2 = 0.
-2, -1, 8
Let v(s) be the first derivative of 1/210*s**5 - 1/84*s**4 + 0*s - 4/7*s**3 + 29/2*s**2 - 40. Let w(b) be the second derivative of v(b). Factor w(d).
2*(d - 4)*(d + 3)/7
Suppose 28*v + 54 = 37*v. Suppose v = 9*n - 12. Factor 2*x**3 + 0 + 0*x**n + 0*x - 2/7*x**4.
-2*x**3*(x - 7)/7
Let o(h) be the second derivative of -h**7/560 + h**6/30 - h**5/4 + h**4 + h**3 + h**2/2 + 83*h. Let w(d) be the second derivative of o(d). Factor w(x).
-3*(x - 4)*(x - 2)**2/2
Let b(x) be the third derivative of -5 + 1/100*x**5 + 1/30*x**3 - 2*x**2 + 1/30*x**4 + 0*x. Determine g, given that b(g) = 0.
-1, -1/3
Suppose -130*c + 2384 = 466*c. Find x such that -8/9*x**2 - 2/9*x**c + 0 - 10/9*x**3 + 0*x = 0.
-4, -1, 0
Factor -11*k - 1/2*k**2 - 36.
-(k + 4)*(k + 18)/2
Let w = 236581 + -946321/4. Let -3*i**2 + 1/4*i**5 - 2*i - 1/2*i**3 + 0 + w*i**4 = 0. What is i?
-2, -1, 0, 2
Let l(c) be the third derivative of -c**6/120 + 289*c**5/30 + 581*c**4/6 + 388*c**3 + 52*c**2 + 28. Factor l(i).
-(i - 582)*(i + 2)**2
Let q = 1 + 4. Let -885*d**4 - 340*d**4 + 2608*d**5 - 880*d**2 + 320*d - 893*d**q + 80 - 4060*d**3 = 0. What is d?
-1, -2/7, 2/7, 2
Let v(t) be the second derivative of -3*t**5/20 - 261*t**4/2 + 1050*t**3 - 3156*t**2 + 2*t + 1416. Find f, given that v(f) = 0.
-526, 2
Let c(m) = m**2 + 71*m + 668. Let g be c(-11). Let o be 3 + g + (-63)/7. Solve 15/8*h**o - 3*h - 3/2 = 0 for h.
-2/5, 2
Let q(k) be the third derivative of k**6/24 + 13*k**5 + 775*k**4/24 - 16*k**2 + 7*k. Factor q(b).
5*b*(b + 1)*(b + 155)
Suppose -780 = 2333*z - 12445. Suppose 1/5*f**z + 0*f + 0 - 1/5*f**2 + 3/5*f**3 - 3/5*f**4 = 0. Calculate f.
0, 1
Let g be (-105)/42 - ((-12)/(108/63) + 4). Factor 9 - 9/2*c - g*c**3 - 4*c**2.
-(c - 1)*(c + 3)*(c + 6)/2
Suppose 112*b = -2*b. Let m = -14 + 29/2. Find i such that b - 1/2*i**2 + m*i**3 - i = 0.
-1, 0, 2
Suppose 0 = -105*s + 142*s. Let j(z) be the second derivative of -1/50*z**5 + s - 2/15*z**4 + 1/15*z**3 + 4/5*z**2 - 24*z. Find u, given that j(u) = 0.
-4, -1, 1
Let w = -1065 + 1061. Let f be (w/18)/((-112)/72 + 1). Find m such that -3/10*m + 9/5 - f*m**2 + 1/10*m**3 = 0.
-2, 3
Let m be 2 - (-2)/(-8) - 77/(-308). Let 57 - 57 - 10*o + 22*o + 36*o - 4*o**m = 0. Calculate o.
0, 12
Let b(s) be the second derivative of s**6/80 - 9*s**5/80 + 3*s**4/32 + 5*s**3/8 - 2*s - 537. Solve b(m) = 0 for m.
-1, 0, 2, 5
Let m(l) = -866*l**2 - 471*l + 3. Let a(k) = 1732*k**2 + 951*k - 7. Let o(d) = 4*a(d) + 9*m(d). Find c, given that o(c) = 0.
-1/2, -1/433
Factor -2/3*r**3 - 704/3 + 232*r - 56*r**2.
-2*(r - 2)**2*(r + 88)/3
Let g be 9 - 25/5 - 0/2. Let y be -2 - (-1)/(-1) - -7. Factor 43*f**3 - 135 - 3*f**3 - f**y + 90*f**2 + 6*f**g.
