(f) be the second derivative of 1/10*f**6 + 45/4*f**4 + 0 + 43/2*f**3 + 51/20*f**5 + 21*f**2 - 253*f. Determine g, given that j(g) = 0.
-14, -1
Let z = -503402/385 - -71946/55. Factor 124/7*g**2 + 132/7 + 260/7*g - z*g**3.
-4*(g - 33)*(g + 1)**2/7
Let v(q) be the second derivative of q**7/189 + q**6/15 + 17*q**5/90 - 25*q**4/54 - 14*q**3/9 + 40*q**2/9 - 2114*q. Suppose v(s) = 0. Calculate s.
-5, -4, -2, 1
Suppose 6728 + 40*m**4 - 3152*m - 10768*m + 23*m**5 - 2278*m**3 + 86*m**4 - 25*m**5 + 9346*m**2 = 0. Calculate m.
1, 2, 29
Let a = 67 - 67. Let r be (a - -1)/((-2)/(-4)). What is d in 3*d**4 + 87*d**3 - 67*d**3 + r*d**4 = 0?
-4, 0
Let q = -4929 + 4932. Let l(d) be the first derivative of -5/3*d**3 - 15/2*d**2 + q + 20*d. Factor l(j).
-5*(j - 1)*(j + 4)
Factor 783*o + 14*o**2 - 2970*o - 2289*o - 369 - 1035 + 124.
2*(o - 320)*(7*o + 2)
Factor 0*r**2 - 12*r**3 - 3*r + 5*r - 111*r**2 + 67*r**3.
r*(r - 2)*(55*r - 1)
Let g be (84/20)/((-3786)/(-3155)). Determine w so that -3 - g*w - 1/2*w**2 = 0.
-6, -1
Let h(t) be the first derivative of 125/24*t**4 + 6*t**3 + 1/72*t**6 + 8 + 0*t + 0*t**2 + 5/12*t**5. Let k(s) be the third derivative of h(s). Factor k(p).
5*(p + 5)**2
Let g(p) be the first derivative of -5/4*p**3 - 7/2*p + 22 - 57/16*p**2 - 1/32*p**4. Solve g(d) = 0.
-28, -1
What is r in -5/4*r**5 + 145/2*r**2 - 5/2*r**4 + 0 - 140*r + 285/4*r**3 = 0?
-8, -2, 0, 1, 7
Suppose 2*w = -3*w + 2*d - 1056, -856 = 4*w + 4*d. Let o = w - -849/4. What is z in -1/4*z**4 + 1/2*z**2 - 1/4 + 1/4*z - 1/2*z**3 + o*z**5 = 0?
-1, 1
Suppose -41 = 4*g - f - 35, g = f - 12. Suppose -5/7*b - 6/7 - 1/7*b**g = 0. Calculate b.
-3, -2
Let v = 19 + -3. Let z(u) = 2*u - 27. Let k be z(v). Solve -16 + 8 + k*g**2 + 8 + 15*g = 0 for g.
-3, 0
Let o be (-3 - -6)*(3 + (-21)/9). Let m = 23234/105 - 1548/7. Factor 0 - 2/3*a + m*a**o.
2*a*(a - 5)/15
Factor -1/7*f**2 - 96 - 172/7*f.
-(f + 4)*(f + 168)/7
Let z(r) = -5*r - 78. Let n be z(-16). Factor a**3 - 2*a**2 - 2*a**n + 4 + 5*a + 10 - 16.
(a - 2)*(a - 1)**2
Let a(s) be the first derivative of 2*s**5/15 - 151*s**4/6 + 3850*s**3/3 - 1875*s**2 + 429. Let a(j) = 0. What is j?
0, 1, 75
Determine f so that -29*f**2 - 55*f**2 - 12*f**3 + 17 - 44 - 53*f + 9 - 22*f = 0.
-6, -1/2
Let j(h) be the second derivative of -h**6/60 - 3*h**5/5 - 35*h**4/6 + 8*h**3 + 144*h**2 + 70*h + 7. Solve j(l) = 0.
-12, -2, 2
Let x(d) = d**3 - 28*d**2 + 62*d + 818. Let h be x(24). Find g, given that -5/2*g**4 + 10*g + 0*g**h - 15/2*g**3 + 0 = 0.
-2, 0, 1
Let a(k) = -2*k - 59. Let c be a(-31). Determine h, given that 10 - 52 - 2*h**c - 35*h**2 + 12 - 62*h + h**2 = 0.
-15, -1
Let g(t) = -7 + t**2 + 33 - 13 - 12 - 2*t. Let z(j) = -35*j**2 + 760*j - 24530. Let u(n) = 30*g(n) + z(n). Factor u(c).
