erivative of 1/1260*n**6 - 4 + 0*n - 5/252*n**4 + 2/315*n**5 + 0*n**3 + n**2. Let h(q) = 0. What is q?
-5, 0, 1
Let q(v) = -13*v**4 - 2*v**3 - 121*v**2 + 517*v - 566. Let t(a) = -18*a**4 - 3*a**3 - 181*a**2 + 775*a - 850. Let m(l) = -7*q(l) + 5*t(l). Factor m(c).
(c - 4)**2*(c - 2)*(c + 9)
Let m be (-5325)/142*((-341)/66 + 7 + -2). Factor -5*j**2 + m*j**3 + 0 + j.
j*(5*j - 2)**2/4
Let j be ((-6)/5)/((-30)/100). Suppose -13*o + j = -22. Factor 4/3*f - 2/3*f**o + 8/3 - 1/3*f**3.
-(f - 2)*(f + 2)**2/3
Let x = 918 + -918. Let c be (x/5)/(-9)*1. Factor -1/2*y**4 + c + 125/2*y + 15/2*y**3 - 75/2*y**2.
-y*(y - 5)**3/2
What is h in -153/5*h - 39*h**2 + 3/5*h**4 + 0 - 39/5*h**3 = 0?
-3, -1, 0, 17
Let o = 2526/403 - 21928/3627. Find a, given that -o*a**3 - 154/9*a + 484/9 - 40/9*a**2 = 0.
-11, 2
Let j(h) = -16*h**3 + 92*h**2 - 128*h + 28. Let r(y) = y**3 - y**2 + 2*y + 1. Let t(g) = j(g) + 8*r(g). Suppose t(x) = 0. What is x?
1/2, 1, 9
Let d(c) = 2*c**2 + 2*c + 3. Let i(m) = 19*m**2 - 698*m + 1455. Let r(b) = 9*d(b) - i(b). Suppose r(g) = 0. Calculate g.
2, 714
Let r(q) be the second derivative of q**5/150 - q**4/30 - 16*q**3/45 - 4*q**2/5 - 2280*q. Let r(o) = 0. What is o?
-2, -1, 6
Let k(h) = -2*h**3 + 29*h**2 - 15*h + 20. Let i be k(14). Let o(c) = c**2 - 3*c - 14. Let z be o(i). Let -7*j**2 + 10*j - 1 + 2 - z = 0. Calculate j.
3/7, 1
Factor 1/2*y**5 + 15/2*y**2 + 9*y + 0 - 7/2*y**3 - 3/2*y**4.
y*(y - 3)**2*(y + 1)*(y + 2)/2
Let m(v) = 39*v**3 + 3408*v**2 + 64314*v - 315927. Let a(q) = 3*q**3 + 262*q**2 + 4949*q - 24302. Let d(w) = -27*a(w) + 2*m(w). Factor d(f).
-3*(f - 4)*(f + 45)**2
Suppose 528 + 2*r**2 - 47*r + 72*r + 133*r - 340*r = 0. What is r?
3, 88
Let q be (-1 + 3)/(1/2). Let f = -314 - -369. Let f*z**2 - z**q - 114*z**2 - 3*z**5 + 60*z**2 + 3*z**3 = 0. What is z?
-1, -1/3, 0, 1
Let k = -51 + 53. Find s, given that -84*s**3 - 101 + 272*s**3 - 1675*s**5 + 1679*s**5 - 192*s - 155 + 48*s**4 + 208*s**k = 0.
-4, -1, 1
Let f(b) be the second derivative of -b**4/114 - 226*b**3/19 - 114921*b**2/19 + 54*b - 18. Factor f(p).
-2*(p + 339)**2/19
Let o(m) = 16*m**5 + 16*m**4 + 37*m**3 + 55*m**2 + 11*m. Let q(r) = -9*r**5 - 8*r**4 - 18*r**3 - 28*r**2 - 5*r. Let c(u) = -4*o(u) - 7*q(u). Factor c(f).
-f*(f + 1)**2*(f + 3)**2
Suppose 0 = -140*l + 34*l - 13356. Let j be 12/l*(-36 + -13). Find q, given that -2/3*q - 49/6*q**3 + 0 - j*q**2 = 0.
-2/7, 0
Let g(k) be the second derivative of k**7/280 - k**6/60 - k**5/5 + 7*k**3/6 + 3*k**2 - 64*k. Let q(z) be the second derivative of g(z). Factor q(b).
3*b*(b - 4)*(b + 2)
Suppose -5*c - 1119 = 3*a, 186 = -a - 4*c - 180. Let k be 6/(-35)*1260/a. Solve 2/7 + k*j + 2/7*j**2 = 0.
