- 200*m**3/7 - 69*m**2/2 - 2*m - 65. Let s(l) be the first derivative of c(l). Factor s(v).
-3*(v + 20)**2/7
Let c(q) be the second derivative of -q**4/8 - 847*q**3/2 - 2152227*q**2/4 + 3*q - 11. Find r, given that c(r) = 0.
-847
Let d be (-105)/14*(-32)/12 - 18. Factor -3*l + 8 - 1/2*l**d.
-(l - 2)*(l + 8)/2
Let j(i) be the first derivative of i**2/2 + 8*i - 5. Let x be j(-3). Factor -2 - 2*s + 0*s**5 - 4*s**x - 2*s**4 + 4*s**3 + 2*s**5 + 0*s**5 + 4*s**2.
-2*(s - 1)**2*(s + 1)**3
Let r(c) be the first derivative of -3/4*c**4 + 82 + 1536*c - 288*c**2 - 30*c**3. Factor r(h).
-3*(h - 2)*(h + 16)**2
Let x(g) be the second derivative of 11*g**7/7 + 259*g**6/10 + 321*g**5/2 + 1769*g**4/4 + 468*g**3 + 216*g**2 - 18*g - 12. Let x(d) = 0. Calculate d.
-4, -3, -1/2, -3/11
Let p(u) be the second derivative of 0*u**2 - 25/6*u**4 + 2/3*u**3 - 28 - 2*u. Find l such that p(l) = 0.
0, 2/25
Suppose 23*o = 32*o. Suppose 5*z - 184 + 4 = o. Suppose -21*x**4 + z*x**5 - 21*x**5 + 0*x**3 + 6*x**3 = 0. What is x?
0, 2/5, 1
Let h(f) = -f**2 - 8*f**2 - 306 + 5*f + 302. Let n(b) be the first derivative of -b**3/3 + b**2/2 - b - 4. Let t(p) = 5*h(p) - 40*n(p). Factor t(y).
-5*(y - 1)*(y + 4)
Let n(h) be the third derivative of -h**9/3780 + h**8/560 + h**7/630 - h**6/60 + 9*h**4/4 - 18*h**2. Let s(b) be the second derivative of n(b). Solve s(v) = 0.
-1, 0, 1, 3
Let i be (-18)/(-10)*((-24)/120 + (-14)/(-45)). What is l in 6/5*l**2 + 0*l - l**3 + 0 - 2/5*l**4 + i*l**5 = 0?
-2, 0, 1, 3
Suppose y - 3*y = -18. Let b be (2 - y/6)/((-2)/(-120)). Factor b*n**3 - 11*n**3 - 4*n**2 - 15*n**3 - n**4.
-n**2*(n - 2)**2
Let h = -122881 - -122883. Suppose 4*l + 2/11*l**h + 42/11 = 0. Calculate l.
-21, -1
Let j(m) = 86*m**2 + 596*m - 40. Let o be j(-7). Solve 87/5*s + 24/5*s**o - 36/5 = 0.
-4, 3/8
Let v(c) = 2705*c**4 - 10607*c**3 + 9990*c**2 + 815*c + 17. Let q(f) = f**4 + f**3 + 2*f**2 - f + 1. Let l(b) = q(b) - v(b). Solve l(n) = 0 for n.
-1/26, 2
Let a(y) be the first derivative of -y**4 + 76*y**3 - 622*y**2 + 1020*y - 2146. Suppose a(u) = 0. What is u?
1, 5, 51
Factor 3*x**3 + 4*x + 0 + 6 - 5*x - 6*x**2 - 2*x.
3*(x - 2)*(x - 1)*(x + 1)
Let m be (28/(-147))/(6 - ((-5)/15 - -7)). Factor 2/21*d + m - 2/7*d**2 - 2/21*d**3.
-2*(d - 1)*(d + 1)*(d + 3)/21
Let t(y) = -y**4 - 70*y**3 + 199*y**2 + 789*y - 7. Let h(r) = 2*r**4 + 116*r**3 - 332*r**2 - 1316*r + 12. Let x(q) = -7*h(q) - 12*t(q). Factor x(s).
-2*s*(s - 8)**2*(s + 2)
Factor -6966 + 19*h**3 - 10*h**3 - 4626*h - 9*h**3 + 2*h**3 - 762*h**2.
2*(h - 387)*(h + 3)**2
Let r = -196 + 203. Determine d, given that -39 - 21*d**2 + 15 - 83*d - r*d = 0.
-4, -2/7
Let s(i) be the third derivative of 0*i + 1/140*i**7 + 4*i**2 - 1/10*i**5 + 4 - 1/120*i**6 + 3/8*i**4 - 7/12*i**3. Find x such that s(x) = 0.
