t derivative of -z**5/20 + 5*z**4/2 + 21*z**3/2 + 16*z**2 + 43*z/4 - 385. Solve q(f) = 0 for f.
-1, 43
Factor 36 - 52*b - 474*b**2 + 14 + 476*b**2.
2*(b - 25)*(b - 1)
Let t be (-160)/(-12) - (-12)/(-9). Solve 3*l**4 + 213*l**3 + 221*l**3 + t*l**2 - 419*l**3 = 0.
-4, -1, 0
Let f(i) be the second derivative of 7*i - 7/2*i**2 + 1/2*i**4 + 0 + 0*i**3 + 1/15*i**5. Let w(k) be the first derivative of f(k). Factor w(y).
4*y*(y + 3)
Suppose 2*p - 7 = 3. Let b be (-12)/(-132) - (80/33 + -4). Let 4/3*j**4 + 0*j + 0 + 2/3*j**2 - b*j**3 - 1/3*j**p = 0. Calculate j.
0, 1, 2
Let g(u) = 6*u**4 + 22*u**3 + 10*u**2 - 50*u - 30. Let c(b) = 5*b**4 + 22*b**3 + 9*b**2 - 52*b - 32. Let o(i) = 7*c(i) - 6*g(i). Find l such that o(l) = 0.
-1, 2, 22
Let -20/11 + 2/11*l**3 + 6/11*l + 12/11*l**2 = 0. Calculate l.
-5, -2, 1
Suppose p = 5*l + 17, -45*p = -50*p - 3*l + 1. Let 1/5*a**p - 4/5*a + 4/5 = 0. Calculate a.
2
Let s(a) be the first derivative of 4/3*a**3 - 8*a**2 + 2*a**4 + 11 - 12*a. Suppose s(z) = 0. Calculate z.
-1, 3/2
Let r be 2/6*((-31)/(-1) - -5). Let q = -10 + r. Solve 0 - 1/5*i**q - 4/5*i = 0 for i.
-4, 0
Let q(b) be the first derivative of -b**5/15 + 7*b**4/12 - 8*b**3/9 - 8*b**2/3 + 98. Factor q(z).
-z*(z - 4)**2*(z + 1)/3
Let s = -696 - -704. Let x(i) be the second derivative of 3/5*i**5 + 0 + 2*i**3 + s*i - 3/2*i**4 - 1/10*i**6 - 3/2*i**2. Factor x(j).
-3*(j - 1)**4
Suppose 2*l - l = -288. Let s be ((-2)/(-4))/((-12)/l). Suppose s - 2 - 4*t**2 - 6 = 0. What is t?
-1, 1
Factor -4*f + 1/4*f**2 + 16.
(f - 8)**2/4
Let p(q) be the second derivative of -q**5/50 + 5*q**4/6 - 46*q**3/15 - 230*q. Factor p(z).
-2*z*(z - 23)*(z - 2)/5
Let j(s) be the first derivative of -3*s**4/5 + 64*s**3/15 - 2*s**2 + 82. Factor j(h).
-4*h*(h - 5)*(3*h - 1)/5
Determine h so that -361 - 1/4*h**2 + 19*h = 0.
38
Let w(f) be the second derivative of -f**5/20 + 5*f**4/3 - 11*f**3/2 - 27*f**2 - 14*f + 14. Determine a so that w(a) = 0.
-1, 3, 18
Suppose -5*l - 650 - 70 = 0. Let h be ((-2)/3)/(32/l). Factor 36 - 8*y**2 - 13*y**4 + 3*y**h - 10*y**3 + 17*y**4 + 48*y - 9*y**3.
4*(y - 3)**2*(y + 1)**2
Factor -2*a**2 - 8/3*a**3 + 2/3*a**4 + 28/3*a - 16/3.
2*(a - 4)*(a - 1)**2*(a + 2)/3
Let z(g) be the second derivative of -1/12*g**3 + 0*g**2 + 0 + 2*g - 1/48*g**4. Let z(t) = 0. Calculate t.
-2, 0
Suppose 0 = 2*p + 6 - 10. Suppose 5*y**p - y**2 + 2*y + 2*y**3 - 70 + 70 = 0. Calculate y.
-1, 0
Let m be (-25)/(-125) - 4/(-20). Determine x, given that -m*x**2 - 4/5*x - 2/5 = 0.
-1
Let v be (1260/(-192) + 6)*(-4)/6. Let -3/8*x + v*x**4 + 3/8*x**3 - 3/8*x**2 + 0 = 0. Calculate x.
-1, 0, 1
Let f(i) be the first derivative of 1/16*i**4 + i**2 - i - 12 - 5/12*i**3. Let f(l) = 0. What is l?
