- 27/4*g**2 + 6 + 3/4*g**4 + y*g**3 = 0?
-8, -1, 1
Let j = 370119 + -370117. Factor 2*u**3 - 23/4*u - 27/4*u**j + 3.
(u - 4)*(u + 1)*(8*u - 3)/4
Let u = 1322956 - 1322812. Factor -8*n**2 - 84*n + 4/3*n**3 - u.
4*(n - 12)*(n + 3)**2/3
Suppose -128*y + 40*y - 48*y = 33*y + 127*y. Determine c, given that 1/3*c**3 + 1/6*c**4 + 5/3*c + y - 13/6*c**2 = 0.
-5, 0, 1, 2
Let d be ((-208)/(-13) - 22)*-1. Let j(a) be the second derivative of 1/75*a**d + 0*a**2 - 2/15*a**3 + 0*a**5 + 35*a - 1/10*a**4 + 0. Solve j(f) = 0.
-1, 0, 2
Let y be -1*4*(3942/3780)/(-73). Let i(x) be the third derivative of 21*x**2 + 0*x**5 - y*x**7 + 0*x + 0*x**4 - 1/15*x**6 + 0*x**3 + 0 + 1/42*x**8. Factor i(u).
4*u**3*(u - 2)*(2*u + 1)
Let d(h) be the third derivative of -h**8/84 + 8*h**7/21 + h**6/15 - 8*h**5/3 - h**4/6 + 40*h**3/3 + 367*h**2. Determine u so that d(u) = 0.
-1, 1, 20
Let b be ((-24)/(-30))/((-1)/(-5)). Suppose -b*i**3 + 46 + 7*i - 34 + 4*i**2 + 13*i = 0. Calculate i.
-1, 3
Let g(w) be the first derivative of -w**6/6 + 31*w**5/5 - 27*w**4/4 - 95*w**3/3 + 76*w**2 - 60*w - 1473. Factor g(v).
-(v - 30)*(v - 1)**3*(v + 2)
Let i = 138 - 202. Let a be ((-16)/3)/(-4)*(-96)/i. Factor -16/3*f - 32/3 - 2/3*f**a.
-2*(f + 4)**2/3
Let q(r) be the first derivative of 4/5*r**5 + 8/3*r**3 + 4*r**4 - 57 - 8*r**2 - 12*r. Let q(t) = 0. What is t?
-3, -1, 1
Let m(l) be the second derivative of -18*l - 1/20*l**5 + 0 + 0*l**2 + 0*l**3 + 1/12*l**4. Let g(p) = 6*p**3 - 5*p**2. Let y(z) = g(z) + 4*m(z). Factor y(s).
s**2*(2*s - 1)
Let 0 + 1/4*f**5 - 9/2*f**2 + 0*f**4 - 2*f - 11/4*f**3 = 0. Calculate f.
-2, -1, 0, 4
Factor 166*p**3 - 2*p**4 + 0*p**4 - 22448*p - 1609*p**3 - 893*p**3 + 11208*p**2 + 14976 + 476*p**3.
-2*(p - 2)**3*(p + 936)
Factor 6*u**3 - 62/5*u**2 + 94/15*u + 0 + 2/15*u**4.
2*u*(u - 1)**2*(u + 47)/15
Let g be ((-21)/7)/(2/(-44)*3). Let c = g - 10. Let -33 + 14 - 3*z**3 - 9*z + c*z**2 + 19 = 0. What is z?
0, 1, 3
Let v be (-2)/((-30)/(-3)) - (-434952)/460. Let x = -945 + v. Factor -2/23*k**2 - x*k - 6/23.
-2*(k + 1)*(k + 3)/23
Let k(s) be the second derivative of -60*s + 40/7*s**2 - 1/42*s**4 + 1 + 6/7*s**3. Let k(q) = 0. Calculate q.
-2, 20
Let k = 1163 - 1160. Suppose 0 = -4*z + z + 6. Let -6*d**z + 5 - k*d**2 + 4*d**2 = 0. What is d?
-1, 1
Let o(b) be the third derivative of b**10/680400 - b**8/90720 - b**5/30 + b**3/2 + 12*b**2 + 2*b. Let w(h) be the third derivative of o(h). Factor w(m).
2*m**2*(m - 1)*(m + 1)/9
Let c(b) = b**5 - 12*b**4 + 80*b**3 + 81*b**2 - 285*b - 3. Let o(j) = j**5 + 2*j**4 + 3*j**2 + j - 1. Let r(n) = -2*c(n) + 6*o(n). Suppose r(l) = 0. What is l?
-12, -2, 0, 2, 3
Factor -6111/2 + 3/2*h**2 + 426*h.
3*(h - 7)*(h + 291)/2
Let i(m) be the first derivative of -1/16*m**4 + 7/4*m + 76 + 5/12*m**3 + 13/8*m**2. Factor i(r).
