 1)/5
Let x(f) = 29*f + 206. Let d be x(-7). Let z(r) be the second derivative of -r + 0 + 5/33*r**d + 2/11*r**2 + 1/110*r**5 + 2/33*r**4. Let z(h) = 0. Calculate h.
-2, -1
Factor 104 + 13*y**2 - 31*y**2 - y**4 - 8*y**3 - 77.
-(y - 1)*(y + 3)**3
Suppose -3*a - a = 4. Let n be a - (3 - (2 + 5)). Find l such that 5*l**n - 3*l - l**3 - 2 + 2*l**4 - l = 0.
-1, 1
Let h be (-2 - 4) + 60/6. Solve 2/7*n**3 + 6/7*n**h - 2/7*n + 0 - 6/7*n**2 = 0.
-1, -1/3, 0, 1
Let s(m) = -80*m**3 + 108*m**2 - 44*m + 4. Let k(x) = -80*x**3 + 110*x**2 - 43*x + 4. Let c(o) = -4*k(o) + 3*s(o). Determine b so that c(b) = 0.
1/5, 1/4, 1
Let s(a) be the second derivative of a**6/40 - a**5/20 - 59*a**4/48 + 5*a**3/6 + 537*a. Suppose s(l) = 0. Calculate l.
-4, 0, 1/3, 5
Let s(j) = 2*j**2 + 11*j - 15. Let g(i) = -6*i**2 - 32*i + 42. Let q(b) = 5*g(b) + 14*s(b). Factor q(t).
-2*t*(t + 3)
Let r = 1560 + -1016. Let p be 4/(-18) + r/1071. Find h, given that -4/7*h**2 + p*h**3 + 4/7 - 2/7*h = 0.
-1, 1, 2
Let m(b) = 1. Let q(z) be the first derivative of 5*z**4/4 - 25*z**3/3 + 10*z**2 + 10*z - 16. Let a(j) = -10*m(j) + q(j). Solve a(t) = 0.
0, 1, 4
Let z(g) = -15*g - 5. Let c be z(-1). Let h be 4 + ((-2)/(-6))/(c/(-30)). Factor 1/4*s**2 - 1/4*s + 1/4*s**h - 1/4.
(s - 1)*(s + 1)**2/4
Let i(m) be the third derivative of m**7/504 - m**6/48 - m**4/24 - 5*m**2. Let r(v) be the second derivative of i(v). Let r(u) = 0. What is u?
0, 3
Suppose -2*d = 5*n + 7 - 25, -5*d + 20 = 0. Suppose -2 - 4*a**4 + 5*a**5 + 38*a**3 - 18*a**4 - 2*a**n - 16*a**2 + 13*a - 14*a**2 = 0. What is a?
2/5, 1
Let a(f) be the third derivative of 0*f + 2/3*f**3 + 1/3*f**4 + 1/15*f**5 + 15*f**2 + 0. Determine u so that a(u) = 0.
-1
Determine x, given that 0*x + 0 + 0*x**2 - 4/5*x**3 + 1/5*x**4 = 0.
0, 4
Let y be 4/(-5)*(-2)/(-4)*-5. Let j(w) be the first derivative of 5/3*w**3 + 5*w**y + 13 + 5*w. Factor j(h).
5*(h + 1)**2
Determine r so that -28/19 + 10/19*r + 2/19*r**2 = 0.
-7, 2
Let b(i) be the first derivative of 7*i**5/5 - 23*i**4/4 + 2*i**3 + 14*i**2 - 8*i - 121. Factor b(y).
(y - 2)**2*(y + 1)*(7*y - 2)
Let j(h) = h**3 + 7*h**2 + h + 6. Let d be j(-6). Let t = d + -33. Determine m, given that 3*m**2 + 40*m + 3*m**t - 22*m - 18*m = 0.
-1, 0
Let x(b) be the first derivative of b**6/240 - b**5/40 - 3*b**4/16 + 2*b**3 + 6. Let i(d) be the third derivative of x(d). Factor i(s).
3*(s - 3)*(s + 1)/2
Let a(h) be the second derivative of -1/60*h**5 + 2*h + 1/24*h**4 + 1/2*h**2 - 1/120*h**6 + 1/6*h**3 + 0. Let x(o) be the first derivative of a(o). Factor x(q).
-(q - 1)*(q + 1)**2
Let d = -412 + 714. Suppose 308*v**3 - 15*v**4 + 2*v**2 - d*v**3 - 2*v**2 = 0. Calculate v.
0, 2/5
Solve 20*k**3 + 18*k**2 + 11*k**3 - k**3 - 18*k**4 - 134*k + 84 + 20*k**4 = 0.
-14, -3, 1
Let w = 6045 + -6045. Find f, given that -1 + w*f**2 + 3/2*f - 1/2*f**3 = 0.
