the first derivative of 0*i + 1/2*i**4 - 2*i**r + 2*i**2 - 29. Find a, given that m(a) = 0.
0, 1, 2
Let r = -85764 + 85766. Factor 12/7 - 16/7*d**r + 10/7*d - 2*d**3.
-2*(d + 1)**2*(7*d - 6)/7
Let m = -396 - -407. Suppose m = 2*f + i, 4*f - 2*i + 3*i = 21. Find c such that 0*c + 2/5*c**f + 2/5*c**3 + 0*c**2 + 0 - 4/5*c**4 = 0.
0, 1
Let g(q) be the second derivative of -3*q**7/35 - 38*q**6/75 - 13*q**5/25 + 16*q**4/15 + 7*q**3/3 + 6*q**2/5 - 921*q. Suppose g(v) = 0. What is v?
-3, -1, -2/9, 1
Let f(u) be the second derivative of u**6/15 + 76*u**5/5 + 1012*u**4 + 22496*u**3/3 + 21904*u**2 - 2699*u. Determine l, given that f(l) = 0.
-74, -2
Let w(f) be the second derivative of -35/2*f**3 + 31/2*f**4 - 147/2*f**2 - 13/10*f**6 + 51/10*f**5 + 0 + 133*f + 1/14*f**7. Suppose w(t) = 0. Calculate t.
-1, 1, 7
Let b = 620 - 620. Let u(z) be the first derivative of b*z**3 - 1/2*z**4 + 12 + 0*z - 2/5*z**5 + 0*z**2. Suppose u(x) = 0. What is x?
-1, 0
Let j(m) be the second derivative of -m**4/6 + 570*m**3 - 731025*m**2 - 273*m - 2. Factor j(g).
-2*(g - 855)**2
Let v be 3/(-6) - ((-13)/3)/(2212/474). Factor 30/7*w + v*w**2 + 48/7.
3*(w + 2)*(w + 8)/7
Let r(t) = -t - 3. Let f be r(-7). Suppose f = 3*v - v. Determine z, given that -3*z**2 + 2 + 559*z - 561*z + 2*z**3 + z**v = 0.
-1, 1
Let h(y) be the second derivative of -5*y**4/12 + 80*y**3/3 - 875*y**2/2 - 6250*y. Let h(o) = 0. What is o?
7, 25
Let o(q) be the second derivative of q**6/90 + 3*q**5/4 + 71*q**4/4 + 387*q**3/2 + 972*q**2 - 3731*q. Solve o(v) = 0.
-24, -9, -3
Let h(r) be the first derivative of 9 + r**2 - 2/3*r**3 + 1/12*r**4 + 0*r + 1/30*r**5. Let o(u) be the second derivative of h(u). Factor o(f).
2*(f - 1)*(f + 2)
Suppose -6*p - 5*n - 2638 = -9*p, -3*n - 1758 = -2*p. Let m = p - 876. Factor 0 + m*l + 4/7*l**2 + 2/7*l**3.
2*l**2*(l + 2)/7
Let k be -3 - (-5)/((-20)/(-776)). Determine f so that -16*f**3 + 376*f**2 + 71 - 33 - 14 + k*f = 0.
-1/4, 24
Let h(p) = 3*p**4 + 10*p**3 - 25*p**2 + 14*p + 14. Let u(f) = f**4 + 3*f**3 - 8*f**2 + 4*f + 4. Let c(j) = -6*h(j) + 21*u(j). Suppose c(t) = 0. Calculate t.
-3, 0, 2
Determine k, given that -20*k**4 + 5*k**5 - 4582*k**2 - 168*k**3 + 4512*k**2 + 73*k**3 = 0.
-2, -1, 0, 7
Let n(c) = 140*c**2 - 46*c - 468. Let b(g) = -373*g**2 + 139*g + 1404. Let p(v) = -3*b(v) - 8*n(v). Factor p(y).
-(y + 13)*(y + 36)
Let o(q) be the third derivative of q**7/2100 + 149*q**6/600 + 22201*q**5/600 - 8228*q**2. Factor o(r).
r**2*(r + 149)**2/10
Let w(u) be the second derivative of -u**6/36 - 2*u**5/15 - u**3/6 - u**2 + 6*u - 1. Let y(g) be the second derivative of w(g). Let y(b) = 0. Calculate b.
-8/5, 0
Factor 36*d - 2/3*d**3 + 36 + 9*d**2 - 1/3*d**4.
-(d - 6)*(d + 2)*(d + 3)**2/3
Let d(y) be the first derivative of 8/3*y**6 + 111 + 16/3*y**3 + 0*y - 13*y**4 + 0*y**2 - 52/5*y**5. Solve d(h) = 0 for h.
