9680*m**3/3 - 35912*m**2 - 828. Factor f(c).
-4*c*(c - 2)**2*(c + 67)**2
Let f be 3/90 - (6 + (-19 - -13)). Let v(m) be the first derivative of -1/10*m**2 + 0*m - f*m**3 + 6. Solve v(a) = 0 for a.
-2, 0
Determine s, given that -735*s - 5*s**2 + 1001 - 196 + 121 - 284 + 848 = 0.
-149, 2
Let y(i) = -346*i**2 - 1386*i - 3. Let k be y(-4). Factor -147/8*x**k - 1515/2*x**3 - 96 + 600*x - 690*x**2 - 210*x**4.
-3*(x + 4)**3*(7*x - 2)**2/8
Solve -333/2*s - 3/2*s**4 - 3/2*s**3 + 123/2*s**2 + 108 = 0.
-8, 1, 3
Let g(s) be the second derivative of 1/63*s**7 - 13/180*s**6 + 0*s**2 + 13 + 2*s + 1/36*s**3 - 7/72*s**4 + 1/8*s**5. Factor g(y).
y*(y - 1)**3*(4*y - 1)/6
Let p(b) be the first derivative of -2*b**5/5 - 4*b**4 - 4*b**3/3 + 80*b**2 + 150*b - 617. Solve p(a) = 0 for a.
-5, -1, 3
Let l(y) = 3*y**3 + 33*y**2 - 80*y - 1186. Let b be l(-9). Suppose -6*t**2 + 5*t**3 - b*t + 32 - 1/2*t**4 = 0. What is t?
-2, 2, 8
Let n be (540/(-450))/(2/520). Let g be (-183)/n - (-138)/(-299). Factor 3/4*t**3 + 0 - 1/2*t**2 + g*t**5 + 1/8*t - 1/2*t**4.
t*(t - 1)**4/8
Factor 2*k**2 - 11954 - 55*k + 11302 - 267*k.
2*(k - 163)*(k + 2)
Let a = -316 + 302. Let n be a/945*21*-5. Solve -n*y**2 - 10/9*y + 4/9 = 0.
-1, 2/7
Suppose -2*m - 3/2*m**2 + 3/2*m**4 + 1/4*m**5 + 7/4*m**3 + 0 = 0. What is m?
-4, -2, -1, 0, 1
Determine t, given that 517*t - 5*t**2 + 2623 - 1567 - 3036 + 483*t = 0.
2, 198
Let u = 35 + -77. Let b = -26 - u. Factor -4 + 12*p**4 - 5*p**4 + p**4 + 16*p**3 - 8*p**2 + 4*p**4 - b*p.
4*(p - 1)*(p + 1)**2*(3*p + 1)
Let o(q) be the first derivative of -q**5 + 2*q**4 - 2*q**3/3 + 114*q + 97. Let n(a) be the first derivative of o(a). Let n(f) = 0. What is f?
0, 1/5, 1
Let q = 2511/4210 - -3/842. Let y = 53/5 - 10. Suppose -y*b + 3/5*b**3 + 0 - q*b**2 + 3/5*b**4 = 0. Calculate b.
-1, 0, 1
Let m(d) = 10*d**4 + 6*d**3 - 3*d**2 + 8*d. Let n(o) = 3*o**4 + 2*o**3 - o**2 + 2*o. Let u(p) = 6*m(p) - 21*n(p). Find c such that u(c) = 0.
-2, -1, 0, 1
Factor -2*w + 10/7*w**4 + 12/7*w**3 - 6/7 + 2/7*w**5 - 4/7*w**2.
2*(w - 1)*(w + 1)**3*(w + 3)/7
Suppose 545570*k**3 + 76*k + 79*k**2 - 3*k**2 - 545566*k**3 - 1238 + 218 = 0. What is k?
-17, -5, 3
Let w be (-48)/240 - 1/((-8190)/7108). Let m = w + -1/819. Let 4/9*n**2 - m + 8/9*n + 2/9*n**4 - 8/9*n**3 = 0. Calculate n.
-1, 1, 3
Let k = -62971/2 + 31486. Solve -1/4*y**2 + k + 1/4*y = 0.
-1, 2
Let i(t) be the third derivative of -1/78*t**5 + 0*t - 102*t**2 + 103/156*t**4 + 14/13*t**3 + 0. Suppose i(v) = 0. Calculate v.
-2/5, 21
Suppose 10*o - 10 = 9*o. Let -o*l - 11*l + 8*l - 21*l - 4 - 16*l**2 = 0. Calculate l.
-2, -1/8
Let g = 645 - 644. Let a be 2*(g + 0)*(-25)/(-100). Determine p so that -1/4*p**5 + 0*p + 1/4*p**3 + 0 - a*p**2 + 1/2*p**4 = 0.
