m**3 - 17*m**2 + 16*m + 4. Let d be l(16). Factor 95*n**3 + 35*n**d + 69*n - 7*n**5 + 5*n**5 + 7*n**5 + 20 + 11*n + 125*n**2.
5*(n + 1)**3*(n + 2)**2
Let o(p) = -p**2 + p. Let y(s) = 6*s**3 - 48*s**2 + 84*s - 30. Let l(c) = -3*o(c) + y(c). Find z such that l(z) = 0.
1/2, 2, 5
Solve 69169/2 + 263/2*h + 1/8*h**2 = 0.
-526
Let b(y) = 2*y**4 - 5*y**3 - y**2 + 2*y - 1. Let q(k) = -k**5 - 37*k**4 - 38*k**3 - 38*k**2 - 12*k + 6. Let h(u) = 6*b(u) + q(u). Suppose h(a) = 0. Calculate a.
-22, -2, -1, 0
Let k(d) = -d**3 + d**2 - 3*d - 2. Suppose 5*n + 5 = -5*i, -10 = -n + 4*n - 4*i. Let m be k(n). Determine u, given that 13*u**3 - 25*u**3 + m*u**3 = 0.
0
Let s(g) be the first derivative of 2*g**6/3 - 48*g**5/5 + 30*g**4 - 112*g**3/3 + 18*g**2 - 192. Factor s(z).
4*z*(z - 9)*(z - 1)**3
Let a(i) = i - 25. Let y be a(14). Let b = -9 - y. Let -b - 2*z**2 - 3 + 4 + 6*z - 3 = 0. Calculate z.
1, 2
Determine y so that -1/5*y**2 - 23/5 - 24/5*y = 0.
-23, -1
Suppose 0 = -0*o + o + 14. Let h = 22 + o. Factor 3 + 1 - 11*v**2 - h*v**2 + 15*v**2.
-4*(v - 1)*(v + 1)
Let r(p) be the first derivative of -p**4/4 - p**3 + 36*p**2 + 324*p - 1316. Find f, given that r(f) = 0.
-6, 9
Let a(l) be the third derivative of l**6/60 + 379*l**5/6 + 898703*l**4/12 + 896809*l**3/3 - 711*l**2 - 6. Factor a(s).
2*(s + 1)*(s + 947)**2
Let n = -136 - -213. Let s = -75 + n. Factor -5/3*u**3 + 5 + 5/3*u - 5*u**s.
-5*(u - 1)*(u + 1)*(u + 3)/3
Let z(o) be the first derivative of -13*o**5/30 + 19*o**4/9 + 4*o**3/9 + 285*o**2/2 + 315. Let h(l) be the second derivative of z(l). Factor h(a).
-2*(a - 2)*(39*a + 2)/3
Let z be (-1 + 0)*(-3)/12*0. Suppose -4*x + z*x = h - 14, -x = 5*h - 32. Factor -4*o**2 - 2*o**4 + o**5 + h*o**2 + o**3 - 2*o**3.
o**2*(o - 2)*(o - 1)*(o + 1)
Let o(p) be the first derivative of 0*p - 1/8*p**4 - 11/12*p**3 + 3/4*p**2 - 96. Suppose o(g) = 0. Calculate g.
-6, 0, 1/2
Let k(g) be the second derivative of g**7/504 - g**6 + 216*g**5 + 127*g**4/12 - g**3/6 + 50*g - 3. Let y(l) be the third derivative of k(l). Factor y(q).
5*(q - 72)**2
Let q(h) = -19*h**2 + 65*h + 121. Let r(g) = 15*g**2 - 64*g - 120. Let d(p) = -4*q(p) - 5*r(p). Solve d(o) = 0 for o.
-58, -2
Let d be (-6)/(-9) - 25200/(-1512). Factor 62/3*w - 2/3*w**5 - 16/3 + d*w**3 - 8/3*w**4 - 88/3*w**2.
-2*(w - 1)**4*(w + 8)/3
Let x = 73675 - 663017/9. Find l such that -2/3*l**2 + x + 172/9*l = 0.
-1/3, 29
Let k(m) be the first derivative of -3*m**4/4 + 44*m**3 - 129*m**2/2 - 847. Factor k(g).
-3*g*(g - 43)*(g - 1)
Suppose 37*x = 32*x + 35. Let z(p) = p**2 - 5*p - 12. Let n be z(x). Factor 3*s - 2 + 4*s**2 - s**n + 2*s**2 - 6*s**2.
-(s - 2)*(s - 1)
Let d = -2146/11 + 19325/99. Let o(u) be the third derivative of 0 - u**2 + 0*u + d*u**3 + 1/30*u**5 + 1/180*u**6 + 1/12*u**4. Factor o(q).
