be the first derivative of -12*m + 101 - 16/9*m**3 - 7*m**2 - 1/6*m**4. Factor l(k).
-2*(k + 2)*(k + 3)**2/3
Factor -430 + 1960*f**4 - 2898*f**3 - 189*f + 343*f**5 + 246 + 184 + 1296*f**2.
f*(f + 7)*(7*f - 3)**3
Suppose -4*j = 7*j + 470 - 536. Let c(g) be the third derivative of 0*g + 1/5*g**3 - 1/120*g**4 + 0 - 1/75*g**5 - 1/600*g**j + 10*g**2. Factor c(d).
-(d - 1)*(d + 2)*(d + 3)/5
Suppose -5*j = -33 + 18. Solve 419*o**2 - 831*o**2 - 13*o - o**j + 6 + 420*o**2 = 0.
1, 6
Let b(z) be the third derivative of z**6/60 + 101*z**5/15 + 199*z**4/4 + 4*z**2 - 6*z + 1. Let b(q) = 0. Calculate q.
-199, -3, 0
Let -1/3*m**3 + 0*m + 0 + 5*m**2 = 0. What is m?
0, 15
Let l(i) = 11*i**2 - 34*i + 8. Let o(w) = -795*w + 793*w - 5 - 3. Let k be o(-5). Let x(q) = 10*q**2 - 34*q + 8. Let s(y) = k*l(y) - 3*x(y). Factor s(b).
-2*(b - 4)*(4*b - 1)
Determine d so that -206/5*d**3 + 992/5*d + 128 - 2/5*d**5 + 106/5*d**2 + 38/5*d**4 = 0.
-1, 5, 8
Let c(p) be the second derivative of 82*p + 14045/6*p**2 + 5/36*p**4 + 265/9*p**3 + 2. Solve c(h) = 0.
-53
Let i = -88 - -105. Factor 45*k + 20*k - i*k**2 + 14*k**2 + 8*k**2.
5*k*(k + 13)
Let k = -43 + 45. Suppose -14 - k = -4*j. Let 15*b**3 - 2 - 14*b + 50*b**j - 48*b**2 - 6*b + 5*b**3 = 0. What is b?
-1, -1/5, 1
Suppose -3*n - 42 = 0, -o - 12760 + 12776 = -n. Factor -o*p**2 - 16/5*p - 6/5.
-2*(p + 1)*(5*p + 3)/5
Let o = -1612 - -22555/14. Let p = -3/7 - o. Solve 0 - p*q**3 + 1/2*q + 1/2*q**4 - 1/2*q**2 = 0 for q.
-1, 0, 1
Suppose -5*x + 12*x = -70. Let m be -5*(4 - (-48)/x). Factor 2 - 16*r**3 - 12*r**2 + 36*r + 0*r**3 - 6 - m.
-4*(r - 1)*(r + 2)*(4*r - 1)
Let v = -208 - -214. Let x be (-156)/48 + -2 + v. Determine j so that -3/8*j + x*j**3 - 3/8*j**5 + 0 + 0*j**2 + 0*j**4 = 0.
-1, 0, 1
Let v = 10691801837/1505 - 7104187. Let n = 4/215 + v. Suppose 0 - n*s**3 + 0*s + 1/7*s**2 = 0. Calculate s.
0, 1/2
Let m(z) be the third derivative of -z**5/300 + 33*z**4/20 - 3267*z**3/10 - 46*z**2 - 10*z. Let m(v) = 0. What is v?
99
Let p(r) = -11*r**2 + 2. Let w(n) = 35*n**2 + n - 7. Suppose 0 = c - 29 + 36. Let u(h) = c*p(h) - 2*w(h). Suppose u(x) = 0. Calculate x.
0, 2/7
Let m(n) be the first derivative of 3*n**4/28 + 2*n**3/7 - 96*n**2/7 - 384*n/7 - 840. Solve m(f) = 0 for f.
-8, -2, 8
What is j in 46*j - 7/3*j**2 + 40/3 = 0?
-2/7, 20
Let q(m) be the second derivative of -m**7/14 + 2*m**6/5 + 153*m**5/20 + 45*m**4/2 - 29*m - 69. Let q(y) = 0. Calculate y.
-3, 0, 10
Let o(p) = p**2 + 31*p - 99. Let h be o(3). Let b(l) be the third derivative of -7/12*l**5 + 0 + 20*l**2 + 5*l**h + 0*l - 95/24*l**4. Factor b(z).
-5*(z + 3)*(7*z - 2)
Let y be -12*(-1 - -2)*13/(-26). Suppose -4*j + 14 = y. Find g, given that 24*g - 14*g**2 - g**4 + 18*g**j - 16*g**3 + 0*g**4 + 5*g**4 = 0.
