*2 + o + 1/9*r**3 + 2*r - 1/36*r**4. Find k such that a(k) = 0.
0, 2
Let g(u) be the second derivative of u**7/84 + u**6/15 - 11*u**5/40 - 13*u**4/12 + 7*u**3/3 + 10*u**2 + 64*u. Let g(z) = 0. Calculate z.
-5, -2, -1, 2
Let v(q) = 0*q - q**2 + 1 + 0*q - 2*q + q. Let t(k) be the second derivative of -241*k**4/12 - 29*k**3/2 - 9*k**2/2 + k. Let w(z) = t(z) + v(z). Solve w(a) = 0.
-2/11
Let g = 8 + -8. Suppose -5*u + 36 = 2*y, g*y - 45 = -5*u - 5*y. Solve -3/2*t**3 - 3 + u*t**4 - 18*t**2 + 33/2*t = 0.
-2, 1/4, 1
Let m(s) be the third derivative of -s**7/840 + s**6/48 - 3*s**5/20 + s**4/6 + 17*s**2. Let v(j) be the second derivative of m(j). Factor v(u).
-3*(u - 3)*(u - 2)
Suppose -3*i - j + 10 = 0, -j - 2 = 3*i - 3*j. Let q(b) be the first derivative of -b**3 + 3/4*b**4 + 1 + 0*b - 1/5*b**5 + 1/2*b**i. Factor q(w).
-w*(w - 1)**3
Let d(t) be the first derivative of t**6/9 - 46*t**5/15 + 139*t**4/6 + 30*t**3 - 648*t**2 - 1944*t - 46. Factor d(a).
2*(a - 9)**3*(a + 2)**2/3
Let v(k) be the first derivative of -3*k**6/4 + 69*k**5/5 - 99*k**4/2 + 75*k**3 - 219*k**2/4 + 18*k - 24. Find z, given that v(z) = 0.
1/3, 1, 12
Let g(d) = 38*d**3 + 24*d**2 - 38*d - 24. Let c(x) = -x**3 + x. Let k(j) = -c(j) + g(j). Determine p so that k(p) = 0.
-1, -8/13, 1
Let d be (20/(-15))/4 - 25/(-3). Find j, given that 2*j - 8*j**2 + d*j + 23*j**2 = 0.
-2/3, 0
Let f = -1 + 5. Let j(c) be the second derivative of -7/4*c**3 + 3/2*c**2 + 1/20*c**6 + 0 + f*c + 9/8*c**4 - 3/8*c**5. Determine k so that j(k) = 0.
1, 2
Let o(v) be the third derivative of v**6/420 - 3*v**5/70 + 150*v**2. Factor o(g).
2*g**2*(g - 9)/7
Let d be 85/(-30) + (1*-3)/3. Let s = d - -4. Let 1/6*j**2 + 0*j + 0*j**3 - s*j**4 + 0 = 0. What is j?
-1, 0, 1
Let r(i) = 5*i**3 - 17*i**2 - 33*i - 66. Let k(z) = z**3 - 7*z**2 - z + 2. Let s(y) = 3*k(y) - r(y). Solve s(x) = 0.
-3, 4
Let k(a) be the first derivative of 3*a**5/5 - 27*a**4/4 + 15*a**3 - 21*a**2/2 - 516. Factor k(w).
3*w*(w - 7)*(w - 1)**2
Let b(j) = -j**3 - 25*j**2 - 145*j - 7. Let f be b(-9). Let -40/3*m**f - 55/3*m + 35*m**3 - 10/3 = 0. Calculate m.
-1/3, -2/7, 1
Suppose 3*s = -2*l + 42, 0*s = 2*s + 2*l - 30. Suppose 9*d - s = -12. Solve 2/9*o + d + 2/9*o**2 = 0.
-1, 0
Let l(u) = 678*u**2 - 206*u + 16. Let y = 66 - 77. Let a(q) = -3391*q**2 + 1029*q - 80. Let f(h) = y*l(h) - 2*a(h). Factor f(w).
-4*(13*w - 2)**2
Let b(c) be the first derivative of 5*c**4/48 - 5*c**3/6 + 15*c**2/8 + 25*c + 42. Let i(x) be the first derivative of b(x). Let i(v) = 0. Calculate v.
1, 3
Suppose -1588*m = -1583*m - 15. Let 0 + 0*y - 1/2*y**2 + 3/4*y**m - 1/4*y**4 = 0. What is y?
0, 1, 2
Let k be (-2)/(-14) + 30/63*6. Factor -10/13*s + 2/13*s**k + 4/13 + 6/13*s**2 - 2/13*s**4.
