.
-3*g**2*(g - 4)*(g + 1)
Let p(v) be the third derivative of v**5/15 + 215*v**4/3 + 92450*v**3/3 + 10*v**2 + 9. Factor p(s).
4*(s + 215)**2
Let p(z) be the first derivative of z**5/150 - z**4/12 + 81*z**2 + 72. Let o(i) be the second derivative of p(i). Solve o(y) = 0.
0, 5
Suppose -5 = 4*n - 13. Factor -7 + 5*x**2 + 8*x - 5 - 7*x**3 + 24*x + 32*x**n.
-(x - 6)*(x + 1)*(7*x - 2)
Let q(a) = 24*a**2 + 27*a - 70. Let k(j) = -10*j**2 - 14*j + 36. Let o(x) = -10*k(x) - 4*q(x). Factor o(h).
4*(h - 2)*(h + 10)
Let m(g) be the first derivative of g**4/8 + 1249*g**3/6 - 6192. Factor m(q).
q**2*(q + 1249)/2
Let h be 2*((-2079)/70)/(-11). What is o in -h + 6/5*o + 1/5*o**2 = 0?
-9, 3
Let i = -40 - -45. Let v be 18/45 + -13*(-1)/i. Factor y**v + 5*y - 3*y**2 - 4*y**3 + y.
-3*y*(y - 1)*(y + 2)
Let s = -1139/528 + 409/176. Determine j, given that -11/6*j - 3/2*j**3 + s*j**4 + 0 - 7/2*j**2 = 0.
-1, 0, 11
Let l = -73/42 + 47/21. Factor 1/6*t**3 + 0 + 1/3*t - l*t**2.
t*(t - 2)*(t - 1)/6
Let q(d) be the third derivative of 0*d - 1/210*d**7 - 23/120*d**6 + 0*d**3 + 2/5*d**5 + 4*d**2 - 4 + 0*d**4. Suppose q(l) = 0. Calculate l.
-24, 0, 1
Let m = 299 + -295. Let v(a) = -a**5 - a**2 - a + 1. Let y(n) = 3*n**5 + 7*n**4 - 19*n**3 + 29*n**2 - 12*n. Let o(c) = m*v(c) + y(c). Factor o(k).
-(k - 2)**2*(k - 1)**3
Let t(y) be the third derivative of 29*y + 0 - 10/3*y**3 - y**2 - 1/12*y**5 - 25/24*y**4. Let t(a) = 0. What is a?
-4, -1
Suppose -75*c = 67*c - 22*c. Let j(b) be the first derivative of 1/9*b**6 + 0*b + 10 + c*b**2 - 1/6*b**4 - 4/15*b**5 + 4/9*b**3. Suppose j(o) = 0. Calculate o.
-1, 0, 1, 2
What is x in -96 + 35*x**2 + 15*x**3 - 43*x - 72 - 3*x**4 - 17*x + 35*x**2 - 16*x**2 = 0?
-2, 2, 7
Let d = -3440 + 3440. Let y(o) be the second derivative of d - 9/100*o**5 + 0*o**2 + 2*o + 0*o**3 + 0*o**4 - 1/50*o**6. Determine i so that y(i) = 0.
-3, 0
Let y(j) = 8*j**3 - 1160*j**2 + 108305*j + 5. Let m(w) = -9*w**3 + 1164*w**2 - 108306*w - 6. Let t(h) = 5*m(h) + 6*y(h). Suppose t(g) = 0. Calculate g.
0, 190
Let a(t) be the third derivative of -t**6/30 + 388*t**5/15 - 18818*t**4/3 - 1436*t**2. Factor a(r).
-4*r*(r - 194)**2
Determine v, given that 10/3*v**2 - 44 - 122/3*v = 0.
-1, 66/5
Let j(y) be the second derivative of y**6/35 - 87*y**5/70 - 48*y**4/7 + 5*y + 17. Factor j(s).
6*s**2*(s - 32)*(s + 3)/7
Let d(o) be the third derivative of 25/7*o**3 + 0 + 181*o**2 - 11/8*o**4 + 3/140*o**5 + 0*o. Factor d(x).
3*(x - 25)*(3*x - 2)/7
Let w(n) be the third derivative of -n**4/2 - 11*n**3/2 + 4*n**2. Let u be w(-3). Factor 4 + 3 + 0*i - 5*i + u - 5*i**2.
-5*(i - 1)*(i + 2)
Factor 23*l**3 + 1/4*l**4 + 292*l - 144*l**2 - 196.
(l - 2)**3*(l + 98)/4
Let j(o) = -727*o - 3633. Let y be j(-5). Let -2/11*x**5 + 32/11 + 10/11*x**3 - 10/11*x**4 - 80/11*x + 50/11*x**y = 0. Calculate x.
