= -o + 102, -5 + 1 = 2*q. Determine c so that -o - c**2 - 24*c + 8*c + 112 - 82 = 0.
-8
Let p(g) = 3 - g + g**3 + 0*g - 4*g**2 + 0*g + 4*g. Let i be p(3). Let -14*t**i + 3*t**3 + 3*t**2 + 14*t**3 - 6*t = 0. What is t?
-2, 0, 1
Let m(o) = -7*o**2 - 7*o - 6. Let d(z) = 15*z**2 - 20 - 15*z + 33 + 29*z. Let u(r) = 4*d(r) + 9*m(r). Factor u(h).
-(h + 2)*(3*h + 1)
Let l(k) be the first derivative of 50/39*k**3 + 3/13*k**2 + 0*k + 32/65*k**5 + 28/13*k**4 - 60. Determine v so that l(v) = 0.
-3, -1/4, 0
Let l = -12737 + 12742. Let i(n) be the third derivative of -32/3*n**3 - 31*n**2 + 0*n - 7/30*n**7 + 91/30*n**6 + 0 - 47/5*n**l - 52/3*n**4. Factor i(o).
-(o - 4)**2*(7*o + 2)**2
Let z(r) be the second derivative of 961*r**5/25 - 3224*r**4/5 + 414*r**3/5 - 4*r**2 + 4055*r. Let z(p) = 0. Calculate p.
1/31, 10
Factor -584 + 288 + 3*w**3 - 274 - 276*w**2 - 849*w.
3*(w - 95)*(w + 1)*(w + 2)
Let i(n) be the first derivative of 7*n**4/22 - 9*n**3/11 + 6*n**2/11 + n/11 + 1238. Solve i(z) = 0 for z.
-1/14, 1
Let l be 42 - (4134/104 + 2). Factor l*j**2 + 31/2*j + 961/4.
(j + 31)**2/4
Let v(n) be the first derivative of -7*n**6/10 + 3*n**5/10 + 7*n**4/4 - n**3 + 22*n + 49. Let i(x) be the first derivative of v(x). Factor i(p).
-3*p*(p - 1)*(p + 1)*(7*p - 2)
Suppose -175*n = -14*n - 322. Let -4 + 7/4*c**n - 2*c - 1/4*c**3 = 0. What is c?
-1, 4
Suppose c - 2*u + 7 = 5, 0 = -2*c - u + 1. Let b(j) be the second derivative of c + 1/4*j**5 - 9*j + 5/4*j**4 - 10*j**2 + 0*j**3. Factor b(l).
5*(l - 1)*(l + 2)**2
Let w(x) be the third derivative of x**7/105 - 11*x**6/6 + 568*x**5/5 - 3315*x**4/2 - 7803*x**3 - 2*x**2 - x - 618. Solve w(b) = 0.
-1, 9, 51
Let y(f) be the third derivative of f**6/60 + f**5/15 - 7*f**4/12 + 4*f**3/3 - 370*f**2. Suppose y(q) = 0. Calculate q.
-4, 1
Factor 0 + 2/7*h**4 + 4/7*h - 10/7*h**2 - 2/7*h**5 + 6/7*h**3.
-2*h*(h - 1)**3*(h + 2)/7
Let o = -6375 + 133883/21. Let s(x) be the second derivative of 4*x - 13/21*x**4 - o*x**3 + 0 + 0*x**2 - 3/35*x**5. Let s(z) = 0. What is z?
-4, -1/3, 0
Suppose 5*g + 3*p = 0, -11*p + 26 = -2*g - 7*p. Let l be ((-63)/(-42))/(g/(-10)). Factor -2/5*f**l - 18/5*f**3 - 14/5*f**2 + 0 - 2*f**4 - 4/5*f.
-2*f*(f + 1)**3*(f + 2)/5
Let u = -29/25489 - -357223/331357. Factor -12/13*x**4 + 0*x**2 + 0 + 2/13*x**5 - u*x**3 + 0*x.
2*x**3*(x - 7)*(x + 1)/13
Let o be (3 - 92/(-220)) + (1 - (-3)/(-5)). Find c, given that -226/11*c**2 - 226/11*c**3 - 36/11 - o*c**4 + 210/11*c = 0.
-3, 2/7, 1/3
Factor 663/4*k**2 + 3/4*k**3 - 36963/4 + 36297/4*k.
3*(k - 1)*(k + 111)**2/4
Let z(q) be the first derivative of 2*q**5 - 289*q**4/2 + 434*q**3/3 + 625*q**2 + 228*q - 4851. Determine b so that z(b) = 0.
-1, -1/5, 2, 57
Suppose 0 = -4*l + 9*r + 111, -3*l - 2*r + 0 = 13. Factor 13/2*m**2 - 7/2*m - 5/2*m**l - 1/2*m**4 + 0.
