he first derivative of s(y). Factor g(f).
-3*f**2*(f + 8)/4
Let c(r) be the third derivative of -r**7/1890 + r**6/540 + r**5/135 - r**4/27 - 19*r**2 - 3. Suppose c(j) = 0. Calculate j.
-2, 0, 2
Let o(a) be the first derivative of 1/8*a**4 + 0*a + 16 + 0*a**2 - 1/20*a**5 + 0*a**3. Suppose o(f) = 0. What is f?
0, 2
Let p(n) be the first derivative of -35 + 1/10*n**4 - 16/15*n**3 - 12/5*n + 13/5*n**2. Factor p(u).
2*(u - 6)*(u - 1)**2/5
Suppose -2*l - 721 + 753 = 4*q, l - q = -8. What is f in -4/7*f + l + 26/7*f**2 = 0?
0, 2/13
Let t(p) be the first derivative of -p**5/20 + p**4/8 - 11*p**2 + 5. Let s(g) be the second derivative of t(g). Factor s(j).
-3*j*(j - 1)
Let i(d) be the second derivative of 2*d**6/105 + 9*d**5/70 + 5*d**4/21 - 3*d + 27. Suppose i(l) = 0. Calculate l.
-5/2, -2, 0
Suppose 2*n + 2 = 4*t, 153*n = 154*n - 9*t + 15. Factor 0 + 5/3*c**n - 6*c**2 - 8/3*c.
c*(c - 4)*(5*c + 2)/3
Let y be -11*(-3)/(-39) - (-13 - -12). Let a = -7296/13 - -562. Suppose 0*q + 4/13*q**2 - y*q**5 - a*q**3 + 0 + 8/13*q**4 = 0. What is q?
0, 1, 2
Let d be 1/4 - 15/(180/(-57)). Let q(x) be the first derivative of -2/9*x - 4/9*x**3 - 4/9*x**2 - 2/45*x**d - 3 - 2/9*x**4. Let q(f) = 0. What is f?
-1
Let a(u) = -2*u**2 + 2*u. Let g(b) be the third derivative of -b**5/20 + b**4/8 - 38*b**2. Let y(i) = 5*a(i) - 3*g(i). Factor y(s).
-s*(s - 1)
Let p(s) = 8*s**2 - 32*s - 12. Let r be p(6). Let l be -6 + 2 - 13/((-234)/r). Determine k so that -6*k**3 + 22/3*k**4 + l*k**2 - 8/3*k**5 + 2/3*k + 0 = 0.
-1/4, 0, 1
Let z(u) be the second derivative of -u**4/8 - 5*u**3/4 - 65*u - 1. Factor z(w).
-3*w*(w + 5)/2
Let i(z) be the first derivative of 7*z**6/2 - 183*z**5/5 + 267*z**4/2 - 196*z**3 + 60*z**2 + 96*z - 129. Solve i(h) = 0 for h.
-2/7, 1, 2, 4
Suppose -48*u + 55*u - 133 = 0. Factor -7*q**2 + 37*q + 3*q**3 - 14 - u*q**2 + 0.
(q - 7)*(q - 1)*(3*q - 2)
Let p(t) be the first derivative of -t**6/24 + 3*t**5/4 - 61*t**4/16 + 7*t**3/4 + 49*t**2/4 + 45. Let p(h) = 0. What is h?
-1, 0, 2, 7
Suppose 16*o = 15*o - 19. Let z = -9 - o. Factor -7 - 1 - 4*w**3 - 2*w**2 + z*w**2 + 2*w + 2*w.
-4*(w - 2)*(w - 1)*(w + 1)
Let q(u) = 17*u**2 + 910*u + 180. Let y(g) = 120*g**2 + 6368*g + 1260. Let s(p) = 20*q(p) - 3*y(p). Let s(h) = 0. Calculate h.
-45, -1/5
Let p(d) = 132*d**3 + 412*d**2 + 180*d - 34. Let f(v) = 19*v**3 + 59*v**2 + 26*v - 5. Let i(y) = 44*f(y) - 6*p(y). Factor i(x).
4*(x + 1)*(x + 2)*(11*x - 2)
Let d = -256 - -256. Let l(z) be the first derivative of -3/4*z**4 - 4 + 9/5*z**5 + d*z - 3*z**3 + 3/2*z**2. Factor l(p).
3*p*(p - 1)*(p + 1)*(3*p - 1)
Let k(t) be the third derivative of t**6/80 - t**5/20 - t**4/16 + t**3/2 + 5*t**2 + 39. Suppose k(n) = 0. Calculate n.
-1, 1, 2
Factor 24*v**3 + 19*v - 43*v**2 - 28*v**3 - 8*v.
