0 - 3/7*v**3 - 4/7*v**2 + 4/7*v + 2/7*v**4 = 0. Calculate v.
-2, 0, 1
Factor -242/7 + 198/7*x + 6*x**2 + 2/7*x**3.
2*(x - 1)*(x + 11)**2/7
Let p(c) = -c**3 - 3*c**2 - 4*c - 2. Let v be p(-2). What is d in -4 + 3*d**2 - d**2 + 3*d**3 + 5*d**v = 0?
-2, -1, 2/3
Factor -19*b + 2*b + 9*b + 3*b**3 + 4*b + 6*b**2 + 7*b.
3*b*(b + 1)**2
Let r = 45/98 - -649/294. Factor -8/3*k - r + 2*k**2.
2*(k - 2)*(3*k + 2)/3
Let n(c) be the first derivative of 1/27*c**6 + 8/27*c**3 + 1/9*c**2 + 8/45*c**5 + 1/3*c**4 + 0*c - 9. Factor n(s).
2*s*(s + 1)**4/9
Let h(l) be the first derivative of 5*l**8/336 + l**7/42 - l**6/24 - l**5/12 - 16*l**2 + 26. Let f(i) be the second derivative of h(i). Factor f(k).
5*k**2*(k - 1)*(k + 1)**2
Let p(r) be the first derivative of r**3/6 - 11*r**2/2 - 76. Let p(c) = 0. Calculate c.
0, 22
Suppose 3*x = -x + x. Determine i so that x*i - 5*i + 2*i**2 + 13*i - 10 = 0.
-5, 1
Let -497*h**4 - 22*h**3 + 4 + 14*h**2 + 502*h**4 - 20*h + 19*h**2 = 0. What is h?
2/5, 1, 2
Suppose -2 = 4*z - 2*c, -6*z + 2*z = -5*c + 17. Let d = 83 + -80. Find l, given that -7*l**3 + 5*l**4 + 4*l**5 + 4*l + 8 - 16*l**z - l**3 + d*l**4 = 0.
-2, -1, 1
Determine y, given that 2*y**4 + 2/3*y**5 - 6 + 14*y - 20/3*y**2 - 4*y**3 = 0.
-3, 1
Solve 2 - 1/4*k**3 + k - 1/2*k**2 = 0.
-2, 2
Determine j so that -185/2*j**2 - 5/2*j**3 - 7875/2 - 2175/2*j = 0.
-15, -7
Let f(y) = 41*y - 8. Let v be f(1). Factor -v*z - 5*z**3 - 30*z - 13*z + 96*z.
-5*z*(z - 2)*(z + 2)
Let u be 1/(-3)*0 + (-435)/(-2). Let p = u + -213. Suppose 3*h**4 - 3/4*h + 3*h**3 + 3/2 - p*h**2 - 9/4*h**5 = 0. What is h?
-1, -2/3, 1
Suppose -2*x + 7*i = 2*i - 190, -3*x = i - 285. Let c = 95 - x. Factor c*q**2 + 1/4 - 1/2*q - 1/4*q**4 + 1/2*q**3.
-(q - 1)**3*(q + 1)/4
Let o(i) be the second derivative of i**6/15 - 4*i**5/5 + 5*i**4/2 - 3*i + 12. Factor o(j).
2*j**2*(j - 5)*(j - 3)
Let q(f) be the second derivative of -7/36*f**4 + 39*f - 3/20*f**5 + 1/45*f**6 + 0 + 5/6*f**2 + 1/2*f**3. What is d in q(d) = 0?
-1, -1/2, 1, 5
Let t(b) = -28*b**4 + 72*b**3 + 52*b**2 - 80*b - 24. Let o(g) = 28*g**4 - 70*g**3 - 52*g**2 + 82*g + 24. Let j(p) = -2*o(p) - 3*t(p). Let j(z) = 0. What is z?
-1, -2/7, 1, 3
Suppose -8*a - 18 = a. Let n(s) = -s**3 + s**2 - s. Let r(t) = 2*t**4 - 2*t**3 - 10*t**2 + 14*t - 6. Let h(u) = a*n(u) + r(u). Let h(f) = 0. Calculate f.
-3, 1
Factor -3/2*n**2 - 9 - 15/2*n.
-3*(n + 2)*(n + 3)/2
Let z(r) = -2*r**4 + 2*r**3 + r**2 + r - 1. Let x(w) = 13*w**4 - 15*w**3 - 6*w + 1. Let a(o) = -3*x(o) - 21*z(o). Let a(v) = 0. What is v?
-3, -1, 1, 2
Let p(i) be the first derivative of 0*i**2 + 3/32*i**4 - 1/4*i**3 + 0*i + 20. Suppose p(k) = 0. What is k?
