+ 16 = 2*x - 0*x, 2*x - 5*w = 20. Let v be ((-52)/(-5) + -10)/(-4*(-3)/20). Factor -4/9*f**3 - v*f + 14/9*f**2 + x.
-2*f*(f - 3)*(2*f - 1)/9
Suppose 448 = -x + 29*x. Suppose -6*o**3 - x*o**2 + 10*o - 10*o + 10*o**4 + 18*o**3 - 12*o**4 = 0. Calculate o.
0, 2, 4
Suppose -10/9*q**3 - 7952*q - 4704 - 562/3*q**2 = 0. Calculate q.
-84, -3/5
Let n(f) be the first derivative of -f**6/5 + 68*f**5/25 - 69*f**4/10 - 196*f**3/15 + 72*f**2/5 + 128*f/5 + 9463. Determine t, given that n(t) = 0.
-1, -2/3, 1, 4, 8
Suppose 14*k + 7*k - 315 = 0. Factor k + 186*w - 104*w - 94*w - 3*w**2.
-3*(w - 1)*(w + 5)
Let z(b) = 3*b - 115. Suppose -106 = -4*x + 50. Let m be z(x). Solve 2/3*q**3 - 2/3*q**m - 2/3*q + 2/3 = 0 for q.
-1, 1
Let v(w) be the third derivative of 0 - 10/3*w**3 + 0*w + 30*w**2 - 365/6*w**4 - 5329/12*w**5. Factor v(l).
-5*(73*l + 2)**2
Let r(f) be the third derivative of f**7/350 + 611*f**6/100 + 372097*f**5/100 - 93483*f**4/5 + 187272*f**3/5 - 753*f**2. Factor r(p).
3*(p - 1)**2*(p + 612)**2/5
Let l(p) be the second derivative of 0*p**4 + 0*p**2 + 1/21*p**7 - 1/2*p**5 + p + 34 + 4/3*p**3 + 0*p**6. Let l(r) = 0. What is r?
-2, -1, 0, 1, 2
Let u(i) be the second derivative of -125/7*i**2 + 5/21*i**4 - 25/3*i**3 - 142*i + 23/35*i**5 - 13/105*i**6 + 0 + 1/147*i**7. Suppose u(l) = 0. What is l?
-1, 5
Solve -13727 + 51815 + 80821*c**3 - 80820*c**3 + 18492*c - 274*c**2 = 0 for c.
-2, 138
Let v be (1*-5)/(1 - 2). Factor -29*x**3 - 24*x**2 + x**3 - 1198*x + 1198*x + 4*x**v.
4*x**2*(x - 3)*(x + 1)*(x + 2)
Factor -69 + s**2 + 4*s**2 + 35 + 119 - 140*s + 175.
5*(s - 26)*(s - 2)
Let l be -10*(-3)/(-3) + 10. Let z(w) be the third derivative of 13*w**2 + 0*w + 0*w**7 + 0*w**3 - 2/75*w**5 + 1/420*w**8 - 1/50*w**6 + 0 + l*w**4. Factor z(i).
4*i**2*(i - 2)*(i + 1)**2/5
Let w be (-1820)/945 - 2/27. Let s be (-2)/6 - (-4)/(-24)*w. Factor -1/3*v**4 + 2/3*v**2 - 1/3*v**3 + 0 + s*v.
-v**2*(v - 1)*(v + 2)/3
Let o(m) be the first derivative of -4*m**3/3 - 296*m**2 + 4340*m - 5187. Factor o(w).
-4*(w - 7)*(w + 155)
Let q(v) be the second derivative of -v**4/90 - 1252*v**3/45 - 391876*v**2/15 + 1178*v. Determine u so that q(u) = 0.
-626
Let -2/13*v**2 - 64/13*v + 456/13 = 0. What is v?
-38, 6
Let d(p) be the second derivative of -4*p**6/135 + 542*p**5/45 - 73981*p**4/54 + 2710*p**3 - 2025*p**2 - 1497*p - 3. Factor d(u).
-2*(u - 135)**2*(2*u - 1)**2/9
Let r = -172/45 - 2693/45. Let h = r + 193/3. Find n, given that -h*n + 0 + 1/6*n**3 + 0*n**2 = 0.
-2, 0, 2
Suppose -c - 132*p + 138*p = 52, 5*c + 5*p - 55 = 0. Determine g, given that -1/3*g**c + 2/3*g + 1 = 0.
-1, 3
Let s(b) be the first derivative of -487/18*b**4 + 200/9*b + 3218/27*b**3 + 211 - 826/45*b**5 - 760/9*b**2 - 49/27*b**6. Let s(v) = 0. What is v?