-2*(s - 1)**3*(s + 2)/13
What is f in 1/2*f - 3/2*f**2 + 0 - 1/2*f**4 + 3/2*f**3 = 0?
0, 1
Factor -1/7*i**5 + 0 + 4/7*i**2 + 0*i**3 + 0*i - 3/7*i**4.
-i**2*(i - 1)*(i + 2)**2/7
Let i(y) be the second derivative of -y**7/5040 - y**6/480 + y**5/60 + 10*y**4/3 + 15*y. Let r(j) be the third derivative of i(j). Solve r(c) = 0 for c.
-4, 1
Let s(b) = -3*b**4 - 6*b**3 + 15*b**2 - 12. Let z(y) be the first derivative of y**4/4 + 4. Let m(k) = s(k) + 6*z(k). Solve m(g) = 0 for g.
-2, -1, 1, 2
Let l(s) = 3*s**3 - 4*s**3 + 41 - 36 - 6*s**2. Let r be l(-6). Suppose a**5 + a**5 + 15*a**4 - 3*a**r + 6*a**5 - 20*a**2 = 0. What is a?
-2, 0, 1
Let s be (18/12)/(2*(-2 + 8)). Let o(c) be the first derivative of 1 - 1/6*c**3 + 0*c - 1/2*c**2 + s*c**4. Factor o(r).
r*(r - 2)*(r + 1)/2
Let l(x) = 3*x - 24. Let z be l(9). Factor -300*o + 11 + 315*o**z + 51*o**2 - 51 + 90*o**2 - 611*o**2.
5*(o - 2)*(7*o + 2)*(9*o + 2)
Let z(v) be the third derivative of v**7/1575 + v**6/450 - v**5/150 + 27*v**2 - 2*v. Find h such that z(h) = 0.
-3, 0, 1
Let k(g) be the first derivative of -g**5/240 - g**4/48 - 6*g**2 - 1. Let h(j) be the second derivative of k(j). Factor h(r).
-r*(r + 2)/4
Let d(c) be the first derivative of -c**4/6 - 2*c**3/3 + 3*c**2 + 47*c + 27. Let v(k) be the first derivative of d(k). Let v(r) = 0. What is r?
-3, 1
Suppose 1/2*g**2 + 19/2*g**3 + 9*g**4 + 0 + 0*g = 0. What is g?
-1, -1/18, 0
Let i(x) be the first derivative of x**5/30 - 11*x**4/24 + 4*x**3/3 + 3*x**2 + 164. Factor i(g).
g*(g - 6)**2*(g + 1)/6
Let h(i) be the second derivative of i**5/100 - 3*i**4/10 + 11*i**3/10 - 8*i**2/5 + 205*i. Determine u so that h(u) = 0.
1, 16
Suppose -16*y + 55 = 55. Let b(z) be the third derivative of 0 + 1/6*z**4 + y*z**3 + 1/15*z**5 + 0*z - 9*z**2. Factor b(q).
4*q*(q + 1)
Let h be (-27)/6 + (-8137)/(-1738). Suppose -2/11 - 2/11*j + h*j**3 + 2/11*j**2 = 0. What is j?
-1, 1
Let m(w) be the first derivative of -5*w**9/3024 - w**8/168 + 2*w**3 + 13. Let o(i) be the third derivative of m(i). Factor o(d).
-5*d**4*(d + 2)
Let c(p) be the second derivative of p**7/840 - p**6/240 + 29*p**4/12 + 11*p. Let n(o) be the third derivative of c(o). Find j such that n(j) = 0.
0, 1
Suppose -n - 2*n = 2*n. Factor -22*k**2 - 8*k + 10*k**2 + 2*k**3 + n*k**3 - 6*k**3.
-4*k*(k + 1)*(k + 2)
Let j = 162 + -124. Let -17*d - 2*d**2 + 5*d + 22 - j = 0. What is d?
-4, -2
Let z be ((-3)/(-45))/(-20 + 7210/360). Suppose 4/5*y**2 - 16/5 + z*y = 0. Calculate y.
-4, 1
Let f(d) be the first derivative of d**3/3 - 3*d**2 + 8*d - 19. Factor f(r).
(r - 4)*(r - 2)
Let d = -5 + 8. Let t be ((-16)/12)/((-1)/d). Factor -3*z - 5*z**2 - t*z**2 + 6*z**2.
-3*z*(z + 1)
Let z(r) be the first derivative of 3/14*r**2 + 2/7*r**3 + 24 + 0*r + 3/28*r**4. What is u in z(u) = 0?
-1, 0
Factor -518*q**4 + 2*q**5 - 6*q**3 + 510*q**4 + 0 + 0 - 28*q**2 - 32*q**3.
