derivative of 45*o**7/14 - 233*o**6/10 + 162*o**5/5 - 3*o**4 - 8*o**3 - 169*o. What is w in k(w) = 0?
-2/9, 0, 2/5, 1, 4
Let v(h) be the first derivative of h**8/588 - 11*h**7/735 + h**6/84 + 7*h**2 + 14. Let m(q) be the second derivative of v(q). Factor m(k).
2*k**3*(k - 5)*(2*k - 1)/7
Let i(y) be the second derivative of -5*y**4/2 - 155*y**3/6 - 45*y**2 - 50*y. Determine b, given that i(b) = 0.
-9/2, -2/3
Let v(b) = b**3 + 4*b**2 + 3. Let a be v(-4). Solve 31*w**3 - 15*w + 3*w**2 - 28*w**a + 9 + 0 = 0.
-3, 1
Let n(j) be the first derivative of 3*j**2 - 19 + 18*j + 1/6*j**3. Factor n(i).
(i + 6)**2/2
Let j(f) be the third derivative of -f**6/360 + 4*f**5/45 + 19*f**4/72 - 17*f**3/9 + 446*f**2. Factor j(n).
-(n - 17)*(n - 1)*(n + 2)/3
Let u(s) be the second derivative of -4*s + 0*s**6 + 5/6*s**4 + 0 - 5*s**2 + 5/2*s**3 + 5/42*s**7 - s**5. Factor u(k).
5*(k - 1)**3*(k + 1)*(k + 2)
Let z = 34655/11142 + 1/1238. What is t in z*t - 2/9*t**2 - 98/9 = 0?
7
Suppose -16*d - 140*d = 0. What is b in -2/3*b**3 + 2/3*b**2 + d + 0*b = 0?
0, 1
Let g(t) = 29792*t**4 - 21143*t**3 - 7811*t**2 - 810*t - 26. Let l(o) = -o**4 + o**3 - o**2 - 1. Let n(h) = 2*g(h) + 2*l(h). Solve n(u) = 0.
-3/31, 1
Suppose -120*p + 1323 + 3*p**2 - 29*p + 23*p = 0. Calculate p.
21
Suppose r - 5*h - 15 = 8, 3*r - 25 = 4*h. Factor -23*q**3 + 16*q**3 - 15*q**2 + 6*q + 19*q**3 - r*q**4.
-3*q*(q - 2)*(q - 1)**2
Let y(p) = 35*p**3 + 37*p**2 - 236*p + 36. Let q(k) = 71*k**3 + 73*k**2 - 473*k + 72. Let b(z) = 4*q(z) - 7*y(z). Factor b(c).
3*(c - 2)*(c + 3)*(13*c - 2)
Let n(g) be the second derivative of g**6/60 - 3*g**5/40 + g**4/8 - g**3/12 - 75*g. Factor n(f).
f*(f - 1)**3/2
Let a be -3*854/(-2520) - (0 + 1). Let j(d) be the second derivative of 2/5*d**2 + 6*d + 0 - 2/15*d**3 + a*d**4. Suppose j(z) = 0. Calculate z.
2
Let h(f) be the second derivative of 1/54*f**4 + 2/27*f**3 + 0 - 6*f + 0*f**2. Factor h(b).
2*b*(b + 2)/9
Factor 48 - 4/5*g**2 - 236/5*g.
-4*(g - 1)*(g + 60)/5
Suppose -6835*z**2 - 6120*z + 6115*z**3 - 35*z**5 + 350*z**4 + 6480 + 40*z**5 + 5*z**4 = 0. What is z?
-36, -1, 1
Let c(i) be the second derivative of -i**5/20 + 17*i**4/8 + 9*i**3/4 - 13*i**2/2 - 5*i + 18. Factor c(t).
-(t - 26)*(t + 1)*(2*t - 1)/2
Let r = -21 - -25. Let d be ((-2)/(-8))/(7*r/28). What is g in 1/4*g**2 + 0*g + 0 - d*g**3 = 0?
0, 1
Let i(k) be the second derivative of 0 - 1/80*k**6 + 0*k**4 + 0*k**3 + 0*k**2 - 18*k + 9/160*k**5. Factor i(x).
-3*x**3*(x - 3)/8
Let i(p) be the second derivative of p**4/48 - 5*p**3/12 - 11*p**2/8 - 55*p. Factor i(a).
(a - 11)*(a + 1)/4
Factor -q**2 + 8*q - 97*q + 2*q + 43*q.
-q*(q + 44)
Solve -1/3*c**3 - 4/3 + 4/3*c**2 + 1/3*c = 0 for c.
-1, 1, 4
Let i = -43487/4 + 10874. Solve 3/4*t**5 - i*t - 9/2*t**3 - 6*t**2 + 0 + 0*t**4 = 0 for t.