-5, 2/7, 1
Let p = -295836524/655 - -451659. Let l = p - -2/131. Suppose 4/5 + l*i**2 + 4/5*i = 0. What is i?
-2
Let m(c) be the second derivative of c**7/84 + 7*c**6/45 - c**5/5 - c**3/3 + c**2/2 + 4*c - 2. Let p(v) be the second derivative of m(v). Factor p(a).
2*a*(a + 6)*(5*a - 2)
Let p be 628/(-6)*870/(-60). Let m = -1517 + p. Find y, given that -m*y**4 - 37/3*y**3 + 27 - 21*y - 179/3*y**2 = 0.
-9, -1, 1/2
Suppose -9*y**4 + 386*y**2 - 2*y**5 - 218*y - 22*y**4 + 87*y**4 + 50*y - 270*y**3 - 2*y**4 = 0. Calculate y.
0, 1, 4, 21
Suppose 11*t = -23*t - 5 + 5. Solve -12/5*n + 2/15*n**2 + t = 0 for n.
0, 18
Suppose -k = 5*q + 8, -3*k + 1050*q = 1053*q. Let i(z) be the first derivative of 2/11*z**k - 1 + 2/33*z**3 - 6/11*z. Factor i(x).
2*(x - 1)*(x + 3)/11
Suppose -k = -w + 2, 2*w + 3*k = -57 + 76. Let d(x) be the second derivative of 0 + 1/3*x**3 + 1/90*x**w + 1/9*x**4 + 9*x + 4/9*x**2. Factor d(y).
2*(y + 1)**2*(y + 4)/9
Let c = -153 + 153. Suppose c*v = -3*v + v. What is s in v + 4/11*s**3 + 2/11*s**4 + 2/11*s**2 + 0*s = 0?
-1, 0
Let 102/7*c**2 - 2*c**3 + 236*c - 480/7 = 0. Calculate c.
-8, 2/7, 15
Let a(o) be the third derivative of -o**9/12096 + o**8/2016 - o**7/1008 - o**5/2 + o**4/8 - 297*o**2. Let s(i) be the third derivative of a(i). Factor s(v).
-5*v*(v - 1)**2
Let p(u) be the second derivative of -u**7/3360 + u**6/288 - u**5/120 + u**3/6 + 71*u**2/2 - 9*u. Let j(c) be the second derivative of p(c). Factor j(m).
-m*(m - 4)*(m - 1)/4
Let c = 207 - 203. Factor -15*r + 3*r**3 + 1176*r**2 - 5 - c - 1179*r**2.
3*(r - 3)*(r + 1)**2
Factor -16/15*m**2 - 4/5*m**4 + 0*m + 8/5*m**3 + 2/15*m**5 + 0.
2*m**2*(m - 2)**3/15
Let z(a) be the second derivative of -2/15*a**6 + 0 + 0*a**2 - 6/5*a**5 + 0*a**3 + 0*a**4 + 62*a. Factor z(v).
-4*v**3*(v + 6)
Let v(z) be the third derivative of -z**7/1470 - 19*z**6/840 - 5*z**5/42 - 4*z**4/21 - 3053*z**2. Suppose v(d) = 0. What is d?
-16, -2, -1, 0
Solve 18/5*g + 1/5*g**3 + 11/5*g**2 + 0 = 0.
-9, -2, 0
Let a(m) = 266 + 234*m - 50 + 309*m**2 - 273*m**2 + 184. Let u(j) = 72*j**2 + 467*j + 800. Let p(z) = 13*a(z) - 6*u(z). Factor p(b).
4*(3*b + 10)**2
Suppose -d + 79 = -4*s, 0*d = s - 4*d + 16. Let x be (-32)/(-10) + 3 + 64/s. Find z such that -1 + 0*z + 7*z + 4*z**2 - 4*z - 7*z**2 + z**x = 0.
1
Suppose -638*w + 124 - 376 = -127 - 125. Find s, given that -32/7 + w*s + 2/7*s**2 = 0.
-4, 4
Let q(j) = -j**2 - 2*j + 18. Let h(u) = u**2 - 35*u - 71. Let k be h(-2). Let x be q(k). Solve x + 1/2*n**2 - 5/2*n = 0.
2, 3
Let g be (3/14)/(16227/16828). Factor g*p**2 + 2/9*p**3 + 2/3 - 10/9*p.
2*(p - 1)**2*(p + 3)/9
Let h be (-94 + 1)*(15/(-126))/(630/441). Factor -h*g + 1/4*g**3 + 9 - 3/2*g**2.
(g - 9)*(g - 1)*(g + 4)/4
Let b(v) be the first derivative of -3/35*v**5 + 174 + 0*v**2 + 1/14*v**6 + 0*v - 9/14*v**4 + 0*v**3. Find w, given that b(w) = 0.
