, 2*l - 6 = 145*o - 144*o. Determine g, given that l*g**3 + 0*g - 1/4*g**4 + 0*g**2 + 0 = 0.
0
Let a(m) be the first derivative of -m**4/30 + 11*m**3/15 - 6*m**2 + 238*m + 222. Let f(p) be the first derivative of a(p). Factor f(v).
-2*(v - 6)*(v - 5)/5
Suppose -45 = -15*k - 15. Let u(i) be the third derivative of -1/21*i**4 + 0*i - 2*i**k + 0 - 1/21*i**3 - 1/105*i**6 - 1/735*i**7 - 1/35*i**5. Factor u(s).
-2*(s + 1)**4/7
Let n(y) = -y**4 - 202*y**3 - 9*y**2 + 200*y - 4. Let q(p) = -20*p**4 - 3435*p**3 - 155*p**2 + 3400*p - 70. Let k(w) = 35*n(w) - 2*q(w). What is s in k(s) = 0?
-1, 0, 1, 40
Let c = -10213 - -10213. Let d(b) be the second derivative of c + 16/69*b**3 + 64/23*b**2 + 2*b + 1/138*b**4. Factor d(n).
2*(n + 8)**2/23
Factor -16*d + 1/2*d**3 + 192 - 5*d**2.
(d - 8)**2*(d + 6)/2
Let 165*g**3 + 57*g**4 - 8*g - 2271*g**5 + 2272*g**5 + 61*g + g + 163*g**2 = 0. Calculate g.
-54, -1, 0
Suppose 2*m - 26 = -i, m = -5*i + 53 + 41. Factor 278*r**2 + 259*r**2 - 12*r - 39*r**3 - 3*r**5 - i*r**4 - 573*r**2.
-3*r*(r + 1)**2*(r + 2)**2
Let b(s) be the second derivative of 9*s**5/2 + 46*s**4/3 + 49*s**3/3 + 2*s**2 - 260*s. Solve b(g) = 0.
-1, -2/45
Let f = 73001 - 365003/5. Factor -18/5*g - 16/5*g**2 + 0 + f*g**3.
2*g*(g - 9)*(g + 1)/5
Suppose -8*m + 7384 = 7352. Factor 2/9*l**m + 0*l - 8/9*l**3 + 0 + 8/9*l**2.
2*l**2*(l - 2)**2/9
Let w(b) be the first derivative of -194 - 5/4*b**4 + 0*b + 0*b**2 + 250/3*b**3. Factor w(x).
-5*x**2*(x - 50)
Let t = 1467 + -1638. Let x be 6/(-57) - 588/t. Find l such that -32/3 + 32/3*l + 1/3*l**3 - x*l**2 = 0.
2, 4
Let m(s) be the first derivative of s**4/18 + 20*s**3/27 + 16*s**2/9 + 843. Factor m(u).
2*u*(u + 2)*(u + 8)/9
Let u = 40/79 + 155/474. Let h(j) be the first derivative of -4/3*j - u*j**4 + 5/3*j**2 + 10 + 4/9*j**3. Factor h(c).
-2*(c - 1)*(c + 1)*(5*c - 2)/3
Let q be ((-2)/6)/(9/(-17334)*6). Suppose -20*k = 7 - q. Solve v**3 + 1/5*v**k + 0*v - 2/5*v**2 + 0 - 4/5*v**4 = 0 for v.
0, 1, 2
Suppose 3430*r - 3567*r + 411 = 0. Suppose 9/4*z - 3/2*z**r + 0 - 15/8*z**2 = 0. Calculate z.
-2, 0, 3/4
Let s = -34919/6 - -5820. Let a(f) be the second derivative of -1/30*f**5 - 7*f - f**2 + s*f**4 + 0 + 1/9*f**3. What is t in a(t) = 0?
-1, 1, 3
Let l(o) = 195*o + 3904. Let j be l(-20). Let v(x) be the second derivative of 0*x**2 - 3*x**3 - 8*x + 3/4*x**5 + 13/4*x**j + 0. Find g such that v(g) = 0.
-3, 0, 2/5
Let j(t) = 95*t**4 + 890*t**3 - 2330*t**2 + 620*t + 140. Let c(m) = -m**4 + m**2 + 2*m - 2. Let v(y) = 70*c(y) + j(y). Determine d so that v(d) = 0.
-38, 0, 2/5, 2
Let j = 41 + 8. Suppose -j*o = -50*o + 17. Solve -15 - 13*h + 4*h - o*h - 5*h**2 + 6*h = 0 for h.
