 y, 6*g - 3*g = -2*y - 10. Let t(j) = 3*j**2 + 7*j + 2. Let r(l) = -l**2 - l - 1. Let s(b) = g*r(b) - t(b). Factor s(f).
(f - 2)*(f - 1)
What is a in -2195*a**4 + 8*a**3 + 2198*a**4 + a**2 - 4 + a**3 - 8*a - a**3 = 0?
-2, -1, -2/3, 1
Let -3/5*f**4 + 0*f + 6/5*f**3 + 0*f**2 - 3/5*f**5 + 0 = 0. What is f?
-2, 0, 1
Let o(l) be the first derivative of -2/9*l**2 + 0*l - 30 + 2/27*l**3. Factor o(t).
2*t*(t - 2)/9
Let h = 21 - 19. Factor -d**h - 13 + 22 + 9*d + 4*d**2 - 21*d.
3*(d - 3)*(d - 1)
Find f, given that 6/5*f**2 - 3/5*f**3 + 0 + 0*f = 0.
0, 2
Let o = 199 + -115. Let d be ((-1)/(-9))/((-7)/(o/(-6))). Factor -10/9*z**4 + 2/3*z**5 + 0*z + d*z**2 + 2/9*z**3 + 0.
2*z**2*(z - 1)**2*(3*z + 1)/9
Let s be ((-274)/(-411))/(12/16). Factor -2/9*j**2 - 2/3 - s*j.
-2*(j + 1)*(j + 3)/9
Let s(q) be the first derivative of -4*q**5/5 + 2*q**4 + 4*q**3 - 16*q**2 + 16*q - 643. Factor s(y).
-4*(y - 2)*(y - 1)**2*(y + 2)
Factor -15*d**3 - 3/5*d**4 - 429/5*d**2 + 507/5*d + 0.
-3*d*(d - 1)*(d + 13)**2/5
Let t(u) be the third derivative of 0*u - 13*u**2 + 1/9*u**3 + 1/27*u**4 + 1/270*u**5 + 0. Let t(j) = 0. What is j?
-3, -1
Suppose 53*g + 103 - 368 = 0. Let k(f) be the third derivative of -1/3*f**4 - 1/30*f**6 + 0*f + 0*f**3 - 3*f**2 - 1/5*f**g + 0. Determine j so that k(j) = 0.
-2, -1, 0
Let i be ((-3)/(-5))/((6/(-75))/((-52)/715)). Factor 2/11*o**4 + i*o**2 - 2/11*o + 0 - 6/11*o**3.
2*o*(o - 1)**3/11
Let p(d) be the first derivative of -d**6/8 - 3*d**5/20 + 3*d**4/4 + d**3 - 75. Find c such that p(c) = 0.
-2, -1, 0, 2
Let j be (-1)/((-2)/6) + 11 + -4. Factor -18*q**2 - j*q**4 + 18*q**3 - 45 + 8*q**3 + 49 - 2*q + 0*q**3.
-2*(q - 1)**3*(5*q + 2)
Let h(c) be the first derivative of -c**7/630 + c**6/180 + c**5/180 - c**4/36 - 29*c**2/2 - 19. Let y(m) be the second derivative of h(m). Solve y(x) = 0 for x.
-1, 0, 1, 2
What is v in -12/5*v + 32/5 - 2/5*v**2 = 0?
-8, 2
Let d = 3455/198 + 5/99. Let r = -97/6 + d. Factor 2*a**2 - 4/3*a + 1/3*a**4 - r*a**3 + 1/3.
(a - 1)**4/3
Let q(c) be the third derivative of -c**6/300 - 9*c**5/10 - 405*c**4/4 - 6075*c**3 - 170*c**2. Factor q(z).
-2*(z + 45)**3/5
Let n(c) = -2*c**2 - 326*c + 325. Let d(j) = -12*j**2 - 1628*j + 1624. Let m(r) = 3*d(r) - 16*n(r). Factor m(v).
-4*(v - 82)*(v - 1)
Let u(i) = -11*i**3 + 25*i**2 + 4*i - 32. Let d(m) = -24*m**3 + 51*m**2 + 12*m - 63. Let y(c) = 4*d(c) - 9*u(c). Factor y(a).
3*(a - 6)*(a - 2)*(a + 1)
Let x(p) be the third derivative of 0 - 9*p**2 + 1/4*p**4 - 2/3*p**3 + 1/6*p**5 + 0*p. Determine h so that x(h) = 0.
-1, 2/5
Let j be (-5)/10*4 - (-16)/26. Let g = 85/52 + j. Factor g*s + 0*s**2 + 0 - 3/2*s**3 - 3/4*s**5 - 2*s**4.
-s*(s + 1)**3*(3*s - 1)/4
Let p(c) = -852*c + 3410. Let m be p(4). Suppose 0 - 2/13*o**m + 4/13*o = 0. What is o?
