3, -1, -2/3
Let b(q) be the first derivative of -q**8/420 - q**7/105 + q**6/18 + q**5/5 + 8*q**3 - 28. Let r(n) be the third derivative of b(n). Factor r(d).
-4*d*(d - 2)*(d + 1)*(d + 3)
Let q(c) be the second derivative of c**4/9 - 5*c**3/3 - 8*c**2/3 + 6*c - 4. Factor q(z).
2*(z - 8)*(2*z + 1)/3
Find b, given that 72*b**3 + 57 + 406 - 109*b + 1283*b + 3*b**4 + 549*b**2 + 206*b + 437 = 0.
-10, -3, -1
Let q(a) = -95*a + 5. Let b be q(-3). Suppose -5*n + n + 252 = 0. Factor 479*o**2 - 71*o**2 + 50*o**4 - n*o + b*o**3 + 263*o + 48 - 16.
2*(o + 1)*(o + 4)*(5*o + 2)**2
Let a be (7/((-84)/8))/(-100). Let n(v) be the second derivative of 11*v - a*v**6 + 0*v**4 - 1/210*v**7 + 0 + 1/50*v**5 + 0*v**3 + 0*v**2. Factor n(j).
-j**3*(j - 1)*(j + 2)/5
Factor -6*b**3 + 102*b**2 - 867/2*b + 0.
-3*b*(2*b - 17)**2/2
Let i(f) be the third derivative of -f**6/210 + f**5/70 + f**4/42 - 4*f**2 + 28. Let i(p) = 0. What is p?
-1/2, 0, 2
Let s be 6 + 0 + (-8)/8. Find m such that 3 + 2*m**4 + 11*m**2 - 3*m**4 + 8*m - s*m**2 = 0.
-1, 3
Let t be 12/(-88)*(-16)/12. Let b be 8/(-6)*(-3)/66*3. Factor -b*z**2 + 0 - t*z**4 + 0*z + 4/11*z**3.
-2*z**2*(z - 1)**2/11
Let d(o) be the second derivative of 0*o**3 + 0*o**2 + 0*o**4 - 2/5*o**6 - 3*o + 0 - 1/21*o**7 - 9/10*o**5. Factor d(f).
-2*f**3*(f + 3)**2
Let d be (-145)/(-45) - (-4)/(-18). Factor 0*f - 6*f - d*f**2 + 7*f - 4*f.
-3*f*(f + 1)
Let z = -9 - -4. Let a(d) = -d**3 - 4*d**2 + 4*d - 3. Let x be a(z). Find t, given that -9*t**5 - t**4 + t**3 - 3*t**x + 4*t**2 + 4*t**3 + 4*t**4 = 0.
-1/3, 0, 1
Let l(g) = 3*g**3 + 21*g**2 - 62*g. Let y(k) = k**3 + 7*k**2 - 21*k. Let m(s) = 3*l(s) - 8*y(s). What is p in m(p) = 0?
-9, 0, 2
Suppose -i = -3*a, -a = 31*i + 31*i - 67*i. Factor i - 3/4*d**3 + 3/4*d - 3/4*d**4 + 3/4*d**2.
-3*d*(d - 1)*(d + 1)**2/4
Let w(q) be the first derivative of 6*q**3/23 - 16*q**2/23 - 8*q/23 + 58. Factor w(u).
2*(u - 2)*(9*u + 2)/23
Let c(h) be the second derivative of 0 - 3/40*h**5 - 19*h - 1/4*h**4 + 0*h**3 + 1/20*h**6 + 0*h**2. Let c(o) = 0. What is o?
-1, 0, 2
Let t(n) = -n**2 - 2*n + 7. Let w be t(-6). Let x = w - -20. Determine d so that d + 2*d**3 + 6*d**2 - d**x - 4*d**2 = 0.
-1, 0
Let s(r) be the third derivative of r**9/60480 + r**8/10080 + r**7/5040 + 7*r**5/20 - 7*r**2. Let w(c) be the third derivative of s(c). Let w(j) = 0. What is j?
-1, 0
Let v(u) be the second derivative of 2*u**7/21 - 4*u**6/15 - 172*u. Factor v(f).
4*f**4*(f - 2)
Find s such that 9/2*s + 0 - 21/2*s**3 - 33/2*s**4 + 33/2*s**2 + 6*s**5 = 0.
-1, -1/4, 0, 1, 3
Let z be (-16)/(-6)*12/8. Let p be (0 - (-5 + z)) + (1 - -1). Determine v so that -2/7*v - 4/7*v**2 + 6/7*v**p + 0 = 0.
-1/3, 0, 1
Let n = -26585/24 - -1108. Let m = n - -3/8. Let 18*y - 18 + m*y**3 - 6*y**2 = 0. What is y?
