
Solve 0*o**3 - 58526*o**5 - o**2 - o**3 - 3*o**4 + 58527*o**5 + 4*o**2 = 0 for o.
-1, 0, 1, 3
Let v(k) be the third derivative of k**5/270 + 71*k**4/108 - 146*k**3/27 - 27*k**2 + 17. Factor v(x).
2*(x - 2)*(x + 73)/9
Factor 2028852*r + 2025366 + 3/2*r**3 + 6975/2*r**2.
3*(r + 1)*(r + 1162)**2/2
Let a(q) = 296436*q**3 - 3066*q**2 + q - 21. Let i(p) = 148219*p**3 - 1534*p**2 + p - 9. Let w(f) = 3*a(f) - 7*i(f). Find u, given that w(u) = 0.
0, 2/385
Solve -144/7 - 264/7*y - 2/7*y**4 - 148/7*y**2 - 30/7*y**3 = 0.
-6, -2, -1
Let t(l) be the first derivative of 34*l**2 - 123 - 1156*l - 1/3*l**3. Determine x so that t(x) = 0.
34
Let r(i) be the first derivative of 19*i + 1/4*i**3 + 3/16*i**5 + 22 + 0*i**2 + 7/16*i**4. Let b(s) be the first derivative of r(s). Solve b(f) = 0.
-1, -2/5, 0
Let t(z) be the second derivative of 21/2*z**2 - 3/20*z**5 + 9/4*z**4 - 22*z + 0 - 15/2*z**3. Factor t(p).
-3*(p - 7)*(p - 1)**2
Let h = 467594 - 467576. Factor 6*c**2 - 18*c + h - 2/3*c**3.
-2*(c - 3)**3/3
Solve -735/2 - 5/2*f**2 - 130*f = 0 for f.
-49, -3
Find p, given that -3090098/5 + 4972/5*p - 2/5*p**2 = 0.
1243
Let p(r) be the third derivative of -1/54*r**4 - 39*r**2 - 1/270*r**5 + 0 - 1/27*r**3 + 0*r. Factor p(d).
-2*(d + 1)**2/9
Let r(g) be the first derivative of 6*g**5/5 + g**4 - 50*g**3/3 - 28*g**2 + 24*g - 554. Factor r(u).
2*(u - 3)*(u + 2)**2*(3*u - 1)
Let c(y) be the third derivative of -1/160*y**6 - 1/96*y**4 + 1/80*y**5 + 0 + 111*y**2 + 1/840*y**7 + 0*y + 0*y**3. Determine w, given that c(w) = 0.
0, 1
Let b(o) be the second derivative of o**6/50 + 6*o**5/25 + 13*o**4/20 + 3*o**3/5 + 134*o. Factor b(y).
3*y*(y + 1)**2*(y + 6)/5
Let x = 808049 - 808047. Factor -198/5*d + 42/5*d**x - 2/5*d**3 - 242/5.
-2*(d - 11)**2*(d + 1)/5
Let o be -1 - (11/(-3) + 2). Let c = 166048 - 498136/3. Let -c - 10/3*t**2 - 16/3*t - o*t**3 = 0. What is t?
-2, -1
Let -4000 - 41*k - 72*k**2 + 122*k**2 + 6*k - 45*k**2 = 0. Calculate k.
-25, 32
Let r(o) be the first derivative of 2*o**3/21 - 191*o**2/7 + 1153. Factor r(l).
2*l*(l - 191)/7
Let d = 36763/6 - 183803/30. Factor -d*a**2 - 24*a + 0.
-2*a*(a + 60)/5
Let g(k) = k**3 - 130*k**2 - 262*k + 6. Let t be g(-2). Factor 2/15 + 16/15*r - 6/5*r**t.
-2*(r - 1)*(9*r + 1)/15
Let l(k) = -k**2 + k**3 - 3*k**2 - 4*k**2 + k**2 + 14 - 9*k. Let j be l(8). Factor 4*a**3 + 4*a**4 + 14*a + 20*a**2 - j*a + 12*a**3.
4*a*(a + 1)**2*(a + 2)
Suppose 2*p + 14*l = 15*l + 6, -3*l - 10 = -4*p. Factor 17*v**2 - p*v**3 - 12*v**2 - 6*v + 5*v**3.
v*(v - 1)*(v + 6)
Let n(x) be the first derivative of -x**4/28 + 2*x**3/7 - 5*x**2/14 - 12*x/7 - 801. Factor n(i).
-(i - 4)*(i - 3)*(i + 1)/7
Suppose 8 = z + 9. Let l(y) = 2*y**5 - 4*y**4 - 2*y**3 + 8*y**2 - 2*y - 2. Let t(v) = -v**4 + v**3 + v + 1. Let i(g) = z*l(g) - 2*t(g). Factor i(x).
