2 = 0?
-1, 0, 1
Let m = 100 - 96. Factor 10*p**5 - 17*p**4 + 96*p - 7*p**4 - p**5 + 102*p**3 - 176*p**2 - 3*p**5 - m*p**5.
2*p*(p - 4)**2*(p - 3)*(p - 1)
Determine q so that -66*q**2 + 324*q**2 + 9729 - 801*q - 19446 + 3*q**3 + 9717 = 0.
-89, 0, 3
Factor k**2 + 61*k - 49 - 2*k**2 - 22 + 11.
-(k - 60)*(k - 1)
Let u be (66 + 6)/6 - 9. Let c(w) be the third derivative of -1/240*w**6 + 0 + 0*w**u - 1/96*w**4 + 0*w + 3*w**2 + 1/80*w**5. Determine d, given that c(d) = 0.
0, 1/2, 1
Factor 0 + 3*i**4 + 1/2*i**5 - 12*i**2 + 0*i - 19/2*i**3.
i**2*(i - 3)*(i + 1)*(i + 8)/2
Let j(i) = -i**4 - 17*i**3 + 56*i**2 - 32*i - 4. Let r(z) = -3*z**4 - 33*z**3 + 114*z**2 - 63*z - 9. Let p(x) = -9*j(x) + 4*r(x). Solve p(m) = 0.
0, 2, 3
Let q(a) = -2*a**2 - 13*a + 26. Let g be q(-8). Let -5 - 16*m - 976*m**g + 971*m**2 + 6*m = 0. Calculate m.
-1
Suppose -4*g = 28, -46*d = -47*d - g - 2. Let j(u) be the third derivative of 0 + 1/210*u**6 + 50/7*u**4 + 2000/21*u**3 - 21*u**2 + 0*u + 2/7*u**d. Factor j(a).
4*(a + 10)**3/7
Factor -1/6*c**3 + 349/2*c**2 + 42508549/6 - 121801/2*c.
-(c - 349)**3/6
Factor 6*k - 78*k**3 - 11*k**4 - 149*k + 105 - 106*k - 58*k + k**5 + 290*k**2.
(k - 15)*(k - 1)**3*(k + 7)
Factor 1/4*d**2 + 793881/4 - 891/2*d.
(d - 891)**2/4
Let p(h) be the third derivative of -h**7/4 + 87*h**6/40 - 55*h**5/8 + 33*h**4/4 + h**3 - 870*h**2. Determine f, given that p(f) = 0.
-1/35, 1, 2
Let f(n) be the third derivative of 3/80*n**6 + 1/1344*n**8 + 0*n + 0 - 1/8*n**3 - 11/120*n**5 - 1/120*n**7 + 107*n**2 + 13/96*n**4. Solve f(y) = 0.
1, 3
Let v be 88/33 + -3 + 28/12. Let t(o) be the first derivative of -v + 2/5*o**3 + 2/5*o**2 + 1/10*o**4 + 0*o. Factor t(n).
2*n*(n + 1)*(n + 2)/5
Let o = -263 + 266. Factor 5*t**2 - 7*t**2 + 8*t**2 + 0*t - 3*t**5 - 15*t**o + 0*t + 12*t**4.
-3*t**2*(t - 2)*(t - 1)**2
Let z(l) be the first derivative of -63/10*l**2 - 54/5*l - 3/20*l**4 + 43 - 8/5*l**3. Solve z(f) = 0.
-3, -2
Let j(t) = -3*t**5 - 44*t**4 - 160*t**3 - 162*t**2 - 4. Let r(u) = -14*u**5 - 217*u**4 - 800*u**3 - 811*u**2 - 22. Let k(m) = -11*j(m) + 2*r(m). Factor k(x).
5*x**2*(x + 2)*(x + 4)**2
Let z(s) be the first derivative of s**6/270 + 59*s**5/90 + s**3 + 12*s - 170. Let r(k) be the third derivative of z(k). Factor r(u).
4*u*(u + 59)/3
Let t = -1163 + 540. Let x = t + 635. Solve 2/3*p**4 - x*p**3 + 12*p + 160/3*p**2 - 54 = 0 for p.
-1, 1, 9
Determine s, given that -25/9*s - 701/9*s**3 - 250/9*s**4 + 0 - 260/9*s**2 - 8/3*s**5 = 0.
-5, -1/4, -1/6, 0
Let k = 229 - 223. Determine s so that -2 + 22*s**3 - 140*s**4 + 136*s**4 - 12*s**2 - k*s**3 + 2 = 0.
0, 1, 3
Factor 25*m**2 - 203 + 336*m - 3*m**2 - 20*m**2 + 537.
2*(m + 1)*(m + 167)
Factor -2/7*p**2 - 2584/7 + 1296/7*p.
