- 96*x**2 + 0*x**3 + 1/51*x**4 - 2/255*x**5 + 1/1020*x**6 + 0. Factor t(z).
2*z*(z - 2)**2/17
Find q, given that -10*q**2 + 91*q**3 + 8471*q**5 + 55 - 8476*q**5 - 105*q - 45*q**4 + 19*q**3 = 0.
-11, -1, 1
Let i be 102/(-68) - (-4417)/2940. Let a(y) be the third derivative of 2/21*y**3 - i*y**5 + 1/42*y**4 + 0*y - 31*y**2 - 1/840*y**6 + 0. Solve a(g) = 0 for g.
-2, -1, 2
Let q = -904793 + 904798. Let -1/9*c**q - 19/9*c**4 + 0*c + 0 + 0*c**2 + 20/9*c**3 = 0. Calculate c.
-20, 0, 1
Let k(n) = -2*n**3 - 189*n**2 - 268*n - 107. Let r(q) = -q**3 - 62*q**2 - 89*q - 36. Let j(u) = 4*k(u) - 13*r(u). Factor j(m).
5*(m + 1)**2*(m + 8)
Let v(s) be the second derivative of s**5/30 - 5*s**4/9 - 8*s**3/3 + 15669*s. Factor v(x).
2*x*(x - 12)*(x + 2)/3
Let q(c) be the first derivative of -3*c**4/32 + 11*c**3/8 - 69*c**2/16 - 105*c/8 - 520. Determine p so that q(p) = 0.
-1, 5, 7
Let t be -9 + (12/(-6) - (-13)/1). Suppose 0 - 1/5*x**3 + 0*x + 4/5*x**t = 0. Calculate x.
0, 4
Let x = 6 + -9. Let d(t) = -t**3 - 7*t**2 - 7*t + 3. Let i(h) = 13*h + 6*h**2 + h**3 + 0 - 2 - 7*h. Let f(g) = x*d(g) - 4*i(g). Determine y so that f(y) = 0.
-1
Let s(n) be the first derivative of n**6/18 + 2*n**5 - 16*n**4/3 - 4206. Determine j, given that s(j) = 0.
-32, 0, 2
Let l = -259 + 258. Let g(z) = z**3 - z**2 - z. Let v(t) = -8*t**3 - 100*t**2 - 1344*t + 1458. Let a(k) = l*v(k) - 6*g(k). Determine x so that a(x) = 0.
-27, 1
Let m = 468 - 442. Let n be (m + -25)*(-9)/(-3). Factor 0*l**2 + 2/3*l + 0 - 2/3*l**n.
-2*l*(l - 1)*(l + 1)/3
Let z = 101/616 + 1/56. Let x = -94032 - -94035. Factor z*o**2 + 2/11*o**x + 0*o + 0.
2*o**2*(o + 1)/11
Let v(x) be the second derivative of x**7/42 - x**5/5 + 952*x. Factor v(i).
i**3*(i - 2)*(i + 2)
Let c(l) be the first derivative of 20/3*l**3 + 50 + 16*l**2 - 6*l**4 - 28*l. Factor c(a).
-4*(a - 1)**2*(6*a + 7)
Let p(m) be the third derivative of m**6/60 - 47*m**5/135 + 10*m**4/27 - 1287*m**2. Suppose p(j) = 0. Calculate j.
0, 4/9, 10
Factor 84*i - 515*i**2 - 134 - 527*i**2 + 52*i + 1040*i**2.
-2*(i - 67)*(i - 1)
Let r(l) be the second derivative of l**4/24 + 5*l**3/3 + 3*l + 52. Find z, given that r(z) = 0.
-20, 0
Let j(k) = k**4 + 2*k**3 + k. Let c(s) = -16*s**4 + 22*s**3 + 582*s**2 - 16520*s + 15876. Let n(m) = -2*c(m) - 28*j(m). Factor n(l).
4*(l - 21)**2*(l - 1)*(l + 18)
Factor 1/7 + 11/7*f**2 + 12/7*f.
(f + 1)*(11*f + 1)/7
Let l(w) = -9*w**2 + 294*w + 63. Let h(z) = -5*z**2 + 293*z + 62. Let s(g) = -6*h(g) + 5*l(g). Solve s(o) = 0.
-19, -1/5
Let r(g) be the third derivative of -g**5/150 - 4*g**4/15 + 12*g**3/5 - 62*g**2 + 2. Suppose r(a) = 0. Calculate a.
-18, 2
Let v(s) = -s**3 + 5*s**2 - 4*s - 2. Suppose 773*m - 767*m - 12 = 0. Let j be v(m). Factor 27/2*g**j - 15*g + 6*g**3 - 9/2.
