 374. Solve g(r) = 0.
-3, 1/2, 1, 2
Let l be (4/8)/((-481)/78 + 7). Factor 1/5*b**2 + 2/5 + l*b.
(b + 1)*(b + 2)/5
Let t(a) = 5*a + 30. Let k be t(-6). Suppose -2*o**2 + k*o**2 - 98 - 2*o**2 - 98 - 56*o = 0. What is o?
-7
Let v(h) = h**3 - 11*h**2 - 8*h + 1. Let g be v(12). Let q = 247/5 - g. What is b in 0*b + 0 + q*b**2 + 2/5*b**4 - 4/5*b**3 = 0?
0, 1
Let w be (-4950)/(-1800)*(-6)/(-11). Solve -9/4*x**2 + 0 - w*x**3 - 1/4*x**4 - x = 0.
-4, -1, 0
Let o + 9*o - 63 - o + 5*o**2 + 3*o - 2*o**2 = 0. Calculate o.
-7, 3
Let x(d) be the third derivative of 1/1155*d**7 + 1/66*d**4 - 2/165*d**5 + 0 - 3*d**2 - 3*d - 1/330*d**6 + 1/11*d**3. Suppose x(q) = 0. Calculate q.
-1, 1, 3
Let v(j) = j**4 + j**2 + 1. Let k(u) = 7*u**2 + 7*u**3 - 6*u**3 + 9*u**4 + u**5 + 4*u**3 + 5. Let t(h) = k(h) - 5*v(h). Determine b so that t(b) = 0.
-2, -1, 0
Let d = -2600 - -2601. Let i(w) be the first derivative of -d + 20*w + 100*w**2 + 385/3*w**3 - 605/4*w**4. Suppose i(a) = 0. What is a?
-2/11, 1
Let i(m) be the second derivative of m**7/630 - m**5/45 + 3*m**2 + 2*m. Let v(x) be the first derivative of i(x). Factor v(q).
q**2*(q - 2)*(q + 2)/3
Suppose -3*d - 15 = -21. Suppose r = -d*i + 1, -5*r + 4*i + 20 = -i. Factor 1/4*f**2 + 0 - 1/4*f**4 + 0*f + 0*f**r.
-f**2*(f - 1)*(f + 1)/4
Factor 25*u**4 - 105*u**3 - 188/5*u + 102*u**2 + 24/5.
(u - 3)*(5*u - 2)**3/5
Let s be (-1)/4*((-108)/(-45))/(-3). Let w(k) be the first derivative of 0*k**2 - 1/2*k**4 + 0*k - 6 + s*k**5 + 1/3*k**3. Factor w(y).
y**2*(y - 1)**2
Let c(y) be the third derivative of y**6/660 - 8*y**5/55 + 31*y**4/44 - 46*y**3/33 + 314*y**2. Find b such that c(b) = 0.
1, 46
Let q(y) be the first derivative of 2*y**5/5 + y**4/2 - 4*y**3/3 + 73. Suppose q(h) = 0. What is h?
-2, 0, 1
Let g(l) be the third derivative of 0*l**3 + 1/490*l**7 + 14*l**2 + 1/168*l**4 + 1/120*l**6 + 0 + 0*l + 1/84*l**5. Find o such that g(o) = 0.
-1, -1/3, 0
Let y(a) be the first derivative of 0*a + 15 + a**2 - 3/2*a**4 + 4/3*a**3. Factor y(p).
-2*p*(p - 1)*(3*p + 1)
Let g = 35 + -31. Solve -6*p + g*p**2 + 4 - 4*p + 2*p = 0 for p.
1
Let u = 9/4 + 41/4. Solve -u*g**2 + 0 - 5/6*g**4 - 15/2*g**3 + 125/6*g = 0 for g.
-5, 0, 1
Let w(g) be the third derivative of g**5/20 - g**4/4 + 181*g**2. Determine o, given that w(o) = 0.
0, 2
Let j(s) be the first derivative of -2/45*s**6 + 8 + 0*s**3 + 0*s**4 - 1/45*s**5 + 0*s + 3*s**2. Let b(l) be the second derivative of j(l). Factor b(v).
-4*v**2*(4*v + 1)/3
Factor 0*s - 10/9*s**4 + 0 - 16/9*s**3 + 0*s**2.
-2*s**3*(5*s + 8)/9
Let x(a) be the first derivative of -a**5/60 + a**4/12 - a**3/6 + a**2/6 - 3*a - 12. Let q(l) be the first derivative of x(l). Factor q(f).
