3/5*c**2 - 3/5*c**3 + 3/5*c**4 + 3/5*c**5 + t*c = 0.
-1, 0, 1
Suppose 76 - 68 = i + 4*v, -2*i + 8 = 4*v. Let -2/13*t**5 + 0*t**2 + 0 + 4/13*t**4 + 0*t**3 + i*t = 0. What is t?
0, 2
Factor 3/2*t**4 - 2*t**3 + 0*t + 0 - 2*t**2.
t**2*(t - 2)*(3*t + 2)/2
Let i(b) = -74 + 65 + 6*b**2 - 10*b - 43*b. Let n be i(9). Let n - 2/7*f**2 + 2/7*f**4 - 2/7*f + 2/7*f**3 = 0. Calculate f.
-1, 0, 1
Determine m so that 953*m**4 + 80*m**3 - 869*m**4 + 3*m**5 + m**5 = 0.
-20, -1, 0
Let x(c) be the first derivative of -c**6/60 - 13*c**5/150 + 13*c**4/30 - 8*c**3/15 - 31*c**2/2 + 25. Let p(f) be the second derivative of x(f). Factor p(o).
-2*(o - 1)*(o + 4)*(5*o - 2)/5
Let y be 7/35*(12 + -2). Factor 4/5*w**y + 676/5 - 104/5*w.
4*(w - 13)**2/5
Let p(o) be the third derivative of -o**6/900 + 13*o**5/225 + o**4/180 - 26*o**3/45 - 493*o**2. Solve p(a) = 0.
-1, 1, 26
Let s(u) be the first derivative of u**7/840 + u**6/180 - u**5/30 - u**4/3 + 23*u**3/3 - 33. Let j(v) be the third derivative of s(v). Factor j(m).
(m - 2)*(m + 2)**2
Let o(z) = 3*z**3 + 159*z**2 + 8425*z + 148875. Let n(d) = 7*d**3 + 318*d**2 + 16849*d + 297749. Let a(t) = 4*n(t) - 10*o(t). Solve a(y) = 0 for y.
-53
Let k(b) be the first derivative of 0*b**2 + 2/3*b**3 - 3 - 1/84*b**4 - 1/1260*b**6 + 0*b - 1/210*b**5. Let j(d) be the third derivative of k(d). Factor j(l).
-2*(l + 1)**2/7
Suppose -9*l + 12 = 12. What is o in -4/3*o**3 + 1/3*o**5 + 2/3 + o + l*o**4 - 2/3*o**2 = 0?
-1, 1, 2
Let d(f) = f**2 + f + 2. Let m be d(-2). Suppose -10*l + 3*l - 4*l**2 - m - l = 0. Calculate l.
-1
Factor 54/7*u**2 + 132/7*u + 0 - 6/7*u**3.
-6*u*(u - 11)*(u + 2)/7
Let u(d) be the first derivative of 3*d**4/16 + d**3 + 27. Find p such that u(p) = 0.
-4, 0
Let o(s) be the second derivative of -s**5/30 + s**4/6 + 2*s**3/3 - 8*s**2/3 - 190*s. Solve o(r) = 0.
-2, 1, 4
Let i(j) = -j**2. Let h be i(-1). Let c(d) = 2*d**2 - d + 5. Let m(t) = -t - 1. Let u(b) = h*c(b) - 3*m(b). Factor u(y).
-2*(y - 1)**2
Factor -60*f**4 - 2*f**3 - 18*f + 12*f**2 + 61*f**4 + 17*f**2 + 12 + 12*f**3 + 50*f.
(f + 1)**2*(f + 2)*(f + 6)
Let c be ((-4)/(-12))/(2/(-12)). Let z be -2*(3 - (-15)/c). Factor 40*r - z - 19*r + 3*r**2 - 27*r.
3*(r - 3)*(r + 1)
Let q(p) be the third derivative of 0*p + 0 - p**3 - 1/20*p**5 + 8*p**2 + 3/8*p**4. Factor q(n).
-3*(n - 2)*(n - 1)
Let w(p) = -7*p - 36. Let k be w(-13). Factor -k*d**2 + 60*d**2 + 21*d + 4*d.
5*d*(d + 5)
Let m = -87 + 83. Let g be (-45)/12 + 0 - m. Factor -5/4*l**2 + 0 - g*l.
-l*(5*l + 1)/4
Let a(s) be the first derivative of -s**4/4 - s**3/3 - 4. Let k(y) = 12*y**3 + 58*y**2 + 58*y + 12. Let h(n) = 4*a(n) - 2*k(n). Solve h(d) = 0 for d.
-3, -1, -2/7
Let z(q) be the second derivative of -q**4/4 - 37*q**3/2 - 3*q + 25. Factor z(l).
