 Solve 35*n**2 + f*n - 45 - 5*n**3 - 70*n + 70 = 0.
1, 5
Let t(f) = -3*f + 183. Let b be t(35). Let l be 9*(-16)/24*(-2)/b. Factor l*a**2 + 0 - 2/13*a**4 + 2/13*a**5 - 2/13*a**3 + 0*a.
2*a**2*(a - 1)**2*(a + 1)/13
Let k(c) = 3*c - 4*c - 3*c - c - c**2. Let s(n) = -n + 4*n - 3*n + n. Let r(h) = 4*k(h) + 18*s(h). Factor r(v).
-2*v*(2*v + 1)
Let i(r) be the second derivative of -r**4/42 + 474*r**3/7 - 505521*r**2/7 + 6*r + 78. Solve i(j) = 0 for j.
711
Let a be (-6 + 19/3)*57/152. Let n(b) be the second derivative of 7/2*b**3 + 0 - a*b**4 + 22*b - 147/4*b**2. Factor n(r).
-3*(r - 7)**2/2
Let g = -226 - -229. Factor 24 + z**2 - 16*z**2 - 21136*z**g - 6*z + 21133*z**3.
-3*(z - 1)*(z + 2)*(z + 4)
Let m(h) be the third derivative of 47/3*h**4 + 4418/3*h**3 + 0*h + 307*h**2 + 0 + 1/15*h**5. Factor m(u).
4*(u + 47)**2
Let h(o) be the third derivative of -o**10/378000 + o**8/16800 - o**7/6300 + 59*o**5/60 - o**2 + 5*o. Let b(d) be the third derivative of h(d). Factor b(f).
-2*f*(f - 1)**2*(f + 2)/5
Suppose -y + 255 - 256 = -4*k, k + 3*y + 3 = 0. Let p(u) be the first derivative of k*u**2 + u**4 + 0*u - 4/5*u**5 + 15 + 0*u**3. Determine s so that p(s) = 0.
0, 1
Suppose 0 = -i - 5*m + 10*m + 28, -2*m - 10 = 0. Let x be i - 3 - -1 - 8/(-4). Factor 8/5*n**2 + 0 + 2/5*n**4 - 8/5*n**x + 0*n.
2*n**2*(n - 2)**2/5
Let j be (-155 - -19)/(-8) + -14. Let w(q) be the first derivative of 2*q + 4 + 2/3*q**j + 2*q**2. Factor w(k).
2*(k + 1)**2
Let u(b) be the first derivative of -3*b**4/2 - 4481*b**3 - 3766560*b**2 - 3763200*b - 4558. Suppose u(x) = 0. Calculate x.
-1120, -1/2
Let k(y) = 136*y**3 + 9888*y**2 + 201696*y + 1378420. Let h(a) = -27*a**3 - 1978*a**2 - 40339*a - 275684. Let f(i) = 24*h(i) + 5*k(i). Factor f(t).
4*(2*t + 41)**3
Let s(y) be the third derivative of -y**5/600 + 73*y**4/40 - 15987*y**3/20 - 2*y**2 + 270*y. Factor s(j).
-(j - 219)**2/10
Let b(k) be the third derivative of -k**7/210 + k**5/10 + k**4/3 + 44*k**3/3 - 60*k**2 + 1. Let c(l) be the first derivative of b(l). Factor c(o).
-4*(o - 2)*(o + 1)**2
Let v = 18452 - 18452. Let w(s) be the second derivative of 36*s - 7/45*s**6 + 0 + v*s**3 - 1/6*s**5 + 0*s**2 + 1/9*s**4. Suppose w(h) = 0. What is h?
-1, 0, 2/7
Let h = 273670 + -273668. Factor 39 - 33/2*j - 3/2*j**h.
-3*(j - 2)*(j + 13)/2
Let x = 155801/156 + -2990/3. Let m = 30/13 - x. Factor -m*q + 1/4*q**2 + 0.
q*(q - 1)/4
Let i(q) = -32*q + 5219. Let p be i(163). Factor -2/5*k - 2/5*k**4 + 4/5*k**p - 2/5 - 2/5*k**5 + 4/5*k**2.
-2*(k - 1)**2*(k + 1)**3/5
Let s be (-4 - 8/9)*45/(-10). Factor s*f**3 + 45 + 6*f**2 + f**4 + 195*f - 264*f - 4*f**2 - f**5.
-(f - 5)*(f - 1)**2*(f + 3)**2
Let u(b) be the second derivative of 0 + 4/3*b**2 + 25/18*b**3 - 1/15*b**5 + 74*b - 29/36*b**4. Let u(r) = 0. Calculate r.
