1 + 40*k**2/7 + 24*k/7 - 195. Factor t(l).
-2*(l - 6)*(l + 1)*(5*l + 2)/7
Let b = 1739 + -1739. Let l(q) be the first derivative of -1/7*q**3 + b*q**2 + 3/7*q - 11. Solve l(y) = 0.
-1, 1
Factor 74*k**4 + 62192*k - 1720*k**3 + 746*k**2 + 9030*k**2 + 4*k**5 + 70304 + 0*k**5 - 5*k**5.
-(k - 26)**3*(k + 2)**2
Suppose -u + 492 - 480 = 0. Let -u*n**3 + 12*n - 3 + 39/4*n**2 - 27/4*n**4 = 0. Calculate n.
-2, -1, 2/9, 1
Factor -2*g**2 + 27*g + 116 + 12*g + 13*g + 2*g.
-2*(g - 29)*(g + 2)
Let g(x) be the second derivative of -2*x + 0*x**2 + 0 - 1/3*x**4 + 4/3*x**3. Factor g(o).
-4*o*(o - 2)
Suppose -10*x + 15*x - 12 = 4*n, -4 = 2*n - 2*x. Let i(z) be the second derivative of 2/3*z**n - 1/18*z**4 + 0 - 1/9*z**3 - 2*z. Find j such that i(j) = 0.
-2, 1
Let q(j) be the second derivative of 3/2*j**3 + 15*j + 0*j**2 + 0 + j**4 + 3/20*j**5. Factor q(b).
3*b*(b + 1)*(b + 3)
Let d(f) be the first derivative of f**4 - 360*f**3 + 48600*f**2 - 2916000*f + 85. Suppose d(m) = 0. Calculate m.
90
Let v = -6279/10 + 628. Let t(l) be the third derivative of 0*l + 0*l**3 + v*l**5 + 1/6*l**4 + 9*l**2 - 1/12*l**6 + 0. Factor t(d).
-2*d*(d - 1)*(5*d + 2)
Find v such that -5/3*v**3 - 1/3*v**4 + 8 - 2/3*v**2 + 20/3*v = 0.
-3, -2, 2
Let o be 20/5 - (5 + -4). Let w(s) be the first derivative of 2/7*s**5 + 11/7*s**2 + 2*s**o + 17/14*s**4 - 2 + 4/7*s. Find d, given that w(d) = 0.
-1, -2/5
Factor 7423*j**2 + 21*j + 3*j - 7426*j**2.
-3*j*(j - 8)
Suppose -6*g - 88 = -2*g. Let k be (-24)/(-110) - (2 - (-48)/g). Factor k*f**5 + 0 + 0*f + 6/5*f**4 + 4/5*f**3 + 0*f**2.
2*f**3*(f + 1)*(f + 2)/5
Let j(n) = -2*n**2 - 16*n - 2. Suppose 10 = 5*x + 40. Let r(o) = -o + 1. Let k(t) = x*r(t) + j(t). Factor k(y).
-2*(y + 1)*(y + 4)
Suppose 9 = -2*j - 3*j - 3*p, 5*p + 15 = j. Let b = 1289 - 1289. Factor 0 + 2/9*u**5 - 2/9*u**3 + b*u**2 + j*u**4 + 0*u.
2*u**3*(u - 1)*(u + 1)/9
Suppose 0 = m - 184 + 93 + 89. Factor 4/3*t + 1 + 1/3*t**m.
(t + 1)*(t + 3)/3
Let v(l) be the second derivative of -5*l**4/6 + 55*l**3/6 - 25*l**2/2 - 572*l. Let v(w) = 0. What is w?
1/2, 5
Let w(h) be the first derivative of 2*h**3/33 + 19*h**2/11 + 40. Factor w(x).
2*x*(x + 19)/11
Let -i**3 - 4/3*i + 2/3*i**4 + 1/3*i**5 + 0 - 8/3*i**2 = 0. Calculate i.
-2, -1, 0, 2
Solve -899/4*r + 59/4*r**2 + 841/4 - 1/4*r**3 = 0 for r.
1, 29
Let u(x) be the third derivative of -x**5/360 - 3*x**4/4 - 107*x**3/36 + 166*x**2 + 2*x. Factor u(j).
-(j + 1)*(j + 107)/6
Suppose 2*s + s + j - 42 = 0, 4*j - 14 = -s. Determine y, given that -6*y**5 - s*y**5 - 17*y**4 - 8*y**2 + 4*y**5 - 36*y**3 - 31*y**4 = 0.
-2, -1/2, 0
Let a be (1482/60 - 1)*(-10)/(-15) - 3. Suppose 2/5*x**3 + 12/5*x**2 + 0*x - a = 0. What is x?
