vative of b(j). Factor o(i).
2*i*(i - 1)*(i + 2)/15
Factor -1/3*i**2 + 79/3*i - 26.
-(i - 78)*(i - 1)/3
Let r = -263/11880 + 14/297. Let h(i) be the third derivative of -4/3*i**3 + 1/480*i**6 + 25*i**2 + 0*i**4 + 0*i + r*i**5 + 0. Factor h(g).
(g - 2)*(g + 4)**2/4
Suppose 117*b + 803 = 4664. Factor b*i + 1089/2 + 1/2*i**2.
(i + 33)**2/2
Let r be 2 - (-2 - (3 - 7 - -2)). Determine o so that -30*o - 15*o + 112*o**2 - 111*o**r = 0.
0, 45
Let g = 121355 - 121355. Factor 4/17*i**2 + 2/17*i**3 + g - 6/17*i.
2*i*(i - 1)*(i + 3)/17
Suppose 12*o - 2 = 10. Let d(l) = -l**3 - l**2 - 2. Let h(s) = -8*s**3 - 12*s**2 + 96*s - 8. Let g(v) = o*h(v) - 4*d(v). Find w, given that g(w) = 0.
-6, 0, 4
Factor 2/5*u**3 + 666/5*u - 1008/5 + 68*u**2.
2*(u - 1)*(u + 3)*(u + 168)/5
Let j(t) be the third derivative of 0*t**4 - 2/105*t**7 + 0*t - 58*t**2 + 1/3*t**6 - 5/3*t**5 + 0*t**3 + 0. Suppose j(z) = 0. What is z?
0, 5
Let c(t) be the first derivative of -8/9*t**3 - 47/3*t**2 + 8*t + 74. Factor c(m).
-2*(m + 12)*(4*m - 1)/3
Suppose -30*u = 24*u - 23*u - 93. Let x(s) be the second derivative of 0*s**2 + 0 - 1/16*s**4 + 5/8*s**u - 23*s. Find m, given that x(m) = 0.
0, 5
Let g(w) = -10*w**4 + 35*w**3 + 189*w**2 + 326*w. Let d(a) = a**4 - 2*a**3 + 3*a**2 - 2*a. Let f(t) = 7*d(t) + g(t). Factor f(z).
-3*z*(z - 13)*(z + 2)*(z + 4)
Let w(o) = 2*o**2 - 12*o + 34. Let l be w(4). Let h(s) = -s**3 - s**2 + s. Let j(x) = 14*x**3 + x**2 - 14*x + 8. Let r(g) = l*h(g) + 2*j(g). Factor r(c).
2*(c - 1)*(c + 1)*(5*c - 8)
Let w(v) = 20*v**2 - 50*v - 26. Let n be w(-6). Let t = n - 992. Suppose 6/7*z**t - 2/7*z**4 + 0 + 0*z**3 - 4/7*z = 0. Calculate z.
-2, 0, 1
Suppose -24 = -z - z. Let b(o) = -3*o**3 + 31*o**3 - 9*o**3 - 11*o**3 - 9*o**3. Let t(s) = -16*s**3 + 12*s**2. Let l(p) = z*b(p) - t(p). Solve l(w) = 0.
0, 3
Let w be ((-32)/(-14))/((-24968)/(-28089)). Factor -w*v + 3/7*v**3 + 0 + 3/7*v**2.
3*v*(v - 2)*(v + 3)/7
Let v(p) be the second derivative of 1805*p**7/42 - 247*p**6/6 - 233*p**5/2 + 595*p**4/6 + 175*p**3/2 + 45*p**2/2 - 1079*p. Suppose v(k) = 0. What is k?
-1, -3/19, 1
Let f(u) be the second derivative of -u**6/72 - u**5/6 + 25*u**4/24 - 14*u**3/3 + 40*u. Let y(d) be the second derivative of f(d). Let y(x) = 0. Calculate x.
-5, 1
Suppose 32*c + c - 196 = 167. Let w(q) be the third derivative of 0*q - c*q**2 + 0 - 1/180*q**6 + 1/6*q**4 + 1/90*q**5 + 0*q**3. Suppose w(k) = 0. Calculate k.
