 = 3*l(g) - 40*z(g). Factor i(h).
5*(h - 614)*(h - 2)
Let w(g) = -6*g**2 - 49619*g + 24651225. Let k(z) = z**2 + 9924*z - 4930245. Let r(v) = 31*k(v) + 6*w(v). Factor r(p).
-5*(p - 993)**2
Let w = -13937/6 + 2323. Let k(d) be the second derivative of -1/20*d**5 - w*d**3 + 0 - 1/6*d**4 - 13*d + 0*d**2. Solve k(i) = 0.
-1, 0
Let f(o) be the second derivative of o**8/2520 - o**6/135 + 37*o**3/6 + o**2/2 - 36*o + 2. Let a(w) be the second derivative of f(w). Factor a(j).
2*j**2*(j - 2)*(j + 2)/3
Let j(d) be the first derivative of -3*d**5/5 - 120*d**4 - 316*d**3 + 6968. Factor j(k).
-3*k**2*(k + 2)*(k + 158)
Let 440697728 + 1094448*i + 1/4*i**3 + 906*i**2 = 0. Calculate i.
-1208
Suppose c + g = -6, c = 2*c - 5*g - 24. Let q be 5/10*(c - -9). Suppose 6/5*a**2 - 3/5*a + 0 - 6/5*a**q + 3/5*a**5 + 0*a**3 = 0. What is a?
-1, 0, 1
Let c(x) = -9*x + 12. Let r be c(-5). Let v = -42 + r. Factor -14*g**3 + v*g**3 + 0*g + 0*g + g**5 + 2*g**4.
g**3*(g + 1)**2
Let f be 6 - (-154)/21 - (-34 + 42). Let 0*v + 0*v**3 + 4/3*v**4 + 0 - f*v**2 = 0. Calculate v.
-2, 0, 2
Suppose 0 = 40*o - 8*o - 96. Find j, given that 102*j - j**3 + o - 3 + 2*j**2 - 102*j = 0.
0, 2
Let b(q) be the first derivative of 169*q**5 + 65*q**4 + 20*q**3/3 - 823. Factor b(y).
5*y**2*(13*y + 2)**2
Let s(a) be the second derivative of a**4/72 + 37*a**3/36 - 43*a**2/2 - 63*a + 12. Factor s(v).
(v - 6)*(v + 43)/6
Let n(m) be the third derivative of -m**7/210 + m**6/15 + m**5/2 + 4*m**4/3 + 11*m**3/6 + 1097*m**2. Factor n(w).
-(w - 11)*(w + 1)**3
Let j(n) be the second derivative of 3*n**5/4 + 19*n**4/2 + 81*n**3/2 + 54*n**2 + 4*n + 579. Factor j(l).
3*(l + 3)*(l + 4)*(5*l + 3)
Let 0 + 2/9*q**3 + 176/9*q - 178/9*q**2 = 0. Calculate q.
0, 1, 88
Let c = 15 + -22. Let p(f) = -f**3 - 6*f**2 + 4*f + 5. Let g be p(c). Factor -j**4 + 10*j**3 + 0*j**4 - g*j**3 - j**4.
-2*j**3*(j + 8)
Let s(y) be the second derivative of -y**5/35 - 11*y**4/3 - 490*y**3/3 - 2450*y**2 - 7*y - 452. Suppose s(q) = 0. Calculate q.
-35, -7
Let i(w) be the third derivative of -w**6/108 + 38*w**5/45 - 5*w**4/3 + 24*w**3 - 266*w**2. Let h(q) be the first derivative of i(q). Solve h(r) = 0 for r.
2/5, 30
Let f(u) = u**3 + 31*u**2 - 39*u - 24. Let s be f(-31). Solve -51239*t - 5*t**3 + 2465195 + s*t**2 - 3858*t - 14556*t - 23962*t + 0*t**3 = 0.
79
Suppose -97*v + 5*m + 45 = -101*v, 0 = 4*v + 2*m + 30. Let w be v + (10/2)/1. Factor -h**2 + 0 + 1/4*h**3 + w*h.
h**2*(h - 4)/4
Let d = 87321 + -436603/5. Let -1/10*a**5 + 0 - 1/2*a**3 + 0*a - 1/5*a**2 - d*a**4 = 0. What is a?
-2, -1, 0
Factor 455*v + 10 + 221 - 1260 + 3*v**2 - 581*v.
3*(v - 49)*(v + 7)
Suppose -5*j - 608 + 1783 = 0. Suppose 24 - 200*z + 250*z**2 + 41 - j*z**2 = 0. Calculate z.
1/3, 13
Let i(o) be the first derivative of -o**5/10 - 193*o**4/4 + 390*o**3 - 1174*o**2 + 1568*o + 494. Find k such that i(k) = 0.
