hat d(z) = 0.
-4
Let b = 61 + -73. Let i be b/24*(-8)/22. Factor i + 4/11*u**2 - 6/11*u**4 + 2/11*u**5 - 6/11*u + 4/11*u**3.
2*(u - 1)**4*(u + 1)/11
Let d = 24561 + -170973/7. Let m = d + -136. Factor 6/7*k**2 + 0 - 6/7*k**3 - m*k + 2/7*k**4.
2*k*(k - 1)**3/7
Let a be 75/10*(-4)/(-6). Solve -6*p**2 + 13*p**3 - 5*p**5 + 4*p**3 + 2*p**5 - a*p**3 + 6 - 9*p = 0 for p.
-2, -1, 1
Suppose 0 = -77*r + 131*r - 162. Factor -13/2*z**2 + r*z**3 - 2 + 6*z - 1/2*z**4.
-(z - 2)**2*(z - 1)**2/2
Let q = -88 + 90. Let 3*o**q - 9*o + 9 - 17 + 5 + 9 = 0. Calculate o.
1, 2
Suppose -r = w - 3 + 5, -5*r - w + 10 = 0. Let j(b) = -b**2 - 13*b - 34. Let f be j(-9). Factor 4/3*i**r + 0*i + 2*i**f - 2/3.
2*(i + 1)**2*(2*i - 1)/3
Determine v so that 4107/7 - 222/7*v + 3/7*v**2 = 0.
37
Factor -781*j + 280*j - 59536 - 4*j**2 - 475*j.
-4*(j + 122)**2
Let t(f) = f**3 - 2*f**2 + 1. Let j(u) = 18*u**3 + 200*u**2 + 524*u - 142. Let y(r) = j(r) - 2*t(r). Factor y(z).
4*(z + 4)*(z + 9)*(4*z - 1)
Factor 1/6*b**3 + 7/3 - b**2 - 3/2*b.
(b - 7)*(b - 1)*(b + 2)/6
Let l(z) be the first derivative of -z**6/2 + 9*z**4/2 + 8*z**3 + 9*z**2/2 - 592. Solve l(j) = 0.
-1, 0, 3
Let z be 21/(-28) + 3 + 13/(-52). Factor -2/13*a - 4/13 + 2/13*a**z.
2*(a - 2)*(a + 1)/13
Suppose -3*s = -2*s. Let u(q) = -q**3 + 37*q**2 - 164*q + 132. Let j be u(32). Factor 0*w**3 + 1/8*w**2 + s*w - 1/8*w**j + 0.
-w**2*(w - 1)*(w + 1)/8
Suppose 3*s + 11 = -4*o, 2 = -5*o - 23. Determine a so that 16 - 4*a**s + 0*a**3 - 12*a**2 + a - a = 0.
-2, 1
Factor 187*t**2 - 5*t**3 + 1911 + 14899 - 9225*t + 233*t**2.
-5*(t - 41)**2*(t - 2)
Let o(y) be the first derivative of -2/9*y**2 + 2/27*y**3 + 24 + 0*y. Determine g, given that o(g) = 0.
0, 2
Let p be (-8)/((84/189)/((-3)/18)). Factor -2/9*m**p - 4/9*m**2 - 2/9*m + 0.
-2*m*(m + 1)**2/9
Let x = 9883/7665 + -4/1095. Factor -3/7*z**2 - x*z - 6/7.
-3*(z + 1)*(z + 2)/7
Let x be 18/12 - 2*10/(-8). Solve x + 2*t + 22*t**4 - 3 - 5 + 2 - 6*t**5 + 12*t**2 - 28*t**3 = 0 for t.
-1/3, 1
Let c(w) be the first derivative of -15/4*w**4 + 6 + 6*w**2 - 12*w + 5*w**3 + 1/2*w**6 - 3/5*w**5. Let c(m) = 0. Calculate m.
-2, -1, 1, 2
Let j(a) = -a**3 + 8*a**2 + 2*a - 9. Let t be j(8). Let l = t - 5. Suppose -8/13*v**l - 2/13*v**5 + 0 + 0*v + 6/13*v**4 + 0*v**3 = 0. What is v?
-1, 0, 2
Find w such that -16/5*w - 3 + 29/5*w**2 + 2/5*w**3 = 0.
-15, -1/2, 1
Factor -8/3*t + 6*t**4 + 0 + 2*t**3 - 16/3*t**2.
2*t*(t - 1)*(3*t + 2)**2/3
Suppose 0 = -533*h + 455*h. Factor h - 3/5*o**2 - 6/5*o.
-3*o*(o + 2)/5
Let h(a) be the second derivative of -a**4/42 + 25*a**3/21 + 9*a + 1. Determine g so that h(g) = 0.
