derivative of u(t). Solve i(a) = 0.
-3/4, 0
Let q(u) = -9*u**2 - 203*u + 172. Let p(o) = 15*o**2 + 305*o - 256. Let y(g) = 5*p(g) + 8*q(g). Factor y(i).
3*(i - 32)*(i - 1)
Let w(a) be the first derivative of -45*a**4/4 - 20*a**3 - 10*a**2 - 951. Find c, given that w(c) = 0.
-2/3, 0
Let q(s) be the third derivative of s**8/448 + s**7/140 - s**6/160 - s**5/40 + 47*s**2. Suppose q(x) = 0. Calculate x.
-2, -1, 0, 1
Factor 2 - 3*b**4 + 148*b**3 - 142*b**3 - 2.
-3*b**3*(b - 2)
Let q(p) = 4*p**2 - p - 1. Let u(m) = 28*m**2 - 94*m + 78. Let f(c) = -6*q(c) + u(c). Factor f(l).
4*(l - 21)*(l - 1)
Let x(z) be the first derivative of 7/10*z**5 + 0*z + 0*z**2 + 0*z**3 - 16 - 1/4*z**4. Factor x(s).
s**3*(7*s - 2)/2
Let h(r) be the second derivative of r**6/120 + r**5/80 - 5*r**4/24 + r**3/3 - 5*r + 2. Solve h(s) = 0 for s.
-4, 0, 1, 2
Let a(t) be the first derivative of -t**3/6 + 11*t**2/4 + 13. Factor a(m).
-m*(m - 11)/2
Let m(q) be the third derivative of -q**5/330 - q**4/2 - 33*q**3 - 155*q**2. Let m(h) = 0. Calculate h.
-33
Let w(x) be the first derivative of -2*x**3/21 + 10*x**2 - 350*x - 501. Factor w(i).
-2*(i - 35)**2/7
Let j = -1002/5 - -3026/15. Solve -j - v**2 + 13/3*v = 0.
1/3, 4
Let v = -384 + 384. Let t(n) be the second derivative of 0 - 1/60*n**6 - 1/6*n**4 + 0*n**3 + v*n**2 - 1/10*n**5 - 5*n. Let t(b) = 0. Calculate b.
-2, 0
Let l(x) be the first derivative of 3*x**5/5 - 129*x**4/2 + 1761*x**3 + 5676*x**2 + 5808*x - 211. Find d such that l(d) = 0.
-1, 44
Let w(j) = j - 2. Let n(h) = h**2 + 9*h + 11. Let r be n(-9). Let b be w(r). Factor -64*t + 16 + b*t + 7*t + 20*t**2.
4*(t - 2)*(5*t - 2)
Let l(a) be the first derivative of -a**6/7 + 4*a**5/35 + 3*a**4/14 - 4*a**3/21 + 82. Solve l(v) = 0.
-1, 0, 2/3, 1
Let a(w) be the first derivative of -1/11*w + 2/33*w**3 + 0*w**4 - 1/55*w**5 - 20 + 0*w**2. Factor a(v).
-(v - 1)**2*(v + 1)**2/11
Let j(x) be the first derivative of -28*x**5/25 - 67*x**4/10 + 34*x**3/15 + 2*x**2 - 5. Find k such that j(k) = 0.
-5, -2/7, 0, 1/2
Let c = 53 - 32. What is z in -15*z - 13*z - 12*z - 32 + 33*z**2 - c*z**2 = 0?
-2/3, 4
Let m(n) be the second derivative of n**6/45 - 2*n**5/3 - 43*n**4/18 - 22*n**3/9 + 100*n. Solve m(f) = 0 for f.
-1, 0, 22
Let b(n) = -4*n - 172. Let d be b(-43). Let r(i) be the second derivative of -3*i - 1/28*i**4 + 0*i**2 - 1/7*i**3 + 3/140*i**5 + d. Factor r(h).
3*h*(h - 2)*(h + 1)/7
Suppose -1/9*p**2 + 1 - 8/9*p = 0. Calculate p.
-9, 1
Let v(f) be the first derivative of -4*f**3/15 - 38*f**2/5 - 72*f/5 - 422. Factor v(w).
-4*(w + 1)*(w + 18)/5
Let r = 44 - 40. Suppose 0 = -r*l + 8*l. What is z in -14/5*z**2 + 18/5*z**3 + 4/5*z + 2/5*z**5 - 2*z**4 + l = 0?
0, 1, 2
Let r(k) be the third derivative of k**7/210 - 17*k**6/96 + 7*k**5/80 - 2*k**2 - 118. Find m, given that r(m) = 0.
