e k(-5). Suppose p - 274*z + 15*z**3 - 107*z**2 - 78*z**2 + 324*z = 0. What is z?
-2/3, 1, 12
Let f(x) be the first derivative of x**3/3 + 745*x**2 + 555025*x + 1747. Find g, given that f(g) = 0.
-745
Let c(j) be the third derivative of -9*j**7/35 - 38*j**6/5 - 1718*j**5/45 - 568*j**4/9 - 448*j**3/9 - 3*j**2 - 17*j - 10. Let c(v) = 0. What is v?
-14, -2, -4/9
Let f = -10353317/2 - -5426221. What is c in 27225/2*c - f - 495/2*c**2 + 3/2*c**3 = 0?
55
Let f = 10 - 3. Suppose 17 = -4*d + 5*y, 0*d + 18 = -d + 4*y. Suppose -f*v**2 + 18*v**d - 8*v**2 + 6*v = 0. Calculate v.
-2, 0
Let r(a) be the third derivative of -231*a**2 + 0*a + 0 - 49/39*a**3 + 4/13*a**4 + 1/390*a**5. Find o, given that r(o) = 0.
-49, 1
Let z be 2/(3 + 465/(-165)) - (-378)/(-35). Let 8/5*m**2 - 12/5*m - z*m**4 + 0 + 1/5*m**3 = 0. Calculate m.
-3, 0, 2
Factor -104/21*w + 2/3*w**2 - 88/7.
2*(w + 2)*(7*w - 66)/21
Factor -138*s**2 - 144 + 153*s**3 - 303*s**2 - 3*s**4 - 2974*s + 3409*s.
-3*(s - 48)*(s - 1)**3
Suppose 5 = 4*y - 3*y. Suppose y*q**3 + 36*q**2 - 155*q + 10*q**2 + 12*q**2 + 12*q**2 + 80 = 0. What is q?
-16, 1
Let n(v) = -9*v**4 + 10*v**3 - 24*v**2 - 10*v. Let s(t) = 53*t + 53*t**2 + 8*t**4 - 45*t - 12*t**3 - 29*t**2. Let r(z) = 4*n(z) + 5*s(z). Factor r(w).
4*w**2*(w - 3)*(w - 2)
Factor -f**3 + 56*f**2 + 54*f**2 - 37*f**2 - 95*f + 23*f**2.
-f*(f - 95)*(f - 1)
Let d(h) = -h**4 - h**3 - 2*h**2 - h + 1. Let p(f) = -5*f**3 - 4*f**4 + 974 - 8*f**3 - 34*f**2 - 926 - 9*f. Let l(r) = 3*d(r) - p(r). Factor l(n).
(n - 1)*(n + 3)**2*(n + 5)
Let r(u) = -3*u + 30. Let b be r(9). Let m(n) = -6*n**2 - 36*n - 63. Let q(j) = 7*j**2 + 35*j + 62. Let w(c) = b*q(c) + 4*m(c). Factor w(d).
-3*(d + 2)*(d + 11)
Let i be (1/(-2))/((-59)/(-413))*300/(-280). Factor -i*h**2 + 0 - 3/2*h**3 + 9/2*h + 3/4*h**4.
3*h*(h - 3)*(h - 1)*(h + 2)/4
Let j(f) be the first derivative of 3 - 17*f + 0*f**2 - 1/2*f**3 + 1/4*f**4. Let i(x) be the first derivative of j(x). What is z in i(z) = 0?
0, 1
Let z(s) be the third derivative of -s**10/30240 + s**8/1344 + s**7/504 + 22*s**5/15 + 40*s**2. Let o(j) be the third derivative of z(j). What is v in o(v) = 0?
-1, 0, 2
Factor -17*y**4 + 0*y**4 + 13*y**4 - 504*y - 496*y**3 + 1004*y**2.
-4*y*(y - 1)**2*(y + 126)
Let k(n) = -6*n**3 + 229*n**2 - 2394*n + 2196. Let s(a) = 3*a**3 - 115*a**2 + 1197*a - 1095. Let f(c) = -2*k(c) - 5*s(c). Determine w, given that f(w) = 0.
1, 19
What is d in -3*d**3 + 13*d**3 + 326*d + 387*d - 390 + 212*d - 295*d**2 = 0?
1/2, 3, 26
Let w be (2 - 4)/(((-8)/(-12)*1)/(41/(-492))). Factor -7/2*n**3 - 11/4 - 9*n**2 - w*n**4 - 17/2*n.
-(n + 1)**3*(n + 11)/4
Let s(x) be the second derivative of 43/2*x**4 - 1/2*x**3 - 176*x + 0 + 0*x**2. Factor s(h).