-1, 0, 2, 3
Solve -1081*l**2 + l**5 + 1109*l**2 - 52*l**3 + 3*l**5 + 20*l**4 = 0.
-7, 0, 1
Let b = 116 - 114. Find i, given that 11*i**b - 2*i**2 + 35*i - 6*i + 6 = 0.
-3, -2/9
Let b(y) = -y**3 - 297*y**2 - 870*y - 546. Let a(x) = 148*x**2 + 436*x + 272. Let v(g) = -7*a(g) - 4*b(g). Solve v(p) = 0 for p.
-35, -2, -1
Factor -7452/7*l**3 - 25864170588/7*l - 20824614/7*l**2 - 12046237451361/7 - 1/7*l**4.
-(l + 1863)**4/7
Factor 1681*x**2 + 1810*x**2 - 1763*x**2 + 36417*x**4 - 375*x + 84*x**4 - 23805*x**3 + 3447*x**2.
3*x*(23*x - 5)**3
Let z(c) be the third derivative of -c**6/24 + 11*c**5/12 - 25*c**4/4 + 2301*c**2. Let z(a) = 0. Calculate a.
0, 5, 6
Let u(k) = -k**3 + 11*k**2 - 11*k - 9. Let x be u(9). What is s in 0*s**2 + 2*s**2 + 5*s - 8*s**2 - 18*s + x - 14*s = 0?
-6, 3/2
Let a(y) = -y**2 - 2. Let v(j) = 14*j**2 + 8*j + 20. Suppose 3*q + x = -2*x - 42, 4*q + 2*x + 48 = 0. Let n(c) = q*a(c) - v(c). Factor n(r).
-4*r*(r + 2)
Let v(w) = 2*w - 6. Let q be v(0). Let c be q/(-18) + (-70)/(-6). Factor -18*m + 15 + c*m**2 + 6*m**2 - 15*m**2.
3*(m - 5)*(m - 1)
Let u = -12104 + 12111. Let m(z) be the third derivative of 0*z**4 + 0*z**3 + 0*z**5 + 22*z**2 + 1/70*z**u + 1/8*z**6 + 0 + 0*z. Factor m(l).
3*l**3*(l + 5)
Let r(j) be the first derivative of 1156*j**6/45 + 11152*j**5/75 + 8237*j**4/30 + 6074*j**3/45 - 248*j**2/5 + 24*j/5 - 168. Determine l, given that r(l) = 0.
-2, -1, 3/34
Let s be (2790/18600)/((-1)/(-4)). Solve 33/5 - s*o**2 + 6*o = 0 for o.
-1, 11
Suppose 3 = 3*z, -5 = -d + 2*z - 3*z. Solve -5*w**d - w**5 + 225 - 2*w**5 - 285*w + 2*w**5 + 2*w**4 + 25*w**3 + 5*w**3 + 34*w**2 = 0 for w.
-5, 1, 3
Let x be 5*561/1320 - 2/(16/1). Suppose -3*k + 0 + 3/2*k**3 + 7/2*k**x = 0. Calculate k.
-3, 0, 2/3
Let w(v) be the second derivative of v**5/180 + 7*v**4/9 - 259*v**3/54 + 29*v**2/3 + 8*v - 88. Determine q so that w(q) = 0.
-87, 1, 2
Let n(f) be the second derivative of -f**7/105 + f**5/30 + 35*f**2/2 + 58*f. Let j(q) be the first derivative of n(q). Factor j(d).
-2*d**2*(d - 1)*(d + 1)
Let h(k) = -12*k**3 - 111*k**2 - 1525*k - 8102. Let a(d) = 14*d**3 + 114*d**2 + 1524*d + 8104. Let z(i) = 5*a(i) + 6*h(i). Let z(p) = 0. Calculate p.
-17, -14
Factor -104*m + 790*m + 93*m**2 - 9*m**2 - 316*m**3 + 314*m**3.
-2*m*(m - 49)*(m + 7)
Let o(n) = 2*n**2 - 84*n + 874. Let r(c) = -4*c**2 + 168*c - 1750. Let u = -139 + 135. Let l(d) = u*r(d) - 7*o(d). Factor l(w).
2*(w - 21)**2
Let s be (-1)/(-5 + 37/((-2553)/(-240))) + 2/10. Factor 78/7*x + s*x**3 - 40/7*x**2 - 36/7.
2*(x - 3)**2*(3*x - 2)/7
Factor 1/3*m**2 + 10*m + 104/3.
(m + 4)*(m + 26)/3
Let l be 24*(-7)/14 - -14. Let c(r) be the first derivative of -1/25*r**5 - 1/10*r**4 + 0*r + 0*r**l - 1/15*r**3 - 13. Factor c(h).
-h**2*(h + 1)**2/5
Suppose 4*f - 90*h - 8115 = -91*h, -3 = 3*h - 48. Factor -f - 1/4*n**2 + 45*n.
