et j(k) = 5*k**2 - 3*k + 0 + k**2 - 3 - 4*k**3. Let c(y) = r*j(y) + 3*v(y). Factor c(t).
-t**2*(t - 3)
Let r be 128 + (-5 - (-30)/2). Let y be r/(-23) + (6 - 0). Factor 0 + y*p - 2/3*p**4 - 2*p**2 - 8/3*p**3.
-2*p**2*(p + 1)*(p + 3)/3
Let d(v) be the second derivative of -v**6/15 + 6*v**5/5 - 25*v**4/3 + 28*v**3 - 45*v**2 - v + 1605. Factor d(l).
-2*(l - 5)*(l - 3)**2*(l - 1)
Let i(m) = -m**3 + 11*m**2 + 18*m - 68. Let z be i(12). Suppose 300*v**2 + 350*v**2 + 50*v**3 - 785*v**2 - 5*v**z + 90*v = 0. What is v?
0, 1, 3, 6
Let x(u) = -60*u**2 + 43208*u - 38880008. Let n(l) = 22*l**2 - 14403*l + 12960003. Let r(s) = 8*n(s) + 3*x(s). Factor r(c).
-4*(c - 1800)**2
Let y(x) = 7*x**3 - 45*x**2 - 7*x. Let k(v) = 20*v**3 - 134*v**2 - 28*v. Let m(s) = -5*k(s) + 14*y(s). Find r such that m(r) = 0.
-1, 0, 21
Suppose -u + 3 = k + 2, -2*k + 2 = 3*u. Let w be (29 + -1)*1*k. Let 696*x**5 + 4*x**2 - 716*x**5 - 10*x - 12*x**4 + 8*x**2 + 2*x + w*x**3 = 0. What is x?
-1, 0, 2/5, 1
Let z(n) be the second derivative of -n**4/18 - 17*n**3/9 - 52*n**2/3 - 2114*n. Determine y, given that z(y) = 0.
-13, -4
Let h be 3/(-6)*(90/(-36) + 1). Let j(k) be the second derivative of -h*k**2 - 21*k - 5/24*k**3 + 0 + 1/80*k**5 + 1/24*k**4. Factor j(i).
(i - 2)*(i + 1)*(i + 3)/4
Suppose -2*s = 2*c + 2, 7*c - 2*c - 2*s - 2 = 0. Let t(p) be the first derivative of -3/25*p**5 - 13 + c*p + 1/5*p**3 + 3/10*p**2 - 3/20*p**4. Factor t(g).
-3*g*(g - 1)*(g + 1)**2/5
Let z(b) be the first derivative of 0*b**2 + 4/51*b**3 - 2/17*b - 186 + 0*b**4 - 2/85*b**5. What is m in z(m) = 0?
-1, 1
Let p(r) be the first derivative of r**4/8 + 16*r**3/3 + 285*r**2/4 + 225*r - 10979. What is d in p(d) = 0?
-15, -2
Let d(h) be the second derivative of 0*h**2 - 2*h**3 - 27*h - 17/16*h**4 + 0 - 3/80*h**5. Determine a so that d(a) = 0.
-16, -1, 0
Let u(w) = 14*w**3 - 93*w**2 + 366*w - 607. Let h(f) = -15*f**3 + 95*f**2 - 365*f + 605. Let i(x) = -9*h(x) - 10*u(x). Factor i(n).
-5*(n - 5)**3
Let y(i) be the first derivative of -9*i**4/4 - 233*i**3/2 - 1767*i**2 - 5415*i/2 - 22. What is k in y(k) = 0?
-19, -5/6
Let z(h) = -h**3 - h**2 + h. Let l be (-6)/8*22/(-33)*-12. Let b(k) = 7*k**3 + 21*k**2 - 6*k. Let u(y) = l*z(y) - b(y). Factor u(f).
-f**2*(f + 15)
Suppose 0 = 2957*o - 2938*o - 57. Let 1/5*p**o + 2/5 + p + 4/5*p**2 = 0. Calculate p.
-2, -1
Suppose -74 + 1024 = 2*z. Let v = -471 + z. Find q such that 5/3*q**2 - 7/3*q**5 - 5/3*q**v + 0 - 2/3*q + 3*q**3 = 0.
-1, 0, 2/7, 1
Let y(o) be the second derivative of -o**5/30 + 21*o**4/2 - 2813*o**3/3 - 47045*o**2/3 + 3871*o. Factor y(l).
-2*(l - 97)**2*(l + 5)/3
Let d be ((-250)/(-200))/(90/96). Factor 10/3*v**2 + 8/3*v**3 - d*v - 2.