0, 25
Let s(a) = 16*a**3 - 42*a**2 - 174*a + 1568. Let v(r) = 13*r**3 - 43*r**2 - 173*r + 1568. Let p(l) = -5*s(l) + 6*v(l). Suppose p(n) = 0. What is n?
-14, 4
Factor -45*d - 632 - 2*d**2 + 212 - 55*d - 3*d**2 - 25*d.
-5*(d + 4)*(d + 21)
Find c, given that -345 - 1242 - 649*c - 3*c**2 + 511*c = 0.
-23
Suppose 4*n = 3*n - 1. Let z be (1 - n - 2) + 3. Factor 7*q**z - 3*q**4 + 4*q**4 - 2*q**4 - 6*q**3.
-q**3*(q - 1)
Let w(b) be the second derivative of -b**8/2016 - b**7/315 - b**6/144 - b**5/180 + 4*b**2 + 11*b. Let x(k) be the first derivative of w(k). Factor x(r).
-r**2*(r + 1)**2*(r + 2)/6
Let y(j) be the second derivative of j**6/300 - j**5/150 - 7*j**2/2 - 17*j. Let w(g) be the first derivative of y(g). Factor w(a).
2*a**2*(a - 1)/5
Let b = -9867/329 + -1632/47. Let d = 65 + b. Factor 0 + 8/7*f - 6/7*f**3 + d*f**5 - 8/7*f**2 + 4/7*f**4.
2*f*(f - 1)**2*(f + 2)**2/7
Let a be 2 + 0/(-10) + 6. Let q(f) be the first derivative of 1/6*f**4 + 0*f + 8/9*f**3 + a + 4/3*f**2. Factor q(j).
2*j*(j + 2)**2/3
Let d(x) = 3*x**3 - 12*x**2 - x + 7. Let f be (-1 + 5)*(-9)/12. Let m = f - -10. Let h(s) = s**3 - 6*s**2 - s + 3. Let y(j) = m*h(j) - 3*d(j). Factor y(z).
-2*z*(z + 1)*(z + 2)
Suppose 34*b**3 - 44 + 56*b + 4*b**4 + 72*b**2 - 6*b + 14*b - 2*b**3 + 64 = 0. What is b?
-5, -1
Let j = -29/6 - -89/18. Let f(l) be the second derivative of -6*l**2 - j*l**4 + 0 - 3*l + 4/3*l**3. Factor f(i).
-4*(i - 3)**2/3
Factor 3*l**2 + 176 - 5*l**2 + 2*l**2 + 96*l + 5*l**2 - l**2.
4*(l + 2)*(l + 22)
Let t(a) be the second derivative of -a**7/210 + a**6/25 - 3*a**5/25 + a**4/6 - a**3/10 - 289*a. Solve t(u) = 0 for u.
0, 1, 3
Factor -14/5*i**2 - 2/5*i**3 - 22/5*i - 2.
-2*(i + 1)**2*(i + 5)/5
Let d(i) be the third derivative of i**8/5040 - i**7/630 + i**5/2 - i**2 + 20*i. Let v(w) be the third derivative of d(w). Factor v(b).
4*b*(b - 2)
Let g(n) = -10*n**3 - 21*n**2 + 10*n + 21. Suppose -t = -c - 23, -t + 2 = t. Let q(r) = 2*r**3 + 4*r**2 - 2*r - 4. Let a(f) = c*q(f) - 4*g(f). Factor a(i).
-4*(i - 1)*(i + 1)**2
Suppose -3*x = 5*t - 81, 0*t + 75 = 4*t - x. Suppose f - 5*j = 26, f - t = -3*j + 6*j. Determine n so that -2*n**2 + 3*n - f*n - 4*n**2 = 0.
-1/2, 0
Factor -9/4 - 5/2*s**3 + 5/2*s + 2*s**2 + 1/4*s**4.
(s - 9)*(s - 1)**2*(s + 1)/4
Solve 1152 - 98*z + 1486*z + 260*z**3 - 1420*z**2 - 14*z**4 - 34*z**2 + 628*z = 0 for z.
-3/7, 3, 8
Suppose 2*g - 7*g = -5*w - 180, 110 = 3*g - 5*w. Let v be ((-168)/g)/(-8) + (-1)/(-1). Factor 28/5*z**2 + v*z + 0 + 12/5*z**3.
4*z*(z + 2)*(3*z + 1)/5
Suppose -9 = -4*r + d, 4*d + 2 = 2*d. Let x be r - (2 - 0 - 2). Factor -53*m + 53*m + x*m**5 - 2*m**3.
2*m**3*(m - 1)*(m + 1)
Factor -51*q + 82121*q**2 - 4*q**3 - 221*q - 81845*q**2.
-4*q*(q - 68)*(q - 1)
Let n = 67 - -72. Let a = n - 415/3. Factor -1/3*x + 1/3*x**3 - 2/3 + a*x**2.
