(u).
-5*u*(u - 1)*(u + 1)/4
Suppose -308*l + 9 = -299*l. Suppose 2*u + l = 5*a - 10, -4*a = -5*u - 2. Let 2*h**4 - 1/4*h - h**3 + 5/4*h**5 - 5/2*h**u + 1/2 = 0. Calculate h.
-1, 2/5, 1
Let r(m) be the first derivative of -36*m - 1/2*m**4 + 168 + 25*m**2 - 4*m**3. Factor r(a).
-2*(a - 2)*(a - 1)*(a + 9)
Solve 116/7*w - 432/7 - 2/7*w**2 = 0.
4, 54
Let u = -514898 + 514901. Factor 1/2*n + 1/4*n**4 + 0*n**u + 0 - 3/4*n**2.
n*(n - 1)**2*(n + 2)/4
Let g(u) = -19*u**2 + 2365*u + 790. Let i(y) = 210*y**2 - 26015*y - 8690. Let c(n) = -45*g(n) - 4*i(n). Factor c(q).
5*(q - 158)*(3*q + 1)
Let c = 62 - 59. Suppose c*g - 39 = -30. Factor -3*q**5 - 8*q**4 + 0*q**3 + 6*q**g + 11*q**4.
-3*q**3*(q - 2)*(q + 1)
Factor 338/17*k**2 + 14820/17*k + 162450/17.
2*(13*k + 285)**2/17
Let c(a) be the third derivative of 0*a**3 + 1/5*a**6 - 1/20*a**5 - a**4 + 1/70*a**7 + 0*a + 0 + 230*a**2. Factor c(w).
3*w*(w - 1)*(w + 1)*(w + 8)
Let p = -1513 + 1531. Let b be 1978/1935 + (-4)/p. Factor 2/5*z**2 + 2/5*z**4 + 0 + 0*z + b*z**3.
2*z**2*(z + 1)**2/5
Let p(z) be the second derivative of z**8/6720 + z**7/504 - z**6/120 + 22*z**4/3 + 13*z - 3. Let j(v) be the third derivative of p(v). Solve j(x) = 0 for x.
-6, 0, 1
Suppose 40*o - 36*o + 38 = d, -4*d - o = -67. Let n(g) be the second derivative of -5/11*g**2 + d*g + 1/66*g**4 + 0 - 4/33*g**3. Factor n(r).
2*(r - 5)*(r + 1)/11
Solve -1519*i**4 - 4840*i**2 + 3691*i**3 + 1514*i**4 - 3056*i**3 + 9520*i = 0 for i.
0, 4, 119
Let j = -9352/235 - -119984/1645. Factor j*a - 6728/7 - 2/7*a**2.
-2*(a - 58)**2/7
Let i(f) be the third derivative of 0 - 1/960*f**6 - 204*f**2 + 0*f**3 + 0*f - 1/480*f**5 + 0*f**4 + 1/840*f**7. Factor i(c).
c**2*(c - 1)*(2*c + 1)/8
Let v = -162 + 165. Let -12 - 3*g**5 + 21*g**2 + 2*g**v - 2399*g**4 + g**3 + 2390*g**4 = 0. Calculate g.
-2, -1, 1
Suppose -2*g - 5*r = 11, 3*g - 5*g = -5*r - 19. Let p = 46645/61964 - 43/15491. Factor 0 + 1/4*c**5 + 3/4*c**4 - 7/4*c**g - p*c**3 + 3/2*c.
c*(c - 1)**2*(c + 2)*(c + 3)/4
Let k(p) be the third derivative of p**6/630 + p**5/70 + p**4/21 - 103*p**3/6 - 149*p**2. Let a(s) be the first derivative of k(s). Factor a(w).
4*(w + 1)*(w + 2)/7
Factor 56*f**2 - 60*f - 2*f**3 + 274*f**2 + 60*f.
-2*f**2*(f - 165)
Let q(i) = i**3 - 105*i**2 + 594*i + 19. Let v be q(99). Let y(a) be the first derivative of v + 2/21*a**3 + 2/7*a**2 - 6/7*a. Factor y(f).
2*(f - 1)*(f + 3)/7
Let h(s) = -6*s + 12. Let f be h(1). Factor -4*a**3 - 8*a**2 + f*a + 0*a**2 + 14*a + 46 - 22.
-4*(a - 2)*(a + 1)*(a + 3)
Suppose -3*r + 5*d = 4*d - 31, -4*d = -2*r + 24. Solve -8*k**2 + 6 + 2 + r*k**3 - 2*k - 8*k**3 = 0.
-1, 1, 4
Let a(y) be the third derivative of 5*y**8/336 - y**7/42 - y**6/6 + y**5/3 - 7*y**2 - 45*y. Factor a(o).