3*(g - 1)*(g + 3)*(4*g + 1)/2
Let p(f) = 6*f**3 - 6*f - 4 + 6*f**4 + 6 - 6*f**2 + 3 + 0. Let x(j) = 7*j**4 + 7*j**3 - 7*j**2 - 7*j + 6. Let z(t) = 6*p(t) - 5*x(t). Factor z(u).
u*(u - 1)*(u + 1)**2
Let t = -10515251530 - -241945422493228/23009. Let g = t + -2/3287. Determine d, given that 3/7*d**5 - 6/7*d**4 + g*d + 0 + 12/7*d**2 - 9/7*d**3 = 0.
-1, 0, 2
Let m be (-3)/(3 - 208/64) - 10. Factor -4/9*g**2 + m*g - 8/9.
-2*(g - 4)*(2*g - 1)/9
Let b(x) be the second derivative of x**4/72 + 1196*x**3/9 + 1430416*x**2/3 + 1675*x. Factor b(g).
(g + 2392)**2/6
Suppose 5*t - 4 = 1. Suppose -6*r + 4*r - t = m, 24 = 2*r - 4*m. Factor -4*c + 7*c**2 + 4*c**3 + c**r + 8*c.
4*c*(c + 1)**2
Let g = -216 + 221. Suppose -5 = -u + g*m + 20, 0 = -4*u - 3*m - 15. Suppose -2/5*n**3 + u + 4/5*n**5 - 6/5*n**2 + 6/5*n**4 - 2/5*n = 0. Calculate n.
-1, -1/2, 0, 1
Let m(t) be the second derivative of -t**5/4 - 1255*t**4/12 + 9*t - 63. Factor m(k).
-5*k**2*(k + 251)
Let c(b) be the first derivative of 238 + 120/13*b**2 - 2/39*b**3 - 7200/13*b. Factor c(s).
-2*(s - 60)**2/13
Determine b, given that 0 + 322/5*b + 2/5*b**3 - 12*b**2 = 0.
0, 7, 23
Determine d, given that 46/9*d + 2/9*d**2 - 116/3 = 0.
-29, 6
Let c(i) be the first derivative of -i**7/140 + 11*i**6/80 - 9*i**5/20 + 7*i**4/16 + i**3/3 + 70*i - 3. Let j(k) be the third derivative of c(k). Factor j(l).
-3*(l - 7)*(l - 1)*(4*l - 1)/2
Let m be (-15 - 448/(-24))*15/33. Let -40/3*p - 35/3 - m*p**2 = 0. What is p?
-7, -1
Let s(n) be the second derivative of n**4/36 + 145*n**3/18 + 24*n**2 - 6*n + 106. Determine o, given that s(o) = 0.
-144, -1
Let o(m) be the first derivative of m**3/12 + 79*m**2/2 + 3221. Let o(a) = 0. Calculate a.
-316, 0
Let p(u) be the second derivative of -u**7/2520 + 59*u**6/360 - 3481*u**5/120 + 71*u**4/4 + 271*u. Let z(g) be the third derivative of p(g). Factor z(r).
-(r - 59)**2
Suppose -6*h + 77*h - 1103 = 601. Let t(v) be the third derivative of 0*v + 0 - 1/160*v**6 - 1/10*v**5 - 1/2*v**4 - h*v**2 + 0*v**3. Factor t(y).
-3*y*(y + 4)**2/4
Suppose -90*z + 0 + 181/2*z**2 - 1/2*z**3 = 0. What is z?
0, 1, 180
Find p such that -73/6*p - 1/6*p**2 + 25 = 0.
-75, 2
Let y(h) be the second derivative of -19*h**4/2 - 49*h**3/3 - 10*h**2 + 2915*h - 3. Factor y(q).
-2*(3*q + 1)*(19*q + 10)
Let q(g) = -2*g**3 - 2*g**2 + g - 1. Let k(l) = 38*l**3 + 16*l**2 + 30*l + 18. Let j(x) = -2*k(x) - 36*q(x). Solve j(a) = 0.
0, 4, 6
Let v(o) = 4*o**4 - 6*o**3 - 39*o**2 - 7*o. Let n(j) = -j**3 + 5*j**2 - j. Let m(g) = -n(g) - v(g). Solve m(y) = 0 for y.
-2, -1/4, 0, 4
Suppose -12*f = -13*f + 2. Suppose f*l + 33 = 5*n + 13, 15 = -3*l. What is v in -20 - 1445*v**n + 19*v - 289*v - 70*v = 0?
-2/17
Factor -240*w + 1155*w**2 + 974*w**2 - 2133*w**2.
-4*w*(w + 60)
Let k(o) be the second derivative of o**4/78 + 213*o**3/13 + 7316*o. Factor k(b).
