at 0 + 0*z - 18/5*z**4 - 8*z**3 - 24/5*z**2 - 2/5*z**u = 0.
-6, -2, -1, 0
Let b(z) = -105*z**4 + 45*z**3 + 258*z**2 - 45*z - 51. Let h(a) = -2*a**4 + 5*a**2 - 1. Let r(c) = -b(c) + 51*h(c). Factor r(i).
3*i*(i - 15)*(i - 1)*(i + 1)
Let w(h) be the first derivative of -h**6/270 + 13*h**5/1080 - h**4/216 - 28*h**3/3 - h**2/2 + 50. Let s(y) be the third derivative of w(y). Factor s(o).
-(o - 1)*(12*o - 1)/9
Let n be ((-17)/4 + 2/(-8))*-6. Suppose -4 = 25*s - n*s. Solve 46*d**s - 44*d**2 - 3*d**3 + 8*d**5 - 7*d**5 = 0 for d.
-2, 0, 1
Let p be 9/(-6) - 15/(-2). Factor 334*b**4 - 60*b - 329*b**4 - 40*b**2 + p*b**3 - b**3.
5*b*(b - 3)*(b + 2)**2
Let j(v) be the third derivative of -v**6/144 - 4*v**5/45 - 19*v**4/48 - v**3/2 - 3332*v**2. Solve j(m) = 0 for m.
-3, -2/5
Let g(l) be the third derivative of -2*l**2 + 2/27*l**4 + 0*l**3 + 1/90*l**6 - 1/945*l**7 + 39*l - 2/45*l**5 + 0. Factor g(n).
-2*n*(n - 2)**3/9
Suppose 31 - 23 = 3*b + w, -5*w = -b + 8. Let l be (-2)/(-6) - b/108*-15. Factor -3/4*f**2 + l*f + 0.
-3*f*(f - 1)/4
Let t(l) be the third derivative of 0*l**4 + 0 + 0*l + 1/126*l**7 - 107*l**2 + 0*l**5 + 0*l**3 + 7/72*l**6. Solve t(p) = 0 for p.
-7, 0
Let p(m) be the first derivative of m**7/1120 - 9*m**6/160 - 7*m**5/40 + 97*m**3/3 - 2*m - 186. Let i(g) be the third derivative of p(g). Factor i(a).
3*a*(a - 28)*(a + 1)/4
Let z(l) be the first derivative of -l**4/34 - 80*l**3/51 - 77*l**2/17 - 76*l/17 - 2348. Suppose z(r) = 0. Calculate r.
-38, -1
Let i = -19 - -81. Let z = 89 - i. Factor -15 + 87 + 3*k**4 + z*k**3 + 132*k + 26*k**2 + 64*k**2.
3*(k + 2)**3*(k + 3)
Let r(w) = -24*w**3 - 2*w**2 + w - 1. Let m(o) = -95*o**3 - 26*o**2 + 112*o - 220. Let a(f) = -5*m(f) + 20*r(f). Factor a(z).
-5*(z - 6)**3
Let o(v) be the third derivative of -v**6/120 - v**5/6 + 29*v**4/8 - 24*v**3 - 2*v**2 + 391*v. Factor o(y).
-(y - 3)**2*(y + 16)
Let -8*t**2 + 30*t**5 - 16*t**3 - 1061*t - 10*t**4 + 1061*t - 32*t**5 = 0. What is t?
-2, -1, 0
Let f(s) be the first derivative of -s**5/30 - s**4/3 - s**3 - s**2 + 5*s - 84. Let n(h) be the second derivative of f(h). Factor n(p).
-2*(p + 1)*(p + 3)
Let r be (((-9)/10)/9)/((3/(-30))/(30/60)). Find q such that -1/2*q**3 - 1/4*q**2 + 0 + r*q + 1/4*q**4 = 0.
-1, 0, 1, 2
Suppose 592/5*v - 4/5*v**4 - 148/5*v**3 + 168/5*v**2 - 608/5 = 0. What is v?
-38, -2, 1, 2
Let n = 5140949/7 + -734419. Factor -4/7*f**2 + 12 + n*f.
-4*(f - 7)*(f + 3)/7
Let m = -3468 - -3468. Let l(h) be the third derivative of -7/66*h**4 - 19/330*h**5 + 0*h - 19*h**2 - 1/11*h**3 - 2/165*h**6 + m. Solve l(u) = 0.
-1, -3/8
Let g(w) = -3*w**5 + 125*w**4 - 2*w**2 + 4*w. Let v(z) = -3*z**5 + 126*z**4 - 3*z**2 + 6*z. Let a(y) = -3*g(y) + 2*v(y). Factor a(u).
