et f(h) = 14*h**2 - 18*h - 2. Suppose 4*m + 2 = -3*l, 4*l - 7*m = -5*m - 32. Let g(i) = 3*i**2 - i + 1. Let o(s) = l*g(s) + f(s). What is v in o(v) = 0?
-2, -1
Let t be -3 - (1 + 3 - (-42)/(-3)). Let 8*h + 8 + t - 6 + h**3 + 11*h**2 - 29 = 0. Calculate h.
-10, -2, 1
Let c(d) be the second derivative of -d**4/3 + 4264*d**3/3 + 4266*d**2 + d - 1451. Factor c(q).
-4*(q - 2133)*(q + 1)
Let n(r) be the third derivative of 1/200*r**6 + 1/50*r**5 + 0*r**3 + 0*r**4 + 0*r - 2*r**2 + 38. Factor n(c).
3*c**2*(c + 2)/5
Let z(p) be the third derivative of -p**7/1260 + 7*p**6/72 - 41*p**4/8 - 12*p**2 + 5. Let n(q) be the second derivative of z(q). Find d such that n(d) = 0.
0, 35
Let b(h) = -11*h + 12*h - 2 - 2. Let u be b(7). Factor -3*a**4 + 8*a**u + 9*a - 9*a - 2*a**3.
-3*a**3*(a - 2)
Let x(a) be the third derivative of -a**7/70 + 37*a**6/120 + 2*a**5/15 - 19*a**4/2 - 24*a**3 - 10*a**2 + 3*a. Determine p so that x(p) = 0.
-2, -2/3, 3, 12
Let g = -4151393/660 - -6290. Let v(b) be the third derivative of 0*b - 1/660*b**6 + g*b**5 - 1/132*b**4 - 19*b**2 + 0 - 1/22*b**3. Find d, given that v(d) = 0.
-1/2, 1, 3
Let b(j) be the first derivative of -j**5/210 - 2*j**4/21 - 5*j**3/7 - 5*j**2 - 17. Let i(k) be the second derivative of b(k). Factor i(d).
-2*(d + 3)*(d + 5)/7
Let o(l) be the first derivative of 0*l + 1/2*l**4 + 6*l**3 - 178 + 14*l**2. Factor o(y).
2*y*(y + 2)*(y + 7)
Let w(m) be the third derivative of -1/1680*m**8 - 24*m**2 + 0*m + 3/175*m**7 + 18/25*m**5 + 0*m**4 + 0*m**3 - 9/50*m**6 + 0. Let w(a) = 0. What is a?
0, 6
Let q = -4691 - -18765/4. Let l(x) be the first derivative of 0*x + 6 + 1/3*x**3 - x**2 + q*x**4. Factor l(c).
c*(c - 1)*(c + 2)
Let x(r) = r**3 + 131*r**2 - 129*r - 256. Let t(h) = 5*h**2 - 2. Let l(i) = -5*t(i) + 5*x(i). Factor l(m).
5*(m - 2)*(m + 1)*(m + 127)
Suppose -v - 2*w - 4 = 0, -5*v + 32 = 3*w - 6*w. Suppose 5*z - 5*f - 20 = z, -v*z = -4*f - 16. Factor 2 + 10*b - 6*b + z*b - b**2 - 6.
-(b - 2)**2
Let w(u) be the third derivative of -u**2 + 1/420*u**7 - 7/120*u**5 - 3 + 1/120*u**6 + 0*u**3 + 1/12*u**4 + 0*u. Factor w(g).
g*(g - 1)**2*(g + 4)/2
Let n(y) = 19*y + 686. Suppose 767 = -18*z + 119. Let u be n(z). Determine w so that 15*w**3 + 350/3*w**u - 160/3 + 640/3*w = 0.
-4, 2/9
Let j be 14789/2737 + 18/(-153) + -5. Factor 1/7*w**5 + 1/7*w**3 + 0*w**2 - j*w**4 + 0*w + 0.
w**3*(w - 1)**2/7
Suppose 0 = 46*z + 16*z - 1178. Let b(t) be the second derivative of 0 - 1/85*t**5 + 3/34*t**4 - 10/51*t**3 - z*t + 3/17*t**2. Suppose b(a) = 0. What is a?
1/2, 1, 3
Let s(o) be the third derivative of -o**5/110 + 109*o**4/11 - 47524*o**3/11 + 17*o**2 - 13. Suppose s(i) = 0. What is i?
218
Factor -1248/5*k**2 - 722/5*k**4 + 0 - 3192/5*k**3 - 128/5*k.
