*4 - 2/15*k**5. Let g(m) = -23*m**2 + m. Let j(l) = -6*g(l) + 17*o(l). Factor j(f).
2*f*(f - 3)
Find b such that 20/13*b + 2/13*b**2 - 22/13 = 0.
-11, 1
Find x, given that 37/5*x**2 - 51/5*x + 3*x**3 - 1/5*x**4 + 0 = 0.
-3, 0, 1, 17
Let h be 3/(-6)*(919 - 919). Let 1/5*q**3 + 3/5*q**2 + 0 + h*q = 0. What is q?
-3, 0
Let g(n) be the first derivative of 2*n**5 - 2/3*n**3 + 17/2*n**2 + 146 - 8*n - 1/6*n**6 - 4*n**4. Factor g(p).
-(p - 8)*(p - 1)**3*(p + 1)
Suppose 5*f - 2*s = -55, 16 = 2*s + 6. Let b be 320/144 - (-2)/f. Find r, given that -2/3*r**5 + 0 - r**4 - 2/3*r + r**b + 4/3*r**3 = 0.
-2, -1, 0, 1/2, 1
Determine j so that -480*j - 108*j**2 + 4*j**3 - 27*j**2 - 98*j**2 + 13*j**2 - 12*j**2 = 0.
-2, 0, 60
Determine c so that -9/4 - 39/8*c - 21/8*c**2 + 3/8*c**3 + 3/8*c**4 = 0.
-2, -1, 3
Let x be ((-4)/(-13))/(-2) + 56/26. Factor 4*n**2 + 29*n + n**2 + 5*n**x - 5*n**2 + 16*n.
5*n*(n + 9)
Let i(f) be the third derivative of 1/140*f**5 + 0*f**6 - 16*f**2 - 1/490*f**7 + 0 + 0*f**4 + 0*f + 0*f**3. Factor i(z).
-3*z**2*(z - 1)*(z + 1)/7
Let i(t) be the first derivative of t**4/4 + 48*t**3 - 579*t**2/8 + 145*t/4 - 7864. Solve i(o) = 0 for o.
-145, 1/2
Let t(k) be the third derivative of -k**6/540 - 31*k**5/270 - 89*k**4/54 - 80*k**3/9 + 6*k**2 + 23. Factor t(i).
-2*(i + 2)*(i + 5)*(i + 24)/9
Let p(z) be the second derivative of 3*z**4 + 203*z + 2*z**5 + 0 - 12*z**2 - 26/3*z**3. Solve p(u) = 0.
-3/2, -2/5, 1
Suppose -5*v - 2*x + 6 = 0, -2*x - 7 - 5 = -4*v. Factor -24*g**3 - 160*g + 6*g**4 + 96*g**v - 82 - 4*g**4 + 178.
2*(g - 6)*(g - 2)**3
Let p(m) = 14*m**4 + 94*m**3 + 174*m**2 + 90*m. Let k(i) = 17*i**4 + 95*i**3 + 174*i**2 + 91*i. Let q(u) = 4*k(u) - 5*p(u). Factor q(c).
-2*c*(c + 1)**2*(c + 43)
Suppose 2*l = 12173*r - 12171*r - 10, -6 = 3*r + 4*l. Solve -6/5*n - 4/5 - 2/5*n**r = 0.
-2, -1
Let l = 166 - 161. Factor 33*m**4 + 135*m**3 - 11*m**2 + l*m**5 + 12*m**4 + 0*m**4 + 146*m**2.
5*m**2*(m + 3)**3
Let h(v) = -13*v**2 + 992*v + 2171. Let g(a) = -72*a**2 + 5448*a + 11940. Let s(n) = -5*g(n) + 28*h(n). Factor s(j).
-4*(j - 136)*(j + 2)
Let q be 4565/1980 + (-4)/18. Let j(h) be the second derivative of q*h**3 + 12*h - 5/2*h**2 + 1/8*h**5 + 0 - 5/6*h**4. Factor j(v).
5*(v - 2)*(v - 1)**2/2
Determine c, given that 0 - 6*c - 2*c**2 + 2*c**4 + 13/2*c**3 - 1/2*c**5 = 0.
-2, -1, 0, 1, 6
Let y(h) be the first derivative of -h**6/6 - 2*h**5/5 + 2*h**3/3 + h**2/2 - 776. Factor y(r).
-r*(r - 1)*(r + 1)**3
Let b be 572/55 + 2 + (-24)/10. Let x(y) = -46*y + 462. Let u be x(b). Factor 0 - 3*j + 3/2*j**u.
3*j*(j - 2)/2
Suppose -q = -5*g + 17, -4 = -2*q - 4*g + 4. Let y = q + 5. What is r in -2*r + 2074 - 3*r - 2076 + y*r**2 = 0?