2*q**2*(q - 7)*(q + 1)*(q + 2)
Let f(d) = -116*d - 2666. Let x be f(-23). Determine i, given that 4/9*i**3 - 32/9 + 16/3*i - 8/3*i**x = 0.
2
Let q(j) be the third derivative of -j**2 + 3 + 0*j**3 - 1/15*j**5 - 1/6*j**4 + 0*j. Factor q(t).
-4*t*(t + 1)
Suppose 0 = 5*q - 26 + 11. Let 306*h**5 - 75*h**q - 8*h + 28*h - 281*h**5 + 10*h**4 + 20*h**2 = 0. Calculate h.
-2, -2/5, 0, 1
Let f be (-6)/(-7)*(-5 + -2). Let p be ((-4)/(-12))/((-2)/f). Factor 5 - 6 + p + b**2.
b**2
Let 0*j**4 + 1632 - 836 + 3*j**4 - 441*j**2 - 946 - 141*j**3 - 447*j = 0. What is j?
-1, 50
Solve 4/7*x**5 + 5/7*x**4 - 1/7*x - 5/7*x**2 - 3/7*x**3 + 0 = 0.
-1, -1/4, 0, 1
Find m, given that 4071*m + 1029*m + 2437*m**4 + 2601 - 100*m**3 + 2398*m**2 - 2436*m**4 = 0.
-1, 51
Let u(h) be the first derivative of h**6/720 + h**5/120 + h**4/48 - 2*h**3 + 1. Let x(p) be the third derivative of u(p). What is r in x(r) = 0?
-1
Factor -55*l**3 + 50*l**4 - 27*l + 95*l**2 - 26*l - 45*l**4 + 8*l.
5*l*(l - 9)*(l - 1)**2
Let y(u) be the third derivative of 8*u**7/105 + 3*u**6/10 + 2*u**5/5 + u**4/6 + 7*u**2 - 4. Solve y(d) = 0 for d.
-1, -1/4, 0
Suppose 5*a + 5 = -5*t, a - 2*t - 10 + 8 = 0. Let m(u) be the second derivative of 1/30*u**4 + 7*u - 2/5*u**2 - 1/15*u**3 + a. Factor m(k).
2*(k - 2)*(k + 1)/5
Let l(j) = -j**2 + 8*j + 5. Let h be l(8). Solve -31*x**h + 18*x**4 + 14*x**5 + 16*x**3 + 19*x**5 = 0 for x.
-8, -1, 0
Let g(w) be the first derivative of 0*w**2 + 3/4*w**4 - 29 + 0*w**3 + 0*w + 2/5*w**5 - 1/6*w**6. Solve g(l) = 0.
-1, 0, 3
Determine y so that 64/7 + 480/7*y + 772/7*y**2 - 480/7*y**3 + 64/7*y**4 = 0.
-1/4, 4
Let m(i) be the third derivative of 0*i**3 - 1/28*i**8 + 16/105*i**7 + 0 - 7/30*i**6 - 34*i**2 + 0*i + 2/15*i**5 + 0*i**4. Factor m(x).
-4*x**2*(x - 1)**2*(3*x - 2)
Let c = 1260 + -1256. Let f(n) be the third derivative of 0*n - 1/6*n**3 - 5/96*n**c - 1/240*n**5 - 6*n**2 + 0. Find j, given that f(j) = 0.
-4, -1
Determine q so that -24/17 - 14/17*q - 2/17*q**2 = 0.
-4, -3
Let v(y) be the third derivative of y**8/420 - 2*y**7/105 + y**6/18 - y**5/15 + y**3 + 7*y**2. Let w(h) be the first derivative of v(h). Factor w(k).
4*k*(k - 2)*(k - 1)**2
Factor 24 + 20 + 15 - 10800*w**2 + 360*w - 62.
-3*(60*w - 1)**2
Let b(v) be the first derivative of -8*v**4/9 + 16*v**3/9 - v**2 + 2*v/9 - 66. Factor b(c).
-2*(c - 1)*(4*c - 1)**2/9
Let j = 2338 + -16364/7. Factor -j*m**2 + 0 - 2/7*m**3 + 0*m.
-2*m**2*(m + 1)/7
Let q = 559 + -557. Let c(o) be the third derivative of 0*o + 0 + 0*o**4 - 1/270*o**5 + 6*o**q + 0*o**3 - 1/180*o**6. Suppose c(g) = 0. Calculate g.
-1/3, 0
Factor 54*k - 14*k**2 + 191*k**2 + 84*k**2 + 21*k**4 + 88*k**3 - 12*k**2 + 128*k**3.
3*k*(k + 1)*(k + 9)*(