-4, 2
Let v(x) be the third derivative of x**7/70 - 13*x**6/40 + 47*x**5/20 - 59*x**4/8 + 12*x**3 + 4*x**2 - 2. Solve v(k) = 0.
1, 3, 8
Let w(h) = 10*h**3 + 890*h**2 + 3465*h - 4410. Let k(b) = b**3 + 81*b**2 + 315*b - 401. Let o(q) = 45*k(q) - 4*w(q). Factor o(r).
5*(r - 1)*(r + 9)**2
Let o(s) be the first derivative of 2*s**5/125 + 7*s**4/25 + 22*s**3/75 - 26*s**2/25 - 241. Suppose o(t) = 0. What is t?
-13, -2, 0, 1
Factor -16*d + 1413*d**2 - 2823*d**2 - 14 + 1408*d**2.
-2*(d + 1)*(d + 7)
Let j(r) = -180*r**3 - 195*r**2 + 1705*r - 390. Let h(g) = 14*g**3 + 15*g**2 - 131*g + 30. Let i(u) = -40*h(u) - 3*j(u). Let i(z) = 0. What is z?
-3, 1/4, 2
Let d = -120 + 123. Let c(v) be the second derivative of 5*v + 0 + 0*v**2 + 0*v**d + 1/60*v**5 - 1/18*v**4. Solve c(b) = 0 for b.
0, 2
Let v be (48/(-85))/(-2) - (-156)/1326. Determine j, given that v*j**2 + 4/5*j + 2/5 = 0.
-1
Factor -52*x**3 + 3*x**4 + 3 + 117 + 126*x**2 + 204*x + 85*x**3.
3*(x + 2)**3*(x + 5)
Let m be (-4)/(-6) + 102/9. Find b such that 2*b**3 + 12*b**2 - 19*b - m*b**4 + 36*b - 2*b**5 - 18*b**3 + b = 0.
-3, -1, 0, 1
Let k(h) be the second derivative of 4/27*h**4 + 1/135*h**6 - h**2 + 0 - 2/9*h**3 - 9*h + 1/15*h**5. Suppose k(x) = 0. Calculate x.
-3, -1, 1
Let l(o) be the third derivative of -o**8/1176 + o**7/147 - o**6/140 - 17*o**5/210 + o**4/3 - 4*o**3/7 - 430*o**2. What is y in l(y) = 0?
-2, 1, 2, 3
Let d be (-2)/8 + 0 - (-50)/8. Find h, given that -d*h**3 + h**4 + 8*h - 5*h**4 + 4*h**4 - 2*h**4 = 0.
-2, 0, 1
Let i(h) be the third derivative of -h**6/360 + 4*h**5/45 + 127*h**4/72 + 55*h**3/9 + 14*h**2 + 39. Factor i(q).
-(q - 22)*(q + 1)*(q + 5)/3
Let i(g) = g**2 - 4*g + 3. Let s be i(-6). Let p be 24/s*2/((-12)/(-7)). Factor 0*m**2 - 2/9 - p*m + 2/9*m**4 + 4/9*m**3.
2*(m - 1)*(m + 1)**3/9
Let i(g) = g**4 + 2*g**3 - 7*g**2 + 4*g - 4. Let z(s) = -2*s**4 - 3*s**3 + 12*s**2 - 7*s + 7. Let l(d) = -7*i(d) - 4*z(d). Factor l(v).
v**2*(v - 1)**2
Solve 1/3*r**2 + 4/3*r - 1/3*r**3 - 4/3 = 0 for r.
-2, 1, 2
Find g such that -4/5 - g**2 + 12/5*g = 0.
2/5, 2
Let d(t) be the second derivative of -1/14*t**7 + 0 - 8*t - 1/2*t**3 + 3/10*t**5 - 1/10*t**6 + 1/2*t**4 - 3/2*t**2. Factor d(n).
-3*(n - 1)**2*(n + 1)**3
Suppose d = -3*l + 5, 5*d + 0*l = -4*l + 14. Factor 4/7 - 2/21*f**d + 2/21*f.
-2*(f - 3)*(f + 2)/21
Determine w so that 3*w**2 - 4 + 12*w - 63 + 4 = 0.
-7, 3
Let o(h) be the first derivative of 0*h**2 + 2/11*h**4 - 2/33*h**3 + 0*h - 2/11*h**6 + 5 - 2/55*h**5. Find t, given that o(t) = 0.
-1, 0, 1/3, 1/2
Suppose -69 = k + 28. Let u = k + 295/3. Let u*f**3 + 0 - 5/3*f**2 + 2/3*f - 1/3*f**4 = 0. What is f?
0, 1, 2
Let p(d) be the third derivative of d**7/630 + d**6/45 + d**5/10 + 3*d**4/8 - 16*d**2. Let l(o) be the second derivative of p(o). Factor l(u).
