 - 3*t**3 - 21 = 0. Calculate t.
-3, -2
Let s(o) be the second derivative of -o**7/21 - o**6/15 + 17*o**5/2 - 275*o**4/6 - 7*o - 23. Find v such that s(v) = 0.
-11, 0, 5
Let h(s) = -3*s**3 + 6*s**2 + 9*s - 3. Let v(l) = -3*l**3 + 6*l**2 + 11*l - 2. Let f(u) = 4*h(u) - 3*v(u). Factor f(g).
-3*(g - 2)*(g - 1)*(g + 1)
Let z(u) = -u**2 - 4*u. Let m be z(-3). Suppose -6 = -m*q - 0. Let -3*n**2 - 7*n - q*n + 12*n = 0. Calculate n.
0, 1
Suppose -5*i + 3*l + 35 = -2*l, -l - 5 = 0. Factor 1/4*h**3 + 0 + 1/4*h**i + 0*h.
h**2*(h + 1)/4
Let q(a) = 99*a + 9609. Let w be q(-97). Let -3/2*s + 3/2*s**3 + 6 - w*s**2 = 0. Calculate s.
-1, 1, 4
Let o = -12500 - -12504. Let -5/2*c**2 + 3/8*c**o - 3/2*c + 0 - 1/8*c**3 = 0. Calculate c.
-2, -2/3, 0, 3
Let s(z) = -55*z**2 - 5*z - 130. Let w(c) = -2*c**2 - c - 2. Let q(i) = -s(i) + 30*w(i). Factor q(j).
-5*(j - 2)*(j + 7)
Let z(o) be the first derivative of 5*o**6/3 - 9*o**5 + 15*o**4 - 20*o**3/3 + 626. Factor z(c).
5*c**2*(c - 2)**2*(2*c - 1)
Suppose -51*m + 47*m = -16. Factor 12*i + 47*i**2 - m - 31*i**2 + 0 - 21*i**2.
-(i - 2)*(5*i - 2)
Let m = 8/169 - -829/338. Let p = 4 + -4. Let 9/2*c**2 + p + m*c**4 - 6*c**3 - c = 0. Calculate c.
0, 2/5, 1
Let j be ((-24)/6)/((-3)/90). Let i be ((-4)/30)/(3/j*-2). Let -2/3*g**4 - 10/3*g**3 - 16/3*g**2 - i*g + 0 = 0. What is g?
-2, -1, 0
Suppose 4*j = 4*u + 332, -32 - 418 = -5*j - 2*u. Suppose j - 20*t + 65 - 133 + 5*t**2 = 0. What is t?
2
Let u(f) be the second derivative of -f**5/130 + 23*f**4/78 - 43*f**3/39 + 21*f**2/13 - 17*f. Solve u(c) = 0 for c.
1, 21
Let c(a) be the second derivative of -a**7/84 + 4*a**6/15 - 23*a**5/20 - 6*a**4 - 27*a**3/4 - 272*a - 2. Factor c(k).
-k*(k - 9)**2*(k + 1)**2/2
Let g(n) = 166*n + 2. Let u be g(0). Factor 0 - 52/7*q**u - 20/7*q**3 + 24/7*q.
-4*q*(q + 3)*(5*q - 2)/7
Let z be 4/4*-4*-4. Let s = -16 + z. Factor x**2 + 4/5*x**3 + 2/5*x + 1/5*x**4 + s.
x*(x + 1)**2*(x + 2)/5
Let k(g) be the first derivative of 0*g + 5/3*g**3 - 6 - 5*g**2. Find s such that k(s) = 0.
0, 2
Solve -43*o**2 - 78*o + 15*o**4 - o**5 + 1724 + 19*o**3 + 0*o**4 - 1756 = 0 for o.
-1, 2, 16
Let j(z) = -2*z**5 - 17*z**4 + 10*z**3 + 142*z**2 - 77*z - 200. Let v(u) = u**4 - u. Let s(d) = -j(d) - 3*v(d). Determine c so that s(c) = 0.
-5, -1, 2
Let r(h) be the second derivative of h**4/24 + h**3/2 + 2*h**2 + 66*h - 2. Factor r(j).
(j + 2)*(j + 4)/2
Let v = 168 + -45. Let t = v - 613/5. Factor 0 - 6/5*n**2 - t*n**3 - 4/5*n.
-2*n*(n + 1)*(n + 2)/5
Let c be (-160)/(-456) - (-6)/19. Find p such that -2/9*p + 4/9 - c*p**2 + 2/9*p**3 + 2/9*p**4 = 0.
-2, -1, 1
Let j(f) = -f + 1. Let l(b) = -4*b + 6. Let o(v) = 6*j(v) + 3*l(v). Let u(n) = n**2 + 36*n - 47. Let i(z) = 5*o(z) + 3*u(z). Factor i(c).