-1, 0, 3
Suppose -4*o - 4*h = 4, -2*h = 2*o - 3*h - 1. Suppose o*i = 4*i - 12. Factor -12*s**4 - s - 3*s**5 + 6*s**i - 2*s - 14*s**3 - 12*s**2 - 10*s**3.
-3*s*(s + 1)**4
Let t(c) be the first derivative of 2*c**3/21 + c**2 - 36*c/7 + 60. Solve t(l) = 0 for l.
-9, 2
Determine q, given that -6885/7*q**2 - 6561/7*q**3 - 4/7 - 328/7*q = 0.
-1, -2/81
Let q(h) be the third derivative of 1/55*h**5 + 7/132*h**4 + 0 - 20*h**2 - 1/660*h**6 + 0*h + 0*h**3. Factor q(t).
-2*t*(t - 7)*(t + 1)/11
Let o = -1406 + 1406. Let c = 19 - 19. Factor o*p + c - 1/3*p**2 - 1/3*p**3.
-p**2*(p + 1)/3
Let d = 16 - 13. Factor 7*a**3 - 18*a - 2*a**2 + 8*a - 5*a**d - 6.
2*(a - 3)*(a + 1)**2
Let c(v) = -v**2 - 9*v - 11. Let a be c(-8). Let o be 2/1 - (-3 - a). Factor 0*x**2 + 2*x + 4*x**o - 2*x**2.
2*x*(x + 1)
Let d(u) = -u**3 - 18*u**2 - 17*u + 2. Let h be d(-17). Factor 4*a**3 - 34*a**2 + 13*a - 13*a + 32*a**2 - h*a**4.
-2*a**2*(a - 1)**2
Let h(i) be the third derivative of 1/12*i**3 + 0 + 0*i**4 - 1/120*i**5 + 0*i - 15*i**2. Factor h(b).
-(b - 1)*(b + 1)/2
Let z(o) = 5*o**2 + 5*o - 3. Let c(d) = -33*d**2 - 25*d + 21. Let w(l) = l**2 - l - 1. Let y(m) = -c(m) - 4*w(m). Let i(u) = 6*y(u) - 34*z(u). Factor i(v).
4*v*(v + 1)
Let c(g) = g**3 - 17*g**2 + 1. Let m be c(17). Let n be 5 + 17 + -1*m. Find d such that 16*d**2 - n*d**4 + 3*d + 9*d**3 + 5*d**2 - 15*d**5 + 3*d = 0.
-1, -2/5, 0, 1
Let y(i) = -2*i**3 - 150*i**2 - 2592*i - 6. Let n(d) = -2*d**3 - 149*d**2 - 2592*d - 5. Let w(m) = -6*n(m) + 5*y(m). Let w(l) = 0. What is l?
-36, 0
Let r(u) be the third derivative of -u**6/5 + 31*u**5/15 - 4*u**4 - 30*u**3 + 27*u**2. What is s in r(s) = 0?
-5/6, 3
Let h(y) = 12*y**2 - 20*y - 6. Let f be h(5). Factor 147*s**3 + 34*s + f*s + 630*s**2 + 6 - 1029*s**4 + 18.
-3*(s - 1)*(7*s + 2)**3
Let u(w) be the second derivative of -w**4/6 - 5*w**3 + 34*w**2 - 3*w + 5. Factor u(k).
-2*(k - 2)*(k + 17)
Let f be (-4 - (768/(-100))/2)*-10. Let v = f + -43/30. Factor 1/3*r - 1/3*r**3 - v*r**4 + 1/6*r**2 + 0.
-r*(r - 1)*(r + 1)*(r + 2)/6
Suppose 5*x**3 + 96*x + 437 - 149 - 3*x**4 - 22*x**2 + 2*x**4 + 0*x**4 - 16*x**3 = 0. Calculate x.
-6, -4, 3
Let u(o) be the third derivative of -5*o**8/8064 - o**7/2016 - 23*o**5/60 - 8*o**2. Let b(x) be the third derivative of u(x). Solve b(w) = 0.
-1/5, 0
Factor -197*d**2 - 187*d**3 + 5*d**3 - 4*d**4 - 18*d**3 - 8*d - 41*d.
-d*(d + 49)*(2*d + 1)**2
Solve 20*w**4 + 13*w**3 + 5*w**3 - 728*w**5 + 7*w**3 + 723*w**5 = 0.
-1, 0, 5
Suppose r + 2*k - 11 = 0, -3*k - 186 = 3*r - 207. Solve 18*q**2 + 384 - 144*q - 3/4*q**r = 0 for q.
8
Suppose 2/3*t + 16/3*t**2 - 16/3 - 2/3*t**3 = 0. What is t?