-1
Let b = 5186 + -3609. Let s = b + -17345/11. Factor -s*t**2 + 1/11 + 12/11*t**3 + 9/11*t**4 - 4/11*t.
(t + 1)**2*(3*t - 1)**2/11
Factor -10032*q - 4656*q**2 - 600*q**3 + 42*q**4 - 34656/5 - 3/5*q**5.
-3*(q - 38)**2*(q + 2)**3/5
Let v(w) be the first derivative of 2*w**3/3 - 1016*w**2/3 + 1352*w/3 - 322. Suppose v(n) = 0. What is n?
2/3, 338
Let m(z) be the first derivative of -z**6/6 - 752*z**5/5 + 1509*z**4/2 - 4532*z**3/3 + 3023*z**2/2 - 756*z - 8022. Factor m(k).
-(k - 1)**4*(k + 756)
Let p(h) be the first derivative of h**5/3 + 15*h**4/2 + 400*h**3/9 + 80*h**2 + 932. Determine k, given that p(k) = 0.
-12, -4, -2, 0
Let i(l) = -31*l - 362. Let d be i(-12). Suppose d*k - 5*k + m - 12 = 0, 0 = -m + 2. Factor -1620*g**k - 1215*g**3 - 720*g - 320/3.
-5*(9*g + 4)**3/3
Suppose 8976/7*r**2 + 0 - 4/7*r**3 + 8980/7*r = 0. What is r?
-1, 0, 2245
Let v(m) be the first derivative of m**3/15 - 47*m**2/10 - 98*m/5 + 3798. Factor v(f).
(f - 49)*(f + 2)/5
Factor 280*i**2 - 2298404 + 2298403 + 2*i**2 - 91*i.
(3*i - 1)*(94*i + 1)
Let j(k) be the third derivative of k**5/15 - 11*k**4 + 256*k**3/3 - 6*k**2 - 41. What is d in j(d) = 0?
2, 64
Suppose 3*w - 2*w = 2. Let m be (1/w)/(3/18). Factor -3*v**3 - 2*v**m + 20*v**5 + 24*v**4 - 13*v**4 - 26*v**4.
5*v**3*(v - 1)*(4*v + 1)
Let q(r) be the second derivative of 0 + 28*r + 41/21*r**4 - 72/7*r**2 + 76/7*r**3 + 1/10*r**5. Determine g, given that q(g) = 0.
-6, 2/7
Let b(q) be the second derivative of -q**5/120 - q**4/24 + q**3/9 + 1138*q. Determine o so that b(o) = 0.
-4, 0, 1
Let z = 7469 - 37344/5. Let w(n) be the second derivative of 0 + 16*n + 100*n**2 + z*n**5 + 4*n**4 + 30*n**3. Find q such that w(q) = 0.
-5, -2
Let u(n) = -15*n - 11. Let b be (6/(-4))/(27/72). Let q be u(b). Factor -2*p**5 + 7*p**5 + q*p - 49*p + 5*p**4.
5*p**4*(p + 1)
Suppose -18*m + 140 = 17*m. Find f, given that 21*f**m - 7*f**4 + 10500*f**3 - 8*f + 40*f**2 - 10546*f**3 = 0.
0, 2/7, 1, 2
Suppose 124 = 3*k + 8*s - 13*s, 4*k + 2*s = 122. Suppose 3 = -6*r + k. Factor 2/3*b**2 + 0*b + 1/3*b**r + 0 - 1/3*b**3 - 2/3*b**4.
b**2*(b - 2)*(b - 1)*(b + 1)/3
Let o(k) be the second derivative of k**7/1050 + k**6/120 + k**5/100 - 3*k**4/40 + 167*k**2/2 + 129*k. Let b(d) be the first derivative of o(d). Factor b(c).
c*(c - 1)*(c + 3)**2/5
Let g be (-68)/(-360) + (-198)/660 + (-84)/(-27). Let -27/8*t + 9/4*t**2 + 3/2 - 3/8*t**g = 0. Calculate t.
1, 4
Let f be (8 + -2)/(2*(-4)/(-12)). Suppose -4*w - 5*t + f = -6*t, 4*w + t - 7 = 0. Factor -c**2 + 4*c**5 - 10*c**2 + 8*c**4 + c**2 - 4*c**3 + w*c**2.
4*c**2*(c - 1)*(c + 1)*(c + 2)
Let d = 3695 - 3668. Let m(o) be the second derivative of 1/6*o**4 + o**3 + 0 - 4*o**2 + d*o. Factor m(j).
2*(j - 1)*(j + 4)
Let w = 7383/20 - 369. Let y(s) be the first derivative of 3/5*s + 8 + 3/10*s**2 - 1/5*s**3 - w*s**4. Let y(h) = 0. What is h?
