/16*l**5 + 0 + l**2 - 5/24*l**4 + 1/6*l**3 - 16*l + 1/60*l**6. Determine a, given that o(a) = 0.
-2, -1, 1, 2
Let g(y) be the second derivative of -4/3*y**3 - 3*y + 0 - y**4 + 1/5*y**5 + 0*y**2 + 2/5*y**6 + 2/21*y**7. Factor g(i).
4*i*(i - 1)*(i + 1)**2*(i + 2)
Find k such that 9/7 - 1/7*k**2 + 0*k = 0.
-3, 3
Let h(i) = -692*i**5 - 2156*i**4 + 2178*i**3 - 650*i**2 + 64*i + 18. Let k(s) = -s**5 - s**3 + s**2 + 3. Let m(u) = h(u) - 6*k(u). Factor m(v).
-2*v*(v + 4)*(7*v - 2)**3
Let x be 112/(-12)*(-54)/189. Solve 8/3*y**2 - 2/3*y**3 + 0 - x*y = 0.
0, 2
Let n(d) = -d**3 + 7*d**2 - 5*d - 3. Let v be n(6). Suppose -60 = -9*g - 24. Let -v*u**3 - 15*u**5 + 7*u**4 + u**5 + 3*u**g + 7*u**3 = 0. Calculate u.
-2/7, 0, 1
Let b(l) be the second derivative of l**6/6 + 3*l**5/2 - 5*l**4/12 - 5*l**3 + 579*l. Let b(z) = 0. What is z?
-6, -1, 0, 1
Let y(u) be the second derivative of -u**6/18 - 2*u**5/3 - 35*u**4/12 - 55*u**3/9 - 20*u**2/3 + 62*u. What is r in y(r) = 0?
-4, -2, -1
Let u(x) = x**2 - 1. Let c(q) = -7*q**2 - 4*q + 11. Let m be (-2 - 2)*(-1)/4. Let i(f) = m*c(f) + 5*u(f). Suppose i(g) = 0. Calculate g.
-3, 1
Factor 1 - 2*o**2 + 31/4*o.
-(o - 4)*(8*o + 1)/4
Factor 0 + 0*c + 4*c**3 - 7/2*c**4 - 1/2*c**2.
-c**2*(c - 1)*(7*c - 1)/2
Let w(c) be the first derivative of 0*c - 1/12*c**4 + 1/3*c**2 - 3 + 1/9*c**3. What is b in w(b) = 0?
-1, 0, 2
Let c = 6153 - 6151. Factor 0 + a**c + 9/7*a**3 + 5/7*a**4 + 1/7*a**5 + 2/7*a.
a*(a + 1)**3*(a + 2)/7
Let o(m) be the third derivative of m**8/5040 - m**7/1890 - 29*m**4/24 + 6*m**2. Let d(g) be the second derivative of o(g). Let d(i) = 0. Calculate i.
0, 1
Let a(m) be the first derivative of -m**6/120 - m**5/20 + 3*m**3 - 5. Let w(n) be the third derivative of a(n). Let w(q) = 0. What is q?
-2, 0
Determine c so that 23/2*c**2 + 1 - 47/2*c = 0.
1/23, 2
Let i(k) be the first derivative of -k**8/1176 + k**7/1470 + k**6/840 - 5*k**2/2 - 10. Let l(j) be the second derivative of i(j). Determine x so that l(x) = 0.
-1/2, 0, 1
Let 112/5*u**2 + 0 + 4/5*u**3 + 784/5*u = 0. Calculate u.
-14, 0
Let q(l) be the first derivative of l**6/6 + 7*l**5/5 + 3*l**4/4 - 59*l**3/3 - 52*l**2 - 48*l - 25. Factor q(r).
(r - 3)*(r + 1)**2*(r + 4)**2
Let b(c) = -1283 - 223*c + c**2 - 421 - 1157 + 910. Let l(k) = -111*k - 975. Let f(d) = -3*b(d) + 7*l(d). Solve f(o) = 0 for o.
-18
Factor -23/4 - 93/4*q - q**2.
-(q + 23)*(4*q + 1)/4
What is c in 36/5*c - 16 + 2/5*c**2 = 0?
-20, 2
Let f be ((-2)/(-8))/((-40)/(-23264)). Let i = f - 145. Find m, given that -2/5*m**4 + 0 + 4/5*m - 4/5*m**3 + i*m**2 = 0.
-2, -1, 0, 1
Let g = 2767/7077 - -38/1011. Factor -24/7*q + g*q**2 + 3.
3*(q - 7)*(q - 1)/7
Let o = 935/6 - 309/2. Solve 4/3 - o*s**5 + 4/3*s**4 + 8/3*s**3 - 4/3*s - 8/3*s**2 = 0.
