 + d + 62. Factor t(s).
-(s - 1)*(s + 3)*(33*s + 2)
Let d(g) be the first derivative of g**6/24 - 3*g**5/10 + g**4/16 + 2*g**3 + 2*g**2 - 350. Factor d(a).
a*(a - 4)**2*(a + 1)**2/4
Let n be (-9866)/(-90) - 2/9. Let b = -109 + n. Suppose -12/5*z - b*z**2 - 18/5 = 0. What is z?
-3
Let a(v) = -v**3 + v**2 + 2*v - 1. Let p(k) = 20*k**3 - 4*k**2 - 32*k. Let y(n) = -16*a(n) - p(n). Factor y(z).
-4*(z - 1)*(z + 2)**2
Let w(v) = 15*v**3 + 129*v**2 + 15*v - 33. Let x(r) = r - 10*r**3 - 2 + 30*r**3 + 2*r**2 - 19*r**3 + 6*r**2. Let b(n) = -2*w(n) + 33*x(n). Factor b(l).
3*l*(l + 1)**2
Suppose 5*k**3 + 182*k**2 + 51005*k - 865*k**2 + 75*k**2 - 402*k**2 = 0. Calculate k.
0, 101
Solve -1/4*f**4 + 124*f - 39*f**2 + 21/4*f**3 - 144 = 0.
4, 9
Factor 68*p**2 + 32 - 65*p**2 - 10*p + 49*p + 4.
3*(p + 1)*(p + 12)
Suppose o - 39 = -12*o. Suppose o*q + 3 = 0, -4*b + 0*q + 19 = q. Find l such that b + 5/3*l**2 - 20/3*l = 0.
1, 3
Let r(p) be the first derivative of 6/5*p**5 + 3/4*p - 3/4*p**3 - 8 + 15/8*p**4 - 3/2*p**2. Let r(y) = 0. What is y?
-1, 1/4, 1/2
Let l(i) = 5*i**4 - 26*i**3 + 45*i**2 + 24*i - 56. Let h(s) = 5*s**4 - 25*s**3 + 45*s**2 + 25*s - 55. Let r(q) = 4*h(q) - 5*l(q). Factor r(n).
-5*(n - 3)*(n - 2)**2*(n + 1)
Let s(u) be the first derivative of -u**7/840 - u**6/360 - 3*u**3 + 7. Let h(k) be the third derivative of s(k). Determine f, given that h(f) = 0.
-1, 0
Let p be (-70)/(-50) + 6/10. Suppose 2*w + 4*w = -p*w. What is f in 0 + w*f + 5/3*f**2 = 0?
0
Let t(u) = u**3 + u**2 - u + 6. Let o be t(0). Suppose -o = -5*a + 2*a. Factor 1/2*n**a - 1/2*n + 1/2*n**3 - 1/2.
(n - 1)*(n + 1)**2/2
Let n be -1*7 + 1515/202. Determine q so that 1 - 1/2*q**2 - n*q**4 - 3/2*q + 3/2*q**3 = 0.
-1, 1, 2
Let v(n) = n**2 - 35*n - 40. Let m(f) = -2*f**2. Let t(l) = 2*m(l) - v(l). Factor t(s).
-5*(s - 8)*(s + 1)
Let u(x) be the third derivative of x**5/180 - x**4/36 - x**3/6 + 9*x**2 - x. Factor u(i).
(i - 3)*(i + 1)/3
Let x(i) be the third derivative of -i**6/280 + 3*i**5/70 + i**4/8 - i**2 - 4. Suppose x(y) = 0. Calculate y.
-1, 0, 7
Let r(t) be the third derivative of -t**5/90 - 5*t**4/12 - 56*t**3/9 - 107*t**2 + 2*t. Let r(y) = 0. What is y?
-8, -7
Let j(p) be the second derivative of -p**6/1080 - p**5/180 + p**4/24 + p**3/3 - 14*p. Let o(a) be the second derivative of j(a). Factor o(g).
-(g - 1)*(g + 3)/3
Let o(v) be the first derivative of 2/9*v**3 - 1/12*v**4 - 11 - 2/3*v + 1/6*v**2. Factor o(w).
-(w - 2)*(w - 1)*(w + 1)/3
Let d(b) = -2*b**2 - 9*b + 8. Let m(r) = -6*r**2 - 26*r + 24. Let s(p) = -8*d(p) + 3*m(p). Factor s(y).
-2*(y - 1)*(y + 4)
Let z(o) be the second derivative of o**4/36 + 23*o**3/18 - 25*o**2/3 - 67*o. Factor z(f).