3*h*(86*h - 1)
Factor 31827/5 + 3/5*i**2 + 618/5*i.
3*(i + 103)**2/5
Let n = 366 - 287. Let a be n/(-1501) + (-2)/(-38). Find q, given that -q + a + 1/3*q**2 = 0.
0, 3
Let o(g) be the first derivative of 4*g**5/15 + 16*g**4/3 + 128*g**3/3 + 512*g**2/3 + 1024*g/3 + 138. Factor o(s).
4*(s + 4)**4/3
Let k(z) be the second derivative of -29/51*z**3 + 2*z - 15/17*z**2 + 1/170*z**5 - 13/102*z**4 - 37. Determine r, given that k(r) = 0.
-1, 15
Let l(z) be the third derivative of 0 + 0*z - 38*z**2 + 0*z**4 + 1/540*z**6 + 0*z**5 - 4/945*z**7 - 5/1512*z**8 + 0*z**3. Determine p, given that l(p) = 0.
-1, 0, 1/5
Let o(v) be the second derivative of -5*v**4/12 - 10045*v**3/3 - 20180405*v**2/2 + 67*v + 9. Factor o(c).
-5*(c + 2009)**2
Let d = -6953 - -6955. Let f(i) be the first derivative of 4/15*i**3 - 2/5*i**d + 18 - 8/5*i. Determine r, given that f(r) = 0.
-1, 2
Let k(u) be the third derivative of -u**5/240 + 37*u**4/3 - 43808*u**3/3 + 772*u**2. Suppose k(z) = 0. Calculate z.
592
Let b(p) be the third derivative of p + 0*p**3 - 1/24*p**4 - 1/40*p**6 + 1/20*p**5 + 0 + 1/210*p**7 + 4*p**2. Solve b(q) = 0.
0, 1
Let v(z) = -z**3 + 7*z**2 - z + 1. Let x be v(7). Let h be 33/5 + x/10. Factor 3/8*k**2 + h + 3*k.
3*(k + 4)**2/8
Let u(q) be the third derivative of q**7/245 - 29*q**6/70 + 597*q**5/70 - 530*q**4/7 + 2300*q**3/7 - q**2 - 214*q. What is w in u(w) = 0?
2, 5, 46
Let t(j) = -5*j**2 - 63*j - 207. Let k(r) = 3*r**2 + 3*r - 1. Let p(c) = k(c) + t(c). Factor p(g).
-2*(g + 4)*(g + 26)
Suppose -3 = -356*s - 3. Let x(q) be the third derivative of -1/60*q**6 + 0 + s*q - 8/3*q**3 - 1/5*q**5 + 12*q**2 - q**4. Factor x(r).
-2*(r + 2)**3
Let c(v) be the second derivative of 0*v**2 - 11/20*v**5 - 4 + 3*v + 4/3*v**3 + 121/8*v**4 + 1/120*v**6. Let f(u) be the second derivative of c(u). Factor f(o).
3*(o - 11)**2
Let -100/3*z + 41/3*z**3 + 0 - 80*z**2 + 14*z**4 + 5/3*z**5 = 0. Calculate z.
-5, -2/5, 0, 2
Let n(d) be the first derivative of d**6/6 - 7*d**5 + 102*d**4 - 1832*d**3/3 + 1736*d**2 - 2352*d + 2113. Let n(p) = 0. What is p?
2, 3, 14
Let n(w) = -4*w**4 - 20*w**3 + 22*w**2 + 132*w - 126. Let z(c) = -c - 4 + 3*c + 0*c**2 - c**2 + 5. Let b(g) = -n(g) + 2*z(g). Let b(i) = 0. What is i?
-4, 1, 2
Suppose -104*h + 101*h = -15. Let d be 185*(-18)/810 - h/(-1). Factor -d*o + 4*o**2 + 0 - 4*o**3.
-4*o*(3*o - 2)*(3*o - 1)/9
Factor 102/5*o + 0 - 3/5*o**2.
-3*o*(o - 34)/5
Let a(g) = 7*g**2 + 958*g - 944. Let h(z) = 2*z**2 - 2*z + 7. Let x(i) = 5*a(i) - 15*h(i). Find y such that x(y) = 0.
-965, 1
Let c(y) be the third derivative of -7*y**5/75 + 19*y**4/12 + 7*y**3/5 - 2*y**2 - 93. Suppose c(s) = 0. What is s?
-3/14, 7
Let h(g) be the second derivative of g**5/130 + 7*g**4/78 - 28*g**3/39 - 160*g**2/13 + g - 76. Factor h(v).