2*(v + 1)**2*(4*v - 3)/3
Let y be 2*1/(-16) + (796898/3344 + -28 - 24). Factor -2/11*p**2 - y - 128/11*p.
-2*(p + 32)**2/11
Let s(r) be the second derivative of -7/10*r**4 - 144/5*r**2 - 162*r + 3/100*r**5 + 0 + 32/5*r**3. Determine i, given that s(i) = 0.
4, 6
Let w be (-38285)/57 + (15/(-9))/5. Let c = 4724/7 + w. Factor -8/7 + c*y + 12/7*y**2.
4*(y + 2)*(3*y - 1)/7
Let b(t) be the second derivative of t**5/5 + 25*t**4/3 + 8*t**3 - 576*t**2 + t + 453. Let b(i) = 0. Calculate i.
-24, -4, 3
Let n(y) = 5*y**2 - 1183*y + 59537. Let p be n(164). Let l = -32 - -65/2. Factor -2*k + 0 - l*k**p - 3*k**4 - 6*k**2 - 13/2*k**3.
-k*(k + 1)**2*(k + 2)**2/2
Factor -43*q**2 - 54*q**2 + 544 - 110 + 99*q**2 - 436*q.
2*(q - 217)*(q - 1)
Let z(g) be the second derivative of -g**6/90 - 13*g**5/15 - 92*g**4/9 - 352*g**3/9 - 69*g + 5. Suppose z(t) = 0. Calculate t.
-44, -4, 0
Let d be (((-1275)/12)/(-25))/((-10)/(10400/(-110))). What is t in -50/11*t**3 + 282/11*t**2 + 2/11*t**4 - 676/11 + d*t = 0?
-2, 1, 13
Suppose -18 + 282 = 4*t. Suppose 25*j - t = -8*j. Suppose -2/15*i**4 + 0 + 0*i**3 + 2/15*i**j + 0*i = 0. Calculate i.
-1, 0, 1
Let u = 7578/413 + -1032/59. Let x be (-1)/(1/4*-2). What is k in -u*k**4 - 16/7*k**3 - 2*k**x - 4/7*k + 0 = 0?
-1, -2/3, 0
Let k be 2/(3522/(-1764) + 2). Factor -k - 13*h**3 + 29*h**3 + 672*h - 87*h**2 - 13*h**3.
3*(h - 14)**2*(h - 1)
Let n(q) be the third derivative of q**6/40 + 11*q**5/20 + 5*q**4/2 - 16*q**3 + 1347*q**2. Suppose n(i) = 0. Calculate i.
-8, -4, 1
Suppose -2*x = 5 - 11. Suppose -15 = -3*m + 2*g, 6 = -2*m + x*g + 21. Factor 3/4*q - 1/2 + 0*q**2 - 1/4*q**m.
-(q - 1)**2*(q + 2)/4
Suppose -13 = 4*c - 21. Factor 3*z**5 - 25*z + 13*z + 5*z + 10*z - 12*z**c - 12*z**4 + 18*z**3.
3*z*(z - 1)**4
Let u be (91/(-77))/(128/(-176)). Let r(n) be the first derivative of -u*n**2 + 3/2*n - 1/16*n**4 + 2/3*n**3 - 24. Factor r(v).
-(v - 6)*(v - 1)**2/4
Suppose 5*b = -2*j - 1453, 5*j + 3374 + 299 = b. Let i = j - -738. Factor -2*p**2 - i - 1/4*p**3 - 5*p.
-(p + 2)**2*(p + 4)/4
Let u(i) be the first derivative of 14/13*i**2 + 2/39*i**3 + 0*i + 35. Find l, given that u(l) = 0.
-14, 0
Let u(p) be the second derivative of p**7/1890 - p**6/30 + 17*p**5/90 + 23*p**4/12 + 60*p. Let y(x) be the third derivative of u(x). Factor y(m).
4*(m - 17)*(m - 1)/3
Let a be 41 - -6*6/9. Let n = a + -30. Factor 4*h + 4*h**2 - 7*h - 2 - 14 + n*h.
4*(h - 1)*(h + 4)
Let t(a) = -a. Let l(d) = 5*d**2 - 6*d - 20. Let y(v) = -v**2 + 3*v + 44. Let q be y(0). Suppose -4*s = q - 68. Let i(h) = s*t(h) - l(h). Factor i(g).
-5*(g - 2)*(g + 2)
Determine w so that 38829*w + 40373*w - 1050*w**3 + 1052*w**3 - 796*w**2 = 0.
0, 199
Let q be 12/42*14/60*2. Let i(z) be the second derivative of -11*z + 2/15*z**3 + 0*z**2 + 0 + 33/100*z**5 + 1/3*z**4 + q*z**6 + 2/105*z**7. Factor i(p).
p*(p + 2)**2*(2*p + 1)**2/5
Let n = -46 - -50. Factor -2*x**4 + 57*x**5 + 0*x**n - 55*x**5.