-(n - 90)**2/4
Let -20/9 - 614/9*c - 122/9*c**2 = 0. What is c?
-5, -2/61
Let m(y) be the third derivative of -1/4*y**4 + 1/180*y**6 - 91*y**2 + 0 - 1/15*y**5 + 0*y + 14/9*y**3. Let m(j) = 0. Calculate j.
-2, 1, 7
Let m(p) = 69*p - 1656. Let f be m(24). Let o(u) be the first derivative of 3/5*u**5 - u**3 + 3/4*u**4 - 3/2*u**2 + f*u + 13. Solve o(k) = 0.
-1, 0, 1
Suppose -26*s + 361 = -1667. Let x be (8/50)/(s/585). Factor 0*j - x*j**4 + 0 + 0*j**2 + 3/5*j**3 + 3/5*j**5.
3*j**3*(j - 1)**2/5
Let m be (477/(-72) + 6)*6/(-15). Let g = 50 + -197/4. Factor -m*z**2 + z - g.
-(z - 3)*(z - 1)/4
Let o(l) be the first derivative of -50*l**3/27 - 3*l**2 - 4*l/9 + 647. Factor o(s).
-2*(s + 1)*(25*s + 2)/9
Let l(a) = a**2 + 2. Let h(m) = -35 + 73*m - 25*m + 13 - 20*m. Let u(w) = -2*h(w) + 4*l(w). Solve u(z) = 0.
1, 13
Solve -216*p**3 - 1452 - 236789*p**2 + 238317*p**2 + p**5 + 220*p - 5*p**5 - 76*p**4 = 0 for p.
-11, -1, 1, 3
Let z(r) = 86*r**3 + 122*r**2 + 65*r - 3. Let b(t) = -689*t**3 - 975*t**2 - 533*t + 25. Let x(h) = 6*b(h) + 51*z(h). Find u such that x(u) = 0.
-1, -1/2, 1/42
Determine g, given that -240*g**3 - 27*g**4 + 12*g**2 + 20*g**4 + 291 + 960*g - 39*g**2 - 13*g**2 - 19 = 0.
-34, -2, -2/7, 2
Find m, given that -2/5*m**4 - 336/5*m**2 + 1088/5*m - 256 + 44/5*m**3 = 0.
4, 10
Let x(q) be the second derivative of -q**6/180 + q**5/3 - 11*q**4/9 - 520*q**3/3 - 2028*q**2 + 1147*q. Factor x(m).
-(m - 26)**2*(m + 6)**2/6
Factor 3*r**3 + 1/8*r**4 + 105*r + 107/4*r**2 + 1225/8.
(r + 5)**2*(r + 7)**2/8
Let b(y) be the second derivative of y**6/30 + 13*y**5/20 - 16*y**4 + 74*y**3/3 + 176*y**2 - 4448*y. Let b(v) = 0. What is v?
-22, -1, 2, 8
Suppose -5*t - 908 = z - 921, -25 = -5*t - 5*z. Factor 12/7*v + 22/7*v**t + 6/7*v**3 + 0.
2*v*(v + 3)*(3*v + 2)/7
Let y be ((-1)/4)/((-10)/10). Suppose -4 = -2*t - m + 7, 5*t + 4*m = 35. Factor -h - h**t + y*h**4 + 3/2*h**2 + 1/4.
(h - 1)**4/4
Let u(m) be the second derivative of 6 - 1/12*m**4 + m + 2*m**3 + 0*m**2. Find q such that u(q) = 0.
0, 12
Suppose -25*o + 12 = -21*o. Factor -r**5 + 5*r**5 - 36*r**2 + 48*r - 36*r**o + 52*r**2.
4*r*(r - 2)**2*(r + 1)*(r + 3)
Let o be 10/(-63) - (((-152)/18 - -8) + 0). Factor -o*g**3 - 10/7*g**2 + 2/7*g**4 + 0 - 6/7*g.
2*g*(g - 3)*(g + 1)**2/7
Let y = -119 + -271. Let j = y - -5072/13. What is u in 4/13*u**4 + 0 - 2/13*u**3 + j*u**5 + 0*u - 4/13*u**2 = 0?
-2, -1, 0, 1
Let r(n) = -58*n**3 - 744*n**2 - 2732*n - 1944. Let b(f) = 10*f**3 + 124*f**2 + 456*f + 324. Let a(z) = -17*b(z) - 3*r(z). Let a(p) = 0. Calculate p.
-27, -3, -1
Suppose -4 = -2*t, -3*t + t + 1 = -l. What is d in 5*d**3 - 6*d**3 - 7*d - 6 - 2*d**l - 12*d**2 - 8*d = 0?
-2, -1
Suppose 0 = -16*x + 