-8, -1/4, 1
Let z(y) = -3*y**2 + y. Let w(a) = -14*a**2 + 75*a + 1225. Let x be (0 - (6 - 3)) + 4. Let r(b) = x*w(b) - 5*z(b). Find f, given that r(f) = 0.
-35
Let z(i) = i**5 - 3*i**4 - 3*i**2 + i + 1. Let n(b) = -20739*b**5 - 24759*b**4 + 1424*b**3 - 11*b**2 - 3*b - 3. Let c(t) = -n(t) - 3*z(t). Solve c(y) = 0.
-5/4, 0, 1/36
Let -31*j**3 + 1/4*j**4 + 241/4*j**2 + 0 + 183/2*j = 0. Calculate j.
-1, 0, 3, 122
Let h be ((3 - 11/3) + -2)*639/(-1136). Let -9*g - 15/2*g**2 - h*g**3 + 0 = 0. Calculate g.
-3, -2, 0
Let g be -1101 - 15*10/25. Let n = -3196/3 - g. Determine c so that -1/3*c**3 - n - 25*c - 5*c**2 = 0.
-5
Let v(d) be the third derivative of -d**7/42 + 3*d**6/8 + d**5/4 - 145*d**4/24 + 15*d**3 + 91*d**2 + 26*d. Determine n so that v(n) = 0.
-2, 1, 9
Let m(p) = -p**3 - 20*p**2 + 648*p + 706. Let v be m(-37). Solve -12*u - 1/2*u**4 + 0 - 15/2*u**v - 19*u**2 = 0 for u.
-12, -2, -1, 0
Let o(f) be the third derivative of -1/30*f**5 + 0*f**3 - 75*f**2 + 0 + 0*f - 1/6*f**4. Let o(b) = 0. What is b?
-2, 0
Suppose 0 = -3*n + 3*m + 201, -n = 4*m - 7 - 35. Let d = n + -10. Factor -53*l**3 + d*l**3 - 5*l**2 - 4 - 8*l + 0*l**2.
-(l + 1)*(l + 2)**2
Let i(n) be the second derivative of -n**4/4 + 2*n**3 + 18*n**2 - 2733*n. Factor i(p).
-3*(p - 6)*(p + 2)
Let z be 180/160*(-437)/(-171). Let z*a + 5/4 + 5/8*a**2 - 1/4*a**3 = 0. Calculate a.
-2, -1/2, 5
Factor -57750*k + 6920*k**3 - 10010*k + 5*k**5 - 81790 + 325*k**4 - 24690 + 45320*k**2.
5*(k - 2)*(k + 1)*(k + 22)**3
Let n(h) be the third derivative of -h**5/12 + 143*h**4/24 - 14*h**3 - 254*h**2. Let n(l) = 0. What is l?
3/5, 28
Factor 151/7*m**3 + 0 - 825*m**2 - 1/7*m**4 + 5625/7*m.
-m*(m - 75)**2*(m - 1)/7
Let g = 301/37 + -269/74. Let c(j) be the first derivative of g*j**4 + 18*j**2 - 3/5*j**5 - 29 - 13*j**3 - 12*j. Find w, given that c(w) = 0.
1, 2
Let c(g) be the first derivative of -g**5/20 - g**4/16 + g**3/4 + 5*g**2/8 + g/2 + 2261. Find p such that c(p) = 0.
-1, 2
Let s(c) = -c**2 - 8*c + 107. Let d be s(-15). Let q = 5 + -3. Factor -i**q - 5*i**3 + d*i**2 + 5*i**2 - i**2.
-5*i**2*(i - 1)
Let a(v) = 5*v**3 + 5*v**2 - 32*v - 20. Let f(y) = -y**2 + 1. Let q = -15 + 55. Let g(h) = q*f(h) + 5*a(h). Factor g(p).
5*(p - 3)*(p + 2)*(5*p + 2)
Let o be ((-18)/3)/(-1 - 1). Factor -o*g**2 + 30 - 2*g**2 - 55*g + 30*g.
-5*(g - 1)*(g + 6)
Let j(m) be the second derivative of -3*m**5/20 + 17*m**4/16 + 39*m**3/8 + 27*m**2/4 - 55*m + 6. What is n in j(n) = 0?
-1, -3/4, 6
Find i, given that 50 + 0*i - 1/2*i**2 = 0.
-10, 10
Let f be -3 - (-522856)/(-208) - (-3)/(-6). Let w = 2518 + f. Suppose -176/13*c**2 + 4/13 + w*c = 0. What is c?
-1/8, 2/11
Let f(k) = 60*k**2 + 32*k + 4. Let c be 28/(-5)*(22/(-4) + 3). Let h(y) = 45*y**2 + 25*y + 7*y + 4 + c*y**2. Let m(l) = 5*f(l) - 4*h(l). What is j in m(j) = 0?