2*(q + 1)**3/3
Let f(k) be the third derivative of -k**7/70 + 31*k**6/40 + 251*k**5/20 + 561*k**4/8 + 171*k**3 - k**2 - 163. Find z, given that f(z) = 0.
-3, -1, 38
Let c be (-11*(-2)/(-8))/((-10)/1320). Suppose c = 4*n + 7*n. Factor 193*h - 156*h**2 + 8 - 56 - n*h + 36*h**3.
4*(h - 3)*(3*h - 2)**2
Let z(d) be the first derivative of -d**4/4 + 100*d**3/3 - 569*d**2/2 - 676*d + 67. Let o(x) = 100*x**2 - 568*x - 676. Let b(k) = 3*o(k) - 4*z(k). Factor b(i).
4*(i - 13)**2*(i + 1)
Suppose 68*d + 19/2*d**4 + 6 + 221/2*d**2 + 58*d**3 = 0. What is d?
-3, -2, -1, -2/19
Suppose -201*g + 511 + 366 - 274 = 0. Let o(p) be the first derivative of 1/5*p**g + 18 + 0*p + 0*p**2. What is w in o(w) = 0?
0
Let x(d) be the third derivative of 0 + 179*d**2 + 8/3*d**3 + 0*d - 1/30*d**5 - 1/6*d**4. Factor x(c).
-2*(c - 2)*(c + 4)
Let y = -506909 - -1520732/3. Suppose -1/6*o**2 - 4 + y*o = 0. Calculate o.
4, 6
Let w(y) = -12*y**3 - 215*y**2 + 463*y - 5. Let a(l) = -9*l**3 - 220*l**2 + 464*l - 4. Let m(d) = 5*a(d) - 4*w(d). Suppose m(k) = 0. Calculate k.
0, 2, 78
Let u be -5 - 0 - -2 - 1676/5. Let x = 339 + u. Factor -x*f + 0 - 33*f**3 - 121/5*f**4 - 48/5*f**2.
-f*(f + 1)*(11*f + 2)**2/5
Let l(k) = -k**2 - 26*k - 146. Let g = -100 + 146. Let t(y) = 3*y**2 + 731 + g*y + 2*y**2 + 85*y. Let v(f) = 11*l(f) + 2*t(f). Let v(s) = 0. What is s?
-12
Let a be (22/(-30))/(3316/(-24870)). Factor 0 - a*y**2 - 7*y**3 - y.
-y*(2*y + 1)*(7*y + 2)/2
Factor -55 + 38920*l**2 + 5 - 38925*l**2 + 35*l.
-5*(l - 5)*(l - 2)
Let p(g) = 3*g**3 - 13*g**2 - 16*g + 39. Let s be p(5). Let r(w) be the first derivative of s + 0*w + w**3 - 9/4*w**2. Factor r(c).
3*c*(2*c - 3)/2
Let l(f) be the second derivative of -125*f**4/12 - 365*f**3/6 + 15*f**2 - 3*f - 308. Factor l(m).
-5*(m + 3)*(25*m - 2)
Let c = -231 - -258. Suppose 12*w = c - 3. What is m in m**w - 4/7 - 2/7*m**3 - 4/7*m = 0?
-1/2, 2
Let k be (-84)/(-32)*6 + (-2)/(-8). Suppose -g - k + 20 = 0. Find q, given that -q**5 + g*q**2 + 6*q**3 + 15*q**4 - 10*q**4 - 4*q - 3*q**3 - 7*q**4 = 0.
-2, 0, 1
Let p(y) = -7*y**4 - 13*y**3 - 81*y**2 - 135*y + 6. Let w(q) = q**4 - q**3 - q**2 + 3*q - 1. Let j(c) = -p(c) - 6*w(c). Suppose j(v) = 0. Calculate v.
-13, -3, 0
Let f be -5*(-9)/5 + -7. Factor -103*i**2 - 6*i**3 - 51*i**2 + 8*i**3 - 14*i**f.
2*i**2*(i - 84)
Let n(y) be the third derivative of -y**6/480 - 583*y**5/120 + 2335*y**4/96 - 146*y**3/3 - 20*y**2 - 5. Solve n(q) = 0.
-1168, 1
Factor -658/3*t - 2/3*t**3 + 436/3 + 224/3*t**2.
-2*(t - 109)*(t - 2)*(t - 1)/3
Let s(t) be the first derivative of -7*t**5/2 + 1145*t**4/8 + 760*t**3/3 + 85*t**2 + 1433. Solve s(l) = 0.