2*x**4*(x - 1)
Suppose 882*d**2 - 4310*d + 2/5*d**4 + 7100 - 314/5*d**3 = 0. Calculate d.
5, 142
Let z(c) be the first derivative of -1/8*c**4 - 4/9*c**3 - 7/12*c**2 - 1/3*c - 20. Factor z(v).
-(v + 1)**2*(3*v + 2)/6
Let a be (8265/(-60610))/(8/(-66)). Find i such that -87/8*i**2 + 57/8*i + 39/8*i**3 - a = 0.
3/13, 1
Let j(d) be the second derivative of 88*d + 0 + 5/48*d**4 - 1/20*d**5 - 1/12*d**3 + 1/120*d**6 + 0*d**2. Suppose j(c) = 0. What is c?
0, 1, 2
Factor 13*k - 18*k**2 - 20*k + 3*k.
-2*k*(9*k + 2)
Let g = -387119/30 - -12904. Let b(a) be the second derivative of 4/9*a**4 + 13/9*a**3 + g*a**5 - 7*a + 0 + 2*a**2. Factor b(m).
2*(m + 1)**2*(m + 6)/3
Let o(j) be the second derivative of -j**6/200 - j**5/20 - 3*j**4/20 + 29*j**2 + 126*j. Let c(n) be the first derivative of o(n). Factor c(h).
-3*h*(h + 2)*(h + 3)/5
Suppose -16*u + 17*u - 194 = 0. Suppose u = -r + 204. Factor 5/2*i**2 + 10 + r*i.
5*(i + 2)**2/2
Let j be (2/(-2))/((-14)/4). Let w = 2018139 + -2018136. Factor -2/7*a**2 + 0*a - 2/7*a**w + 0 + j*a**4 + 2/7*a**5.
2*a**2*(a - 1)*(a + 1)**2/7
Factor 3*i**3 - 25*i**2 - 252666 + 252666 + 66*i - 44*i**2.
3*i*(i - 22)*(i - 1)
Factor -102*g**2 - 7*g**3 - 22*g**2 + 29*g**2 - 545*g**2 + 2*g**3 - 1875*g.
-5*g*(g + 3)*(g + 125)
Let c(a) be the second derivative of a**4/96 + 23*a**3/24 - 1071*a**2/16 + 9582*a. Let c(t) = 0. What is t?
-63, 17
What is m in 117/7*m + 34 - 1/7*m**2 = 0?
-2, 119
Find x such that -54*x**2 - 3/4*x**5 + 1/2*x**4 + 81/4*x**3 + 0 + 27*x = 0.
-6, 0, 2/3, 3
Let x be (-17172)/306 + (-4)/(-34). Let s be (60/45)/((x/12)/(-1)). Let -10/7*o + 8/7 + s*o**2 = 0. What is o?
1, 4
Solve 5/2*m + 0 + 3*m**2 + 1/2*m**3 = 0.
-5, -1, 0
Let c(p) be the second derivative of p**6/6 - 21*p**5 + 415*p**4/12 + 9243*p. What is l in c(l) = 0?
0, 1, 83
Let f be (4/8)/(-25 + 46). Let t(o) be the second derivative of 5/21*o**3 + 0 + 6/7*o**2 + 19*o - f*o**4. Let t(h) = 0. What is h?
-1, 6
Let q be ((-300)/24 - -13)*8. Let v(y) be the second derivative of -5/12*y**q + 5/6*y**3 + 0 - 13*y + 5*y**2. Factor v(i).
-5*(i - 2)*(i + 1)
Let x(d) be the second derivative of d**4/66 - 256*d**3/33 + 255*d**2/11 - 1551*d. Factor x(q).
2*(q - 255)*(q - 1)/11
Suppose -40*s - 45*s + 44*s = 0. Let a(m) be the second derivative of s*m**2 + 0 - 1/3*m**3 + 1/3*m**4 - 1/40*m**5 + 21*m - 1/20*m**6. Factor a(k).
-k*(k - 1)*(k + 2)*(3*k - 2)/2
Let k(x) be the first derivative of 9*x**4/4 + 628*x**3/3 + 481*x**2/2 - 138*x - 352. Solve k(y) = 0 for y.
-69, -1, 2/9
Determine m, given that -21*m**2 - 96 - 3/4*m**3 + 93*m = 0.
-32, 2
Determine x, given that -1/4*x**4 - 1/2*x**3 + 0*x**2 + 1/4 + 1/2*x = 0.
-1, 1
Suppose 9*l - 4