e second derivative of -o**6/10 + 27*o**5/2 - 66*o**4 + 131*o**3 - 261*o**2/2 + 83*o + 13. Solve j(v) = 0 for v.
1, 87
Let m be -9*7/7 - ((-2106)/91 + 14). Let 1/7*j**3 + 0 + 0*j**2 + 0*j - m*j**5 + 0*j**4 = 0. What is j?
-1, 0, 1
Let k = 4/318767 - -637498/2868903. Let 64/9 - k*w**3 - 10/3*w**2 + 4*w = 0. What is w?
-16, -1, 2
Let t = 137 + -355/2. Let d = 163/4 + t. Let -9/4 + d*z**3 + 3/4*z + 5/4*z**2 = 0. What is z?
-3, 1
Let y(h) = 2*h**5 - 13*h**3 - h**2 + 1. Let z(d) = 9*d**5 - 33*d**3 - 35*d**2 - 31*d + 35. Let o(n) = -5*y(n) + z(n). Determine u so that o(u) = 0.
-6, -1, 1, 5
Let a be (-3)/7 - 95490/(-252). Let g = a + -377. Factor -g*s**4 - 9/2*s**3 + 9/2*s + 3/2*s**2 + 0.
-3*s*(s - 1)*(s + 1)*(s + 3)/2
Let h be 80/(-15) + 6 + (-775)/(-930). Factor 0 - h*c - 3/8*c**3 + 15/8*c**2.
-3*c*(c - 4)*(c - 1)/8
What is r in 1/5*r**5 - 17/5*r**3 - 92/5*r - 2/5*r**4 + 14*r**2 + 8 = 0?
-5, 1, 2
What is k in -3000/7*k - 4/7*k**2 - 562500/7 = 0?
-375
Find o, given that 60/19 + 34/19*o - 24/19*o**2 + 2/19*o**3 = 0.
-1, 3, 10
Factor 710/3*h**3 + 0 + 28/3*h - 1658*h**2.
2*h*(h - 7)*(355*h - 2)/3
Let s(d) = -13*d - 256. Let j be s(-20). Suppose j*n - 1714 = -1698. Determine a so that 17*a**3 - 27/4*a**2 + 3/2 + 3*a**n - 17/4*a = 0.
-6, -1/2, 1/3, 1/2
Let q(u) be the second derivative of u**4/12 + 25*u**3/6 + 23*u**2 - 55*u - 1. Let g be q(-23). Factor g + 4/5*d**3 + 2/5*d + 1/5*d**4 + d**2.
d*(d + 1)**2*(d + 2)/5
Determine t so that -178/13*t - 180/13 + 2/13*t**2 = 0.
-1, 90
Let f = -559556 + 559558. Suppose -24/11 + 2*i + 2/11*i**f = 0. What is i?
-12, 1
Solve -10061824000 - 5067*h**3 - 16320*h**2 + 10215*h**3 - 22195200*h - 5152*h**3 = 0 for h.
-1360
Suppose -20*i - 12 = -26*i. Find x, given that 802*x**3 - 797*x**3 + 80*x + 8*x**i + 42*x**2 = 0.
-8, -2, 0
Let q = -64 - -66. Let v = 4 - 0. Factor -2*j**5 - 2*j**v + 2*j**2 - 3*j**2 + 3*j**5 + 3*j**q - j.
j*(j - 1)**3*(j + 1)
Let t be (-11)/((-770)/(-40)) - 436/(-28). Let k be (-11 + 10)*7/((-21)/t). Suppose 1/6*a**k + 0 - 1/2*a**3 + 0*a + 1/3*a**2 + 0*a**4 = 0. Calculate a.
-2, 0, 1
Determine q so that -57710988/13*q**2 - 2/13*q**4 - 46257751888002/13 - 17544/13*q**3 - 84373464456/13*q = 0.
-2193
Find t, given that 17/3 + 21/2*t**2 - 13/6*t**3 - 83/6*t - 1/6*t**4 = 0.
-17, 1, 2
Let r(u) be the second derivative of -3/91*u**7 - 331/130*u**5 - 122/39*u**4 + 0*u**2 - 4/5*u**6 + 1 + 30*u - 20/13*u**3. Let r(q) = 0. Calculate q.
-15, -1, -2/3, 0
Let z(w) be the first derivative of 0*w**2 + 0*w - 1/12*w**4 - 5/18*w**6 + 85 + 2/9*w**3 - 8/15*w**5. Find y, given that z(y) = 0.
-1, 0, 2/5
Let o be 39*6/(-36)*-2. Let j(f) = -15*f + 197. Let i be j(o). Solve 2/5*b + 0 - 2/5*b**i = 0 for b.