-3*l*(l + 37)
Factor 8*i**2 + 250 - i**2 - 135*i - 5*i**2 + 3*i**2.
5*(i - 25)*(i - 2)
Factor 6*k + 2/3*k**4 + 0 - 2/3*k**3 - 6*k**2.
2*k*(k - 3)*(k - 1)*(k + 3)/3
Let b = -636 - -3186/5. Suppose 28 = c + 5*f, 0*f - 7 = -4*c + f. Factor 0 + b*p - 11/5*p**2 + 3/5*p**c.
p*(p - 3)*(3*p - 2)/5
Let p(j) be the third derivative of -j**7/945 + j**6/135 - j**5/45 + j**4/27 - j**3/27 + 266*j**2. Factor p(q).
-2*(q - 1)**4/9
Let k(a) be the first derivative of 0*a + 0*a**2 + 2/25*a**5 - 2/5*a**3 - 1/5*a**4 + 45. Let k(m) = 0. What is m?
-1, 0, 3
Let s(z) = -6*z - 7. Let m be s(-3). Let w(t) = -t**2 + 11*t + 9. Let q be w(m). Factor -2*h - 2*h**2 + h**5 - 2*h**3 + h**4 + 3*h - q + 10.
(h - 1)**2*(h + 1)**3
Let l be -1 + -4*30/(-24). Let -30*k**2 - 88*k**5 + 10*k**2 + 10*k**3 + 20*k**l + 93*k**5 - 4*k - 11*k = 0. What is k?
-3, -1, 0, 1
Suppose 18 - 20*t - 35*t**2 - 37*t**2 + 74*t**2 = 0. What is t?
1, 9
Let n(y) be the first derivative of -1/8*y**2 + 0*y**3 + 5*y - 5 + 1/24*y**4 - 1/120*y**6 + 0*y**5. Let m(t) be the first derivative of n(t). Factor m(c).
-(c - 1)**2*(c + 1)**2/4
Let c(i) be the first derivative of -i**4/16 + i**3/12 + i**2/2 - i + 181. Factor c(l).
-(l - 2)*(l - 1)*(l + 2)/4
Let l(m) be the third derivative of -m**6/660 - 16*m**5/55 - 63*m**4/44 - 94*m**3/33 + 70*m**2 + 4*m. Let l(d) = 0. Calculate d.
-94, -1
Determine m, given that 16*m**4 - 4/5*m**5 - 388/5*m**3 - 160 - 248/5*m**2 + 272*m = 0.
-2, 1, 10
Suppose -25*a - 64 = -24*a. Let c = -191/3 - a. Factor 0*r**2 + 0 - 1/3*r**3 + c*r.
-r*(r - 1)*(r + 1)/3
What is f in 4 - 74/3*f**2 - 218/3*f = 0?
-3, 2/37
Let -1330*c**2 + 51*c + 2663*c**2 - 50 - 1334*c**2 = 0. Calculate c.
1, 50
Suppose 60*f + 18 - 78 = 0. Let t(r) be the first derivative of 0*r**2 - f - r**4 - 8/9*r**3 + 0*r. Find k, given that t(k) = 0.
-2/3, 0
Let c(f) be the second derivative of f**4/4 + 9*f**3 + 243*f**2/2 - 61*f. Factor c(t).
3*(t + 9)**2
Factor 30*n**4 - 4*n**2 - 13*n**4 - 3*n**4 - 10*n**4 + 8*n - 8*n**3.
4*n*(n - 2)*(n - 1)*(n + 1)
Let q = 30 - 27. Factor -c**3 + 0*c**q - 31*c**2 - 4*c**3 + 21*c**2 + 5*c**4.
5*c**2*(c - 2)*(c + 1)
Let b(t) be the second derivative of t**6/105 - t**5/10 - t**4/42 + t**3/3 - 15*t. Determine c so that b(c) = 0.
-1, 0, 1, 7
Let g = -55 + 54. Let x(w) = w**2 + 3*w + 4. Let l be x(g). Factor 1/5*r**l + 0 - 1/5*r.
r*(r - 1)/5
Let q(v) be the first derivative of -3*v**5/35 + 69*v**4/7 - 3174*v**3/7 + 73002*v**2/7 - 839523*v/7 + 69. What is r in q(r) = 0?
23
Let l = -360 - -723/2. Let v be 4/(-14)*(-23 + 16). Factor 25/6*j + 1 - l*j**v.
-(j - 3)*(9*j + 2)/6
Let q(g) be the third derivative of -g**2 + 0*g**5 + 0*g**3 + 1/180*g**6 + 0*g + 1/315*g**7 + 0*g**4 + 0. Find o, given that q(o) = 0.
-1, 0
Factor -6*p**5 - 50*p + 46 + 100*p**3 + 10*p**2 - 48*p**4 + 4 - 55*p + 11*p**5 - 12*p**4.
