3/7 - 2187*q**2/2 + 39366*q/7 - 3757. Factor w(a).
-(a - 2)*(a + 27)**3/7
Suppose -2*a + 9 = 7. Let u be (-5 + a)*3/(-6). Factor 9*o**3 + 10*o**u - 2*o**3 - 4*o**2 - 5*o**3.
2*o**2*(o + 3)
Let j = -7/689 + 703/1378. Let n(q) be the first derivative of 1/10*q**5 - 6 + 0*q**2 + j*q**4 + 0*q + 2/3*q**3. Factor n(i).
i**2*(i + 2)**2/2
Let z(t) be the second derivative of -t**6/120 - 11*t**5/10 - 459*t**4/8 - 1458*t**3 - 137781*t**2/8 + 153*t. Find l, given that z(l) = 0.
-27, -7
Let w(v) be the third derivative of 5*v**8/112 - 2*v**7/5 + v**6/5 + 19*v**5/10 - 13*v**4/8 - 5*v**3 + v**2 + 189*v. Determine j, given that w(j) = 0.
-1, -2/5, 1, 5
Let j(x) be the second derivative of x**5/4 + 125*x**4/12 + 215*x**3/6 - 345*x**2/2 + 5*x + 143. Factor j(b).
5*(b - 1)*(b + 3)*(b + 23)
Factor -88*z + 1/3*z**3 + 8228/3 - 9*z**2.
(z - 22)**2*(z + 17)/3
Let y = -1343644/7 + 191950. Find a such that y*a**2 - 1 - 8/7*a + 8/7*a**3 + 1/7*a**4 = 0.
-7, -1, 1
Let k(q) = q**3 + 4*q**2 - 6*q - 4. Let p be k(-5). Suppose -5*z + 11 = p. Factor u - 43*u**2 + 2*u + 44*u**2 + z.
(u + 1)*(u + 2)
Let g(k) be the third derivative of 3*k**2 - 1/25*k**6 - 21 + 1/420*k**8 + 4/75*k**5 - 2/525*k**7 + 0*k**3 + 4/15*k**4 + 0*k. Let g(i) = 0. What is i?
-2, -1, 0, 2
Let v(a) be the third derivative of 0*a**3 + 49/240*a**5 + 1/840*a**7 + 0*a**4 - 7/240*a**6 + 0 + 0*a - 65*a**2. Factor v(r).
r**2*(r - 7)**2/4
Suppose 2*i + 4*g - 48 = 0, i = 3*g - 24 - 7. Solve 8/7*c - 8/7*c**3 + 0 + 30/7*c**i = 0.
-1/4, 0, 4
Let k(y) = y**2. Let h(i) = -2*i**2 - 12*i - 36. Suppose 3*f + 17 = 5*t, 6 = -5*t - 3*f - 1. Let a be (0/4)/(1/1) - t. Let r(w) = a*h(w) - k(w). Factor r(p).
(p + 6)**2
Solve 2*x**3 + 0 - 52/5*x + 43/5*x**2 - 1/5*x**4 = 0 for x.
-4, 0, 1, 13
Factor 2/11*c**2 + 62/11*c + 116/11.
2*(c + 2)*(c + 29)/11
Let q = 713/1548 - -112/387. Suppose -9/4 - 1/12*p**3 + 1/4*p**2 + q*p = 0. What is p?
-3, 3
Let x(u) be the first derivative of -u**3/12 - 79*u**2/4 + 483*u/4 + 2991. Suppose x(b) = 0. What is b?
-161, 3
Let z(f) = f**5 - f + 1. Let u = 149 - 151. Let w(b) = 3*b**5 + 2*b**4 - 6*b**3 - 8*b**2 + 3*b + 8. Let q(j) = u*z(j) + w(j). Let q(h) = 0. Calculate h.
-3, -1, 1, 2
Suppose -4*n + 26 = -2*w, -n + 9 = n - 5*w. Solve -239*x**3 + 121*x**3 + n*x - 45*x**2 + 192 + 121*x**3 + 137*x = 0.
-1, 8
Let v be (10 + 225/(-18))*(-132)/165. Find o such that 4/3 - v*o + 2/3*o**2 = 0.
1, 2
Let w(o) be the first derivative of 235 + 533/3*o**2 - 338/3*o - 58/15*o**5 + 1/9*o**6 - 1172/9*o**3 + 125/3*o**4. Factor w(c).
2*(c - 13)**2*(c - 1)**3/3
Factor -6970/7*i + 25/7*i**2 + 485809/7.