(f - 2)*(f + 25)/3
Let a = 28813/3900 + -96/13. Let j(k) be the third derivative of 0*k**4 + 0*k**3 + 0*k + 0 + a*k**5 + 5*k**2. Find y such that j(y) = 0.
0
Let r(f) be the third derivative of -f**7/210 + f**6/30 + 2*f**5/15 - 25*f**3/6 - 10*f**2. Let d(i) be the first derivative of r(i). Factor d(k).
-4*k*(k - 4)*(k + 1)
Suppose -36 - 20 = f. Let d be 6/(-8)*f/21. Factor 2*l**4 - l**3 - 4*l + 5*l**2 - 7*l**3 + 5*l**d.
2*l*(l - 2)*(l - 1)**2
Let o = 0 + 3. Suppose o*m + 30 = 5*q - 2*m, -m + 4 = 4*q. Factor 8/5*a - 16/5 + 4/5*a**q - 2/5*a**3.
-2*(a - 2)**2*(a + 2)/5
Solve -17621*v - 3267*v**3 - 2*v**5 - 35937*v**2 + 17621*v + v**5 - 99*v**4 = 0 for v.
-33, 0
Let r(k) = 11*k**3 - 271*k**2 - 565*k + 147. Let l(x) = 10*x**3 - 270*x**2 - 570*x + 146. Let c(q) = -5*l(q) + 6*r(q). Let c(o) = 0. Calculate o.
-2, 1/4, 19
Solve -568/5*p**3 - 32/5 - 448/5*p + 320*p**2 + 34*p**5 - 398/5*p**4 = 0.
-2, -1/17, 2/5, 2
Let p(n) be the second derivative of -7*n**4/12 - 65*n**3/6 - 29*n**2 - 39*n. Factor p(g).
-(g + 1)*(7*g + 58)
Let g(z) = -5*z + 322. Let t be g(64). Factor 3/5*i + 1/10*i**t + 9/10.
(i + 3)**2/10
Let a be (37/4 - 3) + 702/(-117). Determine x, given that a*x**3 + 1/4 + 3/4*x + 3/4*x**2 = 0.
-1
Let l be -1 + 0 + 5 + 0. Let r = 1 + l. Let p**r + p**5 - p**4 - 4*p**5 + 3*p**5 = 0. Calculate p.
0, 1
Let p(j) = 9*j**4 + 54*j**3 + 105*j**2 - 8*j - 4. Let h(w) = -17*w**4 - 107*w**3 - 210*w**2 + 14*w + 7. Let i(t) = -4*h(t) - 7*p(t). Factor i(b).
5*b**2*(b + 3)*(b + 7)
Let y = 1270 - 1268. Determine f, given that 0*f**y + 0*f - 1/2*f**3 + 0 = 0.
0
Let v = -24 + 27. Solve 168*h + 4*h**5 + 3*h**4 - 168*h - h**v = 0 for h.
-1, 0, 1/4
Let i(m) be the first derivative of m**4/102 + 5*m**3/51 + 6*m**2/17 - 19*m + 4. Let y(b) be the first derivative of i(b). Factor y(r).
2*(r + 2)*(r + 3)/17
Let y(g) be the third derivative of g**5/60 + 17*g**4/6 + 578*g**3/3 - 52*g**2. Find p such that y(p) = 0.
-34
Let d = 6 - -15. Let n be ((d/6)/7)/(7/10). Let 5/7*r**3 - n*r - 1/7 + 4/7*r**4 - 3/7*r**2 = 0. What is r?
-1, -1/4, 1
Let c(w) = -70*w**3 + 535*w**2 - 1060*w + 520. Let q(p) = -17*p**3 + 134*p**2 - 265*p + 130. Let u(f) = 6*c(f) - 25*q(f). Factor u(v).
5*(v - 26)*(v - 1)**2
Let s(v) be the first derivative of 20*v - 5/2*v**6 + v**5 + 16 - 15*v**3 + 55/4*v**4 - 10*v**2. Determine d, given that s(d) = 0.
-2, -2/3, 1
Let q(y) = -y**3 + y**2 + 2*y. Let b(o) = -7*o**3 + 25*o**2 - 56*o + 72. Let k(l) = -b(l) + 5*q(l). Factor k(i).
2*(i - 4)*(i - 3)**2
Suppose -7*d = d - 40. Suppose -4/13*v**4 - 8/13*v + 0 + 8/13*v**2 - 2/13*v**d + 6/13*v**3 = 0. What is v?
-2, 0, 1
Let d(z) be the third derivative of 1/315*z**7 + 1/180*z**6 + 0*z**4 + 0*z**3 - 1/90*z**5 + 0 + 0*z - 1/504*z**8 + 16*z**2. Factor d(c).