-2*k*(k + 4)*(19*k + 4)**2/5
Suppose -236*x - 3 - 5*x**2 - 78 + 21*x - 151 + 22 = 0. Calculate x.
-42, -1
Let f be (-24 + 31)*6/2. Suppose -5*l + 235 = -0. Factor l*j**2 + 4*j**4 - 9*j**3 + j**4 + 20 + 18*j**2 - f*j**3 - 60*j.
5*(j - 2)**2*(j - 1)**2
Let w be 1*9/((-945)/(-30)). Factor w*s - 2/7*s**2 + 4/7.
-2*(s - 2)*(s + 1)/7
Let f(a) = 7*a - 369. Let s be f(55). Let h be ((-6)/s)/((-22)/((-704)/(-48))). Determine t so that -h*t**2 + 1/2*t - 1/4*t**3 + 0 = 0.
-2, 0, 1
Let n(m) = 12*m**2 + 532*m + 2512. Let k(v) = 16*v**2 + 708*v + 3349. Let z(f) = -8*k(f) + 11*n(f). Suppose z(y) = 0. Calculate y.
-42, -5
Let h = 222515/2 - 1557251/14. Let 0 - h*n + 3/7*n**2 = 0. What is n?
0, 59
Factor 160 + 15*s - 4*s + 64*s + 25*s - 52*s + 2*s**2.
2*(s + 4)*(s + 20)
Let q(g) be the first derivative of 1/2340*g**6 + 0*g + 2/195*g**5 - 4 + 4/39*g**4 - g**3 + 0*g**2. Let n(w) be the third derivative of q(w). Factor n(h).
2*(h + 4)**2/13
Let m(g) = -2*g**3 - 490*g**2 - 29744*g. Let o(h) = 10*h**3 + 2451*h**2 + 148708*h. Let a(p) = 22*m(p) + 4*o(p). Determine y, given that a(y) = 0.
-122, 0
Let p(g) be the second derivative of g**7/210 + g**6/75 - 29*g**5/100 - g**4/2 - 88*g - 4. Find h such that p(h) = 0.
-6, -1, 0, 5
Let q(o) be the first derivative of 0*o - 58 + 0*o**2 - 1/2*o**4 - 14*o**3. Suppose q(b) = 0. Calculate b.
-21, 0
Let 234*b + 2782415*b**3 - 2782355*b**3 + b**4 - 291*b**2 - 4*b**4 = 0. Calculate b.
0, 1, 6, 13
Let x(q) be the first derivative of -q**5/480 + q**4/64 + 5*q**2/2 - 2*q - 16. Let c(h) be the second derivative of x(h). Suppose c(v) = 0. Calculate v.
0, 3
Let h(p) be the third derivative of 0 + 0*p**3 + 0*p + 0*p**4 + 72*p**2 + 0*p**5 + 1/240*p**6 - 1/840*p**7. Factor h(x).
-x**3*(x - 2)/4
Suppose -1215 + 3/7*h**4 - 8424/7*h - 288/7*h**3 - 2754/7*h**2 = 0. What is h?
-3, 105
Let m(y) = -157*y + 31. Let w be m(-1). Factor 12 + 3*z**2 - w*z + 3*z**3 + 176*z - 6*z**2.
3*(z - 2)*(z - 1)*(z + 2)
Let i(v) be the third derivative of v**6/240 - 11*v**5/60 + 37*v**4/16 - 15*v**3/2 - 56*v**2 - 48*v. Let i(d) = 0. Calculate d.
1, 6, 15
Factor 914/9*f**2 + 2/9*f**4 - 76/9*f**3 + 512 - 1216/3*f.
2*(f - 16)**2*(f - 3)**2/9
Let r be 5*(-12)/(-450) - 6762/90. Let q be (r/(-270))/(40/32). Suppose 0 - 8/9*g - q*g**2 = 0. Calculate g.
-4, 0
Let b(c) be the third derivative of -c**6/840 - c**5/14 - 25*c**4/14 + 23*c**3/2 - 14*c**2. Let v(k) be the first derivative of b(k). Factor v(i).
-3*(i + 10)**2/7
Suppose 2*p = o - 15, 7*o = 2*o + 5*p + 50. Find h such that 1207*h**2 + 2*h**5 - h**o + 14*h**4 - 1215*h**2 - h**3 - 6*h**4 = 0.
-8, -1, 0, 1
Let q(z) be the third derivative of z**7/630 + z**6/120 + z**5/60 + z**4/72 + 242*z**2 + 2*z. Let q(b) = 0. Calculate b.
