2*x**2 + 7/132*x**4 + 0. Factor u(y).
2*y*(y + 7)/11
Let d(h) = -h**5 + h**4 - h**2. Let i(a) = -24*a**2 + 4*a**4 + a**4 + 21*a**2 + 5*a**5 - a**5. Let q(s) = 3*d(s) - i(s). Factor q(v).
-v**4*(7*v + 2)
Determine p so that -24/5*p**3 + 22/5 - 2/5*p**4 + 24/5*p - 4*p**2 = 0.
-11, -1, 1
Let v(r) be the third derivative of 3*r**8/784 + 13*r**7/105 + 163*r**6/210 + 178*r**5/105 + 16*r**4/21 + 986*r**2. Solve v(i) = 0.
-16, -2, -2/9, 0
Let z(o) be the second derivative of -19*o**6/180 - 29*o**5/20 - 13*o**4/3 - 89*o**3/18 - 7*o**2/4 + 1429*o. What is a in z(a) = 0?
-7, -1, -3/19
Suppose 0 = -0*q + 38*q - 608. Suppose 19*a**4 - 16 - 13*a**2 - q*a + 22*a**3 + 17*a**2 + 2*a**5 - 13*a**4 + 6*a**4 - 8*a = 0. Calculate a.
-2, -1, 1
Let t(p) be the first derivative of 3/5*p**2 + 0*p - 62 - 4/15*p**3 - 1/10*p**4. Solve t(q) = 0 for q.
-3, 0, 1
Suppose 14 = j + 66. Let g = -43 - j. Determine p so that -3*p**5 + g*p**4 - 5*p**2 - 10*p**2 + p**2 + 2*p**2 = 0.
-1, 0, 2
Let p(b) = -b + 2. Let i(m) = -m**2 - 4*m - 4. Suppose -3*s - 11 = 3*h - 5*h, 4*h = -5*s + 11. Let q(u) = h*p(u) + 2*i(u). Factor q(y).
-2*y*(y + 6)
Let x = -1/4392 + 9151/4392. Let w(l) be the third derivative of 34*l**2 - 25/4*l**4 - 15/2*l**3 + 0*l + 0 - x*l**5. Factor w(z).
-5*(5*z + 3)**2
Let i = -1165 - -1645. Let k = -465 + i. Factor -k - 3/5*c**2 + 6*c.
-3*(c - 5)**2/5
Let n(b) be the first derivative of 2*b**3/15 + 33*b**2/10 + 16*b/5 - 3712. Factor n(i).
(i + 16)*(2*i + 1)/5
Suppose 241*r - 8 = 233*r + 16. Let b(n) be the first derivative of 16 + 12*n + 1/9*n**r - 2*n**2. Factor b(c).
(c - 6)**2/3
Let a be 3 + 2 + 3 - 201/(-67). Let g(f) be the first derivative of a - 1/14*f**4 + 1/7*f**2 - 2/21*f**3 + 2/7*f. Solve g(d) = 0 for d.
-1, 1
Let m be ((-10)/30)/((-10)/14 - (57580/2835 - 21)). Suppose -3*d = 2*a - 4*a + 10, 5 = a. Factor d - 15*q**2 + m*q**3 + 3/2*q.
3*q*(q - 1)*(9*q - 1)/2
Let z be 45/5*(-14)/(6 - 104). Let z*t**4 - 3/7 - 6/7*t**2 - 12/7*t + 12/7*t**3 = 0. What is t?
-1, -1/3, 1
Let l be 20 + -9 - (5 - 4). Let m be 4/l + (-30)/200. Factor 1/4*a**5 + 1/4*a**4 + 0 + 1/2*a - m*a**2 - 3/4*a**3.
a*(a - 1)**2*(a + 1)*(a + 2)/4
Let q = 51 - 40. Suppose q = 3*r - 34. What is v in -10*v + 15*v**2 + 11*v**2 + 7*v**2 - 28*v**2 - r = 0?
-1, 3
Let l(f) = -f**5 - 2*f**4 + 60*f**3 - 82*f**2 + 21*f + 4. Let t(n) = 2*n**5 + 4*n**4 - 60*n**3 + 79*n**2 - 22*n - 3. Let p(s) = 3*l(s) + 4*t(s). Factor p(a).
5*a*(a - 1)**3*(a + 5)
Factor -19/3*f**2 - 40*f + 1/3*f**3 + 0.
f*(f - 24)*(f + 5)/3
Let t(j) be the first derivative of j**4/10 + 38*j**3/15 + 31*j**2/5 - 102*j/5 + 691. Determine f so that t(f) = 0.
-17, -3, 1
Let t be 2/((-6)/9) - -5. Let m = 4704 + -4704. Determine l, given that m - 2/9*l + 2/9*l**t = 0.