-2*(p - 646)*(p - 2)/7
Let c(m) be the second derivative of -2*m**7/189 - 13*m**6/135 - m**5/10 + 20*m**4/27 - 16*m**3/27 + 625*m. Determine y, given that c(y) = 0.
-4, 0, 1/2, 1
Determine b, given that -2/3*b**2 + 104 - 70/3*b = 0.
-39, 4
Solve -2*l**3 + 80/3*l + 226/3*l**2 - 152/3 = 0 for l.
-1, 2/3, 38
Let r(k) be the first derivative of -3*k**4/4 - 161*k**3 + 990*k**2 - 3803. Find s such that r(s) = 0.
-165, 0, 4
Let b = -39 + 41. Factor 53 - 115 + g**3 - g + 64 - b*g**2 + 0*g.
(g - 2)*(g - 1)*(g + 1)
Factor 35/9 + 1/9*s**2 + 4/3*s.
(s + 5)*(s + 7)/9
Suppose t - 4*t = -6. Factor 20*w**3 + 20*w - 43*w**4 + 32*w**t + 47*w**4 - 4*w.
4*w*(w + 1)*(w + 2)**2
Let a(f) be the first derivative of 5*f**4/24 + 485*f**3/9 - 1955*f**2/12 + 490*f/3 - 889. Factor a(n).
5*(n - 1)**2*(n + 196)/6
Suppose -163 = l - 162. Let s be 4 + l/(56/184). Factor 1/7*q**2 + 6/7 + s*q.
(q + 2)*(q + 3)/7
Suppose -8 = 18*n - 242. Let s(g) = 16*g - 203. Let f be s(n). Solve 0*b**3 - 1/2*b**4 + 0 + 0*b**2 - 1/2*b**f + 0*b = 0 for b.
-1, 0
Let r(f) = 9*f**2 + 20*f - 29. Let w(v) be the first derivative of -405*v - 11 + 125/3*v**3 + 140*v**2. Let u(j) = -55*r(j) + 4*w(j). Solve u(z) = 0.
-5, 1
Let u(r) be the second derivative of r**7/210 - r**6/30 - 23*r**5/100 - 11*r**4/60 + 11*r**3/15 + 8*r**2/5 + 2*r - 670. Determine n so that u(n) = 0.
-2, -1, 1, 8
Let v = 48341 + -48341. Factor 2/3*l**5 + 16/3*l**2 - 2*l - 4*l**3 + v*l**4 + 0.
2*l*(l - 1)**3*(l + 3)/3
Let b = -16280 - -81406/5. Let h(y) be the first derivative of 3/2*y**2 + 4/5*y**3 + 3/20*y**4 + 11 + b*y. Solve h(n) = 0 for n.
-2, -1
Suppose 0 = 393*b + 3663*b - 16224. Factor -48*p**2 + 0 - 6*p**b + 64/3*p + 1/3*p**5 + 97/3*p**3.
p*(p - 8)**2*(p - 1)**2/3
Let y(o) be the first derivative of o**5 + 35*o**4 + 1390*o**3/3 + 2870*o**2 + 8085*o + 3014. Let y(l) = 0. What is l?
-11, -7, -3
Let y = 3/4226 + 3168/2113. Let c(s) be the second derivative of 7/4*s**4 + 0*s**2 - y*s**3 + 1/10*s**6 - 10*s + 0 - 3/4*s**5. Find w such that c(w) = 0.
0, 1, 3
Let s(f) be the second derivative of -f**4/3 - 224*f**3/3 + 3*f + 73. Determine w, given that s(w) = 0.
-112, 0
Let y(a) be the third derivative of -a**5/600 + 521*a**4/30 - 1085764*a**3/15 - 8404*a**2. Factor y(m).
-(m - 2084)**2/10
Let s(p) = -13*p + 64. Let x be s(-11). Factor -205*z**4 + 400*z**4 - 10*z**3 + 2*z**3 - 4*z**5 - x*z**4.
-4*z**3*(z + 1)*(z + 2)
Let h(d) be the third derivative of -10/21*d**3 + 0*d - 1/420*d**6 - 1/28*d**4 + 0 + 1/35*d**5 - 30*d**2. Solve h(m) = 0.
-1, 2, 5
Let q(n) be the third derivative of n**6/540 + 173*n**5/270 - 1805*n**4/108 + 1525*n**3/9 + n**2 - 1708*n + 1. Factor q(d).
2*(d - 5)**2*(d + 183)/9
Suppose -4 = 4*o + 2*b + 16, 4*b = 5*o + 51. Let z be ((-115)/(-20) + o)/((-2)/8). Factor 12/5*t**3 - 2/5*t**z - 2/5*t**4 + 28/5*t**2 + 22/5*t + 6/5.