-1, 0
Let p be -10 + 1 + (42 - 90). Let n be 1 - p/255 - (-22)/(-55). Let 10/17*j**4 - 16/17*j + n*j**3 + 2/17*j**5 - 8/17 - 2/17*j**2 = 0. Calculate j.
-2, -1, 1
Suppose 0 = -6*k + 31 + 5. Suppose 2 = 2*z - 2, 2*s = 5*z - k. Factor -2/9 + 2/9*i + 4/9*i**s.
2*(i + 1)*(2*i - 1)/9
Let w(c) be the first derivative of -c**6/42 + 6*c**5/7 + 13*c**4 + 66*c**3 + 2133*c**2/14 + 1080*c/7 + 1095. Find v, given that w(v) = 0.
-3, -1, 40
Let o(j) = j**3 - 63*j**2 + 48*j + 42. Let n be o(62). Let r = n + 826. Factor 1/5*w**4 + r + 0*w - w**3 + 4/5*w**2.
w**2*(w - 4)*(w - 1)/5
Let b(z) be the second derivative of -z**6/1080 + z**5/90 - z**4/24 - 17*z**3/2 - 62*z. Let j(y) be the second derivative of b(y). Find q such that j(q) = 0.
1, 3
Let r be (1*(-294)/28)/(1 + (-10)/4). Let f(n) be the third derivative of 0*n**4 + 0*n**3 + 0*n**5 + 0*n + 1/42*n**r - 1/24*n**6 - 13*n**2 + 0. Factor f(p).
5*p**3*(p - 1)
Let n(g) be the third derivative of g**6/280 - g**5/140 - 5*g**4/7 + 8*g**3 + 2192*g**2. Let n(c) = 0. Calculate c.
-7, 4
Let s = 6997/19272 + 1/1752. Factor 2/11*a**2 - s*a - 6/11.
2*(a - 3)*(a + 1)/11
Let m = 79/258 + -6/43. Let h(v) be the second derivative of 1/4*v**4 + 0 - v**2 + 1/20*v**5 - 1/30*v**6 - 18*v - m*v**3. Let h(n) = 0. What is n?
-1, 1, 2
Let z(c) = 2*c**2 + 21*c - 27. Let o be z(-12). Factor 34*n**2 + 4*n**3 - 5*n + 21*n**2 - o*n.
n*(n + 14)*(4*n - 1)
Let o(s) be the third derivative of s**5/20 + 31*s**4/8 + 92*s**3 + 1132*s**2. Find q such that o(q) = 0.
-23, -8
Let v be (-2)/11 - 1939/(-77). Let c = v + -21. Factor c*s**3 - 3 - 22*s + 52*s + 15*s**2 - 22*s.
(s + 1)*(s + 3)*(4*s - 1)
Let a(q) be the third derivative of q**5/80 - 49*q**4/32 - 25*q**3/4 - 540*q**2 - 2*q. Factor a(x).
3*(x - 50)*(x + 1)/4
Let d(c) be the first derivative of c**8/1680 - c**7/840 - c**6/72 - c**5/40 + 19*c**3 + c**2/2 - 81. Let b(p) be the third derivative of d(p). Factor b(k).
k*(k - 3)*(k + 1)**2
Suppose -66 = -2*i - 5*j, 2*j = 3*i - 87 - 12. Suppose -5*p + 88 = i. Factor 19*a**3 - 8*a**3 + a**4 - p*a**3 - a**2.
a**2*(a - 1)*(a + 1)
Let d = -114482 + 343447/3. What is u in 0 - 1/6*u**2 - d*u = 0?
-2, 0
Let l(o) be the second derivative of o**5/20 - 7*o**4/6 + 11*o**3/6 + 13*o**2 + o + 230. Find n, given that l(n) = 0.
-1, 2, 13
Suppose -81/2*s**2 - 3/2*s**3 - 192 + 234*s = 0. What is s?
-32, 1, 4
Let x(r) be the second derivative of -r**5/150 + r**4/3 - 83*r**3/45 + 18*r**2/5 + 378*r. Factor x(k).
-2*(k - 27)*(k - 2)*(k - 1)/15
Factor -19*h + 110*h + 199 - 643 - 2*h**2 + 40*h + 95*h.
-2*(h - 111)*(h - 2)
Let y(s) be the third derivative of -s**8/2688 - s**7/24 - 431*s**6/320 - 119*s**5/24 - 289*s**4/48 + 8*s**2 - 11*s. Factor y(p).
-p*(p + 1)**2*(p + 34)**2/8
Let y be (448/(-320))/(21/(-30)). What is c in 24/7*c**y + 44/7*c + 4/7*c**3 + 24/7 = 0?
-3, -2, -1