 derivative of c(s). Solve o(m) = 0 for m.
-2, -1, 1
Let b(q) be the first derivative of -q**7/3780 + q**6/405 - q**5/108 + q**4/54 + 172*q**3/3 + 102. Let m(h) be the third derivative of b(h). Factor m(w).
-2*(w - 2)*(w - 1)**2/9
Let h(i) be the second derivative of i**7/3360 + 11*i**6/480 + 21*i**5/160 - 51*i**4/4 + 171*i. Let n(b) be the third derivative of h(b). Factor n(c).
3*(c + 1)*(c + 21)/4
Let l be ((-8)/(-2))/(56 + 4). Let b(i) be the first derivative of 0*i**4 + 0*i + 1/3*i**3 + 1/3*i**2 - 13 - l*i**5. Factor b(j).
-j*(j - 2)*(j + 1)**2/3
Let h be -9*(-61)/(2745/10). Factor 0 + 2/5*z**h + 0*z - 2/5*z**3.
-2*z**2*(z - 1)/5
Let k be (-2 - -3)*-4 - ((-1632)/(-2652))/((-5)/65). Factor 0 - 2/13*y**5 + 0*y - 28/13*y**k - 144/13*y**2 - 120/13*y**3.
-2*y**2*(y + 2)*(y + 6)**2/13
Let f(p) be the third derivative of -9*p**4/8 + 517*p**3/6 - 6*p**2 - 17. Let i be f(19). Factor 1/6*z + 0 - z**2 + 1/6*z**3 + 8/3*z**5 + 4*z**i.
z*(z + 1)**2*(4*z - 1)**2/6
Let d be ((150/(-90))/((-15)/36))/16. Let 11/2*k**2 - d*k**3 - 121/4*k + 0 = 0. Calculate k.
0, 11
Let l(m) be the first derivative of 2/21*m**3 + 6/35*m**5 - 4/7*m**4 - 8/7*m + 8/7*m**2 - 55. What is o in l(o) = 0?
-1, 2/3, 1, 2
Let j be (-75)/(-540)*45/250. Let w(x) be the third derivative of -3/20*x**5 + 0*x**3 + 0 + 1/4*x**4 + j*x**6 - 19*x**2 + 0*x. Let w(o) = 0. What is o?
0, 1, 2
Let h(t) be the second derivative of -t**4/6 - 12*t**3 - 99*t**2 - 378*t. Solve h(j) = 0.
-33, -3
Let t(o) be the second derivative of -o**5/20 - o**4/12 + o**3/3 + 3*o**2/2 + 32*o. Let w be t(0). Suppose 7*c**2 - 9*c**2 + w - 5*c + 6*c = 0. What is c?
-1, 3/2
Suppose 0 = 266*a - 459*a + 772. Let k(d) be the second derivative of -d**3 - 1/4*d**a + 0 + 0*d**2 - 19*d. Suppose k(p) = 0. Calculate p.
-2, 0
Suppose 4*m - 2*z - 112 = -3*z, m + 4*z = 43. Let d = m + -24. Factor -4*q**2 - 24*q**d + 19*q**3 + 40*q + 60 - q**2.
-5*(q - 3)*(q + 2)**2
Suppose 0 = h - 4, 5*h - 3*h = -d + 20. Let -10*r**3 + 33*r**2 + r**5 + 35*r**3 - 9*r**4 - 14*r**3 + d - 36*r - 14*r**3 + 2*r**5 = 0. What is r?
-2, 1, 2
Let z = -424 + 442. Factor 131*v + z - 17 - 9*v**2 - 19 - 48*v.
-(v - 9)*(9*v - 2)
Let 546/5 + 258/5*g**3 - 1368/5*g**2 - 267/5*g + 822/5*g**4 + 9/5*g**5 = 0. What is g?
-91, -1, 2/3, 1
Let c(l) be the first derivative of 22/5*l - 1/15*l**3 + 9/10*l**2 - 68. Factor c(n).
-(n - 11)*(n + 2)/5
Let j(k) be the third derivative of 19*k**6/60 - 11*k**5/12 - k**4/6 - 95*k**3/6 + 166*k**2 - 2*k. Let o(h) be the first derivative of j(h). Factor o(m).
2*(m - 1)*(57*m + 2)
Let u be 1760/(-20)*2*-4. Factor u - 3*y**2 - 3052*y + y**2 - 2386 + 2936*y.
-2*(y + 29)**2
Suppose 0 = -6*i - 1104 + 1128. Let t(q) be the third derivative of 0*q + 20*q**2 - 2/27*q**3 + 0 - 1/108*q**i + 1/270*q**5. Factor t(j).