1, 2
Let n be ((72 - 3 - 2) + -3)/2. Factor 2*g**4 + 77 + 39*g + 2*g**4 - n*g**2 - 13 + 16*g**3 - 71*g - 2*g**5.
-2*(g - 2)**3*(g + 2)**2
Let a(x) be the first derivative of -x**6/12 + x**4/2 - 120. Factor a(y).
-y**3*(y - 2)*(y + 2)/2
Suppose 4 = 2*k - 2. Find j such that 10*j**3 - 5*j**2 + 0*j + 13 - 4 - 9*j**3 + k*j = 0.
-1, 3
Let s(p) be the second derivative of -p**4/12 - 15*p**3/2 - 43*p**2 - 134*p. Suppose s(l) = 0. What is l?
-43, -2
Let w(b) = 13*b**4 + 22*b**3 + 166*b**2 - 414*b + 225. Let r(y) = -15*y**4 - 21*y**3 - 166*y**2 + 413*y - 225. Let i(q) = 6*r(q) + 7*w(q). Factor i(j).
(j - 1)**2*(j + 15)**2
Let d(y) be the third derivative of y**5/15 - 16*y**4 + 1536*y**3 + 18*y**2 + 7. Determine p, given that d(p) = 0.
48
Let a be (-2)/(-8)*(97 - 87)*(-8)/(-30). Factor 2/3 - 4/3*q + a*q**2.
2*(q - 1)**2/3
Let p be (602/1032*(-10)/14)/(-5). Let w(c) be the third derivative of 14*c**2 + 5/6*c**4 - p*c**5 + 0*c - 10/3*c**3 + 0. Factor w(h).
-5*(h - 2)**2
What is u in 0 + 2/7*u**2 + 2/7*u**3 - 2/7*u**5 + 0*u - 2/7*u**4 = 0?
-1, 0, 1
Suppose -5*m + 2 = 4*a, 2 = -a - 3*m - 1. Let b(c) = -c**3 + 6*c + 9. Let d be b(a). Solve 44/3*t**3 - 70/3*t**4 + d*t + 25/3*t**5 + 0 - 8/3*t**2 = 0.
0, 2/5, 2
Let b be 3 + -1 - 3 - -3. Determine a, given that -195*a**4 + 82*a + 3*a + 335*a**3 - 285*a**b + 28*a - 20 + 7*a + 45*a**5 = 0.
2/3, 1
Let j(d) be the first derivative of -d**6/2 + 147*d**5/5 - 468*d**4 + 576*d**3 + 312. Suppose j(u) = 0. What is u?
0, 1, 24
Let z be (12 + ((-5632)/(-10))/(-11))*-35. Factor -z + 784*m + 16*m**3 - 168*m**2 - 4/7*m**4.
-4*(m - 7)**4/7
Let x(l) be the first derivative of l**4/14 - 6*l**3 + 123*l**2/7 - 122*l/7 - 281. Factor x(d).
2*(d - 61)*(d - 1)**2/7
Let z(q) be the first derivative of -1/14*q**6 + 6/35*q**5 - 6/7*q - 8/7*q**3 + 3/2*q**2 + 3/14*q**4 - 14. Factor z(f).
-3*(f - 1)**4*(f + 2)/7
Let t(w) = w**2 - w - 9. Let v be t(4). Let a be 3*v/(-18)*-6. Solve x**a - 39 - x + 39 = 0.
-1, 0, 1
Let t(y) be the third derivative of 16*y**2 + 0*y - 1/3*y**3 - 1/120*y**5 + 0 + 1/12*y**4. What is o in t(o) = 0?
2
Factor 4394 + 39/2*f**2 - 507*f - 1/4*f**3.
-(f - 26)**3/4
Let q = 730 - 2188/3. Factor q*v + 8/9 - 2/9*v**2.
-2*(v - 4)*(v + 1)/9
Let y(r) be the third derivative of -r**7/13860 - 7*r**6/3960 + 2*r**5/165 - 19*r**4/12 + 18*r**2. Let t(x) be the second derivative of y(x). Factor t(z).
-2*(z - 1)*(z + 8)/11
Let f(m) be the third derivative of -m**8/13440 + m**7/2520 - m**6/1440 + 13*m**4/24 + 9*m**2. Let r(i) be the second derivative of f(i). Factor r(j).
-j*(j - 1)**2/2
Suppose 3*w - 45 = -2*w. Suppose -5 = w*h - 41. Factor 9/2 + 8*k**3 - h*k**2 - 15/2*k.
(k + 1)*(4*k - 3)**2/2
Let z(b) be the third derivative of b**9/7560 - b**8/1680 - b**7/420 - 9*b**4/8 - 19*b**2. Let x(t) be the second derivative of z(t). Factor x(g).
