2*m**2*(m - 44)*(m + 18)/5
Let b(h) be the third derivative of -2*h**7/105 - 3*h**6/10 - 8*h**5/15 - 3522*h**2. Determine p, given that b(p) = 0.
-8, -1, 0
Let q(y) = 35*y**4 + 600*y**3 + 15395*y**2 - 159180*y + 143360. Let s(c) = -c**4 - 6*c. Let l(p) = q(p) + 30*s(p). Factor l(x).
5*(x - 7)*(x - 1)*(x + 64)**2
Solve 125*l**5 - 126*l**5 - 94*l + 339*l**4 + 0*l**3 - 339*l**2 + l**3 + 94*l = 0.
-1, 0, 1, 339
Factor 1006 + 552*p**2 + 7694*p**3 - 7685*p**3 + 18 - 1520*p.
(p + 64)*(3*p - 4)**2
Let k(l) be the first derivative of -2*l**5/5 + 15*l**4/2 + 34*l**3/3 - 15*l**2 - 32*l + 2292. Factor k(n).
-2*(n - 16)*(n - 1)*(n + 1)**2
Factor -31/2*j - 1/4*j**2 - 58.
-(j + 4)*(j + 58)/4
Let 0 - 2/7*c**4 + 0*c**2 + 52/7*c**3 + 0*c = 0. What is c?
0, 26
Let u(w) be the first derivative of 136/15*w**3 - 33/5*w**4 + 0*w - 66/25*w**5 + 24/5*w**2 + 7/15*w**6 - 86. Determine k so that u(k) = 0.
-2, -2/7, 0, 1, 6
Let h(t) = -17*t**4 - 6*t**3 + 54*t**2 + 89*t - 319. Let w(o) = 20*o**4 + 6*o**3 - 54*o**2 - 96*o + 318. Let b(l) = 6*h(l) + 5*w(l). Let b(v) = 0. Calculate v.
-6, -3, 3
Let s(u) = -23*u**2 + 784*u - 68. Let v be s(34). Let k(a) be the first derivative of 1 - 3/4*a**4 + 0*a**2 + v*a - a**3. Determine o so that k(o) = 0.
-1, 0
Let l be 16/(-14) + (-1408)/(-448). Let u(h) be the first derivative of 0*h + 1/7*h**3 + 1/7*h**l - 10 - 1/28*h**4 - 3/35*h**5 - 1/42*h**6. Solve u(a) = 0.
-2, -1, 0, 1
Let g(f) be the third derivative of 0*f + 1013060/3*f**3 + 88*f**2 - 6845/2*f**4 + 37/2*f**5 - 1/24*f**6 + 0. Factor g(z).
-5*(z - 74)**3
Let n(w) = 25*w**3 + 6880*w**2 + 1183355*w + 20. Let g(p) = 36*p**3 + 10320*p**2 + 1775033*p + 28. Let j(q) = -5*g(q) + 7*n(q). Factor j(k).
-5*k*(k + 344)**2
Let k(a) be the first derivative of -a**5/30 - 19*a**4/6 - 481*a**3/6 + 19*a**2/3 + 722*a/3 - 827. Suppose k(c) = 0. Calculate c.
-38, -1, 1
Let g(r) = -r**2 - 3*r + 28. Let s be g(-7). Let w be 6 - (s + 408/78). Let -2/13*u**4 - 4/13 + 14/13*u - 18/13*u**2 + w*u**3 = 0. Calculate u.
1, 2
Let v(a) = -17*a + 23. Let i be v(-18). Let h = i - 1634/5. Suppose -7/5*k**2 - 1 - 1/5*k**3 - h*k = 0. Calculate k.
-5, -1
Suppose -921*c + 935*c + 546 = 0. Let b be (-132)/198*c/5. Determine l so that -3/5*l**2 - 16/5 + b*l = 0.
2/3, 8
Let a = 386 - 392. Let i be a/(-10) - 261/435. What is o in -3/2*o**4 - 3/2*o**3 + 0*o - 1/2*o**5 + i - 1/2*o**2 = 0?
-1, 0
Let r(d) = d**3 + 6*d**2 + 2*d - 10. Let p be r(-5). Let k be 1 + 10/p + 5. Factor 35*w**3 - 39*w**3 - 2*w + 2*w**4 + 4*w**2 + 8*w - k*w**4 + 2 - 2*w**5.
-2*(w - 1)*(w + 1)**4
Let p(l) be the first derivative of -l**4/26 - 56*l**3/13 - 165*l**2/13 - 164*l/13 - 2135. Determine k so that p(k) = 0.
-82, -1
Find x such that -2/11*x**2 - 32/11*x + 0 = 0.