-7/3, 1
Let i(x) be the second derivative of -5*x**4/12 + 25*x**3/4 + 135*x**2/4 + 2926*x. Factor i(p).
-5*(p - 9)*(2*p + 3)/2
Let j(h) = 13*h**3 - 12*h**2 - 24*h - 16. Let x(n) = 5*n**3 - 6*n**2 - 12*n - 8. Let w(s) = -6*j(s) + 15*x(s). Find i, given that w(i) = 0.
-2
Let j = -4/37547 - -3041323/150188. Factor j*c + 3/8*c**2 + 2187/8.
3*(c + 27)**2/8
Let b be (1406/(10 + 27) + -38)*1*-1. What is i in b + 4/3*i + 2/9*i**2 = 0?
-6, 0
Solve -55/6*w - 5/6*w**2 - 15 = 0 for w.
-9, -2
Let v = 5825 + -5830. Let q(a) = -26*a**2 - 5*a - 7. Let n(y) = 0 + 14*y**2 + 3*y**2 + 3*y + 5. Let i(x) = v*q(x) - 7*n(x). Factor i(s).
s*(11*s + 4)
Let a(p) be the second derivative of 3/20*p**6 + 4 - 5*p - 39/40*p**5 + 19/8*p**4 - 11/4*p**3 + 3/2*p**2. Solve a(l) = 0.
1/3, 1, 2
Determine s so that -236/3*s**3 - 22*s**4 + 238/3*s + 58 - 2/3*s**5 - 36*s**2 = 0.
-29, -3, -1, 1
Let y(i) = 3*i**2 + i - 18. Let o be y(-10). Let b = o - 269. Factor 9/7*u - 3/7*u**b + 0*u**2 - 6/7.
-3*(u - 1)**2*(u + 2)/7
Suppose 579/7*r**4 + 14559/7*r**2 + 3174/7*r + 7596/7*r**3 + 12/7*r**5 + 0 = 0. Calculate r.
-23, -2, -1/4, 0
Let w = 5699 + -5695. Let y(i) be the first derivative of 1/12*i**w - 4 + 0*i - 1/2*i**2 - 2/9*i**3. Let y(u) = 0. Calculate u.
-1, 0, 3
Suppose 1377*d = -14*y + 1375*d + 52, 36 = 3*d. Factor 12/5 - 1/5*p**3 + 0*p**y + 13/5*p.
-(p - 4)*(p + 1)*(p + 3)/5
Let q(v) be the second derivative of -2/15*v**4 + 2/5*v**2 + 7/15*v**3 + 0 + 83*v. Factor q(a).
-2*(a - 2)*(4*a + 1)/5
Suppose -4*j + 133 = 133. Let i(v) be the third derivative of 1/15*v**5 + 25*v**2 + 1/30*v**6 + j + 0*v - 1/3*v**4 + 0*v**3. Factor i(c).
4*c*(c - 1)*(c + 2)
Let q(z) be the first derivative of z**4/6 + 220*z**3 + 108900*z**2 + 23958000*z + 83. Find g, given that q(g) = 0.
-330
Let a(q) = 2*q + 23. Let w be a(-9). Find z, given that 7*z + 5*z**5 - 5 - 20*z**3 + z + 7*z - w + 10*z**2 = 0.
-2, -1, 1
Let l be ((-42)/(-63))/((-11)/(-110)). Let v(n) be the first derivative of 100/3*n + 4/9*n**3 + l*n**2 + 32. Let v(o) = 0. Calculate o.
-5
Let z be 4/6 - 888/(-18). Let x = z + -29. Solve 5*y**3 + 16*y**4 - 52*y**4 + x*y**4 + 20*y**4 = 0.
-1, 0
Let g(m) be the third derivative of -m**5/140 + 19*m**4/56 + 33*m**3/7 - 3*m**2 + 253. Factor g(n).
-3*(n - 22)*(n + 3)/7
Let t(j) = -j**3 - 33*j**2 + 33*j - 49. Let m be t(-34). Let d be 9/15 - m/25. Factor d*n + 9/5 + 1/5*n**2.
(n + 3)**2/5
Suppose -389*a + 394*a = 15. Factor 24*h**2 - 5*h + h**a - h + 6*h + 2*h**3.
3*h**2*(h + 8)
Let m(o) be the first derivative of -2/9*o**3 + 4/3*o**2 + 8*o - 118. Factor m(k).
-2*(k - 6)*(k + 2)/3
Suppose -35*o = 4*v - 33*o + 152, -4*v - 140 = -o. Let k be -128*(11/(-28) - 9/v). Factor -k*u - 96/7*u**2 - 4/7*u**4 + 512/7 + 40/7*u**3.