0, 1/4, 21
Let d(o) be the first derivative of -1/14*o**4 + 2/21*o**3 - 1 - 8/7*o + 4/7*o**2. Factor d(i).
-2*(i - 2)*(i - 1)*(i + 2)/7
Let b(x) = x**5 - 2*x**4 - x - 1. Let o(f) = 35*f**5 - 10*f**4 - 10*f**3 - 100*f**2 - 25*f + 20. Let i(h) = 30*b(h) - o(h). Determine z so that i(z) = 0.
-10, -1, 1
Let a be 3 - (-1 + (-12 - 1440/(-99))). Factor 2/11*q**2 + 32/11 - a*q.
2*(q - 4)**2/11
Let s = -2 - -4. Solve -4*v**s + 9*v**2 - 2*v**4 - 3*v**4 = 0.
-1, 0, 1
Let h = -1160 + 1163. Factor -4/7 + 6/7*j**h + 2/7*j**2 - 6/7*j + 2/7*j**4.
2*(j - 1)*(j + 1)**2*(j + 2)/7
Solve 72*m**2 + 32 - 247*m**4 + 24*m**4 - 340*m**3 - 99*m**4 + 22*m**4 + 144*m = 0 for m.
-1, -2/5, 2/3
Let c(a) be the first derivative of a**4/2 - 94*a**3 + 798. Factor c(f).
2*f**2*(f - 141)
Let p be (3/1 - 1) + (-1368)/685. Let l = p + 1344/8905. Let 2/13*k**2 + l*k**3 + 0 - 4/13*k = 0. Calculate k.
-2, 0, 1
Let s(u) be the second derivative of u**6/5 - 123*u**5/140 - 9*u**4/2 - 13*u**3/2 - 30*u**2/7 + 76*u. Let s(l) = 0. What is l?
-1, -4/7, -1/2, 5
Let h be 6/15 + 9/(270/(-12)). Let m(y) be the second derivative of 0*y**3 - 6*y - 1/15*y**6 + 0*y**2 + h + 0*y**4 + 1/14*y**7 - 1/20*y**5. Factor m(o).
o**3*(o - 1)*(3*o + 1)
Let m = 1644 + -1642. Let l(g) be the third derivative of 0 - 5*g**2 + 1/20*g**5 + 0*g + 1/2*g**4 + m*g**3. Find z such that l(z) = 0.
-2
Let v = 8 - 14. Let x be 3 + -6 - v - 0. Find d such that 8*d**x - 3*d - 4*d**2 - 7*d**3 + 4*d**2 + 2 = 0.
-2, 1
Let q = 506 - 504. Let k(j) be the third derivative of 9/8*j**4 + 0 + 9/2*j**3 + 0*j + 3/20*j**5 - 3*j**q + 1/120*j**6. Factor k(p).
(p + 3)**3
Let q be 2/3 - ((-4)/(-5) - 684/1080). Factor -1/2 + 1/2*z**3 - 1/2*z + q*z**2.
(z - 1)*(z + 1)**2/2
Let m(b) be the second derivative of b**5/120 - 5*b**4/72 + b**3/12 + 3*b**2/4 + 2*b - 53. Factor m(p).
(p - 3)**2*(p + 1)/6
Let t(x) = -x**3 - 5*x**2. Let b(k) = 160*k**2 - 1500*k + 4500. Let p(y) = -b(y) - 4*t(y). Suppose p(v) = 0. What is v?
5, 15
Factor 8*p**2 - 8*p**4 + 85 - 16*p**3 + 12*p - 85 + 4*p**5.
4*p*(p - 3)*(p - 1)*(p + 1)**2
Let p(s) = -s**4 - 2*s**3 - 4*s**2 - 1. Let n(a) = -a**2 + 2 - a**3 - 2 + 11*a**4 - 1 - 12*a**4. Let q(y) = 4*n(y) - 2*p(y). Factor q(k).
-2*(k - 1)**2*(k + 1)**2
Let f = 309 + -265. Let z = -44 + f. Let 2/5*a**2 + z - 2/5*a**3 + 0*a = 0. Calculate a.
0, 1
Let x(l) be the first derivative of -15*l**4/14 + 41*l**3/21 - 6*l**2/7 + l/7 - 193. Suppose x(s) = 0. What is s?
1/6, 1/5, 1
Suppose 17 = 12*r + 5. Let h(j) be the first derivative of 4/3*j**3 - 4*j + 1/2*j**4 - j**2 - r. Solve h(q) = 0 for q.
-2, -1, 1
Let t(p) = -12*p**3 + 3*p**2 + 2*p - 1. Let u be t(-2). Let w = 103 - u. Find r, given that -r**4 + 2/7*r**2 + w + 0*r - 5/7*r**3 = 0.
