he first derivative of 0*v + 25/9*v**6 + 38/9*v**3 - 2/3*v**2 - 8 - 14/3*v**5 - n*v**4. Solve i(u) = 0 for u.
-1, 0, 1/5, 2
Let w(o) be the second derivative of 27*o**5/80 + 101*o**4/16 + 119*o**3/4 + 18*o**2 + 99*o - 1. Find d such that w(d) = 0.
-8, -3, -2/9
Let -352/5*a**3 + 4096/5 - 368/5*a**2 + 512*a + 5/2*a**5 + a**4 = 0. Calculate a.
-16/5, -2, 4
Let l(i) be the second derivative of 0*i**5 - 3/20*i**6 - 1/28*i**7 + 0*i**3 - 3 + 0*i**2 + i + 1/2*i**4. Factor l(d).
-3*d**2*(d - 1)*(d + 2)**2/2
Let -516*c + 21316 - 202*c**2 - 22*c**3 + 20*c**3 - 86*c**2 - 8041*c - 1517*c = 0. What is c?
-73, 2
Let v = 146497/4 + -36624. What is o in -4*o + v*o**2 - 17/4 = 0?
-1, 17
Let d(g) = 23*g**2 - 1033*g + 240. Let s(r) = -48*r**2 + 2064*r - 480. Let a(n) = 11*d(n) + 5*s(n). Factor a(l).
(l - 80)*(13*l - 3)
Let r(h) be the first derivative of h**5/15 + 2*h**4/3 + 4*h**3/3 - 16*h**2/3 - 64*h/3 - 3103. Determine v, given that r(v) = 0.
-4, -2, 2
Let w(s) be the first derivative of 2*s**3/9 + 35*s**2/3 - 24*s - 217. Factor w(h).
2*(h - 1)*(h + 36)/3
Let k be (-42)/(-147)*(142/32 + -4). Suppose -k*i**2 - 5/4 + 7/8*i = 0. Calculate i.
2, 5
Let v(t) be the third derivative of 11*t**2 - 121/21*t**3 - 1/210*t**5 + 0*t - 11/42*t**4 + 2. Factor v(f).
-2*(f + 11)**2/7
Let q(f) be the first derivative of -1/6*f**6 - 1/2*f**2 + 1/2*f**4 - 208 + 0*f + 0*f**5 + 0*f**3. Factor q(v).
-v*(v - 1)**2*(v + 1)**2
Let x be ((-6 - 7) + 17 - 1*4)/(-1). Let b(j) be the third derivative of 7/20*j**5 + 0*j**3 + x*j + 1/40*j**6 + 3/4*j**4 + 0 + 25*j**2. Factor b(f).
3*f*(f + 1)*(f + 6)
Suppose -5*a + 5*o = 0, -2*a + 16 = a + 5*o. Find b, given that -6*b - 7*b - b + 21*b**3 + 12 - 12*b**2 - 5*b**3 - a*b**5 = 0.
-3, -1, 1, 2
Let l(j) be the first derivative of -1/2*j**4 - 30 + 10/3*j**3 - 4*j**2 + 0*j. Factor l(i).
-2*i*(i - 4)*(i - 1)
What is d in 0*d**3 + 0*d - 66/7*d**4 + 0 + 0*d**2 + 3/7*d**5 = 0?
0, 22
Let a = 10/23 + -37/138. Suppose 3*s = -5*s + 9*s + 28*s. Suppose -a*i**2 + s - 1/6*i = 0. What is i?
-1, 0
Let s(i) be the second derivative of i**4/12 + 113*i**3/10 - 34*i**2/5 + 320*i. Factor s(g).
(g + 68)*(5*g - 1)/5
Let l(y) = y - 5. Let p(c) = -c + 4. Let x(t) = -4*l(t) - 3*p(t). Let k be x(4). Factor 2 - 2*f**2 - f**3 + 7*f - 1 - k - 1.
-(f - 1)**2*(f + 4)
Let y be (20 + 168/(-8))*-1 - -1. Find c, given that -6/5*c**y + 6/5*c - 2/5 + 2/5*c**3 = 0.
1
Let k(t) = t**2 + 9*t - 17. Let w be k(2). Suppose w*b = -2*d + d + 76, 5*d = -5*b + 80. Factor 110*y**3 - 2*y**5 + 50*y**4 + 7*y**5 + b*y**3.
5*y**3*(y + 5)**2
Let b(p) be the first derivative of p**4/36 - p**3/3 + 4*p**2/3 + 50*p - 9. Let w(l) be the first derivative of b(l). Factor w(x).
(x - 4)*(x - 2)/3
Suppose -5*t + a - 5*a = -15, 0 = 2*a. Let i be 2 - t/2*22*-1. Factor 87*w + 13*w + 4*w**2 + 86*w**2 + 5*w**4 + 40 + i*w**3.