-4, 1
Let h be -7 + (-9)/144*-130. Factor -21/8*w - 3/4 - h*w**2.
-3*(w + 2)*(3*w + 1)/8
Let r(g) = 2*g**3 - 5*g**2 + 38*g + 23. Let l(u) = u**3 - 3*u**2 + 19*u + 11. Let f(c) = 13*l(c) - 6*r(c). Let z be f(5). Factor -3 - k**2 + 4 + 0 + z.
-(k - 1)*(k + 1)
Let i(l) = 8*l**3 + 43*l**2 - 93*l + 48. Let y(f) = -f**4 - 4*f**3 - f. Let o(s) = -2*i(s) - 2*y(s). Let o(x) = 0. Calculate x.
-6, 1, 8
Let l(f) = -f**2 + 8*f - 13. Let t be l(5). Suppose 35 + 5*r**3 - 155 - 113*r - 175*r + 53*r - 110*r**t = 0. What is r?
-1, 24
Find h such that 1160*h**2 - 105*h**4 + 588 - 2128*h - 25*h**4 - 208*h**3 - 18*h**4 + 160*h**4 = 0.
1/3, 3, 7
Factor 1/4*s**5 - 1/2*s**3 + 1/4*s - 1/2*s**2 + 1/4 + 1/4*s**4.
(s - 1)**2*(s + 1)**3/4
Let f(b) be the third derivative of b**7/105 + 6*b**6/5 + 136*b**5/15 - 1467*b**2. Factor f(a).
2*a**2*(a + 4)*(a + 68)
Let z(n) be the first derivative of n**5/20 + 183*n**4/16 + 299*n**3/4 + 1249*n**2/8 + 267*n/2 - 9889. Factor z(p).
(p + 1)**2*(p + 3)*(p + 178)/4
Let k(f) = -2*f**4 + f**3 - f**2. Let z(q) = -4*q**5 + 90*q**4 + 267*q**3 + 109*q**2 - 268*q - 184. Let h(w) = 5*k(w) + z(w). What is d in h(d) = 0?
-2, -1, 1, 23
Factor -26/5*y**2 - 24/5*y + 792/5.
-2*(y + 6)*(13*y - 66)/5
Let k(l) = -8*l**2 + 46*l. Let p(g) = -20*g**2 + 116*g. Suppose 454*c = 460*c + 30. Let t(s) = c*p(s) + 12*k(s). Suppose t(w) = 0. Calculate w.
0, 7
Suppose -17 = -4*l + 3. Suppose -3 = -3*m + x, l*m - x = -0*m + 7. Let -26*z**m - 16*z**2 + 240*z + 5*z**3 - 200 - 3*z**3 = 0. What is z?
1, 10
Factor 159*q + 213/4 + 51*q**3 + 315/2*q**2 - 3/4*q**4.
-3*(q - 71)*(q + 1)**3/4
Suppose 6*x - 15 = x, 3*a = -5*x - 63. Let r be 3/(-5) + (a/(-10) - 0). Factor 18 - 32*l**2 + 53*l**r - 24*l**2 + 3*l.
-3*(l - 3)*(l + 2)
Factor -182/11 + 40/11*n - 2/11*n**2.
-2*(n - 13)*(n - 7)/11
Let y(t) = -2*t**2 - 5*t + 2. Let d(w) = 37*w**2 + 88*w - 8. Let z(n) = -2*d(n) - 38*y(n). Factor z(q).
2*(q - 3)*(q + 10)
Suppose 39 = z + 24. Suppose 0 = 12*m - 9*m - z. Suppose -6*s + 0*s**3 - 3 + m*s**3 + 0*s**3 + s**3 + 3*s**4 = 0. What is s?
-1, 1
Suppose -14*h - 2*z - 26 + 36 = 0, 5*z - 25 = -2*h. Suppose 12/5*j**2 - 12/5*j + h - 3/5*j**3 = 0. Calculate j.
0, 2
Find x, given that -105/2*x**3 + 27*x**4 - 3/8*x**5 + 423/8*x - 3/4*x**2 - 105/4 = 0.
-1, 1, 70
Let k(g) be the first derivative of g**3/9 - 2351*g**2/3 + 5527201*g/3 + 7772. Factor k(z).
(z - 2351)**2/3
Suppose 4*o = 2*a + 4, -4*o - 4 = -5*a - 2. Suppose -548*s**2 - 37*s + 13*s + 547*s**a - 144 = 0. Calculate s.
-12
Let s be (-8 + 3 + 4)*9/1. Let h(n) = n**3 - 5*n**2 - 129*n - 23. Let b be h(s). Let -j + 1/6*j**b + 4/3*j**2 - 3/2 + j**3 = 0. Calculate j.
