 d be (-24)/84 + (-32)/(-14). Factor 310 - 112*t + 43*t**d + 474 - 39*t**2.
4*(t - 14)**2
Let y = 72 + -36. Let i(z) = z**3 + 10*z**2 + 16*z - 42. Let h be i(-5). Solve 36*o - 2*o**h - 72*o + y*o - 6*o**2 = 0.
-3, 0
Let b(k) be the first derivative of -k**6/27 - 16*k**5/45 + k**4/6 + 28*k**3/3 + 24*k**2 - 6064. Determine a so that b(a) = 0.
-6, -3, 0, 4
Let h(y) be the first derivative of 26*y + 0*y**3 + 30 + 0*y**2 + 1/10*y**5 + 1/6*y**4. Let g(m) be the first derivative of h(m). Factor g(u).
2*u**2*(u + 1)
Let n(m) be the second derivative of m**5/200 - m**4/20 + 2*m**3/15 + m + 881. Solve n(g) = 0.
0, 2, 4
Suppose 1000*o + 472*o + 17*o**2 + 1056 - 412*o - 13*o**2 = 0. What is o?
-264, -1
Let h be ((-4)/((-72)/129))/(50/6933750*25). What is q in -h + 5547/2*q + 1/2*q**3 - 129/2*q**2 = 0?
43
Factor 3021/7*h - 6498/7 + 16*h**2 + 1/7*h**3.
(h - 2)*(h + 57)**2/7
Find v, given that 0 - 2/5*v**2 - 4136/5*v = 0.
-2068, 0
Let n(g) be the first derivative of -111 - 2/9*g**4 + 0*g + 2/27*g**3 - 2/45*g**5 + 4/9*g**2. Find c such that n(c) = 0.
-4, -1, 0, 1
Let y(u) = -u**5 + u**4 + u**2 - u + 2. Let p(b) = 823873*b**5 - 1571698*b**4 + 674115*b**3 + 71396*b**2 + 2290*b + 28. Let r(o) = p(o) - 2*y(o). Factor r(d).
3*(d - 1)**2*(65*d + 2)**3
Let m(b) be the second derivative of -1 + 8/5*b**3 - 3/100*b**5 + 16*b + 0*b**2 + 3/10*b**4. Factor m(f).
-3*f*(f - 8)*(f + 2)/5
Let o(x) be the third derivative of -3/32*x**5 + 4 + 41/960*x**6 - 1/24*x**3 - 13/1680*x**7 + 0*x + 19/192*x**4 + x**2. Solve o(c) = 0.
2/13, 1
Let f(m) = -m**2 + 292*m - 2052. Let l(n) = 153*n - 1026. Let x(g) = -3*f(g) + 5*l(g). Factor x(t).
3*(t - 19)*(t - 18)
Find t, given that -91/2*t**3 - 1/4*t**5 - 96*t + 0 + 23/4*t**4 + 136*t**2 = 0.
0, 1, 6, 8
Let o(g) = 2*g**2 + 14*g + 420. Let l(w) = w**2 + 15*w + 425. Let b(q) = 4*l(q) - 3*o(q). Factor b(j).
-2*(j - 20)*(j + 11)
Let r(g) be the first derivative of -25*g**3/4 + 315*g**2/4 - 1323*g/4 - 522. Let r(w) = 0. Calculate w.
21/5
Let x(c) = -c**3 - 281*c**2 + 243*c - 10995. Let n be x(-282). Factor -48/5*b + 6*b**2 - 3/5*b**n + 0.
-3*b*(b - 8)*(b - 2)/5
Factor -2/11*p**3 - 284/11*p**2 - 10082/11*p + 0.
-2*p*(p + 71)**2/11
Suppose -43*y - 4 = -45*y. Let o(t) be the first derivative of -4/9*t**y - 4/27*t**3 + 0*t - 4. Factor o(a).
-4*a*(a + 2)/9
Suppose 3*s + 5*o - 144 = 0, 2*s = -2*o - 23 + 119. Factor s*g + 8*g**3 - 20*g**3 - 8 + 72 + 8*g**3.
-4*(g - 4)*(g + 2)**2
Let c(j) = -5*j + 150. Let i be c(29). Suppose -7*d**3 + 110*d**2 - 110*d**2 - i*d**3 + 4*d**4 = 0. What is d?
0, 3
Let z = -205290 + 205292. Factor -54*r**3 - 78*r**z - 80/3*r - 8/3.
-2*(r + 1)*(9*r + 2)**2/3
Let x(y) be the first derivative of 5*y**3/3 - 315*y**2 + 1240*y + 26. Let x(u) = 0. Calculate u.
2, 124
Factor -484 + 2/3*w**2 - 722/3*w.