-392, 2
Suppose h - 27 = -8*h. Suppose -h*s + 83 + 79 = 0. Find r, given that 13*r**4 + 21*r**4 + 48*r**2 - 16*r - s*r**4 - 16*r**3 + 4*r**3 = 0.
-2, 0, 2/5, 1
Suppose -4*r = 2*s - 10, 0 = -r + 3*r + 4*s + 4. Let p = 1551 - 1546. Factor 0 - 1/2*a**p + a**2 - a**r + 0*a**3 + 1/2*a.
-a*(a - 1)*(a + 1)**3/2
Let o(h) be the third derivative of -h**6/60 - 239*h**5/30 + 487*h**4/4 - 735*h**3 + 10*h**2 + 243. Factor o(g).
-2*(g - 3)**2*(g + 245)
Suppose 3*s = -5*j - 515, 15*s + 15 = 12*s. Let o be 20/j*((-39)/6 - -4). Let -o*x**2 + 3 - 1/2*x = 0. Calculate x.
-3, 2
Let t(s) = -s**3 + 199*s**2 - 9404*s - 9600. Let b(w) = 2*w**3 - 399*w**2 + 18807*w + 19199. Let n(i) = 4*b(i) + 9*t(i). Factor n(o).
-(o - 98)**2*(o + 1)
Solve 8418 + 23*y**3 + 305*y + 18*y**3 + 3*y**3 - 960*y**2 - 8602 - 1493*y = 0 for y.
-1, -2/11, 23
Factor 51*m**2 + 16 + 88*m**2 + 2*m**3 - 131*m**2 - 28*m + 2*m**3.
4*(m - 1)**2*(m + 4)
Let i = -3776 - -86878/23. Let b = 196/115 - i. Suppose b - 2/5*j**3 + 6/5*j**2 - 6/5*j = 0. What is j?
1
Let x = 577027/28 + -20608. Let f(q) be the first derivative of -x*q**4 + 0*q**2 + 0*q + 3/7*q**3 + 25. Factor f(p).
-3*p**2*(p - 3)/7
Let z(g) = 9*g - 184. Let h be z(22). Let h*q**2 + 5*q**3 + 72*q - 24*q**2 - 30*q**2 - 20*q**2 + 9*q**3 - 16 = 0. Calculate q.
2/7, 2
Let h be (50 - 68)*(-1)/2. Suppose r - h = -7. Solve -12/11*o + 2/11*o**r + 10/11 = 0.
1, 5
Let j(i) = -7*i - 21. Let y(c) = -3*c - 10. Let f(w) = 2*j(w) - 5*y(w). Let u be f(-6). Find h, given that -15*h**u + 25*h**2 - 11*h**2 = 0.
0
Suppose 12*u - 3*b + 45 = 15*u, -5*b - 29 = -3*u. Determine n so that -100*n**3 - n**4 + u*n + 96*n**3 + 16 + 3*n = 0.
-2, 2
Solve -40*d**3 - 144/7 + 580/7*d**2 + 286/7*d - 436/7*d**4 - 6/7*d**5 = 0.
-72, -1, 1/3, 1
Let j = 34/4405 - -79052/30835. Determine c, given that 0*c - 2/7*c**2 + j = 0.
-3, 3
Let k(w) = 35*w**4 + 166*w**3 + 46*w**2 - 1286*w - 1741. Let s(n) = -11*n**4 - 55*n**3 - 16*n**2 + 428*n + 580. Let q(c) = -4*k(c) - 13*s(c). Solve q(i) = 0.
-16, -2, 3
Let v(q) = q**2 - 3*q - 10. Let d be v(5). Suppose -l = -3 - d. Factor 4*t - l*t**2 - 4*t**3 - 4*t**2 + 3*t**2 + 4*t**4.
4*t*(t - 1)**2*(t + 1)
Let y(t) be the second derivative of t**5/10 + 122*t**4/3 + 1763*t. Factor y(w).
2*w**2*(w + 244)
Let x(q) be the third derivative of 0*q + 1/40*q**5 + 2*q**2 - 3/4*q**3 - 80 - 5/32*q**4 + 1/160*q**6. Factor x(k).
3*(k - 2)*(k + 1)*(k + 3)/4
Let f = 83 - 78. What is w in 40*w + 21 + 8*w + 12*w**3 - f + 44*w**2 = 0?
-2, -1, -2/3
Let z(s) = -2*s**2 + 3*s + 1. Let i(x) = -3*x**2 + 232*x + 239. Let v(c) = -i(c) - z(c). Factor v(u).