2*(j - 2)*(j + 1)/9
Let a(j) = 2*j**3 + 3*j**2 + 6*j + 17. Let p(m) = -m**3 - 23*m**2 + 27*m + 70. Let y be p(-24). Let b be a(y). Suppose -5/4*d - 1/4*d**2 - b = 0. What is d?
-4, -1
Determine p, given that 33*p**2 - 243 + 68*p + 110*p + 25*p**4 + 41*p**2 - 10*p**3 + 3 - 27*p**4 = 0.
-8, -3, 1, 5
Let s be (-1014925)/1500 + (-4)/16. Let k = s + 677. Determine o so that 4/15*o**4 + 0 + 0*o**3 + k*o**5 - 2/15*o - 4/15*o**2 = 0.
-1, 0, 1
Factor 5*s**4 - 1453*s + 240 + 12*s**3 + 1353*s - 37*s**2 + 3*s**3 - 23*s**2.
5*(s - 2)**2*(s + 3)*(s + 4)
Let o(t) be the first derivative of t**6/3 + 26*t**5/5 + 24*t**4 + 136*t**3/3 + 32*t**2 + 5416. Factor o(a).
2*a*(a + 1)*(a + 2)**2*(a + 8)
Let l = -36 + 26. Let s be (l/(-4))/((-10)/20). Let x(b) = 3*b**4 + 18*b**3 + 44*b**2 + 36*b + 12. Let g(d) = d**2. Let w(y) = s*g(y) + x(y). Factor w(h).
3*(h + 1)**2*(h + 2)**2
Let r = -964 - -967. Determine s so that s**3 + s**2 - r*s**2 - 24 + 16*s - 2*s**2 - 45*s = 0.
-3, -1, 8
Let o = 1654/2913 - -96/971. Let r be (-2)/(-8)*(-8)/(-6). Find l such that -o*l**2 - l**3 + r*l**5 + 0 + 0*l + 0*l**4 = 0.
-1, 0, 2
Factor -2/3*r**4 + 0*r + 0 - 836/3*r**3 - 87362/3*r**2.
-2*r**2*(r + 209)**2/3
Let l(h) be the first derivative of -h**3/18 - 197*h**2/12 - 160*h - 6149. Determine d so that l(d) = 0.
-192, -5
Let r be 5/(6/((-48)/(-20))). Find m, given that -12*m + m**3 - 3*m**4 + 20*m**r - 14*m**2 + 2*m**3 + 6*m**2 = 0.
-2, 0, 1, 2
Let j(v) be the second derivative of v**6/165 - 9*v**5/55 + 2*v**4/3 + 6*v**3/11 - 45*v**2/11 + 42*v + 76. Let j(i) = 0. What is i?
-1, 1, 3, 15
Let y(t) = t**2 - 13*t + 15. Let w be y(13). Suppose -2*b + 3*q = -6, 0 = -5*b - 3*q - 2*q + w. Factor -3/2*c**5 + 2/3*c**2 - c**4 + 11/6*c**b + 0 - 2/3*c.
-c*(c + 1)**2*(3*c - 2)**2/6
Let s(q) be the third derivative of 1/24*q**4 + 1/60*q**5 + 0*q + 1/360*q**6 + 0 + 23/6*q**3 - 9*q**2. Let d(n) be the first derivative of s(n). Factor d(x).
(x + 1)**2
Let c be -10 - (-8 - -9) - -7. Let f be (-2)/c - (1 + (-399)/126). What is q in 1/3*q**5 + 1/3*q + f*q**2 - 4/3 - 4/3*q**4 - 2/3*q**3 = 0?
-1, 1, 4
Let g(s) = -s + 12. Let d be g(19). Let y be d - (259/(-28) + 2). Factor y*a**3 - 1/4*a**2 - 1/2*a + 0.
a*(a - 2)*(a + 1)/4
Let f = 1230 + -2077. Let v = 849 + f. Let 4/7 - 12/7*k - 1/7*k**3 + 1/7*k**5 + 11/7*k**v - 3/7*k**4 = 0. What is k?
-2, 1, 2
Factor -1/7*n**2 - 254/7*n - 253/7.
-(n + 1)*(n + 253)/7
Let c(o) be the first derivative of o**6/120 - 9*o**5/20 + 4*o**4 + 80*o**3/3 + 193. Let d(g) be the third derivative of c(g). Factor d(b).
3*(b - 16)*(b - 2)
Solve 0 - 30/7*n - 33/7*n**2 - 3/7*n**3 = 0.
-10, -1, 0
Find a such that -2 + 20/9*a - 2/9*a**2 = 0.