-2, 0, 3
Suppose 30*v = 4*v + 15*v. Suppose v = 42*h + 43 - 127. Factor -7/5*d**3 - d**h + 0 + 2/5*d.
-d*(d + 1)*(7*d - 2)/5
Let c = -4372069/7 + 624583. Factor -c*g**3 + 4/7*g**2 - 4/7*g**5 + 0 + 12/7*g**4 + 0*g.
-4*g**2*(g - 1)**3/7
Let d(c) be the third derivative of c**7/420 - c**6/36 - 7*c**5/30 + 83*c**3/3 - 139*c**2. Let r(f) be the first derivative of d(f). Factor r(m).
2*m*(m - 7)*(m + 2)
Solve -135*q - 88*q + 31*q + 4*q**5 - 27*q**3 + 15*q**3 - 24*q**4 + 224*q**2 = 0.
-3, 0, 1, 4
Let n be (-1*(-1)/(-5))/((-444)/888). Factor -n*y**4 + 4/5*y + 2*y**2 - 2/5*y**5 + 0 + 6/5*y**3.
-2*y*(y - 2)*(y + 1)**3/5
Let q(i) = 20*i**4 - 100*i**3 + 485*i**2 + 1435*i + 5. Let s(r) = -17*r**4 + 102*r**3 - 484*r**2 - 1436*r - 4. Let d(m) = 4*q(m) + 5*s(m). Factor d(g).
-5*g*(g - 12)**2*(g + 2)
Let r be (12/50)/(-3)*(-550)/110. Factor r*d**4 + 4/5 - 2/5*d**3 - 6/5*d**2 + 2/5*d.
2*(d - 2)*(d - 1)*(d + 1)**2/5
Let u(l) be the first derivative of 0*l + 23/20*l**5 - 3/4*l**2 - 155 - 13/4*l**4 + 35/12*l**3. Factor u(b).
b*(b - 1)**2*(23*b - 6)/4
Let d(k) be the third derivative of -k**7/42 + 21*k**6/8 + 43*k**5/4 + 325*k**4/24 + 1388*k**2. Suppose d(t) = 0. What is t?
-1, 0, 65
Let i(o) be the third derivative of -3*o**3 + 0*o - 2/15*o**5 + 0 - 225*o**2 + 37/12*o**4. Determine l so that i(l) = 0.
1/4, 9
Let s(y) be the second derivative of 3 - 169/15*y**4 + 1/105*y**7 + 117/50*y**5 + 0*y**3 + 0*y**2 + 34*y + 8/25*y**6. What is v in s(v) = 0?
-13, 0, 2
Find q, given that -18*q**2 + q**3 + 218*q - 2*q**3 - 503*q - 2*q**3 + 90*q**2 = 0.
0, 5, 19
Determine p so that -5/2*p**2 - 27/4*p - 1/4*p**3 - 9/2 = 0.
-6, -3, -1
Find g, given that 6*g**3 - 68*g**3 - 35*g**4 + 42*g - 140*g**2 + 38*g + 31*g**4 - 18*g**3 + 144 = 0.
-18, -2, -1, 1
Let m = 106259 + 67001. Suppose 9*b**3 - 3*b**5 - m*b**2 + 173260*b**2 - 4*b + 2*b**4 = 0. Calculate b.
-1, 0, 2/3, 2
Factor -3*d**4 - 66*d + 2200*d**2 + 18*d - 1080*d**2 - 1084*d**2.
-3*d*(d - 2)**2*(d + 4)
Find i, given that -224/3*i - 2/3*i**2 + 726 = 0.
-121, 9
Factor 0 - 4/5*t**2 - 512/5*t.
-4*t*(t + 128)/5
Let g be -80*(-1)/24*(-12)/(-10). Let f(w) be the second derivative of 0 + 0*w**2 + 1/6*w**g + 32*w + w**3. Suppose f(y) = 0. What is y?
-3, 0
Let w = -68 + 80. Suppose -w = -x - 9. Factor 12*v - 7*v**x + 8*v**3 - 23*v**2 + 14*v**3 - 4*v**2.
3*v*(v - 1)*(5*v - 4)
Let t(z) = 370*z**3 + 305*z**2 - 733*z - 30. Let i(p) = -740*p**3 - 620*p**2 + 1465*p + 60. Let j(h) = 8*i(h) + 15*t(h). Factor j(b).
-5*(b - 1)*(b + 2)*(74*b + 3)
Let m(n) = n**2 + 114*n + 196. Let j(v) = 6*v**2 + 798*v + 1383. Let i(s) = -4*j(s) + 27*m(s). Factor i(x).
3*(x - 40)*(x + 2)
Let j(m) = -m**3 + 29*m**2 + 18*m - 30. Let