-5*(c - 70)**2
Let j(a) be the third derivative of -a**5/20 - 233*a**4/24 - 77*a**3/3 - 70*a**2 + 11. Find t, given that j(t) = 0.
-77, -2/3
Let i(b) be the first derivative of b**6/2 - 108*b**5/5 + 180*b**4 - 448*b**3 - 362. Find w, given that i(w) = 0.
0, 4, 28
Let d be (-1)/6 + 98/(-60) + 2. Let h = -372 - -1863/5. Factor -1/5*g + 2/5 + d*g**3 - h*g**2 + 1/5*g**4.
(g - 1)**2*(g + 1)*(g + 2)/5
Let y(b) be the first derivative of 3 + 1/4*b**4 - 8*b**3 - 512*b + 96*b**2. Solve y(k) = 0.
8
Let i(h) be the first derivative of 968/5*h + 2/15*h**3 - 64 + 44/5*h**2. Determine d, given that i(d) = 0.
-22
Find r, given that 1216/3*r + 4172/3*r**4 + 8848/3*r**2 + 5752*r**3 + 0 + 98/3*r**5 = 0.
-38, -4, -2/7, 0
Solve -2/3*k**4 + 2260/3*k + 656/3*k**2 + 44/3*k**3 + 550 = 0.
-5, -1, 33
Let q = 6492969/5 - 1298583. Let 18/5*s + q - 2/5*s**3 - 6/5*s**2 = 0. Calculate s.
-3, 3
Let b = 21719 + -130309/6. Factor 4/3 + b*h + 1/12*h**2.
(h + 2)*(h + 8)/12
Let t(a) = -a**2 - 34*a - 118. Let k be (-91)/26*(-240)/(-28). Let s be t(k). Factor 4/5*o**3 - 6/5*o**s + 8/5 + 2/5*o**4 - 8/5*o.
2*(o - 1)**2*(o + 2)**2/5
Let v(n) be the second derivative of n**5/20 + 35*n**4/12 + 287*n**3/6 + 253*n**2/2 + 2514*n. Determine g, given that v(g) = 0.
-23, -11, -1
Let v(w) = 7*w**2 + 31*w - 14. Let k(n) = 16*n**2 + 67*n - 29. Let j(h) = 4*k(h) - 9*v(h). Factor j(x).
(x - 10)*(x - 1)
Let a(b) be the first derivative of -b**6/10 + 171*b**5/25 + 177*b**4/10 - 1597. Solve a(j) = 0.
-2, 0, 59
Let k be (-3724 - -3744) + (-2 - (19 - 1)). Factor -b**3 + 1/2*b**5 + 1/2*b**4 + 0*b + k*b**2 + 0.
b**3*(b - 1)*(b + 2)/2
Suppose -274*z + 272*z + 4*c = -58, 4*z + 27 = -3*c. Let -4*v**2 + 4/3*v**z + 8/3*v + 0 = 0. What is v?
0, 1, 2
Let i be (1732 - 1737)*3/(-25). Factor -21/5*a - i*a**2 - 6.
-3*(a + 2)*(a + 5)/5
Let d be (15/(-20))/((-39)/(-48) + -1). Suppose -n + 5*n = 5*o + 37, -2*n - d*o - 14 = 0. Factor 0 + 3*z**2 - 1/2*z**n + 0*z.
-z**2*(z - 6)/2
Let z be (-68)/51 + (-1)/(-3). Let c be (10 - 15)/(z/2*1). Suppose c + 5*g + 8*g**4 + g**3 - 11*g**3 - 20*g**2 + 3*g**4 + 5*g**5 - g**4 = 0. What is g?
-2, -1, 1
Let s(m) be the third derivative of -m**4/24 + 2*m**3/3 + m**2 + m. Let a be s(4). Find g, given that -1/3*g + a + 1/6*g**2 = 0.
0, 2
Let s(f) = 62*f - 34. Let z be s(-12). Let j = z + 780. Suppose 0 - 3*q - 21/2*q**j = 0. Calculate q.
-2/7, 0
Let d(i) = -1. Let y(q) be the third derivative of q**5/12 + 5*q**4/4 - 41*q**3/6 - 64*q**2. Let a(h) = -6*d(h) + y(h). Solve a(k) = 0 for k.
-7, 1
Let w(j) = 784*j - 6272. Let u be w(8). Factor 121/3*l**5 + u + 37/3*l**3 + 4/3*l - 12*l**2 + 66*l**4.
l*(l + 1)**2*(11*l - 2)**2/3
Let x(r) be the second derivative of -r**5/360 + r**4/48 - r**3/18 - 8*r**2 - 44*r + 2. Let p(a) be the first derivative of x(a). What is d in p(d) = 0?