5*o**2*(o - 2)*(o - 1)*(o + 2)
Let o(s) be the third derivative of 3/4*s**3 + 7/96*s**4 + 0 - 1/240*s**5 + 0*s + 114*s**2. Factor o(b).
-(b - 9)*(b + 2)/4
Let d be ((-8)/6)/((-252386)/(-50478) + -5). What is n in n**4 - 16826 - n**2 + 0*n**4 + d = 0?
-1, 0, 1
Find u such that -4*u**3 + 8167 + 276*u**2 - 15751*u - 23719 + 11431*u = 0.
-3, 36
Let u be 270/42 + -6 + 92270/31794. Let q = u + 2/757. Factor -2/3*i**2 + 4 - q*i.
-2*(i - 1)*(i + 6)/3
Let d(t) = 176*t - 203. Let f be d(6). Factor 2*h - f - 15*h + 867 - h**2.
-(h - 1)*(h + 14)
Let w = 91 + -94. Let a(x) = -2*x**3 + 7*x**2 - 27*x + 3. Let i(z) = 5*z**3 - 13*z**2 + 55*z - 7. Let d(l) = w*i(l) - 7*a(l). Determine k so that d(k) = 0.
-12, 0, 2
Let w(d) = 4*d**3 - 6*d**2 + 5*d - 1. Let v(r) = -2*r**2 - r + 1. Let o = 110 + -109. Let p(u) = o*w(u) + v(u). Solve p(h) = 0 for h.
0, 1
Factor 6850/3*n + 12500 + 2/15*n**3 + 512/15*n**2.
2*(n + 6)*(n + 125)**2/15
What is w in -74/3*w - 26 - 16/3*w**2 = 0?
-3, -13/8
Let c be (32/(-12) + 2)*3 + 3 + 4. Let g(y) be the first derivative of 9 - c*y**4 + 0*y**2 + 12/5*y**5 + 0*y + 8/3*y**3. Factor g(w).
4*w**2*(w - 1)*(3*w - 2)
Let k(i) be the first derivative of -i**6/6 + 3*i**5/4 - 5*i**4/6 + 8*i - 72. Let a(o) be the first derivative of k(o). Factor a(h).
-5*h**2*(h - 2)*(h - 1)
Let t be (-32)/(-8) - (-20 + (-1363)/(-58)). Factor 289/2 + t*m**2 - 17*m.
(m - 17)**2/2
Let k(z) be the first derivative of -z**4/4 - 46*z**3/3 + z**2/2 + 46*z - 24. Suppose k(t) = 0. What is t?
-46, -1, 1
Let f(u) = 3*u**2 + u - 2. Let b(m) = 2*m**2 - 7*m + 238. Let g(k) = -4*b(k) + 4*f(k). Let g(w) = 0. What is w?
-20, 12
Let s(h) be the third derivative of 5*h**2 + 1/180*h**6 + 0 - 2/45*h**5 - h - 2/9*h**3 + 5/36*h**4. Suppose s(n) = 0. What is n?
1, 2
Determine l so that -5/4*l - 1/2*l**4 + 2*l**2 + 3/2*l**3 - 1/4*l**5 - 3/2 = 0.
-3, -1, 1, 2
Let j(z) be the third derivative of 1/840*z**8 - 2/15*z**4 - 4/525*z**7 + 0*z**3 - 98*z**2 + 0 + 0*z - 1/100*z**6 + 7/75*z**5. Determine m, given that j(m) = 0.
-2, 0, 1, 4
Suppose -i + 3 = -2. Let v(q) = -5*q**2 + 20*q + 10. Let w(j) = -5*j**2 + 21*j + 8. Let m(o) = i*w(o) - 4*v(o). Find s such that m(s) = 0.
0, 5
Suppose 3*t = 3*p, 13*t = 2*p + 9*t + 8. Suppose 0 = 4*l - 8, -p = 3*s - 0*l - 2*l. Factor s + 3/7*g - 3/7*g**3 - 3/7*g**4 + 3/7*g**2.
-3*g*(g - 1)*(g + 1)**2/7
Factor -4/3*r**3 - 190/9*r - 202/9*r**2 + 0.
-2*r*(r + 1)*(6*r + 95)/9
Factor 6*m - 5*m**3 + 8*m + 69*m**2 - 15*m**2 + 41*m + 4*m**3.
-m*(m - 55)*(m + 1)
Suppose -116*i + 415 = 67. Let l(v) be the third derivative of 1/36*v**4 + 0*v - 4*v**2 - 1/45*v**5 - 1/180*v**6 + 2/9*v**i + 0. Factor l(o).
-2*(o - 1)*(o + 1)*(o + 2)/3
Let y(r) be the second derivative of -5*r**4/12 + 7265*r**3/3 - 10556045*r**2/2 + 2805*r. Factor y(g).