-(f - 1)**3/3
Let c(f) be the second derivative of 0 - 2/3*f**4 + 8*f + 0*f**2 + 1/6*f**3 + 27/40*f**6 + 9/16*f**5. Factor c(i).
i*(i + 1)*(9*i - 2)**2/4
Let t(m) be the third derivative of -7*m**7/30 - 7*m**6/40 + 61*m**5/30 - 5*m**4/2 + 4*m**3/3 + 176*m**2. Factor t(x).
-(x - 1)*(x + 2)*(7*x - 2)**2
Let y = -1/1960 + 7843/5880. Find g such that -4/3*g**4 + 8/3*g**3 + y + 0*g**2 - 8/3*g = 0.
-1, 1
Let v(d) be the first derivative of -d**6/4 - 4*d**5/5 - d**4/2 + 41. Factor v(s).
-s**3*(s + 2)*(3*s + 2)/2
Let w(d) = 9 + d**3 - 1328*d**2 + 1327*d**2 - 32*d + 3. Let s be w(6). Factor -2/15*o**2 + 0 + s*o + 2/15*o**3.
2*o**2*(o - 1)/15
Suppose -4*x + 40 = -5*s, -2*x = 3 + 7. Let y be 3*(-5)/s + -1 + 0. Factor -y*l**2 + 0*l + 1/4*l**3 + 0.
l**2*(l - 1)/4
Let n(a) be the first derivative of -a**6/3 - 2*a**5 - 4*a**4 - 8*a**3/3 - 90. Factor n(u).
-2*u**2*(u + 1)*(u + 2)**2
Suppose 0*m - c = -2*m, -5*m + 3*c = 0. Let b be (6/10)/(5/25). Solve -6*j**b + m*j + 13*j**5 - 10*j**5 + 3*j = 0 for j.
-1, 0, 1
Let a be (24/10)/(27/90). Let t(h) = h**3 - 8*h**2 - h + 10. Let r be t(a). Determine q, given that q - 7*q**r + 0*q - 3*q = 0.
-2/7, 0
Let c(g) = -g**2 + 9*g - 1. Let j be c(12). Let r = -145/4 - j. Factor r*d**4 + 1/4*d**5 + 1/4*d**2 + 0 + 0*d + 3/4*d**3.
d**2*(d + 1)**3/4
Suppose 3*k = -2*k + 10. Suppose 5*m = -5*r - 10, -2*r - k = -5*m - r. Factor -3 + x + 9*x**2 + 5*x + m*x.
3*(x + 1)*(3*x - 1)
Let j(m) be the second derivative of 3*m**5/20 - m**4/4 - 8*m. What is g in j(g) = 0?
0, 1
Suppose 165 - 13 = -4*v + c, 0 = 2*v + c + 70. Let r be (-48)/32 + v/(-22). Factor 2/11*n**3 + 6/11*n**2 + r + 6/11*n.
2*(n + 1)**3/11
Let m(w) = 2*w**2 + w - 1. Let k(y) = 2*y**3 + 68*y**2 + 6*y - 6. Let i(l) = -k(l) + 6*m(l). Factor i(t).
-2*t**2*(t + 28)
Let p(x) be the third derivative of x**11/110880 + x**10/50400 - x**9/10080 - x**5/30 - 13*x**2. Let n(m) be the third derivative of p(m). Factor n(l).
3*l**3*(l - 1)*(l + 2)
Find x such that 16 + 328*x**2 + 334*x**2 - 12*x - 660*x**2 = 0.
2, 4
Let m(n) = -n**2. Let c(j) = -5*j**2 + 26*j + 169. Suppose 0 = -q + 16 - 22. Let o(l) = q*m(l) + c(l). Solve o(x) = 0 for x.
-13
Factor -25/6*k**2 - 5 + 85/6*k.
-5*(k - 3)*(5*k - 2)/6
Let i(r) be the second derivative of -r**4/20 + 23*r**3/10 + 34*r + 1. Let i(n) = 0. Calculate n.
0, 23
Let z(t) be the second derivative of 4/3*t**2 + 1 - 2/9*t**4 + 2*t + 1/30*t**5 - 1/9*t**3. Factor z(g).
2*(g - 4)*(g - 1)*(g + 1)/3
Let r(d) = 44*d**2 + 540*d + 140. Let v(m) = -4*m**2 - 49*m - 13. Let a(k) = 6*r(k) + 68*v(k). Suppose a(j) = 0. Calculate j.
-11, -1/2
Let m(s) = s**2 - 21*s - 130. Let b be m(26). Determine w so that 1/2*w + b + 1/6*w**2 = 0.
-3, 0
Let v(t) = t**3 - 7*t**2 + 11*t - 3. Let l be v(5). Factor c**2 - 13 + l*c**2 + 10.
3*(c - 1)*(c + 1)
Let b = -60797/5 - -12160. Determine y so that -b*y**2 - 6/5*y + 0 = 0.
