*4 - 1142/5*v**3 - 162/5*v**5 - 320*v - 168/5 - 4122/5*v**2 = 0.
-1, -2/9, 3, 7
Let d(j) = -4*j**2 - 32*j - 63. Suppose g = 3*g - 6. Let p(l) = -g - 4 + 4 + 4. Let k(w) = -d(w) + p(w). Factor k(o).
4*(o + 4)**2
Suppose 0 = -15*w + 12*w + 6. Determine x, given that -3*x**3 - x**2 + 3*x**w - 6*x**2 = 0.
-4/3, 0
Let x(p) be the first derivative of p**3/15 + 7*p**2/5 + 937. Factor x(v).
v*(v + 14)/5
Let a be -14 + 10 + -7 - -11. Determine h so that a + h - 1/3*h**2 = 0.
0, 3
Let l(u) be the third derivative of u**6/300 - u**5/50 - u**4/15 + 4*u**3/5 - 28*u**2. Factor l(c).
2*(c - 3)*(c - 2)*(c + 2)/5
Let y be (-5)/18*(66/30 - 3). Let c = 160 + -1438/9. Suppose c*x + y*x**2 - 4/9 = 0. What is x?
-2, 1
Let b(u) be the third derivative of 0 - 1/12*u**3 - 1/15*u**5 + 0*u + 1/1344*u**8 + 3/32*u**4 + 7/240*u**6 - 4*u**2 - 1/140*u**7. Find t, given that b(t) = 0.
1, 2
Let c(l) = -2*l**3 - 29*l**2 + 13*l - 27. Let k be c(-15). Suppose -k*n - 8 + 20 = 0. Factor 0 - n*h + 16/3*h**2 - 4/3*h**3.
-4*h*(h - 3)*(h - 1)/3
Suppose 3*n + 17 = -5*k, -k = 4*n - 2*n + 9. Let g be n - 1 - -2*396/152. Suppose -2/19 - g*z - 2/19*z**2 = 0. Calculate z.
-1
Suppose -3*q - q - 6 = -3*o, o + 5 = -q. Let m be 2 + (o - (-8)/20). Solve -m*j**2 - 4/15*j**3 - 8/15 + 2/15*j**4 + 16/15*j = 0 for j.
-2, 1, 2
Let x(o) be the first derivative of -18050*o**3/3 - 570*o**2 - 18*o - 391. Suppose x(i) = 0. What is i?
-3/95
Let l be 2/(-4)*(-1 - 5). Let o be (18/(-4))/((-114)/38). Factor 0 - 1/2*s**l + o*s**2 - s.
-s*(s - 2)*(s - 1)/2
Let b = 66 - 62. Factor -33*z**3 - 395*z**5 - 47*z**3 + 13*z**4 - 69*z**b - 32*z**2 + 383*z**5.
-4*z**2*(z + 2)**2*(3*z + 2)
Let v(c) be the first derivative of -6*c**4 - 24*c + 22 + 4*c**3 - 1/4*c**6 + 12*c**2 + 21/10*c**5. Factor v(m).
-3*(m - 2)**4*(m + 1)/2
Suppose 1/5*v**2 - 17/5*v - 18/5 = 0. Calculate v.
-1, 18
Let s(n) be the first derivative of -2*n**5/25 - 7*n**4/10 - 4*n**3/5 + 32*n**2/5 + 64*n/5 - 237. Find z, given that s(z) = 0.
-4, -1, 2
Let u(n) be the first derivative of n**6/255 - n**5/102 + n**4/204 + 7*n**2 + 5. Let o(i) be the second derivative of u(i). Factor o(q).
2*q*(q - 1)*(4*q - 1)/17
Suppose -4*v - 30 = 18. Let s = 15 - v. Factor 35 - 6*g + s + 3*g**2 - 59.
3*(g - 1)**2
Let v = 9325 - 27967/3. Factor 0*j - v + 2/3*j**2.
2*(j - 2)*(j + 2)/3
Let c = 21 - 16. Factor -c*u**3 - 45 + 15*u**2 + 45 - 10*u.
-5*u*(u - 2)*(u - 1)
Let d be (1 + (-204)/(-8))/(-5 - -4). Let t = d + 27. Factor t + 3/4*a + 1/4*a**2.
(a + 1)*(a + 2)/4
Let z(v) be the first derivative of v**3/3 + 67*v**2 + 4489*v + 203. Suppose z(g) = 0. What is g?
-67
Let i = -41852 + 41858. Factor 6*z + 3*z**2 - 9/2 - i*z**3 + 3/2*z**4.
3*(z - 3)*(z - 1)**2*(z + 1)/2
Let -3552*o**3 + 3948*o**3 - 435*o**2 + 1 + 7 - 2 + 33*o = 0. What is o?