5*(f - 1)*(f + 3)**3
Let c(s) = -1017*s + 8142. Let h be c(8). Let d(o) be the third derivative of -1/80*o**h + 0*o**5 + 0*o**3 + 50*o**2 + 0 + 0*o + 1/16*o**4. Factor d(w).
-3*w*(w - 1)*(w + 1)/2
Let u(h) be the second derivative of h**5/150 - 53*h**4/90 + 82*h**3/15 - 96*h**2/5 + 777*h. Factor u(n).
2*(n - 48)*(n - 3)*(n - 2)/15
Let v(w) be the first derivative of 6*w**5/35 + 971*w**4/7 + 279072*w**3/7 + 29953152*w**2/7 - 40310784*w/7 + 2438. Suppose v(x) = 0. What is x?
-216, 2/3
Suppose u = 4*w + 17, -34 = 2*u - 6*u - w. Suppose 7*o - 5 = u. Suppose 6*j**2 + 9*j**o + 0*j**2 - 15*j**3 + 2*j - 6*j**4 - 9 + 13*j = 0. What is j?
-3, -1, 1/2, 1
Let v = 2808 - 19650/7. Let o be (-16)/3*54/(-252). Suppose v*s**2 - o - 2/7*s**3 + 0*s = 0. What is s?
-1, 2
Let l(i) be the first derivative of 19 - 85/6*i**2 - 5/18*i**3 - 1445/6*i. Suppose l(v) = 0. What is v?
-17
Let v(o) be the second derivative of 0 + 43/5*o**5 - 245*o**3 - 686*o**2 - 75*o + 28/3*o**4 + 1/21*o**7 - 6/5*o**6. Factor v(s).
2*(s - 7)**3*(s + 1)*(s + 2)
Suppose -249/4*d**3 - 1/4*d**4 + 0 + 249/4*d + 1/4*d**2 = 0. What is d?
-249, -1, 0, 1
Let q(n) be the third derivative of n**5/300 - n**4/20 - 3*n**2 - n + 25. Solve q(k) = 0.
0, 6
Let u(c) = 91*c**2 + 3275*c + 6501. Let a(s) = 145*s**2 + 4913*s + 9750. Let t(o) = -5*a(o) + 8*u(o). Factor t(y).
3*(y + 2)*(y + 543)
Suppose 0 = -3*y + y. Let f be 0/((2/8)/(1 + (-27)/36)). Factor 0 + y*z - 2/15*z**4 + f*z**2 - 8/15*z**3.
-2*z**3*(z + 4)/15
Let a(f) be the second derivative of -f**6/72 + 5*f**4/24 - 35*f**3/6 - 67*f. Let t(i) be the second derivative of a(i). Suppose t(q) = 0. Calculate q.
-1, 1
Let q(s) be the third derivative of 8*s**5/105 - 338*s**4/21 + 28561*s**3/21 + 631*s**2. Find h, given that q(h) = 0.
169/4
Let u(z) = z**3 - 15*z**2 - 14*z - 29. Let m be u(16). Suppose -v + 0*v + g = 2, -11 = m*v - 4*g. Factor -4/7*b**2 + 8/7*b + 16/7 - 2/7*b**v.
-2*(b - 2)*(b + 2)**2/7
Let v = 50469 - 151405/3. Factor v*u**2 - 16/3*u + 14/3.
2*(u - 7)*(u - 1)/3
Let z(v) be the third derivative of -v**5/30 - v**4/2 + 4*v**3/3 + 29*v**2. Let t(d) = -2*d**2 - 11*d + 10. Let o(c) = -4*t(c) + 5*z(c). Factor o(y).
-2*y*(y + 8)
Let x(n) be the third derivative of 19/60*n**5 - 1/120*n**6 + 0*n + 0 + 16/3*n**3 - 25/12*n**4 - 155*n**2. Find u, given that x(u) = 0.
1, 2, 16
Let j be (0 + 1)/((-5)/30). Let o be 171/63 + j/(-21). Factor 5/4*q**2 + 5/4*q**o - 25/4*q + 15/4.
5*(q - 1)**2*(q + 3)/4
Let d(c) be the third derivative of -c**5/210 - 30*c**4/7 - 10800*c**3/7 - 1379*c**2. Let d(x) = 0. What is x?
-180
Let k(m) = 11*m + 3. Suppose 6*q - 2 = 5*q. Let v be k(q). Factor 25*l**5 + 20*l**5 - 15*l**4 - 10*l**4 - v*l**5 + 5*l**3.
5*l**3*(l - 1)*(4*l - 1)
Let x(w) = w**2 - 229*w + 7710. Let v be x(188). Factor 0 + 5/3*q + 1/3*q**v.
q*(q + 5)/3
Let x(n) = -n**3 - 31*n**2 - 2*n - 7. Let p be x(-31). Solve -p*a**2 - 258*a**4 + 21*a**3 + 125*a**4 + 30*a + 9*a**3 + 128*a**4 = 0.