-1, 1, 8
Let c be 2/6*(46 + 5). Let n = 20 - 17. Find f such that 3*f**2 - c + 17 + n*f = 0.
-1, 0
Solve 375/7*c**2 - 12/7*c**3 - 453/7*c + 90/7 = 0.
1/4, 1, 30
Let t be (18*11/(-100))/(12/10). Let v = -7/5 - t. Let -1/2*h + v + 1/4*h**2 = 0. What is h?
1
What is r in -3/4*r**3 + 15/2*r + 0 - 9/4*r**2 = 0?
-5, 0, 2
Let p(m) be the first derivative of m**3/9 - 3*m**2 + 80*m/3 - 586. Factor p(b).
(b - 10)*(b - 8)/3
Let c = 134 - 132. Let a(h) be the first derivative of -c*h**2 - 8*h - 8 + 4/3*h**3. Determine u, given that a(u) = 0.
-1, 2
Let l(i) be the third derivative of -i**7/280 + i**6/60 - i**5/40 + i**3/3 - 2*i**2. Let t(v) be the first derivative of l(v). Suppose t(a) = 0. What is a?
0, 1
Let h(f) = -f**3 - 59*f**2 - 109*f - 6429. Let o be h(-59). Determine z so that 2/13*z**4 + 32/13*z**o + 24/13*z + 0 + 14/13*z**3 = 0.
-3, -2, 0
Let m(l) be the second derivative of -l**7/14 - 3*l**6/10 + 3*l**5/5 + 4*l**4 - 24*l**2 + 2*l - 161. Determine u so that m(u) = 0.
-2, 1, 2
Let h(t) = t**3 - 2*t**2 + 4*t - 8. Let p be h(2). Let o(f) be the second derivative of -5/24*f**4 + 7*f - 3/2*f**2 + 17/12*f**3 + p. Factor o(u).
-(u - 3)*(5*u - 2)/2
Suppose -14*v + 80 = -6*v. Solve -x + 14*x - 2*x**2 - v*x = 0.
0, 3/2
Let 6144 - 232891*i**2 + 30*i**3 + 30*i**3 + 2*i**4 + 233563*i**2 + 3328*i = 0. What is i?
-8, -6
Let z = -3 - -5. Let p(w) = w**3 + w**2 - w - 1. Let n(h) = -21*h**2 + 8*h**2 + 4*h + 7*h**2 + 8*h**2 + 2. Let j(l) = z*p(l) + n(l). Factor j(s).
2*s*(s + 1)**2
Let p(z) = -z**2 + 5. Let n(y) = 1. Suppose 0 = -4*c + 8. Suppose 0 = -2*i - 3*m + 2, -2*i - i - 2*m = c. Let s(g) = i*n(g) + 2*p(g). Factor s(d).
-2*(d - 2)*(d + 2)
Let x(q) be the first derivative of -2*q**5/5 - 7*q**4/2 - 34*q**3/3 - 17*q**2 - 12*q + 195. Find a such that x(a) = 0.
-3, -2, -1
What is l in -4*l - 2/7*l**3 - 2*l**2 - 16/7 = 0?
-4, -2, -1
Factor -37/3*p**3 + 5/3*p**4 + 0*p + 0 - 8*p**2.
p**2*(p - 8)*(5*p + 3)/3
Suppose 2*c + 5*l - 1658 = -2*c, -l + 1666 = 4*c. Let 44 + 81*b + c + 5*b**2 + 49*b + 384 = 0. What is b?
-13
Let d be (8/(-11))/((-1218)/957). Find t, given that 6/7*t - 4/7 + d*t**2 = 0.
-2, 1/2
Let o(x) be the third derivative of -x**6/720 + 37*x**5/60 - 1369*x**4/12 + 101306*x**3/9 + 253*x**2 - 1. Solve o(u) = 0 for u.
74
Let t(s) be the second derivative of s**5/40 - 29*s**4/8 + 841*s**3/4 - 24389*s**2/4 + 48*s + 1. Let t(m) = 0. Calculate m.
29
Let p(o) be the second derivative of -o**6/165 - 21*o**5/110 - 3*o**4/11 + 40*o**3/33 - 58*o. What is j in p(j) = 0?
-20, -2, 0, 1
Let s be 0/(-1) + (-21)/(-3) - -3. Determine r, given that s*r**2 + 4*r**4 + 10*r**2 - 8*r - 2*r**3 - 14*r**3 = 0.
0, 1, 2
Suppose -3*y = -0 - 30. Let u = -8 + y. Factor -9*v**3 - u*v**5 + 6*v + 26*v**2 - 29*v**2 + 3*v**4 + 5*v**5.
3*v*(v - 1)**2*(v + 1)*(v + 2)
Let w(a) = -55*a**3 - 150*a**2 + 25*a. Let i(c) be the thir