2*(w - 363)*(w + 2)/3
Let g be (20/(-12))/((-20)/48). Suppose 5 = g*v - 3. Let -n**3 + 0 + n**5 + 0*n + 1/4*n**4 - 1/4*n**v = 0. What is n?
-1, -1/4, 0, 1
Let b(l) be the first derivative of 1/48*l**4 + l**2 + 0*l**3 + 0*l + 12 - 1/120*l**5. Let a(q) be the second derivative of b(q). Factor a(j).
-j*(j - 1)/2
Let n = 82 - -38. Let t = 142 - n. Factor -9*w**3 - 12 - 10*w**3 + t*w**3 + 24*w - 15*w**2.
3*(w - 2)**2*(w - 1)
Let 2/5*c**3 - 22/5*c**2 + 4*c + 0 = 0. What is c?
0, 1, 10
Let d(w) be the second derivative of -w**5/70 + 74*w**4/21 + w**3/21 - 148*w**2/7 + 99*w + 2. Find f such that d(f) = 0.
-1, 1, 148
Suppose -361*k + 15 = -4*o - 356*k, 3 = -5*o + k. Determine n, given that -2/9*n**4 - 2/9*n**3 + o + 4/9*n**2 + 0*n = 0.
-2, 0, 1
Let c(p) be the third derivative of -361/2*p**3 + 0 - 100*p**2 + 323/8*p**4 + 1/40*p**6 + 0*p + 37/20*p**5. Let c(i) = 0. What is i?
-19, 1
Let f(w) be the second derivative of -w**6/20 + 3*w**5/40 + w**4/8 - w**3/4 + 1895*w. Factor f(j).
-3*j*(j - 1)**2*(j + 1)/2
Let v(a) be the third derivative of -a**7/525 - 11*a**6/300 + a**5/5 + 11*a**4/15 - 104*a**3/15 + 807*a**2. What is s in v(s) = 0?
-13, -2, 2
Let g(x) be the first derivative of -2*x**5/5 + 89*x**4 - 13154*x**3/3 - 119616*x**2 - 903168*x - 9269. Determine h so that g(h) = 0.
-7, 96
Let n = 4846 + 10. What is a in -4 + n*a**2 + 4 - 4861*a**2 + 70*a = 0?
0, 14
Let u be 1/(12/8) + (-14482)/(-39). Suppose u*r = 364*r + 24. Determine g, given that 0*g**4 + 0*g**r + 3/2*g**5 + 0*g**2 + 0 + 0*g = 0.
0
Factor -2/15*h**2 + 124/5*h - 5766/5.
-2*(h - 93)**2/15
Let m(s) be the second derivative of -4*s**7/21 - 9*s**6/5 - 9*s**5/5 - 73*s - 3. Factor m(o).
-2*o**3*(o + 6)*(4*o + 3)
Find t, given that -613/5*t - 246/5 + 126/5*t**3 - 364/5*t**2 + 122/5*t**4 - 1/5*t**5 = 0.
-1, 2, 123
Suppose -s - 17 + 20 = 0. Suppose 1 = -s*y + 10. Factor 21*b**2 - b**y + 0*b**2 - 9*b**2 + 5*b**3.
4*b**2*(b + 3)
Factor 2/9*d**2 - 144 - 68/3*d.
2*(d - 108)*(d + 6)/9
Determine d so that -14*d - 848 + 50*d - 91*d - 3*d**2 - 149*d + 5*d**2 = 0.
-4, 106
Determine i so that -117436/3*i**2 - 7514/9*i**3 - 40/9*i**4 + 35344/9 + 53768/9*i = 0.
-94, -1/4, 2/5
Let q(m) be the first derivative of -m**6/21 + 206*m**5/35 - 255*m**4 + 85544*m**3/21 - 39304*m**2/7 + 4035. Factor q(y).
-2*y*(y - 34)**3*(y - 1)/7
Let x(a) be the third derivative of a**6/120 - 13*a**5/60 + 11*a**4/24 + 8*a**3/3 + 8*a**2 + 6. Let c be x(12). Factor 1/5*i**2 + 1/5*i**c + 0 + 2/5*i**3 + 0*i.
i**2*(i + 1)**2/5
Let m(v) = -110*v**3 - 3420*v**2 - 5655*v - 2795. Let c(g) = -5*g**3 - 155*g**2 - 257*g - 127. Let o(i) = -45*c(i) + 2*m(i). Factor o(p).
5*(p + 1)**2*(p + 25)
Let m = 33 + -33. Suppose m = q, -3*c + 168 = q - 3*q. Solve -3*g**2 + 2*g**2 - 60*g - 236 - 4*g**2 + c = 0.