-1, -2/7, 0, 34
Suppose 66*d - 70*d = -5*k + 65, k - 55 = 5*d. Let 0*y - 58/3*y**k + 0*y**2 + 0 + 18*y**4 + 4/3*y**3 = 0. Calculate y.
-2/29, 0, 1
Let z = 1347573/2075381 - -1/26953. Let m = z + 7/11. Factor -3/7 + m*r**2 + 6/7*r.
3*(r + 1)*(3*r - 1)/7
Let q = -2240 + 2242. Let l(c) be the first derivative of 100*c - 13 + 44/3*c**3 + c**4 + 70*c**q. Determine j so that l(j) = 0.
-5, -1
Let q be -7 - 0 - 4865/1320*-2. Let p(i) be the third derivative of -8/33*i**3 + q*i**6 + 0 + 0*i - 17*i**2 - 3/11*i**4 + 7/55*i**5. Factor p(s).
2*(5*s - 2)*(7*s + 2)**2/11
Suppose 3 + 375 = 189*a. Let n(u) be the second derivative of -1/18*u**4 + 0 + 32*u - 1/3*u**3 + 4/3*u**a. Factor n(i).
-2*(i - 1)*(i + 4)/3
Let q(a) be the second derivative of a**6/165 - 18*a**5/55 + 131*a**4/66 - 32*a**3/11 + 1096*a. Find p, given that q(p) = 0.
0, 1, 3, 32
Let a = 3277 + -131079/40. Let h(w) be the third derivative of 1/10*w**5 - 18*w**2 + 0 - 1/8*w**4 + 0*w**3 - a*w**6 + 0*w. Determine k, given that h(k) = 0.
0, 1
Determine s so that -2/3*s**2 + 16 - 46/3*s = 0.
-24, 1
Let v(p) be the second derivative of p**7/14 - 13*p**6/10 + 99*p**5/20 + 61*p**4/4 - 17*p**3 - 72*p**2 + 6985*p. Determine z so that v(z) = 0.
-1, 1, 6, 8
Let l(r) be the second derivative of r**4/18 - 959*r**3/9 - 320*r**2 - 197*r. Factor l(x).
2*(x - 960)*(x + 1)/3
Let l(v) be the third derivative of 0 - 2/7*v**3 + 11*v**2 - 1/280*v**6 + 0*v + 1/14*v**4 + 1/140*v**5. Factor l(d).
-3*(d - 2)*(d - 1)*(d + 2)/7
Let n(u) be the second derivative of u**4/6 + 50*u**3/3 + 527*u**2 + 2*u + 6. Let q(r) = -2*r + 1. Let y(c) = n(c) + 4*q(c). Factor y(w).
2*(w + 23)**2
Suppose -3797*m + 3779*m = -12582. Factor 243/4*s**3 + 3105/2*s**2 - m*s + 78.
3*(s + 26)*(9*s - 2)**2/4
Let r(t) be the first derivative of 4*t**3/3 - 58*t**2 - 1435. Factor r(h).
4*h*(h - 29)
Let c(d) be the second derivative of -d**5/180 + 23*d**4/54 - 131*d**3/54 + 43*d**2/9 - 6990*d. Factor c(r).
-(r - 43)*(r - 2)*(r - 1)/9
Let m = 201910 - 201910. Factor -1/3*z**5 + z**4 + m*z**2 - 2/3*z**3 + 0 + 0*z.
-z**3*(z - 2)*(z - 1)/3
Let a(m) = -m**3 - 20*m**2 + 23*m + 47. Let o be a(-21). Suppose 12*g = o*g + 14. Find s such that 4*s**g + 383 - 12*s - 383 = 0.
0, 3
Let j(r) = 85*r - 9773. Let s be j(115). Factor 0 + 2/3*a**s + 14/15*a**3 + 2/15*a + 2/5*a**4.
2*a*(a + 1)**2*(3*a + 1)/15
Factor -16/7 - 692/7*v + 174/7*v**2.
2*(v - 4)*(87*v + 2)/7
Let y(j) = -21*j**2 - 286*j - 428. Let b(d) = -42*d**2 - 579*d - 855. Let q(v) = -4*b(v) + 9*y(v). Factor q(f).
-3*(f + 2)*(7*f + 72)
Let p(v) be the second derivative of -v**5/5 + 22*v**4/3 + 8*v**3/3 - 176*v**2 - 2*v - 2322. Factor p(d).
-4*(d - 22)*(d - 2)*(d + 2)
Let g be -2 - 16/(-6)*(-9)/(-6). Solve -a**g - 15*a**2 + 17*a**3 - 21*a**3 = 0 for a.
-4, 0
Let f = -181892 - -181895. Solve 4 + l - f*l**2 - 7/4*l**3 - 1/4*l**4 = 0 for l.
-4, -2, 1
Let