t t(j) = -j**3 + 4752*j**2 + 19119*j + 19200. Let x(z) = -11*c(z) + 4*t(z). Factor x(i).
-4*(i - 400)*(i + 2)**2
Let y(w) be the first derivative of 25*w**4/14 - 80*w**3/21 - 19*w**2/7 - 4*w/7 - 742. Suppose y(c) = 0. What is c?
-1/5, 2
Suppose 2*s = l - 18 + 6, 4*s = -5*l - 10. Suppose -5*d = -15*h + 11*h + 33, 3*h + 9 = -3*d. Factor 9 + u**l + u + h - 17.
(u - 2)*(u + 3)
Suppose -2750 = -5*w - 315. Suppose -3*r = -w - 1847. Suppose -788*k**4 + 6*k**3 + 5*k**5 - k**3 + r*k**4 = 0. What is k?
0, 1
Suppose 0 = -4*y + 54 + 190. Suppose 0*h**2 + h + y + 0*h**2 + h**2 - 81 = 0. What is h?
-5, 4
Let g(m) be the first derivative of 11*m**2 - 19*m + 0*m + 3*m - 2*m**3 - 98 + 4*m. Factor g(q).
-2*(q - 3)*(3*q - 2)
Let m(n) be the second derivative of -5*n**7/42 - 133*n**6/6 + 14133*n. Find u, given that m(u) = 0.
-133, 0
Let f(w) = 43*w + 2931. Let q be f(-68). Let m(d) be the second derivative of 0*d**3 - 20*d + 0*d**4 + 0*d**6 + 1/56*d**q + 0*d**2 + 0 - 3/80*d**5. Factor m(h).
3*h**3*(h - 1)*(h + 1)/4
Suppose 11*u = 2*m + 10*u + 1, 3*m = 12*u - 12. Factor 1/10 + m*x - 1/10*x**2.
-(x - 1)*(x + 1)/10
Factor 22*d**3 - 20*d**3 - d - 9*d + 8*d**2.
2*d*(d - 1)*(d + 5)
Let t be (-39)/91*-35 + -11. Let b(r) be the second derivative of -2*r**2 + 9*r - 1/3*r**t + 0 - 4/3*r**3. Factor b(c).
-4*(c + 1)**2
Let z(u) be the third derivative of -7/12*u**4 + 0*u + 18*u**2 + 4/15*u**5 + 2/3*u**3 - 1/20*u**6 + 0. Suppose z(h) = 0. Calculate h.
2/3, 1
Let c be -5 - -7*574/784. Let f(q) be the first derivative of 0*q**3 + 0*q + 17 + 0*q**5 - 1/8*q**4 + c*q**2 + 1/24*q**6. What is t in f(t) = 0?
-1, 0, 1
Let w(c) be the third derivative of c**7/945 + c**6/54 + 2*c**5/15 + 14*c**4/27 + 32*c**3/27 - 2*c**2 + 40*c. Factor w(x).
2*(x + 2)**3*(x + 4)/9
Suppose 0 = -356*v - 247*v - 1596*v - 299 + 4697. What is t in 12/17*t + 2/17*t**v - 14/17 = 0?
-7, 1
Let l(o) be the third derivative of 5/72*o**4 + 0 + 0*o**3 - 1/360*o**5 - o**2 - 67*o. Factor l(d).
-d*(d - 10)/6
Let p(b) be the first derivative of -23*b**4/15 + 8*b**3/15 + 157*b - 85. Let i(k) be the first derivative of p(k). Factor i(j).
-4*j*(23*j - 4)/5
Let v(u) be the second derivative of 1/8*u**4 + 16 - 15/2*u**2 + 3/4*u**3 - 3*u. Let v(l) = 0. What is l?
-5, 2
Let h(b) be the first derivative of 0*b - 36*b**3 - 97 - 13/2*b**4 - 8*b**2. Factor h(j).
-2*j*(j + 4)*(13*j + 2)
Suppose 503 = 111*v + 333*v - 829. Let i(t) be the second derivative of 0*t**2 + 0 + 1/70*t**5 + 0*t**4 + v*t + 0*t**6 + 0*t**3 - 1/147*t**7. Factor i(b).
-2*b**3*(b - 1)*(b + 1)/7
Let z(w) be the third derivative of 11*w**5/420 - 52*w**4/21 - 38*w**3/21 + 318*w**2. Factor z(k).
(k - 38)*(11*k + 2)/7
Let h(r) = 2*r**2 - 12*r + 15. Let s be h(5). Suppose 0 = 2*q + x - 4 - 2, -12 = 3*x. Determine i so that 40*i**2 - 11 + q - 39*i**2 - s*i = 0.