-16, 0
Let i(f) be the third derivative of f**8/252 + 2*f**7/105 - f**6/9 - 7*f**2 + 50. Factor i(g).
4*g**3*(g - 2)*(g + 5)/3
Let a(y) = 25*y**2 + 45*y + 188. Let s(m) = 58*m**2 + 90*m + 372. Let j(z) = -7*a(z) + 3*s(z). Find i, given that j(i) = 0.
-40, -5
Let r = -4587 + 77957/17. Let f = r - -188/119. Let -2/7*i**3 + 0 - f*i + 4/7*i**2 = 0. What is i?
0, 1
Let g(w) be the second derivative of -31/6*w**2 + 9 - 1/60*w**5 + 2*w - 7/2*w**3 - 11/12*w**4. Let g(q) = 0. What is q?
-31, -1
Let m(g) be the third derivative of -5*g**8/336 - g**7/42 + 17*g**6/24 + 7*g**5/4 - 15*g**4/2 + 3975*g**2. Let m(a) = 0. Calculate a.
-3, 0, 1, 4
Suppose -16 = 31*f - 35*f, 4*f = -2*c + 28. Factor -8 - c*v + 39*v - v**2 - 42*v.
-(v + 1)*(v + 8)
Suppose -2*n - 3*n = 4*u - 36, -5*u + 5*n = 0. Solve -76*w**u + 939*w**2 + 2*w**5 - 1187*w**2 + 324 + 2*w**5 - 396*w + 392*w**3 = 0.
-1, 1, 9
Determine s so that 4/9*s**3 + 32/9*s - 80/9 + 44/9*s**2 = 0.
-10, -2, 1
Let p = 268552/98097 - 4/5163. Find q, given that -p*q + 50/19 + 2/19*q**2 = 0.
1, 25
Let s(b) = 5*b**3 - 3335*b**2 - 6735*b - 3365. Let u(f) = 7*f**3 - 3327*f**2 - 6735*f - 3365. Let t(g) = -6*s(g) + 5*u(g). Factor t(m).
5*(m + 1)**2*(m + 673)
Let o = -4/143869 - -287758/719345. Determine p, given that 0 + o*p**2 - 4/5*p = 0.
0, 2
Let m(j) be the third derivative of 0*j - 12/7*j**3 - 3 + 6*j**2 - 1/140*j**5 + 5/28*j**4. Factor m(x).
-3*(x - 6)*(x - 4)/7
Let q be ((-219)/(-228))/(4 - 2) - (-4)/(-38). Factor 3/4 - 3/8*n**2 + q*n.
-3*(n - 2)*(n + 1)/8
Let b = 43816 - 43801. Let b*t**4 - 21/4*t**3 - 33/4*t**5 - 3/2*t**2 + 0 + 0*t = 0. What is t?
-2/11, 0, 1
Let t(j) = j**3 - 9*j**2 - 8*j - 15. Let a be t(10). Factor -9 + 20*w**2 - 3 + a*w - 5*w**3 - 13 + 5.
-5*(w - 4)*(w - 1)*(w + 1)
Let x(y) be the first derivative of -3*y**5/10 + 3*y**4/8 + 5*y**3/2 + 9*y**2/4 + 6547. Let x(c) = 0. What is c?
-1, 0, 3
Let g(w) be the third derivative of w**8/60 + w**7/21 + w**6/30 + 26*w**3 + w**2 - 48. Let f(o) be the first derivative of g(o). Let f(l) = 0. Calculate l.
-1, -3/7, 0
Let t(p) be the first derivative of 2*p**6 - 722*p**5/5 + 4080*p**4 - 54900*p**3 + 317250*p**2 - 101250*p - 1476. Let t(o) = 0. Calculate o.
1/6, 15
Let j = -52719 + 52719. Let 2*p - 2/5*p**2 + 2/5*p**4 + j - 2*p**3 = 0. Calculate p.
-1, 0, 1, 5
Let x(y) be the first derivative of -19*y**5 + 435*y**4 - 2745*y**3 + 1215*y**2 + 2605. What is j in x(j) = 0?
0, 6/19, 9
Let s be (-23)/(-1104)*16*-30 - 2*(0 + -6). Factor -4*z**s + 128/7 + 440/7*z.
-4*(z - 16)*(7*z + 2)/7
Let o(a) be the third derivative of -a**8/336 + 32*a**7/35 - 187*a**6/15 + 1112*a**5/15 - 246*a**4 + 1472*a**3/3 - a**2 + 1144*a. Let o(q) = 0. What is q?
2, 184
Let p(c) = 9*c**4 + 41*c**3 - 23*c**2 - 63*c + 6. Let j(v) = -4*v**4 - 40*v**3 + 22*v**2 + 67*v - 5. Let n(m) = 3*j(m) + 4*p(m). Factor n(b).