0, 1
Suppose 41 - 20 = 4*u + 9. Let d(k) be the second derivative of -1/12*k**4 + 0 - 32*k + u*k**3 - 81/2*k**2. What is o in d(o) = 0?
9
Solve -363/2*i**4 - 38181*i**3 - 728910*i - 4029807/2*i**2 - 66150 = 0.
-105, -2/11
Let h(x) be the first derivative of x**6/8 + 15*x**5/4 + 93*x**4/8 - 761*x**3/2 - 9405*x**2/8 - 4725*x/4 - 8213. Solve h(n) = 0 for n.
-15, -1, 7
Let j(s) = -s**5 + s**4 + s**3 - s**2. Let m(h) = -7*h**5 + 217*h**4 - 613*h**3 + 603*h**2 - 200*h. Let y(q) = -2*j(q) + m(q). Determine r, given that y(r) = 0.
0, 1, 40
Suppose 0 = 39*o - 13 + 31 - 213. Let f(b) be the second derivative of -185/12*b**4 + 5/2*b**o + 0 - 1/6*b**6 - 29*b + 50*b**3 - 90*b**2. Solve f(k) = 0 for k.
2, 3
Let x = -2366/159 - -824/53. Factor 4/3 - 4/3*p**2 - 2/3*p**3 + x*p.
-2*(p - 1)*(p + 1)*(p + 2)/3
Let t(m) be the third derivative of m**6/300 + m**5/75 + 37*m**2 + 4. Factor t(b).
2*b**2*(b + 2)/5
Let q(u) be the first derivative of -4*u**5/25 - 4*u**4/5 + 148*u**3/15 + 248*u**2/5 + 336*u/5 + 1725. Solve q(o) = 0.
-7, -2, -1, 6
Let c(z) be the third derivative of 7/48*z**4 + 1/240*z**5 - 49*z + 0 + 0*z**3 - 2*z**2. Find u such that c(u) = 0.
-14, 0
Let u(l) be the first derivative of 22*l**5/35 + 901*l**4/7 + 6494*l**3/21 + 1132*l**2/7 - 648*l/7 + 3117. Let u(w) = 0. Calculate w.
-162, -1, 2/11
Let a be 5*(-8)/(-20)*(3 - 16). Let l be (2/7)/(a/(-104)). Suppose l - 16/7*c - 10/7*c**2 = 0. What is c?
-2, 2/5
Let p(o) be the first derivative of -3*o**4/4 + 12*o**3 - 87*o**2/2 + 54*o - 852. Factor p(g).
-3*(g - 9)*(g - 2)*(g - 1)
Let s be 30/32 + -12 + 25 + -13. Let m(g) be the first derivative of 1/2*g**3 + 3 + s*g**4 + 0*g**2 + 1/8*g**6 + 0*g + 3/5*g**5. What is x in m(x) = 0?
-2, -1, 0
Suppose 4*h - 5*h = -3*k + 17, -5*h + 41 = 3*k. Determine z so that 9*z**4 + 11*z**2 + k*z + 12*z - 8*z**2 - 15*z**2 - 15*z**3 - 7*z = 0.
-1, 0, 2/3, 2
Let m(w) be the second derivative of -w**7/210 + 17*w**6/50 - 97*w**5/50 + 143*w**4/30 - 63*w**3/10 + 47*w**2/10 + 4178*w. Factor m(r).
-(r - 47)*(r - 1)**4/5
Let k(v) be the first derivative of 9*v**5/5 + 66*v**4 - 153*v**3 + 93*v**2 - 1980. Suppose k(f) = 0. Calculate f.
-31, 0, 2/3, 1
Suppose -2*b + 8 = x, 0 = -x + 3*b - 4 - 13. Let y(p) = -13*p**4 + 52*p**3 + 40*p**2 - 2. Let j(m) = m**4 + m**3 - 1. Let o(d) = x*j(d) + y(d). Solve o(z) = 0.
-2/3, 0, 4
Let z(l) be the first derivative of 2*l - 55 - 2/3*l**3 - 1/6*l**2 + 1/12*l**4. Factor z(v).
(v - 6)*(v - 1)*(v + 1)/3
Suppose -5*y = -5*j + 15, -5*j - 5*y + y + 15 = 0. Factor 2*i**4 + 3*i**4 + 115*i + 6*i**2 + 0*i**4 - 51*i**2 - 39*i**j + 24*i**3 - 60.
5*(i - 4)*(i - 1)**2*(i + 3)
Suppose 2775*m = 3244*m. Suppose m - a + 1/2*a**2 = 0. Calculate a.
0, 2
Suppose -55 + 67 = 6*v. Solve 1913 + 40*g - g**3 - 1913 + 39*g**v = 0.
