) = -i**2 + 18*i - 11. Let h be s(8). What is p in 41 - 50*p + 6 + h + 5*p**2 + 9 = 0?
5
Let q(d) be the third derivative of d**8/48 - d**7/210 + d**6/120 - 7*d**5/60 + 31*d**2. Let y(a) = -8*a**5 + 8*a**2. Let f(t) = 6*q(t) + 5*y(t). Factor f(s).
2*s**2*(s - 1)**3
Suppose -2 + 6 = -k. Let q be k/(-6) + 30/9. Solve -6*u**2 + 9*u**2 - q + 1 = 0.
-1, 1
Let y(v) be the first derivative of 4 - 2/5*v**5 + 10*v**2 - 8*v**3 + 3*v**4 - 6*v. Find a such that y(a) = 0.
1, 3
Let r = 14 + 1. Factor 2*k + 4*k**3 - 5 - r*k**2 + 13*k + k**3.
5*(k - 1)**3
Let x be (-8)/(-1) + 720/(-135). Factor 0 - x*t + 4/3*t**2.
4*t*(t - 2)/3
Let h(r) be the first derivative of 12769*r**4/4 - 12317*r**3/3 - 224*r**2 - 4*r - 396. Let h(c) = 0. What is c?
-2/113, 1
Let m = -20 + 27. Let p be 1/m + (-621)/(-63). Factor 2*w**2 + p*w - w**2 + 6*w - 16 - 5*w**2.
-4*(w - 2)**2
Let f(c) be the first derivative of -2*c**7/35 + 2*c**6/15 - c**5/15 + 11*c**2 + 13. Let w(i) be the second derivative of f(i). Suppose w(q) = 0. What is q?
0, 1/3, 1
Let c(b) be the first derivative of 5*b - 2 - 4/9*b**3 - 1/6*b**4 + 4/3*b**2. Let v(n) be the first derivative of c(n). Suppose v(l) = 0. Calculate l.
-2, 2/3
Let d(q) be the second derivative of 27/2*q**2 - 9/4*q**3 + 23*q + 0 - 21/8*q**4 - 5/8*q**5 - 1/20*q**6. Let d(h) = 0. Calculate h.
-3, 2/3
Let -21*o**4 + 21*o**2 - 501*o**3 - o**5 - 496*o**3 - 54*o + 1054*o**3 - 5*o**5 + 3*o**5 = 0. What is o?
-9, -1, 0, 1, 2
Suppose 1204 - 2285 = -306*n + 1367. Factor -34/7*p - 2/7*p**5 - n*p**2 - 16/7*p**4 - 8/7 - 44/7*p**3.
-2*(p + 1)**4*(p + 4)/7
Suppose -6*w = -37*w + 62. Let z(p) be the third derivative of 1/160*p**6 + 3/32*p**4 + 0 - 9/8*p**3 + 11*p**w + 1/16*p**5 + 0*p. Factor z(o).
3*(o - 1)*(o + 3)**2/4
Determine x so that -116/19*x - 16/19*x**3 - 48/19 - 86/19*x**2 + 2/19*x**4 = 0.
-2, -1, 12
Let k(w) be the third derivative of -w**6/30 - 2*w**5/5 - 11*w**4/6 - 4*w**3 - 266*w**2. Find f, given that k(f) = 0.
-3, -2, -1
Let b(h) be the second derivative of -h**7/147 - h**6/35 - 3*h**5/70 - h**4/42 - 138*h. Find k, given that b(k) = 0.
-1, 0
Let k(s) = -15*s + 73. Let o be k(-27). Let r = -1418/3 + o. Factor 0 - 40*h**3 + 0*h - 250/3*h**5 - 100*h**4 - r*h**2.
-2*h**2*(5*h + 2)**3/3
Let p(w) be the first derivative of 35*w**4/4 - 85*w**3 - 105*w**2 + 80*w - 32. Factor p(t).
5*(t - 8)*(t + 1)*(7*t - 2)
Let c(u) = -11*u**3 - 5*u**2 - 7*u - 1. Let g(v) = 20*v**3 + 9*v**2 + 13*v + 2. Let j = -12 - -23. Let s(a) = j*c(a) + 6*g(a). Factor s(i).
-(i - 1)*(i + 1)**2
Let d = -1545 - -1548. Factor 14/5*b + 4/5 - 2*b**2 - 8/5*b**d.
-2*(b - 1)*(b + 2)*(4*b + 1)/5
Suppose -1092 = 12*c - 1116. Factor -8/3 - 10/3*h - 2/3*h**c.
-2*(h + 1)*(h + 4)/3
Let c be (12/(-14))/((-4320)/2240). Determine w, given that -4/9*w**2 - 2/9 + 2/3*w - 2/9*w**5 - c*w**3 + 2/3*w**4 = 0.