-2, 1
Let i(k) be the third derivative of k**9/30240 - k**8/2240 + k**7/560 - 2*k**4/3 + 5*k**2. Let n(b) be the second derivative of i(b). Solve n(y) = 0.
0, 3
Let k = -9290 - -46454/5. Suppose -k - 6/5*r - 2/5*r**2 = 0. What is r?
-2, -1
Let c be ((-112)/48 - -2) + (-7)/(-3). What is l in 4/5*l - 8/5*l**4 - 8/5 + 16/5*l**c - 8/5*l**3 + 4/5*l**5 = 0?
-1, 1, 2
Let s(c) = 3*c**4 - 3*c**3 + 12*c**2 + 3*c - 15. Let o(b) = -2*b**4 + 2*b**3 - 6*b**2 - 2*b + 8. Let g(i) = -7*o(i) - 4*s(i). Factor g(t).
2*(t - 2)*(t - 1)*(t + 1)**2
Suppose -1080 = -3*g + 2*k, -5*g + 6*k + 1801 = 3*k. Let -g*u**5 - 2*u**4 + 360*u**5 - u**2 + 3*u**2 + 2*u**3 = 0. What is u?
-1, 0, 1
Let d = -17623 - -17635. Solve 3 - 3*a**4 + 3*a**3 + 21/2*a - 3/2*a**5 + d*a**2 = 0 for a.
-1, 2
Suppose 4*q + 3*r = -0*r + 22, -q + 12 = 4*r. Suppose -q*j + 0*j + 4 = 0. Factor -2 - j + 11 + 12*f + 4*f**2.
4*(f + 1)*(f + 2)
Let c(r) be the third derivative of -r**5/90 + 5*r**4/4 - 44*r**3/9 - 484*r**2. Factor c(k).
-2*(k - 44)*(k - 1)/3
Let j(o) be the first derivative of -o**4/8 + 5*o**3/6 - o**2 + 27. What is z in j(z) = 0?
0, 1, 4
Let b(z) be the third derivative of 0*z**3 + 0*z**5 + 0*z - 1/40*z**6 + 1/8*z**4 - 11*z**2 + 0. Let b(t) = 0. Calculate t.
-1, 0, 1
Factor -33*z - 54/5 - 9/5*z**2.
-3*(z + 18)*(3*z + 1)/5
Let o = -2/631 - -1328/20823. Let s(w) be the second derivative of o*w**3 + 0*w**2 + 0 - 1/66*w**4 + 5*w. Find x such that s(x) = 0.
0, 2
Let m(s) be the first derivative of -s**5/60 - s**4/4 + 7*s**3/6 + 3*s**2 + 14. Let z(h) be the second derivative of m(h). Factor z(x).
-(x - 1)*(x + 7)
Let n be -2*(133/70 - 2). Let b(o) be the first derivative of 0*o**2 + 4 + 1/5*o**4 - n*o**3 + 0*o - 1/25*o**5. Suppose b(s) = 0. What is s?
0, 1, 3
Let s(p) be the third derivative of -p**4/24 - 2*p**3 - 3*p**2. Let y be s(-12). Factor a**2 + y - a + 0*a + 0.
a*(a - 1)
Suppose o + 21 = 8*o. Let u(y) be the third derivative of 1/40*y**6 + 2*y**2 - 7/100*y**5 + 1/20*y**4 + 0*y**o + 0 + 0*y. Find r, given that u(r) = 0.
0, 2/5, 1
Suppose 0 + 22/9*h - 2/9*h**4 - 22/9*h**3 + 2/9*h**2 = 0. Calculate h.
-11, -1, 0, 1
Let d be (-7)/(-4)*13/(1274/14). Let k(m) be the second derivative of 1/6*m**3 + 1/24*m**4 + d*m**2 - 4*m + 0. Factor k(r).
(r + 1)**2/2
Solve 4649*g**2 + 14*g**3 - 2*g**4 + 32 - 13*g + 5*g - 4673*g**2 = 0.
-1, 2, 4
Suppose 0 + 2/7*w**2 - 24/7*w + 2/7*w**3 = 0. What is w?
-4, 0, 3
Let m be (6/(-54)*-75 - 6) + -2. Let d(r) be the third derivative of 0 + 1/4*r**5 + 11/24*r**4 - 5*r**2 + m*r**3 + 0*r. Determine o so that d(o) = 0.
-2/5, -1/3
Factor -231*m**2 + 123*m**2 - 26 + 145*m + 117*m**3 + 5*m**5 - 82*m**4 - 176*m**2 + 125*m**3.
(m - 13)*(m - 1)**3*(5*m - 2)
Factor 52 + 8*m**2 - 714*m + 972*m + 12.
