he first derivative of g(d). What is v in k(v) = 0?
-1, 0
Let n(u) be the third derivative of u**5/140 - 9*u**4/56 - 18*u**3/7 + 214*u**2. Factor n(l).
3*(l - 12)*(l + 3)/7
Let i be 4 + -6 + (0 - -6). Factor 4*b**2 - 4*b - 14 + 0*b**3 + i*b**3 + 10.
4*(b - 1)*(b + 1)**2
Let m = -300 - -307. Let f(i) be the second derivative of 0*i**6 + 0*i**2 + 0 - 5*i + 1/126*i**m - 1/20*i**5 + 0*i**3 - 1/18*i**4. Factor f(h).
h**2*(h - 2)*(h + 1)**2/3
Let n(w) be the third derivative of w**7/560 - w**6/40 + 3*w**5/32 + w**4/8 - w**3 - w**2 - 15. Factor n(r).
3*(r - 4)**2*(r - 1)*(r + 1)/8
Let n(q) = -7*q**2 + 36*q - 162. Let d(s) = -16*s + 4*s - 2*s**2 - 81 - 2*s**2 + 30*s. Let l(r) = -5*d(r) + 3*n(r). Factor l(m).
-(m - 9)**2
Let n(i) be the second derivative of i**10/6048 - i**9/756 + i**8/336 - 5*i**4/6 + 12*i. Let y(q) be the third derivative of n(q). Find l, given that y(l) = 0.
0, 2
Let r = -667 + 2002/3. Factor -r*s**4 + 0*s**2 + 0 - 1/3*s**5 + 0*s**3 + 0*s.
-s**4*(s + 1)/3
Suppose 73*u = -17381 + 17527. Solve -1 + 1/6*l**u - 5/6*l = 0 for l.
-1, 6
Let r(k) be the third derivative of -k**7/945 + k**6/135 + k**5/135 - k**4/9 - k**3/3 + 2*k**2 + 32. Suppose r(n) = 0. Calculate n.
-1, 3
Let p(h) = -41*h**2 + 17*h**2 + 25*h**2 - 1 - h. Let q(z) = -2*z**4 - 2*z**2 + 4*z + 4. Let x(s) = 4*p(s) + q(s). Factor x(g).
-2*g**2*(g - 1)*(g + 1)
Let j(p) = -p**3 + 50. Let l be j(0). Let i be 530/l - (-2)/5. Factor -6*b**2 - i*b**3 - 9*b**3 - 3*b + 17*b**3.
-3*b*(b + 1)**2
Let x(l) be the second derivative of l**6/105 - l**5/70 - l**4/7 + 4*l**3/21 + 8*l**2/7 - 10*l. Factor x(o).
2*(o - 2)**2*(o + 1)*(o + 2)/7
Let o(d) = -d**2 - 38*d + 200. Let r(q) = 2*q**2 + 36*q - 200. Let s(w) = -3*o(w) - 4*r(w). Factor s(m).
-5*(m - 4)*(m + 10)
Let r = 8 + -5. Suppose 0 = 3*b - 0*b + 2*l - 3, 0 = 2*b - 4*l - 18. Find f, given that -b*f**5 - 3*f**r + 10*f**5 - 4*f**5 = 0.
-1, 0, 1
Let u(f) be the third derivative of f**8/336 + f**7/105 - f**6/60 - 2*f**5/15 - 7*f**4/24 - f**3/3 - 8*f**2. Determine q, given that u(q) = 0.
-1, 2
Let c(f) be the third derivative of -5*f**8/336 - f**7/14 - f**6/8 - f**5/12 - 520*f**2. Factor c(y).
-5*y**2*(y + 1)**3
Suppose -14 = -10*j + 3*j. Factor 1/2*w + 1/2*w**j + 0.
w*(w + 1)/2
Let k = 191 - 187. Let u(q) be the third derivative of 1/12*q**k + 6*q**2 + 1/15*q**5 - 1/60*q**6 + 0*q + 0 - 2/3*q**3. Factor u(j).
-2*(j - 2)*(j - 1)*(j + 1)
Suppose 0 = 17*u - 13*u - 60. Let y be 374/40 + (-1)/(-4). Suppose 3/5*v**2 - u*v**5 - 3*v**4 + 123/5*v**3 + 12/5 - y*v = 0. Calculate v.
-1, 2/5, 1
Let l be 58 - 72 - (-64)/4. Determine i so that 5/3*i - 1/3*i**2 - l = 0.
2, 3
Let h(l) be the third derivative of l**6/120 - 6*l**5/5 + 72*l**4 - 2304*l**3 - 99*l**2. Let h(t) = 0. Calculate t.