0, 2
Let h = 2/437 - -856/3933. Let a be 4*1 + (-7 - 5) + 8. Factor h*x**2 + 2/3*x**4 + 0 - 2/9*x**5 + a*x - 2/3*x**3.
-2*x**2*(x - 1)**3/9
Let y(f) be the third derivative of 1/220*f**6 - 15*f**2 + 1/110*f**5 + 0*f + 0 - 1/44*f**4 - 1/11*f**3. Factor y(d).
6*(d - 1)*(d + 1)**2/11
Solve -180*x - 45 - 7*x**2 + 235*x**4 - 54 - 235*x**5 + 260*x**5 - 81 + 575*x**3 + 372*x**2 = 0 for x.
-6, -2, -1, 3/5
Let w be 8/(-2) + -12*((-45)/40)/3. Factor -w - 7/4*s - 1/2*s**2 + 3/4*s**3.
(s - 2)*(s + 1)*(3*s + 1)/4
Solve -92/7*u**3 - 4/7*u**4 + 660/7*u**2 - 1044/7*u + 0 = 0 for u.
-29, 0, 3
Let f = -341 - -343. Let y(z) be the third derivative of 1/156*z**6 + 0*z**4 + 1/195*z**5 + 4*z**f + 0 + 0*z**3 + 0*z. Factor y(g).
2*g**2*(5*g + 2)/13
Suppose 0 = -8*r - 645 + 661. Find j, given that r*j**2 - 7/4*j - 1/4*j**3 + 0 = 0.
0, 1, 7
Let n(d) = 30*d**2 + 18*d - 10. Let m(h) = -h + 13. Let c be m(20). Let l(x) = -91*x**2 - 53*x + 31. Let a(j) = c*n(j) - 2*l(j). Factor a(v).
-4*(v + 1)*(7*v - 2)
Let j = 121 - 118. Let w(h) be the second derivative of -3*h + 2/45*h**6 + 0 + 0*h**2 + 0*h**j + 1/36*h**4 + 1/12*h**5. Factor w(t).
t**2*(t + 1)*(4*t + 1)/3
Suppose 0 + 36/7*j + 24/7*j**2 + 3/7*j**3 = 0. What is j?
-6, -2, 0
Let i(k) = -k**2 - 48*k - 380. Let r be i(-38). Factor r*j**2 + 0 - 1/3*j + 1/3*j**3.
j*(j - 1)*(j + 1)/3
Suppose -10*s = 9*s - 76. Let k(t) be the second derivative of 4*t + 1/66*t**s + 1/110*t**5 + 0 + 0*t**2 + 0*t**3. Determine a so that k(a) = 0.
-1, 0
Let g(c) be the first derivative of 10 + 4/5*c**5 + 17/3*c**4 + 46/3*c**2 + 8*c + 124/9*c**3. Solve g(d) = 0.
-3, -1, -2/3
Let p(n) = -50*n**3 - 60*n**2 - 22*n - 28. Let w(o) = -16*o**3 - 20*o**2 - 8*o - 9. Let y(k) = 5*p(k) - 16*w(k). Factor y(t).
2*(t + 1)*(t + 2)*(3*t + 1)
Suppose -8 = -4*c + 3*u, -u - 7 = -3*c + u. Let i be (8 - c)*(-2 - -3). Let -w - 37*w**3 + i - 3*w**2 - 2*w + 40*w**3 = 0. Calculate w.
-1, 1
Let 0 + 0*q**3 + 4/19*q**4 - 2/19*q**5 - 4/19*q**2 + 2/19*q = 0. Calculate q.
-1, 0, 1
Let b = -1052 - -1054. Let o(m) be the third derivative of 0 + 0*m - 1/15*m**5 + 4/3*m**4 - 32/3*m**3 - 9*m**b. Factor o(f).
-4*(f - 4)**2
Let v = -157 + 786/5. Let t(m) be the second derivative of -4*m + 0 + 9/20*m**5 + 0*m**2 - v*m**6 - 1/4*m**4 + 0*m**3. Determine i, given that t(i) = 0.
0, 1/2, 1
Let n(d) be the third derivative of -d**7/1680 + d**5/240 - 31*d**3/6 + 7*d**2. Let k(u) be the first derivative of n(u). Suppose k(z) = 0. Calculate z.
-1, 0, 1
Suppose 0 = 18*d - 2*d - 128. Determine u, given that 15*u**2 + 0*u**3 - 3*u**3 + 206*u - 191*u + 5 + d*u**3 = 0.
-1
Factor -5*c - 13 - 6*c - c**2 - 3*c + 0*c.
-(c + 1)*(c + 13)
Let u be (-3 - 3345/(-477)) + -4. Let l = u - -292/2067. Factor -l*j - 2/13*j**2 + 4/13.
-2*(j - 1)*(j + 2)/13
Let l(h) be the first derivative of 6 - 13/9*h**3 - 4/3*h - 1/15*h**5 - 2*h**2 - 1/2*h**4. Factor l(c).
