 Factor n(f).
2*(f - 1)*(f + 1)**2*(f + 9)
Let q(n) be the third derivative of -n**7/105 - 2*n**6/15 + 11*n**5/30 + 3*n**4/2 + 2*n**2 - 380*n. Factor q(p).
-2*p*(p - 2)*(p + 1)*(p + 9)
Let b be (3/4)/((-5)/(-360)). Let w(i) = i**3 + 9*i**2 - i - 6. Let a be w(-9). Suppose 2/3*j**a + b - 34/3*j**2 + 42*j = 0. Calculate j.
-1, 9
Let n(f) be the first derivative of -f**4/8 + 7*f**3/3 + 15*f**2/4 + 1557. What is u in n(u) = 0?
-1, 0, 15
Let d(s) = s**2 - 25*s - 28. Let b be d(26). Let p(c) = -c**3 - c**2 + 11*c + 20. Let w be p(b). Factor -6/5*h + 2/5*h**w + 4/5.
2*(h - 2)*(h - 1)/5
Let u(x) be the second derivative of 1/4*x**5 - 395/12*x**4 - 7605/2*x**2 + 2665/2*x**3 + 25 - x. Find l such that u(l) = 0.
1, 39
Suppose 9 = 3*c - 6*g + g, 0 = -4*c - g + 12. Let f(h) be the second derivative of -38*h - 1/3*h**c - 2*h**2 + 0 + 1/6*h**4. Factor f(j).
2*(j - 2)*(j + 1)
Let r(w) be the second derivative of w**4/6 - w**3/3 - 61*w**2/2 + w + 159. Let k(f) = -2*f**2 + 4*f + 62. Let h(l) = -3*k(l) - 2*r(l). Factor h(z).
2*(z - 8)*(z + 4)
Let v(z) be the second derivative of -z**6/2 - 28*z**5/15 - 11*z**4/6 + 4*z**3/3 - 11*z**2 + 3*z + 2. Let p(t) be the first derivative of v(t). Factor p(d).
-4*(d + 1)**2*(15*d - 2)
Let z(f) be the second derivative of f**5/70 + 85*f**4 + 202300*f**3 + 240737000*f**2 + 2578*f. Let z(s) = 0. Calculate s.
-1190
Suppose 3981*c = 3980*c + 3. Let f(q) be the third derivative of -49/36*q**c + 0 + 0*q + 7/72*q**4 - 1/360*q**5 + 12*q**2. Factor f(d).
-(d - 7)**2/6
Let j be (-3)/(-84) + (-188)/(-752). Determine i so that -j*i**3 + 0 + 3/7*i + 1/7*i**2 = 0.
-1, 0, 3/2
Let r(l) = -3*l**3 + 62*l**2 + 20*l + 45. Let t be r(21). Suppose -632*f + 626*f + t = 0. Suppose 1/3*p**4 + 8/3*p + f*p**2 + 0 + 2*p**3 = 0. Calculate p.
-2, 0
Let v = -24 + 30. Factor -p**5 + 0*p**3 + 7*p**3 + 13*p**2 - p**4 - v*p + 12*p.
-p*(p - 3)*(p + 1)**2*(p + 2)
Let f(t) be the second derivative of t**5/100 + t**4/15 + 2*t**3/15 - 137*t + 3. Find i such that f(i) = 0.
-2, 0
Factor -5*i**3 - 3 + 2*i**3 - 2*i**3 - 105*i**2 + 14*i - 209*i - 92.
-5*(i + 1)**2*(i + 19)
Let b(q) be the second derivative of -q**4/3 + 70*q**3/3 - 68*q**2 - 1119*q. Factor b(v).
-4*(v - 34)*(v - 1)
Let a(o) = -5*o**4 + 62*o**3 - 85*o**2 - 31*o. Let u(f) = -2*f**4 + 21*f**3 - 28*f**2 - 10*f. Let k(g) = -2*a(g) + 7*u(g). Suppose k(w) = 0. What is w?
-1/4, 0, 2, 4
Let d = -21/223 + 328/1115. Let m(k) = -k**2 + 5*k - 4. Let t be m(4). Determine x so that 0*x - 1/5*x**2 + d*x**3 + t = 0.
0, 1
Let a(f) be the second derivative of -2 - 5/2*f**2 + 1/2*f**4 + 1/5*f**5 - 2/3*f**3 + 22*f - 1/30*f**6. Find l, given that a(l) = 0.
-1, 1, 5
Let a(z) be the second derivative of -z**5/30 + 35*z**4/18 - 86*z**3/9 - 320*z**2/3 + 4*z - 173. Factor a(u).
