j(p) + 3*u(p). Solve a(m) = 0 for m.
-1, 10
Let w(h) be the third derivative of -h**6/200 + 21*h**5/100 - 39*h**4/40 + 19*h**3/10 - 170*h**2. Factor w(i).
-3*(i - 19)*(i - 1)**2/5
Factor 23/2 - o**2 + 15/4*o.
-(o + 2)*(4*o - 23)/4
Let y(l) be the first derivative of -5 + 0*l - 1/180*l**5 - 1/36*l**4 + 1/360*l**6 + 0*l**3 - 3*l**2. Let s(g) be the second derivative of y(g). Factor s(b).
b*(b - 2)*(b + 1)/3
Let f be 1/5 + 19/5. Let a(i) be the second derivative of -4*i - 1/3*i**f + 0*i**3 + 0*i**2 + 0 - 1/2*i**5. Solve a(r) = 0 for r.
-2/5, 0
Let q(m) be the second derivative of 5/27*m**3 - 25/18*m**2 - 1/108*m**4 + 9*m + 0. Factor q(o).
-(o - 5)**2/9
Let l(w) = w**2 + 16*w - 418. Let r be l(14). Factor -10/11*o**r - 8/11 + 24/11*o.
-2*(o - 2)*(5*o - 2)/11
Let d(r) = -r + 15. Let u(n) = -6*n + 89. Let c(h) = 34*d(h) - 6*u(h). Let f be c(14). Determine i so that 24*i + 0*i**f - 14*i - 15*i**2 + 5*i**4 = 0.
-2, 0, 1
Let u(s) be the second derivative of 2*s**7/21 - 3*s**6/5 + 4*s**5/5 + 4*s**4/3 + 11*s**2/2 + 6*s. Let r(t) be the first derivative of u(t). Factor r(i).
4*i*(i - 2)**2*(5*i + 2)
Suppose -17*k - 22*k = 0. Let i(h) be the second derivative of 0 - 1/21*h**7 - 3*h - 3/2*h**4 + 0*h**3 + k*h**2 + 1/3*h**6 - 3/10*h**5. Solve i(c) = 0.
-1, 0, 3
Let v(g) be the first derivative of -g**5/10 - 3*g**4/4 - 3*g**3/2 - g**2 + 56. Factor v(c).
-c*(c + 1)**2*(c + 4)/2
Factor 790/3*c + 5/3*c**2 + 31205/3.
5*(c + 79)**2/3
Let r = -164 - -164. Let q(h) be the first derivative of -13/4*h**4 - 2/3*h**6 - 12/5*h**5 + r*h - 1/2*h**2 - 2*h**3 - 1. Factor q(c).
-c*(c + 1)**2*(2*c + 1)**2
Let o(s) = -2*s**2 + 57*s - 77. Let g be o(27). Let f(j) be the second derivative of 1/15*j**3 + 3*j + 2/5*j**2 - 1/30*j**g + 0. Factor f(y).
-2*(y - 2)*(y + 1)/5
Let z(v) be the third derivative of -v**7/1365 + v**6/65 - 41*v**2. Factor z(g).
-2*g**3*(g - 12)/13
Let r(p) be the first derivative of p**4/72 + p**3/6 - 7*p**2/12 - 4*p + 20. Let n(z) be the first derivative of r(z). Factor n(j).
(j - 1)*(j + 7)/6
Suppose 1019*j = 1030*j - 22. Factor 0 + 1/3*c**j - c.
c*(c - 3)/3
Let d be ((-2107)/172)/(1/(-28)). Let u = d + -341. Find y such that -4/21 + 2/21*y + 2/21*y**u = 0.
-2, 1
Let m be ((-2)/(-14))/((-5)/(-20)*6/33). Solve 12/7 - m*y + 8/7*y**2 + 2/7*y**3 = 0.
-6, 1
Let u(d) = -7*d - 2. Let p be u(-2). Suppose -p = f - 3*f. Suppose -f*y**2 + 12*y**2 + 10*y**2 - 4*y**3 - 16*y = 0. Calculate y.
0, 2
Let m = -177 - -177. Let s(l) be the third derivative of 0*l**3 + 0*l**4 + m*l + 0 - 5*l**2 + 1/300*l**6 + 1/75*l**5. Let s(v) = 0. Calculate v.
-2, 0
Suppose -7*q + 80 = 3*q. Let d be -1 + 6/q - (-24)/32. Factor 0 + 0*a + d*a**2.
a**2/2
Let j(d) be the second derivative of 1/4*d**5 + 0 - 5/6*d**3 + 5*d - 15/2*d**2 + 5/4*d**4. Factor j(c).