-1, 1
Suppose 32760*l**2 - 368680*l + 266470*l - 314*l**3 - 1157625 + l**4 - 1022340*l = 0. What is l?
-1, 105
Let r(m) be the second derivative of m**5/10 + 7*m**4/3 + 61*m. Suppose r(c) = 0. What is c?
-14, 0
Let x(b) = -26*b**2 - 48*b + 6. Let c(w) = 4*w**2 - 1. Let a(t) = 6*c(t) + x(t). Solve a(l) = 0.
-24, 0
Suppose 13/2*c**2 + 1/8*c**5 + 33/8*c + 1 + 19/4*c**3 + 3/2*c**4 = 0. What is c?
-8, -1
Determine u so that -21*u**2 + 60 - 38*u**4 - 75*u**3 - 30*u**3 - 2*u**4 + 20*u - 65*u**3 - 164*u**2 = 0.
-2, -3/4, 1/2
Let k = 18323/40 - 458. Let u(p) be the third derivative of k*p**5 + 0 - 5*p**2 - 1/240*p**6 + 0*p + 9/4*p**3 - 9/16*p**4. Factor u(i).
-(i - 3)**3/2
Let o(p) be the first derivative of 9 + 4*p - 4*p**2 + 4/3*p**3. Factor o(y).
4*(y - 1)**2
Let k(t) be the first derivative of t**5/10 + 3*t**4/4 - 25*t**3/6 + 9*t**2/2 + 500. Factor k(x).
x*(x - 2)*(x - 1)*(x + 9)/2
Let q(g) be the third derivative of -g**6/24 - g**5 + 65*g**4/24 - 108*g**2. Factor q(s).
-5*s*(s - 1)*(s + 13)
Suppose 0 = -2376*i + 2365*i + 22. Solve -9/7*c + 12/7 - 3/7*c**i = 0.
-4, 1
Let n(h) be the first derivative of 5/4*h**4 - 5*h**3 - 5/2*h**2 + 3*h**5 + 10 + 0*h. Factor n(r).
5*r*(r - 1)*(r + 1)*(3*r + 1)
Let k be ((-6)/12)/(3/(-84)). Suppose -9*n - 4 + k*n**2 - 44*n**2 - 13*n = 0. What is n?
-2/5, -1/3
Let a(l) be the third derivative of -l**8/420 + l**7/105 - l**6/90 + 3*l**3 + 31*l**2. Let c(f) be the first derivative of a(f). Factor c(m).
-4*m**2*(m - 1)**2
Factor 14/3*r + 1/3*r**3 - 8/3 - 7/3*r**2.
(r - 4)*(r - 2)*(r - 1)/3
Let m(y) be the third derivative of -y**6/960 + y**5/120 - y**4/64 - 38*y**2. Let m(h) = 0. What is h?
0, 1, 3
Let v = -4511/3 + 1505. Let 6*q**4 + v*q - 6*q**2 + 10/3*q**3 + 0 - 14/3*q**5 = 0. What is q?
-1, 0, 2/7, 1
Let j(i) be the second derivative of -3/20*i**5 - 26*i + 0*i**2 + 0*i**4 + 0 + 0*i**3. Determine a so that j(a) = 0.
0
Let z(y) be the second derivative of y**9/5040 - y**7/840 - 13*y**4/12 + y. Let l(q) be the third derivative of z(q). Find r such that l(r) = 0.
-1, 0, 1
Let n(f) be the second derivative of 0*f**2 + 10*f + 0*f**3 + 1/28*f**4 + 0. Factor n(d).
3*d**2/7
Let q be (-2)/((-5)/5) + (-2)/(-1). Suppose -5*x + 5 = -o - q*o, -4*o + x = -5. Factor 0*j + 0 + 3/2*j**o + 9/2*j**4 - 9/2*j**3 - 3/2*j**5.
-3*j**2*(j - 1)**3/2
Suppose 0 + 7 = -7*t. Let s(x) = x**4 - x**3 - 1. Let i(n) = -28*n**4 + 16*n**3 + 8*n + 28. Let l(p) = t*i(p) - 24*s(p). Determine o, given that l(o) = 0.
-1, 1
Factor -4*u**4 + 16*u**2 + 7831*u**5 - 24*u**3 - 7829*u**5 + 0*u**4 + 64*u.
2*u*(u - 4)*(u - 2)*(u + 2)**2
Let d(l) be the second derivative of -l**6/10 + 9*l**5/5 + 21*l**4/2 + 22*l**3 + 45*l**2/2 + 253*l. Factor d(t).