-(c + 1)**2*(c + 2)**2/3
Let g(y) be the third derivative of -2*y**2 - 1/270*y**6 + 1/6*y**4 + 0 + 0*y + 1/45*y**5 + 5/3*y**3. Let j(z) be the first derivative of g(z). Factor j(c).
-4*(c - 3)*(c + 1)/3
Let j(y) be the third derivative of -1/20*y**5 + 0*y - 3/2*y**3 + 20*y**2 - 1/2*y**4 + 0. Factor j(c).
-3*(c + 1)*(c + 3)
Let n be 2/11 - (-574)/(-11). Let d be (15/(180/(-16)))/(n/6). Factor -4/13*r**2 + 18/13 + 8/13*r**3 + d*r**4 - 24/13*r.
2*(r - 1)**2*(r + 3)**2/13
Let r(b) be the first derivative of 768*b - 384*b**2 + 3/5*b**5 - 12*b**4 - 6 + 96*b**3. Factor r(z).
3*(z - 4)**4
Factor 0 - 25/4*d**2 + 0*d + 5*d**3.
5*d**2*(4*d - 5)/4
Let y(s) be the first derivative of -s**6/195 + 4*s**5/65 - 4*s**4/13 + 32*s**3/39 - 16*s**2/13 - s - 9. Let x(u) be the first derivative of y(u). Factor x(c).
-2*(c - 2)**4/13
Let w(m) be the second derivative of -m**7/126 + 4*m**6/45 - 4*m**5/15 - m**4/2 + 9*m**3/2 - 9*m**2 + 141*m + 2. Solve w(x) = 0.
-2, 1, 3
Suppose -13*f + 62 - 23 = 0. Let t be (-12)/(1/(f/10)) + 4. Determine x so that 2/5*x - 2/5*x**2 + t - 2/5*x**3 = 0.
-1, 1
Let m(x) be the first derivative of -2*x**7/105 + 7*x**6/15 - 4*x**5 + 12*x**4 - 47*x**2/2 - 45. Let z(f) be the second derivative of m(f). Factor z(o).
-4*o*(o - 6)**2*(o - 2)
Let w be 4 - 3/(-30)*46. Let k = w + -39/5. Factor 0 - 2/5*n**2 + k*n.
-2*n*(n - 2)/5
Let -1/8*q**2 + 225/8 - 1/8*q**3 + 65/8*q = 0. What is q?
-5, 9
Let v = 86 + -74. Let x be (-3)/v + (-133)/(-84). Determine l, given that 0 + x*l**2 - 4/3*l**4 + 2/3*l - 2/3*l**5 + 0*l**3 = 0.
-1, 0, 1
Let q be (-2)/14 - (-762)/42. Factor 2*g - 5 + 21 + 4 + 5*g**2 + q*g.
5*(g + 2)**2
Let b(i) = -i**2 + 13*i - 21. Let p be b(10). Factor r**4 - 3 + 24*r - p*r - 8*r - 6*r**2 - 15*r.
(r - 3)*(r + 1)**3
Factor 10 + 32/3*c + 2/3*c**2.
2*(c + 1)*(c + 15)/3
Let x(w) be the third derivative of -w**6/600 + w**5/150 + w**4/40 - 62*w**2. Factor x(d).
-d*(d - 3)*(d + 1)/5
Let z(p) = 30*p**4 - 10*p**3 - 145*p**2 - 130*p - 40. Let b(f) = -31*f**4 + 9*f**3 + 147*f**2 + 131*f + 42. Let o(l) = -5*b(l) - 6*z(l). Solve o(g) = 0.
-1, -2/5, 3
Let m be (-11 + 445/40)*1 + (-6)/(-16). Factor 1/2*v**4 - 1/2*v + 1/2*v**3 - m*v**2 + 0.
v*(v - 1)*(v + 1)**2/2
Let z = -1549/10 - -155. Let o(t) be the third derivative of 2*t**2 + 1/10*t**6 - 1/2*t**4 + 0*t - 1/2*t**3 + 3/70*t**7 - z*t**5 + 0. Let o(j) = 0. What is j?
-1, -1/3, 1
Let q(v) = -v + 10. Let x be q(8). Find j such that -5*j**2 + x*j**4 - j + j**4 - 2*j + 2*j**2 + 3*j**3 = 0.
-1, 0, 1
Let a(g) be the first derivative of 0*g + 3*g**2 - 33 - 3/4*g**4 - 9/5*g**5 + 3*g**3 - 1/2*g**6. Find k such that a(k) = 0.
-2, -1, 0, 1
Let i(w) be the third derivative of -w**5/180 + 77*w**4/36 - 5929*w**3/18 - 40*w**2. Suppose i(p) = 0. What is p?