3*(c - 1)*(c + 7)
Let p(w) = 2*w**2 - w + 2. Let q(h) = 15*h**3 - 14*h**2 - 13*h + 6. Let y(g) = -2*p(g) - q(g). Determine o so that y(o) = 0.
-1, 2/3, 1
Find g such that -g**2 + 148*g - 4*g**3 + g**4 - 138*g - 5*g**2 - g**2 = 0.
-2, 0, 1, 5
Let p(j) be the first derivative of 0*j + 11 + 1/40*j**5 + 1/360*j**6 - 3*j**3 + 1/12*j**4 + 0*j**2. Let f(g) be the third derivative of p(g). Factor f(t).
(t + 1)*(t + 2)
Suppose 0 = 14*r - 10 - 74. Let k(s) be the second derivative of 0*s**5 - 1/15*s**r + s + 0 + 0*s**3 + 0*s**4 + 0*s**2. Factor k(h).
-2*h**4
Let j(q) be the second derivative of q**7/231 - q**5/22 + 4*q**3/33 - 32*q. Find n such that j(n) = 0.
-2, -1, 0, 1, 2
Let o be -1*2 + 2 + (-5 - (-319)/58). Let z(g) = -g**3 + 4*g**2 + 4*g + 5. Let i be z(5). Factor i + m + o*m**2.
m*(m + 2)/2
Let k be 6/2 - (12 - 6). Let d be 10 + k - (1 - -2). Find a, given that -4*a**3 - 4*a**3 + 0*a**3 + 6*a + 3*a**d - 3 + 2*a**3 = 0.
-1, 1
Let s(m) be the first derivative of -m**5/600 - m**4/80 - m**3/30 - 7*m**2/2 - 12. Let z(a) be the second derivative of s(a). Solve z(u) = 0.
-2, -1
Factor -22/13*j - 2/13*j**2 - 48/13.
-2*(j + 3)*(j + 8)/13
Let d(s) be the third derivative of -s**5/30 + 5*s**4/3 + 23*s**3 - 177*s**2 - 2*s. Let d(b) = 0. What is b?
-3, 23
Factor 8*x**5 + 18*x**3 - 71*x**2 - 4*x**5 + 14*x**4 + 30*x**3 + 103*x**2 + 10*x**4.
4*x**2*(x + 2)**3
Let a(p) = 19*p**3 + 381*p**2 - 365*p + 21. Let d(t) = 6*t**3 + 126*t**2 - 122*t + 6. Let m(h) = 2*a(h) - 7*d(h). Solve m(r) = 0.
-31, 0, 1
Let b = 58539/17 + -3443. Let -8/17*z + b - 6/17*z**2 + 4/17*z**3 + 2/17*z**4 = 0. What is z?
-2, 1
Let r be (-4)/22 + 360/165. Factor -2*b**3 + 7*b**2 - 12*b + 2*b**r + 6*b**3 - b**2.
4*b*(b - 1)*(b + 3)
Suppose -2*a - m + 15 = 0, 5*m - 95 + 72 = 3*a. Solve 0 - 1/4*u**3 - 1/4*u**2 + 0*u + 1/4*u**a + 1/4*u**5 = 0.
-1, 0, 1
Let t = 11 - -10. Let j be 57/t - 2/(-7). Find d, given that 11 - 16*d**4 - 17 + 44*d**j + 10 - 36*d**2 + 4*d = 0.
-1/4, 1
Let s(m) be the third derivative of 5/6*m**3 + 0*m + 0 + 7/48*m**4 - 22*m**2 + 1/120*m**5. Factor s(x).
(x + 2)*(x + 5)/2
Let h be (-6)/10*146/(-219). What is l in 0 - h*l**3 - 2/5*l - 4/5*l**2 = 0?
-1, 0
Let k(z) be the first derivative of z**7/924 - z**6/165 + 3*z**5/220 - z**4/66 + 4*z**3/3 - 16. Let t(f) be the third derivative of k(f). Factor t(a).
2*(a - 1)**2*(5*a - 2)/11
Let p be (38/(-1))/(-29 - -22). Suppose 66/7*f**2 + 6/7 - p*f - 18/7*f**3 = 0. What is f?
1/3, 3
Let p(o) be the second derivative of 0 - 1/20*o**5 + 0*o**2 - 1/12*o**4 + 0*o**3 - 6*o. Factor p(b).
-b**2*(b + 1)
Let s be -2 - ((-20)/66)/(-5). Let l = s + 30/11. Find v such that l - 1/3*v**2 - 1/3*v = 0.