2*b*(b + 639)/13
Let k(i) be the third derivative of 3/28*i**4 - 1/42*i**6 - 1/735*i**7 + 1/21*i**5 + 1/1176*i**8 - 3/7*i**3 + 0 + 0*i + 133*i**2. Solve k(z) = 0 for z.
-3, -1, 1, 3
Let x(q) = q**3 + 20*q**2 - 28*q + 35. Let z be x(-21). Factor 93*o + z + 302 - 43*o**2 - o**3 - 533*o.
-(o - 1)*(o + 22)**2
Let y = 18021359/33 + -545982. Let f = 361/3 - y. Suppose 2/11*k**2 - 20/11 - f*k = 0. Calculate k.
-2, 5
Suppose -4*z - 904 - 4364 = 0. Let h = 5269/4 + z. Factor h*f**2 + 0 + 1/2*f.
f*(f + 2)/4
Let m(f) be the second derivative of -f**4/12 + 3*f**3/2 - 7*f**2 + 10*f - 4. Let x be m(5). Find d such that -5 - x*d + 5*d**2 - 8*d - 10 + 24*d = 0.
-3, 1
Let r(j) = 70*j + 29*j**2 + 159*j + 319*j - 33*j**2 + 64 - 88*j**2. Let z(g) = 92*g**2 - 547*g - 60. Let i(d) = 3*r(d) + 4*z(d). Let i(t) = 0. What is t?
-2/23, 6
Factor 2/3*c**2 + 32/3 + 68/9*c - 2/9*c**3.
-2*(c - 8)*(c + 2)*(c + 3)/9
Let x be ((-1364573)/1666)/((-36)/(-14)). Let c = 4228/9 + x. Factor 0*v - c*v**4 + 55*v**3 + 0 - 5*v**2.
-5*v**2*(11*v - 2)**2/4
Let d be (-621)/8694*(-7 - 1). Let d*g**3 + 6/7*g**2 + 0*g - 2/7*g**4 + 0 = 0. What is g?
-1, 0, 3
Let v(n) be the first derivative of 4*n**3/3 - 628*n**2 + 1252*n - 65. Suppose v(i) = 0. What is i?
1, 313
Let y(m) be the second derivative of m**4/84 - 5*m**3/6 + 173*m. Factor y(l).
l*(l - 35)/7
Let s(v) be the third derivative of 1445/6*v**3 - 11/4*v**5 + 3*v**2 + 425/8*v**4 + 0*v + 1/24*v**6 - 8. Factor s(y).
5*(y - 17)**2*(y + 1)
Factor 475 - 405*q + 1/4*q**4 + 0*q**3 - 281/4*q**2.
(q - 19)*(q - 1)*(q + 10)**2/4
Suppose -1/3*d**3 - 2760*d - 8464/3 + 61*d**2 = 0. Calculate d.
-1, 92
Suppose -4*d - 9*x = -16, -142*x = 4*d - 146*x - 16. Let i(t) be the first derivative of 7/3*t**2 - 7/6*t**d - 4/9*t**3 + 4/3*t + 37. Factor i(z).
-2*(z - 1)*(z + 1)*(7*z + 2)/3
Let p(t) be the second derivative of t**4/12 + 5*t**3/6 - 6*t**2 + 6*t. Let f be p(-7). Solve 12*v - 10*v - 2*v**f - 2*v**2 + 5*v**2 = 0.
-2, 0
Let t(g) be the second derivative of -2*g**7/21 + 4*g**6/3 - 11*g**5/5 - 70*g**4/3 - 385*g - 3. Let t(j) = 0. Calculate j.
-2, 0, 5, 7
Let l be (24/(-20))/(7/(-35)). Let s be (3/l)/((-23)/(-138)). Factor 0 + 3/5*r**2 + 1/5*r**4 + 0*r + 4/5*r**s.
r**2*(r + 1)*(r + 3)/5
Let p be 5645/11 + -5*(-8)/(-220). Let x = p + -509. Factor 0*g**3 + 0 + 4/9*g**x - 2/9*g - 4/9*g**2 + 2/9*g**5.
2*g*(g - 1)*(g + 1)**3/9
Let l(z) be the second derivative of -z**4/36 - 25*z**3/18 + 9*z**2 - 152*z. Solve l(f) = 0.
-27, 2
Let a(x) = 7870*x + 24. Let y be a(1). Factor y + 108*l - 7894 + 3*l**2.
3*l*(l + 36)
Factor 570/7*z - 64/7*z**2 + 2/7*z**3 - 900/7.
2*(z - 15)**2*(z - 2)/7
Suppose -3*m = 5*k - 2870, 3*k - 2309 = -k - 5*m.