(x - 1)*(x + 1)*(x + 2)/3
Let j(l) be the first derivative of -l**5/150 - 7*l**4/30 - 49*l**3/15 + 9*l**2 + 25. Let q(v) be the second derivative of j(v). Factor q(i).
-2*(i + 7)**2/5
Let d(x) be the second derivative of x**4/12 + 7*x**3/3 - 15*x**2/2 - 16*x - 2. Let d(q) = 0. What is q?
-15, 1
Suppose 0 = -6*k + 12*k + 3*k. Determine b so that -2/7*b + 2/7*b**2 + k = 0.
0, 1
Suppose 6 = q + 4*n, -7*n = 3*q - 2*n - 32. Let k = 24 - q. Determine z, given that -4*z - 14*z**4 - 4*z + 12*z**2 + k*z**4 = 0.
-2, 0, 1
Suppose 5*r = -15, 8*n - 46 = 6*n + 4*r. Suppose a - n = -5*w - 3, -3*a + 5*w = -2. Factor -1/3*x + 2/3*x**3 - 1/3*x**5 + 1/3*x**a + 1/3 - 2/3*x**2.
-(x - 1)**3*(x + 1)**2/3
Let y(z) = -6*z**3 + 6*z**2. Let r(g) = -g**3 + g. Let o(u) = -5*r(u) + y(u). Suppose o(l) = 0. What is l?
0, 1, 5
Let c(k) be the first derivative of -3*k**4/28 + 17*k**3/7 - 27*k**2/2 - 243*k/7 - 29. Factor c(p).
-3*(p - 9)**2*(p + 1)/7
Factor -3*m**3 + 4*m**4 + 2*m**3 - 5*m**4 + 9*m**2 + 28*m + 15*m**2 + 4*m**3.
-m*(m - 7)*(m + 2)**2
Let f = -15455 - -139097/9. Factor 8/9*h**4 + 10/9*h**3 + f*h**2 + 0 + 0*h.
2*h**2*(h + 1)*(4*h + 1)/9
Let y(x) be the third derivative of -1/2*x**5 + 0*x - 25/4*x**4 - 1/60*x**6 + 0 - 125/3*x**3 - 4*x**2. Factor y(h).
-2*(h + 5)**3
Let s = 1734277/5514900 - -2/44475. Let z = s + -2/31. Factor -1/4*k**4 + 0 + 0*k + 0*k**2 + z*k**5 + 0*k**3.
k**4*(k - 1)/4
Let g be (-8)/(-18) + (12 - ((-490)/(-90) - -7)). Factor 1/5*c**4 + 0*c + 1/5*c**2 + 2/5*c**3 + g.
c**2*(c + 1)**2/5
Let h be (-3 - (-42)/18)/2*-1. Let b(g) be the first derivative of 0*g**4 + 0*g + 5 - 1/15*g**5 + h*g**3 - 1/3*g**2. Determine l, given that b(l) = 0.
-2, 0, 1
Let l(w) be the first derivative of 7 - 6*w - 10/3*w**3 - 8*w**2. Let f(u) = u**2 - 1. Let o(m) = 10*f(m) - l(m). Factor o(q).
4*(q + 1)*(5*q - 1)
Let r(c) be the first derivative of 2*c**3 + 15*c**2/4 - 9*c - 257. Determine l, given that r(l) = 0.
-2, 3/4
Suppose 60 + 32 = 46*y. Let h(d) be the second derivative of 0 - 1/2*d**3 - 1/4*d**4 + 0*d**2 + y*d. Factor h(s).
-3*s*(s + 1)
Let o(t) be the third derivative of 1/150*t**5 + 56*t**2 + 169/15*t**3 - 13/30*t**4 + 0 + 0*t. Factor o(z).
2*(z - 13)**2/5
Factor -429*r**2 - 72*r**3 + 212 - 55726*r**4 + 55723*r**4 + 72*r + 220.
-3*(r - 1)*(r + 1)*(r + 12)**2
Factor -15552*g - 103*g**2 - 4*g**3 + 12869 + 28403 + 145352 + 535*g**2.
-4*(g - 36)**3
Let j be 1 - (1 + (3 - 5)). Factor b**3 + 4*b**2 + b**3 - 12*b**j + 8*b + 0*b**3.
2*b*(b - 2)**2
Let x(m) be the first derivative of 1/4*m**4 - 8/3*m + 3/5*m**5 - 16 - 26/9*m**3 - 14/3*m**2. Let x(v) = 0. Calculate v.
-1, -2/3, 2
Suppose 5/2*k**5 - 5*k**3 - 10*k**4 + 30*k**2 + 0 + 45/2*k = 0. Calculate k.
-1, 0, 3
Factor -5*j**2 - 61 - 50 - 2*j**3 + 2*j**3 + 120 + j**3 + 3*j.
(j - 3)**2*(j + 1)
Let x(u) be the second derivative of 7*u**4/30 - 103*u**3/15 - 6