-2*x**2*(x - 2)**2*(x + 1)
Let a = -35 - -28. Let y = 9 + a. What is t in -2*t + 4*t - 2 + 2*t**y + t**3 - 3*t = 0?
-2, -1, 1
Let f(i) be the first derivative of -1/40*i**4 - 2/15*i**3 - 38 + 0*i - 3/20*i**2. Factor f(u).
-u*(u + 1)*(u + 3)/10
Let r(j) be the first derivative of 2*j**3/21 + 13*j**2/7 - 60*j/7 - 6033. Factor r(u).
2*(u - 2)*(u + 15)/7
Let i be (-156)/(-10)*1/3. Suppose u - 8019 + 8017 = -5*v, 30 = -5*v - 5*u. Solve -2/5*c**v + i*c - 24/5 = 0 for c.
1, 12
Let c(o) be the third derivative of o**9/4320 - 19*o**8/10080 - o**7/420 + 47*o**5/60 + 9*o**2 - 3*o. Let t(z) be the third derivative of c(z). Factor t(f).
2*f*(f - 3)*(7*f + 2)
Find o, given that 7381/10*o**3 + 13351/10*o + 3003/2*o**2 + 1331/10*o**4 + 2197/5 = 0.
-2, -13/11
Let a be 2 + 11 - (-11)/((-88)/(-16)). Suppose -5*g + a = -j, 3*g - 18 = 2*j - 9. Factor 2/9*n**2 - 8/9 + j*n.
2*(n - 2)*(n + 2)/9
Let m be (4 - 3196/(-8))/(39/(-52)). Let d = -1610/3 - m. Factor 2/3 + 2/3*z**2 + d*z.
2*(z + 1)**2/3
Let f(q) = -q**3 - 17*q**2 + 19*q + 15. Let z be f(-18). Let x be 2/(-4) + 44/8 + z. Solve 8 - 10*c**2 - 12*c - 8 - x = 0 for c.
-1, -1/5
Suppose 1/5*u**5 - 30*u**2 + 151/5*u - 152/5*u**3 + 0 + 30*u**4 = 0. What is u?
-151, -1, 0, 1
Let z(a) be the second derivative of -a**7/336 + 2*a**6/15 - 217*a**5/160 - 353*a**4/48 + 221*a**3/12 + 289*a**2/2 + 161*a + 5. Let z(v) = 0. Calculate v.
-2, 2, 17
Let 1118*c**5 - 1109*c**5 - 90*c**2 + 21*c**4 + 219*c**3 + 129*c**4 = 0. Calculate c.
-15, -2, 0, 1/3
Suppose 1/9*r**4 + 8/3*r**2 + 32/9*r - 10/9*r**3 - 128/9 = 0. What is r?
-2, 4
Factor 2350 - 445*n + 68*n**2 - 68*n**2 - 5*n**2.
-5*(n - 5)*(n + 94)
Factor -249*y**3 + 193*y**2 - 90 + 40*y**3 - 26*y**3 + 343*y + 45*y**4 - 8*y**2 + 32*y.
5*(y - 3)**2*(y + 1)*(9*y - 2)
Suppose -3*x + 4*w + 24 = 0, 9*x - 4*w = 7*x + 20. Determine s, given that 92*s - x*s**2 - 539*s + 279*s = 0.
-42, 0
What is q in 47/7*q**3 + 0 + 1/7*q**4 - 1/7*q**2 - 6*q - 5/7*q**5 = 0?
-14/5, -1, 0, 1, 3
Let f be 21/(-7) + ((-11)/(55/(-20)) - -2). Suppose 3/5*p**f + 192/5 + 144/5*p - 9*p**2 = 0. Calculate p.
-1, 8
Suppose -76*g + 68*g + 24 = 0. Let o = 37761/4 - 9440. Factor 2*p + 0 - o*p**g + 1/2*p**2.
-p*(p - 4)*(p + 2)/4
Let g(q) be the third derivative of 139*q**5/480 + q**4/64 + 5587*q**2. Let g(n) = 0. Calculate n.
-3/139, 0
Suppose 262*y = 241*y. Let a(o) be the third derivative of -1/2*o**4 - 1/30*o**6 - 1/5*o**5 + y*o - 13*o**2 - 2/3*o**3 + 0. What is m in a(m) = 0?
-1
Let k(a) = 3*a**4 - 10*a**3 + 18*a**2 - 14*a + 3. Let u = -51 - -45. Let l be 2/u + (-18)/27. Let h(f) = -f**4 + 1. Let i(g) = l*k(g) - h(g). Factor i(y).