5*(c - 1)*(c + 1)*(c + 3)
Let q(s) be the first derivative of s**4/24 - 85*s**3/6 + 7225*s**2/4 - 614125*s/6 - 28. Factor q(g).
(g - 85)**3/6
Let l(z) be the third derivative of -z**8/1680 - z**7/210 + 13*z**6/600 - 7*z**5/300 + 13*z**2 + 3*z. Let l(s) = 0. Calculate s.
-7, 0, 1
Let g = 24 - 20. Factor g*m**2 + 389 - 389 - 8*m.
4*m*(m - 2)
Suppose -j - 3*q - 19 = 0, j - 2 - 3 = 5*q. Let m = -5 - j. Let o(g) = -g. Let t(r) = r**2 - 4*r - 2. Let h(k) = m*o(k) - t(k). Suppose h(f) = 0. Calculate f.
-2, 1
Factor -12/5 + 3/5*j**2 + 9/5*j.
3*(j - 1)*(j + 4)/5
Let i(b) = b - 7. Let s be i(7). Let a = -28 + 31. Factor 0 + 3/5*y**2 + 3/5*y**a + s*y.
3*y**2*(y + 1)/5
Suppose 181 = 3*j + 25. Factor -o**4 + 6*o - 2*o**4 + 61*o**2 - j*o**2.
-3*o*(o - 2)*(o + 1)**2
Let r(y) = 27*y - 132. Let z be r(5). Let a(u) be the first derivative of -7 - 27/8*u - 9/8*u**2 - 1/8*u**z. Suppose a(n) = 0. What is n?
-3
Let h(v) be the second derivative of -v**6/12 - 7*v**5/8 + 5*v**4/3 - 189*v - 2. Factor h(y).
-5*y**2*(y - 1)*(y + 8)/2
Let t(q) = q + 12. Let w be t(-10). Let l(z) be the third derivative of 1/20*z**5 - z**w + 1/40*z**6 - 2*z**3 + 0*z + 0 - 1/2*z**4. Factor l(m).
3*(m - 2)*(m + 1)*(m + 2)
Suppose 69/2*n - 1/4*n**2 - 4761/4 = 0. Calculate n.
69
Let u = 241 - 236. Suppose 4 = 4*a, n + 1 = -u*a + 9. Factor 2/13*y + 2/13*y**n + 4/13*y**2 + 0.
2*y*(y + 1)**2/13
Let y(f) be the first derivative of -1/8*f**4 + 0*f - 37 + 3/8*f**2 + 5/12*f**3. Solve y(x) = 0.
-1/2, 0, 3
Let o = -150 + 172. Let f be -1 + (-18)/(-21) - o/(-56). Factor 0*i + 1/4 + 0*i**3 + f*i**4 - 1/2*i**2.
(i - 1)**2*(i + 1)**2/4
Let y(a) be the third derivative of -a**6/200 + 13*a**5/100 - 3*a**4/10 - 49*a**2 + a. Factor y(n).
-3*n*(n - 12)*(n - 1)/5
Let a(t) be the second derivative of t**7/14 - t**6/10 - 3*t**5/80 + t**4/16 + 330*t + 2. Solve a(o) = 0.
-1/2, 0, 1/2, 1
Determine j, given that 1248 - 630 + 3*j**2 - 36*j - 585 = 0.
1, 11
Let n(z) = z + 3. Let o(p) = 2*p**2 + 14*p + 26. Let d(g) = -2*n(g) - o(g). Let d(h) = 0. What is h?
-4
Determine m so that 8/13*m**5 + 0*m**2 - 4*m**3 + 0 + 0*m + 206/13*m**4 = 0.
-26, 0, 1/4
Let a(g) be the first derivative of 3*g**4/4 - 81*g**3 + 6561*g**2/2 - 59049*g + 3. Factor a(z).
3*(z - 27)**3
Let o(g) be the third derivative of 0*g + 0 + 4*g**2 + 1/15*g**5 - 4/3*g**3 + 1/6*g**4. Factor o(y).
4*(y - 1)*(y + 2)
Let w(r) be the second derivative of -r**5/5 - 2*r**4 - 6*r**3 - 8*r**2 - 105*r. Factor w(m).
-4*(m + 1)**2*(m + 4)
Let g be 2/(-5) + (-24)/(-10). Suppose h + 2*u = 3, 2*h + u - 9 = -h. Find o such that 2*o**g + 2 - h*o + 4*o + 3*o = 0.
-1
Let v = -77395/3 + 25800. Determine r so that 0 + 0*r + v*r**3 + 5/3*r**2 = 0.
-1, 0
Determine g so that 50/13*g**2 + 46/13 + 94/13*g + 2/13*g**3 = 0.