2*g**2*(g - 3)*(g + 1)
Suppose -16*q - 88*q + 312 = 0. Let x(v) be the first derivative of -6*v - 2 - 9/2*v**2 - v**q. Find p, given that x(p) = 0.
-2, -1
Let v(m) be the first derivative of m**7/735 - 3*m**5/70 - m**4/21 + 4*m**3/7 + 13*m**2/2 + 16. Let u(o) be the second derivative of v(o). Factor u(p).
2*(p - 3)*(p - 1)*(p + 2)**2/7
Let q(x) = -6*x**3 + 10*x**2 - 16*x + 8. Let t(h) = h**3. Let v = -110 + 111. Let c(g) = v*q(g) + 4*t(g). Find w, given that c(w) = 0.
1, 2
Let u(o) be the second derivative of -o**4/24 - 19*o**3/6 + 20*o**2 - 459*o. Factor u(f).
-(f - 2)*(f + 40)/2
Suppose 4*q + 5*b = -9, 5*q + 3*b + 0 = 5. Let k(c) be the first derivative of -q*c**5 + 1 + 0*c**3 + 0*c + 0*c**2 + 5/6*c**6 + 5*c**4. Solve k(y) = 0 for y.
0, 2
Let o(w) be the first derivative of -7*w**6/45 - 2*w**5/15 + 8*w**4/15 - 8*w**3/45 + 192. Determine c so that o(c) = 0.
-2, 0, 2/7, 1
Suppose -f + 5*k - 2*k - 7 = 0, -4*k + 20 = 4*f. Find u such that 4*u**2 + 2*u**2 - 5*u**2 + f*u**2 = 0.
0
Let u = 2834 - 2832. Factor -3/4*a**u - 27 - 9*a.
-3*(a + 6)**2/4
Suppose 11*s - 10*s = 3. Factor -6*p**s - 31*p**5 + 2*p**3 + 35*p**5.
4*p**3*(p - 1)*(p + 1)
Let d be -11 + (-90)/54*210/(-25). Factor -2/5*a**d - 270*a + 1350 + 18*a**2.
-2*(a - 15)**3/5
Let -7/3*b**4 - 8/3*b - b**5 + 2*b**3 + 0 + 4*b**2 = 0. Calculate b.
-2, 0, 2/3, 1
Let p(q) be the second derivative of q**6/10 + 33*q**5/20 + 5*q**4/2 + 309*q. Factor p(w).
3*w**2*(w + 1)*(w + 10)
Suppose 2*g = 64 - 22. Let b = g - 16. Factor -a**4 - 4*a**4 - 9*a + b*a**3 + 5*a**2 + 0*a**2 + 4*a.
-5*a*(a - 1)**2*(a + 1)
Factor -10*v**4 + 5686 + 40*v - 5686 - 110*v**2 + 65*v**3.
-5*v*(v - 4)*(v - 2)*(2*v - 1)
Determine s, given that 8 - 6/5*s**3 - 2/5*s**4 + 78/5*s + 34/5*s**2 = 0.
-5, -1, 4
Let y = 2039/2052 - 5/108. Let q = y - 17/38. Factor 1/2*j**3 - q*j - 1/4*j**4 + 1/4 + 0*j**2.
-(j - 1)**3*(j + 1)/4
Suppose 0 = -18*k + 104*k - 258. Let -66/19*i**5 + 0 + 2/19*i**2 - 82/19*i**k + 142/19*i**4 + 4/19*i = 0. What is i?
-2/11, 0, 1/3, 1
Suppose -5*d - 18*v + 11 = -15*v, 3*d = -5*v - 3. Let p(k) be the first derivative of -4 + 2*k**2 - 4/5*k**5 + 0*k - k**d + 4/3*k**3. Solve p(o) = 0.
-1, 0, 1
Let a(p) = 3*p**2 + 143*p - 1396. Let b be a(-56). Let 4/3*z**2 + 8/3 + b*z = 0. Calculate z.
-2, -1
Suppose 0 = -4*v + 11*v - 28. Determine g so that -v + 6*g**4 + 8*g + 9 - 6*g**2 + 2*g**5 - 10*g**3 - 5 = 0.
-4, -1, 0, 1
Let t be (30/12)/(1/2). Let j = 8 - t. Factor 6*q**2 + 9*q + 1 + j - 4 + 3.
3*(q + 1)*(2*q + 1)
Let f(r) be the second derivative of r**4/48 + 2*r**3/3 + 8*r**2 - 24*r. Factor f(a).
(a + 8)**2/4
Let m = 1320 + -1320. Factor -45/4*k**3 + m - 5/2*k + 35/4*k**2 + 25/4*k**4 - 5/4*k**5.
-5*k*(k - 2)*(k - 1)**3/4
Let k(i) be the second derivativ