-1, 1
Factor -6936*l**2 - 4*l**4 - 26392*l - 13946*l - 38270*l - 272*l**3 - 334084.
-4*(l + 17)**4
Suppose -21*o + 17*o = -20. Factor -p**4 + o*p**4 + 4*p**2 - 8*p**3 + 2*p**4 - 2*p**4.
4*p**2*(p - 1)**2
Let j be ((2 + -1)/13)/((-60)/640020). Let n = 821 + j. Factor 0*o + n*o**2 - 2/13*o**3 + 0.
-2*o**2*(o - 3)/13
Let w = 7665/2 - 22975/6. Find n such that 0 + 6*n - 2*n**2 - 2/3*n**4 - w*n**3 = 0.
-3, 0, 1
Suppose 24*b = 23*b + 107. Let s = -105 + b. Factor 5/4*y**4 + 0 + 0*y - s*y**3 + 3/4*y**2.
y**2*(y - 1)*(5*y - 3)/4
Let d be -4*(1 + (-72)/32). Suppose 140 = t + 4*t. Factor -28*s**2 + 3*s**d - 3*s**4 + t*s**2.
3*s**4*(s - 1)
Solve -12 - 32/3*x + 4/3*x**2 = 0.
-1, 9
Let c(y) be the first derivative of 4 - 3*y + 2/3*y**2 + 1/9*y**3 - 1/18*y**4. Let d(q) be the first derivative of c(q). Solve d(h) = 0.
-1, 2
Let a(v) = 11*v**2 + 73*v. Let x(l) = -9*l**2 - 72*l. Let m(t) = -5*a(t) - 6*x(t). Factor m(k).
-k*(k - 67)
Let v(a) = -6*a**3 + 144*a**2 + 54*a + 51. Let h(b) = -b**3 + 28*b**2 + 11*b + 10. Let s(j) = -21*h(j) + 4*v(j). Factor s(p).
-3*(p + 1)**2*(p + 2)
Let g be (9/4)/((-1)/((-320)/(-372))). Let y = g - -548/155. Determine p so that -4/5*p + y - 4/5*p**2 = 0.
-2, 1
Let t be (-8)/(-3) + -2 - (-4 + 4). Let a = t + -1/3. Find l, given that 0 - a*l**2 - 1/3*l = 0.
-1, 0
Suppose -m - 4*y - 1 = 0, 3*m = -5*y - 2 + 6. Suppose 0*q - 147*q**4 - 208*q**m + 240*q**2 - 149*q**3 - 36*q = 0. Calculate q.
-3, 0, 2/7
What is g in 169/6 - 13/3*g + 1/6*g**2 = 0?
13
Let h(v) be the second derivative of v**6/120 + v**5/45 + v**4/72 + 3*v**2 - 9*v. Let r(q) be the first derivative of h(q). Factor r(j).
j*(j + 1)*(3*j + 1)/3
Let u(j) be the second derivative of -j**4/78 - 86*j**3/39 + 87*j**2/13 + 11*j. Factor u(r).
-2*(r - 1)*(r + 87)/13
Let w(l) = -l**2 - 17*l + 86. Let a be w(4). Factor -5 - 25/2*y + 5/2*y**3 - 15/2*y**a + 5/2*y**4.
5*(y - 2)*(y + 1)**3/2
Let u(c) = -c**3 + c. Let g(j) = -11*j**3 - 10*j**2 + 27*j - 6. Let b(x) = g(x) - 5*u(x). Let b(t) = 0. What is t?
-3, 1/3, 1
Factor 80 - 4*v**2 - 9*v - 4*v**3 + 0*v**3 + 57*v - 32*v**2.
-4*(v - 2)*(v + 1)*(v + 10)
Suppose 0 = 14*c - 15*c + 12. Suppose -c*p**2 - p + 53*p**4 + 9*p - 49*p**4 = 0. Calculate p.
-2, 0, 1
Factor 76*k**2 - 64*k**2 - 7*k**2 + 20*k + 15.
5*(k + 1)*(k + 3)
Let 6/11*j**2 - 34/11*j - 12/11 = 0. What is j?
-1/3, 6
Let d(v) be the first derivative of 2*v**5/65 + 9*v**4/13 + 54*v**3/13 - 299. Suppose d(f) = 0. What is f?
-9, 0
Factor -315*u**3 + 162*u**3 - 228*u**2 - 24*u**2 + 384*u - 3844 + 3708*u + 157*u**3.
4*(u - 31)**2*(u - 1)
Let t(m) be the third derivative of -m**8/336 - m**7/105 + m**6/40 + m**5/15 - m**4/6 + 58*m**2. Factor t(a).
-a*(a - 1)**2*(a + 2)**2
Let p(s) be the third derivative of 2/75*s**7 - 14*s**2 + 1/420*s**8 + 0 - 6/5*s**3 - 1/2*s**4 + 0*s + 7/75*s**6 + 2/75*s**5. Solve p(i) = 0 for i.
