 - 5*x(k). Factor r(s).
-5*s*(s - 3)
Let w(l) be the third derivative of l**6/12 - 31*l**5/30 + l**4/6 + 8*l**3 + 59*l**2 - l. Find k such that w(k) = 0.
-4/5, 1, 6
Suppose 19*f**3 - 235*f**2 - 5*f**4 + 372*f + 66*f**3 - 5*f**5 - 60 + 20*f**3 - 172*f = 0. Calculate f.
-6, 1, 2
Let w be (10 + 0)*(-14)/(-28). Factor -9*k + 19*k**3 - w - 11*k + k**3 + 5*k**2.
5*(k - 1)*(k + 1)*(4*k + 1)
Let r(u) be the first derivative of -5*u**4/16 - 5*u**3 - 105*u**2/8 + 245*u/2 + 57. Factor r(o).
-5*(o - 2)*(o + 7)**2/4
Factor -2*a + 0 - 2/3*a**2.
-2*a*(a + 3)/3
Suppose -4*s + 118 = 2*a, -a + 3*s + s = -83. Factor -20*b - 24*b**2 + 66 - 129 + a.
-4*(b + 1)*(6*b - 1)
Suppose -6*u**3 - 684*u + 33*u**2 + 621*u + 27 + u**3 = 0. Calculate u.
3/5, 3
Determine p, given that -4/3*p - 1/3 - 2*p**2 - 4/3*p**3 - 1/3*p**4 = 0.
-1
Let l = -10 - -13. Suppose 8 = l*g + 2. Find p, given that 4*p**2 - p**3 + 3*p**3 - g*p**2 - 4*p**3 = 0.
0, 1
Let m(x) be the third derivative of 0*x + 0*x**3 - 7*x**2 - 1/60*x**5 - 1/48*x**4 - 1/240*x**6 + 0. What is f in m(f) = 0?
-1, 0
Let b(f) be the second derivative of f**5/130 - f**4/6 + 35*f**3/39 + 49*f**2/13 - f - 27. Find g such that b(g) = 0.
-1, 7
Let p(f) be the first derivative of f**8/7560 - f**6/270 - 2*f**5/135 - f**4/36 + 11*f**3/3 + 2. Let l(q) be the third derivative of p(q). Factor l(u).
2*(u - 3)*(u + 1)**3/9
Factor 0 + 2/5*d**3 + 22/5*d**2 + 36/5*d.
2*d*(d + 2)*(d + 9)/5
Let y(f) be the first derivative of 2*f**3/27 + 10*f**2/9 + 50*f/9 - 181. Factor y(m).
2*(m + 5)**2/9
Let z(j) = 2*j - 7. Let o be z(0). Let u be 4 - o/(21/(-6)). Factor 5*i**2 + 5*i + 2*i + 2*i - u - 6*i.
(i + 1)*(5*i - 2)
Let k(v) be the second derivative of -v**7/1890 - v**6/810 + v**5/270 + v**4/54 + 2*v**3 - 2*v. Let f(p) be the second derivative of k(p). Solve f(l) = 0.
-1, 1
Let s(l) be the second derivative of -l**5/15 + 4*l**4/3 - 32*l**3/3 - 2*l**2 + l. Let g(m) be the first derivative of s(m). Factor g(o).
-4*(o - 4)**2
Let c be 2/(-2) + 7 + 0 + -2. Factor 3*q**2 - c + 2*q - 1/2*q**4 - 1/2*q**3.
-(q - 2)*(q - 1)*(q + 2)**2/2
Let p = -31 - -67. Let x = p - 106/3. Determine k, given that -4/3*k**2 - x*k**3 + 0*k + 0 + 2/3*k**4 = 0.
-1, 0, 2
Let r(t) be the first derivative of -82/3*t**3 - 8*t + 32*t**2 - 25 + 13/2*t**4. What is n in r(n) = 0?
2/13, 1, 2
Let t(l) = -17*l**2 + 15*l**2 - l**3 + 3*l + 10 + 7*l. Let i be t(-4). Factor 0 - 1/5*w - 1/5*w**i.
-w*(w + 1)/5
Let g(v) be the second derivative of 0 - 1/2*v**2 - 1/30*v**5 - 1/4*v**4 - 2/3*v**3 - v. Let l(s) be the first derivative of g(s). Factor l(y).
-2*(y + 1)*(y + 2)
Let b(g) = -29*g**4 + 259*g**3 - 519*g**2 - 128*g. Let c(v) = 14*v**4 - 128*v**3 + 260*v**2 + 64*v. Let r(x) = 4*b(x) + 7*c(x). What is d in r(d) = 0?
-2/9, 0, 4
Suppose s + 672 = -27*s. Let i be ((-2)/4)/(51/s - -2). Determine p, given that -1/2*p**2 + 0*p**3 + 0 + 0*p + 1/2*p**i = 0.