-1, 6
Suppose -4*j + 5*h + 15 = 0, 2*j - h - 4*h = 5. Let -57 + 59 + s**2 + 2*s**4 - j*s**2 = 0. What is s?
-1, 1
Let t = -97 - -102. Suppose 5*a = s + 1 + 2, 0 = -5*s + 5*a + t. Factor -13 - 100*q**s - 32*q**3 - 64*q + 4 - 4*q**4 - 11 + 28*q**2.
-4*(q + 1)**3*(q + 5)
Let y = 1896332/3 + -632097. Factor -1/3*d**2 + 14*d - y.
-(d - 41)*(d - 1)/3
Let h(o) be the second derivative of -o**7/504 + o**6/18 - 59*o**4/12 - o**3/6 - 148*o. Let m(y) be the third derivative of h(y). Find l such that m(l) = 0.
0, 8
Factor -140/3*r - 35/6*r**3 + 165*r**2 + 0.
-5*r*(r - 28)*(7*r - 2)/6
Let s(a) be the first derivative of -a**7/2100 - a**6/225 - a**5/75 + 253*a**3/3 + 259. Let h(o) be the third derivative of s(o). Factor h(z).
-2*z*(z + 2)**2/5
Suppose 9 + 7*j - 22/3*j**3 - 34/3*j**2 + 1/3*j**5 + 7/3*j**4 = 0. What is j?
-9, -1, 1, 3
Let z(l) be the first derivative of -l**3 - 15/7*l + 33/14*l**2 - 22 + 3/28*l**4. Let z(h) = 0. What is h?
1, 5
Let c be (-580)/(-348)*(-18)/(-75). Suppose -c*w - 2/15*w**5 - 4/3*w**2 + 0 - 8/5*w**3 - 4/5*w**4 = 0. Calculate w.
-3, -1, 0
Let m(t) be the first derivative of 38 + 70/3*t**3 - 70*t - 5/2*t**2 + 5/4*t**4. Factor m(f).
5*(f - 1)*(f + 1)*(f + 14)
Let q(f) be the third derivative of f**8/10080 - f**7/180 - f**6/24 + f**5/30 + 66*f**2. Let n(b) be the third derivative of q(b). Factor n(x).
2*(x - 15)*(x + 1)
Factor 95481/4 + 1/4*v**2 + 309/2*v.
(v + 309)**2/4
Solve -39*o**2 + 9*o**3 + 37 + 78*o - 3*o**3 + 35 + 48 - 3*o**3 = 0 for o.
-1, 4, 10
Let i(u) be the third derivative of 0*u**4 - 1/10*u**6 - 89*u**2 - 1/84*u**8 + 0*u + 2/35*u**7 + 0 + 1/15*u**5 + 0*u**3. Factor i(p).
-4*p**2*(p - 1)**3
Let f(d) be the third derivative of d**7/210 + 241*d**6/120 + 14399*d**5/60 - 14641*d**4/24 - 14*d**2 - 28*d. Let f(i) = 0. Calculate i.
-121, 0, 1
Suppose -5*c - 46 = -61. Find m such that 142*m**3 + m**2 - 10*m + 144*m**c + 8 - 285*m**3 = 0.
-4, 1, 2
Let v be 2 - 1/2 - (-1)/2. Factor -11*o**4 - v*o + 3*o**4 + 8*o**3 + 3*o**2 + 11*o**4.
o*(o + 1)*(o + 2)*(3*o - 1)
Let v(j) be the first derivative of -j**3/6 + 31*j**2/4 + 33*j - 2210. Factor v(n).
-(n - 33)*(n + 2)/2
Let m(p) be the first derivative of 3*p**2 + 0*p + 1/4*p**3 - 69. Let m(x) = 0. What is x?
-8, 0
Let j be (-12)/8*(-44)/(-1188)*-104. Let 0 - 4/9*v**3 + j*v + 16/3*v**2 = 0. What is v?
-1, 0, 13
Find m, given that 239*m + 5*m**3 - 143*m + 100*m**2 - m**3 - 64*m**2 + 59 + 5 = 0.
-4, -1
Suppose -1953*z = -2000*z + 141. Let i(c) be the second derivative of 1/12*c**2 + 1/24*c**4 - 1/120*c**5 + 0 + 5*c - 1/12*c**z. Factor i(d).
-(d - 1)**3/6
Let h(j) be the third derivative of j**5/160 + 13*j**4/64 + 3*j**3/4 - 2*j**2 - 510. Factor h(b).