(5*i - 697)**2/7
Let b = -820 - -817. Let f be 31/(-11) - b - 4/22. Factor 0 + 0*t - 1/2*t**2 + 1/2*t**4 + f*t**3.
t**2*(t - 1)*(t + 1)/2
Let m(t) be the third derivative of -20/3*t**4 + 10*t**3 - 1/14*t**7 + 0*t + 0 + 7/4*t**5 + 1/12*t**6 + 17*t**2. Solve m(k) = 0 for k.
-3, 2/3, 1, 2
Let t = 1215715/2 - 607843. Factor 1/2*z**2 - t*z + 14.
(z - 28)*(z - 1)/2
Let y be (-3410)/40 - 1*(-5)/20. Let b be (-1)/(y/(-16) + 30/(-5)). Factor -2/11*t**3 + 8/11 + 10/11*t**2 - b*t.
-2*(t - 2)**2*(t - 1)/11
Solve -30 + 8/3*j**2 + 76*j + 50/3*j**4 - 260/3*j**3 = 0 for j.
-1, 3/5, 5
Solve -737*q**3 - 118*q - 263 - 889*q - 1553*q - 2772*q**2 - 313 + 899*q**3 = 0 for q.
-4/9, 18
Solve 56*x**2 + 9*x**3 + 32 - 4*x**2 - 93492*x + 93336*x = 0.
-8, 2/9, 2
Let f(n) be the first derivative of -79 - 9/2*n**2 - n**3 + 30*n. Factor f(h).
-3*(h - 2)*(h + 5)
Let w = -60653 + 60655. Suppose -4/7 + 18/7*a**2 - w*a = 0. What is a?
-2/9, 1
Let r(n) be the first derivative of 5*n**3/3 - 240*n**2 + 2700*n + 5682. Determine m so that r(m) = 0.
6, 90
Factor 384 + 1632*b - 102*b**3 + 12148*b**2 + 15*b**4 - 12604*b**2 + 12*b**4.
3*(b - 4)**2*(b + 4)*(9*b + 2)
Let w(a) be the second derivative of a**6/75 - 343*a**5/25 + 38987*a**4/10 + 235984*a**3/15 + 118336*a**2/5 + 2732*a. Factor w(l).
2*(l - 344)**2*(l + 1)**2/5
Let g(h) be the third derivative of h**5/270 + 977*h**4/108 - 1958*h**3/27 - 2*h**2 + 9*h + 7. Find k such that g(k) = 0.
-979, 2
Let x = 310 - 271. Factor 7*i**4 + 6*i**2 - x*i**3 - 27*i**2 - i**5 + 4*i**5 - 22*i**4.
3*i**2*(i - 7)*(i + 1)**2
Let u(k) = k**3 - k**2 + 2*k + 2. Let p(y) = 156*y**3 - 7700*y**2 + 99856*y + 2720. Let g(w) = p(w) - 8*u(w). Factor g(z).
4*(z - 26)**2*(37*z + 1)
Suppose -42*v = -28*v - 28. Factor -3 - 3 - 12*u**v - 5136*u + 5174*u.
-2*(u - 3)*(6*u - 1)
Let y(u) be the second derivative of 2*u**6 - 317*u**5/5 + 9*u**4 + 634*u**3/3 - 84*u**2 - 7429*u. Find q such that y(q) = 0.
-1, 2/15, 1, 21
Let m(c) be the first derivative of -1/4*c**3 - 64 - 9/4*c + 3/2*c**2. Suppose m(v) = 0. What is v?
1, 3
Let q(d) = -d**3 - 670*d**2 - 2*d + 8. Let k be q(0). Factor k*z - 36 + 4/3*z**2.
4*(z - 3)*(z + 9)/3
Let k(y) = -y**3 - 14*y**2 - 23*y + 17. Let l be k(-12). Let t(x) = 2*x**2 + x + 1. Let h be t(-2). Let -l*s**2 - 7*s - h*s + 9*s = 0. What is s?
-1, 0
Let v be ((-55)/66)/((-1)/6). Suppose 4*u = -4*p + 32, 20 = -p + v*p. Factor -1/5*x**u + 0*x**2 + 3/5*x - 2/5.
-(x - 1)**2*(x + 2)/5
Let d(f) be the second derivative of -f**6/90 - 2*f**5/5 - 7*f**4/3 - 40*f**3/9 - 27*f + 34. What is z in d(z) = 0?
-20, -2, 0
Let r(v) be the first derivative of v**6/33 - 42*v**5/11 + 2803*v**4/22 - 1458*v**3/11 - 13208*v**2/11 - 16224*v/11 + 604. Determine q, given that r(q) = 0.
-1, 3, 52
Let y(t) be the third derivative of t**5/60 + 4*t**4 + 95*t**3/6 - 630*t**2. Factor y(p).
(p + 1)*(p + 95)
Let x(d) be the first derivative of -2*d**3/3 - 262*d**2 - 1554*d + 1811. Let x(g) = 0. Calculate g.