-1, 0, 1
Let i(u) be the first derivative of -5*u**6/6 + 25*u**5 - 535*u**4/2 + 3280*u**3/3 - 320*u**2 - 5120*u - 543. Factor i(a).
-5*(a - 8)**3*(a - 2)*(a + 1)
Solve -22/17*b + 6/17*b**3 + 12/17 + 6/17*b**2 - 2/17*b**4 = 0 for b.
-2, 1, 3
Factor 8*w - 10*w**3 + 19*w**2 - 16*w**2 - w**4 + 8*w**3 + 4.
-(w - 2)*(w + 1)**2*(w + 2)
Let j(m) be the third derivative of m**6/90 + 3*m**5/10 + 4*m**4/3 + 17*m**3/6 + 15*m**2 - 2*m. Let r(k) be the first derivative of j(k). Factor r(c).
4*(c + 1)*(c + 8)
Suppose -4*m = -2*m - 4. Factor -22*c**2 - 2*c**2 + 6*c + 3*c**m.
-3*c*(7*c - 2)
Let m be (2 - 4)*(-44)/2. Suppose m*g + 12 = 50*g. Find n such that -g*n - 1/3*n**2 - 3 = 0.
-3
Let g(w) be the third derivative of -w**7/105 + w**6/60 + 3*w**5/10 + 11*w**4/12 + 4*w**3/3 + 14*w**2 - 4. Factor g(m).
-2*(m - 4)*(m + 1)**3
Let j(n) be the first derivative of 0*n - 3/40*n**5 + 0*n**2 + 0*n**3 - 15 + 0*n**4. Factor j(c).
-3*c**4/8
Find h, given that 0*h - 6*h**2 - h**3 + 0 + 1/3*h**5 + 4/3*h**4 = 0.
-3, 0, 2
Let k be (-2)/60*15/144. Let i = k + 583/2016. Factor 4/7*h + 2/7*h**2 + 0 - i*h**3.
-2*h*(h - 2)*(h + 1)/7
Let s = 329347/6 - 54891. Factor 0*u**2 + s*u**4 + 0 - 1/6*u**3 + 0*u.
u**3*(u - 1)/6
Suppose 0 = -0*f - 4*f. Suppose -3*t + 5 + 1 = 0. Factor -q + 2*q + 0*q + q**t + f*q**2.
q*(q + 1)
Let k(g) be the third derivative of -g**7/945 - g**6/180 + g**5/135 + g**4/9 + 8*g**3/27 + 65*g**2. Let k(i) = 0. Calculate i.
-2, -1, 2
Let c(o) be the first derivative of 20/27*o**3 - 26/9*o**2 + 28/9*o + 1/9*o**4 + 3. Factor c(h).
4*(h - 1)**2*(h + 7)/9
Factor 11/2*o - 23/4 + 1/4*o**2.
(o - 1)*(o + 23)/4
Let p(c) be the second derivative of -1/45*c**3 + 1/45*c**4 + 1/150*c**5 - 2/15*c**2 + 44*c + 0. Let p(x) = 0. Calculate x.
-2, -1, 1
Let i(x) = x + 24. Let z be i(-21). Let b be 9/12*(-8)/(-14). Factor 9/7*k - 12/7*k**z - b + 0*k**2.
-3*(k + 1)*(2*k - 1)**2/7
Let y(d) = -d**3 - 2*d - 1. Let i(a) = -10*a**3 + 95*a**2 - 30*a - 15. Let j(o) = -i(o) + 15*y(o). Determine v, given that j(v) = 0.
-19, 0
Let u = -16361 - -49283/3. Determine i so that -u - 40/3*i - 2/3*i**2 = 0.
-10
Let i(b) be the third derivative of -b**7/3780 + b**6/1620 + b**5/108 + b**4/36 + 3*b**3/2 - 7*b**2. Let r(a) be the first derivative of i(a). Factor r(v).
-2*(v - 3)*(v + 1)**2/9
Let s(h) be the second derivative of 0 - 1/50*h**5 + 12*h + 0*h**3 + 0*h**2 + 1/30*h**4. Factor s(a).
-2*a**2*(a - 1)/5
Let w = 6938 + -27751/4. Factor -1/4*h**2 - 1/4*h + 1/4*h**3 + w.
(h - 1)**2*(h + 1)/4
Let z(n) be the third derivative of -n**6/80 + 27*n**5/40 - n**2 - 585*n. Factor z(d).
-3*d**2*(d - 27)/2
Suppose 11 = 2*p + 210*h - 207*h, -5*h = -5*p + 15. Suppose 0 - y**2 + 4/5*y**3 - 1/5*y**p + 2/5*y = 0. Calculate y.