1, 2
Let s(n) be the first derivative of n**4/16 + 85*n**3/3 - n**2/8 - 85*n - 1948. Factor s(u).
(u - 1)*(u + 1)*(u + 340)/4
Let d be 31 + (-1414)/28 + 33. Factor 2*o**2 + d*o - 7/2.
(o + 7)*(4*o - 1)/2
Let b be 260520/(-117) + 4/6. Let h be 0 - 8 - b/265. Factor 0*w + 16/5*w**3 + h*w**5 - 8/5*w**2 - 2*w**4 + 0.
2*w**2*(w - 2)**2*(w - 1)/5
Let o(b) be the second derivative of 1/42*b**3 + 6/7*b**2 - 47*b + 0 - 1/84*b**4. Let o(u) = 0. What is u?
-3, 4
Suppose -64/7*m**2 + 957/7*m + 2178/7 + 1/7*m**3 = 0. What is m?
-2, 33
Let i(s) be the second derivative of 3/40*s**5 + 9/8*s**2 - 1/120*s**6 - 1/4*s**3 + 3*s - 50 - 1/6*s**4. Solve i(c) = 0 for c.
-1, 1, 3
Let t be 6*(4/8 - 3). Let c be (-3)/(-45)*51 + (-9)/t. Solve 4*f**2 + 6*f**3 + f**3 - 4*f - 3*f**3 + f**c - 5*f**4 = 0 for f.
-1, 0, 1
Let c(j) = 1440632*j**2 - 17704*j + 102. Let i(a) = 480210*a**2 - 5900*a + 33. Let m(o) = -5*c(o) + 16*i(o). Find v such that m(v) = 0.
3/490
Solve 1/5*q**3 - 201/5*q - 153/5 - 47/5*q**2 = 0.
-3, -1, 51
Let y(s) = -s - 8. Let o be y(-11). What is q in 74*q**3 - 69*q**3 - 59*q**3 - 72*q**2 - 26*q + 27*q**4 - o = 0?
-1/3, 3
Let v(c) be the first derivative of -4*c**5/5 + 44*c**3 - 56*c**2 - 240*c - 5866. Find u, given that v(u) = 0.
-6, -1, 2, 5
Let l be (-1)/((7 + (-286)/39)/((-5)/(-3))). Solve -164/3*y**2 + 2/3*y**l + 10/3*y + 50 + 14/3*y**4 - 4*y**3 = 0.
-5, -1, 1, 3
Let z(y) = 4*y**2 - 8*y - 6. Let r(a) = -779*a**2 + 3 + 2*a - 1 + 387*a**2 - a + 393*a**2. Let c(l) = -3*r(l) + z(l). Determine m, given that c(m) = 0.
-1, 12
Suppose -179985*o + 179926*o = 0. Factor 2/3*g**2 + 0*g - 7/3*g**3 - 3*g**4 + o.
-g**2*(g + 1)*(9*g - 2)/3
Suppose 17*y = -13578 + 37769. Let d = 1426 - y. Factor -3*q**d + 3/2*q**2 + 0*q + 3/2*q**4 + 0.
3*q**2*(q - 1)**2/2
Factor 1/3*y**3 + 2079*y + 160/3*y**2 - 4374.
(y - 2)*(y + 81)**2/3
Let x = -1767 + 1680. Let w be ((-2)/4)/(x/58). Determine v so that 0*v - w + 1/3*v**2 = 0.
-1, 1
Let u(g) be the first derivative of 480*g**3 + 13 - 32*g**4 + 29*g**2 + 267*g**2 - 14*g**5 + 307*g**4 - 11*g**5 + 80*g. Determine p so that u(p) = 0.
-2/5, 10
Let k(t) be the second derivative of -t**4/54 + 34*t**3/27 + 37*t**2/3 + 6*t - 101. Factor k(a).
-2*(a - 37)*(a + 3)/9
Let y = 525 + -526. Let f be (0*(3 - (-3 + 5)))/y. Let 2/5*h**5 - 2/5*h**4 + 0*h**2 + f*h - 4/5*h**3 + 0 = 0. What is h?
-1, 0, 2
Let j(g) = -g**2 + 37*g + 3. Let d(w) = 42*w**2 + 71*w - 7*w**2 - 18*w**2 + 7 - 9*w**2 - 10*w**2. Let s(q) = -3*d(q) + 7*j(q). Find x, given that s(x) = 0.
0, 46
Let d(g) = -59*g + 25 + 83 + 55 + 19. Let k be d(3). Let -77/4*h**4 - 8*h + 73/4*h**2 - 17/4*h**3 + 49/4*h**k + 1 = 0. What is h?
-1, 2/7, 1
Suppose -2*b + 4*b = 8, -5*a = 2*b - 78. Suppose 4*i - 22 = -5*q