2*(v - 5)*(v + 4)*(v + 8)/13
Let o(j) be the first derivative of 284*j**3/15 + 283*j**2/10 - j/5 - 3237. Suppose o(r) = 0. Calculate r.
-1, 1/284
Suppose -145 = -26*f - 145. Let p(u) be the second derivative of 0 + f*u**2 + 1/165*u**6 - 4/33*u**3 + 3/22*u**4 - 3/55*u**5 + 9*u. Factor p(q).
2*q*(q - 4)*(q - 1)**2/11
Let a = -4279 - -4283. Let j(s) be the second derivative of -1/12*s**3 - 9*s + 0 - 1/24*s**a + 1/2*s**2. Let j(b) = 0. What is b?
-2, 1
Let d(q) be the third derivative of -q**6/24 - q**5/3 - 5*q**4/8 + 54*q**2 - 2*q. Factor d(v).
-5*v*(v + 1)*(v + 3)
Let w(j) = j**3 + 1977*j**2 + 35265*j + 54. Let t be w(-18). Find q, given that -8/13*q - 6/13*q**4 + t - 2*q**3 - 32/13*q**2 = 0.
-2, -1/3, 0
Suppose 21*b = c + 17*b - 7, 0 = -3*c + 5*b + 14. Let u(a) be the first derivative of -9 - 9/5*a**5 + a**2 - 5/3*a**c + 0*a - 4*a**4. Let u(t) = 0. Calculate t.
-1, 0, 2/9
Let l(f) = -95*f**3 - 2315*f**2 + 5165*f - 2530. Let m(b) = -23*b**3 - 581*b**2 + 1291*b - 633. Let i(s) = 6*l(s) - 25*m(s). Determine v, given that i(v) = 0.
-129, 1
Suppose 11*g + 1 = -10. Let c(x) = -7*x**3 - 30*x**2 - 145*x - 245. Let v(a) = -a**3 + a + 1. Let k(n) = g*c(n) + 5*v(n). Factor k(p).
2*(p + 5)**3
Let x(l) = -l**2 + 8*l - 7. Let k be x(1). Let p(a) be the third derivative of -19*a**2 + k + 3/8*a**4 + 0*a - 1/15*a**5 - 1/3*a**3. Factor p(g).
-(g - 2)*(4*g - 1)
Let x(v) be the first derivative of 3*v**4/4 + 849*v**3 + 720801*v**2/2 + 67995561*v + 1010. Solve x(c) = 0 for c.
-283
Factor -1815*x - 117*x**3 - x**4 + 6*x**4 - 8*x**3 + 477*x**2 + 458*x**2.
5*x*(x - 11)**2*(x - 3)
Let x(t) = 2*t**2 - 12*t - 12. Let o be x(7). Factor 5*v**2 + 7*v**2 - o*v + 10*v.
4*v*(3*v + 2)
Let i = -6039/89 - -49113/712. Suppose -3/8*d**5 + 3/8*d**2 + 9/8*d**4 + 0*d - i*d**3 + 0 = 0. What is d?
0, 1
Let k = -137/1152 + 4141/5760. Let -k*h**3 + 1/5*h**5 - h**2 - 2/5*h + 0 + 1/5*h**4 = 0. What is h?
-1, 0, 2
Let q(w) be the second derivative of w**7/98 - 127*w**6/210 + 297*w**5/28 - 3001*w**4/84 + 340*w**3/7 - 200*w**2/7 + 161*w - 4. Solve q(y) = 0.
1/3, 1, 20
Suppose -5*j = -3*w - 14, -2*w + 2*j = -2 + 6. Factor -28 - 21 + 8*u - 4*u**w + 61.
-4*(u - 3)*(u + 1)
Let x = 163 + -159. Find h such that x*h**3 - 138*h + 164*h + 300 + 194*h + 52*h**2 = 0.
-5, -3
Find k, given that -48217676 + 6390541 + 263270*k - 3045*k**2 + 5*k**3 + 354865*k = 0.
203
Factor 110*c + 2/9*c**2 - 1988/9.
2*(c - 2)*(c + 497)/9
Let f(u) be the second derivative of u**6/60 + 6*u + 16. Determine x, given that f(x) = 0.
0
Factor 2/13*p**2 - 12 - 74/13*p.
2*(p - 39)*(p + 2)/13
Suppose 10 - 310 = -30*g. Determine o, given that 11 - g - 27*o + o**2 - 22 - 7 = 0.
-1, 28
Let x = -238 + 241. Factor -20 - 133*n - 25*n**x + 5*n**4 + 261*n + 15*n**2 - 103*n.
5*(n - 4)*(n - 1)**2*(n + 1)
Let x(r) b