0, 2
Let j be -15*14/(-245)*4/12. Factor -32*f + j*f**4 - 26/7*f**3 + 128/7 + 120/7*f**2.
2*(f - 4)**3*(f - 1)/7
Let h(v) be the third derivative of -v**5/120 - 7*v**4/12 + 29*v**3/12 + 11*v**2. Factor h(m).
-(m - 1)*(m + 29)/2
Let a(f) be the second derivative of f**7/112 - f**6/80 - 3*f**5/32 + f**4/32 + f**3/2 + 3*f**2/4 + 352*f. Factor a(s).
3*(s - 2)**2*(s + 1)**3/8
Let b = 6 + -1. Suppose 4*j + j + 10 = -b*n, -4 = n. Factor 7*g**2 - 19*g**j + 5*g - 13*g.
-4*g*(3*g + 2)
Factor 3/8*x**2 - 3/8 + 1/8*x - 1/8*x**3.
-(x - 3)*(x - 1)*(x + 1)/8
Let x(y) be the second derivative of y**6/75 - y**5/25 + 2*y**3/15 - y**2/5 - 11*y + 1. Suppose x(v) = 0. Calculate v.
-1, 1
Let z = 1253102/11 - 114323. Let j = z + 405. Determine h, given that -j*h**2 - 4/11 - 10/11*h = 0.
-2, -1/2
Suppose 5*v - 23 = q, -565*q = -4*v - 561*q + 28. Factor -32/9 + v*x**2 + 136/9*x.
4*(x + 4)*(9*x - 2)/9
Let x(k) = k**3 - 15*k**2 + k - 12. Let s be x(15). Solve 6/5*c**s + 6/5*c**2 + 0 + 2/5*c + 2/5*c**4 = 0 for c.
-1, 0
Let d(w) be the third derivative of -5*w**8/336 - w**7/7 - 13*w**6/24 - w**5 - 5*w**4/6 + w**2 - 132*w. Determine y, given that d(y) = 0.
-2, -1, 0
Let s(z) be the first derivative of 1/2*z**4 + 7 + 10/3*z**3 + 3*z**2 - 2/5*z**5 + 0*z. Factor s(c).
-2*c*(c - 3)*(c + 1)**2
Find k such that 2/3*k**3 + 38/3*k**2 + 110/3*k - 242 = 0.
-11, 3
Let -48*w - 23 - 7 + 4*w**2 + 30 = 0. What is w?
0, 12
Let u(n) be the second derivative of -3*n + 0*n**2 - 4/9*n**3 + 0 - 1/6*n**5 - 1/45*n**6 - 4/9*n**4. Factor u(b).
-2*b*(b + 1)*(b + 2)**2/3
Factor -14/3*h**2 - 16/3 - 28/3*h - 2/3*h**3.
-2*(h + 1)*(h + 2)*(h + 4)/3
Let m(n) be the third derivative of n**5/120 + n**4/24 - 2*n**3/3 - 115*n**2. Solve m(w) = 0 for w.
-4, 2
Let p(x) be the first derivative of 3*x**5/5 - 3*x**4/4 + 184. Factor p(v).
3*v**3*(v - 1)
Let t(x) = 161*x + 20611. Let n be t(-128). Find y such that 18/7*y - 2/7*y**n + 54/7 - 6/7*y**2 = 0.
-3, 3
Let m(i) = i**2 - 9*i - 10. Let j be m(10). Suppose j = -2*f + 7*f. Find k, given that k**4 + 2*k - 4 + 3 - 2*k**3 + f = 0.
-1, 1
Factor -150*s + 1242236 + 2*s**3 + 87*s**2 - 1242160 - 15*s**2.
2*(s - 1)**2*(s + 38)
Solve 14*k**5 + 424*k**2 + 180*k**4 + 408*k**3 - 2418 + 14*k**5 + 204*k + 2454 = 0.
-3, -1, -3/7
Let s(u) be the first derivative of -7*u**6/30 + 23*u**5/20 + 11*u**4/6 - 4*u**3/3 + 4*u - 33. Let d(g) be the first derivative of s(g). Factor d(a).
-a*(a - 4)*(a + 1)*(7*a - 2)
Let r be (-1 - 38/(-18))*(1053/26)/27. Factor -8/3*k - 1/3*k**3 + 4/3 + r*k**2.
-(k - 2)**2*(k - 1)/3
Suppose -5*h = -3*h + 5*k - 16, -2*k - 8 = -4*h. Factor 26*b**2 - 8 - b**3 - 5*b**3 + b**3 - 20*b - 2*b**h.
-(b - 2)**2*(7*b + 2)
Let r be ((-6)/70)/((-297)/90 - -3). Factor -10/7*p**3 - r*p + 4/7 - 16/7*p**2.