-1, 0, 1/4, 4
Let r be (558 - 1)/((-1512)/84). Let h = 187/6 + r. Find m such that 0 - 2/3*m + h*m**2 = 0.
0, 3
Suppose -h + 0 = -4*a + 9, 3*a + 5*h - 1 = 0. Let x(u) be the first derivative of 2 + 5*u**4 + 3*u**5 + u**5 - 3*u**4 - 4*u**6 + a*u**6. Factor x(q).
-4*q**3*(q - 2)*(3*q + 1)
Suppose -4*t - u - 2*u + 13 = 0, -t = 5*u + 1. Let v = -2770 + 2774. Factor v - 2*p**t + 4 - 8.
-2*p**4
Let z be -15*10/90*32/(-40)*3. Factor 2496/7*n**2 - 768/7*n + 6*n**z + 660/7*n**3 + 0.
6*n*(n + 8)**2*(7*n - 2)/7
Let d = 32788/3 - 10928. Let m(q) be the first derivative of 29 + 0*q - d*q**3 + 3/2*q**2 + 1/4*q**4. Factor m(v).
v*(v - 3)*(v - 1)
Let 9*x + 35 + 155 + 123 - 4*x**2 + 111*x + 83 = 0. Calculate x.
-3, 33
Let 30 - 43 + 22*y**2 + 116*y + 29 + 62*y**2 + 16 = 0. Calculate y.
-1, -8/21
Let x be (29034/(-15))/(27/(-90)). Let k = x + -31594/5. Factor 378/5*c**3 - 72/5 - k*c**2 + 384/5*c.
6*(3*c - 2)**2*(7*c - 3)/5
Let a(y) be the third derivative of 60*y**2 - 5/24*y**4 + 0 + 1/60*y**5 + y**3 + 0*y. Find n such that a(n) = 0.
2, 3
Let d be 7/1*1*6/7. Factor 8*g**3 - 26*g**4 + 2*g**5 + 18*g**3 + 12*g**4 - 36*g + d*g**2.
2*g*(g - 3)**2*(g - 2)*(g + 1)
Let o = 720903 + -720900. Factor -2/9*i**2 + 2/9*i - 2/9*i**o + 2/9.
-2*(i - 1)*(i + 1)**2/9
Let i(t) = -13*t**3 - 306*t**2 + 665*t - 325. Let r(n) = -7*n**3 - 153*n**2 + 335*n - 163. Let p(q) = 4*i(q) - 7*r(q). What is x in p(x) = 0?
-53, 1
Factor 1338672/7 + 4008/7*l + 3/7*l**2.
3*(l + 668)**2/7
Let a(b) = -6*b + 0*b + 0 + 0*b - 5 + b**2. Let k be a(7). Suppose -x**4 + 2*x**k - 1 + 3*x**3 - x + 173*x**5 - x**3 - 174*x**5 = 0. Calculate x.
-1, 1
Suppose 6*f = -3*v + 11*f - 11, -f - 11 = -5*v. Let q be (v - 32/12)/(10/10). Factor -2/3*t**3 + q*t**4 + 0*t**2 + 1/3*t**5 + 0 + 0*t.
t**3*(t - 1)*(t + 2)/3
Let k(j) be the second derivative of -j**4/24 + 31*j**3/6 - 30*j**2 + 408*j. Determine w, given that k(w) = 0.
2, 60
Let x be 0*(1 - (-6)/42*0). Let g(v) be the third derivative of x*v**3 + 10*v**2 - 1/240*v**5 - 7/96*v**4 + 0*v + 0. Factor g(m).
-m*(m + 7)/4
Let l be 2/4*15 + 105/(28 + -43). Factor -2*b**2 - 3*b**3 + 0 + 12*b + l*b**4.
b*(b - 6)*(b - 2)*(b + 2)/2
Suppose -5*p - 5 = -6*p. Suppose 4 = 4*y + p*m, -2*y + 2*m = -0*m - 20. Determine w, given that -y*w**3 + 4*w**4 - w**2 + 2*w**5 + 8*w - 3*w**2 - 4*w**2 = 0.
-2, 0, 1
Solve 22*p**4 + 160 + 6/5*p**5 + 2402/5*p**2 + 624*p + 762/5*p**3 = 0.
-5, -4, -1/3
Let h(r) be the third derivative of r**8/1176 - 179*r**7/49 + 160205*r**6/28 - 143383475*r**5/42 + r**2 + 9. Solve h(i) = 0 for i.
0, 895
Let i(h) be the second derivative of 0 + 7/12*h**3 - 1/12*h**4 - h**2 - 1/40*h**5 + 77*h. Suppose i(y) = 0. Calculate y.