-1, 0, 2/7
Let h(x) be the second derivative of x**8/20160 - x**7/7560 - x**6/270 + x**5/30 + 7*x**4/12 + 26*x. Let z(n) be the third derivative of h(n). Factor z(i).
(i - 2)**2*(i + 3)/3
Let v be 33/30*1 - 34/(-85). Let x(s) be the second derivative of 0 - 2*s**2 - 2*s - 7/3*s**3 + v*s**4. Factor x(k).
2*(k - 1)*(9*k + 2)
Factor 1/8*q**2 - 2 + 3/4*q.
(q - 2)*(q + 8)/8
Let k(i) be the first derivative of -i**7/1680 - i**6/120 - 11*i**5/240 - i**4/8 + 29*i**3/3 + 26. Let x(u) be the third derivative of k(u). Factor x(o).
-(o + 1)*(o + 2)*(o + 3)/2
Suppose 5*q - 472 = -447. Let c(v) be the third derivative of 0 + 0*v + 1/270*v**q + 2/27*v**4 + 6*v**2 + 16/27*v**3. Factor c(g).
2*(g + 4)**2/9
Let q = 1292 - 1288. Let b(x) be the first derivative of 1/15*x**5 + 0*x**2 - 1/18*x**6 + 10 + 0*x**q + 0*x + 0*x**3. Factor b(n).
-n**4*(n - 1)/3
Let k = 41 - 137/4. Factor 0 - 9/2*x**2 + k*x**3 + 3/4*x.
3*x*(3*x - 1)**2/4
Let n(f) be the second derivative of f**5/130 - 5*f**4/39 + 25*f**3/39 + 88*f. Suppose n(j) = 0. Calculate j.
0, 5
Let z(m) = -m**2 + 1. Let n(g) be the first derivative of 5*g**2/2 + 25*g - 13. Let b(c) = -n(c) - 5*z(c). Factor b(a).
5*(a - 3)*(a + 2)
Let z(c) be the first derivative of 15*c**4 - 5*c**3/3 - 175. Find d, given that z(d) = 0.
0, 1/12
Let l = 2/375 - -10121/750. Let i(s) be the first derivative of -12*s**3 - 6*s + 1 + 15/4*s**4 + l*s**2. Factor i(b).
3*(b - 1)**2*(5*b - 2)
Suppose -31*f + 64*f = -62*f + 190. Find b, given that 2/11*b**3 + 6/11*b**f - 6/11 - 2/11*b = 0.
-3, -1, 1
Let v be (7 - 1) + 1 + -12 + (-171)/(-27). Determine y so that 0 + 4/3*y**3 - v*y**2 + 0*y = 0.
0, 1
Suppose -18*t + 5*k + 10 = -14*t, 3*t - 5*k - 5 = 0. Let s(u) be the first derivative of 4/5*u**2 - t + 8/5*u + 2/15*u**3. Factor s(x).
2*(x + 2)**2/5
Let a(z) be the first derivative of -5*z**2 + z**5 + 18 - 20/3*z**3 + 15*z + 5/2*z**4. Factor a(m).
5*(m - 1)**2*(m + 1)*(m + 3)
Let h(i) = -11*i + 5. Let c be h(-5). Suppose 0*s - c = -5*s. Suppose -6*y - 3*y**4 - 5 - 12*y**3 - 15*y**2 - 7 + s = 0. What is y?
-2, -1, 0
Let z(q) = q**2 + 6*q + 3. Let m be z(-6). Factor -266 + 5*i**2 + 266 - 5*i**m.
-5*i**2*(i - 1)
Let y(h) be the second derivative of h**6/3 - 3*h**5/4 - 5*h**4/12 + 5*h**3/2 - 5*h**2/2 + 3*h - 16. Factor y(o).
5*(o - 1)**2*(o + 1)*(2*o - 1)
Let r(l) be the second derivative of l**6/90 - l**5/6 + 11*l**4/12 - 22*l**3/9 + 10*l**2/3 - 484*l. Factor r(g).
(g - 5)*(g - 2)**2*(g - 1)/3
Let z be (-2*(-4)/2712)/(7/(-1314)). Let x = 2/113 - z. Factor 8/7*l**4 - 8/7*l**2 - 4/7*l**5 + 0*l**3 + x*l + 0.
-4*l*(l - 1)**3*(l + 1)/7
Let i = 280 - 277. Solve 0 + 12/5*g + 0*g**2 - 9/5*g**i - 3/5*g**4 = 0 for g.
-2, 0, 1
Suppose 0 = 3*p + 5*w - 10 - 17, -19 = -4*p - w. Let r(g) be the second de