-3*(t - 15)*(t + 1)**3
Let j be 4/(-40)*-2 - (-2)/(-10). Suppose 5*t + j = -5*h + 15, 17 = 3*h - t. Suppose 0*k**2 + 0*k**4 + 0 + 0*k + 2/7*k**h - 2/7*k**3 = 0. What is k?
-1, 0, 1
Let m = -2189 + 2193. Let c(h) be the first derivative of 1/18*h**m + 7/9*h**2 - 10/27*h**3 - 2/3*h + 5. Factor c(s).
2*(s - 3)*(s - 1)**2/9
Let v(i) be the second derivative of 6*i**5 - 61*i**4/3 - 54*i**3 - 36*i**2 + 156*i + 2. Factor v(d).
4*(d - 3)*(3*d + 2)*(10*d + 3)
Suppose 4*m = -2*l - l - 4, 4*m - 4*l - 24 = 0. Let -4 - 308*f**m - f + 310*f**2 - f = 0. What is f?
-1, 2
Let r = -457/14 - -33. Let m = r - 1/42. Determine a so that 2/3 - 5/3*a**3 - 8/3*a**2 - m*a = 0.
-1, 2/5
Determine g, given that 10 - 31/2*g + 5/4*g**3 - 97/4*g**2 = 0.
-1, 2/5, 20
Let m be 6/(-33) + -606*(-2)/2310. Let t(l) be the first derivative of 2/21*l**6 - 1/7*l**4 + 0*l**2 - m*l**5 - 16/7*l - 11 + 4/3*l**3. What is k in t(k) = 0?
-1, 1, 2
Let c(q) = 16*q**3 + 32*q**2 - 8*q. Let i(w) = 48*w**3 + 95*w**2 - 24*w. Suppose -10*m + 7*m + 12 = 0. Let r(d) = m*i(d) - 11*c(d). Factor r(j).
4*j*(j + 2)*(4*j - 1)
Let s(g) be the first derivative of -2*g**3/3 + 22*g**2 - 42*g - 222. Determine q so that s(q) = 0.
1, 21
Find m such that 0 - 252/5*m**3 - 6/5*m**5 - 237/5*m**2 - 87/5*m**4 - 66/5*m = 0.
-11, -2, -1, -1/2, 0
Let p(v) be the first derivative of v**4/8 - v**3/3 - 5*v**2 - 12*v - 99. Factor p(o).
(o - 6)*(o + 2)**2/2
Suppose 2*a + 15 = 7*a - 3*h, -9 = -3*a + h. Let u be 5 - (4/2 - 0). Determine d so that -2 - 7*d**2 + 15*d**3 - 11*d**a + 8*d - u*d**2 = 0.
1/2, 1
Let v(n) = 3*n**2 - 1. Let u be v(-1). Let d be 7*1 - (2 + -2)/(-4). Solve 2*x - 2*x**4 - 5*x**2 + 0*x + d*x**u - 2*x**3 = 0.
-1, 0, 1
Suppose -9 = -5*g - 24. Let k be (6 - 2) + 11/g. Factor k*r**5 - r**4 + 0*r + 0 - 1/3*r**2 + r**3.
r**2*(r - 1)**3/3
What is z in 2275 - z**2 - 10*z - 2221 - 11*z - 2*z**2 = 0?
-9, 2
Let u = -16684 + 16686. Let 94/9*a**3 + 8/3*a**u - 56/3*a**4 + 0 - 392/9*a**5 - 8/9*a = 0. What is a?
-1/2, 0, 2/7
Let y be 2*3/(-18) - 3/((-45)/35). Factor 9/7*z**3 - 3*z**y + 54/7 - 45/7*z + 3/7*z**4.
3*(z - 2)*(z - 1)*(z + 3)**2/7
Let h(z) be the first derivative of 10 - 2/9*z**2 - 10/27*z**3 + 0*z - 2/45*z**5 - 2/9*z**4. Determine q, given that h(q) = 0.
-2, -1, 0
Let y be -3 + (-3)/6*6. Let a = y + 8. Factor -k - k**a - 2*k + 4*k**2 - 6.
3*(k - 2)*(k + 1)
Let k(c) be the second derivative of c**6/225 - 7*c**5/150 + 17*c**4/90 - 17*c**3/45 + 2*c**2/5 - 77*c. Suppose k(g) = 0. What is g?
1, 2, 3
Let p(k) be the third derivative of k**7/630 - k**6/135 + k**5/90 - k**3/3 - 3*k**2. Let o(r) be the first derivative of p(r). Solve o(a) = 0 for a.
0, 1
Let t(j) be the first derivative of -14 + 0*j + 16/3*j**3 + 6*j**4 + 16/5*j**5 + 2*j**2 + 2/3*j**6. Fin