-(r - 7)*(r + 1)**2/4
Suppose -44*p + 6 = -41*p. Solve 55*x - 3*x**p + 45 - 19*x - 6 = 0 for x.
-1, 13
Let w(x) be the first derivative of -11*x**5/15 + 347*x**4/3 + 1145*x**3/9 - 127*x**2/3 - 7498. Determine r so that w(r) = 0.
-1, 0, 2/11, 127
Let g be (33140/(-56338))/(13/(-17)). Factor 0*o + 6/13*o**3 + 0 + g*o**4 - 4/13*o**2.
2*o**2*(o + 1)*(5*o - 2)/13
Let u(k) = -3847*k**5 - 7833*k**4 - 3993*k**3 - 7*k**2. Let h(o) = 481*o**5 + 979*o**4 + 499*o**3 + o**2. Let c(y) = 33*h(y) + 4*u(y). Factor c(g).
5*g**2*(g + 1)**2*(97*g + 1)
Factor 100/3*j**2 - 14*j + 0 + 32/3*j**3.
2*j*(2*j + 7)*(8*j - 3)/3
Let r be ((-24)/7)/(-4)*1554/1998. Let w(t) be the third derivative of 25*t**2 + 0 + 8/3*t**3 + 1/15*t**5 + 0*t + r*t**4. Factor w(l).
4*(l + 2)**2
Solve 2/3*c**3 + 0 + 62/3*c**2 - 44*c = 0.
-33, 0, 2
Let g(v) be the third derivative of 0 + 11/6*v**3 + 5*v - 4*v**2 - 17/12*v**4 + 1/20*v**5. Suppose g(f) = 0. Calculate f.
1/3, 11
Let w(s) be the second derivative of s**7/28 - 11*s**6/4 - 873*s**5/40 - 533*s**4/8 - 209*s**3/2 - 90*s**2 + s - 20. What is y in w(y) = 0?
-2, -1, 60
Let n(s) be the first derivative of -2*s**5/25 + 276*s**4/5 - 66572*s**3/5 + 1119008*s**2 + 117705654*s/5 + 14560. Factor n(v).
-2*(v - 187)**3*(v + 9)/5
Find l, given that 120/7*l - 9/7*l**5 + 429/7*l**2 - 57*l**3 - 36 + 111/7*l**4 = 0.
-2/3, 1, 2, 3, 7
Suppose 2*v - 3*c = 39, -362*v + 367*v + 5*c = -40. Factor -1/2*z**2 + 1/4*z**v + 0 + 0*z.
z**2*(z - 2)/4
Let s be 27/(-12)*(-56)/3. Let o = 143 + 7. Solve 39*b**2 - s + 2*b**3 + 46*b + o + 98*b + b**3 = 0 for b.
-6, -1
Let d(t) = 7*t + 80*t**2 - 14*t**3 - 46*t**3 - 7*t + 25 + 5*t. Let l(q) = 15*q**3 - 20*q**2 - q - 6. Let z(j) = 6*d(j) + 25*l(j). Factor z(n).
5*n*(n - 1)*(3*n - 1)
Let a = 506/227 + -1934/2497. Factor -2/11*l**2 - a*l + 24/11 + 2/11*l**3.
2*(l - 2)**2*(l + 3)/11
Find a such that 343*a**3 + 840*a - 462*a**4 + 504*a**4 + 1276*a - 1932*a**2 + a**5 + 6*a**3 = 0.
-23, 0, 2
Let z be (-87)/7 + (80/56 - 1). Let f be (-1 + (-3)/(-6))*(z + 6). Factor 2/9*d**5 + 20/3*d**f + 2*d**4 + 2 + 22/3*d + 92/9*d**2.
2*(d + 1)**3*(d + 3)**2/9
Let p(t) = 17*t - 8. Suppose 15 = 8*c - 81. Let i = c - 17. Let x(h) = h**2 - 18*h + 8. Let j(o) = i*x(o) - 4*p(o). Solve j(u) = 0.
2/5, 4
Let q(b) = -9*b**2 + 17*b + 12. Let u be (4/(-8) - (-1)/1)*12. Let g(h) = h + 1. Let k be g(-3). Let o(x) = -x**2 + x. Let r(n) = k*q(n) + u*o(n). Factor r(v).
4*(v - 3)*(3*v + 2)
Let n(a) be the first derivative of -3*a**4/4 - 134*a**3 - 786*a**2 - 1560*a + 281. Let n(i) = 0. What is i?
-130, -2
Suppose 105*t - 9747 + 9533 = -2*t. Factor -1/3*q**3 - 5/3*q**t + 14/3*q + 0.