-1, 0, 1, 2
Let v(m) be the second derivative of m**4/24 + 10*m**3/3 - 225*m**2/4 - 6396*m. Factor v(k).
(k - 5)*(k + 45)/2
Let r = -282/13 - -1141/52. Let a(x) be the first derivative of -4 + r*x**3 - 1/8*x**4 + x**2 - 1/20*x**5 + x. Suppose a(y) = 0. What is y?
-2, -1, 2
Let y(u) be the third derivative of -u**7/840 + 19*u**6/240 - 47*u**5/80 + 43*u**4/24 - 17*u**3/6 - u**2 + 6*u + 214. Factor y(b).
-(b - 34)*(b - 2)*(b - 1)**2/4
Let y(t) = t - 1. Let d(i) = -i**2 - 24*i + 1. Let f(h) = -d(h) - 2*y(h). Let p(b) = -1 - 1 - 3*b + 2. Let k(x) = 3*f(x) + 24*p(x). Solve k(a) = 0 for a.
1
Let z(t) be the third derivative of -t**5/40 + 219*t**4/16 - 47961*t**3/16 - 2*t**2 - t + 295. Factor z(v).
-3*(2*v - 219)**2/8
Let q(v) = 5*v**3 - 34*v**2 - 23*v + 64. Let r(k) = 72*k**3 - 477*k**2 - 318*k + 894. Let m(t) = 57*q(t) - 4*r(t). Determine c, given that m(c) = 0.
-8, -3, 1
Determine p so that -292 - 145*p + 1/2*p**2 = 0.
-2, 292
Let a be (3*4/(-6))/(-1 + 0). Factor 7*s**2 + s**3 + 17*s**3 + s - 27*s**4 - 9*s + 5*s**a.
-s*(3*s - 2)**2*(3*s + 2)
Let i(k) = -k**2 - 3*k + 2. Let v be i(-2). Factor -5*d**v + 32*d + 25*d**2 - 14*d - 3*d + 5*d**3.
-5*d*(d - 3)*(d + 1)**2
Let x = -267 + 254. Let k be -3 + (x + 11)/(2/(-6)). Factor 1/2*f + 0*f**2 - 1/4 + 1/4*f**4 - 1/2*f**k.
(f - 1)**3*(f + 1)/4
Let q be (-112)/(-192)*20/14. Let h(u) be the second derivative of 0*u**2 - 5/12*u**4 + q*u**3 + u + 0. Determine w, given that h(w) = 0.
0, 1
Let r = -627055 - -4400293/7. Let d = -1554 + r. Factor 6*q - d*q**2 - 12/7.
-6*(q - 1)*(5*q - 2)/7
Let m be 0/(-2*(15 + -11)). Let o(q) be the third derivative of 0*q + 0*q**4 - 1/6*q**3 + m + 6*q**2 - 1/480*q**6 + 1/80*q**5. Factor o(s).
-(s - 2)**2*(s + 1)/4
Let -348*q**4 + 347*q**4 - q**3 - 244*q + 112*q**2 + 236 - 10*q**3 - 92 = 0. Calculate q.
-18, 1, 2, 4
Let d(t) = -2*t**2 + 0*t**2 + 2 - 5*t - t**2. Let a(y) = -y**2 - 1. Let b be 2*6*(-105)/(-1260). Let m(n) = b*d(n) + 2*a(n). Factor m(x).
-5*x*(x + 1)
What is r in 1156*r**2 - 39393*r + 404*r**3 - 39383*r + 16*r**4 + 79040*r = 0?
-22, -3, -1/4, 0
Suppose 40*x - 27*x = -637. Let i = -49 - x. Factor i*j**3 - 3/2 + 0*j - 3/2*j**4 + 3*j**2.
-3*(j - 1)**2*(j + 1)**2/2
Factor 200928078*r**2 + 6524209*r**3 + 2905569*r**3 + 3362*r**5 + 393682*r**4 + 19493136*r + 5949412*r**3 + 474552.
2*(r + 39)**3*(41*r + 2)**2
Let f**2 + f**3 - 23229*f - 8*f**2 - 48 + 23173*f = 0. What is f?
-4, -1, 12
Determine d so that 144*d + 4/3*d**3 + 288 + 24*d**2 = 0.
-6
Let f be -2*2*(4482/(-81) + 55). Factor f + 0*k - 1/3*k**2.
-(k - 2)*(k + 2)/3
Let v(q) = 21*q**3 - 4*q**2 - 2*q + 2. Let i be v(4). Let o = i + -1270. Let 0*b**2 - 1/2*b**5 + 1/4*b**3 - 1/4*b**o + 0*b + 0 = 0. What is b?
-1, 0, 1/2
Let t be 964*1 + 10*24/(-120). Let b = t - 960. Factor -14/9*y + 16/9 - 2/9*y**b.