0, 1
Let z(y) be the third derivative of y**8/1176 - y**7/35 - 2*y**6/35 + 22*y**5/105 - 1615*y**2. Determine x so that z(x) = 0.
-2, 0, 1, 22
Let h = -4741986/7 - -677427. Let o = -115/14 + 17/2. Solve -h*x**4 + o*x**5 + 0*x - 2/7*x**3 + 0*x**2 + 0 = 0 for x.
-1/2, 0, 2
Suppose -9 = 91*r - 94*r. Factor 113*f**3 - 8*f**5 - 98*f**r + 10*f**2 - 12*f**5 - 20*f**4 - 5*f.
-5*f*(f + 1)**2*(2*f - 1)**2
Let m be (-5 + (-16)/(-4))*(-10)/(-1). Let w be 3 + -9 - 64/m. Find o, given that 0 + 2/5*o**5 - 4/5*o - w*o**4 + 2*o**2 - 6/5*o**3 = 0.
-2, 0, 1
Let u be 32/((-2048)/96) + (6 - 3) + -3 + 2. Factor w**2 - 1/2 - 1/2*w + w**3 - u*w**5 - 1/2*w**4.
-(w - 1)**2*(w + 1)**3/2
Let q(n) = -5*n**3 + n**2 - 3*n + 1. Let u(m) = -16*m**3 - 1272*m**2 - 9*m + 3. Let x(k) = 15*q(k) - 5*u(k). Factor x(v).
5*v**2*(v + 1275)
Let x(v) be the first derivative of 5329*v**4/4 + 1533*v**3 - 705*v**2/2 + 25*v + 1606. Factor x(o).
(o + 1)*(73*o - 5)**2
Let v(b) be the third derivative of -7*b**6/8 - 277*b**5/6 + 100*b**4/3 - 10*b**2 + 11. Solve v(p) = 0 for p.
-80/3, 0, 2/7
Factor 1/5*i**2 - 3/5*i - 4/5.
(i - 4)*(i + 1)/5
Let n(l) be the third derivative of l**5/150 + 248*l**4/15 + 246016*l**3/15 - 2*l**2 - 501*l. Factor n(s).
2*(s + 496)**2/5
Let y(z) be the third derivative of -z**8/70560 - z**7/882 + z**6/120 - z**5/60 + z**4/3 + 3*z**2 - z. Let l(v) be the third derivative of y(v). Factor l(k).
-2*(k - 1)*(k + 21)/7
Let l(a) = -19*a + 36. Let f be l(6). Let j = 82 + f. Find o, given that 2*o**2 + o**3 + 848*o - o**j - 2*o**3 - 848*o = 0.
-2, 0, 1
Let r be (-9904)/(-32)*(4/7 - 0). Let f = r - 176. Let 4/7 - 2*l - f*l**4 + 2*l**3 + 2/7*l**2 = 0. What is l?
-1, 1/3, 1, 2
Let y(c) = c**4 - 3*c**3 - 2*c**2 - c. Let p(v) = 3*v**4 - 72*v**3 - 147*v**2 + 438*v - 252. Let x(f) = -p(f) + 6*y(f). Factor x(b).
3*(b - 1)**2*(b + 6)*(b + 14)
Let k(t) = -6*t + 71. Let u be k(4). Suppose -u = -14*f - 19. Factor -34/5*g + 8/5*g**f + 8/5.
2*(g - 4)*(4*g - 1)/5
Suppose 73*r + 53*r - 378 = 0. Let f(q) be the first derivative of 8*q + 16 - 1/2*q**4 + 7*q**2 + 4/3*q**r. Let f(m) = 0. What is m?
-1, 4
Let g(v) be the second derivative of v**6/240 + v**5/12 + v**4/3 + 139*v**2/2 + v. Let h(z) be the first derivative of g(z). Solve h(c) = 0 for c.
-8, -2, 0
Let b(n) = -33*n**2 - 35*n - 234. Let t(v) = 8*v**2. Let w(o) = -b(o) - 4*t(o). Solve w(j) = 0.
-26, -9
Let p(j) = -46*j - 8 - 29 + 62*j - j**3 + 12*j**2. Let z be p(13). Factor -4/13 + 2/13*b**z - 2/13*b.
2*(b - 2)*(b + 1)/13
Let k(o) be the second derivative of 0*o**2 - 35/108*o**4 - 2/189*o**7 + 5*o + 4/15*o**5 + 10 + 1/9*o**3 - 1/18*o**6. Suppose k(w) = 0. Calculate w.
-6, 0, 1/4, 1
Suppose -2*o - 5 = -33. Let s be ((-16)/o)/((-26)/91). Factor -3*j + s*j**3 - 2*j**4 + 0*j**2 - 5*j**2 - j + 7*j**2.