1, 9
Let q(z) be the second derivative of z**5/80 + 13*z**4/48 + 47*z**3/24 + 35*z**2/8 + 3*z - 234. Factor q(g).
(g + 1)*(g + 5)*(g + 7)/4
Let l(q) be the second derivative of -7*q**6/75 + 41*q**5/25 + 71*q**4/10 + 152*q**3/15 + 28*q**2/5 + 2641*q. What is c in l(c) = 0?
-1, -2/7, 14
Solve 46/9*z + 4/3*z**2 + 10/3 = 0 for z.
-3, -5/6
Let q(u) be the third derivative of -u**5/420 + 43*u**4/168 + 22*u**3/21 - 3920*u**2. Find n such that q(n) = 0.
-1, 44
Let o(w) = -w**2 + 20*w - 10. Let s be o(13). Suppose 84*q - 9*q**3 + q**4 + s - 9 + 9*q**2 - 7*q**2 = 0. What is q?
-2, -1, 6
Determine c so that -1670 + 1002*c - 12*c**3 + 957*c**2 + 1871 - 168*c**2 = 0.
-1, -1/4, 67
Suppose -3*w = -6, o - 500 + 44 = -3*w. Determine p, given that -68*p**4 - 488*p + 10 - o*p**3 - 8 + 78 + 1388*p**3 - 30*p**4 + 468*p**2 = 0.
-1, 2/7, 10
Factor 9611 - 3*z**2 - 23587 - 56693 - 984*z - z**2 + 10153.
-4*(z + 123)**2
What is o in 1/4*o**3 + 780300*o - 765*o**2 - 265302000 = 0?
1020
Let y(m) be the third derivative of m**5/140 - 13*m**4/28 - 87*m**3/14 + 4030*m**2. Suppose y(l) = 0. Calculate l.
-3, 29
Suppose -3*g - 394 = -4*d - 2431, -2*d + 3395 = 5*g. Suppose -g*b + 671*b + 32 = 0. Find c, given that -c**b + c**2 + 0 - 1/2*c**3 + 3/4*c - 1/4*c**5 = 0.
-3, -1, 0, 1
Let r be 5/(-2) + (-1)/(-2) + 5. Suppose r*w - 105 = -4*w. Factor 5*p**2 - 10 + 1337*p - 1322*p - 4*p**2 + 4*p**2 + 5*p**4 - w*p**3.
5*(p - 2)*(p - 1)**2*(p + 1)
Let i(p) be the first derivative of -3*p**5/20 + 3*p**4/4 - 6*p**2 + 36*p + 35. Let c(o) be the first derivative of i(o). Factor c(a).
-3*(a - 2)**2*(a + 1)
Let a(d) be the second derivative of -335/3*d**3 - 5/12*d**4 - d + 20 - 22445/2*d**2. Find l, given that a(l) = 0.
-67
Determine u, given that -4 - 120*u - 3*u**4 - 12 + 18*u**2 + 25 + 96*u = 0.
-3, 1
Let z(d) = -54*d - 702. Let i be z(-13). Let a(p) be the second derivative of 1/140*p**5 + 0*p**3 + 13*p + i + 0*p**2 + 1/28*p**4. Determine q so that a(q) = 0.
-3, 0
Let u be -8 + (-2899)/728 - -12. Let n(o) be the third derivative of 0 + 1/280*o**6 + 0*o - 7*o**2 - u*o**4 - 1/70*o**5 + 1/7*o**3. Factor n(b).
3*(b - 2)*(b - 1)*(b + 1)/7
Let w = -1056/7 + 25379/168. Let c(a) be the third derivative of 1/120*a**6 + 13*a**2 + 0*a - 1/3*a**3 - 1/20*a**5 + 0 - w*a**4 + 1/210*a**7. Factor c(t).
(t - 2)*(t + 1)**3
Let c(k) be the third derivative of k**7/840 + k**6/60 - 3*k**5/80 - 3*k**2 - 160. Factor c(j).
j**2*(j - 1)*(j + 9)/4
Let 16/15*j + 0 - 22/3*j**4 - 4/5*j**3 + 10/3*j**5 + 56/15*j**2 = 0. What is j?
-2/5, 0, 1, 2
Let h(y) be the second derivative of 169*y**6/30 - 91*y**5/10 - 407*y**4/3 - 220*y**3 - 144*y**2 + 142*y - 4. What is u in h(u) = 0?
-2, -6/13, 4
Let q = -28 - -33. Let a be (-4 + q)/(-1)*-2. Let l(i) = -i**2 - i. Let b(z) = -4*z**2 - 6*z - 2. Let c(g) = a*b(g) - 12*l(g). Determine j so that 