-m*(m - 1)**2*(m + 7)/2
Let w(p) be the second derivative of p**6/90 - p**5/5 - 7*p**4/18 + 2*p**3/3 + 13*p**2/6 + 371*p. Find g, given that w(g) = 0.
-1, 1, 13
Let k(z) be the second derivative of -z**6/540 - 11*z**5/270 - 13*z**4/36 - 5*z**3/3 + 93*z**2 + z - 5. Let x(h) be the first derivative of k(h). Factor x(m).
-2*(m + 3)**2*(m + 5)/9
Let a(z) be the third derivative of -z**6/24 + 17*z**5/3 + 355*z**4/24 - 115*z**3 + 2*z**2 + 9. Let a(v) = 0. Calculate v.
-2, 1, 69
Let x(r) be the third derivative of 3*r**6/80 - 13*r**5/5 - 37*r**4/4 + 36*r**3 - 327*r**2. Factor x(m).
3*(m - 36)*(m + 2)*(3*m - 2)/2
Let h be -6 - ((-12741)/(-54) + (-3)/27). Let z = h - -242. Solve 1/6*w**3 - z*w**2 - 1/6*w + 1/6 = 0 for w.
-1, 1
Let a(z) be the second derivative of 0 + 0*z**2 - 1/12*z**6 - 25/24*z**4 - 57*z + 1/2*z**5 + 5/6*z**3. Suppose a(p) = 0. Calculate p.
0, 1, 2
Let y be -1*(-10 + (-4 - -4)). Suppose t = -3*r + y, -2*r = -3*r - 5*t + 22. Factor -o + 2*o + 20 - 26 + 9*o**2 + r*o.
3*(o + 1)*(3*o - 2)
Let f be (-2)/5 + 69/(-115). Let j be f*((-3)/6)/((-2)/(-8)). Factor 8*k - j*k**4 + 4 - 4*k**3 + 6*k**2 + 0*k - 12.
-2*(k - 1)**2*(k + 2)**2
Let o = 929011 - 929009. Let -1/2*x**3 + 11/2*x - 6 + x**o = 0. What is x?
-3, 1, 4
Let i = -108 + 110. Factor -685*n**2 + 685*n**i - n**5 - 2*n**5.
-3*n**5
Let s(a) be the third derivative of -a**8/1512 - 11*a**7/945 - 19*a**6/270 - 26*a**5/135 - 2*a**4/9 + 1797*a**2. Determine m so that s(m) = 0.
-6, -2, -1, 0
Let c(w) = 7*w**2 + 170*w + 48. Let r be c(-24). Let m(u) be the first derivative of 0*u + 8 + r*u**2 + 2*u**4 + 0*u**3 - 4/5*u**5. Factor m(f).
-4*f**3*(f - 2)
Let n = 65 - 454/7. Let p(r) be the third derivative of -1/84*r**6 + 0 + 0*r + 3/35*r**5 + 8*r**2 - n*r**4 - 8/21*r**3. Solve p(g) = 0 for g.
-2/5, 2
Let h = -855614 + 855617. Let 12/7*y**h + 4/7*y**4 - 100/7*y**2 + 12*y + 0 = 0. Calculate y.
-7, 0, 1, 3
Let x(a) be the first derivative of 2*a**3/3 - 3*a**2 + 4*a - 1684. Factor x(h).
2*(h - 2)*(h - 1)
Factor -781*b**2 - 2*b**4 + 435*b**2 + 172*b + 148*b**3 + 28*b**3.
-2*b*(b - 86)*(b - 1)**2
Find r such that 88*r**2 + 48 - 36*r**3 + 20*r**2 - 150*r**4 - 124*r + 154*r**4 = 0.
1, 3, 4
Suppose -109*n + 112*n = 15. Factor n*h - 48 + 4*h + h**2 + 7*h + 3*h**2.
4*(h - 2)*(h + 6)
Let u be (-21990)/(-4140) - 10/(-460). Let 5/3 + 1/3*d**4 + 8/3*d**3 + 6*d**2 + u*d = 0. What is d?
-5, -1
Suppose 98 - 104 = 14*m - 62. Let a(u) be the first derivative of 1/4*u**m + 27 - 1/2*u**2 + 2/3*u**3 - 3/2*u - 1/10*u**5. Factor a(f).
-(f - 3)*(f - 1)*(f + 1)**2/2
Let l be (-46)/42*(270/(-45) + -6). Solve 96/7 - l*m - 4/7*m**2 = 0 for m.
-24, 1
Let y(c) be the second derivative of -5*c**5/7 - 3505*c**4/21 + 5632*c**3/21 - 1128*c**2/7 - 2153*c. Factor y(t).