-2*(u - 32)*(u - 5)*(u + 2)/3
Let d(h) be the first derivative of -h**3/3 + 17*h**2 - 43*h + 31. Let t(v) = 4*v**2 - 172*v + 216. Let a(j) = -24*d(j) - 5*t(j). What is f in a(f) = 0?
-12, 1
Suppose -3*z - 4*g + 73 = -20, -3*z - 5*g = -96. Let 66*m**2 + 101*m**2 - 2*m**3 - z*m**2 + 100*m + 46*m**3 + 4*m**4 = 0. What is m?
-5, -1, 0
Let a(z) be the second derivative of -z**6/840 - z**5/40 - 3*z**4/28 - 55*z**3/2 - 27*z + 2. Let w(b) be the second derivative of a(b). Factor w(x).
-3*(x + 1)*(x + 6)/7
Let q be (-5)/1 + (-49)/(-7). Suppose q*p - 12*p = -150. Factor -17 - 9*z**2 + 7 + p*z + 4*z**2.
-5*(z - 2)*(z - 1)
Let n(f) = 4*f**3 + f**2 + f. Let v be n(2). Factor -26*x**2 - 4*x**3 - v*x**2 + 84*x**2 - 16*x.
-4*x*(x - 4)*(x - 1)
Let v(k) be the third derivative of k**7/70 - 17*k**6/10 + 121*k**5/4 - 725*k**4/4 - 4*k**2 - 2*k - 24. Factor v(u).
3*u*(u - 58)*(u - 5)**2
Let b(m) be the third derivative of -2/5*m**5 + 0 + 13/8*m**4 - 21*m - 3*m**3 + 2*m**2 + 1/40*m**6. Factor b(y).
3*(y - 6)*(y - 1)**2
Let i(h) = -310*h - 22010. Let r be i(-71). Factor 2/15*c**2 + 2/15*c**4 + 0*c + r - 4/15*c**3.
2*c**2*(c - 1)**2/15
Let t(q) be the first derivative of -q**4/6 + q**3 - 2*q**2 - 94*q - 27. Let z(y) be the first derivative of t(y). What is m in z(m) = 0?
1, 2
Let m(z) be the second derivative of 0*z**2 + 1/4*z**5 + 5/3*z**4 - 11*z + 10/3*z**3 + 1. Factor m(u).
5*u*(u + 2)**2
Let o(z) be the second derivative of -3*z**5/40 - 3*z**4 + z**3/4 + 18*z**2 - 919*z. Let o(p) = 0. Calculate p.
-24, -1, 1
Let t(p) be the first derivative of 11 + p**5 - 5/2*p**4 + 15*p - 20/3*p**3 + 5*p**2. Factor t(q).
5*(q - 3)*(q - 1)*(q + 1)**2
Suppose -3*r + 8*r = 0. Let l = -226295/3 - -75432. Let r*k + 0 - l*k**4 - 2/3*k**3 - 1/3*k**2 = 0. Calculate k.
-1, 0
Let d be (-16980)/(-8) + 4 + (-15)/(-10). Factor d + 1530 + f**2 + 130*f + 567.
(f + 65)**2
Factor z**3 - 1124*z**2 - 76387*z + 22223*z + 190394*z + 179614*z.
z*(z - 562)**2
Suppose -215 - 42*s**3 + 36*s**3 + s**3 - 225*s**2 - 435*s = 0. Calculate s.
-43, -1
Let p(c) be the second derivative of -c**6/20 - 3*c**5/4 - 17*c**4/8 + 13*c**3 + 45*c**2 + 4496*c + 1. Let p(v) = 0. Calculate v.
-6, -5, -1, 2
Suppose 7*i = -g + 4*i + 12, 0 = -5*g - 2*i + 21. Let t(d) = 2*d**2 + d + 1. Let k(p) = -9*p**2 + 6*p - 3. Let y(f) = g*t(f) + k(f). Factor y(w).
-3*w*(w - 3)
Suppose 3*v - 5*c - 10 = 0, -10*c + 5*c = -4*v + 10. Let n(j) be the third derivative of -14*j**2 - 1/2*j**4 + v*j - 1/15*j**5 + 8/3*j**3 + 0. Factor n(k).
-4*(k - 1)*(k + 4)
Let y be 126/27 - (-4)/(-6). Determine o so that -1130*o**y - 9*o**2 - 5*o - 3*o**3 + 2*o + 6*o**5 + 1139*o**4 = 0.
-1, -1/2, 0, 1
Let a(n) be the first derivative of -n**5/30 - 13*n**4/12 - 61*n**2 - 57. Let w(t) be the second derivative of a(t). Suppose w(u) = 0. What is u?