-3, -1
Let p(c) be the third derivative of -c**8/84 + 66*c**7/35 + 10*c**6/3 - 825*c**2 + 2. Factor p(g).
-4*g**3*(g - 100)*(g + 1)
Solve -5*w - 1/2*w**2 + 1/4*w**3 - 6 = 0.
-2, 6
Let f = -9866 - -9869. Let c(x) be the third derivative of 0 - 2/9*x**f - 5/36*x**4 + 0*x - 15*x**2 - 1/30*x**5. Factor c(g).
-2*(g + 1)*(3*g + 2)/3
Let o(h) be the second derivative of -13*h**7/42 - 5*h**6/3 + 43*h**5/10 + 10*h**4/3 - 73*h**3/6 + 5*h**2 - 3688*h. Let o(f) = 0. What is f?
-5, -1, 2/13, 1
Let h(v) be the second derivative of v**5/100 + v**4/40 - 6*v**3/5 + 53*v**2 - 49*v. Let u(p) be the first derivative of h(p). Factor u(q).
3*(q - 3)*(q + 4)/5
Let z(r) = r + 2. Let l(d) = d**3 - 20*d**2 + 57*d - 26. Let x(n) = -l(n) + 4*z(n). Solve x(q) = 0 for q.
1, 2, 17
Let b(o) be the second derivative of o**5/390 + 8*o**4/13 + 768*o**3/13 - 111*o**2 - 91*o. Let g(c) be the first derivative of b(c). What is z in g(z) = 0?
-48
Find o, given that -247*o - 593*o - 8104*o**3 + 7*o**2 + 8103*o**3 + 900 - 66*o**2 = 0.
-30, 1
Let i(q) be the second derivative of q**4/66 + 1556*q**3/33 + 1555*q**2/11 - 7496*q. Factor i(k).
2*(k + 1)*(k + 1555)/11
Suppose -35*t - 1231 = -287*t - 223. Let 3*m**t - m + 0 - 5/2*m**3 - 13/2*m**2 = 0. What is m?
-1, -1/6, 0, 2
Let a(f) = -f**4 - 2*f**3 + 2*f**2 - 1. Let s(t) = 16*t**4 - 8*t**3 - 290*t**2 - 420*t + 18. Let u(h) = 36*a(h) + 2*s(h). Determine x so that u(x) = 0.
-14, -5, -3, 0
Suppose -451*g + 453*g - 41 = 43. Let r(f) be the first derivative of 2/9*f**3 + 2/5*f + 8/15*f**2 - g. Factor r(u).
2*(u + 1)*(5*u + 3)/15
Let q(n) be the third derivative of 0*n**7 + 0*n**4 - 45*n**2 + 0*n + 0 + 0*n**5 + 1/112*n**8 - 1/40*n**6 + 0*n**3. Determine h so that q(h) = 0.
-1, 0, 1
Let d = -1984 + 3647. Let v = 3329/2 - d. Determine u, given that v*u**2 + 0 + 3/2*u = 0.
-1, 0
Suppose 544*b - 934 - 590 = 36*b. Let k(m) be the first derivative of -1/3*m**b - 6*m + 5/2*m**2 + 43. Solve k(a) = 0.
2, 3
Find f, given that -1496/3 - 76/3*f**3 + 222*f**2 + 2/3*f**4 + 904/3*f = 0.
-2, 1, 17, 22
Let z(s) be the second derivative of -s**4/84 - 377*s**3/21 - 142129*s**2/14 + 2896*s. Find b such that z(b) = 0.
-377
Let q(s) be the first derivative of s**4/10 + 6*s**3/5 - 81*s**2/5 + 54*s + 148. Find i such that q(i) = 0.
-15, 3
Let l be 30/(-4)*784/(-21). Suppose -3*x = -10*x + l. Factor -2*q**3 - x + 3*q**3 + 3*q**2 + 36.
(q - 1)*(q + 2)**2
Let q(g) = -12*g**2 + 671*g - 139909. Let i(c) = -c**2 - 7*c - 3. Let r(z) = -22*i(z) + 2*q(z). Factor r(n).
-2*(n - 374)**2
Let i(v) be the first derivative of -1/48*v**3 - 1/8*v**2 + 1/96*v**4 + 7*v - 11. Let u(c) be the first derivative of i(c). Suppose u(f) = 0. What is f?
-1, 2
Let n be (-59)/(-295) + (-2)/5 + 8/40. Solve 8*l**2 + 1/3*l**5 + 22/3*l**4 + 0 + n*l - 47/3*l**3 = 0 for l.