-1, 1
Let -63*s - 3/4*s**2 - 249/4 = 0. Calculate s.
-83, -1
Let y(v) = v**2 + v + 1. Suppose 21*l + 11 = 32. Let s(o) = -12*o**2 - 12*o - 51. Let m(h) = l*s(h) + 15*y(h). Factor m(f).
3*(f - 3)*(f + 4)
Let z(q) be the second derivative of -q**6/75 + 8*q**5/25 + 17*q**4/6 - 20*q**3/3 - 697*q. What is f in z(f) = 0?
-5, 0, 1, 20
Let j(p) = -121*p - 23591. Let f be j(-195). Let -2/3*c**f - 2*c**3 + 4/3*c**2 + 8*c + 16/3 = 0. What is c?
-2, -1, 2
Let z(r) = r**3 + 18*r**2 - 10*r - 34. Let i be z(-18). What is l in 5*l + 156 - 8*l**2 + 3*l**2 - i = 0?
-1, 2
Factor -208 + 3368*j**3 - 1686*j**3 + 64*j**2 - 140*j - 1686*j**3.
-4*(j - 13)*(j - 4)*(j + 1)
Determine t, given that 24*t**2 + 2*t**3 + 5*t**4 + 193 + 8*t - 189 - t**4 + 14*t**3 + 8*t = 0.
-1
Let i(b) be the second derivative of b**6/30 + 33*b**5/2 + 3025*b**4 + 665500*b**3/3 - 106*b - 3. Factor i(j).
j*(j + 110)**3
Factor -543*c**2 - 55*c**4 - 470*c**3 + 997*c**2 - 694*c**2.
-5*c**2*(c + 8)*(11*c + 6)
Let i be -1 + -2 + (9 - 1). Let k = 14452 - 14449. Let 22/5*q**4 - 2*q**k + 0 - 6/5*q**2 + 0*q - 6/5*q**i = 0. Calculate q.
-1/3, 0, 1, 3
Suppose -1/4*g**3 - 31/4*g**2 - 117/2*g - 126 = 0. Calculate g.
-21, -6, -4
Suppose 501*f - 462*f = 156. Let v(c) be the second derivative of -1/60*c**f + 0*c**2 + 0*c**3 + 0 + 20*c. Factor v(t).
-t**2/5
Factor -4/3*k**4 - 16/3*k**3 + 4*k**2 + 24*k + 0.
-4*k*(k - 2)*(k + 3)**2/3
Let x(v) = 244 - 63 - 15*v + 93. Let a be x(18). Find b, given that -9/4*b**2 + 9/2*b**3 + 0 - 3*b**a + 3/8*b = 0.
0, 1/2
Let b(x) = x**3 - 3*x**2 + 295*x + 612. Let g be b(-2). Factor 1/8*t**3 + 7/4*t**g + 0 + 3*t.
t*(t + 2)*(t + 12)/8
Factor 1/3*j**4 + 336*j**2 + 1006/3*j + 335/3 + 338/3*j**3.
(j + 1)**3*(j + 335)/3
Let k(p) be the second derivative of -p**4/24 + 41*p**3/6 + 83*p**2/4 + 437*p. Factor k(o).
-(o - 83)*(o + 1)/2
Factor -1/5*z**4 - 18/5*z**3 + 167/5*z**2 - 216/5*z - 80.
-(z - 4)**2*(z + 1)*(z + 25)/5
Let b(n) be the second derivative of -69*n - 1/2*n**3 + 5*n**2 + 0 - 1/12*n**4. Factor b(o).
-(o - 2)*(o + 5)
Let g(l) be the second derivative of -l**5/30 + 7*l**4/3 - 196*l**3/3 + 119*l**2 - 16*l. Let q(a) be the first derivative of g(a). Determine k so that q(k) = 0.
14
Let y(n) be the second derivative of n**4/24 + 7*n**3/4 + 19*n**2/2 + 37*n - 26. Factor y(q).
(q + 2)*(q + 19)/2
Suppose s - 22 = 5*s + 22*j - 24*j, -95 = -5*j. Factor -82/11*b + 2/11*b**s - 28/11 - 2*b**3 - 78/11*b**2.
2*(b - 14)*(b + 1)**3/11
Let o(n) = 10*n**2 - 6. Let b(f) = -29*f**2 + 17. Let x = -153 + 222. Suppose -4*h = -45 + x. Let y(k) = h*b(k) - 17*o(k). Factor y(p).
4*p**2
Let l(p) = 5*p - 2. Let q be l(1). Factor -90 - 132*a - 24*a**2 - 97 + 3*a**q + 43.
3*(a - 12)*(a + 2)**2
Factor -127845*b - b**3 - 157*b**2 + 63982*b + 63