-2*(p + 1)**2*(5*p - 2)/7
Let d be (0 + 5)*10/25. Let s = d + 1. Determine t, given that -t**3 - 4*t**3 - 3*t + 4*t**s + 4*t**3 = 0.
-1, 0, 1
Suppose 0 = -g + 433 - 90. Let f = -340 + g. Let -u**4 + 0*u + 1/4*u**2 + 1/8*u**f + 5/8*u**5 + 0 = 0. Calculate u.
-2/5, 0, 1
Let b(h) be the third derivative of h**6/180 - 2*h**5/9 + 17*h**4/9 - 64*h**3/9 + h**2 + 35. Factor b(t).
2*(t - 16)*(t - 2)**2/3
Let s be (-462)/(-468) + 2*(-1)/13. Let p = -7/18 + s. Factor p*z - 2/9*z**2 - 2/9.
-2*(z - 1)**2/9
Suppose -68*t = -14*t. Let u(x) be the third derivative of 2/9*x**3 - 1/90*x**5 - 5*x**2 + t*x + 0 - 1/36*x**4. Suppose u(r) = 0. Calculate r.
-2, 1
Suppose -2*j - 13 = -3*o - 2*o, 4*o - 3*j - 9 = 0. Let h = 97 - 97. Factor 2/7*s**2 + 0*s + 2/7*s**o + h.
2*s**2*(s + 1)/7
Let w(c) be the third derivative of -c**9/22680 + c**8/3150 - c**7/1575 + 41*c**3/6 - 2*c**2 - 16. Let m(k) be the first derivative of w(k). Factor m(i).
-2*i**3*(i - 2)**2/15
Let d = 86 + -66. Solve 4*o**5 + 30*o**4 - 2*o**5 + 3*o**5 - d*o**4 + 5*o**3 = 0.
-1, 0
Suppose 2*l - 3*l - 21 = -4*k, 5*l = 4*k - 41. Let n be (-178)/(-5)*(-175)/(-70). Factor -8*c - n + 97 + k*c**3 + 4*c - 8*c.
4*(c - 1)**2*(c + 2)
Let n(g) be the first derivative of g**6/9 + 4*g**5/5 + 11*g**4/6 + 4*g**3/9 - 4*g**2 - 16*g/3 - 43. Factor n(f).
2*(f - 1)*(f + 1)*(f + 2)**3/3
Let k(t) be the third derivative of 2*t**7/735 + t**6/105 - t**5/21 - t**4/7 + 4*t**2 - 13*t. Determine y, given that k(y) = 0.
-3, -1, 0, 2
Let j be 9/(-45)*-10*(1 - 5/7). Let -2/7 + 1/7*m**5 - j*m**3 + 2/7*m**2 + 3/7*m + 0*m**4 = 0. What is m?
-2, -1, 1
Let u(b) = b + 10. Let n be u(-5). Suppose -5*k + 0 = 5, 0 = -3*a + n*k + 14. Factor -j**a + 9*j - 18*j + 9*j.
-j**3
Let n(y) be the second derivative of y**5/30 - y**4/18 - 2*y + 49. Factor n(j).
2*j**2*(j - 1)/3
Suppose 0 = -86*d - 187*d + 819. Find b such that -35/2*b**d + 2*b**4 + 87/2*b**2 - 8 - 20*b = 0.
-1/4, 1, 4
Let o = 96 - 94. Let v(q) be the second derivative of 0*q**3 + 3/10*q**5 + 1/6*q**4 + 0*q**2 + 0 + 2/15*q**6 + o*q. Factor v(r).
2*r**2*(r + 1)*(2*r + 1)
Suppose -34*h**3 + 106*h**3 - 3*h**2 - 38*h**3 + 0*h**2 - 33*h**3 = 0. Calculate h.
0, 3
Let a(t) be the third derivative of -t**5/120 + t**4/16 - 5*t**2 - 1. What is z in a(z) = 0?
0, 3
Let a(j) = 10*j**2 + 3*j - 43. Let h(w) = w**2 + w - 3. Let l(q) = -5*a(q) + 45*h(q). Factor l(t).
-5*(t - 8)*(t + 2)
Factor -84*z - 2/9*z**2 - 7938.
-2*(z + 189)**2/9
Let h be (2035/259 - (2 + -5)/21) + -6. Find w, given that 9/8*w**3 + 0*w + 0 - 3/8*w**4 - 3/4*w**h = 0.
0, 1, 2
Let q(x) be the second derivative of -x**7/21 - 29*x**6/15 - 25*x**5 - 293*x**4/3 - 533*x**3/3 - 169*x**2 + 185*x. Factor q(u).
-2*(u + 1)**3*(u + 13)**2
Let k = -1961/11 - -179. Let h = -9245/11 + 841. Find