2*u**2*(u - 1)**2*(4*u + 1)/5
Determine l so that 42 + 39/2*l - 3/4*l**2 = 0.
-2, 28
Let q(z) be the second derivative of -z**7/10080 + z**6/2880 - 5*z**4/4 - 25*z. Let i(t) be the third derivative of q(t). Factor i(k).
-k*(k - 1)/4
Let q(j) be the second derivative of 13*j + 3/100*j**5 + 5/2*j**3 + 0*j**2 + 0 - 1/2*j**4. Solve q(d) = 0.
0, 5
Solve 22*s**3 - 127*s**3 - 41*s**4 - 17*s**5 - 39*s**4 - 3*s**5 - 32*s**2 - 13*s**2 = 0.
-3/2, -1, 0
Let b(c) be the second derivative of 1/6*c**4 - 1/10*c**5 + 0*c**3 - 2/5*c**6 + 0 + 11*c + 0*c**2. Suppose b(h) = 0. Calculate h.
-1/2, 0, 1/3
Factor 0 + 0*s + 0*s**2 + 8/5*s**3 - 2/5*s**4.
-2*s**3*(s - 4)/5
Let m(d) be the third derivative of d**5/60 - 7*d**4/4 + 147*d**3/2 - 3*d**2 + 3. Suppose m(w) = 0. Calculate w.
21
Let n = 449 + -446. Let h(y) be the second derivative of 1/6*y**n + 0 - 13/20*y**5 + 1/5*y**6 - 3*y + 7/12*y**4 - 1/2*y**2. Factor h(l).
(l - 1)**2*(2*l - 1)*(3*l + 1)
Factor 0*j - 3/2*j**5 - 2*j**3 + 0*j**2 - 7/2*j**4 + 0.
-j**3*(j + 1)*(3*j + 4)/2
Let 1/4*h**2 + 5/2*h + 0 = 0. What is h?
-10, 0
Let w(j) = -4*j**2 + 2*j - 30. Let m(z) = -7*z**2 + 4*z - 55. Let a(f) = -6*m(f) + 11*w(f). Solve a(l) = 0 for l.
-1, 0
Let g(h) = 4*h**3 - 3*h**2 + 4*h. Let l(a) = 5*a**3 + 5*a + 567 - 4*a**2 - 567. Let f(n) = -6*g(n) + 5*l(n). Factor f(b).
b*(b - 1)**2
Let y(b) be the third derivative of -b**6/660 + b**5/330 + b**4/33 - 4*b**3/33 - 119*b**2. Factor y(q).
-2*(q - 2)*(q - 1)*(q + 2)/11
Let b(t) be the second derivative of -3*t**5/160 + 3*t**4/16 - 9*t**3/16 - 2*t + 11. Solve b(x) = 0.
0, 3
Suppose 2*p - 7 = -x, -4*x + 5*x = 5*p + 21. Suppose 3*j = 2 + 1. Factor -3*k**2 - x - j + 12.
-3*k**2
Find h, given that 5/4*h**3 + 5/4 + 31/4*h**2 + 31/4*h = 0.
-5, -1, -1/5
Let s(x) be the second derivative of x**7/63 - 17*x**6/45 + 47*x**5/15 - 95*x**4/9 + 161*x**3/9 - 49*x**2/3 - 107*x. Determine p so that s(p) = 0.
1, 7
Let w(g) be the first derivative of -8*g**5/5 + 23*g**4 - 42*g**3 + 61*g**2/2 - 10*g - 597. Factor w(s).
-(s - 10)*(2*s - 1)**3
Let d(y) be the first derivative of 4*y**3/3 - 17*y**2/6 + 5*y/3 + 47. Let d(m) = 0. Calculate m.
5/12, 1
Let i(g) be the second derivative of -5*g**4/12 + 5*g**3/2 + 70*g**2 - 2*g - 4. Factor i(l).
-5*(l - 7)*(l + 4)
Let y be (-2694)/(-336)*8 + (-2)/(-14). Let 32/7*l - 256/7*l**2 + y*l**5 + 0 + 752/7*l**3 - 960/7*l**4 = 0. Calculate l.
0, 2/5, 2/3
Let f(g) be the third derivative of 0*g**3 - 1/10*g**5 - 1/2*g**4 + 1/28*g**7 + 1/224*g**8 + 3/40*g**6 + 0 + 5*g**2 + 0*g. Suppose f(k) = 0. Calculate k.
-2, 0, 1
Suppose 15 = 3*z + 3*b, 5*z - 3*z - 3*b + 10 = 0. Let n be (z/6*-3)/(-3)*2. Suppose n*u + 6*u**3 + 0 + 8/3*u**2 + 5/3*u**5 + 16/3*u**4 = 0. Calculate u.