-4*(t + 141)*(5*t - 2)**2/7
Let w(x) be the third derivative of -x**8/168 - 37*x**7/105 + 13*x**6/20 + 37*x**5/30 - 19*x**4/6 + 1824*x**2. Let w(y) = 0. What is y?
-38, -1, 0, 1
Let p(b) be the first derivative of -b**4/36 - 16*b**3/27 - 34*b**2/9 - 80*b/9 + 2761. Find m such that p(m) = 0.
-10, -4, -2
Let h(q) be the first derivative of q**4 - 9*q**2 - 36*q**3 - 3*q**4 - 2 + 3*q**2 + 8*q + 30*q**4. Determine f so that h(f) = 0.
-2/7, 1/4, 1
Suppose -5*l + 2*j + 10 = 0, 25*l - 21*l + j = 8. Find o, given that -4*o**l + 45 - 4*o - 49 - 4*o = 0.
-1
Let j be (25/15 + -5)*12/(-10). Factor 84*b**2 - 6*b - 48*b**2 + b**3 + j + 5*b**3 + 10*b**4 - 50*b**2.
2*(b - 1)*(b + 1)**2*(5*b - 2)
Factor 1284/5*z**4 + 7624/5*z**2 + 1268/5 - 5076/5*z - 4/5*z**5 - 5096/5*z**3.
-4*(z - 317)*(z - 1)**4/5
Suppose 618 = 9*o - 4*t - 3712, o - 5*t - 431 = 0. Solve -5022*n**3 - 176/3 - 2360/3*n + o*n**4 - 3492*n**2 = 0 for n.
-2/9, 11
Let f be 4*(-27 + 1635/60) - 8/14. Let f*d**2 - 3*d - 24/7 = 0. What is d?
-1, 8
Let c be (12/18)/((-51)/270*1). Let w = -626/187 - c. Factor -12/11 - w*v**2 - 10/11*v.
-2*(v + 2)*(v + 3)/11
Let m(z) be the second derivative of 2*z - 1/98*z**7 + 1 + 0*z**2 + 3/7*z**4 + 3/35*z**6 - 2/7*z**3 - 39/140*z**5. Factor m(a).
-3*a*(a - 2)**2*(a - 1)**2/7
Let s(g) be the first derivative of g**5/390 - g**4/13 - 28*g**3/39 - g**2/2 + 17*g - 121. Let x(i) be the second derivative of s(i). Factor x(d).
2*(d - 14)*(d + 2)/13
Let f = -50273 - -50275. Suppose 3/5*o**4 + 3/5*o**f - 6/5 + 11/5*o**3 - 11/5*o = 0. Calculate o.
-3, -1, -2/3, 1
Find x, given that -111/5*x**2 + 47/5*x + 41/5*x**3 + 13/5*x**4 + 2 = 0.
-5, -2/13, 1
Let h(g) be the first derivative of -g**7/21 + 4*g**6/15 - 2*g**5/5 - 122*g - 91. Let d(f) be the first derivative of h(f). Factor d(j).
-2*j**3*(j - 2)**2
Let u(l) = -l**2 + 5*l + 1. Let y be u(4). Let t = 2739 - 2721. Find j, given that 6*j + 9*j**y - 18*j**3 - 15*j - 24*j**4 + t*j + 24*j**2 = 0.
-1, -1/3, 0, 1, 3
Let w(u) = -90*u**2 - 2*u**3 - 10*u + 85*u**2 + 24 + u**3. Let m(q) = -2*q**3 - 11*q**2 - 19*q + 46. Let d(n) = -4*m(n) + 7*w(n). Factor d(p).
(p - 1)*(p + 2)*(p + 8)
Let l(v) = 4077*v - 203850. Let u be l(50). Factor -136/21*x**3 + 0 + 2312/21*x**2 + u*x + 2/21*x**4.
2*x**2*(x - 34)**2/21
Suppose 0 = 5*d, 4*p - 2*d + 88 = 3*p. Let x be (-8)/(128/p) + -5. Find q such that -x*q**3 - 2*q + 0 + 2*q**2 = 0.
0, 2
Let c be (-7)/(245/(-35224)) - (-2)/(-5). Factor -c*w**2 + 6 + 2 - 9*w + 2*w**3 - 5*w + 1010*w**2.
2*(w - 1)**2*(w + 4)
Suppose -2*x + 307 = j, -4*x - 10*j = -9*j - 617. Let y = x + -457/3. Factor -y*r**3 + 2/3*r**4 - 4/3*r + 0 + 10/3*r**2.
2*r*(r - 2)*(r - 1)**2/3
Let r(z) = -170*z**2 + 1894*z - 261. Let b be r(11). Determine o,