3
Let d(x) be the third derivative of x**7/630 - x**6/72 - 7*x**5/60 + 85*x**4/72 + 50*x**3/9 + 2*x**2 - 37*x. Factor d(y).
(y - 5)**2*(y + 1)*(y + 4)/3
Let g(d) = d + 12. Let p be g(-9). Suppose -6*k + p*k + 54 = 0. Suppose 6*a**5 - 9*a**4 - 4*a + 6*a**3 + k*a**2 - 5*a**4 - 12*a**2 = 0. Calculate a.
-2/3, 0, 1
Let r(n) be the third derivative of -n**5/420 + n**4/7 - 23*n**3/42 + 149*n**2. Factor r(y).
-(y - 23)*(y - 1)/7
Let l(m) be the second derivative of -m**6/540 - m**5/54 - m**4/36 + m**3/3 - 10*m**2 - 3*m. Let t(b) be the first derivative of l(b). Factor t(j).
-2*(j - 1)*(j + 3)**2/9
Factor 15472*u**2 - 62*u + 60*u - 15471*u**2.
u*(u - 2)
Let q = 29/50 - 2/25. Let z be (-77 - -78)*-1*(0 + -5) - 2. Determine a, given that q*a - 1/2*a**z - 1/2 + 1/2*a**2 = 0.
-1, 1
Let x = 9561/47780 + -1/9556. Determine i, given that -11/5*i - 4/5 - 1/5*i**3 - 9/5*i**2 + x*i**4 = 0.
-1, 4
Let v(s) = s**3 - 7*s**2 + 2*s - 10. Let o be v(7). Let z(h) be the first derivative of -o + 0 + 2*h + h + h**3 + 3*h**2. Suppose z(d) = 0. Calculate d.
-1
Let g = 48 + -31. Let n = 20 - g. Solve f - 1/4 - f**n + 3/4*f**4 - 1/2*f**2 = 0.
-1, 1/3, 1
Let k(u) = 0*u**2 + 7 + 5*u + 2*u**2 - 4*u**2. Let h(g) = 13 - 4*g**2 + 7*g + 6*g + 0*g**2 - 4*g. Let f(d) = -3*h(d) + 5*k(d). Factor f(s).
2*(s - 2)*(s + 1)
Suppose 17*x = -82 + 52 + 64. What is n in 6/7*n**3 + 0 - 16/7*n**x + 8/7*n = 0?
0, 2/3, 2
Let z be 3*8/(-10)*(-21)/21. Factor 0*s - 6/5 + z*s**3 + 18/5*s**2.
6*(s + 1)**2*(2*s - 1)/5
Let 65/3*d**4 - 46/3*d**3 + 7/3*d - 25/3*d**5 - 2/3*d**2 + 1/3 = 0. What is d?
-1/5, 1
Let h(q) be the third derivative of 3*q**8/112 - 11*q**7/14 - 21*q**6/20 + 37*q**5/10 + 39*q**4/8 - 19*q**3/2 - 521*q**2. Solve h(x) = 0 for x.
-1, 1/3, 1, 19
Let q be 135/315 - 18/(-56). Let f(g) be the third derivative of q*g**4 + 1/20*g**5 - 8*g**2 + 0 + 9/2*g**3 + 0*g. Factor f(r).
3*(r + 3)**2
Let q(y) be the second derivative of -y**7/168 + y**6/18 - y**5/6 - 5*y**3/3 + 3*y. Let a(d) be the second derivative of q(d). Let a(t) = 0. Calculate t.
0, 2
Let c(a) be the first derivative of 1/12*a**4 - 1 + 2/3*a + 5/6*a**2 + 4/9*a**3. Factor c(f).
(f + 1)**2*(f + 2)/3
Let r(u) = -u**3 - 11*u**2 + 5*u + 6. Let a be r(-11). Let n = a - -51. Factor 1/3*l**3 + 7/3*l + 5/3*l**n + 1.
(l + 1)**2*(l + 3)/3
Let g(a) be the third derivative of 0*a**3 - 1/1008*a**8 - 1/630*a**7 + 1/180*a**6 + 0 - 17*a**2 + 0*a + 0*a**5 + 0*a**4. Let g(i) = 0. What is i?
-2, 0, 1
Let a(g) = 5*g + 2. Let o(w) = -w**2 - 40*w + 10. Let c(t) = -14*a(t) - 2*o(t). Let c(y) = 0. Calculate y.
-8, 3
Let b be (((-40)/75)/4)/(6/(-5)). Let k(n) be the first derivative of 6 + b*n**3 + 1/3*n**2 + 0*n. Factor k(r).
r*(r + 2)/3
Let n(b) be the first derivative of b**6/2 - 3*b**5 + 9*b**4/4 + 5*b**3 - 6*b**2 - 69. Determine v, given that n(v) = 0.