-1/12, 2/11, 1
Let l(t) be the third derivative of 0*t**3 - 1/60*t**5 + 0*t - 1/60*t**6 + 0 + 39*t**2 + 1/12*t**4 + 1/210*t**7. Solve l(b) = 0 for b.
-1, 0, 1, 2
Let k(w) = -7*w + 2. Let v be k(0). Let l(h) be the first derivative of -3*h**v + 2 - 2*h - 4/3*h**3. Determine p, given that l(p) = 0.
-1, -1/2
Let v(m) = m**3 + 7*m**2 + 7*m - 5. Let z be v(-6). Let u = 13 + z. Factor 4*y - 6*y - u*y**2 - 2*y.
-2*y*(y + 2)
Let w(r) be the third derivative of r**8/84 - 2*r**7/105 - r**6/10 + r**5/15 + r**4/3 - 6*r**2 - 3. Factor w(f).
4*f*(f - 2)*(f - 1)*(f + 1)**2
Let u(c) be the second derivative of 2*c**7/63 - 4*c**6/45 + 2*c**4/9 - 2*c**3/9 - 8*c. Factor u(z).
4*z*(z - 1)**3*(z + 1)/3
Suppose 53*y - 48*y = 30. Suppose -2*i = i - y. Suppose -1/4*c**i - 1/4*c**3 + 1/4 + 1/4*c = 0. Calculate c.
-1, 1
Let n be 375/55 + (-2)/(-11). Let q = n + -3. Solve 3*h**q + 6*h**4 - 6*h**2 - 3*h + 0*h**5 - 3*h**4 + 3*h**5 = 0.
-1, 0, 1
Let y(s) = -5*s**3 + 172*s**2 + 371*s + 186. Let t(q) = -70*q**3 + 2410*q**2 + 5195*q + 2605. Let m(p) = 4*t(p) - 55*y(p). Find w such that m(w) = 0.
-1, 38
Factor 80/3 - 25/6*m**2 - 70/3*m + 5/6*m**3.
5*(m - 8)*(m - 1)*(m + 4)/6
Let g = 18 - 15. Factor 2*s**3 - 11*s**3 - 3*s + 6*s**g + 6*s**2.
-3*s*(s - 1)**2
Factor 0 - 2/9*a**2 - 32/9*a + 32/9*a**3 + 2/9*a**4.
2*a*(a - 1)*(a + 1)*(a + 16)/9
Suppose 10 = 3*m + 4*l, 1 = m - 3*l + 2. Factor 2*n**2 + 2*n - 19*n**3 - 3*n**m + 3*n**3 - 19*n**4 - 7*n**5 + n**3.
-n*(n + 1)**3*(7*n - 2)
Let j be ((-9)/(-3) - 3)*1. Suppose j = -f + 4 - 2. Factor -8*g**2 - 8*g**2 - 34*g - 12 + 7*g**f - 5*g.
-3*(g + 4)*(3*g + 1)
Let t(k) be the third derivative of -1/2*k**3 + k**2 + 0 - 1/20*k**5 - 1/4*k**4 + 0*k. Factor t(p).
-3*(p + 1)**2
Find c such that -27/8 - 15/4*c - 3/8*c**2 = 0.
-9, -1
Suppose 2*h = -5*f + h + 24, 3*f = 4*h - 4. Factor 16 - 2772*s**2 + f + 2767*s**2.
-5*(s - 2)*(s + 2)
Let f be ((-15)/2)/((-120)/72) + -2. What is g in -2 + f*g - 1/2*g**2 = 0?
1, 4
Suppose 0 = -6*r + 7 + 11. Factor -45 + 3*o**2 + r*o**2 - 5*o**2 + 4*o**2.
5*(o - 3)*(o + 3)
Let x(t) = -5*t**3 + 29*t**2 - 47*t - 81. Let z(n) = -21*n**3 + 114*n**2 - 189*n - 324. Let j(q) = 9*x(q) - 2*z(q). Determine p so that j(p) = 0.
-1, 3, 9
Suppose -5*a = -a + 4*r - 12, -2*a = 4*r - 2. Let w be a/30 + (-303)/(-126). Factor w*u - 20/7*u**2 + 6/7*u**3 - 4/7.
2*(u - 2)*(u - 1)*(3*u - 1)/7
Let v = -7958 + 7960. Factor 2*f + v*f**2 + 2/3 + 2/3*f**3.
2*(f + 1)**3/3
Suppose -22*r - 71*r = 30*r. Factor 2/3*z**2 + r*z - 8/3.
2*(z - 2)*(z + 2)/3
Solve 6/5*j**2 + 2/5*j**4 + 0 + 0*j + 8/5*j**3 = 0.
-3, -1, 0
Factor 31*z**2 + 79*z - 13*z**2 - 91*z - 19*z**2 - 32.
