 2*k**2 - 10*k - 13. Let m(f) be the first derivative of g(f). Factor m(y).
-2*(y - 1)*(y + 2)
Let m be 38/(-15) + (-4)/(-20). Let z = -5/3 - m. Let -8/3*h**2 + z*h**3 + 0 + 8/3*h**4 - 2/3*h = 0. Calculate h.
-1, -1/4, 0, 1
Suppose 5*c + 80 + 90 = 0. Let k = c + 34. Find w, given that 1/5*w**4 + 0 - 3/5*w**2 - 2/5*w + k*w**3 = 0.
-1, 0, 2
Determine m so that -12/5 + 3/5*m**2 + 4/5*m - 1/5*m**3 = 0.
-2, 2, 3
Let l(f) be the first derivative of -f**5/5 + f**4 + 3*f**3 - 8*f**2 - 20*f + 366. Determine t so that l(t) = 0.
-2, -1, 2, 5
Let v(n) be the third derivative of 1/24*n**4 + 8*n**2 + 0 + 0*n + 1/120*n**6 + 0*n**3 - 1/30*n**5. Factor v(j).
j*(j - 1)**2
What is d in -12*d**4 - 34*d + 0*d**3 + 34*d - 1952*d**5 + 15*d**3 + 1949*d**5 = 0?
-5, 0, 1
Factor 3*z**3 + 0*z - 9*z**2 - 2*z + 8*z.
3*z*(z - 2)*(z - 1)
Let 19*b**2 - b**2 + 32*b + 2*b**3 - 2*b**2 - 3*b + 3*b = 0. What is b?
-4, 0
Let h be (-1)/(-5) + (-1203)/6165. Let j = h + 11093/822. Let 27/2*r + 1/2*r**3 - 9/2*r**2 - j = 0. What is r?
3
Suppose 4/11*z**4 + 0*z + 0 - 2/11*z**5 - 2/11*z**3 + 0*z**2 = 0. Calculate z.
0, 1
Suppose 6*i - 2*i + 136 = 0. Let k = -32 - i. Factor 2/3 - 5/3*g**3 + 3*g**k + 1/3*g**4 - 7/3*g.
(g - 2)*(g - 1)**3/3
Let d(b) be the second derivative of b**4/6 - 29*b**3 + 41*b - 1. Factor d(u).
2*u*(u - 87)
Let k be (-830)/(-4) + 4 + -6. Let b = k + -203. Factor 0 + b*t**3 - 5/2*t**4 + 5/2*t**2 - 5/2*t.
-5*t*(t - 1)**2*(t + 1)/2
Let w(k) be the second derivative of k**6/120 + k**5/16 + 3*k**4/16 + 7*k**3/24 + k**2/4 - 4*k + 1. Determine h, given that w(h) = 0.
-2, -1
Let t be 7 + (-11 - 1)/(-12). Let q(a) be the first derivative of 6*a**2 - 8/3*a**3 + 5 + t*a. Factor q(r).
-4*(r - 2)*(2*r + 1)
Suppose 2/5*r**3 + 32/5 + 12/5*r - 18/5*r**2 = 0. Calculate r.
-1, 2, 8
Let b(j) be the first derivative of -5*j**4/4 + 10*j**3/3 + 25*j**2/2 - 30*j - 84. Factor b(n).
-5*(n - 3)*(n - 1)*(n + 2)
Factor -209 + 2*a**2 + 24*a - 245 + 364.
2*(a - 3)*(a + 15)
Let b(w) be the third derivative of w**5/270 + 37*w**4/27 + 5476*w**3/27 - 5*w**2 + w. Find s, given that b(s) = 0.
-74
Let z be (2 + 30/(-27))/((-16 - -3)/(-13)). Factor -2/3*v**3 + 2/9*v**2 + 0 - z*v**4 + 0*v.
-2*v**2*(v + 1)*(4*v - 1)/9
Let r(t) be the third derivative of t**5/60 - 7*t**4/24 + 4*t**3/3 - 20*t**2. Let v be r(6). Let 4/3 + 0*u - 1/3*u**v = 0. What is u?
-2, 2
Let c(y) be the second derivative of -1/4*y**4 + 2*y**3 - 8*y + 0 - 6*y**2. Solve c(i) = 0.
2
Suppose m - 1 = 1. Let s be 30/(-108)*3 + (-21)/(-2) - 7. Factor s*n**3 - 28/3*n + 2 + 14/3*n**m.
2*(n - 1)*(n + 3)*(4*n - 1)/3
Let p(w) be the third derivative of -w**5/150 - 7*w**4/10 + 88*w**3/15 + w**2 - 24*w. Determine c, given that p(c) = 0.
-44, 2
Let -b + 3*b**3 - 2*b**5 + 6*b**5 - 5*b**5 - b**3 = 0. Calculate b.