-2, 0
Suppose -2/3*j**2 + 4/3 - 2/3*j = 0. What is j?
-2, 1
Suppose -14 = -3*n + 22. Solve -29*z**2 - 3*z**3 + n - 26*z**2 - 48*z + 24 + 76*z**2 = 0 for z.
2, 3
Suppose a = 5*y + 1092 - 6358, 4*a - 2124 = -2*y. Let j be (-2)/15 + y/255. Factor -j*n**2 + n**4 + 4*n**5 + 0*n**3 - 13*n**4 + 12*n**3.
4*n**2*(n - 1)**3
Suppose -5/3*v + 0 + 1/3*v**2 = 0. What is v?
0, 5
Let f(p) be the second derivative of 2*p**6/15 + 3*p**5/5 + 809*p. Find a, given that f(a) = 0.
-3, 0
Let g(t) be the third derivative of t**7/840 + t**6/480 + 42*t**2. Factor g(z).
z**3*(z + 1)/4
Let 84*g**2 - 196/3*g + 0 - 20*g**3 + 4/3*g**4 = 0. Calculate g.
0, 1, 7
Determine j, given that 86 - 3*j**2 + 3*j**2 - 4*j**2 + 14 + 96*j = 0.
-1, 25
Let l be 9/(-18)*(-2)/8. Let s(j) be the first derivative of 1/4*j**3 - 3/4*j + l*j**2 - 1/16*j**4 + 3. Let s(y) = 0. What is y?
-1, 1, 3
Let g = 187 - 183. Suppose -3*o - 4*y + 25 = -12, 0 = -g*o + y + 62. Suppose -o*q**4 - 54*q**3 - 3/2*q**5 - 81*q**2 + 0 - 81/2*q = 0. Calculate q.
-3, -1, 0
Suppose -3*w = -5*p + 41, 33 = -4*p + 5*w + 71. Let n(i) be the first derivative of 0*i - 1/3*i**3 + p + i**2. Find m, given that n(m) = 0.
0, 2
Let s(m) be the third derivative of 5/8*m**4 + 0 - 11/70*m**7 - 1/40*m**6 + 0*m - m**3 - 1/28*m**8 + 13/20*m**5 + 10*m**2. Suppose s(y) = 0. Calculate y.
-2, -1, 1/4, 1
Let 10/7 + 12/7*m + 2/7*m**2 = 0. Calculate m.
-5, -1
Let x(l) = -9*l**2 + 11*l + 4. Let o(u) = -u**2 - u. Let r(d) = 3*o(d) - x(d). Let z(h) = 4*h**2 - 9*h - 3. Let y(g) = 5*r(g) - 8*z(g). What is b in y(b) = 0?
-1, 2
Let m(s) be the first derivative of s**6/30 + s**5/20 - s**4/6 - 32*s + 11. Let v(h) be the first derivative of m(h). Find b, given that v(b) = 0.
-2, 0, 1
Let z be (0 - (-6)/(-15)) + (-17)/(-5). Suppose -4*x + 9 = 6*d - z*d, -2*d + 6 = 4*x. Factor 0 + 0*h**2 - 2/11*h + 2/11*h**d.
2*h*(h - 1)*(h + 1)/11
Suppose 2*q - 5*d + 6 = 0, -d - 4 = q - 4*q. Let n(z) = z. Let x be n(1). What is f in -f + 5*f**q - 8*f**2 - x + 3 = 0?
-1, 2/3
Suppose d - 2 = s + 4, -d - s + 14 = 0. Suppose -2*p + 23 = 3*y, -2*p + d - 2 = 0. Factor 2*q**2 - 3*q**2 + 9*q**3 - y*q**2 + 9*q**2.
3*q**2*(3*q + 1)
Factor 18*x + 9*x**2 + 35*x**2 + 11 - 23 + 34*x - 20*x**3 + 0.
-4*(x - 3)*(x + 1)*(5*x - 1)
Let v(p) be the third derivative of 11*p**7/1785 + 5*p**6/102 + 79*p**5/510 + 13*p**4/51 + 4*p**3/17 + 35*p**2 + 4*p. Determine b so that v(b) = 0.
-2, -1, -6/11
Let f(x) be the third derivative of -x**7/42 + x**6/24 + 3*x**5/4 - 15*x**4/8 + 86*x**2. Determine t so that f(t) = 0.
-3, 0, 1, 3
Let z(i) be the first derivative of i**2 + 0*i + 0*i**4 - 1/120*i**5 + 0*i**3 - 2. Let h(c) be the second derivative of z(c). Factor h(n).
-n**2/2
Suppose 9 + 1 = 5*c. Suppose 0 = j - 2*j + c*j. So