-23, -1
Let j(l) be the second derivative of l**6/720 + l**5/120 + l**4/48 - 13*l**3/6 + l**2/2 - l + 18. Let y(q) be the second derivative of j(q). Factor y(v).
(v + 1)**2/2
Let t be (-2)/(((-22)/(-54))/((-105)/63)). Find z, given that -t*z**3 - 48/11*z**2 + 8/11*z + 0 = 0.
-2/3, 0, 2/15
Let o(c) = -2*c**3 + c**2 + 1. Let z(x) = 12*x**3 + 85*x**2 - 186*x + 89. Let t(y) = -10*o(y) - 2*z(y). Suppose t(s) = 0. What is s?
-47, 1
Suppose -6 - 14 = 4*h. Let w(a) = -a + 3. Let u be w(h). Factor -u*i + 4*i + 36 + 4*i**3 - 40 + 4*i**2.
4*(i - 1)*(i + 1)**2
Let g = -64505/9 - -21502/3. Determine v, given that 8/9*v - 5/9*v**2 + g*v**3 - 4/9 = 0.
1, 2
Let z = 319/30 - 53/6. Determine k so that z*k**2 - 4*k + 12/5 - 1/5*k**3 = 0.
1, 2, 6
Let f be 5/((-10)/88)*1. Let k be 8/f - 105/(-33). Determine v, given that 6 + 9*v - k + 5*v**3 + 12*v**2 - 3*v**2 - 2*v**3 = 0.
-1
Let b be (-3)/(-19)*(-31 + 50). Let b*d**2 + d**3 + 0*d - 9/5*d**5 - 3*d**4 - 4/5 = 0. What is d?
-1, 2/3
Suppose 0 = -2*s - 10*s - 612. Let p = -49 - s. Let -3/5*g**p + 3/5 + 3/5*g**3 - 3/5*g = 0. Calculate g.
-1, 1
Let s(z) = -z**3 + 71*z**2 - 132*z - 414. Let g be s(69). Find u, given that g*u + 1/3*u**4 + 1/3*u**5 - 1/3*u**2 + 0 - 1/3*u**3 = 0.
-1, 0, 1
Let d(r) be the second derivative of -2*r**7/21 - 4*r**6/5 - 8*r**5/5 + 2*r**4 + 6*r**3 - 8*r + 1. Suppose d(t) = 0. Calculate t.
-3, -1, 0, 1
Let y(b) be the second derivative of b**8/6720 + b**7/10080 - b**6/960 - b**4/3 - 20*b. Let t(g) be the third derivative of y(g). Factor t(u).
u*(u + 1)*(4*u - 3)/4
Suppose -41 = -3*n - 2. Suppose 2*v - n*v + 22 = 0. Factor -4/7*c + 2/7*c**v + 0.
2*c*(c - 2)/7
Factor 0 - 34/3*r + 1/3*r**2.
r*(r - 34)/3
Let c(x) be the second derivative of 2*x + 1/80*x**5 - 1/24*x**3 - 5/48*x**4 + 1/4*x**2 + 1/40*x**6 + 0. Factor c(m).
(m - 1)*(m + 1)**2*(3*m - 2)/4
Let z(h) be the second derivative of -h**6/60 - h**5/5 - 23*h**4/24 - 7*h**3/3 - 3*h**2 + 385*h. What is d in z(d) = 0?
-3, -2, -1
Let z be (-212)/3710*4/(8/(-7)). Factor 0*a + 0 - 2/5*a**3 + z*a**4 + 0*a**2.
a**3*(a - 2)/5
Let x be (-2)/(-6) - 4/(60/(-25)). Find a such that 4*a + 2*a**3 - 8*a**3 + x*a**4 + 2*a**3 - 2 = 0.
-1, 1
Let y(h) be the first derivative of h**4/6 + 10*h**3/9 + 4*h**2/3 + 158. Factor y(s).
2*s*(s + 1)*(s + 4)/3
Let o be (0 - -4) + ((-20)/(-10) - 2). Let u(j) be the first derivative of -1/15*j**5 + 0*j**3 - 5 - 1/12*j**o + 0*j + 0*j**2. Solve u(m) = 0 for m.
-1, 0
Let q(v) = 33*v + 75. Let k(p) = p**2 + 65*p + 146. Let i(x) = -3*k(x) + 5*q(x). Factor i(n).
-3*(n + 3)*(n + 7)
Let a = -22 + 10. Let q be (-9)/(-12) - a/(-80). Factor 0 - q*j**4 + j**3 + 0*j + 2/5*j**2.
-j**2*(j - 2)*(3*j + 1)/5
Let z(m) be the second derivative of -m**5/70 + 5*m**4/42 + 25