2*(f + 6)/4
Suppose 0 = 4*s - 3*s - 2. Let j be ((-1)/2)/(s/(-12)). Find c, given that 4*c**2 - c - 2 - 2*c - j*c**2 - 2*c**2 = 0.
-2, -1
Let b(j) = -j**2 - 16*j + 21. Suppose 5*x + 4*a = 2*x - 71, 3*x + a + 56 = 0. Let h be b(x). Suppose -3/2*c + 1/6 - 8/3*c**3 + h*c**2 = 0. Calculate c.
1/4, 1
Let h = -593 - -598. Let a(g) be the third derivative of g**2 - 1/39*g**4 + 0 + 0*g + 4/39*g**3 - 1/390*g**h + 1/780*g**6. Suppose a(t) = 0. Calculate t.
-2, 1, 2
Find a, given that -8*a - 60/7 + 4/7*a**2 = 0.
-1, 15
Factor 48*o + 0 + 4/3*o**2.
4*o*(o + 36)/3
Let o(d) be the first derivative of -2/27*d**3 + 5/9*d**2 - 8/9*d + 1. Factor o(t).
-2*(t - 4)*(t - 1)/9
Let 2/13*x**5 + 30/13*x**3 - 2*x**2 + 8/13*x + 0 - 14/13*x**4 = 0. Calculate x.
0, 1, 4
Let m be (0 - -5)/(-2 + 3). Factor p**3 - 20 + m*p**2 + 10 - p**4 + 3*p + 10.
-p*(p - 3)*(p + 1)**2
Let q(p) be the second derivative of -1/12*p**4 + 0*p**2 + 12*p + 1/3*p**3 + 0. Suppose q(u) = 0. What is u?
0, 2
Factor -19/4*j**2 + 2*j + 7/4*j**3 + 1.
(j - 2)*(j - 1)*(7*j + 2)/4
Let z(c) = -14*c - 32. Let q be z(-3). Let w be ((-35)/42)/(q/(-6)). Factor 0 - w*k**5 - 1/2*k**4 + 1/2*k**2 + 1/2*k**3 + 0*k.
-k**2*(k - 1)*(k + 1)**2/2
Let n(h) be the second derivative of 0 + 22*h + 3/4*h**4 + 0*h**2 - 3/20*h**5 - 3/10*h**6 + 1/2*h**3. Determine w, given that n(w) = 0.
-1, -1/3, 0, 1
Let w(u) be the third derivative of u**7/42 - 5*u**6/24 + 2*u**5/3 - 5*u**4/6 - 23*u**2. Factor w(r).
5*r*(r - 2)**2*(r - 1)
Factor 12*j**3 - 42*j**2 + 40 + 164*j**4 - 38*j + 26*j**3 + 167*j**4 - 329*j**4.
2*(j - 1)**2*(j + 1)*(j + 20)
Let s(t) = 5*t**2 + 14*t + 10. Let j be s(-2). Factor 0 + 9/2*x**3 + 0*x**4 + 0*x - 3*x**j - 3/2*x**5.
-3*x**2*(x - 1)**2*(x + 2)/2
Let p(n) be the second derivative of -n**4/12 + 3*n**3/2 + 5*n**2 + 37*n. Find m such that p(m) = 0.
-1, 10
Let i be (1/(-6))/(86/(-129)). Let a(y) be the third derivative of -i*y**3 + 3/40*y**6 - 4*y**2 + 0 + 1/4*y**4 + 0*y + 11/40*y**5. Factor a(f).
3*(f + 1)**2*(6*f - 1)/2
Let o(m) be the second derivative of m**8/784 - m**7/245 + m**5/70 - m**4/56 - 3*m**2 - 22*m. Let b(u) be the first derivative of o(u). Factor b(n).
3*n*(n - 1)**3*(n + 1)/7
Let s(z) = -z**2 - 39*z + 379. Let q be s(-47). Suppose 0 + w**q + 0*w + 1/2*w**2 + 1/2*w**4 = 0. What is w?
-1, 0
Let m(h) = 2*h - 8. Let q be m(5). Determine a, given that -25*a**2 - 4*a**3 + q - 2 + 5*a**2 = 0.
-5, 0
Let x = -5 - -8. Suppose 2*v = -x + 7. Factor -12*d**3 + 3*d**2 + 2*d**3 + 4*d + 0*d - 9*d**v.
-2*d*(d + 1)*(5*d - 2)
Let w(m) be the third derivative of 1/420*m**7 - 1/120*m**5 + 1/2016*m**8 + 1/720*m**6 - 1/72*m**4 + 0 - 13*m**2 + 0*m**3 + 0*m. Factor w(r).
r*(r - 1)*(r + 1)**2*(r + 2)/6
Let t(j) be the second derivative of j**6/120 + 117*j**5/20 + 1521*j**4 + 158184*j**3 + 233*j. Let t(y) = 0. Calculate y.
-156, 0
Let z(g) be the first derivative of -g**4/6 + 4*g**2 + 29*g - 14. Let l(o) be the first derivative of z(o). Solve l(n) = 0 for n.
-2, 2
Let i(d) = 3*d**2 + 13*d + 10. Let j be i(-5). Let r be 5/20 - j/(-48). Factor 0 - 2/3*y + 0*y**2 + r*y**3.