-1/4
Let a(d) be the second derivative of -d**3 + 16*d + 2 + 0*d**2 + 1/6*d**4. Factor a(m).
2*m*(m - 3)
Factor 96/7 - 4/7*v**3 + 36/7*v**2 + 136/7*v.
-4*(v - 12)*(v + 1)*(v + 2)/7
Suppose -2 = -2*d, -137*d = -c + 137*d - 272*d. Factor -2/3*z**2 - 4/3 - c*z.
-2*(z + 1)*(z + 2)/3
Let z = -347 + 395. Suppose -z - 3*r**2 + 5*r**2 - 64*r + 247 + 131 + 182 = 0. Calculate r.
16
Let c be (-9 - -17) + 2 + -8. Let u(y) be the first derivative of 2/33*y**3 + 3/11*y**c - 8 + 0*y. Factor u(h).
2*h*(h + 3)/11
Let c be 41/(-246) + 26/12. Determine n, given that -9*n - 3*n**4 + 12*n - 5*n + n**4 - 6*n**c - 6*n**3 = 0.
-1, 0
Let t(r) be the first derivative of r**6/4 - 9*r**5/2 + 81*r**4/8 - 13*r**3/2 + 7410. Factor t(h).
3*h**2*(h - 13)*(h - 1)**2/2
Let j = -24471485 - -94043925431/3843. Let v = -4/427 + j. Determine h so that 50/9 + 2/9*h**2 - v*h = 0.
5
Determine t, given that 508/5*t**2 - 32*t + 0 + 178/5*t**3 + 14/5*t**4 = 0.
-8, -5, 0, 2/7
Let t = 64370 - 64367. Factor -1/6*p**5 + 1/2*p**t + 0*p**4 + 0*p - 1/3*p**2 + 0.
-p**2*(p - 1)**2*(p + 2)/6
Suppose -2/7*l - 94/7 + 282/7*l**2 - 4/7*l**4 - 26*l**3 = 0. What is l?
-47, -1/2, 1
Let u(p) = -5*p**2 - 189*p - 172. Let a be (-21)/(-12) + 2 - 1/(-4). Let v(m) = -20*m**2 - 755*m - 690. Let r(t) = a*v(t) - 15*u(t). Factor r(f).
-5*(f + 1)*(f + 36)
Let u(r) = -r**3 - 8*r**2 - r - 3. Let c be u(-8). Suppose 0 = a - 5*p + c, 4*p = -5*a - p + 35. Suppose -5 - a*z**2 + 0*z + 11*z - z = 0. Calculate z.
1
Let a(s) = s**4 - 71*s**3 + 1092*s**2 + 1156*s - 4. Let f(g) = g**4 - 72*g**3 + 1093*g**2 + 1156*g - 5. Let p(u) = -5*a(u) + 4*f(u). Factor p(d).
-d*(d - 34)**2*(d + 1)
Let a be 1842/5*(-75)/(-135). Let h = a - 204. Determine s, given that 2/3*s + 1/6*s**4 + h*s**3 + s**2 + 1/6 = 0.
-1
Let q(p) = -p**3 + 12*p**2 - 3*p + 40. Let t be q(12). Factor -91*b - 3*b**3 - 3*b**2 - b**5 + 2*b**3 + 93*b + 3*b**t.
-b*(b - 2)*(b - 1)**2*(b + 1)
Let z(j) be the second derivative of -j**5/210 + 13*j**4/84 - 4*j**3/7 + 40*j**2 + 82*j. Let p(v) be the first derivative of z(v). Factor p(i).
-2*(i - 12)*(i - 1)/7
Suppose -5*q + 2*r = -17678, -3*q + 8948 = 2*r - 1646. Let 0*y**3 - y**3 - 8*y - 159 - 667*y + q + 45*y**2 = 0. Calculate y.
15
Let m(j) be the first derivative of -3*j**4/4 + 48*j**3 + 147*j**2/2 - 111. Factor m(l).
-3*l*(l - 49)*(l + 1)
Suppose -72 = -2*x - 3*m, -14304 = 3*x - 3*m - 14247. Solve 141/4*g**x + 11*g**2 + 20*g**4 - 9*g + 3*g**5 - 4 = 0.
-4, -2, -2/3, -1/2, 1/2
Let w be ((-12)/(-36)*3)/((-1)/(-2)). Solve 405*l**3 + 84*l**4 - l**5 - 588*l - 114*l**2 - w*l**5 + 6*l**5 + 30*l**2 + 180*l**3 = 0.
-14, -1, 0, 1
Let h(p) be the first derivative of p**3/3 + 5*p**2/2 - 6*p + 1319. Find g, giv