se -4*l - 5 = -b*z - 1, -l - 5*z = -22. Factor 2/5*r**4 + 32/5*r + 16/5*r**3 + 2 + 36/5*r**l.
2*(r + 1)**3*(r + 5)/5
Suppose -z + 18*r + 189 = 20*r, z - 189 = r. Let a = z - 187. Factor -1/2*l + 1/2*l**a + 0.
l*(l - 1)/2
Let g = -155 + 156. Let v(n) = n**4 + n**3 - n + 1. Let l(f) = -11*f**4 + f**3 + 16*f**2 - f + 5. Let r(u) = g*l(u) - 5*v(u). Factor r(q).
-4*q*(q - 1)*(q + 1)*(4*q + 1)
Let p(n) be the second derivative of -n**6/60 - 811*n**5/10 - 146070*n**4 - 314924756*n**3/3 + 633361684*n**2 + 8969*n. Factor p(g).
-(g - 2)*(g + 1082)**3/2
Let d(s) be the first derivative of 16/5*s**2 - 1/5*s**6 - 8/5*s**4 - 34/25*s**5 + 192 + 8/3*s**3 + 0*s. Solve d(x) = 0 for x.
-4, -2, -2/3, 0, 1
Let r(d) be the third derivative of -d**6/60 + 32*d**5/15 - 1085*d**4/12 + 1922*d**3/3 - 344*d**2. Solve r(x) = 0 for x.
2, 31
Determine d, given that -3/5*d**3 + 207*d + 81/5*d**2 + 555 = 0.
-5, 37
Factor 1/4*v**2 + 23/4*v - 259/2.
(v - 14)*(v + 37)/4
Let x(a) be the second derivative of -a**5/60 - 43*a**4/36 - 55*a**3/3 + 1646*a - 2. Suppose x(l) = 0. What is l?
-33, -10, 0
Suppose 0 = 1087*p - 672*p. Factor -27/2*m**2 - 15/2*m - 9/2*m**3 + p + 3/2*m**4.
3*m*(m - 5)*(m + 1)**2/2
Let d(h) = 3*h**2 - 34*h - 323. Let p(k) = -11*k**2 + 101*k + 969. Let z(m) = 7*d(m) + 2*p(m). Factor z(j).
-(j + 17)*(j + 19)
Let f(r) be the first derivative of -8*r**4/5 + 1136*r**3/15 - 165*r**2 + 612*r/5 - 2712. Suppose f(h) = 0. Calculate h.
3/4, 34
Let w(p) be the first derivative of -p**6/6 + 26*p**5/5 - 6*p**4 - 26*p**3/3 + 25*p**2/2 - 1630. Let w(s) = 0. Calculate s.
-1, 0, 1, 25
Let g be (3 + (-167)/3)*18*380/(-2736). Find b such that g*b - 90 + 5*b**2 = 0.
-27, 2/3
Let n(r) = -r**3 + r**2 + r. Suppose 6*b + 3 = 9. Let a(x) = -8*x**3 - 8*x**2 + 6*x. Let j(h) = b*a(h) - 2*n(h). Factor j(w).
-2*w*(w + 2)*(3*w - 1)
Let d be ((-64)/(-12) + -4)*741/494. Suppose 0 + 2/13*p**4 + 18/13*p**d + 8/13*p + 12/13*p**3 = 0. What is p?
-4, -1, 0
Let d(s) be the first derivative of 128 + 5/9*s**3 - 20*s - 10/3*s**2. Factor d(y).
5*(y - 6)*(y + 2)/3
Suppose -19 - 81 = -4*g. Factor -37*d + 14 + 11 + 7*d + g*d**2 + 160*d.
5*(d + 5)*(5*d + 1)
Determine q, given that -256/5*q + 3184/5*q**3 + 3048/5*q**2 - 38*q**4 - 198/5*q**5 - 128/5 = 0.
-4, -1, -2/11, 2/9, 4
Let u be (0 - 8/4) + 6 - (-1320)/(-600). Determine o, given that 3/5*o - 3/5*o**3 + 9/5*o**2 - u = 0.
-1, 1, 3
Let q(b) be the second derivative of -b**5/110 + 4*b**4/11 + 192*b**3/11 + 2560*b**2/11 - 441*b + 2. Factor q(o).
-2*(o - 40)*(o + 8)**2/11
Let l = -817/274 - -159813/18632. Let n = l - 76/17. Factor -3/2*y - 3/8*y**2 - n.
-3*(y + 1)*(y + 3)/8
What is f in 70/11*f**4 + 0 + 74/11*f**2 + 166/11*f**3 + 8/11*f**5 - 30/11*f = 0?