5*(w + 1)*(w + 2)**3
Factor -59/3*n - 1061/9*n**2 + 0 + n**4 - 529/3*n**3.
n*(n - 177)*(3*n + 1)**2/9
Let v(w) be the first derivative of 79 + 9/5*w**5 + 0*w + 1/2*w**6 - 3*w**2 - 3*w**3 + 3/4*w**4. Factor v(q).
3*q*(q - 1)*(q + 1)**2*(q + 2)
Let g(i) be the second derivative of i**6/2160 - i**5/72 + i**4/16 + i**3/3 - 13*i**2/2 - 67*i. Let b(f) be the second derivative of g(f). Factor b(c).
(c - 9)*(c - 1)/6
Suppose 0 = 15*v - 5*v - 180. Let b be ((-1 - -2) + -1)*9/v. Suppose 2*x**3 + 10/11*x**4 + 2/11*x + b + 14/11*x**2 = 0. Calculate x.
-1, -1/5, 0
Let p be 6/9*(-5)/(10/6). Let n(y) = y**2 + y. Let h be n(p). What is l in 25*l - h - 5*l**2 + 12 - 10 = 0?
0, 5
Find b such that -574/17*b**3 - 6696/17*b - 432/17 + 3420/17*b**2 + 32/17*b**4 = 0.
-1/16, 6
Factor 243/2 - 1/4*u**2 - 9/4*u.
-(u - 18)*(u + 27)/4
Suppose l + o - 35 = 0, 14*l = -5*o + 141 + 214. Factor -4/5*s**3 - 12*s - 36/5*s**2 + l.
-4*(s - 1)*(s + 5)**2/5
Let t(n) be the third derivative of n**8/13440 + n**7/2520 - n**6/480 + n**4/3 - n**3/6 + 65*n**2. Let g(i) be the second derivative of t(i). Factor g(s).
s*(s - 1)*(s + 3)/2
Let b be (2 - (-2)/(-3))*(-27)/(-12). Factor -208*v**2 - 5*v**4 + 1288*v**3 - 40 + 4*v**5 - 1152*v**b - 35*v**4 + 148*v.
4*(v - 5)*(v - 2)*(v - 1)**3
Factor 9*o - 2486*o**3 + 24*o + 2485*o**3 - 2*o**2 - 30*o**2.
-o*(o - 1)*(o + 33)
Let r(l) = l**2 + 2*l + 3. Let h be r(-3). Suppose -h*b + 11 + 1 = 0. Factor -50 - 36 - 3*y**2 - 39 - 50*y - b*y**2.
-5*(y + 5)**2
Suppose -54*r + 59*r - 3*j = 32, -r + 16 = -3*j. Factor 36/7*f + 69/7*f**3 + 0 - 104/7*f**2 + 9/7*f**r.
f*(f + 9)*(3*f - 2)**2/7
Let s be 9/(-20)*-1 + 6186/8248. Factor 32/5*b - s*b**2 - 2/5*b**3 - 24/5.
-2*(b - 2)*(b - 1)*(b + 6)/5
Let -10*x**4 - 62/3*x**3 - 2/3*x + 0 - 34/3*x**2 = 0. Calculate x.
-1, -1/15, 0
Let j(u) = 2*u**2 - 9*u + 31. Let z be j(8). Factor 32*c**2 + 153*c + 42 - 112*c**4 + z*c**3 + 157*c**2 + 121*c**4.
3*(c + 1)**2*(c + 7)*(3*c + 2)
Let b = 476/1121 + -1090/7847. What is l in -1/7*l**2 + b*l - 1/7*l**3 + 0 = 0?
-2, 0, 1
Find g, given that 246*g**3 - 2*g**4 - 720*g**2 + 201 + g - 9*g + 759 = 0.
-1, 2, 120
Let w(s) = -45 - 10*s + 4*s + 5*s - 2*s. Let t be w(-15). Find c, given that 0 + 2/3*c**2 + t*c = 0.
0
Let t(o) = -87*o**2 - 831*o - 10. Let q(b) = 96*b**2 + 831*b + 11. Let m(j) = -10*q(j) - 11*t(j). Factor m(v).
-3*v*(v - 277)
Let r be (-12)/(-54) + 1051/9. Let f = -72 + r. Factor 35*y - f*y**2 - 5*y**3 - 57 - 48*y**2 + 113*y**2 + 7.
-5*(y - 5)*(y - 1)*(y + 2)
Let o(u) = -2*u**3 + 478*u**2 - 13250*u + 417. Let l be o(207). Factor -13/8*k**2 - 11/8 + 1/8*k**l + 23/8*k.