-2*(y - 1)*(y + 8)/9
Let m(r) = 3*r**3 + 617*r**2 - 216*r - 2058. Let c be m(-206). Solve -64/3 + 24*q - 1/6*q**5 + c*q**4 - 8/3*q**2 - 16/3*q**3 = 0 for q.
-2, 2, 8
Let f(v) be the second derivative of -v**4/60 + v**3/3 + 1363*v. Factor f(c).
-c*(c - 10)/5
Let j be (-21 + (-517)/(-22))/(10/16). Let x(y) be the first derivative of 4/27*y**3 + 20 + 0*y - 1/45*y**5 + 0*y**2 - 1/12*y**j. Solve x(o) = 0 for o.
-4, 0, 1
Suppose 54*i = 52*i + 3*l - 27, 3*l - 27 = 3*i. Factor 0 + 1/3*n**3 + i*n - 1/3*n**4 + 2*n**2.
-n**2*(n - 3)*(n + 2)/3
Let z(r) = -r**3 - 4*r**2 - r - 1. Let u be z(-4). Suppose -2*c = -5*w - 6*c + 220, -u*c = 0. Determine b, given that 23*b**2 - w*b**2 + 20*b**2 + b**4 = 0.
-1, 0, 1
Let c(u) be the third derivative of -u**6/200 + 17*u**5/100 + u**4/10 - 34*u**3/5 + 7*u**2 + 8. Find s, given that c(s) = 0.
-2, 2, 17
Suppose -7 = -23*n - 30. Let h(v) = 2*v**4 + 52*v**3. Let o(w) = -w**4 + w**3. Let r(m) = n*o(m) + h(m). Factor r(g).
3*g**3*(g + 17)
Let c(f) be the second derivative of 2/3*f**3 + f**4 + 0*f**2 + 13/20*f**5 + 1/5*f**6 + 1/42*f**7 + 81*f + 0. Factor c(l).
l*(l + 1)**2*(l + 2)**2
Let p be ((-137)/(-18))/(14/(-21)). Let j = p - -51/4. What is f in 4/3*f**2 + 0*f + 4/3*f**3 - j*f**5 + 0 - 4/3*f**4 = 0?
-1, 0, 1
Let g(i) = 121*i**2 + 18*i - 403. Let q(b) = 444*b**2 + 71*b - 1613. Let z(s) = 22*g(s) - 6*q(s). Factor z(m).
-2*(m - 14)*(m + 29)
Suppose w + 2 = 5*v, -5*w - 1331 = -2*v - 1344. Determine y so that 4/7*y**w + 0*y**2 - 2/7 - 4/7*y + 2/7*y**4 = 0.
-1, 1
Let o(g) be the first derivative of 147 + 0*g - 18/5*g**2 - 6/5*g**3 - 1/10*g**4. Solve o(q) = 0.
-6, -3, 0
Let g(m) be the second derivative of -m**7/1260 - m**6/9 - 5*m**5 + 67*m**3/6 + 7*m + 3. Let i(t) be the second derivative of g(t). Factor i(q).
-2*q*(q + 30)**2/3
Let q be 20 + 2160/(-63) + 16. Factor 12/7*g - 3/7*g**3 + 30/7*g**2 - 3/7*g**5 - 24/7 - q*g**4.
-3*(g - 1)**2*(g + 2)**3/7
Let q(u) be the first derivative of 1/6*u**3 + 25/4*u - 51/8*u**2 + 78. Factor q(r).
(r - 25)*(2*r - 1)/4
Let f(a) be the third derivative of 0 + 0*a + 8/3*a**4 - 30*a**2 - 11/30*a**6 - 8/3*a**3 + 2/21*a**7 + 1/28*a**8 - 3/5*a**5. Find c such that f(c) = 0.
-2, 1/3, 1
Find n such that 482*n**2 + 2/5*n**5 + 638*n**3 + 158/5*n**4 - 12792/5*n - 12168/5 = 0.
-39, -2, -1, 2
Suppose 44*m - 35*m - 18 = 0. Solve -25*z + 9*z + m*z**2 - 42*z - 4*z**2 + 54 + 6*z = 0 for z.
-27, 1
Suppose 12*n**2 + 40 - 16*n + 18*n**2 + 19*n**2 - 68*n**2 + 17*n**2 = 0. Calculate n.
-10, 2
Suppose 82 = 28*v + 26. Factor 249*n - 264*n + 1 + 3*n**v - 35 - 2*n**2.
(n - 17)*(n + 2)
Determine x so that 1616/3 + 2/3*x**3 + 132*x**2 - 536*x = 0.
-202, 2
Let o = 5462 + -5462. Let t(a) be the second derivative of 33*a + o - 23/21*a**3 - 8/7*a**2 + 