-1, -1/5, 0
Let s be (0*4/8)/(-1 + -1). Suppose n + 0*b = 2*b + 7, -2*n + 8 = -b. Factor 2*x**2 - n*x**2 + 5 - 4 - x + s*x**2 + x**3.
(x - 1)**2*(x + 1)
Let t(k) be the first derivative of 1 + 9/20*k**5 + 0*k**2 - k - k**3 + 1/4*k**4. Let f(v) be the first derivative of t(v). Find z such that f(z) = 0.
-1, 0, 2/3
Let b(w) be the first derivative of -4/9*w**3 - 10/3*w + 45 + 5/3*w**4 + 1/9*w**6 - 11/3*w**2 + 14/15*w**5. Let b(d) = 0. What is d?
-5, -1, 1
Suppose 0 = -95*j + 99*j. Factor 0 - 2/13*n**2 + j*n.
-2*n**2/13
Find j such that 0 + 2/3*j**2 - 92/3*j**3 + 0*j = 0.
0, 1/46
Let r = -680 - -1539. Factor -3*q**4 - 4*q**4 + 7*q**3 - r + q**5 - 16*q + 19*q**2 + 839.
(q - 5)*(q - 2)**2*(q + 1)**2
Find l such that 21/2*l + 1/2*l**2 + 0 = 0.
-21, 0
Let i = -190 - -17101/90. Let o(w) be the third derivative of i*w**5 + 7*w**2 + 0*w**4 - 1/9*w**3 + 0 + 0*w. Factor o(q).
2*(q - 1)*(q + 1)/3
Let f = 189 + -180. Suppose f*n + 2*n - 4*n = 0. Factor n + 0*k**2 + 2/3*k**4 - 1/3*k**3 + 0*k - 1/3*k**5.
-k**3*(k - 1)**2/3
Let x(y) = -5*y**3 + 6*y**2 + 9*y - 14. Let s(l) be the first derivative of 5*l**4/4 - 5*l**3/3 - 5*l**2 + 15*l + 23. Let d(z) = -4*s(z) - 5*x(z). Factor d(r).
5*(r - 2)*(r - 1)*(r + 1)
Let g(u) = -u - 1. Let j be g(7). Let n = j - -10. Factor -2*z**4 + 2*z**3 + 2*z**3 - 2*z**n + 0*z**2.
-2*z**2*(z - 1)**2
Let x = 667/42 + -239/21. Solve -x*v**4 + 6 + 27/2*v**2 + 18*v - 3*v**3 = 0 for v.
-1, -2/3, 2
Let l(w) be the third derivative of w**8/2800 + w**7/350 + w**6/200 - 2*w**3 + 22*w**2. Let u(c) be the first derivative of l(c). Factor u(d).
3*d**2*(d + 1)*(d + 3)/5
Let j be (130/(-15))/(2/18). Let t be (-65)/j*4/10. Factor 1/2 - t*x - 1/6*x**2.
-(x - 1)*(x + 3)/6
Let u(o) = -23*o**4 - o**2 + 3*o - 3. Let t(z) = -54*z**4 - z**3 - z**2 + 7*z - 7. Let r(p) = -3*t(p) + 7*u(p). Suppose r(s) = 0. Calculate s.
-4, 0, 1
Let w(c) be the first derivative of -c**4/4 - 13*c**3/3 - 5*c**2 + 24*c - 311. Factor w(g).
-(g - 1)*(g + 2)*(g + 12)
Factor 2/5 - 11/5*x**2 - 4/5*x**3 - x.
-(x + 1)*(x + 2)*(4*x - 1)/5
Factor -2/11*h**3 + 0 + 114/11*h + 112/11*h**2.
-2*h*(h - 57)*(h + 1)/11
Suppose 0 + 18/5*h + 2/15*h**2 = 0. What is h?
-27, 0
Suppose -3930*v + 3918*v + 48 = 0. Factor 5/2*s - 25/4*s**v + 5/4 + 35/2*s**3 - 15*s**2.
-5*(s - 1)**3*(5*s + 1)/4
Let j(m) = -m**2 - 9*m - 9. Let q be j(-7). Find h such that q*h**5 + 85*h**2 + 14*h**3 + 6*h + 24*h + 35*h**4 + 71*h**3 = 0.
-3, -2, -1, 0
Let u(q) = -q**3 - 85*q**2 - 487*q - 6. Let j(x) = 2*x**3 + 86*x**2 + 486*x + 4. Let v(p) = -3*j(p) - 2*u(p). Factor v(f).
-4*f*(f + 11)**2
What is h in -h**3 - 2*h + 6*h**3 + 15*h**2 + 13*h - h = 0?
-2, -1, 0
Let g be (1 - 3) + (-868)/(-420). Let p(k) be the first derivative of -g*k**3 - 5 + 1/5*k**2 + 0*k. Find y, given that p(y) = 0.