-5*(g - 1453)**2
Let n(w) = -12*w**2 - 31200*w - 60808812. Let t(l) = -14*l**2 - 31202*l - 60808814. Let v(h) = -5*n(h) + 4*t(h). Factor v(i).
4*(i + 3899)**2
Let f(x) be the second derivative of -9*x**2 + 3/2*x**4 - 10 - 1/20*x**5 + 1/6*x**3 - 2*x. Solve f(q) = 0.
-1, 1, 18
Suppose -213*w - 70 = -248*w. Find n such that 3/5*n**w + 0 + 21/5*n = 0.
-7, 0
Factor -152100 + 97*j**3 - 48718*j + 4164*j - 71*j**3 - 784*j**2 - 28*j**3 - 33056*j.
-2*(j + 2)*(j + 195)**2
What is x in -104/7*x + 26*x**2 - 66/7*x**3 + 8/7 = 0?
1/11, 2/3, 2
Solve -147*w + 618 - 139*w + w**2 + w**2 - 308*w - 26*w = 0 for w.
1, 309
Suppose 5*o + 4*g + 0*g = 1898, -5*g - 1880 = -5*o. Let n be 84/o - 4*(-87)/378. Factor n*m**2 + 0 + 0*m + 2/7*m**3.
2*m**2*(m + 4)/7
Let x(t) be the second derivative of -t**5/35 + 5*t**4/3 + 2*t**3/21 - 10*t**2 + 154*t - 1. Factor x(g).
-4*(g - 35)*(g - 1)*(g + 1)/7
Let s(z) be the second derivative of z**5/40 + 5*z**4/8 + 14*z**3/3 + 48*z + 2. Solve s(n) = 0 for n.
-8, -7, 0
Let x(u) = 12*u**5 + 8*u**4 + 34*u**3 - 13*u**2 - 46*u - 28. Let t(m) = -m**5 + m**4 + m**2 + m + 1. Let k(a) = -22*t(a) - 2*x(a). Factor k(w).
-2*(w - 1)*(w + 1)**3*(w + 17)
Let w(j) be the first derivative of j**6/90 + j**5 + 29*j**4/6 + 2*j**3/3 - 6. Let g(n) be the third derivative of w(n). Suppose g(u) = 0. Calculate u.
-29, -1
Let x be 1 + 33*(-1)/(-3). Let r = -9 + x. Factor -7*q**3 + 6*q**2 + 2*q**r + 3*q**4 - 4*q**3.
3*q**2*(q - 2)*(q - 1)
Let m = 53352 + -53348. Factor -10/23*c**2 + 8/23*c**3 + 4/23*c - 2/23*c**m + 0.
-2*c*(c - 2)*(c - 1)**2/23
Let w(q) = 81*q**4 + 6975*q**3 + 13872*q**2 + 6879*q. Let u(f) = 5*f**4 + 436*f**3 + 867*f**2 + 430*f. Let x(b) = -33*u(b) + 2*w(b). Factor x(m).
-3*m*(m + 1)**2*(m + 144)
Suppose 12 = t - 5. Suppose -51*y**2 - t*y**2 - 50*y + 15*y**3 + 13*y**2 + 110*y - 20 = 0. Calculate y.
2/3, 1, 2
Let w(u) be the first derivative of u**4/36 - 1085*u**3/9 + 1177225*u**2/6 - 1277289125*u/9 - 2496. Factor w(v).
(v - 1085)**3/9
Let l(i) be the third derivative of -i**6/72 - i**5/3 + 79*i**3/6 + 67*i**2. Let u(z) be the first derivative of l(z). Factor u(d).
-5*d*(d + 8)
Factor -2/11*p**3 + 4/11*p**2 + 2/11*p - 4/11.
-2*(p - 2)*(p - 1)*(p + 1)/11
Let h be ((1 + (-21)/(-24))*4)/(630/420). Factor 0*w - 3/10*w**3 + 0 - 1/10*w**h - 3/10*w**4 - 1/10*w**2.
-w**2*(w + 1)**3/10
Suppose 3*u = 28 - 16. Solve -2 - 28 + 64*a + u*a**3 - 3 - 15 - 28*a**2 = 0.
2, 3
Let g(b) be the second derivative of -b**5/50 + 47*b**4/30 - 46*b**3/15 - 3395*b. Factor g(s).
-2*s*(s - 46)*(s - 1)/5
Let m(p) be the second derivative of -p**4/6 - 52*p**3/3 - 1363*p**2/2 + 53*p. Let w(i) = -i**2 - 52*i - 682. Let u(z) = -6*m(z) + 11*w(z). Factor u(q).
(q + 26)**2
Let c(y) = y**2 + 57*y - 244. Let i be c(-61). Let q(t) b