-5, -3, -1, 0, 1/4
Let x(k) be the second derivative of 0 + 106*k + 0*k**2 - 5/21*k**7 - 1/5*k**5 + 0*k**3 + 0*k**4 + 7/15*k**6. Determine s so that x(s) = 0.
0, 2/5, 1
Let o = 27/52834 + 30628627/29534206. Let z = -38/43 + o. Determine m, given that -2/13*m**3 + 2/13*m**2 + 2/13*m - z = 0.
-1, 1
Let g(s) = s**2 - 9*s - 6. Let u be g(-2). Determine p so that 6*p**5 - 8*p**4 - 12*p**3 + u*p**3 - 3*p**5 = 0.
0, 2/3, 2
Let n(f) be the third derivative of f**6/540 - 23*f**5/90 - f**4/108 + 23*f**3/9 + 1069*f**2. Factor n(p).
2*(p - 69)*(p - 1)*(p + 1)/9
Let q = -420774 + 14729566/35. Let m = q - 353/5. Suppose 1/7*v**2 + 0 - m*v = 0. Calculate v.
0, 1
Let y(t) = -4 - t**2 + t + 3 + 0*t**2. Let w(a) = -14*a**2 + 10*a. Let f = -6826 - -6827. Let u(p) = f*w(p) - 12*y(p). Factor u(g).
-2*(g - 2)*(g + 3)
Suppose 0 = -234*m + 160*m + 222. Let v(g) be the second derivative of -33*g + 0 - 1/6*g**4 + 2*g**m - 5*g**2. Determine h so that v(h) = 0.
1, 5
Suppose 298 + 402 = 7*l. Let d = l - 100. Determine q so that 2/7*q**2 + 4/7*q + d = 0.
-2, 0
Let a(s) be the second derivative of s**4/20 - 769*s**3/5 + 1774083*s**2/10 + 2805*s. Determine j, given that a(j) = 0.
769
Determine s so that -1/3*s**2 + 78 + 17/3*s = 0.
-9, 26
Let v = 290 - 173. Factor -3*n**3 - 127*n + 11*n**3 + v*n - 38*n**2.
2*n*(n - 5)*(4*n + 1)
Let d = 44 - 40. Solve 4901*v + 586*v**3 - 398*v**2 - 41*v**d - 2197 + v**5 - 2018*v**2 - 834*v**2 = 0 for v.
1, 13
What is d in -173228*d - 82*d**2 - 84 - 28*d**2 + 15*d**4 + 173492*d - 96*d**3 + 11*d**2 = 0?
-2, 2/5, 1, 7
Let a = -835/8 + 393269/3768. Let x = 928/3297 - a. Factor 8/7*h**2 - 8/7*h - x*h**3 + 0.
-2*h*(h - 2)**2/7
Let -46/5*r - 2*r**2 + 56/5 = 0. Calculate r.
-28/5, 1
Let c be 2/3*(0 - 6/(-2)). What is w in -w**3 - 2*w - 2*w**3 - 17 + 2*w**c + 15 + 5*w**3 = 0?
-1, 1
Let k(s) be the first derivative of -s**4/26 + 50*s**3/39 - 123*s**2/13 + 342*s/13 - 2042. Factor k(i).
-2*(i - 19)*(i - 3)**2/13
Suppose 0 = 786*x - 743*x - 86. Let d(m) be the first derivative of 0*m - 2/5*m**5 - 28 - 1/6*m**6 - x*m**2 + 3/4*m**4 + 4/3*m**3. Find k, given that d(k) = 0.
-2, 0, 1
Let z(h) = h**3 + 26*h**2 - 28*h - 25. Let x be z(-27). Factor 445*f**x - 424*f**2 + f**3 + 6*f - 16*f**3 - 12*f**4.
-3*f*(f - 1)*(f + 2)*(4*f + 1)
Let f(y) = y**3 + 6*y**2 - 14*y - 46. Let u be f(-7). Let r(a) be the second derivative of -3*a**2 - 3/2*a**u - 1/4*a**4 + 0 - 4*a. Solve r(m) = 0 for m.
-2, -1
Let c(b) be the second derivative of 2/9*b**4 + 0*b**2 + 0*b**3 + 1/90*b**5 + 0 + 184*b. Factor c(y).
2*y**2*(y + 12)/9
Let h be ((-6)/52)/(135342/10440 - 13). Let w = h + -34/13. Factor 2*l + 18/7*l**2 + w + 10/7*l**3 + 2/7*l**4.
2*(l + 1)**3*(l + 2)/7
Let z(w) be the second derivative of -w**4/24 + 79*w**3/4 - 235*w**2/2 - 7541*w. Suppose z(b) = 0. What is b?