-1, 0, 40
Let w(j) be the third derivative of -j**2 + 0*j**4 + 0*j**3 + 0*j - 1/8*j**6 + 6 + 8/75*j**7 + 7/60*j**8 + 3/100*j**5. What is b in w(b) = 0?
-1, 0, 3/14
Let y(l) = 9*l**2 + 8639*l - 2341397. Let u(o) = -o**2 - 1080*o + 292675. Let q(k) = 51*u(k) + 6*y(k). What is a in q(a) = 0?
541
Let c be 0/((51 - 27) + -34). Suppose 16/15*f + 2/15*f**2 + c = 0. What is f?
-8, 0
Factor -389/2 + 1/4*w**2 + 387/4*w.
(w - 2)*(w + 389)/4
Determine g, given that 144/7*g + 633/7*g**4 - 12/7*g**2 + 0 - 45/7*g**5 - 1116/7*g**3 = 0.
-1/3, 0, 2/5, 2, 12
Let d(a) be the first derivative of -2*a**5/25 + a**4 - 2*a**3/5 - 94*a**2/5 - 32*a + 789. Solve d(t) = 0 for t.
-2, -1, 5, 8
Let i(c) = -c**3 - 6*c**2 - 9*c - 18. Suppose -z = 2*z - 4*u + 15, -z + 2*u = 5. Let v be i(z). Factor 22/13*l**3 - 18/13*l**v + 0 - 4/13*l.
2*l*(l - 1)*(11*l + 2)/13
Let d(w) be the second derivative of -3*w**6/70 + 51*w**5/70 + 6*w**4/7 - 254*w. Find q such that d(q) = 0.
-2/3, 0, 12
Let x(h) = 2*h**2 - 7*h - 9. Let u(a) = 12*a**2 - 43*a - 55. Let c = 32 + -38. Let g(q) = c*u(q) + 34*x(q). Factor g(k).
-4*(k - 6)*(k + 1)
Let w = -18265 - -219181/12. Let n(x) be the second derivative of 0 + 1/10*x**2 + w*x**4 + 2/15*x**3 + 1/50*x**5 + 37*x. Let n(k) = 0. Calculate k.
-1, -1/2
Find b, given that -7050267/4 - 4599/2*b - 3/4*b**2 = 0.
-1533
Suppose 52*d - 303*d + 106*d = -435. What is r in 27/2*r**2 + 6 - 3/2*r**4 - 3/2*r**d - 33/2*r = 0?
-4, 1
Let u(n) be the second derivative of -1/6*n**6 + 5/2*n**5 + 0*n**2 + 5/12*n**4 + 47 - 25/3*n**3 - n. Let u(y) = 0. Calculate y.
-1, 0, 1, 10
Let a(v) be the first derivative of v**4/4 + 13*v**3 - 20*v**2 + 1242. Factor a(g).
g*(g - 1)*(g + 40)
Suppose 139*h = 148*h - 4491. Factor h - 24*p - 499 - 3*p**2.
-3*p*(p + 8)
Let b(o) be the first derivative of -o**7/105 - 11*o**6/120 - o**5/30 + 5*o**4/8 + 38*o**2 - 7. Let d(z) be the second derivative of b(z). Factor d(c).
-c*(c - 1)*(c + 5)*(2*c + 3)
Determine n so that -1/4*n**3 - 2*n + 84 - 15/4*n**2 = 0.
-12, -7, 4
Let y(k) = 11*k**2 - 2977*k - 2374684. Let w(a) = -26*a**2 + 5919*a + 4749369. Let z(g) = -3*w(g) - 7*y(g). Factor z(n).
(n + 1541)**2
Let 4/5*k**3 + 48/5*k**2 + 36*k + 40 = 0. Calculate k.
-5, -2
Let h(y) be the third derivative of -169*y**7/840 - 13*y**6/180 - y**5/120 + 9*y**3/2 + 84*y**2. Let j(t) be the first derivative of h(t). Factor j(s).
-s*(13*s + 1)**2
Let z(n) be the second derivative of -n**4/108 + 19*n**3/18 - 42*n**2 - 5761*n. Find f, given that z(f) = 0.
21, 36
Let p(v) be the first derivative of -v**7/14 + 3*v**6/10 - 9*v**5/20 + v**4/4 - 71*v - 23. Let f(b) be the first derivative of p(b). Solve f(a) = 0.
0, 1
Suppose 25 = 11*t - 61 + 31. Let y(u) be the third derivative of 0 + 0*u - 16*u**2 + 1/12*u**4 + 1/60*u**t + 1/6*u**3. Solve y(z) = 0 for z.
-1
Let v(o