v**5 + 48*v**4 + 6 + f*v**2 - 34*v = 0. Calculate v.
3/4, 1
Let f(y) = y**2 - 2*y + 5. Let i(r) = -1. Let b be (-2 + 816/(-18))/((-2)/(-3)). Let p = b + 70. Let g(t) = p*f(t) - 4*i(t). Factor g(n).
-(n - 1)**2
Let f be 40/(-15)*(23 - (-570)/(-24)). Determine d, given that 4 + 3*d + 1/2*d**f = 0.
-4, -2
Factor -1/6*x**4 + 242/3*x - 11/2*x**2 + 0 - 3*x**3.
-x*(x - 4)*(x + 11)**2/6
Factor -22*q**2 + 63*q + 2*q**4 + 0*q**4 + 53*q - 4*q**3 - 92*q + 72.
2*(q - 3)**2*(q + 2)**2
Let a(i) be the second derivative of 1/70*i**6 - 3/28*i**5 - 12 - 1/2*i**3 - i + 3/7*i**2 + 9/28*i**4. Solve a(o) = 0 for o.
1, 2
Let q(d) = d - d**3 + 4*d + 1151 - 1152 + 3*d**2. Let v be q(4). Factor -2/5 + 3/5*k + 0*k**2 - 1/5*k**v.
-(k - 1)**2*(k + 2)/5
Suppose -4*j = d - 2, 0*d = -2*j - 3*d - 4. Let v = 1224/61 - 2387/122. Suppose -z**4 + v*z**3 + 2*z**2 - 1/4*z - j - 1/4*z**5 = 0. What is z?
-4, -1, 1
Let s(t) be the third derivative of -10/3*t**3 + 0 + 0*t + 35/24*t**4 - 1/24*t**6 - 1/6*t**5 + 36*t**2. Solve s(q) = 0.
-4, 1
Factor -4/5*q**3 + 0 - 4/5*q**2 + 8/5*q.
-4*q*(q - 1)*(q + 2)/5
Let w(m) be the third derivative of 23435281*m**5/15 - 9682*m**4/3 + 8*m**3/3 + 6*m**2 - 119*m - 2. Let w(s) = 0. Calculate s.
2/4841
Let t(a) = 2*a**2 - 13*a + 18. Let q be t(3). Let b be -2*(-2 - q - (-32)/(-28)). Factor 0 + b*f**4 + 4/7*f + 10/7*f**2 + 8/7*f**3.
2*f*(f + 1)**2*(f + 2)/7
Let p(q) be the first derivative of -22*q - 152 - 26/3*q**3 + 23*q**2 + 1/2*q**4. Solve p(t) = 0 for t.
1, 11
Let t be (-5)/(-90) + 3879/162. Let u = 112 - 52. Factor 0 + t - u*y + 54*y**2 + 640*y**3 - 661*y**3 + 3*y**4.
3*(y - 2)**3*(y - 1)
Solve 1241*i**4 + 59166*i + 146324*i**3 + 37108 + 1703 + 6*i**5 + 19671 - 291724*i**2 + 25704*i**3 + 801*i**4 = 0 for i.
-171, -1/3, 1
Let d(k) = k**2 - k. Let f = 70 - 76. Let j(g) = 2 + 3*g**2 + 2*g**2 - 3*g - 2*g. Let r(v) = f*d(v) + j(v). Factor r(a).
-(a - 2)*(a + 1)
Factor 44995*l + 5256144 + 2*l**3 + 468*l**2 + 69269*l + 106*l**2 + 254*l**2.
2*(l + 138)**3
Suppose 158*l + 13*l + 8*l = 0. Factor 0 + 0*t**2 + 30/13*t**4 - 4/13*t**3 + l*t.
2*t**3*(15*t - 2)/13
Suppose -v + 334 = -151. Let l(g) = 2*g - 3. Let i be l(7). Factor 3 - 191*o - 17 - 80*o**4 + i*o - v*o**2 - 6 - 360*o**3.
-5*(o + 2)**2*(4*o + 1)**2
Let f(v) be the second derivative of v**4/120 - 3*v**3/20 - v**2/2 + 325*v - 1. Solve f(i) = 0.
-1, 10
Let d be 2/6 - (14 - (-296)/(-12) - -9). Let 3*o**d + 3/2*o**3 + 15 - 39/2*o = 0. Calculate o.
-5, 1, 2
Let y(q) be the first derivative of 0*q + 2*q**3 + 19/2*q**2 + 1/30*q**5 - 50 + 7/12*q**4. Let t(d) be the second derivative of y(d). Factor t(i).