-1, 0, 1, 4
Suppose -5823 - 408*b - 8049 + 0*b**2 - 3*b**2 = 0. What is b?
-68
Let y be (-20)/(-6)*-3*2/(-24). Let g(w) be the second derivative of -5/2*w**5 - 3*w + y*w**4 + 16/3*w**3 + 0 + 4*w**2. Solve g(z) = 0.
-2/5, 1
Let a be (-111)/2310*-2 + 20/(-210). Let j(b) be the third derivative of 0 + a*b**7 + 0*b**6 + 8*b**2 + 0*b**3 + 0*b**4 + 0*b - 1/330*b**5. Factor j(g).
2*g**2*(g - 1)*(g + 1)/11
Let s(y) = -96*y - 12*y**2 - 185 + 3*y**2 - 10*y**2. Let i(b) = -13*b**2 - 64*b - 123. Let q(h) = 7*i(h) - 5*s(h). Solve q(l) = 0 for l.
-4
Suppose u - 3*u = -8. Let f be 34/11 + 3372/(-3091). Factor 1/5*s + 1/5*s**f - 1/5*s**u - 1/5*s**3 + 0.
-s*(s - 1)*(s + 1)**2/5
Solve -b**2 + 17/3 - 50/3*b = 0.
-17, 1/3
Let c = -19 + 19. Suppose -43*v**2 + 0 + 28*v - 8 + 7*v**2 + c + 20*v**3 - 4*v**4 = 0. What is v?
1, 2
Let m(n) be the third derivative of -7/12*n**5 + 5*n**3 + 0 + 95/24*n**4 + 2*n - 22*n**2. Factor m(t).
-5*(t - 3)*(7*t + 2)
Let k be (36/(-15))/(1 + (-92)/80). Let -56*n**2 - 81*n**5 - 60*n**3 + 154*n**5 - 77*n**5 - k*n - 26*n**4 = 0. What is n?
-2, -1/2, 0
Let z(w) = -3*w**2 - 36*w - 39. Let p(k) = 16*k**2 + 180*k + 197. Let l(i) = -4*p(i) - 22*z(i). Let l(n) = 0. What is n?
-35, -1
Suppose 4*x + 457*v - 453*v - 20 = 0, 0 = 5*x - 4*v - 7. What is r in 0*r + 8/3*r**2 + 2*r**4 - 4*r**x + 0 - 1/3*r**5 = 0?
0, 2
Factor 93/4*s + 45/2 + 3/4*s**2.
3*(s + 1)*(s + 30)/4
Determine g so that 2*g**3 - 24*g + 564*g**4 - 565*g**4 - 193 + 23*g**2 + 49 = 0.
-3, 4
Suppose -4*s + 100 = 4*o, s + 4*o - 60 = -s. Suppose -8 + s = 4*z. Factor 1/5*g + 0 - 3/5*g**z - 2/5*g**4 + 0*g**2.
-g*(g + 1)**2*(2*g - 1)/5
Let w(b) be the second derivative of 7*b**4/54 + b**3/9 - 26*b. Factor w(a).
2*a*(7*a + 3)/9
Let k(b) = -10*b**2 + 29*b + 19. Let a = -48 - -37. Let l(w) = 30*w**2 - 86*w - 56. Let t(g) = a*k(g) - 4*l(g). Factor t(o).
-5*(o - 3)*(2*o + 1)
Let c(a) be the third derivative of -1/40*a**6 + 0*a**3 + 0*a + 26*a**2 + 0 - 1/20*a**5 + 1/112*a**8 + 1/70*a**7 + 0*a**4. Factor c(n).
3*n**2*(n - 1)*(n + 1)**2
Let s(r) be the second derivative of r**6/315 + 4*r**5/105 + r**4/18 - 4*r - 28. Factor s(i).
2*i**2*(i + 1)*(i + 7)/21
Let f(p) be the second derivative of -1/6*p**3 + 30*p + 1/36*p**4 + 0*p**2 + 0. Let f(q) = 0. Calculate q.
0, 3
Let z(d) = -6*d**3 - 68*d**2 - 47*d + 16. Let f(t) = 3*t**3 + 2*t**2 + 2. Let r(l) = -f(l) + z(l). Factor r(h).
-(h + 1)*(h + 7)*(9*h - 2)
Let i = -734 - -737. Let q(p) be the third derivative of -9/20*p**5 - 8*p**3 + 0 + i*p**4 + 1/40*p**6 - 6*p**2 + 0*p. Let q(y) = 0. Calculate y.
1, 4
Let g = -1/318 - -239/159. Factor n + 0 + g*n**3 + 5/2*n**2.
n*(n + 1)*(3*n + 2)/2
Let i(y) be the third derivative of y**8/2