 f**5/60 - 1103*f**4/24 + f**2 + 500*f + 2. Solve m(k) = 0.
0, 1103
Let a be ((-9540)/27)/(-20) - 16. Let x(g) be the third derivative of -1/24*g**6 + 0*g + 0*g**5 - 13*g**2 + 5/8*g**4 + 0 - a*g**3. Factor x(q).
-5*(q - 1)**2*(q + 2)
Determine m, given that 655*m**3 + 96*m**2 + 120*m**2 + 21*m**5 - 38*m**4 - 508*m**4 - 225*m**4 - 121*m**3 = 0.
-2/7, 0, 1, 36
Let i(k) = 25*k**2 - 59*k + 147. Let t(y) = 16*y**2 - 62*y + 146. Let p(q) = 2*i(q) - 3*t(q). Factor p(x).
2*(x - 2)*(x + 36)
Suppose 3*y - 13 = 2*b, 4*b + 5 = -y - 0*b. Let l(x) = x**2 + 3*x - 16. Let c be l(y). Factor 0*h + 6/13*h**c - 4/13*h**3 - 2/13.
-2*(h - 1)**2*(2*h + 1)/13
Let u(n) be the third derivative of -n**7/14 - 37*n**6/40 - 7*n**5/10 - 1510*n**2. Factor u(h).
-3*h**2*(h + 7)*(5*h + 2)
Let x(n) = 29*n**2 - 1360*n + 57807. Let c(p) = 100*p**2 - 4760*p + 202324. Let q(h) = -7*c(h) + 24*x(h). Solve q(w) = 0 for w.
85
Let -480/7*d - 674/7*d**2 - 72/7 - 10/7*d**5 - 102/7*d**4 - 390/7*d**3 = 0. What is d?
-3, -2, -1/5
What is q in -108*q**3 - 10*q**5 + 3*q**2 - 1550*q**4 - 18*q + 144*q**3 - 2*q**5 + 1541*q**4 = 0?
-2, -3/4, 0, 1
Let z(a) be the first derivative of 8/35*a**5 + 0*a**2 + 0*a - 8/7*a**3 - 233 - 2/21*a**6 + 5/7*a**4. Determine v so that z(v) = 0.
-2, 0, 1, 3
Determine t so that 235/2*t**3 - 120*t + 5/2*t**5 - 65/2*t**4 - 115/2*t**2 + 90 = 0.
-1, 1, 6
Let p = 13 + 0. Solve 12*a**5 + 38 + 4*a**4 + 24*a**2 - p*a**4 - 11*a**4 - 42 - 8*a**3 - 4*a = 0.
-1, -1/3, 1
Let p(i) be the third derivative of i**8/1512 - 296*i**7/315 + 98123*i**6/270 + 13172*i**5/9 + 198025*i**4/108 + 8272*i**2. Find d such that p(d) = 0.
-1, 0, 445
Let d(u) be the first derivative of -u**6/48 - 7*u**5/40 - 7*u**4/16 - u**3/3 - 8448. Let d(w) = 0. What is w?
-4, -2, -1, 0
Factor -965/4*g + 483/2 - 1/4*g**2.
-(g - 1)*(g + 966)/4
Let a(f) = -3*f**2 + 4*f**2 - f**2 + 1 + f**2. Let z(c) = -8*c**2 - 56*c - 200. Suppose -6 = -5*m - 26. Let r(x) = m*a(x) - z(x). Factor r(g).
4*(g + 7)**2
Factor -f**5 - 5*f**3 + 1046*f**4 + 84*f**3 + 54*f**2 - 1022*f**4.
-f**2*(f - 27)*(f + 1)*(f + 2)
Suppose 2278 = 360*y + 779*y. Factor 32/5*s + 2/5*s**3 + 24/5 + 14/5*s**y.
2*(s + 2)**2*(s + 3)/5
Let t = -33939/2 - -16973. Find a such that -t*a - 5 + 1/2*a**3 + 2*a**2 = 0.
-5, -1, 2
Let c(w) be the first derivative of -w**4/4 + 5*w**3/3 + 4*w**2 - 9*w - 8. Let z be c(6). Factor 4*h**4 - h**z - h**4 - 2*h**4.
h**3*(h - 1)
Factor 3456 - 1703 - 6*b - 1708 - 3*b**2.
-3*(b - 3)*(b + 5)
Let n be 5746/(-6552) + (-3)/(-4). Let a = 3064/315 + n. Factor 21/5*g**2 + a*g + 12/5.
3*(g + 2)*(7*g + 2)/5
Suppose 6/7*s**2 - 1830*s - 12816/7 = 0. Calculate s.