-3, -1, 1
Let z(c) be the third derivative of -21*c**2 - 27/20*c**4 + 0*c - 1/100*c**5 + 3 - 729/10*c**3. Factor z(x).
-3*(x + 27)**2/5
Factor -22/9*s + 52/9 - 2/9*s**2.
-2*(s - 2)*(s + 13)/9
Factor -200 - 3*n**3 + 210 + 201*n - 112 - 96*n**2.
-3*(n - 1)**2*(n + 34)
Let i(x) = -x**4 + 2*x**3 + 20*x**2 - 4*x - 4. Let f(r) = -6*r**4 + 11*r**3 + 115*r**2 - 23*r - 23. Let z(k) = -4*f(k) + 23*i(k). Suppose z(g) = 0. What is g?
-2, 0
Let o be (-104)/(-39)*(-54)/(-24). Let k(n) be the third derivative of 0*n - 1/3*n**5 + 0 - 1/24*n**o + 26*n**2 + 0*n**3 - 5/8*n**4. Factor k(q).
-5*q*(q + 1)*(q + 3)
Suppose u + u = 2*h - 16, 18 = -2*u + 4*h. Let t be (u/(-4) - 2) + (-45)/(-20). Factor 1 - 2*v**t - 3*v**2 - 2*v**2 + 6*v**2.
-(v - 1)*(v + 1)
Let o be (-1 - 14/8)*(4320/660)/(-36). Factor -1/2*g**2 + 3 - o*g.
-(g - 2)*(g + 3)/2
Suppose -15*q + 52 - 367 = 0. Let p be 1 + -4 - (-28 - q). Find v such that 21/4*v**3 + v**5 + 11/4*v**2 + 4*v**p + 1/2*v + 0 = 0.
-2, -1, -1/2, 0
Suppose -214 = -4*g + 98. Let a = g - 74. Suppose -6*r**3 - 4*r**2 + a*r**3 + 5*r**3 - 20*r + r**3 - 12 = 0. Calculate r.
-1, 3
Determine j, given that -685/6*j**2 - 4180*j - 5/6*j**3 - 18150 = 0.
-66, -5
Let v(y) = 2*y**2 + 4*y + 4. Let d be v(0). Factor -5*o**d - 76*o**2 + 40*o**3 + 140*o - 224 + 164 - 39*o**2.
-5*(o - 3)*(o - 2)**2*(o - 1)
Let q = 129 - 226. Let t = q - -100. Find l such that 0*l + 44*l**t + 3*l**2 + l - 48*l**3 = 0.
-1/4, 0, 1
Let v(q) = 8*q + 306. Let j be v(-38). Let k(x) be the first derivative of 7/6*x**j - 5/9*x**3 - 6 + 1/12*x**4 - x. Factor k(l).
(l - 3)*(l - 1)**2/3
Let v(k) be the first derivative of -3 + 6/5*k**4 - 3/25*k**5 - 13/5*k**3 + 9/5*k**2 + 0*k. Solve v(q) = 0 for q.
0, 1, 6
Let r be 3789/16840*16/3. Factor -r*o**2 + 3/5*o**3 - 12/5*o + 24/5.
3*(o - 2)**2*(o + 2)/5
Suppose 234*c - 294*c = -120. Let m(q) be the first derivative of -13 - 3*q**c + q**4 - 4/3*q**3 + 6/5*q**5 + 1/3*q**6 - 2*q. Factor m(i).
2*(i - 1)*(i + 1)**4
Let f = 153443 + -153441. Determine v so that -1/6*v**f - 4/3*v - 8/3 = 0.
-4
Let v = 3/51142 - -605/3934. Determine i, given that -v*i**3 + 0 + 10/13*i**2 - 8/13*i = 0.
0, 1, 4
Suppose 8/5*c**4 + 158/5*c + 194/15*c**3 + 12/5 + 104/3*c**2 = 0. What is c?
-3, -2, -1/12
Let o(i) be the first derivative of -37*i - 4/3*i**3 - 1/2*i**4 + 39 + 1/10*i**5 + 0*i**2. Let g(r) be the first derivative of o(r). Solve g(x) = 0 for x.
-1, 0, 4
Suppose 0 = -10*k + 2469 - 2199. Let o be k/18*2/5. Factor 0*m**2 + o*m**4 + 0*m + 0 + 0*m**3 - 3/5*m**5.
-3*m**4*(m - 1)/5
Factor 225 - 3*c**2 - 84*c + 2 + 11 + 39 + 2.
-3*(c - 3)*(c + 31)
Let x(d) be the third derivative of d**6/210 + 11*d**5/105 - 13*d**4/21 - 1705*d**2. Factor x(f).
4*f*(f - 2)*(f + 13)/7
Let f = -93 + 129. Determine w so that -25*w - f*w**2 - 44*w**2 + 85*w**2 = 0.
0, 5
Let k(a) 