-2*j*(j - 2)*(j - 1)*(j + 1)
Find g such that -51/4*g - 27/2 - 1/4*g**3 - 7/2*g**2 = 0.
-9, -3, -2
Suppose -18 = 5*x + 4*w, -96*x - 3*w = -93*x + 15. Factor -x*q + 0 + 0*q**2 + 2/9*q**3.
2*q*(q - 3)*(q + 3)/9
Let v(q) be the third derivative of -2/525*q**7 + 0*q + 0 - 2/25*q**5 + 0*q**3 + 50*q**2 + 0*q**4 - 1/30*q**6. Find o such that v(o) = 0.
-3, -2, 0
Let u(d) be the third derivative of d**10/6048 - d**9/1008 + d**8/672 + d**4/4 - d**3/3 + d**2 - 15. Let y(c) be the second derivative of u(c). Factor y(x).
5*x**3*(x - 2)*(x - 1)
Solve 65*a + 515*a - 121 + a**2 + 705 - 5*a**2 = 0 for a.
-1, 146
Factor 28657*d**2 + 740*d - 28661*d**2 + 192 + 1304.
-4*(d - 187)*(d + 2)
Determine j, given that 816*j**3 + 528 + 1864*j**2 - 1072*j**4 + 2219*j**4 + 4*j**5 - 1043*j**4 + 1676*j = 0.
-12, -11, -1
Let r(u) be the second derivative of u**6/2700 + 53*u**5/900 + 13*u**4/45 - u**3/3 + 109*u**2/2 - 229*u. Let p(a) be the second derivative of r(a). Factor p(m).
2*(m + 1)*(m + 52)/15
Let f(w) be the third derivative of 1/390*w**5 - 11/78*w**4 + 121/39*w**3 + 0 + 35*w + w**2. Determine x so that f(x) = 0.
11
Let d(z) = z - 16*z**2 + 2*z - 8 + 8*z - 19 + 12*z. Let y(m) = -10*m**2 + 11*m - 13. Let g(u) = 3*d(u) - 5*y(u). Suppose g(i) = 0. What is i?
-8, 1
Factor -3712*v**2 - 2/7*v**4 + 53824/7*v - 460/7*v**3 + 0.
-2*v*(v - 2)*(v + 116)**2/7
Let c be 2 + ((-7 + 70)/(-3) - 2). Let o be ((60/25)/4)/((-7)/c). Determine l, given that -o*l**2 + 0 + 3/5*l**3 + 6/5*l = 0.
0, 1, 2
Let b(f) be the second derivative of -1/9*f**4 - 2 - 1/15*f**5 + 30*f**2 + 14/3*f**3 + 44*f. Factor b(m).
-4*(m - 5)*(m + 3)**2/3
Let x be 2/2 + -2 + 4. Suppose 0 = x*b - 5*m - 34, -5*b + 10*b - 50 = 5*m. Suppose b*d + 3*d**4 - 3*d**3 - 3*d - 3*d**2 - 2*d = 0. Calculate d.
-1, 0, 1
Let t = -108301 + 108313. Let -20*v**3 + 0 - 4/3*v + t*v**4 + 28/3*v**2 = 0. Calculate v.
0, 1/3, 1
Let n(b) = b**3 - 21*b**2 + 45*b - 23. Let d(v) = -4*v**3 + 63*v**2 - 135*v + 69. Let q(k) = -2*d(k) - 7*n(k). Suppose q(s) = 0. What is s?
-23, 1
What is w in -153/2*w**2 + 0 - 3/8*w**4 + 0*w - 87/8*w**3 = 0?
-17, -12, 0
Let v(n) be the first derivative of 0*n + 3/2*n**4 - 45 - 1/3*n**6 - 6/5*n**5 + 14/3*n**3 - 6*n**2. Solve v(g) = 0.
-3, -2, 0, 1
Let z = 1583 + -1083. Factor -955*c**3 - z*c - 95*c**4 - 350*c**3 - 1400*c**2 - 292*c**4 - 18*c**4.
-5*c*(c + 1)*(9*c + 10)**2
Let t(r) be the second derivative of -21*r**5/40 + 25*r**4/2 + 187*r**3/4 + 60*r**2 - 32*r - 20. Suppose t(k) = 0. Calculate k.
-1, -5/7, 16
Let b = -88 + 92. Suppose 2*o - 71*o**4 - 3*o**2 - 2*o + 39*o**4 + 35*o**b = 0. What is o?
-1, 0, 1
Let d(y) be the second derivative of 2*y**6/45 + 9*y**5/10 - 5*y**4/2 + y**3/9 + 5*y**2 - 238*y. Suppose d(o) = 0. Calculate o.
-15, -1/2, 1
Let v be 8/(4 - 