-13, 0
Factor 0 - 88/7*d**3 + 184/7*d**2 - 2/7*d**4 + 0*d.
-2*d**2*(d - 2)*(d + 46)/7
Let v = 62 + -26. Suppose -1471*q**2 - 104*q**3 - 105*q**4 + 1509*q**2 - 8 + v*q - 26*q**5 - 105*q**3 + 124*q**5 = 0. What is q?
-1, -1/2, 2/7, 2
Let q(n) be the second derivative of n**7/42 - 17*n**6/15 + 321*n**5/20 - 136*n**4/3 + 128*n**3/3 - 1822*n. Factor q(g).
g*(g - 16)**2*(g - 1)**2
Let r(z) be the third derivative of -1152*z**3 + 0 - 360*z**4 + 0*z - 93*z**2 - 25/6*z**6 - 60*z**5. Suppose r(u) = 0. What is u?
-12/5
Let w(z) = 11*z**3 + 2*z**2 - 2*z + 1. Let j be w(1). Suppose j + 28 = 4*p. Let -27 + p*d - 15*d**2 + 5*d**4 + 16 + 11 = 0. Calculate d.
-2, 0, 1
Let v(f) = -f**3 - 1. Let c = -2 - -1. Let y(j) = 258 - 3*j**2 + 315 - 576 - j**4 - 6*j**3 - j. Let p(l) = c*y(l) + 3*v(l). Factor p(s).
s*(s + 1)**3
Let c be 0 + 20488/(-572) - -36. Factor 0 + c*k**2 + 0*k - 2/11*k**3.
-2*k**2*(k - 1)/11
Let j(r) be the first derivative of -9 - 12*r + 7/78*r**4 - 19/39*r**3 - 6/13*r**2. Let l(p) be the first derivative of j(p). Factor l(c).
2*(c - 3)*(7*c + 2)/13
Let c(q) = 94*q**2 + 9871*q + 105. Let d be c(-105). Factor 1/3*a**3 + 2/3*a - a**2 + d.
a*(a - 2)*(a - 1)/3
Solve -7001 + 5*b**3 - 60*b**2 - 6876 - 300*b + 13557 = 0 for b.
-2, 16
Let u(z) = -2*z**4 + 274*z**3 - 4*z**2 - 256*z - 6. Let y(o) = 4*o**4 - 550*o**3 + 9*o**2 + 511*o + 13. Let k(p) = 13*u(p) + 6*y(p). Factor k(w).
-2*w*(w - 131)*(w - 1)*(w + 1)
Suppose 1/5*z**2 + 528/5 + 56/5*z = 0. What is z?
-44, -12
Let f = 3161/3 - 6319/6. Let i(q) be the second derivative of 27*q + 0*q**2 - 3/20*q**5 + 0 - f*q**4 - 1/2*q**3. Suppose i(k) = 0. What is k?
-1, 0
Solve -65*j**2 - 4225/2*j - 1/2*j**3 + 0 = 0 for j.
-65, 0
Let k(n) = -n**3 + 139*n**2 - 282*n + 123. Let y(m) = 46*m**2 - 94*m + 42. Let v(q) = 4*k(q) - 14*y(q). Solve v(w) = 0 for w.
-24, 1
Suppose 9*h - 3*h + 6 = k, 5*k - 2*h - 2 = 0. Let z(t) be the first derivative of k*t + 0*t**4 + 5/6*t**6 - 2*t**5 - 19 + 10/3*t**3 - 5/2*t**2. Solve z(a) = 0.
-1, 0, 1
Let n(s) = 48*s**3 - 208*s**2 - 328*s + 468. Let k(a) = -a**4 + 48*a**3 - 209*a**2 - 328*a + 465. Let o(m) = 4*k(m) - 5*n(m). Solve o(h) = 0.
-15, -2, 1, 4
Suppose 89*p**3 + 8*p**4 - 9*p**4 + 28*p**2 + 264*p**3 + 326*p**2 = 0. What is p?
-1, 0, 354
Suppose -25*p + 26*p - 16 = 0. Let -42*b**3 + p*b + 78*b**3 + 14*b**2 - 38*b**3 = 0. Calculate b.
-1, 0, 8
Let k(n) be the third derivative of -n**5/330 + 49*n**4/132 - 16*n**3/11 + n**2 - 412. What is b in k(b) = 0?
1, 48
Suppose 3*c - h = 11, -c + 5*h + 2 = 3. Suppose -4*m = u + 4*u - 11, c*u + 4 = 0. Factor 555 - m*x**2 + 4*x - 555.
-4*x*(x - 1)
Let u(m) be the second derivative of 2*m**6/45 - m**5/15 - 13*m**4/9 + 2*m**3/9 + 8*m**2 + 172