-2, 1
Let x(n) be the first derivative of -n**8/1680 + n**7/525 - n**6/600 + 10*n**2 + 7. Let t(r) be the second derivative of x(r). Suppose t(z) = 0. What is z?
0, 1
Let o(u) be the second derivative of u**5/60 - u**4/2 + 10*u**3/3 + 100*u**2/3 + 173*u. Factor o(a).
(a - 10)**2*(a + 2)/3
Factor -211*o**2 - 2 + o**3 - 12*o + 2 + 220*o**2 + 2*o**3.
3*o*(o - 1)*(o + 4)
Let y(q) be the third derivative of -q**6/180 - 8*q**5/45 + 18*q**2. Factor y(x).
-2*x**2*(x + 16)/3
Let t(k) be the first derivative of -4 + 3/4*k**2 + 1/2*k**4 - 1/20*k**5 + 0*k - 13/12*k**3. Factor t(w).
-w*(w - 6)*(w - 1)**2/4
Suppose -5*b = -3*d - 15, -2*b = -0*d - d - 6. Suppose 0 = -d*p - p + 3. Factor -4*x**2 - 8/3*x**p - 8/3*x - 2/3*x**4 - 2/3.
-2*(x + 1)**4/3
Let h(o) be the second derivative of 4*o + 0 - 1/2*o**3 - o**2 - 1/12*o**4. Factor h(w).
-(w + 1)*(w + 2)
Let f be ((-1)/27)/((-20)/(-80))*-6. Factor -2/9*y**3 + 0 - 8/9*y - f*y**2.
-2*y*(y + 2)**2/9
Suppose -3*w + 21 = 174. Let i = 256/5 + w. Suppose -1/5 + 0*b + i*b**2 = 0. What is b?
-1, 1
Let i(j) be the second derivative of -j**7/49 + j**6/21 - 106*j. Let i(o) = 0. What is o?
0, 5/3
Let z(n) be the second derivative of n**8/336 + n**7/168 - n**6/144 - 5*n**4/3 - 5*n. Let y(v) be the third derivative of z(v). Solve y(m) = 0 for m.
-1, 0, 1/4
Factor 237*f + 5*f**3 - 103*f - 109*f - 30*f**2.
5*f*(f - 5)*(f - 1)
Let h be (30/25)/(4/10) - -242. Let t be 189/h + (-4)/7. Factor 1/5*i**3 + 3/5*i**2 + t + 3/5*i.
(i + 1)**3/5
Suppose -5*s + 46 = -3*s. Let n = -21 + s. Suppose -1/4*b**n - 1/4 - 1/2*b = 0. Calculate b.
-1
Let n = -11 + 25. Let h(l) = 2*l**2 - 2*l + 5. Let z(o) = -5*o**2 + 5*o - 11. Let w(q) = n*h(q) + 6*z(q). Determine j so that w(j) = 0.
-1, 2
Let w(u) be the second derivative of 2*u**6/135 - u**5/15 + u**4/9 - 2*u**3/27 - 21*u + 10. Solve w(d) = 0.
0, 1
Let q(j) be the second derivative of 5*j**7/36 - 5*j**6/6 + j**5/3 - 20*j + 15. What is m in q(m) = 0?
0, 2/7, 4
Let p(c) be the second derivative of -c**7/2520 + c**5/120 - 17*c**4/12 - 13*c. Let a(q) be the third derivative of p(q). Factor a(s).
-(s - 1)*(s + 1)
Suppose -3*n - 3*u = -786, 2*u - 1310 = -14*n + 9*n. Let l = 262 - n. Factor 2/5*b**3 - 2/5*b + 0*b**2 + l.
2*b*(b - 1)*(b + 1)/5
Let a(x) be the second derivative of x**4/21 - 40*x**3/21 - 113*x + 3. Suppose a(q) = 0. Calculate q.
0, 20
Let g(t) be the first derivative of -t**6/12 + 3*t**5/10 - t**4/8 - t**3/2 + t**2/2 - 168. What is o in g(o) = 0?
-1, 0, 1, 2
Let w be (2 + -4)*1 + -1*2. Let j(b) = b**2 - 6*b + 9. Let h(m) = 4*m**2 - 19*m + 26. Let i(s) = w*h(s) + 11*j(s). Factor i(a).
-5*(a - 1)**2
Factor 18*u + 3692 - 3584 + 3*u - 12*u**2.
-3*(u - 4)*(4*u + 9)
Let w(f) = 2*f**3 - 12*f**2 + 4*f + 18. Let k(h) = -3*h**3 + 13*h**2 - 5*h - 21. Let i(s) = 3*k(s) + 4*w(s). Factor i(q).
-(q - 1)*(q + 1)*(q + 9)
Let o(j) be the first derivative of j**3 + 159*