0 + 0*j**2 + 0*j + 2/3*j**4 - 2/3*j**s = 0.
0, 1
Let r = 135/191 + -1531/3247. Let -4/17 + r*w**2 - 6/17*w**3 + 6/17*w = 0. What is w?
-1, 2/3, 1
Let s = 1066 + -2070. Let z = s + 4025/4. Factor 33/4*y**2 + z + 15/2*y + 3*y**3.
3*(y + 1)**2*(4*y + 3)/4
Let n(j) be the third derivative of 0 - 22/105*j**5 + 0*j - 43/42*j**4 + 4/21*j**3 - 243*j**2. Factor n(o).
-4*(o + 2)*(22*o - 1)/7
Let t(a) = 5*a**4 - 20*a**3 + 85*a**2 - 88*a + 24. Let q(k) = -35*k**4 + 145*k**3 - 595*k**2 + 615*k - 170. Let g(w) = 3*q(w) + 20*t(w). Factor g(y).
-5*(y - 3)*(y - 2)*(y - 1)**2
Solve -104882/11 - 2/11*t**2 + 916/11*t = 0.
229
Let g(p) be the third derivative of p**5/5 + 341*p**4/8 + 85*p**3/2 - p**2 + 62. What is r in g(r) = 0?
-85, -1/4
Let b(f) be the second derivative of -3600/11*f**2 - 77 - 1/66*f**4 - f + 40/11*f**3. Solve b(t) = 0 for t.
60
Let 6*v**4 + 6 + 63*v**2 - 75/2*v - 75/2*v**3 = 0. Calculate v.
1/4, 1, 4
Let b = -41 - -58. Factor 0*l + 5*l - 8*l + 10*l**2 + b*l - 12.
2*(l + 2)*(5*l - 3)
Let r = -416989 - -833979/2. Determine p so that 0 + 0*p - r*p**4 - 1/6*p**5 + 0*p**3 + 2/3*p**2 = 0.
-2, 0, 1
Let s(b) be the second derivative of 7*b**4/60 + 3*b**3/5 + 11*b**2/10 + 687*b. Determine y, given that s(y) = 0.
-11/7, -1
Let p be ((5 - 5/(-10)) + -4)/(56/42). Determine c, given that -3/8*c**2 - p - 3/2*c = 0.
-3, -1
Let r be 21 + (-234)/(14 - 1). Factor 0 - 3/5*t**4 + 6/5*t - r*t**2 + 12/5*t**3.
-3*t*(t - 2)*(t - 1)**2/5
Let t(o) be the third derivative of -o**8/2184 - 3*o**7/455 - 23*o**6/780 - o**5/26 + 6*o**2 + 103. What is s in t(s) = 0?
-5, -3, -1, 0
Let j(u) = -u**2 - 3*u - 3. Let q be j(-3). Let a be (q - (-5 + 0))/((-1)/(-11)). Factor 9*p**3 - 2*p + 5*p**2 + 12*p**3 - 8 - a*p**3.
-(p - 4)*(p - 2)*(p + 1)
Let r(m) = 22*m**2 + 71*m + 328. Let x(a) = 212*a**2 + 711*a + 3280. Let b(v) = 58*r(v) - 6*x(v). Determine j so that b(j) = 0.
-4, 41
Let a(w) be the third derivative of w**8/560 + 38*w**7/175 + 3*w**6/8 - 2702*w**2. Find j such that a(j) = 0.
-75, -1, 0
Let y(g) be the second derivative of 0 - 1/12*g**3 + 1/160*g**5 + 23*g + 1/336*g**7 + 1/60*g**6 - 5/48*g**4 + 1/2*g**2. Suppose y(v) = 0. Calculate v.
-2, 1
Let d(x) be the first derivative of x**5/25 + 3*x**4/4 + 21*x**3/5 + 49*x**2/10 - 374. Factor d(v).
v*(v + 1)*(v + 7)**2/5
Suppose -75*o + 21 = -68*o. Factor -40*m**2 - 4*m**4 + 2*m**4 + 6*m**4 + 20*m**o - 5*m**5 + 6*m**4.
-5*m**2*(m - 2)**2*(m + 2)
Suppose 105 + 402 = -f. Let b = f - -507. Factor b + 5/3*h - 55/6*h**2.
-5*h*(11*h - 2)/6
Factor -16*k + 0 + 2/15*k**3 - 116/15*k**2.
2*k*(k - 60)*(k + 2)/15
Let q(b) be the third derivative of b**7/168 + 5*b**6/36 - 8*b**3/3 + 2*b**2 - 38*b. Let j(d) be the first derivative of q(d). Factor j(s).