2*(i + 1)*(i + 6)
Suppose 0 = -2*c + 16 + 28. Let h = 24 - c. Factor -28*m**2 + m**4 - h*m + 12*m**2 + 13*m**2.
m*(m - 2)*(m + 1)**2
Let i(z) = -2*z - 24. Let s be i(-21). Suppose -2*a = -24 + s. Factor 20*r**2 + 0*r + r**3 + 12 + 30*r + 3*r**a - 2*r.
4*(r + 1)**2*(r + 3)
Let x = 118 - 112. Let c be -3 - (-2 + 0/3 + -6). Let -36*i**c - 3*i - x*i + 35*i**5 - 4*i**4 + 12*i**2 + 2*i**3 = 0. What is i?
-3, 0, 1
Let o = 1095717/152185 - -3/30437. Solve 78/5*v - 58/5*v**2 + 18/5*v**3 - o - 2/5*v**4 = 0 for v.
1, 2, 3
Let j(s) be the third derivative of -s**7/90 + 17*s**6/270 - 13*s**5/90 + s**4/6 + 49*s**3/3 - 136*s**2. Let o(x) be the first derivative of j(x). Factor o(p).
-4*(p - 1)**2*(7*p - 3)/3
Let g(c) be the third derivative of c**6/420 - c**5/105 - 35*c**4/4 - 2400*c**3/7 + 1288*c**2. Factor g(w).
2*(w - 32)*(w + 15)**2/7
Let t be 48/26 - ((-4)/26)/1. Solve f**3 - 6*f - 2*f**3 + 163*f**2 - 156*f**t = 0.
0, 1, 6
Let b(n) be the third derivative of 0*n**4 - 1/30*n**6 + 0*n**3 + 0*n - 48*n**2 + 0 + 1/5*n**5. Factor b(a).
-4*a**2*(a - 3)
Let f(x) be the third derivative of -x**5/60 + 89*x**4/8 + 542*x**3/3 - 10417*x**2. Suppose f(t) = 0. What is t?
-4, 271
Let o = 230/43 - -15235/86. Let s = -182 + o. Determine m, given that 1/6*m**2 + s - 2/3*m = 0.
1, 3
Let s(q) = 4 - 1 - 23*q**2 - 10*q - 5*q**3 - 13*q. Let m = 792 + -797. Let f(t) = 10*t**3 + 45*t**2 + 45*t - 5. Let w(i) = m*s(i) - 3*f(i). Factor w(k).
-5*k*(k + 2)**2
Let o(j) be the second derivative of j**7/1260 - j**6/54 - 23*j**3/2 - 62*j. Let k(i) be the second derivative of o(i). Factor k(a).
2*a**2*(a - 10)/3
Let q(l) be the first derivative of -3*l**5/5 + 39*l**4 + 107*l**3 + 81*l**2 - 6315. Find b, given that q(b) = 0.
-1, 0, 54
Let t(n) be the second derivative of -1 - 2/225*n**6 - 4/45*n**4 - 1/15*n**3 - 7/150*n**5 + 0*n**2 - 3*n. Factor t(o).
-2*o*(o + 1)**2*(2*o + 3)/15
Suppose 0 = -112*h + 56*h + 15*h. Factor 0 - 11/4*q**3 + h*q - 1/4*q**4 - 5/2*q**2.
-q**2*(q + 1)*(q + 10)/4
Let g = 880 - 548. Determine s so that 9*s - 10*s + 56*s + 15*s**3 + g*s**2 - 207*s**2 - 5*s**4 + 50*s = 0.
-3, -1, 0, 7
Let d = 178744 - 178741. Factor 1/6*r + 0 - 1/6*r**2 - 1/6*r**d + 1/6*r**4.
r*(r - 1)**2*(r + 1)/6
Let x(a) = a**2. Let p(j) = -5*j**2 - 23*j - 40. Let i(s) = -p(s) - 2*x(s). Factor i(t).
(t + 5)*(3*t + 8)
Suppose 45096*x - 45129*x = -12 - 54. Solve -4*v - 2*v**x + 2/3*v**3 + 16/3 = 0 for v.
-2, 1, 4
Let s be -3 + (-60)/(-21) - 725/(-175). Factor 39*v - 99*v + 30*v**2 + 35*v**2 + 20 - 30*v**3 + 5*v**s.
5*(v - 2)**2*(v - 1)**2
Let l(m) = -m**2 - m + 6. Let z = 504 - 502. Let f(s) = -4*s**2 - 3*s + 21. Let p(v) = z*f(v) - 7*l(v). Factor p(q).
-q*(q - 1)
Suppose -2339 = -b + 5*x, 1225 = 4*b - 7*x - 8144. Let j = b + -2342. Factor -1/5*w**2 - 9/5 - j*w.
-(w + 1)*(w + 9)/5
Let i be ((-254)/(-3)*184/1472 - 11)/(30/(-16)). Factor 0 + 20/9*x**2 - 2/9*x**3 - 16/9*x - i*x**4.