3*u**4*(u - 41)
Let u(f) be the first derivative of -14*f**3/15 - 37*f**2/5 - 4*f - 1931. Factor u(m).
-2*(m + 5)*(7*m + 2)/5
Suppose 5*j + 3*m - 69 = 0, -4*m - 25 + 49 = -68. What is t in -1/2*t**5 + 5*t**4 + 0 + 0*t**2 + j*t - 25/2*t**3 = 0?
0, 5
Let s(f) be the first derivative of 215 + 3/34*f**4 + 2/17*f**3 + 1/17*f**2 + 0*f + 2/85*f**5. Factor s(n).
2*n*(n + 1)**3/17
Let l(u) be the third derivative of -3*u**5/20 - u**4/8 + 25*u**3/6 + 61*u**2. Let r(i) = -9*i**2 - 3*i + 24. Let w(y) = -6*l(y) + 5*r(y). Factor w(v).
3*(v + 2)*(3*v - 5)
Let y(d) = 63*d**2 - 1372*d - 235298. Let f(g) = 25*g**2 - 686*g - 117649. Let t(o) = 5*f(o) - 2*y(o). Suppose t(l) = 0. What is l?
-343
Suppose -4*z - 6 = 3*y, 4*z + 240*y - 8 = 244*y. Let z - 2/5*k - 2/15*k**2 = 0. Calculate k.
-3, 0
Let j = 16 + -14. Suppose -i + 2 = -3*n, -j*i + 3*i - 2*n = 2. Determine c so that -6*c + 131 - 99 + i*c**2 - 10*c + 0*c = 0.
4
Let n = 288800/3 + -96265. Let 35/3*j**2 + 0*j + 5/3*j**5 - 5*j**4 - n*j**3 - 20/3 = 0. Calculate j.
-1, 1, 2
Let p(v) be the second derivative of 0 + 0*v**3 + 1/30*v**5 + 1/12*v**4 + 13*v**2 + 15*v. Let a(n) be the first derivative of p(n). Factor a(c).
2*c*(c + 1)
Let m be -7 + 9 - (1/3)/((-12)/(-72)). Let t = -4/63 - -71/126. Factor t*o**2 - 2*o + m.
o*(o - 4)/2
Find q, given that -8100*q - 8315 - 180*q**3 + 5173 - 6983 - 1144*q**2 - 73*q**2 - 5*q**4 - 853*q**2 = 0.
-15, -3
Let w(f) be the third derivative of 0 - 1/420*f**7 - 1/672*f**8 + 1/24*f**4 + 1/80*f**6 + 0*f + 0*f**3 + 1/24*f**5 - 117*f**2. Let w(y) = 0. Calculate y.
-1, 0, 2
Let p(u) be the third derivative of -u**7/5040 - u**6/360 - u**5/60 + 7*u**4/8 + 19*u**2 - 2. Let g(h) be the second derivative of p(h). Factor g(s).
-(s + 2)**2/2
Let n(d) = -968*d**2 - 4. Let a be n(1). Let b be (-4)/(-6)*a/(-48). Factor -9/2*w - b - 3/8*w**2.
-3*(w + 6)**2/8
Suppose 4*q - 3*z = 9, 0*z = -3*q + 2*z + 7. Factor 3*l**2 - 5*l**4 + 10*l**3 + q*l**2 - l**2 - 10*l.
-5*l*(l - 2)*(l - 1)*(l + 1)
Let i be -70*3/(75/(-10)). Let 6*d**2 + 20*d - 2*d**3 - i*d + d**3 = 0. Calculate d.
0, 2, 4
Suppose -12*s = -0*s - 20*s + 48. Let p(d) be the second derivative of 1/3*d**4 + d**3 - 1/5*d**s + d**2 - 1/5*d**5 + 0 - 24*d - 1/21*d**7. Solve p(j) = 0.
-1, 1
Let d(z) = 21*z**2 - 240*z - 4776. Suppose -261*w + 260*w = -1. Let v(s) = -2*s**2 - 2. Let m(o) = w*d(o) + 12*v(o). Factor m(a).
-3*(a + 40)**2
Let a(i) be the first derivative of -i**5/4 - 35*i**4/8 + 65*i**3/4 + 385*i**2 - 2420*i - 6631. Determine c, given that a(c) = 0.
-11, 4
Let n(o) be the third derivative of -1/6*o**4 - 2/15*o**5 + 0 + 0*o + 170*o**2 + 4/3*o**3 + 1/30*o**6. Factor n(t).
4*(t - 2)*(t - 1)*(t + 1)
Let m = 54841/40 - 1371. Let t(a) be the third derivative of -a**3 - 1/8*a**4 + m*a**6 - 3/70*a**7 + 0 + 0*a + 1/4*a**5 - 14*a**2. Let t(l) = 0. What is l?