-2*c**2*(c - 1)**2*(c + 1)/3
Let d(i) be the second derivative of -2*i**6/3 - 7*i**5/4 - 5*i**4/6 + 5*i**3/6 + 2*i - 210. Factor d(w).
-5*w*(w + 1)**2*(4*w - 1)
Let f(b) be the second derivative of 2/21*b**4 + 0 - 4/21*b**3 + 5*b + 0*b**2 - 1/70*b**5. Factor f(q).
-2*q*(q - 2)**2/7
Find u, given that -32 + 52*u**3 + u**3 + 104*u + 29*u**3 + 3*u**5 - 8*u**3 - 20*u**4 - 128*u**2 - u**5 = 0.
1, 2, 4
Let x(v) be the third derivative of 1/126*v**8 - 1/360*v**5 + 0*v + 0*v**4 + 0 - 3*v**2 + 1/80*v**6 + 0*v**3 - 2/105*v**7. Suppose x(k) = 0. What is k?
0, 1/4, 1
Let j(o) = -21*o**2 + 24*o - 21. Let y(w) = -5 - 5*w**2 + 6*w + 2*w**2 - 2*w**2. Let f(z) = 4*z - 101. Let h be f(23). Let l(b) = h*y(b) + 2*j(b). Factor l(i).
3*(i - 1)**2
Suppose -23 = -11*n + 10. Factor 6*b**n + 6*b - 4*b - 3*b**4 - 3*b**2 - 2*b.
-3*b**2*(b - 1)**2
Let d(k) be the third derivative of 3*k**8/112 + k**7/30 - 47*k**6/120 + 37*k**5/60 - k**4/4 + 155*k**2. Factor d(c).
c*(c - 1)**2*(c + 3)*(9*c - 2)
Let o(f) be the third derivative of f**5/240 + 17*f**4/48 - 35*f**3/24 + 486*f**2. Suppose o(i) = 0. Calculate i.
-35, 1
Let l(d) be the second derivative of 0 - 1/9*d**3 - 1/6*d**4 + 0*d**2 - d + 7/120*d**5. Let l(j) = 0. What is j?
-2/7, 0, 2
Suppose 5*z - 44 = -19. Let r(x) be the second derivative of -9*x - 8*x**2 - 34/3*x**3 - 3/5*x**z + 0 - 16/3*x**4. Determine q so that r(q) = 0.
-4, -1, -1/3
Let f(n) be the first derivative of -1/2*n**2 - 5 + 2*n - 1/3*n**3. Factor f(a).
-(a - 1)*(a + 2)
Let w be (-58)/(-696) + (-1)/12. Let w*q - 1/2*q**2 + 0 - 1/2*q**3 = 0. What is q?
-1, 0
Let s(a) be the first derivative of -a**6/120 - a**5/60 + a**4/12 + 11*a**2 - 12. Let x(j) be the second derivative of s(j). Factor x(t).
-t*(t - 1)*(t + 2)
Let i(u) be the third derivative of u**7/42 - 2*u**6/3 - 10*u**5 - 160*u**4/3 - 440*u**3/3 - 18*u**2 - 5*u. Find y, given that i(y) = 0.
-2, 22
Let l(m) be the first derivative of -m**5/15 - 11*m**4/4 - 317*m**3/9 - 245*m**2/2 - 150*m - 579. Factor l(b).
-(b + 1)*(b + 2)*(b + 15)**2/3
Let v(x) be the first derivative of -15 + 5/3*x**3 + 0*x + 5/2*x**2. Determine h, given that v(h) = 0.
-1, 0
Let l(q) be the third derivative of -q**6/120 - q**5/5 - 3*q**4/2 - 116*q**2 - 2*q. Let l(a) = 0. What is a?
-6, 0
Let z(c) = c**2 - 6*c + 11. Let a be z(6). Factor -2 - a*d + 13*d + 2*d**2 - 3*d**3 + d**3.
-2*(d - 1)**2*(d + 1)
Let m(r) be the third derivative of 0*r**3 + 1/240*r**6 - 1/420*r**7 + 0*r**4 + 0*r**5 - 10 + 2*r**2 + 0*r. Let m(b) = 0. What is b?
0, 1
Let o(d) = -d**3 + 3*d**2 + 2*d - 2. Let x be o(3). Factor -7*k**3 - 6*k**4 - k**3 - 2*k**x - 2*k**2.
-2*k**2*(2*k + 1)**2
Let c(x) be the first derivative of x**7/4620 - x**5/660 - 5*x**3/3 + 4. Let a(h) be the third derivative of c(h). Factor a(f).
2*f*(f - 1)*(f + 1)/11
Let p = 1992 + -1992. Let h(l) be the third deriva