-2*x*(x - 2)*(x - 1)*(x + 4)/9
Let m be (28956/722 - 40)*(0 - -14). Let -2/19*n**2 - 98/19 + m*n = 0. What is n?
7
Let n(f) be the third derivative of f**5/360 - 49*f**4/48 + 12*f**3 + 1572*f**2 - 1. Let n(b) = 0. Calculate b.
3, 144
Let j(w) be the third derivative of 2*w**7/315 - 277*w**6/90 - 78*w**2 - 10*w. Find z such that j(z) = 0.
0, 277
Let t(w) be the first derivative of -24 + 0*w**3 - 1/28*w**4 + 3*w + 3/14*w**2. Let k(o) be the first derivative of t(o). Suppose k(r) = 0. Calculate r.
-1, 1
Let h be -216 + 443961/2052 - (1/(-3))/(4/(-3)). Solve 16/19*u + 4/19*u**2 + 0 - h*u**3 = 0.
-2, 0, 4
Let i be 48/9*(-30)/(-8). Factor -112*l + 2*l**2 + 103 + i*l + 850 + 105.
2*(l - 23)**2
Suppose 0 = -10*w + 13*w + 117. Let s = w + 51. Factor -s*y**4 + 125*y**2 - 108*y + 7*y**4 - 17*y**2 - 36*y**3 + 9*y**4.
4*y*(y - 3)**3
Suppose 3*x = -63*u + 68*u - 119, -2*u + 6 = 4*x. Let n(s) be the first derivative of -5/8*s**4 - 51/4*s**2 - 7*s**3 - 7*s + u. Factor n(m).
-(m + 1)*(m + 7)*(5*m + 2)/2
Suppose 2*u - 4 = -4*d + 2, -d - u = 0. Determine z so that z**3 - 51*z**4 + 0*z**3 - 3*z**d + 4*z**2 + 49*z**4 = 0.
-2, 0, 1
Let m(p) = p**3 - 3*p**2 + 4*p - 9. Let j be m(5). Factor -1296 - 169*c - j*c + 545*c - 171*c - 4*c**2.
-4*(c - 18)**2
Let i(o) be the first derivative of -2/9*o**3 - 22/3*o - 45 - 4*o**2. Factor i(t).
-2*(t + 1)*(t + 11)/3
Let k(l) be the first derivative of l**4/5 + 44*l**3/15 + 12*l**2 - 2286. What is c in k(c) = 0?
-6, -5, 0
Let m be (0 - 1)*2 - -131. Find q such that -342*q + m*q - 112*q**2 + 133*q + 4*q**4 - 28*q**3 = 0.
-2, -1, 0, 10
Let w = 1620992/7 - 231570. Determine h, given that 34/7 + w*h**2 + 36/7*h = 0.
-17, -1
Let p(f) be the third derivative of -f**5/140 - 5*f**4/8 - 62*f**3/7 + 6*f**2 + 211. Solve p(i) = 0.
-31, -4
Let x(s) be the third derivative of 98/3*s**3 + 1/60*s**5 + 7/6*s**4 + 6*s**2 + 0*s + 0. Factor x(g).
(g + 14)**2
Solve 60/7*m + 2/7*m**2 - 1118/7 = 0.
-43, 13
Factor 46/9*b + 24 - 2/9*b**2.
-2*(b - 27)*(b + 4)/9
Suppose 2*c - 9*c = -56. Suppose -c*y - 36 = -11*y. Solve 0*x**3 - 4*x**3 - 2*x**5 + 3*x**5 - 15*x**4 + y*x**4 = 0 for x.
-1, 0, 4
Let n = -745222/37365 + 3221/159. Let b = -16/141 + n. Factor 0 + 0*c + b*c**2.
c**2/5
Let n(l) be the third derivative of -141*l**5/20 - 53*l**4/3 - l**3/6 - 349*l**2. Factor n(c).
-(c + 1)*(423*c + 1)
Let n(t) be the first derivative of -3*t**4/4 - 22*t**3/3 - 37*t**2/2 - 10*t + 863. Factor n(s).
-(s + 2)*(s + 5)*(3*s + 1)
Let 0*d - 200/3 + 2/3*d**2 = 0. Calculate d.
-10, 10
Let x(t) be the third derivative of t**5/210 + 19*t**4/42 + 64*t**3/7 - t**2 + 12. Factor x(m).
2*(m + 6)*(m + 32)/7
Let b be (-312)/(-130) - (-4)/(-10). Let -134*w**5 + 6*w**b + 89*w**5 - 6*w**4 - 21*w**3 + 66*w**5 = 0. Calculate w.
-1, 0, 2/7