-4*(u - 4)**3*(u + 2)/7
Let b(i) be the first derivative of 81 + 3*i**4 + 0*i**2 + 24*i**3 + 0*i - 4/5*i**5. Solve b(y) = 0.
-3, 0, 6
Let c be 90864/2184 + 7/(-2)*12/91. Solve -c - 146/7*t**2 - 6/7*t**3 - 912/7*t = 0 for t.
-12, -1/3
Suppose 0 = -5*y + 20, -15*y = -t - 10*y - 10. Let q(s) be the first derivative of 4/21*s**2 - 1/14*s**4 + 0*s**3 + 2/105*s**5 - t + 0*s. Factor q(i).
2*i*(i - 2)**2*(i + 1)/21
Let b(o) be the second derivative of -o**5/12 - 15*o**4 + 157*o**2 + o - 46. Let y(v) be the first derivative of b(v). Let y(d) = 0. Calculate d.
-72, 0
Factor 59/9*c - 5/9*c**2 - 44/9.
-(c - 11)*(5*c - 4)/9
Let r(h) be the third derivative of h**7/4200 - h**5/150 + 125*h**3/6 + 14*h**2 + 2. Let s(z) be the first derivative of r(z). Suppose s(v) = 0. What is v?
-2, 0, 2
Let b(a) be the second derivative of 13*a**4/48 + 305*a**3/6 - 47*a**2/2 - 31*a + 18. Factor b(v).
(v + 94)*(13*v - 2)/4
Let h be 17/(-85)*(-1 + (-180)/(-178)). Let y = 1333/890 - h. Determine v, given that v**4 + 0*v - 3/2*v**5 + 0 + y*v**3 - v**2 = 0.
-1, 0, 2/3, 1
Let i(v) = -v**3 - 2*v**2 - v - 7. Let c be i(0). Let w = c - -15. Factor 1 - 6 + 4*p**5 - 3 + 8*p + w*p**2 + 4*p - 16*p**3.
4*(p - 1)**3*(p + 1)*(p + 2)
Let a = -201 - -201. Let h(d) = -2*d**3 + 4*d. Let s be h(a). Factor -4/3*k**2 + s*k + 2/3*k**5 + 0 - 8/3*k**4 + 10/3*k**3.
2*k**2*(k - 2)*(k - 1)**2/3
Let z be (36/(-45))/(38630/9655 + -4). Let h = 776 + z. What is r in 27/5 - h*r + 3/5*r**2 = 0?
3
Let r(g) be the third derivative of g**6/60 + 41*g**5/15 + 1505*g**4/12 - 7396*g**3/3 - 727*g**2. Factor r(z).
2*(z - 4)*(z + 43)**2
Let r(u) be the third derivative of -u**7/5040 - u**6/180 - 67*u**3/6 + 2*u**2 - 106. Let f(x) be the first derivative of r(x). Solve f(b) = 0 for b.
-12, 0
Let h(i) be the second derivative of i**5/40 - 65*i**4/4 + 4225*i**3 - 549250*i**2 + 5459*i. Factor h(n).
(n - 130)**3/2
Let w(a) = -a**2 - 9241*a - 64636. Let g be w(-7). What is h in 1/6*h**g + 3 + 11/6*h = 0?
-9, -2
Factor 68 + 2*h**3 - 249*h + 328*h**2 + 35*h - 192*h + 8*h**3.
2*(h - 1)*(h + 34)*(5*h - 1)
Let g(b) be the second derivative of 66*b**2 + 0 + 64/3*b**3 - 94*b - 1/3*b**4. Solve g(f) = 0 for f.
-1, 33
Suppose 176 + 614 = 395*y. Suppose -4/9*b + 8/9*b**5 + 22/9*b**y + 0 - 2/9*b**4 - 8/3*b**3 = 0. Calculate b.
-2, 0, 1/4, 1
Let j be (-55)/(-66)*-29*320/(-1000). Factor -1682/15 + j*t - 2/15*t**2.
-2*(t - 29)**2/15
Let -c + 31*c**2 + 3220 + c**3 - 6473 + 3222 = 0. Calculate c.
-31, -1, 1
Let l(i) be the third derivative of i**6/600 - i**5/5 + 59*i**4/120 - 6150*i**2. Factor l(d).
d*(d - 59)*(d - 1)/5
Let j(l) be the third derivative of -24*l**5 - 23/30*l**6 - 675/2*l**4 - 1125*l**3 - 1 + 0*l + 23*l**2 - 1/105*l**7. Factor j(u).
-2*(u + 1)*(u + 15)**3
Let s be 50/6 + 172/(-129