0, 1, 2
Let b(r) be the first derivative of -2*r**6/15 - 172*r**5/25 - 586*r**4/5 - 552*r**3 + 2430*r**2 - 2700*r + 93. What is j in b(j) = 0?
-15, 1
Determine b so that -27/4*b**2 + 9 + 69/4*b = 0.
-4/9, 3
Let q(h) = -24*h + 1778. Let x be q(74). Let 2/7*s**3 + 1/7*s**5 - 5/7*s**4 - 9/7 - 3/7*s + x*s**2 = 0. Calculate s.
-1, 1, 3
Let -2/3*b**3 + 8/3*b + 2/3*b**4 - 8/3*b**2 + 0 = 0. Calculate b.
-2, 0, 1, 2
Suppose g + 4*g - 10 = 0. Suppose 0 = a - 3*a + 4. Factor -4*k**a - 6 + 3*k + 2*k**2 + 5*k**2 + 0*k**g.
3*(k - 1)*(k + 2)
Let q(j) be the third derivative of 3*j**8/56 - 79*j**7/105 + 15*j**6/4 - 63*j**5/10 - 9*j**4/2 - 11*j**2. Factor q(p).
2*p*(p - 3)**3*(9*p + 2)
Suppose d**2 + 3/2*d**4 + 4*d + 0 - 13/2*d**3 = 0. Calculate d.
-2/3, 0, 1, 4
Factor -2/7*c**2 - 4*c - 14.
-2*(c + 7)**2/7
Suppose 33 - 7*i**2 + 5*i**4 - 2*i**3 - 13 - 20*i - 18*i**2 - 5*i**5 + 27*i**3 = 0. Calculate i.
-2, -1, 1, 2
Let f = 14700 - 44092/3. Determine y so that f*y - 80/3*y**4 + 62*y**3 - 24*y**2 - 32*y**5 + 0 = 0.
-2, 0, 1/4, 2/3
Let x(c) be the first derivative of -3/2*c**2 + 13 + 1/4*c**3 + 9/4*c. Solve x(k) = 0 for k.
1, 3
Let h(n) = -12*n + 65. Let w(d) = -6*d + 33. Let g(a) = 3*h(a) - 5*w(a). Let m be g(5). Factor 0*t + m - 2/5*t**4 - 4/5*t**3 - 2/5*t**2.
-2*t**2*(t + 1)**2/5
Let n(w) = -365*w**3 + 596*w**2 + 250*w + 22. Let l(g) = g**3 - g**2 + g + 1. Let p(k) = -2*l(k) - n(k). Solve p(r) = 0.
-2/11, 2
Let b be -15*(8/(-6))/4. Suppose -24*g + 14*g**2 + 4*g**2 - g + 2*g**2 + b = 0. What is g?
1/4, 1
Let t be (12/120)/(1 + (-39)/42). Let a(s) be the first derivative of -1 + 4/5*s - 2/3*s**3 + 2/5*s**4 - t*s**2. What is n in a(n) = 0?
-1, 1/4, 2
Let g(b) be the third derivative of -b**7/1680 - b**6/144 - b**5/30 - b**4/12 - 10*b**3/3 - 11*b**2. Let w(r) be the first derivative of g(r). Factor w(m).
-(m + 1)*(m + 2)**2/2
Let t(a) = 1. Let l(g) = g**2 - 6*g + 2. Let y be l(6). Suppose y = 3*s + 5. Let z(d) = 21*d**3 - 57*d**2 + 24*d. Let h(b) = s*z(b) - 12*t(b). Factor h(j).
-3*(j - 2)*(j - 1)*(7*j + 2)
Let q(z) = 16*z**2 + 9*z + 26. Let l(s) = -2*s**2 - s - 2. Let x(w) = -18*l(w) - 2*q(w). Let x(j) = 0. Calculate j.
-2, 2
Factor 361/6 + 1/6*o**3 - 37/6*o**2 + 323/6*o.
(o - 19)**2*(o + 1)/6
Find a such that -81/2 - 18*a**3 + 3/2*a**4 + 18*a + 39*a**2 = 0.
-1, 1, 3, 9
Suppose -z - 4*q + 7 = -q, 2*q = -2*z + 2. Let d(t) = 2*t**2 + 57*t + 450. Let u(n) = -2*n**2 - 58*n - 450. Let k(v) = z*d(v) - 3*u(v). Factor k(f).
2*(f + 15)**2
Let s be 1 - 0 - 12/(-8)*8. Suppose 0 = 2*h + h - g - 6, 0 = -2*h + 2*g. Suppose -2*x**4 + 4*x - 10*x**3 + s*x**3 - 7*x**h + 2 = 0. Calculate x.
-1, 1
Determine c, given that -206/5*c + 4/5 