2*y*(y - 1)*(y + 1)/3
Let h(g) be the first derivative of 32/15*g**3 - 36/5*g - 12/5*g**2 + 4/25*g**5 - 25 + 6/5*g**4. Find n, given that h(n) = 0.
-3, -1, 1
Suppose 54/5*u + 0*u**4 - 24/5*u**3 + 4/5*u**2 + 2/5*u**5 - 36/5 = 0. What is u?
-3, -2, 1, 3
Let j(a) = -3*a + 1. Let n(f) = -39*f + 6. Let z(x) = -4*j(x) + n(x). Let r be z(0). Find v such that -r*v - 1/5*v**2 - 5 = 0.
-5
Suppose 8*z - 509 = 1291. Let d = z + -1569/7. Factor 0 - d*a - 8/7*a**2 - 2/7*a**3.
-2*a*(a + 1)*(a + 3)/7
Factor 4*g**3 + g**3 - 125*g + 0 + 15*g**2 + 131 - 26.
5*(g - 3)*(g - 1)*(g + 7)
Suppose 7106 = -6*c + 7130. Find p, given that 0 + 0*p**c + 2/3*p**3 + 0*p + 4/9*p**2 - 2/9*p**5 = 0.
-1, 0, 2
Let y = -9619 - -9622. Factor 1/6*n**y + 1/3 + 1/2*n**2 - 5/6*n - 1/6*n**4.
-(n - 1)**3*(n + 2)/6
Let o(x) = -3*x**3 + 8*x**2 + 2. Let l(m) = 5*m**2 + 16 - 8 - 4*m**2 - 9 - m**3. Let c(q) = 2*l(q) + o(q). Find k such that c(k) = 0.
0, 2
Factor 0 + 4/5*m**2 + 2/5*m**3 + 0*m.
2*m**2*(m + 2)/5
Let z(j) be the third derivative of 0 - 1/24*j**3 - 1/12*j**4 + 0*j - 11/120*j**5 - 1/20*j**6 - 6*j**2 - 3/280*j**7. Determine i so that z(i) = 0.
-1, -1/3
Factor -9*f**2 - 182*f - 189*f + 15*f**4 - 21*f**3 + 579*f - 187*f - 6.
3*(f - 1)**2*(f + 1)*(5*f - 2)
Let d be 13/12 + (-4)/(-6). Let t = 77 - 307/4. Factor -d*h - 2*h**2 + 1/2*h**4 - 1/2*h**3 + t*h**5 - 1/2.
(h - 2)*(h + 1)**4/4
Let b(f) be the third derivative of 0 + 1/72*f**4 + 0*f**3 - 1/180*f**5 + 1/630*f**7 + 0*f + 14*f**2 - 1/360*f**6. Let b(q) = 0. Calculate q.
-1, 0, 1
Factor 0*m**3 + 0*m + 2/3*m**4 + 0 + 0*m**2.
2*m**4/3
Let h(k) be the first derivative of -4*k**5/5 + 49*k**4/16 - 17*k**3/4 + 19*k**2/8 - k/4 + 124. Let h(b) = 0. What is b?
1/16, 1
Let l(u) be the third derivative of 0 + 1/42*u**7 + 5/336*u**8 + 15*u**2 + 0*u**3 - 1/12*u**5 + 0*u**4 - 1/24*u**6 + 0*u. Factor l(v).
5*v**2*(v - 1)*(v + 1)**2
Let o(b) be the second derivative of -b**4/20 - 7*b**3/5 - 16*b - 2. Suppose o(l) = 0. Calculate l.
-14, 0
Let y be 5*15/50*2. Let f(g) be the third derivative of 0 - y*g**2 + 0*g + 1/120*g**4 - 1/60*g**5 + 0*g**3. Factor f(b).
-b*(5*b - 1)/5
Factor 2/7*u**2 + 36/7 - 22/7*u.
2*(u - 9)*(u - 2)/7
Let u(t) be the third derivative of -t**7/70 + 3*t**6/5 - 37*t**5/20 - 75*t**4/4 - 44*t**3 - 758*t**2. Factor u(j).
-3*(j - 22)*(j - 4)*(j + 1)**2
Suppose -5*n = -6*n + 1. Let f be n/(-2)*16/(-12). Factor 0 + 2/3*a**5 + 0*a + f*a**2 - 2/3*a**4 - 2/3*a**3.
2*a**2*(a - 1)**2*(a + 1)/3
Factor 3/7*d**2 + 72/7*d + 0.
3*d*(d + 24)/7
Let v(r) = 14*r**3 - 42*r**2 + 48*r - 14. Let n(d) = d**3 - d**2 - 2*d + 1. Let m(h) = 6*n(h) + v(h). Factor m(z).
4*(z - 1)**2*(5*z - 2)
Find f, given that 119/8*f + 1/8*f**4 - 11/8*f**3 + 9/8*f**2 + 49/4 = 0.
-2, -1, 7
Let i(g) = -2*g**4 - g**3. Let w(a) = -8*a**4 + 3*a**3 + 64*a**2 + 120*a + 64. Let c(r