2, 235
Let g(n) = -4*n - 34. Let x be g(-9). Solve -71*w**x + 224*w**4 - 27*w**3 - 144*w**3 + 36*w**5 + 15*w**2 - 33*w**3 = 0.
-7, -2/9, 0, 1
Let h be 4 + 588/(-24)*24/(-7). Let x be -24*222/h*19/(-57). What is r in x*r**2 + 360/11*r + 60/11*r**3 + 6/11*r**4 + 216/11 = 0?
-3, -2
Let x be ((-100)/(-18) - 6)*24*(1 + -4 + 2). Factor 0 + x*p**2 + 4/3*p**4 + 16/3*p + 20/3*p**3.
4*p*(p + 1)*(p + 2)**2/3
Let i(p) be the third derivative of -p**6/40 - 3*p**5/5 + 2*p**4 + 96*p**3 - 173*p**2 + 13. Determine k so that i(k) = 0.
-12, -4, 4
Let z(b) be the third derivative of -b**6/24 - 5*b**5/2 - 805*b**4/24 + 2*b**2 + 123*b. Factor z(i).
-5*i*(i + 7)*(i + 23)
Let r(p) = 2 - 33*p**3 - 3*p**2 + 13*p**2 + 0 + 2*p. Let v = 190 - 192. Let o(d) = 395*d**3 - 120*d**2 - 25*d - 25. Let g(a) = v*o(a) - 25*r(a). Factor g(b).
5*b**2*(7*b - 2)
Factor 394/5*m + 14/5*m**2 + 56/5.
2*(m + 28)*(7*m + 1)/5
Let q(i) be the third derivative of i**7/350 - 39*i**6/40 + 573*i**5/50 - 569*i**4/10 + 756*i**3/5 - i**2 + 648. Determine r so that q(r) = 0.
2, 189
Let t(l) be the third derivative of l**6/60 + 56*l**5/5 - 225*l**4/4 + 338*l**3/3 + 940*l**2. Determine r so that t(r) = 0.
-338, 1
What is b in 16/5*b**2 + 2/5*b**3 - 18/5*b + 0 = 0?
-9, 0, 1
Let a(c) be the third derivative of -c**5/30 + 337*c**4/6 - 113569*c**3/3 - 639*c**2. Determine v, given that a(v) = 0.
337
Let j(o) = -3*o**2 - 13*o + 1. Let r(h) = -5*h**2 - 17*h - 110. Let i(a) = -10*j(a) + 5*r(a). Factor i(b).
5*(b - 7)*(b + 16)
Let z be -2*(-15)/6*(-84)/(-70). Let n be 64/(-128) - (-11)/z. Factor 0*x**3 + 2/3*x + 0 - n*x**4 + 4/3*x**2 - 2/3*x**5.
-2*x*(x - 1)*(x + 1)**3/3
Let w = 3606 - 3606. Let z(a) be the first derivative of -2/17*a**2 + 2/51*a**3 - 20 + w*a. What is h in z(h) = 0?
0, 2
Let k(a) = 5*a + 113. Let p be k(-4). Let i = -277/3 + p. Factor -2*l**2 - 4*l + i*l**3 + 16/3.
2*(l - 4)*(l - 1)*(l + 2)/3
Let j(p) be the third derivative of p**5/450 - 34*p**4/45 + 268*p**3/45 + 238*p**2. Factor j(n).
2*(n - 134)*(n - 2)/15
Suppose 0 = -0*h - 7*h + 112. Suppose 15*j = 20*j - 10. Let -118*p**2 + 118*p**j + 12*p**3 - h*p + 4*p**4 = 0. Calculate p.
-2, 0, 1
Let r(f) = f**2 - f + 25. Let g(a) = -a**2 - a - 18. Let l(p) = 5*g(p) + 4*r(p). What is o in l(o) = 0?
-10, 1
Suppose 9/7*r**2 - 3/7*r - 9/7 + 3/7*r**3 = 0. Calculate r.
-3, -1, 1
Let r = -314 + 587. Let y = r - 1905/7. Solve 6/7*t**4 - 4/7*t**3 - 4/7*t**2 + y*t - 2/7*t**5 - 2/7 = 0.
-1, 1
Suppose 189 = -2*w + 9*w. Let k = 63 - w. Let -20*u**3 + u**3 + 3*u**2 + 10*u**3 + k*u - 12 + 0*u**2 = 0. Calculate u.
-2, 1/3, 2
Suppose 5*s = 6*s - 12. Suppose 3*p - s = -l, -p + 2*l + 1 = -3. Factor 10*a**3 + 5*a**p - 5*a**5 + 10*a**2 + 5*a**3 - 5*a**4.
-5*a**2*(a - 2)*(a + 1)**2
Let i(c) = -5*c**2 - 9*c + 24.