-2*(t - 3)*(t + 1)**4/5
Let o(c) = -2*c**2 + 735*c + 4484. Let n be o(-6). Let m(f) be the first derivative of -2*f**n - 19 - 3*f - 1/3*f**3. Determine k so that m(k) = 0.
-3, -1
Let g(q) = 60*q + 1502. Let n be g(-25). Let c(j) be the second derivative of 0*j**n + 0*j**3 + 30*j - 1/8*j**4 + 0. Suppose c(z) = 0. What is z?
0
Let t = 154 + 288. Determine j so that -t*j**4 - 74*j**3 - 140*j + 32 + 452*j**4 - 44*j + 188*j**2 + 16 = 0.
2/5, 2, 3
Let x(u) be the first derivative of 2*u**5/5 + 89*u**4/2 + 350*u**3/3 + 87*u**2 - 10030. Suppose x(h) = 0. What is h?
-87, -1, 0
Determine r, given that r**2 - 1/7*r**3 + 65/7 + 73/7*r = 0.
-5, -1, 13
Let s = 1498184/3 - 499390. Solve -2/3*q**2 + s*q + 0 = 0.
0, 7
Let b = 13560 - 13560. What is s in -2/13*s**2 - 4/13*s + b = 0?
-2, 0
Let u = 219 - 215. Factor 66 + 15*d**3 - 3*d**u - 23*d**2 + 69*d - 31 - 11 + 86*d**2.
-3*(d - 8)*(d + 1)**3
Let c(t) be the first derivative of 0*t + 13/4*t**4 + 2*t**2 + 40 + 1/9*t**6 - t**5 - 40/9*t**3. Find r such that c(r) = 0.
0, 1/2, 2, 3
Suppose 4*v - 3*r - 84 = -2*r, 8 = -2*r. Factor -3*x**2 - 35*x - v*x + 110*x + 71*x.
-3*x*(x - 42)
Let y be 4 - (2 + 1) - -9. Suppose -7*v + 4*v + 6 = 0. Factor a**2 - y*a - 13 + 5 - 2*a**v - a**2.
-2*(a + 1)*(a + 4)
Suppose 5*i = 23*i - 108. Factor 197*w**4 + i*w**3 - 5*w - 200*w**4 - 13*w + 15*w**2.
-3*w*(w - 3)*(w - 1)*(w + 2)
Let o = 500 + -365. Let h be (o/18)/(4 - 1). Determine f so that h*f**2 + 1 - 7/2*f**4 - 9/2*f + 9/2*f**3 = 0.
-1, 2/7, 1
Solve 0 - 2/13*m**3 + 92/13*m**2 + 294/13*m = 0.
-3, 0, 49
Suppose 233 = -3*i - 4*y, -6*i + 4*i = y + 157. Let b = -79 - i. Let b + 12*c - 6*c**2 + 15*c**2 + 4 + 0 = 0. What is c?
-2/3
Suppose -5*j + 29 = 3*p, -2*p + 51*j + 62 = 65*j. Factor 1/2 + 1/2*a**4 + p*a**2 - 2*a**3 - 2*a.
(a - 1)**4/2
Let p(m) be the third derivative of 0 + 10*m**3 - 105*m**2 + 0*m - 1/20*m**5 - 1/8*m**4. Factor p(a).
-3*(a - 4)*(a + 5)
Let p(z) = 73*z - 3. Let r be p(1). Let k = r - 58. Factor 5*w + w**2 - 26 - w**3 + 17 + k.
-(w - 3)*(w + 1)**2
Let i(f) be the first derivative of f**4/4 - 7*f**2/2 + 6*f - 18. Factor i(x).
(x - 2)*(x - 1)*(x + 3)
Let w(m) be the first derivative of m**6/18 + 11*m**5/15 + 31*m**4/12 + 7*m**3/3 + 4339. Factor w(n).
n**2*(n + 1)*(n + 3)*(n + 7)/3
Let l(d) = -60*d**3 - 275*d**2 - 1505*d - 2200. Let k(g) = -49*g**3 - 275*g**2 - 1507*g - 2201. Let s(f) = 5*k(f) - 4*l(f). Let s(r) = 0. What is r?
-49, -3
Let w be (-80 - 112)/(-12) - (2 - -11). Factor -5/6*y**2 - 2/3*y**w - 1/6*y**4 - 1/3*y + 0.
-y*(y + 1)**2*(y + 2)/6
Let v be (-7 - (4 + -41))*24/9. Let w be 2/6*120/v. Factor -2*y + w*y**2 + 2.
(y - 2)**2/2
Let c = 436 + -430. Let m(l) be the third derivative of 1/24*l**c - 5/24*l**4 + 0 + 0*l - 4*l**2 + 