4*(u + 1)*(u + 3)
Let n(b) be the first derivative of -b**6/18 - 7*b**5/12 - 25*b**4/12 - 5*b**3/2 - 7*b + 9. Let m(v) be the first derivative of n(v). Factor m(x).
-5*x*(x + 1)*(x + 3)**2/3
Let o(j) be the third derivative of -j**9/11340 - j**8/1260 - 2*j**7/945 + j**4/3 - j**2. Let z(i) be the second derivative of o(i). Factor z(l).
-4*l**2*(l + 2)**2/3
Suppose -4*f - 36 = -3*f. Let i be 14/f*(0 + -24)/6. Factor -2*l**2 + i*l + 4/9.
-2*(l - 1)*(9*l + 2)/9
Let t(o) be the third derivative of -o**7/840 - o**6/160 - o**5/240 + o**4/32 + o**3/12 + 14*o**2 - 8*o. Factor t(z).
-(z - 1)*(z + 1)**2*(z + 2)/4
Let u(i) be the first derivative of 1/28*i**4 + 9/14*i**2 - 2 - 3*i - 2/7*i**3. Let h(n) be the first derivative of u(n). What is w in h(w) = 0?
1, 3
Suppose -2*g = 2*j - 6, -18*j + 2*g = -16*j + 6. Determine v so that 2/11*v**2 - 8/11 + j*v = 0.
-2, 2
Suppose 0 = -3*y - 0*y. Suppose y*q + 2 = q. Factor -q*z**2 + 52*z**3 - 52*z**3 + 2*z**4.
2*z**2*(z - 1)*(z + 1)
Let c(q) = q**3 - 5*q**2 + 2*q - 7. Let k be c(5). Let n be (156/(-195))/((-12)/10). Factor -2/9*p**k - 8/9 + n*p**2 + 0*p.
-2*(p - 2)**2*(p + 1)/9
Let u(q) be the second derivative of 1/2*q**4 + 0 - 1/20*q**5 + 0*q**2 + 7/6*q**3 - 5*q. Suppose u(m) = 0. Calculate m.
-1, 0, 7
Factor -119*a**3 - 3*a**2 + 122*a**3 + 9*a**2 - 18 - 15*a.
3*(a - 2)*(a + 1)*(a + 3)
Let o(v) be the second derivative of -3*v**5/5 + 11*v**4/3 + 32*v**3 - 72*v**2 + 918*v. Solve o(a) = 0 for a.
-3, 2/3, 6
Let z(m) = 2. Let j(n) = -3*n**2 - 66*n - 4. Let k(g) = j(g) + 2*z(g). Factor k(l).
-3*l*(l + 22)
Let h = 260 + -260. Let i(v) be the second derivative of 11*v - 10*v**2 - 35/12*v**4 + 40/3*v**3 + h. Suppose i(a) = 0. What is a?
2/7, 2
Let k(p) = p**2 + 59*p + 633. Let h be k(-45). Suppose 0*c**2 + 0 + 2/5*c**4 + 0*c - 4/5*c**h + 2/5*c**5 = 0. Calculate c.
-2, 0, 1
Suppose a + 63 = 10*a. Suppose 5*l = 0, -a*l = -4*i - 2*l. Factor 4/3*b**5 + 4/3*b**3 + 8/3*b**4 + i*b**2 + 0*b + 0.
4*b**3*(b + 1)**2/3
Let q(y) be the first derivative of 2*y**5/95 + 3*y**4/19 + 8*y**3/19 + 8*y**2/19 - 70. Let q(v) = 0. What is v?
-2, 0
Let i(u) be the first derivative of -u**5/20 + 3*u**4/8 - u**3 - 9*u**2 - 22. Let g(a) be the second derivative of i(a). Factor g(s).
-3*(s - 2)*(s - 1)
Let z(n) be the second derivative of -n**7/126 + n**6/90 + n**5/60 - n**4/36 + 49*n. Factor z(j).
-j**2*(j - 1)**2*(j + 1)/3
Factor -838*j + 1639*j - 2*j**2 - 857*j.
-2*j*(j + 28)
Let l(m) = 6*m**4 + 30*m**3 + 68*m**2 + 52*m. Let a(u) = 5*u**4 + 30*u**3 + 70*u**2 + 51*u. Let h(f) = -4*a(f) + 3*l(f). Factor h(d).
-2*d*(d + 1)*(d + 2)*(d + 12)
Find h such that 1/6*h**2 + 0 - 1/2*h**3 + 0*h = 0.
0, 1/3
Suppose 8*w = 92 + 60. Suppose -5*d + 0 = -10. Solve -2*u**4 + 17*u + 3*u**d - w*u + u**4 = 0 for u.
-2, 0, 1
Suppose 58*l**4 - l**5 - 5*l**5 +