5*s**2*(s + 10)
Let b(j) = j - 8. Suppose 3*p + 2*y - 36 = 0, 5*y - 24 = -2*p + 3*y. Let s be b(p). Determine o so that 15*o**3 - 14*o**3 + o**5 - 2*o**4 + 0*o**s + 4*o**4 = 0.
-1, 0
Suppose 4*m - 30355 + 30341 = -3*d, 4*m - 5*d + 2 = 0. Determine w so that 11/10*w**m - 1/10*w**4 + 4/5 - 9/5*w + 0*w**3 = 0.
-4, 1, 2
Let m(l) = -2*l - 12. Let w be m(-12). Let f = w - 8. Solve -f*s**5 + 26*s**3 - 3*s**4 + 189*s - 207*s - 2*s**2 + 9*s**4 - 4 - 4*s**5 = 0.
-1, -1/4, 1, 2
Suppose 1260 = 14*d + 21*d. Determine b, given that -109*b + 15*b**2 + d*b + 2*b**3 - 60 + 3*b**3 + 53*b = 0.
-3, -2, 2
Let q(s) = -s**3 - 35*s**2 - 34*s + 4. Let w be q(-34). Let -h**5 + 98*h - 3*h**w + 7*h**2 - 98*h - 4 + h**3 = 0. Calculate h.
-2, -1, 1
Suppose 4*m - v = 47 - 19, 2*v + 38 = 5*m. Let o(k) be the first derivative of 49/18*k**4 - 40/9*k - 136/9*k**2 - 434/27*k**3 - m. Suppose o(j) = 0. What is j?
-2/7, 5
Let q = 226605 - 226605. Factor -6/7*j**3 + 0*j + 2/7*j**4 + 4/7*j**2 + q.
2*j**2*(j - 2)*(j - 1)/7
Let n(g) be the third derivative of 1/15*g**5 + 0*g - 185*g**2 - 1/10*g**6 - 4/3*g**3 + 0 + 1/2*g**4 + 2/105*g**7. Let n(u) = 0. Calculate u.
-1, 1, 2
Let k(q) be the second derivative of -10/3*q**3 + 0*q**2 - q + 1/12*q**5 - 5/9*q**4 + 29. Determine c so that k(c) = 0.
-2, 0, 6
Suppose 9*q - 577 + 1107 = 557. Let a(j) = -j - 4. Let k be a(-6). Determine d so that 0 - 2/5*d**k + 1/5*d + 1/5*d**q = 0.
0, 1
Let o be 248/(-186)*117/(-52). Factor 5/2*j + 3 - 1/2*j**o - j**2.
-(j - 2)*(j + 1)*(j + 3)/2
Let c be (-2)/(6 + 0) - (-23274)/(-162). Let u be (-624)/c*2/13. Solve 1/6*h**2 - u + 2/3*h - 1/6*h**3 = 0 for h.
-2, 1, 2
Let j(f) be the first derivative of -2/3*f**3 + 0*f - 1/5*f**5 - 3/4*f**4 + 0*f**2 + 55. Solve j(g) = 0.
-2, -1, 0
Let z(a) = -3*a**2 + 15*a - 8. Let h be z(6). Let t(s) = 30*s**3 - 8*s**2 - 13. Let k(y) = 7*y**3 - 2*y**2 - 3. Let x(g) = h*k(g) + 6*t(g). Factor x(o).
-2*o**2*(o - 2)
Let l(t) be the second derivative of t**5/210 + 3*t**4/28 + 8*t**3/21 - 24*t**2 - 2*t - 47. Let v(k) be the first derivative of l(k). Find b such that v(b) = 0.
-8, -1
Let d(r) = -4*r**3 + 4*r + 5. Let m(f) = -9 + 23 - 2 - 11. Let i be 46/(-10) - (-6)/(-15). Let w(a) = i*m(a) + d(a). Find k, given that w(k) = 0.
-1, 0, 1
Let j(k) be the third derivative of -1/36*k**4 - 42*k**2 - 1/630*k**7 + 0*k + 1/60*k**5 + 0*k**6 + 0*k**3 + 0. Determine o, given that j(o) = 0.
-2, 0, 1
Let i(r) = r**3 + 4*r**2 - 6*r - 1. Let q be i(-5). Let h = -247691/3 + 82565. Suppose -5/3*s**3 + h*s**q + 0 + 1/3*s**2 + 0*s = 0. Calculate s.
0, 1/4, 1
Let x(l) be the third derivative of 0*l**4 + 1/42*l**7 + 0*l**6 + 0 + 0*l - 49/12*l**5 + 0*l**3 + 148*l**2. Factor x(w).
5*w**2*(w - 7)*(w + 7)
Determine b so that -5/3*b**3 + 0 - 12*b - 12*b**2 + 1/3*b**5 + 4/3*b**4 = 0.