-v*(v + 11)*(4*v - 1)
Let y(b) = -14*b**2 + b**3 - 35*b**2 + 129 - 141*b + 100*b**2. Let x(q) = 50*q**2 - 140*q + 130. Let p(k) = -6*x(k) + 5*y(k). What is m in p(m) = 0?
3
Let o(r) be the first derivative of r**4/48 + r**3/24 - r**2/4 - 8*r + 27. Let p(t) be the first derivative of o(t). Determine u, given that p(u) = 0.
-2, 1
Let m(j) = j**4 - 3*j**3 - j**2 + j + 1. Let r(q) = -q**5 + 11*q**4 - 4*q**3 - 6*q**2 + 6*q + 6. Let i(c) = 30*m(c) - 5*r(c). Find v, given that i(v) = 0.
-2, 0, 7
Suppose 78 = 9*f - 14*f + 93. Let -3/2*g**2 + 8*g - 2*g**4 - 13/2*g**f + 2 = 0. What is g?
-2, -1/4, 1
Let h(r) be the second derivative of 0*r**2 + 3/5*r**5 - 18*r + 1/2*r**3 + 0 + 5/4*r**4. Determine t, given that h(t) = 0.
-1, -1/4, 0
Suppose b = -5*b + 24. Suppose -b*p + 7 = -2*p + a, 15 = 5*a. Suppose 3/5*w**3 + 0*w + 3/5*w**p + 0 = 0. What is w?
-1, 0
Let r(l) be the first derivative of 7*l**3 + 61*l**2/2 - 71*l - 17. Let i(h) = -4*h**2 - 12*h + 14. Let s(u) = 11*i(u) + 2*r(u). Factor s(n).
-2*(n - 1)*(n + 6)
Let k(q) be the first derivative of -q**4/21 - 10*q**3/21 - 12*q**2/7 + 7*q + 42. Let s(m) be the first derivative of k(m). Solve s(y) = 0 for y.
-3, -2
Let i be 17/(-51) + (-7)/(-20). Let u(p) be the third derivative of -1/12*p**4 + 1/6*p**3 + i*p**5 + 0*p + 2*p**2 + 0. Factor u(r).
(r - 1)**2
Let r(d) be the first derivative of d**4/32 - d**3/2 + 17*d**2/16 + 15*d/4 - 96. Suppose r(m) = 0. What is m?
-1, 3, 10
Let q(o) be the first derivative of 1/4*o**4 - 1/2*o**2 + o - 10 - 1/3*o**3. Factor q(z).
(z - 1)**2*(z + 1)
Suppose 0 = 4*p + o - 2*o - 35, -3*p + 2*o = -30. Suppose -3 + 27 = p*h. Factor -2/9*i**5 - 2/9*i**h + 0*i**2 + 0 + 4/9*i**4 + 0*i.
-2*i**3*(i - 1)**2/9
Suppose y + 5 = 40. Suppose 5*o = v - 6*v + 90, 2*v - y = -o. Suppose -3*s**3 - v*s + 17*s + 5*s**2 - 2*s**3 - 10*s**4 = 0. Calculate s.
-1, 0, 1/2
Let s(o) be the second derivative of -o**4/21 - 22*o**3/21 - 20*o**2/7 - 149*o. Factor s(r).
-4*(r + 1)*(r + 10)/7
Let h(j) be the third derivative of -71*j**5/15 - j**4/3 + 133*j**2. Suppose h(w) = 0. Calculate w.
-2/71, 0
Let 1/3*r**4 + 3 + 4/3*r**3 - 2/3*r**2 - 4*r = 0. What is r?
-3, 1
Suppose -23*w = -28*w + 10. Let i(a) be the first derivative of 3/5*a**4 + 3 + 0*a + 8/5*a**w - 4/5*a**5 + 16/5*a**3. Let i(l) = 0. Calculate l.
-1, -2/5, 0, 2
What is b in 10/17*b**3 + 16/17*b**2 + 0 - 8/17*b = 0?
-2, 0, 2/5
Solve 1/2*n**2 - 27/2*n - 29 = 0 for n.
-2, 29
Find n, given that -13054*n - 179342 - 501601 - 3961*n - 3*n**3 - 16474*n - 549*n**2 = 0.
-61
Let c(t) be the second derivative of -t**6/70 + 3*t**5/28 - 3*t**4/28 - 9*t**3/14 - t - 6. Factor c(x).
-3*x*(x - 3)**2*(x + 1)/7
Suppose 0 = -2*a + r - 148, 0*r = 3*a + 2*r + 222. Let z = a + 79. Factor 4/7*i**2 - 2/7*i**3 + 6/7*i**z + 0 + 0*i - 8/7*i**4.
