 3*s(p). Determine k, given that x(k) = 0.
-1, 1, 98
Suppose 2*c - 152 + 12 = 0. Suppose c*x - 73*x + 12 = 0. Determine u, given that 3/2*u**3 + 0 - 3/2*u**x + 0*u**2 + 0*u = 0.
0, 1
Let h(i) be the second derivative of -i**7/56 + 7*i**6/10 - 939*i**5/80 + 873*i**4/8 - 1215*i**3/2 + 2025*i**2 + 306*i. Factor h(a).
-3*(a - 6)**3*(a - 5)**2/4
Let h(q) be the second derivative of -q**7/17640 - q**6/5040 + 3*q**4/4 - 9*q. Let t(j) be the third derivative of h(j). Factor t(d).
-d*(d + 1)/7
Let q be 94/6 + (1566/(-81))/(-29). Solve 4/3 - 8/3*o + 68/3*o**3 - q*o**2 + 35*o**4 = 0.
-1, -1/3, 2/7, 2/5
Suppose -3*k - 10*h + 15 = -13*h, 0 = 2*k + 4*h + 8. What is b in 1/4*b**3 + 1/2*b + 0 + 3/4*b**k = 0?
-2, -1, 0
Let z be 3685/1206 + (-1 - (4 + -2)). Let g(b) be the second derivative of -1/36*b**4 + 4*b + 1/3*b**2 + z*b**3 + 0. Factor g(c).
-(c - 2)*(c + 1)/3
Let c(s) = s**2 + 9*s - 1. Let a(p) = -p**2 + p - 1. Let t(q) = -10*a(q) - 2*c(q). Factor t(v).
4*(v - 3)*(2*v - 1)
Let l(k) be the second derivative of -k**7/1680 + k**6/240 - k**5/120 - k**3/6 - 8*k. Let u(q) be the second derivative of l(q). Factor u(y).
-y*(y - 2)*(y - 1)/2
Let j(r) be the third derivative of -1/240*r**5 - 1/32*r**4 + 0 - 9*r**2 + 0*r - 1/12*r**3. Let j(y) = 0. Calculate y.
-2, -1
Find c, given that 2*c**3 - 40*c + 23*c**4 + 76*c**2 - 26*c**3 - 11*c**4 - 16*c**4 - 8*c**3 = 0.
-10, 0, 1
Let r = -67/2 - -203/6. Let y(n) be the second derivative of -1/5*n**5 + 0*n**2 - 4*n + 2/3*n**3 + 0 - 2/15*n**6 + r*n**4. Let y(a) = 0. What is a?
-1, 0, 1
Let l = 5 - 3. Let a be 8*((-5)/l + 3). Factor 2 + h**3 + a - 3*h - 4.
(h - 1)**2*(h + 2)
Let h(a) = 17*a**2 - 26*a - 11. Let q(b) = -14*b**2 + 25*b + 11. Let v(f) = 4*h(f) + 5*q(f). Solve v(i) = 0.
-1/2, 11
Let p(o) be the first derivative of 0*o - 16 + 0*o**2 + 2/27*o**3 + 1/18*o**4. Let p(w) = 0. What is w?
-1, 0
Let t(r) = -2 - 7*r**3 + 7*r - 5 - 5*r**2 - r + 1. Let j(q) = 6*q**3 + 5*q**2 - 5*q + 5. Let v(k) = -6*j(k) - 5*t(k). Factor v(w).
-w**2*(w + 5)
Let l(o) = 3*o**2 - o. Let h be l(-1). Factor 2*w**2 + 24*w - 2*w**4 - 12*w + h*w**3 - 16*w.
-2*w*(w - 2)*(w - 1)*(w + 1)
Let p(r) = -2*r**2 - 2*r + 5. Let b(s) = s**2 - s - 1. Suppose 18*v - 16*v - 2 = 0. Let x(n) = v*b(n) + p(n). Suppose x(y) = 0. Calculate y.
-4, 1
Let v be 4 + 1/((-12)/40). Let r(f) be the second derivative of -2*f - 4/15*f**6 + 0*f**2 - 4/3*f**4 + 0 - f**5 - v*f**3. Factor r(j).
-4*j*(j + 1)**2*(2*j + 1)
Suppose -16/7*v**4 + 144/7*v**2 - 36/7*v + 0 - 104/7*v**3 + 12/7*v**5 = 0. What is v?
-3, 0, 1/3, 1, 3
Let t(f) = -3*f**3 - 20*f**2 + 45*f - 26. Let b(i) = -i**3 - i - 2. Let d(p) = b(p) - t(p). Suppose d(j) = 0. Calculate j.
-12, 1
Factor 2/3*y**3 + 52/3*y**2 + 192 + 128*y.