5*(p - 10)*(p - 1)**3*(p + 1)
Let 73*r**4 + 7*r**2 - r**5 - 13*r**3 - 5*r - 67*r**4 + 5*r**2 + r = 0. Calculate r.
0, 1, 2
Suppose -4756 - 2842 = -29*t. Let p = t + -785/3. Factor 1/3*f + p*f**3 + 0 + 2/3*f**2.
f*(f + 1)**2/3
Factor 1/2 - 27/4*c**2 - 25/4*c.
-(c + 1)*(27*c - 2)/4
Let c = -131 - -131. Let j(z) be the third derivative of 0 + 1/6*z**4 - 1/15*z**5 + z**2 + 0*z**3 + c*z + 1/120*z**6. Factor j(w).
w*(w - 2)**2
Suppose -19*g = -1620 + 1563. Factor 0 + 0*t**2 - 2/7*t + 2/7*t**g.
2*t*(t - 1)*(t + 1)/7
Determine s so that -106*s**3 - 114*s**3 + 135 - 165*s + 225*s**3 + 25*s**2 = 0.
-9, 1, 3
Let t(m) be the third derivative of -m**7/3780 - m**6/810 + 7*m**5/540 - m**4/27 - 17*m**3/3 - 22*m**2. Let z(q) be the first derivative of t(q). Factor z(v).
-2*(v - 1)**2*(v + 4)/9
Factor -41*m**2 + 3*m**4 + 108*m - 35*m**2 + 25*m**2 + 3*m**5 - 51*m**3 - 12*m**2.
3*m*(m - 4)*(m - 1)*(m + 3)**2
Determine l, given that -3/7*l**2 - 31827/7 + 618/7*l = 0.
103
Factor 64/11 + 36/11*t + 2/11*t**2.
2*(t + 2)*(t + 16)/11
Let c be (-20 - (-4 - -4)) + -1. Let t be (156/c)/(4/(-14)). Factor -t*n**3 + 12*n**2 + 18*n + 28*n**3 + 0 + 0.
2*n*(n + 3)**2
Let t(l) be the first derivative of 10 + 3/2*l**2 - 2*l + 1/5*l**5 + 1/3*l**3 - 3/4*l**4. Factor t(q).
(q - 2)*(q - 1)**2*(q + 1)
Suppose -89*l**2 + 177/2*l + 1/2*l**5 - 15/2*l**4 - 63/2 + 39*l**3 = 0. What is l?
1, 3, 7
Find s, given that 1/3*s**2 + 2/3 + s = 0.
-2, -1
Let c(d) be the first derivative of 5*d**6 + 52*d**5/5 - 4*d**4 - 20*d**3 - 7*d**2 + 8*d + 461. Determine p, given that c(p) = 0.
-1, 4/15, 1
Suppose -29*t - 4*d + 8 = -25*t, 0 = -t + d + 4. Let m(n) be the third derivative of t*n**2 + 0 + 0*n + 1/180*n**5 + 1/18*n**3 - 1/36*n**4. Factor m(i).
(i - 1)**2/3
Suppose -3*c + m + 200 = 0, 4*m - 356 = -2*c - 3*c. Suppose 3*p = 20*p - c. Determine f so that 2/7*f**p + 0 - 6/7*f**3 + 2/7*f**5 - 2/7*f**2 + 4/7*f = 0.
-2, -1, 0, 1
Let r(c) be the second derivative of -1/21*c**3 + 1/70*c**5 + 14*c + 0*c**2 + 1/42*c**6 - 5/84*c**4 + 0. Solve r(j) = 0.
-1, -2/5, 0, 1
Let d(w) be the second derivative of -w**7/14 + 4*w**6/5 - 69*w**5/20 + 7*w**4 - 6*w**3 + 376*w. Determine j, given that d(j) = 0.
0, 1, 2, 3
Determine h, given that 3*h**3 + 6*h**2 + 5*h**2 - h**3 - 4*h**4 - 2*h**2 - 4 - h**5 - h**2 - h = 0.
-4, -1, 1
Let k(g) = -13*g**2 + 181*g + 17. Let x be k(14). Let q(v) be the second derivative of -3/2*v**3 + 3*v + 0 - 1/4*v**4 - x*v**2. Factor q(j).
-3*(j + 1)*(j + 2)
Factor l**2 + 3 - 17*l - 11*l + 24*l.
(l - 3)*(l - 1)
Let x be (-16)/12*27/(-12). Let -18*n**x + 30 + 11*n**3 - 35*n + 12*n**3 = 0. What is n?
-3, 1, 2
Suppose -3*p - 2*p + 5*r = 95, 5*p + 65 = -5*r. Let x = 23 + p. What is y in -39*