3*(b + 1)*(b + 12)/8
Let v be 11 - (4466/84)/11*2. Let a be (3/(-2))/(-1)*2. Let 0 + v*y**5 + 28/3*y**2 + 12*y**a + 8/3*y + 20/3*y**4 = 0. What is y?
-2, -1, 0
Let m = -24147 + 24147. What is j in m*j + 0 + 2/9*j**3 + 2/3*j**2 = 0?
-3, 0
Let v(s) be the second derivative of -3*s**7/7 + 65*s**6 + 1321*s**5/5 + 1217*s**4/3 + 887*s**3/3 + 111*s**2 + 70*s - 9. What is h in v(h) = 0?
-1, -1/3, 111
Let f(y) be the third derivative of y**8/112 + 3*y**7/14 + 47*y**6/40 + 33*y**5/20 - 737*y**2. Let f(x) = 0. Calculate x.
-11, -3, -1, 0
Let x = 6 - 4. Let d be (-19)/(209/88) + 12. Factor d*f**2 - x + 0 + 2 + 4*f**3.
4*f**2*(f + 1)
Let f = 194 - 191. Solve -6 - f*x**2 + 16*x - 2*x**2 + 14*x + 6 = 0 for x.
0, 6
Let f(h) = h**3 + 36*h**2 + 69*h + 36. Let v be f(-34). Suppose -14*k**2 + 50*k**2 + 3*k + 7*k - 5*k - 26*k**v = 0. What is k?
-1/2, 0
Let q be (-245)/(-133) - 3/(-19). Suppose -16/5*r**q + 0 - 8/5*r - 2/5*r**4 - 2*r**3 = 0. What is r?
-2, -1, 0
Let j(o) be the first derivative of 2*o**3/3 - 55*o**2 + 474. Suppose j(z) = 0. Calculate z.
0, 55
Let m be -3*(-65)/156 + ((-51)/4)/17. Factor -2*w + m*w**2 + 3/2.
(w - 3)*(w - 1)/2
Let f(j) be the first derivative of j**5/210 - 10*j**4/21 + 400*j**3/21 + 22*j**2 + 25. Let n(z) be the second derivative of f(z). Let n(m) = 0. Calculate m.
20
Let v = 4031/2 + -2014. Let b(u) be the first derivative of -3/4*u**4 - v*u**2 + 0*u - 2*u**3 - 9. What is m in b(m) = 0?
-1, 0
Let t(u) be the second derivative of u**4/9 + 10*u**3/3 - 84*u**2 - 1159*u. Let t(d) = 0. What is d?
-21, 6
Suppose 23*w = 28*w - 26345. Factor -a**2 - 2595*a - 2606*a - 1156 + w*a.
-(a - 34)**2
Let n(h) be the first derivative of -h**9/756 - h**8/420 + h**7/105 + 2*h**3/3 + 31*h**2 + 27. Let c(q) be the third derivative of n(q). Factor c(v).
-4*v**3*(v - 1)*(v + 2)
Let c(t) be the third derivative of -t**6/120 + 5*t**5/12 - 23*t**4/12 - t**2 - 277. Factor c(b).
-b*(b - 23)*(b - 2)
Let o = -555698/7 + 79386. Factor -o - 2*g - 4/7*g**3 - 2*g**2.
-2*(g + 1)*(g + 2)*(2*g + 1)/7
Let t = -104 - -92. Let h be ((-8)/t*-3)/(-1). Factor h*d**3 + 33*d**3 - 10 - 33*d + 100*d**2 + 88*d.
5*(d + 1)*(d + 2)*(7*d - 1)
Let k(r) be the third derivative of -35*r**3 - 1/12*r**5 + 0 + 215/24*r**4 + 92*r**2 + 0*r. Solve k(n) = 0 for n.
1, 42
Factor 2/11*t**4 - 60/11*t**3 - 64/11*t + 0 - 126/11*t**2.
2*t*(t - 32)*(t + 1)**2/11
Let s = -261 + 261. Determine c, given that 263*c - 117*c + s*c**2 - 128*c + 2*c**2 = 0.
-9, 0
Let n(q) be the first derivative of q**6/135 + q**5/30 + q**4/18 + q**3/27 + 72*q - 31. Let j(w) be the first derivative of n(w). Solve j(p) = 0 for p.
-1, 0
Determine j so that 1548*j - 324 + 28*j**3 + 30*j**3 - 1068*j**2 + 113*j**3 - 16*j**4 + 199*j**3 - 126*j**3 = 0.
1/4, 3, 9
Let x(b) be the first derivative o