2*(y + 2)*(y + 12)**2/3
Let y(f) be the third derivative of -2/21*f**3 + 26*f**2 + 1/28*f**4 + 0 + 0*f - 1/210*f**5. Let y(s) = 0. What is s?
1, 2
Let v be (-1 + 1)/(-3)*-1. Suppose 4*p**3 + 64*p**5 - 151*p**4 + v*p**3 + 119*p**4 + 0*p**3 = 0. Calculate p.
0, 1/4
Suppose 2*n - 4*n - 32*j + 96 = 0, 0 = 4*n + 2*j - 6. Factor -8/3*x - 8/3*x**2 + 2/3*x**4 + 2/3*x**3 + n.
2*x*(x - 2)*(x + 1)*(x + 2)/3
Let l(m) = m**3 + 25*m**2 + 99*m - 3. Let n(w) = -w**3 + w**2 + w + 1. Let i(p) = -l(p) - 3*n(p). Factor i(r).
2*r*(r - 17)*(r + 3)
Let o(i) = 23*i**2 - 32*i - 103. Let b(a) = -4*a**2 + a - 1. Let t(c) = 5*b(c) + o(c). Let t(g) = 0. What is g?
-3, 12
Suppose 12 = 5*j + 13*z - 17*z, 0 = 2*j - 5*z - 15. Let m(h) be the third derivative of 0*h**3 + 1/30*h**5 - 2*h**2 + j*h + 0 + 1/4*h**4. Solve m(y) = 0 for y.
-3, 0
Let j be (23 - 2622/115)*(1 + 1). Factor 12/5*n + j*n**2 + 18/5.
2*(n + 3)**2/5
Let t(l) be the third derivative of 1/45*l**3 + 0*l**5 + 0*l - 1/450*l**6 + 0 + 1/90*l**4 - 1/1575*l**7 - 7*l**2. Solve t(q) = 0 for q.
-1, 1
Let x(f) = f**2 - 5*f + 6. Let i be x(4). Suppose 0*y - 4*y + 2*t = 0, -2*t = -3*y - i. Factor y*u**3 - 3 - 14*u**3 - 2*u**4 - u**4 - 12*u - 18*u**2 + 0*u**3.
-3*(u + 1)**4
Let d = 35/22 + -47/33. Let i(q) be the first derivative of -6 - 1/16*q**4 + 0*q**2 + d*q**3 + 0*q. Factor i(j).
-j**2*(j - 2)/4
Let n(l) be the second derivative of 1/24*l**4 + 0 + 3/40*l**5 - 14*l + 0*l**2 - 1/6*l**3. Factor n(p).
p*(p + 1)*(3*p - 2)/2
Let i(u) = 19*u**2 + u + 1. Let l be i(-1). Factor -5*g + 20*g + l*g**3 - 27*g**2 - 2*g**3 - 8*g**3 + 3*g**4.
3*g*(g - 1)**2*(g + 5)
Let s(k) be the first derivative of -k**7/231 + k**6/165 + k**5/110 - k**4/66 - k - 10. Let u(v) be the first derivative of s(v). Factor u(r).
-2*r**2*(r - 1)**2*(r + 1)/11
Let t(m) be the first derivative of -2*m**3 + 17 + 1/2*m**4 + 0*m + 2*m**2. Suppose t(a) = 0. What is a?
0, 1, 2
Let t(i) be the third derivative of i**7/490 + i**6/140 - i**5/35 - i**4/7 - 239*i**2. Factor t(s).
3*s*(s - 2)*(s + 2)**2/7
Let z(f) be the first derivative of -f**3/18 - 3*f**2/4 - 10*f/3 - 101. Factor z(a).
-(a + 4)*(a + 5)/6
Let -41*i + 183*i**2 + 157*i**2 - 105*i + 12 - 100*i**3 + 22*i = 0. Calculate i.
1/5, 3
Let w(g) be the third derivative of 0*g**3 + 0*g + 0*g**4 - 8*g**2 + 0 - 1/60*g**5. Factor w(d).
-d**2
Suppose -18 - 10 = 4*m. Let h(c) = -c**2 - 8*c - 3. Let v be h(m). Factor -3*z + 4*z**3 + v*z**4 + 5 - 6*z**4 - 3 - z.
-2*(z - 1)**3*(z + 1)
Let s(d) = -2*d**2 + 190*d - 1064. Let q be s(6). Factor 0 + 16/17*u - 50/17*u**q - 88/17*u**2 + 140/17*u**3.
-2*u*(u - 2)*(5*u - 2)**2/17
Let z(a) = -6*a + 3. Let v be z(-1). Suppose 7*k - v = 4*k, -5*k + 7 = -2*t. Solve -14/3*n**5 - 4/3*n + 0 + 46/3*n**t + 26/3*n**2 - 18*n**3 = 0 for n.