-6
Let l(g) = 6*g**4 - 56*g**3 + 420*g**2 - 664*g + 310. Let k(d) = -5*d**4 + 56*d**3 - 418*d**2 + 664*d - 309. Let t(j) = -8*k(j) - 6*l(j). Factor t(o).
4*(o - 17)*(o - 9)*(o - 1)**2
Suppose -2*m = -5*x + 11, -2*m = 2*x - 280 + 270. Suppose -4 = 8*l - 20. Determine p, given that 13/5*p - 6/5 + 1/5*p**x - 8/5*p**l = 0.
1, 6
Factor -3/2*l + 0 + 1/4*l**3 - 1/4*l**2.
l*(l - 3)*(l + 2)/4
Solve 4880*y + 22*y**5 - 337*y**5 + 4853 + 1867 + 12300*y**4 + 40360*y**3 - 54720*y**2 = 0 for y.
-4, -2/7, 2/3, 42
Let l = 446 - 1603. Let h = l + 1157. Suppose 0 + h*y + 6*y**5 + 16*y**3 + 58/3*y**4 + 8/3*y**2 = 0. What is y?
-2, -1, -2/9, 0
Suppose -b - 4*b - 71 = -4*d, 3*d - 48 = 2*b. Suppose 18*s**4 + 12*s + 1 + 7 - 14*s**2 - 6*s**2 - 12*s**3 + 8 - d*s**4 = 0. What is s?
-1, 1, 4
Let i(h) be the first derivative of -h**2/2 - h - 9. Let n be i(-3). Factor n*u - 12*u**2 + 32*u**2 + 6*u.
4*u*(5*u + 2)
What is v in -32/5*v**3 - 2/5*v**5 + 16/5*v**4 - 4 + 34/5*v + 4/5*v**2 = 0?
-1, 1, 2, 5
Let p = 10321183/5 - 2064236. Factor -48/5 + 51/5*s - p*s**2.
-3*(s - 16)*(s - 1)/5
Let p be (-1257 - -1273)*(-15)/(-48). Suppose -p*s - 15 + 5/4*s**2 = 0. Calculate s.
-2, 6
Let q(j) be the second derivative of -1/84*j**7 + 1/15*j**6 + 2*j + 1/20*j**5 - 3/4*j**3 - 1/2*j**4 + 0*j**2 - 34. Suppose q(g) = 0. What is g?
-1, 0, 3
Factor -496*r - 215*r**2 - 56*r**2 - 34*r**3 - 371*r - 14*r**3 - 137*r**2.
-3*r*(4*r + 17)**2
Let p(z) be the third derivative of -z**6/360 + 19*z**5/720 + z**4/36 - 5*z**3/24 + 348*z**2. Factor p(t).
-(t - 5)*(t + 1)*(4*t - 3)/12
Let f(z) be the first derivative of -3/5*z**5 + 0*z**3 + 0*z**2 + 0*z + 151 + 3/16*z**4. Factor f(p).
-3*p**3*(4*p - 1)/4
Let k(z) be the third derivative of 0 - 1/20*z**5 + 0*z**3 + 3/4*z**4 + 0*z + 62*z**2. What is j in k(j) = 0?
0, 6
Let -1231/5*t**2 + 824/5 - 3/5*t**3 + 2062/5*t = 0. Calculate t.
-412, -1/3, 2
Let q be ((-150)/(-10) - 7)/((-5)/((-5)/2)). Let k(a) be the third derivative of 1/330*a**5 - 22*a**2 + 49/33*a**3 + 0 + 0*a - 7/66*a**q. Factor k(s).
2*(s - 7)**2/11
Suppose 34 = -3*o + 145. Suppose 5*d = o - 37. Factor k**4 + d*k - 1/3*k**5 - 2/3*k**3 + 0*k**2 + 0.
-k**3*(k - 2)*(k - 1)/3
Factor -2/13*b**2 - 38/13 - 40/13*b.
-2*(b + 1)*(b + 19)/13
Let m = 390 + -390. Suppose m = -49*j + 35*j + 42. Find p such that 3/4*p - 3/4*p**j + 0 + 0*p**2 = 0.
-1, 0, 1
Let i be 14 + -14 - (316/320 - 1). Let r(d) be the second derivative of 0 - 1/24*d**3 - 3/8*d**2 + 8*d + 1/16*d**4 + i*d**5. Factor r(o).
(o - 1)*(o + 1)*(o + 3)/4
Let q(h) = -566*h**3 - 376*h**2 - 83*h - 13. Let z(n) = -130*n**3 - 94*n**2 - 21*n - 3. Let c(v) = -6*q(v) + 26*z(v). Factor c(t).
4*t*(t - 12)*(4*t + 1)
Suppose k = -3*k + 40. Let l(o) = -o**2 + 77*o - 7