e the second derivative of 0 + 25/12*u**2 - 4*u + 1/72*u**4 - 5/18*u**m. Suppose j(k) = 0. Calculate k.
5
Let j(d) be the second derivative of -d**7/8820 - d**6/120 - 31*d**4/6 + 49*d. Let q(g) be the third derivative of j(g). Factor q(f).
-2*f*(f + 21)/7
Let i = 46335/100139 - 9/7703. Suppose 8/13*w**2 + i + 2*w = 0. What is w?
-3, -1/4
Let d be (((-2)/(-21))/2)/(-19 + (-3268)/(-171)). Determine o, given that d*o + 3/7*o**2 + 1/7*o**3 + 1/7 = 0.
-1
Let s(y) = y**2 - 2331*y. Let k(j) = 9*j. Let b(w) = -3*k(w) + s(w). Factor b(d).
d*(d - 2358)
Suppose -5 = 7*l - 2*l. Let v(t) = t**2 - t + 1. Let j(f) = -5*f**4 + 40*f**3 - 58*f**2 - 37*f + 57. Let s(b) = l*j(b) - 3*v(b). Suppose s(r) = 0. Calculate r.
-1, 1, 2, 6
Let q(x) be the second derivative of x**6/180 + 3*x**5/2 + 5933*x. Factor q(u).
u**3*(u + 180)/6
Let k(n) be the third derivative of n**5/330 + 47*n**4/22 + 279*n**3/11 - 13065*n**2. Determine y, given that k(y) = 0.
-279, -3
Let a(n) be the second derivative of -n**4/48 + 115*n**3/6 - 13225*n**2/2 + 1862*n. Determine m, given that a(m) = 0.
230
Let n(u) be the second derivative of u**7/2520 + 17*u**6/240 - 13*u**5/30 + u**4/6 + 111*u**2/2 - 6*u. Let x(o) be the third derivative of n(o). Solve x(b) = 0.
-52, 1
Let r(n) = n**2 + 31*n + 198. Let q be r(-9). Find a such that -1/2*a**4 + q + 5/2*a**2 + 1/2*a**3 + 3/2*a = 0.
-1, 0, 3
Let b(a) = a**2 + 2*a - 7. Let s(o) = 8*o**2 - 140*o - 35. Let r(d) = 5*b(d) - s(d). Factor r(u).
-3*u*(u - 50)
Let d(n) = 7*n**3 + n**2 + 3*n - 1. Let l(h) = -27*h**3 - 298*h**2 - 13*h + 298. Let r(p) = -4*d(p) - l(p). What is y in r(y) = 0?
-1, 1, 294
Solve 8/3 - 11*n**2 - 7/3*n**3 - 6*n = 0.
-4, -1, 2/7
Let j(g) be the second derivative of -g**7/1470 - g**6/315 - 15*g**3/2 - 14*g - 1. Let d(s) be the second derivative of j(s). Factor d(p).
-4*p**2*(p + 2)/7
Let q(m) = 7 + 0*m + 10*m - 8*m - 3*m + 2*m**2 - 8. Suppose 1 - 6 = -5*a, 2*j = -3*a - 1. Let i(s) = s**2 - 1. Let r(t) = j*q(t) + 3*i(t). Factor r(h).
-(h - 1)**2
Let s be ((-4)/10)/((-6)/(-50)) - (-559 - -549). Factor 13*b + 2/3*b**2 - s.
(b + 20)*(2*b - 1)/3
Let a(j) be the third derivative of j**7/1470 + 319*j**6/840 + 821*j**5/14 - 1539*j**4/2 + 26244*j**3/7 - 3532*j**2. Factor a(q).
(q - 3)*(q - 2)*(q + 162)**2/7
Let g(t) be the first derivative of -5*t**4/4 - 175*t**3/3 - 85*t**2 - 697. Find n, given that g(n) = 0.
-34, -1, 0
Suppose -3*h = -f - 4*h + 1, -1 = -3*f - 5*h. Let -62*c**f - 10*c**5 - 5 + 46*c**4 + 4 - 12*c**3 + 20*c + 2*c**3 + 17 = 0. Calculate c.
-1, -2/5, 1, 4
Factor 0 + 3206/9*m**3 + 2/9*m**4 + 0*m + 356*m**2.
2*m**2*(m + 1)*(m + 1602)/9
Suppose 0 = -9*c + 54 + 27. Let a be (-13)/(-13) - c/((-3)/1). What is w in 3/2*w**a + 3*w - 3/2*w**2 - 3*w**3 + 0 = 0?
-1, 0, 1, 2
Let n be ((-54)/(-234) + (-63)/(-65))/(243/(-450)*-2). Find w, given that n*w**3 - 2/9*w**2 - 40/9*w + 8/9 = 0.