(b - 1)*(2*b + 3)**2*(6*b - 1)
Suppose 0*t - 221 = -17*t. Factor -105*y**3 - 18*y - 5*y**4 - 53*y**3 + t*y**4 + 8*y**5 - 142*y**2 - 50*y**4 + 16.
2*(y - 8)*(y + 1)**3*(4*y - 1)
Let l be -1*(-1)/(-9)*-9. Let z be 30/12 - (l + 4 + -4). Factor 0 - 3/4*w**2 - z*w + 3/4*w**3.
3*w*(w - 2)*(w + 1)/4
Let m(b) be the second derivative of -2*b**7/105 + 98*b**6/75 + 56*b**5/25 - 296*b**4/15 - 416*b**3/15 + 160*b**2 - 3443*b. Find g, given that m(g) = 0.
-2, 1, 2, 50
Suppose 144400/3*p**2 + 23560*p**3 + 0 - 252*p**4 + 2/3*p**5 + 0*p = 0. What is p?
-2, 0, 190
Let i(g) = g**2 - 5*g - 2. Suppose -50 = 38*a - 33*a. Let f(b) be the third derivative of b**4/24 - b**3/6 - 3*b**2. Let v(t) = a*f(t) - 5*i(t). Factor v(n).
-5*(n - 4)*(n + 1)
Let f = 80279/4 + -240829/12. Factor -f*v**2 + 0 + 2/3*v.
-2*v*(v - 1)/3
Suppose 86*d - 85*d = 5. Factor 28*i**d + 4323*i**3 + 768*i**4 - 1055*i**2 - i**5 - 102*i**4 + 432*i + 3719*i**2.
3*i*(i + 12)**2*(3*i + 1)**2
Let w be ((-24)/39)/(23/69*18/(-39)). Factor -4/19*f**2 + 0*f**3 + 2/19*f**w + 2/19 + 0*f.
2*(f - 1)**2*(f + 1)**2/19
Let q = 9180300/139 + -66045. Let n = 4/417 + q. Factor 2/9*y - 1/9*y**2 + n.
-(y - 3)*(y + 1)/9
Suppose -2002*u + 2007*u - 2*j = 28, -5*j - 70 = -3*u. Find h, given that -2/3*h**4 + 0*h + 50/3*h**3 + u*h**2 + 0 = 0.
0, 25
Let t = 2113/3 + -704. Let g(h) be the second derivative of 0 + 0*h**2 - 16*h + t*h**4 - 2*h**3. Let g(w) = 0. Calculate w.
0, 3
Let z(r) = -31*r**2 - 136*r + 32. Let p(d) = 16*d**2 + 72*d - 16. Let v(h) = -5*p(h) - 3*z(h). Factor v(a).
(a + 4)*(13*a - 4)
Let u = 4352665/7 - 621809. Factor 150/7*h**2 + 31250/7 - 3750/7*h - u*h**3.
-2*(h - 25)**3/7
What is v in -20*v - 860*v**2 - 12084*v**4 - 12050*v**4 + 23924*v**4 - 845*v**3 = 0?
-2, -1/42, 0
Let t(c) = c**3 + 5*c**2 - 11*c - 27. Let f be t(-6). Let b be 2486/2926 + 2/(-14)*f. Factor -8/19*h**2 + 0 - b*h - 2/19*h**3.
-2*h*(h + 2)**2/19
Determine r so that 64 - 34 + 45*r**2 - 95*r**2 + 46*r**2 + 126 + 152*r = 0.
-1, 39
Let f(n) be the third derivative of 1/15*n**3 + 1/150*n**6 + 0 - 1/60*n**5 - 7/120*n**4 - 64*n**2 + 0*n. Factor f(t).
(t - 2)*(t + 1)*(4*t - 1)/5
Let b = 152 - 139. Factor -485*n**2 + 481*n**2 + 89*n - b*n.
-4*n*(n - 19)
Let l be ((-12)/(-13338))/((-17)/(-14773)). Let r = l + -1/247. Determine g, given that 0*g - 1/9*g**4 + 0 - 2/3*g**2 - r*g**3 = 0.
-6, -1, 0
Let d = 566286 - 2831412/5. Let -21/5*h**2 + 3/5*h**3 + d*h + 0 = 0. What is h?
0, 1, 6
Let t(z) be the third derivative of 3*z**7/140 - 1981*z**6/120 - 3089*z**5/120 + 147*z**4/8 - 8441*z**2. Let t(o) = 0. Calculate o.
-1, 0, 2/9, 441
Suppose -14*c + 45*c = -744. Let l(f) = 28*f**2 - 56*f + 12. Let j(b) = 2*b**2 - b + 1. Let u(x) = c*j(x) + l(x). F