2*(m + 32)*(4*m + 1)
Let t(b) be the first derivative of -4*b**2 - 24*b + 2/5*b**5 + 6*b**3 - 25 + 3*b**4. Solve t(y) = 0 for y.
-3, -2, 1
Let r(z) = 4*z - 6. Let w be r(2). Factor 12*u - 5 + 17 + 4*u + 4*u**w.
4*(u + 1)*(u + 3)
Let p(o) be the third derivative of o**5/270 + 11*o**4/36 + 62*o**3/27 + 28*o**2 + 6. What is b in p(b) = 0?
-31, -2
Suppose 0 = -147*n + 152*n. Let p(b) be the second derivative of -1/20*b**4 + 3/10*b**2 + 0 + n*b**3 - 3*b. Let p(w) = 0. Calculate w.
-1, 1
Let o(v) be the third derivative of -2*v**4 + v**2 - 1/20*v**5 + 0*v - 1 - 32*v**3. Solve o(p) = 0.
-8
Let f(u) = -u**2 + 35*u - 29. Let g be f(34). Let i(d) be the second derivative of -2/15*d**3 + 0*d**2 + 1/50*d**g + 1/30*d**4 + 7*d + 0. Solve i(z) = 0.
-2, 0, 1
Let d(o) be the third derivative of 3*o**8/112 + 3*o**7/35 - 7*o**6/30 - 2*o**5/3 + 4*o**4/3 + 28*o**2. Suppose d(p) = 0. What is p?
-2, 0, 2/3, 4/3
Let f be (-114)/80 - -2 - 15/40. Let j(g) be the first derivative of -13/8*g**2 + 7 + 1/2*g + 2*g**3 + f*g**5 - 17/16*g**4. Factor j(a).
(a - 2)*(a - 1)**2*(4*a - 1)/4
Factor 2/23*k**2 - 30/23*k - 108/23.
2*(k - 18)*(k + 3)/23
Factor -42*d**3 + 18*d**3 + 10*d**3 + 20*d**3 - 3*d**5 - 3*d**4.
-3*d**3*(d - 1)*(d + 2)
Suppose 3*c - 2*c - 1 = -2*h, 3*c = -h + 3. Suppose 10 = -5*y, -2*p + h*y - y + 4 = 0. Factor 6*w + 25*w**3 - 3*w - 28*w**p.
-3*w*(w - 1)*(w + 1)
Suppose 4 = 48*r + 44*r - 272. Let g = 1 + 1. Solve 0 + 2*c + 1/2*c**r - g*c**2 = 0 for c.
0, 2
Let w(k) be the third derivative of 121/6*k**3 + 0 + 0*k + 11/12*k**4 + 1/60*k**5 + 13*k**2. What is i in w(i) = 0?
-11
Suppose 38 = 6*k + 2. Let o be (3/k)/((-21)/24 + 1). Let 1088/5*c + 128/5 + 928*c**3 + 100*c**5 + 3392/5*c**2 + 520*c**o = 0. What is c?
-2, -2/5
Suppose 2*m - 1 - 9 = -2*o, 0 = -4*m - o + 5. Let h = 483 - 483. Suppose h*s + 0*s**3 + 2/5*s**2 + m - 2/5*s**4 = 0. What is s?
-1, 0, 1
Let s(h) = h**3 - 3*h**2 - 2*h - 2. Let m be s(4). Let q = -5 + m. Solve 11*v**2 - 17*v**2 + 3*v**4 - q + 4 = 0 for v.
-1, 1
Let p(c) be the second derivative of -3*c**5/20 - 3*c**4/2 + 15*c**3/2 - 12*c**2 + 209*c. Factor p(n).
-3*(n - 1)**2*(n + 8)
Let p be (-36)/((-6)/1) + -2. Let d(b) be the first derivative of 2*b**2 - 2/5*b**5 + 2*b - b**p + 0*b**3 - 1. Factor d(r).
-2*(r - 1)*(r + 1)**3
Let y be (-14)/(-2) + 0/(-4 + 16). Let n(o) be the second derivative of -y*o - 1/60*o**4 + 1/100*o**5 + 0*o**2 + 0 - 1/15*o**3. Let n(q) = 0. What is q?
-1, 0, 2
Suppose 2*x = l + 4, 4*x - 4*l - 6 = -2. Factor 2*o**2 - 97 + 93 + 2*o**2 + 4*o - 4*o**x.
-4*(o - 1)**2*(o + 1)
Let q(w) = w + w + w**3 + 1 - w + 0. Let a(f) = 6*f**3 - 10*f - 6. Let b(p) = a(p) - 2*q(p). Factor b(y).
4*(y - 2)*(y + 1)**2
Let d(h) = -2