0, 2/7, 1
Suppose -5*b = 2*d - 4 - 1, 5 = -d. Suppose -b = -11*t + 10*t. Find w such that -2/5*w**2 + 2/5*w**t + 2/5 - 2/5*w = 0.
-1, 1
Let m(a) be the third derivative of a**5/180 - 49*a**4/36 + 2401*a**3/18 + 2*a**2 - 35*a. Factor m(v).
(v - 49)**2/3
Suppose 38*r - 125 = 65. Let f(m) be the first derivative of r - m**2 - m**4 + 1/5*m**5 + 0*m + 5/3*m**3. Factor f(s).
s*(s - 2)*(s - 1)**2
Solve -2/3*c**3 + 230*c - 346/3 - 114*c**2 = 0.
-173, 1
Let w = -147/38 + 159/19. Factor -3/4*n**3 + 3/4*n**4 + 3*n + 6 - w*n**2.
3*(n - 2)**2*(n + 1)*(n + 2)/4
Let q(v) = -v - 3. Let j be q(-4). Let k be -4 + 2 + (j - -3). Let -1/2*x**4 - 1/2 + k*x - 3*x**2 + 2*x**3 = 0. Calculate x.
1
Let k = -48 + 30. Let y be 76/171 - 4/k. Factor y*i + 1/3 + 1/3*i**2.
(i + 1)**2/3
Let y(q) be the first derivative of -q**6/10 + 27*q**5/25 - 9*q**4/4 + 7*q**3/5 - 65. Solve y(z) = 0.
0, 1, 7
Suppose -h = 5*x - 7, 0 = -x - 3*x + 5*h + 23. Solve 15*f**2 + 104*f + 18*f**2 + 3*f**x + 4*f**3 - 8*f + 64 = 0.
-4, -1
Suppose -1/4*u**3 - 7/4*u**2 - 3/2*u + 0 = 0. Calculate u.
-6, -1, 0
Let w(h) be the third derivative of h**6/270 - 8*h**5/135 + 7*h**4/18 - 4*h**3/3 + 20*h**2. Factor w(d).
4*(d - 3)**2*(d - 2)/9
Let z be 73167/51660*2 - (-3)/(-7). Let t = z - 1/246. Factor 0 - 21/5*g**3 - 36/5*g**2 + t*g.
-3*g*(g + 2)*(7*g - 2)/5
Let x(u) be the second derivative of 0 - 1/1260*u**6 - 1/420*u**5 + 1/42*u**4 + 3*u + 2/3*u**3 + 0*u**2. Let w(s) be the second derivative of x(s). Factor w(y).
-2*(y - 1)*(y + 2)/7
Let m(y) = 6*y**5 - 15*y**4 + 36*y**3 - 33*y**2 + 15*y + 6. Let z(g) = -g**5 - g**4 + g**3 - g**2 - g - 2. Let h(l) = m(l) + 3*z(l). Factor h(r).
3*r*(r - 2)**2*(r - 1)**2
Let 20 + 15*m**4 + 0*m - 3*m**3 - 8 + 12 - 3*m**5 - 21*m**2 - 18*m**2 + 6*m = 0. Calculate m.
-1, 1, 2, 4
Let v(c) be the second derivative of -c**4/30 - 4*c**3/5 - 11*c**2/5 + c + 14. Solve v(r) = 0 for r.
-11, -1
Let r(h) be the third derivative of h**5/270 - h**4/108 - 2*h**3/9 + 11*h**2 - 4*h. Let r(s) = 0. What is s?
-2, 3
Let f be 3*(-4 - -3) - -24*1. Let k be (-1)/(-1 + 0) - -4. Let k*b**2 + b**2 + f*b**3 - b**2 + b**2 = 0. What is b?
-2/7, 0
Suppose -2*d + 12 = -4*y, -5*d - 4*y + 3*y + 8 = 0. Let i(w) = w**2 - 2. Let z be i(-2). Suppose 0 + z*b - 2/3*b**d = 0. What is b?
0, 3
Suppose -2*o - 3*o = -5*x + 220, 5*x = 4*o + 217. Let h = 43 - x. Factor 2/11*i**h + 2/11 + 4/11*i.
2*(i + 1)**2/11
Suppose -165 = -5*p - 4*c - 6, 4*c = -16. Factor 3*g**2 + 34*g**4 - p*g**4 + 5*g**3 - 3*g**3.
-g**2*(g - 3)*(g + 1)
Let y(f) be the third derivative of f**8/1848 + 43*f**7/1155 + 197*f**6/330 - 145*f**5/33 + 1541*f**4/132 - 529*f**3/33 + 2*f**2 + 12. Factor y(x).
2*(x - 1)**3*(x + 23)**2/11
Suppose 8*b - 12*b = 0. Suppose 4*u = -u + 4*s + 60, -s - 5 = b. Solve -2*y**3 + u*y**4 - 4*y*