-q*(q - 2)*(q + 7)/3
Let m = -99 + 105. Let r(y) = -17*y**3 - 13*y**2 + 25*y + 21. Let q(i) = -8*i**3 - 6*i**2 + 12*i + 10. Let d(t) = m*r(t) - 13*q(t). Solve d(f) = 0 for f.
-1, 2
Suppose f + 3*x = -221 - 10, -2*f - x - 452 = 0. Let p be ((-6)/5)/(90/f). Factor m**p + 0 - 1/3*m**4 + 0*m - 2/3*m**2.
-m**2*(m - 2)*(m - 1)/3
Suppose 607 + 233 = 14*s. Let 280*t**2 - s*t - 4*t + 4*t**3 + 32*t**3 = 0. What is t?
-8, 0, 2/9
Factor 23*y**2 - 3103*y - 107*y**2 - 3150*y + 6338*y - y**3.
-y*(y - 1)*(y + 85)
Let i(v) = -23*v**3 - 4*v - 5. Let j be i(-1). Suppose l + 10*l = j. Determine z so that 6*z**4 + 3*z**5 + 2*z**l + 6*z**3 + z**5 - 2*z**5 = 0.
-1, 0
Suppose 4*k = 6*k + j - 12, 6*k = j + 44. Let o(u) be the first derivative of 92/3*u**3 + 0*u - 12*u**2 - k*u**4 - 13. Determine g, given that o(g) = 0.
0, 2/7, 3
Let g(a) = 17*a**3 - 90*a**2 - 207*a - 108. Let w = -51 - -54. Let p(f) = 6*f**3 - 30*f**2 - 69*f - 36. Let o(k) = w*g(k) - 8*p(k). Factor o(z).
3*(z - 12)*(z + 1)**2
Let n be (440/(-250) - -2)/(-1 + 40/25). Let q(t) be the second derivative of n*t**3 - 1/12*t**4 + 0 - 2/5*t**2 - 11*t. Let q(j) = 0. What is j?
2/5, 2
Let m(o) = 13*o**2 - 778*o + 149781. Let z(v) = -10*v**2 + 777*v - 149778. Let a(y) = 3*m(y) + 4*z(y). What is j in a(j) = 0?
387
Let r = -1242 - -871. Let u = r - -371. Factor -4/7*y**3 + u*y**2 - 2/7 + 4/7*y + 2/7*y**4.
2*(y - 1)**3*(y + 1)/7
Suppose 53*s - 56*s = -3393. Factor -s*p + p**5 - 8*p**2 + 15*p**3 + 7*p**4 + p**4 + 1115*p.
p*(p - 1)*(p + 1)*(p + 4)**2
Let n(u) = 2*u**3 + 25*u**2 - 28*u + 15. Let r be n(-14). Let h = r + 183. Factor -10/7*d + 4/7 - 2*d**h.
-2*(d + 1)*(7*d - 2)/7
Factor 5*s**2 + 294796*s + 42 - 2*s**3 - 294858*s + 17*s**2.
-2*(s - 7)*(s - 3)*(s - 1)
Let q(x) be the first derivative of x**4 - 3/20*x**5 - 23*x - 5/2*x**3 + 8 + 3*x**2. Let u(s) be the first derivative of q(s). Factor u(f).
-3*(f - 2)*(f - 1)**2
Let k(x) be the first derivative of 128*x**5/5 - 360*x**4 + 1158*x**3 + 1620*x**2 + 648*x - 211. Factor k(c).
2*(c - 6)**2*(8*c + 3)**2
Let y(u) be the first derivative of u**6/2 - 57*u**5/5 + 297*u**4/4 - 193*u**3 + 240*u**2 - 144*u - 2285. Factor y(i).
3*(i - 12)*(i - 4)*(i - 1)**3
Let r = -2123 - -2123. Let p(l) be the first derivative of 2/15*l**6 + r*l**2 + 13 - 4/15*l**3 - 1/5*l**4 + 4/25*l**5 + 0*l. What is w in p(w) = 0?
-1, 0, 1
Factor -72 + 63/2*v - 5/2*v**2.
-(v - 3)*(5*v - 48)/2
Let k(n) be the second derivative of -8/45*n**6 - 11/12*n**4 + 17/9*n**3 + 7*n - 22/15*n**5 - 7 - 5/6*n**2. Find g such that k(g) = 0.
-5, -1, 1/4
Let y(a) be the third derivative of 121*a**7/140 + 33*a**6/8 + 313*a**5/40 + 15*a**4/2 + 4*a**3 + 2389*a**2. Suppose y(z) = 0. Calculate z.
-1, -4/11
Let v(i) be the first derivative of i**6/14 + 2043*i**5/35 + 231879*i**4/14 + 11696402*i**3/7 - 463761*i**2/14 - 35091249*i/7 - 2682. Solve v(u) = 0 for 