-1, 0, 1
Let n(u) be the second derivative of 1/2*u**2 + 1/48*u**4 + 1/6*u**3 + 0 + 2*u. Factor n(d).
(d + 2)**2/4
Let x(k) be the first derivative of k**3/8 + 39*k**2/16 - 59. Solve x(a) = 0.
-13, 0
Factor 0*h**3 - 2/7*h**4 + 2*h**2 + 0 - 12/7*h.
-2*h*(h - 2)*(h - 1)*(h + 3)/7
Let r(c) = -c - 2. Let j be r(-6). Let y(z) = 5*z**3 - 19*z**2 - 24*z. Let k(h) = -70*h**3 + 265*h**2 + 335*h. Let g(p) = j*k(p) + 55*y(p). Factor g(d).
-5*d*(d - 4)*(d + 1)
Factor 1/6*f**5 + 0 + 0*f**2 + 0*f + 2/3*f**3 + 2/3*f**4.
f**3*(f + 2)**2/6
Let s = -2755 + 13783/5. Determine r, given that -4/5 + 2*r + 2/5*r**3 - s*r**2 = 0.
1, 2
Let t(d) be the first derivative of -1/51*d**3 - 1/34*d**4 + 0*d**2 - 5*d - 6. Let w(s) be the first derivative of t(s). Let w(c) = 0. What is c?
-1/3, 0
Let f = 16 - 14. Find m, given that 0*m**f - 3*m - 2*m - m**2 - 4*m**2 + 5*m**3 + 5 = 0.
-1, 1
Let j = 0 + 4. Suppose 4*p - j - 4 = 0. Find q, given that -2/7 + 8/7*q + 2/7*q**p - 8/7*q**3 = 0.
-1, 1/4, 1
Let x(c) be the second derivative of -c**7/504 - c**6/72 + c**4/3 + 4*c. Let s(z) be the third derivative of x(z). Solve s(p) = 0.
-2, 0
Let k(n) = 3*n**2 + 56*n - 47. Let g(j) = 5*j**2 + 55*j - 45. Let p(y) = -4*g(y) + 5*k(y). Factor p(b).
-5*(b - 11)*(b - 1)
Let l(v) be the second derivative of -v**7/14 + 8*v**6/5 - 117*v**5/10 + 28*v**4 - 49*v**3/2 + 28*v. Suppose l(h) = 0. Calculate h.
0, 1, 7
Find v such that 0 + 0*v + 2/5*v**4 - 16/5*v**3 + 32/5*v**2 = 0.
0, 4
Let r(l) be the third derivative of -5*l**5/12 + 45*l**4/8 - 25*l**3/3 - 158*l**2. Factor r(u).
-5*(u - 5)*(5*u - 2)
Let s be ((-9)/18)/((-1)/(-10)). Let v(j) = -j**2 - 8*j - 7. Let p be v(s). Let z**2 + 1 + 3*z**2 - 1 + p - 12*z = 0. Calculate z.
1, 2
Let m(k) be the second derivative of k**6/150 - 9*k**5/50 - k**4/15 + 12*k**3/5 - 387*k. Suppose m(i) = 0. What is i?
-2, 0, 2, 18
Let z = -2284/39 + 770/13. Factor -4/3*f**2 + z*f - 2/3*f**3 + 4/3.
-2*(f - 1)*(f + 1)*(f + 2)/3
Factor -2 - 1/2*y**2 + 2*y.
-(y - 2)**2/2
Let x(z) be the second derivative of z**8/3360 - z**7/5040 - 5*z**4/6 - 15*z. Let w(s) be the third derivative of x(s). Factor w(g).
g**2*(4*g - 1)/2
Let m(c) be the second derivative of 3*c**5/100 + 33*c**4/20 - 17*c**3/5 + 417*c. Factor m(l).
3*l*(l - 1)*(l + 34)/5
Suppose 1/4*q**3 + 357911/4 + 213/4*q**2 + 15123/4*q = 0. Calculate q.
-71
Let o(f) be the first derivative of f**6/16 - 9*f**5/40 - 3*f**4/8 - 306. Factor o(v).
3*v**3*(v - 4)*(v + 1)/8
Let a be (-1)/(-15)*-4 - (-201)/335. Factor -k**2 - a*k - k**3 - 1/3*k**4 + 0.
-k*(k + 1)**3/3
Solve 54*g**3 - 30*g**3 - 4*g**4 + 60*g**3 = 0.
0, 21
Let s(l) be the first derivative of l**4/24 + l**3/6 + 43. Solve s(n) = 0 for n.
-3, 0
Let p be (-32)/(-5) + (-22)/55. Factor -p*u**2 + 18*u**5 + 22*u**2 + 84*u**4 + 64*u**3 + 18*u**5.