-1, 2136
Suppose -5*h = -5, -5*b + 2*h + 2 + 6 = 0. Suppose -9 = -i - 3*j, -13008*j - 1 = i - 13010*j. Determine l so that 2/3 - 1/3*l**i - 5/3*l + 4/3*l**b = 0.
1, 2
Factor 6*w**3 - 566*w**2 - 216 + 220*w - 3*w**3 + 508*w**2 - 2*w**3.
(w - 54)*(w - 2)**2
Let r = 77558 - 77558. Solve 6*l**2 + r - 3/4*l**4 + 3/2*l**3 + 0*l = 0.
-2, 0, 4
Let j(l) be the first derivative of 80/3*l + 5/9*l**3 + 85/6*l**2 - 50. Let j(o) = 0. Calculate o.
-16, -1
Let s(k) be the first derivative of k**5/5 + 99*k**4/4 + 2497*k**3/3 + 2205*k**2/2 - 4802*k - 2470. Factor s(u).
(u - 1)*(u + 2)*(u + 49)**2
Let r(w) be the first derivative of -2*w**6/15 - 92*w**5/25 - 137*w**4/5 + 44*w**3/15 + 1452*w**2/5 - 661. Determine y so that r(y) = 0.
-11, -3, 0, 2
Let p(i) = -6*i**2 - 94*i - 8. Let w(n) = 28*n**2 + 375*n + 36. Let u(y) = 9*p(y) + 2*w(y). Find h such that u(h) = 0.
0, 48
Let r(d) be the second derivative of d**7/6300 - d**5/75 + 25*d**4/12 + 4*d + 5. Let n(h) be the third derivative of r(h). Determine f, given that n(f) = 0.
-2, 2
Let a(c) be the third derivative of 0 + 1/300*c**6 - 19/90*c**4 + 189*c**2 + 19/450*c**5 + 16/45*c**3 + 0*c. Suppose a(x) = 0. What is x?
-8, 2/3, 1
Find t such that -5/3*t**2 - 1126/3 + 939*t = 0.
2/5, 563
Let j(v) be the first derivative of 0*v + 0*v**4 - 4*v**2 + 1/140*v**5 - 1/280*v**6 + 10 + 0*v**3. Let i(x) be the second derivative of j(x). Factor i(n).
-3*n**2*(n - 1)/7
Factor 24*x**2 - 2*x - 290 - 6*x**2 - 17*x - 18*x**2 + x**2.
(x - 29)*(x + 10)
Suppose 2*b - 300 = -q - 24, -3*b = 3*q - 414. Let g be 575/b*2/((-4)/(-3)). Let -5*h - 5/4*h**2 + g = 0. What is h?
-5, 1
Let n(z) be the second derivative of 2*z**7/21 + 12*z**6/5 + 104*z**5/5 + 272*z**4/3 + 224*z**3 + 320*z**2 + 221*z. Let n(g) = 0. What is g?
-10, -2
Factor 2/3 + 222*z + 36963/2*z**2.
(333*z + 2)**2/6
Let b(a) be the first derivative of a**3/5 - 3279*a**2/5 + 1311*a - 5285. Factor b(r).
3*(r - 2185)*(r - 1)/5
Let -235*q**2 - 1513 - 1692 + 825 + 239*q**2 + 45*q + 27*q = 0. What is q?
-35, 17
Let a(v) = 3*v**2 - 4560*v - 2599210. Let l(r) = 2*r**2 - 4560*r - 2599208. Let d(q) = -4*a(q) + 5*l(q). Determine n, given that d(n) = 0.
-1140
Let a(p) be the first derivative of -p**3/3 - 2*p**2 - p - 4. Let v be a(-3). Factor -3*r - 148*r**3 + 158*r**3 - 15*r**2 + r**v + 8 - 13*r.
2*(r - 2)*(r + 1)*(5*r - 2)
Let l = -923 - -935. Let d be (l/(-120))/(8/10)*-6. Factor p**3 + 11/4*p**2 - d*p + 0.
p*(p + 3)*(4*p - 1)/4
Let l be 10/6 - (14 - (-25 - 7216/(-192))). Find j such that 7/4*j**2 - l*j**3 + 2*j + 0 = 0.
-1, 0, 8
Suppose -187*h + 192*h + 3*l - 26 = 0, -4*h + 2*l = -12. Let y(a) be the first derivative of -9/4*a**h + 0*a + 6*a**2 - 3/5*a**5 + 0*a**3 + 3. Factor y(g).
-3*g*(g - 1)*(g + 2)**2
Let w(g) be the first derivative of -4*g**3/3 + 78*g**2 + 1080*g + 1471. Let w(x) = 0. Calculate x.
-6, 45
Let d(j) be the second derivative of -j**6/36 + j**5/4 - 25*j**4/72 - 5*j + 499. Determine n so that d(n) = 0.