-24, 0, 1
Find i, given that 92/7*i + 134/7*i**2 + 0 - 46/7*i**4 + 2/7*i**5 - 6/7*i**3 = 0.
-1, 0, 2, 23
Let v = 13/15 + 1/3. Let s = 1181/312 + -4657/1560. Factor -v*g**2 + s*g + 2/5.
-2*(g - 1)*(3*g + 1)/5
Let v(o) be the first derivative of -4*o**4 + 444*o**3 - 13608*o**2 - 21168*o + 11015. Factor v(z).
-4*(z - 42)**2*(4*z + 3)
Let c(f) be the first derivative of f**5/80 + 5*f**4/16 + 2*f**3 + 13*f**2 - 231. Let q(p) be the second derivative of c(p). Determine x, given that q(x) = 0.
-8, -2
Let s(c) be the third derivative of -161/8*c**4 + 27*c**2 + 43/60*c**5 + 0 - 1/120*c**6 + 147/2*c**3 + 0*c. Find f such that s(f) = 0.
1, 21
Find z such that 1/2*z**2 + 804 - 1609/2*z = 0.
1, 1608
Factor -3926/15*a - 8/15*a**2 + 982/15.
-2*(a + 491)*(4*a - 1)/15
Let v(p) be the second derivative of 4*p + 11 - 1/24*p**4 - 5/2*p**2 - 11/12*p**3. Factor v(m).
-(m + 1)*(m + 10)/2
Let d = 996 + -980. Suppose 121 = d*j + 57. Factor 9/4*w**3 + 9/2*w**2 + 15/4*w + 3/8*w**j + 9/8.
3*(w + 1)**3*(w + 3)/8
Let q = 1156805/3 - 385483. Factor -q*f + 48 - 10/3*f**2.
-2*(f + 36)*(5*f - 2)/3
Let s(m) be the third derivative of -m**8/1680 + m**6/120 + m**5/60 - 22*m**3/3 - 47*m**2. Let n(g) be the first derivative of s(g). Solve n(u) = 0 for u.
-1, 0, 2
Let p(c) be the third derivative of 0*c - 11/30*c**5 - 133*c**2 + 0 + 0*c**3 - c**4 + 1/60*c**6. Factor p(w).
2*w*(w - 12)*(w + 1)
Suppose 1783*m - 1781*m + 1564 = 0. Let o = -7036/9 - m. Factor -10/9*h + 2/9*h**3 - 2/3 - o*h**2.
2*(h - 3)*(h + 1)**2/9
Let m(x) be the second derivative of x**8/84 - 2*x**7/21 - x**6/30 + x**5/3 + 177*x**2/2 + 64*x - 2. Let t(j) be the first derivative of m(j). Factor t(b).
4*b**2*(b - 5)*(b - 1)*(b + 1)
Suppose 45 = 4*l - 2*o - 7, 0 = -o - 2. Let c be (-2)/(-2)*l/(-3) + 8. Find y, given that 1/4*y**c + 0 - 5/4*y**3 + 3/4*y**2 + 9/4*y = 0.
-1, 0, 3
Let i(w) be the first derivative of 2*w**3/63 + 409*w**2/21 + 2119. Find x such that i(x) = 0.
-409, 0
Suppose -164*w + 2*m = -165*w + 14, 4*w = 4*m - 16. Factor 5/4*i + 0 + 1/4*i**3 - 3/2*i**w.
i*(i - 5)*(i - 1)/4
Let f(u) be the third derivative of -u**6/60 - 467*u**5/30 - 11*u**2 - 7*u + 4. Let f(i) = 0. Calculate i.
-467, 0
Let j(q) be the first derivative of q**4/14 - 10*q**3/3 + 250*q**2/7 + 4543. Factor j(p).
2*p*(p - 25)*(p - 10)/7
Let 4/5*d**2 - 64/5*d - 644/5 = 0. What is d?
-7, 23
Let v be 12/(-4) + 5 + 0. Suppose -83 + 10*d + 0*d**v + 43 + 52 + 2*d**2 = 0. What is d?
-3, -2
Let c(l) be the first derivative of 0*l + 8/51*l**3 + 12/17*l**2 - 1/34*l**4 + 255. Find s, given that c(s) = 0.
-2, 0, 6
Let -2*j**2 - 1939*j + 780 + 4387*j - 2062*j = 0. What is j?
-2, 195
Determine o so that 11*o + 1/3*o**2 + 0 = 0.
-33, 0
Suppose -1323*i - 31*i**3 + 25*i**3 + 655*i + 653*i + 33*i**2 = 0. What is i?
0, 1/2, 5
Find u such that -108/11*u**2 - 196/11*u*