24
Let o(s) be the first derivative of s**7/2100 + 7*s**6/900 + s**5/20 + 3*s**4/20 - 2*s**3/3 + 6. Let c(a) be the third derivative of o(a). Factor c(g).
2*(g + 1)*(g + 3)**2/5
Suppose 0 = -38*y + 35*y + 6. Determine b so that 17*b - 3*b**y - 48 + 4*b + 2*b + b = 0.
4
Let g(j) be the second derivative of j**4/54 - 8*j**3/27 + 7*j**2/9 - 5*j. Factor g(z).
2*(z - 7)*(z - 1)/9
Factor -3/5*q - 9/5*q**2 + 12/5*q**3 + 0.
3*q*(q - 1)*(4*q + 1)/5
Let n(c) be the third derivative of -1/525*c**7 + 0*c**4 + 0 + 1/75*c**5 + 0*c**3 + 1/300*c**6 + 0*c + 33*c**2. Factor n(b).
-2*b**2*(b - 2)*(b + 1)/5
Let g(w) = 20*w**2 + 511*w + 13. Let t(u) = 9*u**2 + 255*u + 6. Let x(b) = 6*g(b) - 13*t(b). Factor x(h).
3*h*(h - 83)
Let h(p) = p**3 + 6*p**2 + 16*p - 4. Let v be h(-8). Let j = v - -260. Factor j + 46/5*s**3 - 8/5*s**4 - 18/5*s - 12*s**2.
-2*s*(s - 3)**2*(4*s + 1)/5
Suppose q = 7*q + 4*q. Let y(r) be the second derivative of -7*r + 1/26*r**5 + 1/39*r**4 + 0 + q*r**3 + 0*r**2. Factor y(h).
2*h**2*(5*h + 2)/13
Let a(b) be the third derivative of -1/12*b**5 - 1/120*b**6 - 1/12*b**4 + 0 + 4/3*b**3 + 0*b + 31*b**2. Factor a(k).
-(k - 1)*(k + 2)*(k + 4)
Let l(d) be the first derivative of -d**4/6 + 152*d**3/9 - 149*d**2/3 + 148*d/3 + 322. Factor l(a).
-2*(a - 74)*(a - 1)**2/3
Let t(h) be the third derivative of -h**8/43680 + h**7/8190 + 7*h**4/6 + 24*h**2. Let l(i) be the second derivative of t(i). Factor l(w).
-2*w**2*(w - 2)/13
Let n(m) be the second derivative of -m**6/3060 + m**5/255 - m**4/68 + 20*m**3/3 + 23*m. Let h(v) be the second derivative of n(v). Factor h(f).
-2*(f - 3)*(f - 1)/17
Let m(v) be the first derivative of 0*v - 12 + 0*v**2 + 0*v**3 + 1/8*v**4 - 1/8*v**6 + 1/20*v**5. Solve m(y) = 0 for y.
-2/3, 0, 1
Let n(p) be the third derivative of -3*p**2 + 0 + 0*p**4 + 0*p**3 - 1/30*p**5 + 0*p. Factor n(m).
-2*m**2
Let y(n) be the third derivative of 0*n - 1/8*n**3 + 1/240*n**5 + 0 - 41*n**2 - 1/48*n**4. Factor y(a).
(a - 3)*(a + 1)/4
Suppose 3*f + 408 = -3*f. Let c be (f/(-51))/((-28)/(-6)). Factor c*m**4 - 2/7*m**2 + 2/7*m**3 - 2/7*m + 0.
2*m*(m - 1)*(m + 1)**2/7
Let g be 399/615 - (-32)/(-656). Let -27/5*v**3 - 6/5*v + 3*v**4 - g*v**5 + 0 + 21/5*v**2 = 0. Calculate v.
0, 1, 2
Let n(q) be the second derivative of -q**6/30 + 29*q**5/20 - 65*q**4/4 - 75*q**3/2 - 4*q - 31. Suppose n(t) = 0. Calculate t.
-1, 0, 15
Let h(y) be the first derivative of -3*y**5/5 + 21*y**4/2 - 32*y**3 - 192*y**2 + 83. Factor h(s).
-3*s*(s - 8)**2*(s + 2)
Let u(o) be the third derivative of o**8/840 + 3*o**7/175 + o**6/20 - o**5/6 - 99*o**2. Factor u(g).
2*g**2*(g - 1)*(g + 5)**2/5
Find l such that -16*l - 6/13*l**3 + 70/13*l**2 + 184/13 = 0.
2, 23/3
Suppose a + 3 + 11 = o, 4*o - 56 = -3*a. Let d be -1 - ((-288)/84 - (-6)/o). Determine i so that 2/9 + 0*i - 2/9*i**d = 0.