-2*(y - 2)*(y - 1)**3
Let b(k) = -7*k**2 + 1583*k - 315258. Let x(f) = -36*f**2 + 7914*f - 1576298. Let v(y) = -52*b(y) + 10*x(y). Find s such that v(s) = 0.
397
Let f(i) be the first derivative of -15*i**5 + 135*i**4 - 324*i**3 + 1052. Factor f(q).
-3*q**2*(5*q - 18)**2
Let w(p) = -p**2 - 33*p - 60. Let s be (-2)/(-18) + 1400/(-45). Let b be w(s). Factor b*o**4 - 12*o + 4*o**4 - 8*o**4 + 14*o**2.
-2*o*(o - 2)*(o - 1)*(o + 3)
Let o = 687 + -689. Let l(m) = 22*m + 22. Let k(d) = -2*d**2 - 45*d - 43. Let y(f) = o*k(f) - 5*l(f). Factor y(a).
4*(a - 6)*(a + 1)
Factor 342 + 6*u**4 + 102*u**2 - 186*u**3 + 176*u + 66*u**3 - 3*u**4 + 400*u + 9.
3*(u - 39)*(u - 3)*(u + 1)**2
Let q(k) be the second derivative of -k**4/12 - k**3 - 7*k**2/2 + 28*k. Let m be q(-3). Let 164 - 6*a**m - 3*a**3 - 164 + 3*a**4 = 0. Calculate a.
-1, 0, 2
Let h(z) be the second derivative of z**5/75 - z**4/15 + 33*z**2/2 - 7*z - 4. Let k(w) be the first derivative of h(w). Find y such that k(y) = 0.
0, 2
Suppose -5*i - 3692 = -2*l, 0 = 2*i - 3*l + 752 + 716. Let y = i - -2961/4. Let 0*u**3 + 0 + 1/4*u**4 - y*u**2 + 0*u = 0. What is u?
-1, 0, 1
Let d(m) = -m**3 + 8*m**2 - m + 6. Let v be d(7). Factor -3*t**4 + 0*t**4 - 293*t**3 - v*t + 305*t**3 + 48.
-3*(t - 2)**3*(t + 2)
Let j(x) be the second derivative of -x**5/30 - 2*x**4/3 + x**3/9 + 4*x**2 - 1906*x. Suppose j(u) = 0. Calculate u.
-12, -1, 1
Solve -7*t**3 - 311*t + 35*t**4 - 3*t**2 + 311*t - 2*t**4 - 23*t**3 = 0 for t.
-1/11, 0, 1
Let i(u) be the second derivative of u**7/84 + 13*u**6/40 - 797*u**5/20 + 969*u**4 - 9000*u**3 + 12096*u**2 + 2337*u. Solve i(n) = 0 for n.
-56, 1/2, 12
Let n(h) = 6*h**2 - 335*h - 54. Let d be n(56). Let l(x) be the second derivative of 1/48*x**4 - 10*x + 0 + 0*x**d + 1/12*x**3. Factor l(b).
b*(b + 2)/4
Let u(w) be the third derivative of -13*w**5/30 + 25*w**4/6 + 8*w**3/3 + 5450*w**2. Factor u(x).
-2*(x - 4)*(13*x + 2)
Let w(v) be the second derivative of v**5/570 - 25*v**3/57 + 121*v**2/2 - 89*v. Let p(y) be the first derivative of w(y). Determine x so that p(x) = 0.
-5, 5
Let z(s) be the second derivative of 20/3*s**3 - 251/10*s**5 - 574/5*s**6 + 21*s**7 - 2*s + 164/3*s**4 - 16*s**2 - 2. Find g such that z(g) = 0.
-1/3, 2/7, 4
Determine d, given that 2*d**2 - 174 - 92*d + 366 - 102 = 0.
1, 45
Determine a so that 6 + 377*a**2 - 6*a**5 + 6 - 498*a**3 - 12 + 110*a**4 - 223*a**2 = 0.
0, 1/3, 7, 11
Let g(j) be the first derivative of j**5/20 - j**4/4 - j**3/12 + j**2/2 - 1059. Find t, given that g(t) = 0.
-1, 0, 1, 4
Find z such that -3/4*z**3 + 93/2*z**2 + 0 - 90*z = 0.
0, 2, 60
Let a(p) = 2*p**2 - 81*p + 589. Let y be a(31). Let x(u) be the third derivative of 0*u**4 + y*u + 0 + 0*u**3 - 1/600*u**6 - 36*u**2 - 1/50*u**5. Factor x(v).
-v**2*(v + 6)/5
Let f(j) be the third derivative of j**6/600 + 17*j**5/300 + 3*j**4/4 + 24*j**3/