-1/3, 2
Suppose 0 = -4*o - 2*i + 6, -4*i + 5*i = 4*o - 15. Factor 4*s**4 + 415*s**2 - s**4 - 412*s**2 + 9*s - 9*s**o - 6.
3*(s - 2)*(s - 1)**2*(s + 1)
Let y(r) be the second derivative of -115/12*r**3 - 117*r + 30*r**2 - 5/24*r**4 + 0. What is j in y(j) = 0?
-24, 1
Suppose -278 + 3 = -5*q. Suppose -4*i - 102 = -q*i. Suppose 2/3*z**3 + i*z**2 - 2/3*z - 2 = 0. Calculate z.
-3, -1, 1
Let i(a) = -1650*a + 3. Let o be i(-2). Factor 3303*y - o*y - 4*y**3.
-4*y**3
Let n(q) be the second derivative of q**5/120 - 5*q**4/18 - 31*q**3/12 - 6*q**2 - 30*q + 10. Solve n(p) = 0 for p.
-3, -1, 24
Suppose -4*v = b - 41 + 33, 3*v - 23 = -5*b. Factor 680 - 1715*w**b + 17529*w**3 + 10156*w**3 + 11280*w**2 + 7100*w - 6230*w**2 + 19520*w**2.
-5*(w - 17)*(7*w + 2)**3
What is c in 21/5*c**3 + 64/5*c**2 - 1/5*c**5 + 0 - 68/5*c - 16/5*c**4 = 0?
-17, -2, 0, 1, 2
Solve 0*r + 1/3*r**5 - 14*r**2 + 0 - 53/3*r**3 - 10/3*r**4 = 0.
-3, -1, 0, 14
Factor 105*u**2 - 153*u - 5*u**3 + 110*u + 180 - 18*u - 219*u.
-5*(u - 18)*(u - 2)*(u - 1)
Determine c, given that -945 + 540*c**2 - 57*c**3 + 5*c**4 - 5*c**3 - 68*c**3 - 270*c = 0.
-1, 3, 21
Factor -20*n + 17*n**2 + 21*n**3 + 16*n**2 + 120 - 94*n - 25*n**3 + n**3.
-3*(n - 5)*(n - 4)*(n - 2)
Let u(i) be the third derivative of i**6/90 + 514*i**5/45 - i**4/18 - 1028*i**3/9 - 217*i**2 - 2. Factor u(b).
4*(b - 1)*(b + 1)*(b + 514)/3
Suppose -140*j**5 + 1912*j**2 + 2416*j + 612*j**3 + 1056 + 48*j**5 + 56*j**4 + 35*j**5 + 53*j**5 = 0. What is j?
-3, -2, -1, 22
Let -25150*h - 425*h**2 - 39*h**3 + 24760*h - 2 + 2 + 9*h**3 + 5*h**4 = 0. Calculate h.
-6, -1, 0, 13
Let r(w) be the second derivative of -w**8/1680 + w**7/280 + w**6/360 - w**5/40 - 32*w**3/3 - w - 62. Let a(i) be the second derivative of r(i). Factor a(n).
-n*(n - 3)*(n - 1)*(n + 1)
Let m(n) = 8*n**2 - 13*n - 86. Let s(z) = 4*z**2 - 6*z - 44. Let x = -484 + 479. Let k(i) = x*s(i) + 2*m(i). Factor k(f).
-4*(f - 4)*(f + 3)
Solve -69/2*d - 39/2*d**2 - 33/2 - 3/2*d**3 = 0 for d.
-11, -1
Let m be (-22)/(-4) - ((-22)/4 + 5). Suppose 2*v = -4*f + m, -5*f - 4*v = -4*f + 9. Determine n so that 6*n + f*n - n - 3*n**2 + 4*n = 0.
0, 4
Let h(c) be the second derivative of c**6/40 + 6*c**5/5 - 171*c**4/8 + 135*c**3 - 3321*c**2/8 - 8914*c. Factor h(u).
3*(u - 3)**3*(u + 41)/4
Determine a so that 4*a**3 - 540*a**2 + 36 - 4*a - 582*a**2 + 1086*a**2 = 0.
-1, 1, 9
Let y = 207523/15617 - 40/15617. Factor 3/7*s**2 - y - 90/7*s.
3*(s - 31)*(s + 1)/7
Let z(m) be the second derivative of m**5/30 - 7*m**4/3 + 196*m**3/3 + 135*m**2/2 - 20*m + 3. Let j(u) be the first derivative of z(u). What is t in j(t) = 0?
14
Let y be -2 + (-14)/(-21 + 19) + (-11)/3. Solve 2 - 2/3*s**2 + y*s = 0.
-1, 3
Suppose 68*p**3 - 4816/5*p - 1696/5 - 1304/5*p**2 = 0. What is p?