-1, 1
Let c(x) = 15*x**3 + 210*x**2 + 325*x + 210. Let k(n) = 2*n**3 + 30*n**2 + 46*n + 30. Let a(r) = 3*c(r) - 20*k(r). Factor a(q).
5*(q + 1)*(q + 2)*(q + 3)
Let k be (3/(-2))/3*18/(-80). Let i(c) be the second derivative of 3/8*c**3 - 3/4*c**2 - 2*c + 1/16*c**4 - k*c**5 + 0 + 1/40*c**6. Suppose i(f) = 0. What is f?
-1, 1, 2
Let l(o) be the first derivative of -4 + 3/2*o - 1/4*o**2 - 1/2*o**3 + 1/8*o**4. Determine m so that l(m) = 0.
-1, 1, 3
Let b(z) = -8*z**4 - 36*z**3 + 30*z**2 - 2*z - 4. Let u(o) = 2*o**4 - o**2 + o - 1. Let g(x) = b(x) - 4*u(x). What is k in g(k) = 0?
-3, 0, 1/4, 1/2
Let i(y) be the third derivative of -5/12*y**4 + 0 + 11*y**2 + 4/3*y**3 + 0*y + 1/30*y**5. Let i(z) = 0. Calculate z.
1, 4
Let s(b) = 23*b**3 + 57*b**2 + 147*b + 55. Let k(i) = -11*i**3 - 29*i**2 - 74*i - 30. Let w(g) = -13*k(g) - 6*s(g). Find n such that w(n) = 0.
-3, -2
Let b(t) = -t**3 - t**2 + 2*t - 1. Let u(w) = 6*w**3 + 27*w**2 + 3*w + 4. Let x(i) = 4*b(i) + u(i). Factor x(s).
s*(s + 11)*(2*s + 1)
Let x(w) = 4*w**2 + 12*w. Let f be x(-3). Let -2/5*s**2 + f + 2/5*s = 0. Calculate s.
0, 1
Factor 26*q**2 + 240*q - 800/3 + 2/3*q**3.
2*(q - 1)*(q + 20)**2/3
Factor 105*q**2 - 84*q**2 - 5*q**3 + 432*q + 385 + 333*q + 141*q**2 + 213*q**2.
-5*(q - 77)*(q + 1)**2
Let n = 3 - -29. Let u be 4*4*4/n. Factor -1/6*p**3 - 2/3*p**u - 5/6*p - 1/3.
-(p + 1)**2*(p + 2)/6
Let p(n) be the first derivative of 5*n**6/6 - 5*n**4 + 10*n**3/3 + 15*n**2/2 - 10*n + 23. Let p(b) = 0. What is b?
-2, -1, 1
Suppose 31*c - 4 = 27*c - 4*k, k - 6 = -2*c. Let m(i) be the first derivative of 1/3*i**3 + 0*i + 1/6*i**2 + 1/15*i**c - 9 + 1/4*i**4. Factor m(h).
h*(h + 1)**3/3
What is p in -5*p**5 + 37*p + 7*p**2 - 147*p + 75*p**4 + 273*p**2 + 5*p**2 - 245*p**3 = 0?
0, 1, 2, 11
Let t be ((3 - 12) + 9)*-1. Let h(p) be the second derivative of t + 4*p**2 - 16/5*p**5 + 10*p**3 - 2*p + 8*p**4. Factor h(y).
-4*(y - 2)*(4*y + 1)**2
Let 43*y**2 + 34*y**4 - 4*y**5 + 18*y**4 + 101*y**2 - 192*y**3 = 0. Calculate y.
0, 1, 6
Let d(s) be the first derivative of -s**6/18 - 2*s**5/5 - 11*s**4/12 - 2*s**3/9 + 2*s**2 + 8*s/3 - 35. Factor d(n).
-(n - 1)*(n + 1)*(n + 2)**3/3
Let a(n) be the second derivative of -n**8/3360 + n**6/120 - n**5/30 - 3*n**4/4 - 9*n. Let r(k) be the third derivative of a(k). Suppose r(h) = 0. What is h?
-2, 1
Let o(z) be the first derivative of z**4/48 - 5*z**3/12 + 25*z**2/8 - 10*z + 10. Let v(g) be the first derivative of o(g). Factor v(u).
(u - 5)**2/4
Let a(p) be the first derivative of p**6/30 - 167*p**5/50 + 861*p**4/10 + 294*p**3/5 + 163. Solve a(t) = 0.
-1/2, 0, 42
Let b(u) be the second derivative of 3/2*u**2 + 0 + 1/20*u**5 - 1/4*u**4 - 11*u - 1/6*u**3. Determine a, giv