-2, 1/5, 2
Let k(q) be the second derivative of -15*q**7/14 - 16*q**6/5 - 3*q**5/5 + 15*q**4/2 + 19*q**3/2 + 3*q**2 - 1570*q. Let k(n) = 0. What is n?
-1, -2/15, 1
Suppose -7*j + 25 = -2*j + 2*v, 0 = 4*j + 3*v - 27. Let -4*z**j - 2*z + 70 + 6*z**2 - 71 + z**2 = 0. What is z?
-1/4, 1
Let q(c) be the first derivative of 0*c**2 + 1/2*c**4 + 35 + 18/55*c**5 + 4/33*c**3 + 0*c. Factor q(p).
2*p**2*(p + 1)*(9*p + 2)/11
Let v(w) be the third derivative of 0*w + 5/6*w**5 - 1/24*w**6 + 20*w**3 - 35/6*w**4 + 0 + 40*w**2. Find m, given that v(m) = 0.
2, 6
Let c(w) be the third derivative of -1/420*w**6 + 125*w**2 + 13/21*w**3 - 13/210*w**5 + 1/84*w**4 + 0 + 0*w. Factor c(g).
-2*(g - 1)*(g + 1)*(g + 13)/7
Let o(g) be the second derivative of -3*g + 25/14*g**3 - 16 + 0*g**2 + 15/28*g**4 + 1/70*g**6 - 27/140*g**5. Suppose o(c) = 0. What is c?
-1, 0, 5
Suppose -y - y - p + 5 = 0, -3*y - 3*p = 0. Let n be (-16)/(-10) - (y + (-27)/5). Find g such that -n + 0*g - 7*g + 5*g**3 - 4*g**3 + 2*g**2 + 6 = 0.
-4, 1
Let q = 56/33 + -157/99. Let r(i) be the third derivative of -14*i**2 + 0*i + 0 + q*i**4 - 1/3*i**3 - 1/90*i**5. What is g in r(g) = 0?
1, 3
Solve 0*v**3 + 3877 - 432*v + 0*v**3 - 2582 - 117*v**2 + 14257 - 3*v**3 = 0.
-24, 9
Let b(k) be the first derivative of -9/8*k**4 + 11/4*k**3 - 9/4*k**2 + 3/20*k**5 - 6 + 0*k. Suppose b(n) = 0. Calculate n.
0, 1, 2, 3
Suppose -496 + 496 = -j. Suppose -3*z - 16 = -2*l, -4*z + j = 2*l + 12. Factor 2/3 - 2/9*x**l - 4/9*x.
-2*(x - 1)*(x + 3)/9
Let o(k) be the first derivative of 0*k - 9*k**2 + 125 - 1/3*k**3. Factor o(t).
-t*(t + 18)
Suppose -5 = -25*n + 70. Suppose n*z - 2*v = -4, 6*z - 2*z - v = 3. Determine i so that -3/4*i**3 + 0 - 3/8*i**z + 0*i - 3/8*i**4 = 0.
-1, 0
Let n be (160/(-100)*((-13)/(-6) + -3))/(-58 + 60). Determine p, given that -22/3*p - 16 - n*p**2 = 0.
-8, -3
Let r(l) be the second derivative of l**7/7 - 34*l**6/45 - 2*l**5/5 + 25*l**4/3 - 173*l**3/9 + 20*l**2 + 3037*l. Find h, given that r(h) = 0.
-20/9, 1, 3
Let m(l) be the third derivative of 8*l**6/3 + 38*l**5/3 + 2365*l**4/96 + 605*l**3/24 + 2*l**2 + 903. Factor m(s).
5*(s + 1)*(16*s + 11)**2/4
Find u, given that -15/7*u**5 - 99/7*u**4 - 9/7*u**2 + 0 + 30/7*u - 123/7*u**3 = 0.
-5, -1, 0, 2/5
Suppose 7*l = 30 - 16. Let z = 1 - -3. Factor 5 + z*k**l + 73*k**2 - 40*k - 135*k**4 + 13*k**2.
-5*(k + 1)*(3*k - 1)**3
Let a be 156/(-37479)*(-1)/(-2). Let u = 3838/2883 - a. Factor u*w - 1/3*w**2 - 4/3.
-(w - 2)**2/3
Suppose 15*t**2 + 1444 - 40*t**2 - 1446*t + 27*t**2 = 0. What is t?
1, 722
Let l(c) = -233*c + 2563. Let y be l(11). Solve -26/5*f**2 + 0*f - 2/5*f**3 + y = 0 for f.
-13, 0
Let q(v) be the first derivative of 54/5*v**2 + 1/5*v**4 - 12/5*v**3 - 108/5*v - 177. Solve q(b) = 0.