0, 2
Let a be (-21)/(-189) - (244/36 + -7). Factor v**2 + 2/3*v + a*v**3 + 0.
v*(v + 1)*(v + 2)/3
Let v = -36 + 39. What is i in -3*i**5 + 0*i**2 + 3*i**2 - i**2 + i**2 + 3*i**3 - v*i**4 = 0?
-1, 0, 1
Let a(f) be the second derivative of -f**8/23520 + f**7/8820 + f**6/1260 - 7*f**4/6 + 2*f. Let r(v) be the third derivative of a(v). Let r(y) = 0. Calculate y.
-1, 0, 2
Let i(r) be the first derivative of r**4/2 + 16*r**3/3 - 20*r**2 + 281. Let i(d) = 0. What is d?
-10, 0, 2
Let z(p) = 8*p**3 + 305*p**2 - 12171*p + 11858. Let y(l) = 5*l**3 + 152*l**2 - 6086*l + 5929. Let q(t) = 5*y(t) - 3*z(t). Factor q(a).
(a - 77)**2*(a - 1)
Suppose -2*b - 3*b = f, -5*f - 5*b = 0. Let n(q) be the second derivative of 0*q**2 + 1/150*q**6 + 0 + 5*q + f*q**5 + 0*q**3 - 1/60*q**4. Factor n(p).
p**2*(p - 1)*(p + 1)/5
Let v(n) = -n**2 - 50*n - 223. Let f be v(-45). What is s in -9/2 - 1/6*s**4 - 5/3*s**3 - 6*s**f - 9*s = 0?
-3, -1
Determine o so that -34 + 201 + 5*o**2 - 270*o + 114 - 16 = 0.
1, 53
Let h(x) = 8*x**3 + 47*x**2 + 28*x + 44. Let z(p) = -3*p**3 - 16*p**2 - 9*p - 16. Let j(c) = 4*h(c) + 11*z(c). Factor j(d).
-d*(d - 13)*(d + 1)
Let d(q) = -11*q**3 + 4*q**2 - 6*q + 2. Let z(m) = 4*m**3 - m**2 + 2*m - 1. Let t(p) = 3*d(p) + 8*z(p). Let w be t(2). Solve 3 + w*r**2 + 4*r - 3 - 2 + 4 = 0.
-1
Let v(l) = -l**2 + 12. Let u(q) = 1. Suppose 2*p = -2*d + 2, 5*d + 0*d = -3*p + 11. Let m(c) = p*u(c) + v(c). Factor m(o).
-(o - 3)*(o + 3)
Let x(o) be the third derivative of -o**5/12 - 5*o**4/6 - 5*o**3/2 - 82*o**2. What is i in x(i) = 0?
-3, -1
Let z(w) be the first derivative of w**5/10 - w**3/6 - 74. Determine d, given that z(d) = 0.
-1, 0, 1
Let v be (-116)/(-14) - (-22)/(-77). What is g in -4*g**3 - 16*g**2 + v*g + 12 - 3*g**3 + 0*g + 4*g**4 - g**3 = 0?
-1, 1, 3
Let z(m) = -2*m**3 + 3*m**2 - m. Let v(j) = -7*j**2 - 6*j**3 - j**2 + 12*j**3 + j + j. Let r(u) = 3*v(u) + 8*z(u). Factor r(l).
2*l*(l - 1)*(l + 1)
Let g(r) be the second derivative of r**8/2800 - r**7/350 + r**6/150 + 4*r**3/3 + 7*r. Let j(t) be the second derivative of g(t). Find i, given that j(i) = 0.
0, 2
Let z be (-6)/(-8) - (-5)/4. Let j(t) = 11*t - 4. Let c be j(z). Factor 3*k**3 + 36*k + 24 + c*k**2 + k**3 - k**3.
3*(k + 2)**3
Suppose 8101 + 100*d - 30*d**5 - 135*d**2 - 16192 + 115*d**4 - 70*d**3 + 8111 = 0. Calculate d.
-1, -1/6, 1, 2
Let w(m) = -21*m**3 + 29*m**2 + 47*m - 16. Let z(j) = -5*j**3 + 7*j**2 + 11*j - 4. Let c(s) = -6*w(s) + 26*z(s). Suppose c(r) = 0. What is r?
-1, 1, 2
Let r = 9376/5935 + 24/1187. Find q such that r*q**2 - 4/5*q**3 + 0 + 0*q = 0.
0, 2
Let y be 12/(-160)*8 - -1. Find i, given that -14/5 - 16/5*i - y*i**2 = 0.
-7, -1
Let j(s) be the first derivative of -10*s**6/3 - 44*s**5 + 495*s**4/4 - 320*s**3/3 + 65*s**2/2 - 37. What is l in j(l