-1, -2/3, 1
Let z(o) be the third derivative of -1/10*o**5 + 0*o**3 + 0*o + 1/40*o**6 - 35*o**2 + 0 + 1/8*o**4. Factor z(m).
3*m*(m - 1)**2
Factor 903168/5 + 2688/5*l + 2/5*l**2.
2*(l + 672)**2/5
Factor -9/7*d - 3/7*d**2 - 5/7 + 1/7*d**3.
(d - 5)*(d + 1)**2/7
Factor 512*d + 68*d**3 + 897 + 2*d**4 - 2494 + 897 + 354*d**2 + 924.
2*(d + 1)**2*(d + 4)*(d + 28)
Suppose 0 = -3*j - 3*c + 63, -5*j + 314 = -3*c + 257. Let g(a) be the first derivative of -35/2*a - 5/6*a**3 + 10*a**2 - j. Solve g(r) = 0 for r.
1, 7
Let o = 59951/10 - 5995. Let w(l) be the second derivative of o*l**2 - 2/15*l**3 + 1/10*l**4 - 1/25*l**5 + 6*l + 1/150*l**6 + 0. Solve w(p) = 0.
1
Suppose -5*o = -2*t - 20, 7*o = 3*o - 5*t + 49. Determine h, given that 83 - 40 + 14*h**2 - 41 + o*h**3 + 10*h = 0.
-1, -1/3
Let b(z) = 7*z**3 - 500*z**2 + 702*z - 138. Let p be b(70). Find m, given that -12/5 + 2/15*m**3 + 14/5*m - 16/15*m**p = 0.
2, 3
Suppose 6 = 2*c + 2. Factor -39*m**c - 32*m + 28*m**2 + 28 - 4*m + 19*m**2.
4*(m - 1)*(2*m - 7)
Let k(g) = g**3 + 2*g**2 - 70*g - 71. Let a be ((1 - 1) + (4 - 2))/(-2). Let m be k(a). Factor m - 27/4*v**2 - 3*v**4 + 9*v**3 + 0*v.
-3*v**2*(2*v - 3)**2/4
Let y(t) be the second derivative of t**4/6 - 155*t**3/3 - 156*t**2 - 7*t - 158. Factor y(q).
2*(q - 156)*(q + 1)
Suppose 18*y = -11*y + 203. Let s(q) = 11*q**4 - q**3 - 6*q - 12. Let l(j) = -13*j**4 + j**3 + j**2 + 7*j + 14. Let k(h) = y*s(h) + 6*l(h). Factor k(r).
-r**2*(r - 2)*(r + 3)
Factor 316*u + 22*u**2 + 12482/11.
2*(11*u + 79)**2/11
Let f = -105268 + 2000524/19. Find o, given that 50/19 + 792/19*o**3 - 348/19*o**2 - 70/19*o - f*o**4 = 0.
-1/3, 1/2, 5/6
Let y be 2/(2 - -2)*6. Let p(g) = -16*g - 542. Let m be p(-34). What is n in 279*n - 1 + 3*n**m + 6 - 288*n + n**y = 0?
-5, 1
Let m(i) = -3*i**2 + 12*i. Let x be m(4). Suppose -4*r + 20 = 5*c, 2*c + c = x. Factor 2*t**2 - 2*t**r - 5*t**3 + 2*t**5 - 2*t**4 + 5*t**5.
t**2*(t - 1)*(t + 1)*(5*t - 2)
Let i = -25443 + 25446. Let q(f) be the third derivative of 2/3*f**i + 5/12*f**4 + 0*f + 0 - 21*f**2 + 1/10*f**5. Determine p so that q(p) = 0.
-1, -2/3
Let r(h) be the first derivative of -2*h**3/7 + 726*h**2/7 - 4302*h/7 - 2527. Factor r(v).
-6*(v - 239)*(v - 3)/7
Let u(s) be the third derivative of 0*s - 9/50*s**5 - 3/200*s**6 + 1/560*s**8 + 16*s**2 - 1 + 0*s**4 + 0*s**3 + 2/175*s**7. Let u(j) = 0. Calculate j.
-3, 0, 2
Let x(z) be the second derivative of 1/80*z**5 + 0 + 0*z**2 - 16*z + 1/48*z**4 + 0*z**3. Let x(g) = 0. What is g?
-1, 0
Factor 1/9*d**3 + 16810/9 + 287/3*d - 8*d**2.
(d - 41)**2*(d + 10)/9
Let n = -76256 + 381281/5. Factor -1/5*o**2 + 1/5 + n*o**3 - 1/5*o.
(o - 1)**2*(o + 1)/5
Suppose -2*m = -5*w + 20, -m = -2*m. Suppose -2*p + 3*v = w*v - 3, -p + 