-259, -3
Let l be -2 - (-5 - (-4 - -6)). Determine d so that -40 - 152*d**3 - 10*d**2 + 60*d**2 - 10*d**4 + 25*d**l - 29*d + 129*d + 27*d**3 = 0.
-2, -1, 2/5, 1, 2
Factor 1135*p**3 - 4*p**4 - 1910*p**3 - 466*p**2 + 1175*p**3 + 70*p**2.
-4*p**2*(p - 99)*(p - 1)
Let c = -49420/3 - -16480. Let z(x) be the first derivative of 28 - 5/4*x**4 - 10*x - c*x**3 - 25/2*x**2. Factor z(j).
-5*(j + 1)**2*(j + 2)
What is h in 52/3*h**4 + 0*h**3 + 0*h + 0 + 0*h**2 + 4/3*h**5 = 0?
-13, 0
Let q(s) = -s**2 - 18*s - 18. Let v(x) be the second derivative of -x**4/4 - 89*x**3/6 - 89*x**2/2 - 8*x. Let h(y) = 11*q(y) - 2*v(y). Factor h(n).
-5*(n + 2)**2
Let q(p) be the third derivative of -p**5/3 + 15*p**4/8 - 25*p**3/6 - 5289*p**2. Factor q(b).
-5*(b - 1)*(4*b - 5)
Let d(u) be the third derivative of 0 + 1/660*u**6 - 6*u + 64/33*u**3 + 14*u**2 + 4/11*u**4 - 1/22*u**5. Find s such that d(s) = 0.
-1, 8
Let z(l) be the third derivative of l**6/40 - 27*l**5/10 - l**4/2 + 108*l**3 - 5*l**2 + 95. Factor z(q).
3*(q - 54)*(q - 2)*(q + 2)
Let u = 61 + -72. Let w(l) = 2*l**3 - 16*l**2 - 6*l + 12. Let a(q) = -6*q**3 + 47*q**2 + 17*q - 36. Let j(b) = u*w(b) - 4*a(b). Factor j(p).
2*(p - 6)*(p - 1)*(p + 1)
Suppose -2*q + 6*s = -22 - 10, -2*q = -4*s - 32. Let c(h) be the first derivative of -q + 2/21*h**3 - 1/7*h**2 - 4/7*h. Determine b so that c(b) = 0.
-1, 2
Let o be (-1 - -84)/((-8)/(-56)). Let k = o - 576. Factor 2*z**4 - 2/7*z**k - 36/7*z**2 + 54/7 + 54/7*z - 20/7*z**3.
-2*(z - 3)**3*(z + 1)**2/7
Let x(u) = u**3 - 455*u**2 - 1348*u - 888. Let o(c) = -15*c**3 + 5916*c**2 + 17529*c + 11544. Let k(l) = -2*o(l) - 27*x(l). Let k(i) = 0. Calculate i.
-148, -2, -1
Suppose 189*x = -118*x + 167*x. Suppose 8/9*a + x + 8/9*a**4 - 14/9*a**3 - 8/9*a**2 + 2/3*a**5 = 0. What is a?
-2, -1, 0, 2/3, 1
Let j(b) be the second derivative of -2 - 1/5*b**6 + b**4 + 22*b + 9/20*b**5 - 1/14*b**7 + 0*b**2 - 2*b**3. Factor j(d).
-3*d*(d - 1)**2*(d + 2)**2
Let i be 10/(-40) - (-9)/4. Suppose -i*t = 6*t - 32. What is h in t*h - 4 + 12 + h**2 - 5 = 0?
-3, -1
Suppose 0*h = -3*h + 816. Suppose -55 = -s + 2*n, -h + 23 = -5*s - 3*n. Factor d**2 - s*d + 27*d + 19*d.
d*(d - 5)
Suppose o - 2 = 1. Let q be (-24)/60 - (-6 + 102/20). Factor 0 + q*a**o + 9/2*a + 3*a**2.
a*(a + 3)**2/2
Find w such that 3*w**5 - 7*w**5 + 16*w**4 + 3*w**4 - 5*w**5 + 10*w**5 - 142*w**3 + 200*w**2 = 0.
-25, 0, 2, 4
Let f be ((-6450)/600)/(43/(-2)). Let r = -2/141 + 292/705. Let -f*y**3 - 7/10*y**2 + 1/5*y + 0 + r*y**4 = 0. What is y?
-1, 0, 1/4, 2
Let w(m) be the first derivative of -11*m**6/12 - 13*m**5/10 + 163*m**4/8 - 223*m**3/6 + 16*m**2 + 10*m + 103. Let w(u) = 0. Calculate u.
-5, -2/11, 1, 2
Let b be (-11 + -211)/(-6) + -11. Suppose -b = -2*n - 2