-(z + 4)*(z + 8)
Let l be (-4)/7 + 25/7. Suppose -3*v = -i - 3, 2 = -l*i - 4*v + 6*v. Factor -4/3*r**2 + 4/3*r**4 + i*r - 4/3*r**5 + 4/3*r**3 + 0.
-4*r**2*(r - 1)**2*(r + 1)/3
Let c = 16/35 + -29/140. Let i(b) be the second derivative of 0*b**3 + 3/2*b**2 + 4*b + 0 - c*b**4. Factor i(w).
-3*(w - 1)*(w + 1)
Let x(c) be the first derivative of 0*c + 4*c**2 - 2/3*c**3 + 16. Solve x(p) = 0 for p.
0, 4
Let r = -3/986 + 702047/4930. Let q = r - 140. Suppose -q*l**2 - 18/5*l**3 + 0 - 2/5*l = 0. What is l?
-1/3, 0
Let c be 0/((-1)/(-2)*-2). Suppose 5*i - 2*i - 9 = c. Determine r, given that 2*r**2 + r**2 + 7*r - 3*r + r**2 + r**i = 0.
-2, 0
Let i be -6 + (2223/169 - 4/26). Let r(v) be the first derivative of 1/18*v**3 - i - 1/4*v**2 + 1/3*v. Find f, given that r(f) = 0.
1, 2
Let n = -22123 + 22127. Find g, given that 1/11*g + 2/11*g**n - 1/11*g**5 + 0*g**3 + 0 - 2/11*g**2 = 0.
-1, 0, 1
Let m be 2/5 - (-18)/5. Let t(b) be the second derivative of 0*b**3 - 1/168*b**7 - 3/80*b**5 + 1/40*b**6 + 0*b**2 + 2*b + 1/48*b**m + 0. Factor t(d).
-d**2*(d - 1)**3/4
Let a = -265 + 267. Let m(w) be the second derivative of 3*w + 0 - 1/60*w**5 + 1/6*w**3 + 0*w**4 + 1/3*w**a. Factor m(s).
-(s - 2)*(s + 1)**2/3
Determine k, given that -2*k**2 - 5*k - 2 + 0*k**2 + 6*k**2 + 10*k - 3*k = 0.
-1, 1/2
Let i(n) be the second derivative of -n**7/140 + n**6/80 + 9*n**2/2 - 7*n. Let u(p) be the first derivative of i(p). Factor u(o).
-3*o**3*(o - 1)/2
Let s be (-640)/(-240) - (-8)/6. What is l in 0*l**3 + 0 + 1/4*l**5 + 1/2*l**2 - 1/2*l**s - 1/4*l = 0?
-1, 0, 1
Let b(g) = -92*g**3 - 308*g**2 + 84*g. Let x(m) = -13*m**3 + 0*m**2 + 12*m + 4*m**2 - 48*m**2. Let s(h) = -3*b(h) + 20*x(h). Factor s(j).
4*j*(j + 3)*(4*j - 1)
What is t in 92/5*t**2 + 8*t**3 + 4/5*t**4 + 0 + 56/5*t = 0?
-7, -2, -1, 0
Determine a so that -70/3*a - 2/3*a**3 - 22/3*a**2 - 50/3 = 0.
-5, -1
Solve 8*p**3 + p - 5*p**4 + 17*p**3 - 29*p + 3*p + 5*p**2 = 0 for p.
-1, 0, 1, 5
Let r(n) be the third derivative of -n**6/360 - n**5/90 + 55*n**4/72 + 100*n**3/9 + 529*n**2. Factor r(w).
-(w - 8)*(w + 5)**2/3
Let w(r) be the second derivative of -3/10*r**2 + 0 + 14*r - 1/5*r**3 - 1/20*r**4. Let w(h) = 0. Calculate h.
-1
Let l = 8439/70 + 103/35. Let t = -123 + l. Determine p, given that -1/5 - t*p + 2/5*p**2 + 3/10*p**3 = 0.
-2, -1/3, 1
Let t(x) be the third derivative of -x**5/390 + 2*x**4/39 - 16*x**3/39 - 67*x**2 - 2. Factor t(o).
-2*(o - 4)**2/13
Factor 78*s**2 - 142*s**2 + 84*s**2 - s**3 + 43*s + 22.
-(s - 22)*(s + 1)**2
Let k(g) be the first derivative of 4*g**5 + 0*g**2 - 8*g**4 + 0*g - 2/3*g**6 - 3 + 16/3*g**3. Suppose k(u) = 0. Calculate u.
0, 1, 2
Suppose -45*k**2 - 36*k**2 + 51*k**2 - 5*k**3 - 40*k**2 - 65*k = 0. What is k?
-13, -1, 0
Let p(b) be the third derivative of -b**6/360 + b**5/180 + b**4/36 - 76*b**2. Factor p(y).
-y*(y - 2)*(y + 1)/3
Let p(m) be