-3, -1, 1
Let n(k) = -k - 2. Let l be n(-7). Let m(q) = q**2 - 4*q + 1. Let z be m(l). Suppose -2*p**2 - 6*p - 3*p - 3*p**3 + z*p - 4*p**2 = 0. Calculate p.
-1, 0
Factor -54 - 36*d**3 + 56*d**2 + 2*d**3 - d**4 - 35*d + d**5 - 4*d + 7*d**4 + 64.
(d - 1)**4*(d + 10)
Let t = 192110/7 + -27444. Factor 0*q + 0 - 1/7*q**3 - t*q**2.
-q**2*(q + 2)/7
Let c(g) be the first derivative of g**3/3 + 5*g**2/2 + 4*g + 95. Factor c(f).
(f + 1)*(f + 4)
Let o = 113 - 224. Let k = -111 - o. Solve 2*p**2 + k + 14/5*p**3 - 4/5*p = 0.
-1, 0, 2/7
Let j = -1134 + 1134. Find x such that j + 8/9*x**5 + 0*x + 14/9*x**4 + 4/9*x**3 - 2/9*x**2 = 0.
-1, 0, 1/4
Factor -4/3*w**4 + 16/9*w**2 + 0*w + 0 + 0*w**3 + 4/9*w**5.
4*w**2*(w - 2)**2*(w + 1)/9
Suppose -147 = -14*l + 469. Let r(y) be the first derivative of -6*y**2 - 2 - 363/4*y**4 + 0*y - l*y**3. Factor r(i).
-3*i*(11*i + 2)**2
Factor 4/5*z**2 - 106/5 + 42*z.
2*(z + 53)*(2*z - 1)/5
Let f(c) = -c**5 - c**4 + c**2 - c + 1. Let t(l) = 9*l**5 + 11*l**4 - 7*l**3 - 27*l**2 - 10*l - 10. Let m(i) = 6*f(i) + t(i). Factor m(u).
(u - 2)*(u + 1)**3*(3*u + 2)
Let a(f) = 3*f - 1. Let j(x) = -3*x**2 - 36*x + 111. Let b(p) = 3*a(p) + j(p). Factor b(g).
-3*(g - 3)*(g + 12)
Let m = 6280/3 + -2090. Find d, given that -8/3*d**2 - 2/3*d**3 - 4/3 - m*d = 0.
-2, -1
Let j(v) be the third derivative of -v**7/1050 + v**6/50 - 3*v**5/20 + 5*v**4/12 - 238*v**2. Factor j(l).
-l*(l - 5)**2*(l - 2)/5
Let f(o) = o**2 - 6*o - 22. Let g be f(-3). Suppose 0*z - g*z = -z. Factor 2/9*x**2 + 0*x + 2/9*x**5 - 2/9*x**3 - 2/9*x**4 + z.
2*x**2*(x - 1)**2*(x + 1)/9
Let m(r) = -r**4 - r**2 - r. Let t(n) = -8*n**4 - 21*n**3 - 154*n**2 - 350*n. Let w(v) = -35*m(v) + 5*t(v). Suppose w(a) = 0. What is a?
-7, 0
Let d(m) be the first derivative of 0*m - 1/9*m**3 + 1/36*m**4 - 11 + 1/9*m**2. Factor d(b).
b*(b - 2)*(b - 1)/9
Let d be 10*4/100*((-4)/16 - -4). Factor 0 + d*k**2 + 1/2*k**3 + 0*k.
k**2*(k + 3)/2
Suppose -3*w + 26 = 4*i, 2*w - w + 2*i = 12. Suppose 4*f**4 - 3*f**4 + 6*f**w - 8*f**2 - 5*f + 1 + 10*f**3 - 5*f**5 = 0. Calculate f.
-1, 1/5, 1
Let d(x) be the third derivative of 0 + 1/36*x**6 + 1/1008*x**8 + 0*x - 19*x**2 + 1/126*x**7 + 5/72*x**4 + 1/18*x**3 + 1/18*x**5. What is p in d(p) = 0?
-1
Suppose -a + 2*a + 4 = 0. Let k = -1 - a. Determine j, given that -335*j**4 + 69*j**2 + 107*j**5 - 48*j - 12 + 62*j**5 - 22*j**5 - 22*j**4 + 201*j**k = 0.
-2/7, 1
Let j(g) be the first derivative of -g**5/510 - 7*g**4/204 - 2*g**3/17 - 37*g**2/2 - 35. Let d(i) be the second derivative of j(i). Factor d(f).
-2*(f + 1)*(f + 6)/17
Suppose 85 = z + 2*m + 75, -2*z - m = -8. Suppose -3*i + i = -4. Suppose -4/3 + z*y**i - 2/3*y = 0. Calculate