4*u**2*(u + 1)*(3*u + 2)**2
Let d be (-4)/(-18) + (-34)/(-9). Factor -y**4 + 2*y**4 - y**d - 2*y**3 - y**4 - y**2.
-y**2*(y + 1)**2
Factor s**5 - 36*s**3 - 4*s**5 - 20*s**4 + 18*s - 32*s**3 + 108 + 36*s - 72*s**2 + s**5.
-2*(s - 1)*(s + 2)*(s + 3)**3
Let n(t) be the third derivative of 0*t**3 + 13*t**2 + 1/70*t**7 + 0*t**4 + 0*t - 1/20*t**5 + 0 + 0*t**6. Let n(q) = 0. Calculate q.
-1, 0, 1
Factor 6318/5*y + 1024/5*y**4 - 3024/5*y**2 - 1408/5*y**3 - 2916/5.
2*(y + 2)*(8*y - 9)**3/5
Factor -16425 + 16425 + 26*g**3 - 8*g**4 - 6*g**2.
-2*g**2*(g - 3)*(4*g - 1)
Let d = -55 - -58. Factor w**2 - w**2 - w**2 - d*w**2 - 16*w**3.
-4*w**2*(4*w + 1)
Let i be 32/(-12)*(-3)/4. Let h(b) = -2*b - 7. Let c be h(-5). Factor o**3 + 0*o**c - 2*o**3 - i*o**2 - o.
-o*(o + 1)**2
Solve 84*n - 2*n**2 + 56*n + 7*n**2 = 0 for n.
-28, 0
Suppose s - 9 + 3 = 0. Suppose 5*x - s*x = -3. Factor 0*f + 0 - 3/2*f**x + 3*f**2.
-3*f**2*(f - 2)/2
Let l(p) be the second derivative of 0*p**2 + 7*p + 0 + 0*p**4 + 5/6*p**3 - 1/4*p**5. Factor l(t).
-5*t*(t - 1)*(t + 1)
Let w(q) be the third derivative of -q**7/6300 - q**6/1800 + q**5/150 + 5*q**4/12 + 2*q**2. Let p(h) be the second derivative of w(h). Factor p(u).
-2*(u - 1)*(u + 2)/5
Let a(i) be the second derivative of i**5/70 + i**4/42 - 4*i**3/21 - 4*i**2/7 - 8*i + 6. Factor a(w).
2*(w - 2)*(w + 1)*(w + 2)/7
Let z = -152/3 - -3043/60. Let d(q) be the second derivative of -z*q**5 + 0*q**3 + 0*q**2 - 3*q + 0 + 0*q**4. Factor d(n).
-n**3
Let d(c) be the third derivative of -c**5/330 + 3*c**4/44 - 14*c**3/33 + 22*c**2. Solve d(h) = 0.
2, 7
Factor 0 + 1/6*d**2 - 7/6*d.
d*(d - 7)/6
Let r be 428/6*2/20. Let k = 37/5 - r. Factor 2/15*z - 2/15*z**5 - 4/15*z**2 + 0*z**3 + 0 + k*z**4.
-2*z*(z - 1)**3*(z + 1)/15
Factor 0 + 0*c - 4/7*c**3 - 20/7*c**2.
-4*c**2*(c + 5)/7
Let l(x) be the first derivative of 2/9*x**3 - 2/15*x**5 - 1/12*x**2 + 5 + 1/24*x**4 + 0*x. Let l(z) = 0. Calculate z.
-1, 0, 1/4, 1
Let k(i) = -128*i**4 + 36*i**3 + 244*i**2 - 28*i. Let g(d) = -14*d**4 + 4*d**3 + 27*d**2 - 3*d. Let p(l) = 28*g(l) - 3*k(l). Factor p(s).
-4*s**2*(s - 2)*(2*s + 3)
Let w(n) be the third derivative of -n**6/180 + 7*n**4/36 + 2*n**3/3 + 113*n**2. Factor w(s).
-2*(s - 3)*(s + 1)*(s + 2)/3
Suppose -f = -214*j + 216*j + 2, 0 = -2*j - 2*f - 8. Factor -2/3*v**j - 392/3 + 56/3*v.
-2*(v - 14)**2/3
Let d(u) = 4*u**2 + 58*u - 56. Let h(i) = -9*i**2 - 118*i + 112. Let a(f) = -10*d(f) - 4*h(f). Let a(x) = 0. Calculate x.
-28, 1
Let i(p) be the third derivative of p**7/490 - p**6/1260 - p**5/210 + 2*p**3/3 - 6*p**2. Let j(l) be the first derivative of i(l). Let j(r) = 0. What is r?
-1/2, 0, 2/3
Let h(y) be the third derivative of 10*y**2 - 7/20*y**5 - 17/24