-4, 1
Let z(n) be the third derivative of -n**8/168 + 44*n**7/175 - 199*n**6/100 - 1841*n**5/75 - 49*n**4 + 120*n**3 - 4*n**2 + 24. Let z(y) = 0. Calculate y.
-2, 2/5, 15
Let u be 1806/595 - 754/(-145). Find p, given that u*p - 2/17*p**2 - 2450/17 = 0.
35
Factor -275428*f**2 + 3*f**4 - f**4 - 192*f - 32*f**3 + 275580*f**2.
2*f*(f - 8)*(f - 6)*(f - 2)
Let f(m) be the third derivative of m**5/12 + 195*m**4/2 + 45630*m**3 - 529*m**2. Factor f(n).
5*(n + 234)**2
Factor -26/3*p + 28/3 - 2/3*p**2.
-2*(p - 1)*(p + 14)/3
Suppose 5*a - 4*j = -2 + 10, 3*a = 4*j. Suppose -h = -3*y + 1 + 3, -4*y + 16 = a*h. Factor -9*w**h - 5*w - 6*w**3 + 3*w**3 - w.
-3*w*(w + 1)*(w + 2)
Solve -56/3*s**3 + 40/3 - 10*s**2 + 88/3*s + 22/3*s**4 = 0 for s.
-1, -5/11, 2
Let w(t) be the first derivative of 21*t - 1/3*t**3 - 10*t**2 + 75. Find s, given that w(s) = 0.
-21, 1
Let o be (-28)/42*18/(-4). Let j(a) = 90*a - 268. Let y be j(o). Solve -3/7*b**y - 1/7 + 4/7*b = 0 for b.
1/3, 1
What is s in 0 + 1/2*s**3 + 13/2*s**2 + 0*s = 0?
-13, 0
Let j(x) be the first derivative of x**8/112 + 3*x**7/140 - x**6/40 + 101*x**2/2 + 63. Let w(y) be the second derivative of j(y). Let w(z) = 0. What is z?
-2, 0, 1/2
Let v(n) be the third derivative of 0*n**3 - 1/300*n**6 + 17*n**2 + 0*n - 1/30*n**4 + 2 - 1/50*n**5. Determine i, given that v(i) = 0.
-2, -1, 0
Let f(a) = -2*a**2 - 196*a + 198. Let m(z) = 2*z**2 + 196*z - 198. Let o(d) = -5*f(d) - 4*m(d). Factor o(u).
2*(u - 1)*(u + 99)
Suppose -4*f - 20 = 0, -11*m + f = -13*m + 1. Suppose 4*y + m*y = -3*y. Factor 0 + 0*u**3 + y*u + 1/4*u**4 + 0*u**2.
u**4/4
Let u = -36060 - -36060. Let b(q) be the third derivative of 1/30*q**6 - 2/3*q**3 + u + 1/20*q**5 + 0*q + 40*q**2 + 1/210*q**7 - 1/6*q**4. Factor b(x).
(x - 1)*(x + 1)*(x + 2)**2
Suppose 2*g + 131 = -2*q - 43, 165 = -2*q - 5*g. Let a be (-8)/44*165/q. Factor 9*t**2 - 31/3*t + 4 - 3*t**3 + a*t**4.
(t - 4)*(t - 3)*(t - 1)**2/3
Let d(m) be the first derivative of 1/15*m**3 - 9/5*m + 0*m**2 + 74. Factor d(z).
(z - 3)*(z + 3)/5
Let w = 3481/3 - 1160. Let a(c) be the first derivative of -12*c**2 - 41 + 144*c + w*c**3. Factor a(o).
(o - 12)**2
Suppose -82*r + 72*r = 0. Let a(t) be the second derivative of 21*t + 0*t**2 + r - 1/9*t**4 - 2/9*t**3 + 1/60*t**5 + 1/90*t**6. Find l, given that a(l) = 0.
-2, -1, 0, 2
Let c(o) be the first derivative of o**6/90 + o**5/30 - 2*o**4 - 92*o**3/3 - 15. Let f(w) be the third derivative of c(w). Factor f(d).
4*(d - 3)*(d + 4)
Let q(d) be the third derivative of -d**5/270 + 44*d**4/27 - 5543*d**2. Let q(l) = 0. What is l?
0, 176
Let s(k) be the second derivative of 0 - 294*k - 8/13*k**2 + 2/39*k**6 - 4/39*k**3 + 7/13*k**4 + 41/130*k**5. What is t in s(t) = 0?
-2, -1/2, 2/5
Let z(x) be the third deriva