0, 1, 2, 3
Let b be (-266)/(70/5) - (-2814)/126. Let -b*k - 2/3*k**2 - 8/3 = 0. Calculate k.
-4, -1
Suppose 60*v**3 + 16*v**3 - 48*v**3 - v**4 + 84*v**3 + 63*v**3 + 176*v**2 = 0. Calculate v.
-1, 0, 176
Determine o, given that 15*o**3 - 13/3*o**2 - 8*o + 5*o**5 - 4/3 + 53/3*o**4 = 0.
-2, -1, -1/5, 2/3
Let i = 11064 + -11057. Let j(k) be the second derivative of 0*k**2 + 0*k**4 - 13*k - 2/7*k**i + 0 - 4/15*k**6 + 1/5*k**5 + 0*k**3. Factor j(o).
-4*o**3*(o + 1)*(3*o - 1)
Determine n, given that 0 - 45*n**2 + 27/2*n - 15/2*n**5 + 42*n**3 - 3*n**4 = 0.
-3, 0, 3/5, 1
Let w(j) be the second derivative of -5/72*j**4 + 0 - 90*j + 0*j**2 - 5/12*j**3. Suppose w(x) = 0. What is x?
-3, 0
Suppose 20*w + 29*w = -5831. Let b be 0*(-17)/w + 8/14. Factor -b + 0*k + 1/7*k**3 + 3/7*k**2.
(k - 1)*(k + 2)**2/7
Let s = 7188/5 + -43123/30. Let d(l) be the third derivative of 0*l + 1/3*l**3 + 0 + 18*l**2 - s*l**4 + 1/30*l**5. Let d(t) = 0. What is t?
1
Let m(d) be the second derivative of -d**7/840 - 7*d**6/240 + 9*d**5/20 - 6*d**4 + 23*d. Let c(q) be the third derivative of m(q). Factor c(j).
-3*(j - 2)*(j + 9)
Let j be 66/28 - 2490/6972. Let 0*f**j + 1/5*f**3 + 0*f + 0 = 0. Calculate f.
0
Let m(h) be the first derivative of 0*h - 1/18*h**6 + 6 + 0*h**3 - 1/6*h**2 + 1/6*h**4 + 0*h**5. Factor m(r).
-r*(r - 1)**2*(r + 1)**2/3
Let d(b) be the first derivative of b**5/20 + 7*b**4/2 + 98*b**3 + 1372*b**2 + 56*b - 2. Let c(a) be the first derivative of d(a). Factor c(q).
(q + 14)**3
Factor 4040/7*u + 2/7*u**2 + 2040200/7.
2*(u + 1010)**2/7
Let w(p) be the first derivative of -1/12*p**3 + 5/2*p**2 - 19/4*p - 311. Factor w(l).
-(l - 19)*(l - 1)/4
Suppose 110*t = -170*t + 375*t - 221*t + 252. Factor -7/5*j**t + 34/5 - 117/5*j.
-(j + 17)*(7*j - 2)/5
Let b(a) be the third derivative of 0*a**4 + 1/60*a**5 + 0*a + 1/360*a**6 - 25*a**2 - 1/210*a**7 - 1/1008*a**8 + 0*a**3 + 0. Determine m so that b(m) = 0.
-3, -1, 0, 1
Let z be (-10)/(1/5 + 12/(-10)). Suppose -z*h + 68 = 24*h. What is c in 0*c + 0 - 2/5*c**h = 0?
0
Let d(c) = c**2 - 8*c + 20. Let s be d(4). Find w such that 396*w**3 + 264 - 131 - 133 + 484*w**2 + s*w**5 - 84*w**4 = 0.
-1, 0, 11
Let i(b) be the first derivative of 5/12*b**4 + 0*b**3 - 5/6*b**2 + 63 + 0*b. Factor i(z).
5*z*(z - 1)*(z + 1)/3
Let z(s) = -2*s + 45. Let b be z(20). What is q in 105*q - 107*q**2 + 4*q**3 + 4*q**5 + 30*q**4 - 103*q**2 - b*q = 0?
-5, 0, 1/2, 2
Let q = -1438 + 1442. Let g(t) be the first derivative of 1 - 6/5*t + 4/15*t**q + 8/5*t**2 - 2/75*t**5 - 44/45*t**3. Factor g(p).
-2*(p - 3)**2*(p - 1)**2/15
Let h(g) be the third derivative of 7/15*g**5 + 37*g**2 + 1/30*g**6 