(k - 11)*(k - 1)**2/8
Let g(o) be the second derivative of o**6/75 + o**5/5 - o**4/10 - 32*o**3/15 - 4*o**2 + 1919*o. Find a such that g(a) = 0.
-10, -1, 2
Determine f, given that 0 - 134162*f + 518*f**2 - 1/2*f**3 = 0.
0, 518
Let q be -1*18/(-4 + -2). Suppose 22 + 4 + m**q + 13 + 28 - 11 + 18*m**2 + 60*m = 0. What is m?
-14, -2
Let t(o) be the second derivative of 5*o**7/42 - 19*o**6/2 + 210*o**5 - 980*o**4/3 - 2*o - 21. Factor t(v).
5*v**2*(v - 28)**2*(v - 1)
Let t(j) be the second derivative of 6*j + 1/80*j**5 - 17 + 1/120*j**6 - 13/24*j**3 - 3/4*j**2 - 7/48*j**4. Solve t(h) = 0 for h.
-2, -1, 3
Let l(y) be the first derivative of 1/20*y**4 + 0*y + 191 - 3/10*y**2 + 2/15*y**3. Factor l(i).
i*(i - 1)*(i + 3)/5
Let l(b) be the second derivative of 1/3*b**3 + 73*b + 1/30*b**6 + 1/5*b**5 + 0*b**2 + 5/12*b**4 + 0. Factor l(r).
r*(r + 1)**2*(r + 2)
Let t(o) be the first derivative of -o**4/4 + 4*o**3 + 31*o**2/2 - 42*o + 2319. Solve t(y) = 0 for y.
-3, 1, 14
Suppose -184*b + 28/3*b**5 + 524/3*b**3 - 224/3 + 1028/3*b**2 - 268*b**4 = 0. Calculate b.
-1, -2/7, 1, 28
Let o(f) = -4*f**4 - f**3 + 2. Let a(v) = -23*v**4 - 206*v**3 - 111*v**2 + 78*v + 4. Let m(b) = -a(b) + 2*o(b). Solve m(y) = 0.
-13, -1, 0, 2/5
Let y(o) be the second derivative of -18522*o**2 - 1/5*o**5 + 0 - 21*o**4 - 882*o**3 - 95*o. Factor y(v).
-4*(v + 21)**3
Let l = 28463/8141 - 411/1163. Factor l*v**2 + 2/7*v**5 - 6/7*v**4 + 8/7 - 2/7*v**3 - 24/7*v.
2*(v - 2)*(v - 1)**3*(v + 2)/7
Factor 144*d**2 + 3/2*d**3 + 1080*d + 2112.
3*(d + 4)**2*(d + 88)/2
Let z(v) be the second derivative of 0*v**4 + 3/2*v**2 + 0 + 14*v + 1/3*v**3 + 1/160*v**5 + 1/480*v**6. Let y(u) be the second derivative of z(u). Factor y(m).
3*m*(m + 1)/4
Let a(x) be the second derivative of -2*x**6/135 - 22*x**5/45 - 32*x**4/9 - 4*x - 103. Suppose a(f) = 0. Calculate f.
-16, -6, 0
Let j(k) be the second derivative of -7*k**6/50 - 201*k**5/100 - 91*k**4/10 - 16*k**3/5 + 432*k**2/5 + 3*k - 60. Solve j(d) = 0 for d.
-4, -18/7, 1
Suppose v = 2*v + 6. Let q(p) = p**3 + 10*p**2 + 25*p + 11. Let m be q(v). Let -4/15*d**4 - 2/15*d**3 + 0 + 4/15*d**2 + 0*d + 2/15*d**m = 0. What is d?
-1, 0, 1, 2
Solve -1/2*p**3 + 0 + 119*p**2 - 237/2*p = 0.
0, 1, 237
Factor 0 + 445*p**2 - 222*p**3 - 668/3*p - 1/3*p**4.
-p*(p - 1)**2*(p + 668)/3
Suppose -h = -5*c + 65, 9167*h = 9158*h - 2*c + 26. Factor 0*p - 4/15*p**2 + 2/5*p**3 + h.
2*p**2*(3*p - 2)/15
Let a(n) be the first derivative of -64*n**5/45 - 20*n**4/3 - 52*n**3/9 - 37*n**2/18 - n/3 - 312. Solve a(l) = 0.
-3, -1/4
Solve 7/4*l**2 - 1/8*l**5 + 0*l + 2*l**4 + 0 - 29/8*l**3 = 0 for l.
0, 1, 14
Let g(s) be the first derivative of -3*s**7/70 + s**6/45 - s**5/270 + s**3/3 + 13*s + 22. Let k(d) be the third derivative of g(d). Factor k(o).
-4*o*(9*o - 1)**2/9
Let a(q) be the first derivative of 1/9*q**3 + 1/6*q**