-3, -2, 0, 3
Let f(w) be the second derivative of w**4/108 - 235*w**3/27 + 469*w**2/18 + 9677*w. Factor f(m).
(m - 469)*(m - 1)/9
Let c(i) be the second derivative of 3*i**5/140 - i**4/14 - 31*i**3/14 - 6*i**2 - 2*i - 2516. Factor c(n).
3*(n - 7)*(n + 1)*(n + 4)/7
Let c = -28303/3 - -9469. Factor 80/3 + 12*u**2 - 2/3*u**3 + c*u - 2/3*u**4.
-2*(u - 5)*(u + 2)**3/3
Let o(u) = u**3 + 8*u**2 + 4*u - 13. Let c be o(-7). Let m = c - 8. Suppose -3*j**2 + 28*j**3 + 24*j**2 - j**3 - 6*j + m*j = 0. Calculate j.
-1, 0, 2/9
Factor -93 + 52*z**2 - 34 - 103 + 382 + 996*z.
4*(z + 19)*(13*z + 2)
Let u(t) be the second derivative of t**5/8 - 15*t**4/4 - 17*t - 15. Find a such that u(a) = 0.
0, 18
Let 30*q**4 - 54*q**5 + 0 + 443/6*q**3 - 169/6*q - 65/3*q**2 = 0. Calculate q.
-13/18, 0, 1
Let j be -18 - (-31 - -14) - -4. Let s(o) be the second derivative of -6*o + 0 + 1/30*o**4 + 0*o**2 + 2/15*o**j. Factor s(i).
2*i*(i + 2)/5
Let m = 1695023/711 + -35/79. Let k = 2388 - m. Factor -16/9 + 14/9*q**3 - 2/9*q**4 - 4*q**2 + k*q.
-2*(q - 2)**3*(q - 1)/9
Find y such that -34/9*y**2 + 2/9*y**5 + 0 - 38/9*y**4 + 70/9*y**3 + 0*y = 0.
0, 1, 17
Factor 0 - 816/7*z**2 + 0*z - 4/7*z**3.
-4*z**2*(z + 204)/7
Let v be 4/(-1 - (0 - 2)). Factor -40*l + 14*l**2 - 3*l**3 + 24 - 2*l**4 + 2*l**3 + v*l**3 + l**3.
-2*(l - 2)**2*(l - 1)*(l + 3)
Factor -4/3*k - 428/3 + 428/3*k**2 + 4/3*k**3.
4*(k - 1)*(k + 1)*(k + 107)/3
Let v(p) be the second derivative of p**6/90 - 14*p**5/15 + 98*p**4/3 - 5488*p**3/9 - 109*p**2/2 - 206*p. Let o(l) be the first derivative of v(l). Factor o(m).
4*(m - 14)**3/3
Solve 1640250 + 36720*q**2 + 812/3*q**3 + 2/3*q**4 + 1676700*q = 0 for q.
-135, -1
Let i be (((-2037)/6)/(-7))/((-60)/8) - -13. Suppose i - 28/15*b + 2/15*b**2 = 0. What is b?
7
Let c be (-4)/(-34) - (2123424/(-102))/(-16). Let i = c + 6509/5. Factor -8/5*u**2 - i + 2*u + 2/5*u**3.
2*(u - 2)*(u - 1)**2/5
Let y(g) be the first derivative of -g**4/12 + 2*g**3/9 - g**2/6 + 483. Let y(h) = 0. Calculate h.
0, 1
Let z = 29495559/17 - 1734497. Let a = 536 - z. Factor -4/17*m - 2/17 - a*m**2.
-2*(m + 1)**2/17
Let z(b) = 4*b**2 - 161*b + 160. Let j(o) = 144 - 160*o - 237*o**2 + 16 + 241*o**2. Let p(m) = 3*j(m) - 4*z(m). Solve p(n) = 0.
1, 40
Let g(u) = -5*u**4 + 13*u**3 + 36*u**2 - 13*u - 49. Let c(o) = 12*o**4 - 25*o**3 - 71*o**2 + 29*o + 97. Let k(q) = -9*c(q) - 21*g(q). What is w in k(w) = 0?
-13, -2, 1
Determine c so that 44 + 34/3*c - 20/3*c**2 - 2/3*c**3 = 0.
-11, -2, 3
Let f(i) be the third derivative of -i**5/240 - 19*i**4/48 + 13*i**3/8 + 1226*i**2. Let f(a) = 0. What is a?
-39, 1
Let s = 1816 + -1814. Let f be (14 - (-171)/(-12))/(s/(-16)). Factor -52/19*x - 2/19*x**f - 338/19.
-2*(x + 13)**2/19
Let h = 1123/30 - -449/10. Let g = h + -1154/15. F