0, 1, 5
Let c(q) be the third derivative of -q**5/12 + 55*q**4/6 + 4*q**2 + 11*q. Determine r, given that c(r) = 0.
0, 44
Let k be (-7 - -2)*(1 + 104/(-120) - 616/1470). Factor 2/7*r**2 - k - 8/7*r.
2*(r - 5)*(r + 1)/7
Let i(a) be the second derivative of -a**6/6 - 68*a**5 - 7930*a**4 - 182240*a**3/3 - 179560*a**2 - 2169*a. Factor i(j).
-5*(j + 2)**2*(j + 134)**2
Suppose 4412/9*h**2 + 14/9*h**4 - 646/9 + 347/3*h - 167/3*h**3 = 0. Calculate h.
-1/2, 2/7, 17, 19
Let a be (46 + -70 + 19 + (-4)/(-1))*1/(-2). Find d, given that a*d**2 - 1/6*d**3 + 2/3*d - 2 = 0.
-2, 2, 3
Factor 6/7 + 2052/7*u + 2046/7*u**2.
6*(u + 1)*(341*u + 1)/7
What is t in 16 + 6*t**2 + 20*t - 1/2*t**4 - t**3 = 0?
-2, 4
Suppose 18*w + 15 = 23*w, -4*w + 21 = 3*u. Let -345*q**2 - 21*q**4 + 45*q**5 - 39*q**3 - 115*q**2 - 97*q**3 - 324*q**u - 14*q**4 - 80*q = 0. Calculate q.
-2, -1, -2/9, 0, 4
Let j be (-74)/(-8) - 0 - (-2)/(-8). Let v be 79/j - (-7)/((-126)/(-4)). Solve -v*x**5 + 12 + 4*x**3 + 21*x**4 + 10*x**3 - 33*x**2 - 5*x**3 = 0.
-1, -2/3, 1, 2
Let s = -472 + 474. Factor 14*v**2 + 10*v - 83*v**2 + s*v**3 + 20*v**2 + 17*v**2 + 20*v**2.
2*v*(v - 5)*(v - 1)
Let f(h) = h**4. Let v = 117 + -118. Let p(j) = j**4 + 15*j**3 - 20*j. Let r(o) = v*p(o) - 4*f(o). Factor r(y).
-5*y*(y - 1)*(y + 2)**2
Let a(r) = -22*r**2 - 18*r + 3. Let i(m) = 36*m**2 + 36*m - 5. Let j(t) = 5*a(t) + 3*i(t). Determine o so that j(o) = 0.
0, 9
Let v(w) = 3*w**2 + 35*w + 14. Let b(g) = 24*g**2 + 282*g + 105. Let m(n) = 4*b(n) - 33*v(n). Factor m(i).
-3*(i + 2)*(i + 7)
Let i(z) = 730*z - 213886. Let h be i(293). Let 0 + 18/7*v**3 - 3/7*v**h - 18/7*v + 3/7*v**2 = 0. Calculate v.
-1, 0, 1, 6
Let w(l) be the first derivative of -l**7/140 - 19*l**6/120 + l**5/4 + 8*l**3 + 58. Let j(h) be the third derivative of w(h). Find d, given that j(d) = 0.
-10, 0, 1/2
Factor 292/7*o**2 + 0 + 4/7*o**3 + 0*o.
4*o**2*(o + 73)/7
Let s = -3411 + 3413. Let y(i) be the first derivative of 21/2*i**s + 3 + 1/4*i**4 - 8/3*i**3 - 18*i. Factor y(w).
(w - 3)**2*(w - 2)
Let p be (-12)/(-16) - 2/((-40)/185). Factor -35*v + 12 + p*v**4 - 29*v + 8*v**3 - 44 - 32*v**2 + 2*v**5.
2*(v - 2)*(v + 1)*(v + 2)**3
Let k(a) be the third derivative of 1/525*a**7 + 2/75*a**6 + 0*a + 23/150*a**5 + 7/15*a**4 + 4/5*a**3 + a**2 + 41. Solve k(q) = 0.
-3, -2, -1
Suppose -3570*w**2 - 905*w**3 - 280*w**3 - 220*w**3 - 100*w**4 - 2375*w - 110 = 0. Calculate w.
-11, -2, -1, -1/20
Let i(c) be the second derivative of c**7/840 + c**6/40 - 2*c**5/5 + 3*c**4/2 + c**3/6 + c - 100. Let o(n) be the third derivative of i(n). Factor o(q).
3*(q - 2)*(q + 8)
Let j = -56 - -62. Suppose j = 3*z - 0. What is i in -2*i**2 + 8*i - 3 + 5*i**2 - 4*i**z