2*i**2*(i - 1)**2*(3*i + 2)/7
Let w(u) be the third derivative of -u**7/14 - 5*u**6/24 + 5*u**5/6 + 25*u**4/6 + 20*u**3/3 + 18*u**2. Solve w(g) = 0 for g.
-2, -1, -2/3, 2
Suppose -10*j = -0*j + 280. Let p be j/(-8) + 2 + (-9)/6. Factor 1/6*d - 1/6*d**5 + 0 - 1/3*d**p + 1/3*d**2 + 0*d**3.
-d*(d - 1)*(d + 1)**3/6
Let f(j) be the third derivative of 0*j**4 + 0 + 0*j - 15*j**2 + 0*j**3 + 0*j**5 + 1/1260*j**7 + 0*j**6. Determine c so that f(c) = 0.
0
Factor 113*u + 7 - 17*u - 5 - 2*u**2 + 198.
-2*(u - 50)*(u + 2)
Let z = -54 + 56. Factor o**4 - 7*o**4 + o**4 + 7*o**z - 2*o**2.
-5*o**2*(o - 1)*(o + 1)
Let h(l) be the third derivative of -l**6/240 + 73*l**5/360 - 31*l**4/48 + 23*l**3/36 + 29*l**2 - 1. What is r in h(r) = 0?
1/3, 1, 23
Let p = 127 - 116. Suppose -p*b = -16*b + 15. Suppose -132/7*k**2 - 2*k**4 + 88/7*k + 74/7*k**b - 16/7 = 0. What is k?
2/7, 1, 2
Let 25*c**5 - 2*c**3 + 10*c**4 - 48*c**5 + 21*c**5 - 42*c**2 + 36*c = 0. What is c?
-2, 0, 1, 3
Let q(r) be the first derivative of -r**6/6 - r**5/5 - r**2/2 + 18. Let n(h) = 3*h**5 - 4*h**3 + 4*h. Let b(o) = n(o) + 4*q(o). Factor b(f).
-f**3*(f + 2)**2
Let k be 4/(1 - 5)*(1 + 134). Let h be 30/k + (-76)/(-18). Let -h*f + 10 + 2/5*f**2 = 0. What is f?
5
Let g = 1109/165 - 3/55. Let y = -270 + 830/3. Determine n so that 2/3*n**5 + 10/3*n - 2/3 + y*n**3 - 10/3*n**4 - g*n**2 = 0.
1
Let l = -1477 - -7389/5. Find a, given that 0 + 2/5*a**3 + l*a**2 + 2/5*a = 0.
-1, 0
Factor -x**4 - 2*x**4 - 2*x**4 + x**4 - 2*x + 4*x + 4*x**2 - 2*x**5.
-2*x*(x - 1)*(x + 1)**3
Factor 5*w + 75*w**2 + 99*w**2 - 194*w**2 + 20 - 5*w**3.
-5*(w - 1)*(w + 1)*(w + 4)
Let i be (-9 + 306/42)/(-9). Let n(v) be the first derivative of -1/21*v**6 - 1/7*v**4 + 3/7*v**2 + i*v**3 - 6/35*v**5 + 2/7*v + 11. Factor n(o).
-2*(o - 1)*(o + 1)**4/7
Suppose 4*j = r - 5*r, -2*j - 6 = -r. Factor r*p**2 - 19 + 17 + 0*p**2.
2*(p - 1)*(p + 1)
Let l(g) be the third derivative of g**6/144 - g**5/45 - 19*g**4/144 - g**3/6 - 4*g**2 - 9. Solve l(p) = 0.
-1, -2/5, 3
Suppose -22/7*b - 15 - 1/7*b**2 = 0. Calculate b.
-15, -7
Let o(x) be the second derivative of 1/96*x**4 + 40*x - 1/4*x**3 + 9/4*x**2 + 0. Find k, given that o(k) = 0.
6
Find a, given that -156*a**3 + 45*a**4 - 336/5*a + 816/5*a**2 + 48/5 = 0.
2/5, 2/3, 2
Let u be 12/(-54) + (-29)/(-9). Suppose -2*h = -3*c + 4*c - 295, -158 = -h + u*c. Determine z so that h*z - 149*z + 2*z**2 = 0.
0
Let y be (1 - 4) + 1 + 0. Let i be ((-9)/12)/(y/8). Solve -8 + 20*n + 4*n**3 - 16*n**2 - n**3 + n**3 + 0*n**i = 0 for n.
1, 2
Let h = 10894 + -10882. Solve 3/2*c**2 + 9/2*c**3 - h*c + 6 = 0 for c.
-2, 2/3, 1
Let p(f) be the first derivative of -f**6/2 + 9*f**4/2 + 8*f**3 + 9*f**2/2 - 415. Factor p(q).
-3*q*(q - 3)*(q 