5*(u - 48)*(u + 1)
Let v = 7619 + -7614. Let u(n) be the second derivative of -1/10*n**v + 0*n**3 + 31*n + 0 + 0*n**2 + 0*n**4 + 13/30*n**6. Factor u(o).
o**3*(13*o - 2)
Suppose -18*s + 13*s + 15 = 0. Suppose 5*k - s*r = 21, -3*r - 2*r = -5*k + 15. Factor 3*q**3 + 2*q - k*q**2 + 2*q - q.
3*q*(q - 1)**2
Let h be (-84)/42*9/(-2). Let o be 27/h + (-2)/6. What is k in -o*k + 0 + 2/3*k**2 = 0?
0, 4
Let h(v) be the first derivative of 0*v - 6*v**2 - 4/27*v**3 - 3/10*v**5 + 1/3*v**4 - 15. Let n(m) be the second derivative of h(m). Factor n(b).
-2*(9*b - 2)**2/9
Factor -324/5*f**2 + 0*f + 169/5*f**5 + 0 - 637/5*f**4 + 792/5*f**3.
f**2*(f - 1)*(13*f - 18)**2/5
Let z(f) be the second derivative of -1/6*f**3 - 1/12*f**4 - 1 + 2*f**2 + 1/80*f**5 - 6*f. Factor z(c).
(c - 4)*(c - 2)*(c + 2)/4
Factor 133/2*z**3 + 1/4*z**4 + 1359*z + 2085/4*z**2 + 1161.
(z + 2)*(z + 3)**2*(z + 258)/4
Let s(z) = -5*z**3 + 679*z**2 - 6*z + 3. Let y(j) = 4*j**3 - 680*j**2 + 4*j - 2. Let v(g) = 2*s(g) + 3*y(g). Find q such that v(q) = 0.
0, 341
Let r(m) = 7*m + 30. Let p be r(-4). Suppose -p = -5*y + 8. Factor 10*n**y - 13*n**2 + 0*n**2.
-3*n**2
Let k(o) be the second derivative of o**7/1512 - o**6/1080 + 22*o**4/3 + o**3/3 + 44*o. Let a(x) be the third derivative of k(x). Suppose a(i) = 0. Calculate i.
0, 2/5
Let h(i) be the second derivative of 12/5*i**5 - 1 - 2/15*i**6 - 6*i + 0*i**2 + 0*i**3 + 0*i**4. Factor h(n).
-4*n**3*(n - 12)
Find j, given that 1/3*j**2 + 36 - 8*j = 0.
6, 18
Let i(w) be the third derivative of -5*w**5/12 + 635*w**4/8 - 190*w**3/3 + 790*w**2. Factor i(p).
-5*(p - 76)*(5*p - 1)
Let p be 4/(-72) - (-1614)/28620. Let t = p - -791/4770. Let -1/12*o**5 - t*o**3 + 1/4*o**4 + 1/4*o - 1/6*o**2 - 1/12 = 0. Calculate o.
-1, 1
Let v be (((-2048)/112)/(-16))/2. Let h(r) be the first derivative of -v*r**3 - 13/28*r**4 - 1/42*r**6 + 15 + 0*r - 2/7*r**2 - 6/35*r**5. Factor h(c).
-c*(c + 1)**2*(c + 2)**2/7
Let i be 2 - 1*12*3. Let v = i - -58. Find c, given that 3*c**2 + 12*c + 0*c**2 - c - 28 + v = 0.
-4, 1/3
Let b = 18394/5 - 3691. Let d = b - -193/15. Factor -2/3*w + 0 - d*w**2.
-2*w*(w + 1)/3
Let y(j) be the first derivative of -4*j**5 - 10*j**4/3 + 55*j**3/6 + 15*j**2/2 + 26*j - 13. Let z(b) be the first derivative of y(b). Solve z(t) = 0 for t.
-1, -1/4, 3/4
Let p be -4 + 183/45 - (12 + 1040/(-48))/5. Factor 0 - 44/7*d + 158/7*d**p - 2*d**3.
-2*d*(d - 11)*(7*d - 2)/7
Let l be (-22)/(-10) - (48/(-6))/(-40). Solve -19*a**4 + 5*a**4 + 8*a**4 - 12*a**l - 3*a**5 + 8*a**4 + 4*a + 3*a**3 + 6*a**3 = 0 for a.
-2, 0, 2/3, 1
Factor 716*y**2 - 550*y - 408*y**3 + 80*y**4 - 1393973 + 8*y**4 + 1394129 - 2*y**5.
-2*(y - 39)*(y - 2)*(y - 1)**3
Let c be -2 + -3 - 3*(-68)/6. Suppose 0 = 46*m - c*m. Solve 4/3*p + m - 2*p**2 + 2/3*p**3 = 0.
0, 1, 2
Let p(t) be the second derivative of -2*t**7/2