-2, -2/5, 106/17
Suppose -10*h - 2*j = -5*h - 162, 4*j + 156 = 5*h. Suppose -4*r = -n - 10, 0 = -34*n + h*n - 4. What is b in -4/19*b - 6/19 + 2/19*b**r = 0?
-1, 3
Suppose 5*m - 3*y - 122 = -97, -1100 = -55*y. Let m*o**3 - 3/2*o**4 + 64 + 48*o - 60*o**2 = 0. What is o?
-2/3, 4
Let r = 526 + -514. Let h be (-18)/30*(-40)/r. Factor h*g**2 - 9/2*g + 1.
(g - 2)*(4*g - 1)/2
Let h = 80 - 77. Suppose -6 + 2 = -z - 3*w, -4*z - h*w + 16 = 0. Solve -5*d**4 + 2*d**4 + 2*d**4 + 2*d**z - 4*d + 3*d**3 = 0 for d.
-2, 0, 1
Let a(v) = -4*v**3 - 226*v**2 + 668*v - 2. Let y(x) = 17*x**3 + 909*x**2 - 2673*x + 9. Let n(l) = 9*a(l) + 2*y(l). Factor n(f).
-2*f*(f - 3)*(f + 111)
Let a(g) = 676*g**2 + 2*g - 1. Let p be a(1). Suppose 4*z + t = 3*z + 137, 3*t - p = -5*z. Solve -60*j - z - 9*j**2 + 42*j**2 + 121 = 0.
-2/11, 2
Let c(w) = -3*w**2 + 191*w - 2856. Let o be c(24). Factor 0 + o*y - 9/7*y**3 + 10/7*y**2 - 1/7*y**4.
-y**2*(y - 1)*(y + 10)/7
Let o = -620/1003 - -84580/7021. Factor 36/7*v - 2/7*v**3 - 6/7*v**2 + o.
-2*(v - 4)*(v + 2)*(v + 5)/7
Let u = -84877 + 84880. Suppose -4/23*l**2 + 0*l - 2/23*l**4 + 0 + 6/23*l**u = 0. Calculate l.
0, 1, 2
Factor 2*u + 2/5*u**2 - 132/5.
2*(u - 6)*(u + 11)/5
Let h(g) be the second derivative of g**4/8 + 22*g**3 + 261*g**2/4 + 2*g + 2344. Suppose h(m) = 0. Calculate m.
-87, -1
Factor -203/2*f**3 - 213/2*f + 3/2*f**4 + 0 - 707/2*f**2.
f*(f - 71)*(f + 3)*(3*f + 1)/2
Factor 402 + 132*v - 2/3*v**2.
-2*(v - 201)*(v + 3)/3
Suppose -4/9*l**2 - 476/3 + 488/9*l = 0. What is l?
3, 119
Factor 33444*j**3 + 3480*j**2 - 13*j**4 - 42140*j**3 + 3*j**4.
-2*j**2*(j + 870)*(5*j - 2)
Let q be 1 + (1 - -9) - ((-7449)/(-117) + -56). Factor -1/3*p**2 - q + 11/3*p.
-(p - 10)*(p - 1)/3
Let u = 10878/5 + -76136/35. Let v be -1 + (0 - (-46)/14). Factor v*t + 32/7 + u*t**2.
2*(t + 4)**2/7
Let n(r) be the first derivative of -28/5*r**5 + 0*r - 12*r**4 + 4*r**2 + 127 - 4*r**3. Determine x, given that n(x) = 0.
-1, 0, 2/7
Let r(q) be the third derivative of q**6/24 - 23*q**5/12 - 265*q**4/24 + 125*q**3/2 + 608*q**2. Let r(f) = 0. What is f?
-3, 1, 25
Let j(q) be the first derivative of -q**5/20 + 33*q**4/16 - 119*q**3/12 + 87*q**2/8 - 1321. What is y in j(y) = 0?
0, 1, 3, 29
Let t(f) be the first derivative of -f**4/4 + 5*f**3/3 - f**2/2 + 7*f + 8. Let l be t(5). Factor 5*q**3 + 5*q**2 + 4*q**4 + 3*q**5 - 2*q**5 - 3*q**l.
q**2*(q + 1)**2*(q + 2)
Let p(v) be the first derivative of 7*v**6/12 + 13*v**5/2 + 18*v**4 + 6*v**3 - 2752. Solve p(s) = 0 for s.
-6, -3, -2/7, 0
Let r(d) be the third derivative of d**6/120 - 4*d**5/15 - 235*d**4/24 + 125*d**3/3 - 2000*d**2 - 1. Determine l so that r(l) = 0.
-10, 1, 25
Factor 2/13*l**3 - 1384/13*l**2 + 239432/13*l + 0.
2*l*(l - 346)**2/13
Factor -1088/3*b - 1/3*b**4 - 362/3*b**2 - 43/3*b**3 - 352.
-(b + 2)*(b + 4)**2*(b + 33)/