3
Factor -2/7*w**2 - 60/7 + 62/7*w.
-2*(w - 30)*(w - 1)/7
Let o = -362503 + 2900039/8. Let -5/2 + 1/2*q - 1/8*q**4 + 1/4*q**3 + o*q**2 = 0. What is q?
-2, 1, 5
Let g(x) be the second derivative of x**7/70 + 9*x**6/5 + 21*x**5/2 + 26*x**4 + 69*x**3/2 + 129*x**2/5 - 46*x + 16. Factor g(d).
3*(d + 1)**4*(d + 86)/5
Factor 1378 + 1478 + 306*b - 876 + 148*b + 191*b - 5*b**2.
-5*(b - 132)*(b + 3)
Let h(p) be the second derivative of p**8/84 + 2*p**7/35 - 4*p**5/15 + 9*p**2 + 2*p + 67. Let k(m) be the first derivative of h(m). Factor k(v).
4*v**2*(v - 1)*(v + 2)**2
Factor -144839 - 5*h**2 + 186299*h - 101581 - 188519*h.
-5*(h + 222)**2
Let s = -9257/687 + 3162/229. Determine z, given that -7*z + 2*z**3 + z**4 - 10/3*z**2 - 3 - s*z**5 = 0.
-1, 3
Suppose 5956 + 1676 = 9*k. Let y = 848 - k. Determine w so that 10/13*w**5 + y*w - 10/13*w**3 + 0 - 4/13*w**2 + 4/13*w**4 = 0.
-1, -2/5, 0, 1
Let n(f) be the second derivative of 4*f**7/63 - 11*f**6/15 + 16*f**5/15 + 13*f**4/9 - 4*f**3 + 7*f**2/3 - 2498*f. Suppose n(i) = 0. What is i?
-1, 1/4, 1, 7
Let i be -1*3*25/75. Let c be (i + 1)*62/(-558). Suppose -12/7*v**3 + 0*v**2 + c*v + 0 - 3/7*v**4 = 0. Calculate v.
-4, 0
Let r(w) = 3*w**3 + 38*w**2 + 97*w - 103. Let a(g) = 2*g**3 + 36*g**2 + 94*g - 102. Let p(z) = 7*a(z) - 6*r(z). Factor p(o).
-4*(o - 8)*(o - 1)*(o + 3)
Factor -1/2*l**2 + 69*l - 137/2.
-(l - 137)*(l - 1)/2
Let -2/5*r**2 + 169/5*r - 1/5*r**5 - 84/5 - 168/5*r**3 + 86/5*r**4 = 0. Calculate r.
-1, 1, 84
Factor -16850/3*z**3 + 204120*z - 2/3*z**5 + 93420*z**2 + 320/3*z**4 + 104976.
-2*(z - 54)**3*(z + 1)**2/3
Factor 4/3*m**2 + 2/3*m**5 + 16/3 - 20/3*m**4 + 32/3*m**3 - 34/3*m.
2*(m - 8)*(m - 1)**3*(m + 1)/3
Let i be (0 - 0/(-6))*(-1 + 2). Let f be (i + 0)*(-1)/(-2). Factor 5*a**5 - 3 - 3*a**4 + 5*a - 2*a**4 - 10*a**3 + f*a**4 - 2 + 10*a**2.
5*(a - 1)**3*(a + 1)**2
Let l = -726 - -806. Let -44/3*g + l*g**2 + 2/3*g**4 + 44/3*g**3 - 242/3 = 0. Calculate g.
-11, -1, 1
Solve 0 - 32/7*b + 20/7*b**3 + 72/7*b**2 = 0 for b.
-4, 0, 2/5
Let m = 1426 + -2849/2. Factor -1/4*h**3 - m*h**2 + h + 2 + 1/4*h**4.
(h - 2)**2*(h + 1)*(h + 2)/4
Let y(l) be the first derivative of 3136/3*l + 56/3*l**2 + 216 + 1/9*l**3. Factor y(i).
(i + 56)**2/3
Let w(n) be the first derivative of 0*n - 8/3*n**3 - 4*n**2 - 1/3*n**5 - 4/3*n**4 - 1/30*n**6 - 3. Let j(r) be the second derivative of w(r). Factor j(g).
-4*(g + 1)*(g + 2)**2
Let n(j) = j**2 - 4*j + 5. Let a = 48 + -47. Let q be n(a). Solve -3*d + 148*d**3 + 4 - 142*d**3 + 20*d**q + 21*d = 0 for d.
-2, -1, -1/3
Let h(v) be the third derivative of -v**6/360 - 17*v**5/180 - 19*v**4/18 - 10*v**3/3 - 266*v**2. Solve h(r) = 0.
-10, -6