-2, 0, 3
Let b(p) be the first derivative of -p**9/8064 + p**7/280 - p**5/20 - 43*p**3/3 + 9. Let d(h) be the third derivative of b(h). Suppose d(v) = 0. Calculate v.
-2, 0, 2
Let s be (-2)/174 + (-2745)/(-238815). Factor 4/7*l**4 - 20/7*l**3 - 88/7*l**2 - 64/7*l + s.
4*l*(l - 8)*(l + 1)*(l + 2)/7
Let s(p) = 13*p - 331. Let b be s(26). Let -23 - 49*t - 11*t**4 - 22*t**2 + 13*t**4 + 13*t + b = 0. What is t?
-2, -1, 4
Let q(h) be the second derivative of -7*h**4/3 - 104*h**3/3 + 264*h**2 - 26*h - 129. Factor q(r).
-4*(r - 2)*(7*r + 66)
Let t(n) be the first derivative of n**4/24 + 11*n**3/6 + 121*n**2/4 - 248*n + 307. Let h(j) be the first derivative of t(j). Factor h(c).
(c + 11)**2/2
Let m(j) be the second derivative of -2*j**6/15 - 262*j**5/5 - 5807*j**4 - 68120*j**3/3 - 33800*j**2 - 13*j - 38. Suppose m(z) = 0. Calculate z.
-130, -1
Let j(v) be the second derivative of 2*v**7/21 - 148*v**6/15 + 1369*v**5/5 - 1493*v. Factor j(i).
4*i**3*(i - 37)**2
Let w be ((-1099280)/(-453))/(-208)*2/(-10*1). Solve 0 + 44/9*l**2 + 8/9*l + w*l**4 + 62/9*l**3 = 0 for l.
-2, -2/3, -2/7, 0
Let w(r) = -r - 13. Let s be w(-17). Let -78*m**2 - s*m - 83*m**2 + 160*m**2 + 12 = 0. Calculate m.
-6, 2
Solve 640/7*j - 51200/7 - 2/7*j**2 = 0.
160
Let g(d) be the third derivative of -d**5/30 - 124*d**4/3 - 61504*d**3/3 - 33*d**2. Determine v so that g(v) = 0.
-248
Let o be 16 - (-54)/1080*-316. Factor 11/5*a + 1 + o*a**3 + 7/5*a**2.
(a + 1)**2*(a + 5)/5
Let b(c) = c**2 - 23*c - 50. Let p be b(-2). Suppose m + 4*x - 4 = p, -m - x + 1 = -5*m. Factor -1/5*l - 1/10*l**2 + m.
-l*(l + 2)/10
Let w(x) be the first derivative of -3/10*x**4 - 1/450*x**6 + 3 - 23/3*x**3 + 0*x**2 + 0*x + 1/25*x**5. Let q(z) be the third derivative of w(z). Factor q(g).
-4*(g - 3)**2/5
Suppose -k - 4*u - 4 + 12 = 0, 0 = -5*k + 3*u - 29. Let p be 180/99 - k/(-66)*-3. Suppose -344 - 4*a**p + a**3 + 344 = 0. What is a?
0, 4
Suppose -5*f + 0*f = 3*r - 45, -f = -3*r - 9. Let l(b) = -2*b + 21. Let v be l(f). Suppose -g**5 + 5*g**5 - 3*g**5 - g**v + 0*g**3 = 0. What is g?
-1, 0, 1
Factor 86/13*w + 24 + 2/13*w**2.
2*(w + 4)*(w + 39)/13
Factor 2/13*i**4 - 12/13*i**2 + 0 + 0*i - 10/13*i**3.
2*i**2*(i - 6)*(i + 1)/13
Let s(w) = -111*w**2 + 936*w - 1815. Let a(l) = -136*l**2 + 1170*l - 2269. Let d(b) = -9*a(b) + 11*s(b). Factor d(u).
3*(u - 76)*(u - 2)
Suppose 10*o + 64 = -6*o. Let x be 96/(-36)*o/16. Determine q so that -8/3*q - 2 - x*q**2 = 0.
-3, -1
Let k(w) be the third derivative of -w**8/3696 - w**7/70 - 141*w**6/440 - 873*w**5/220 - 324*w**4/11 - 1458*w**3/11 - 7*w**2 + 764*w. Solve k(g) = 0.
-9, -6, -3
Let x(r) be the second derivative of r**4/78 - 21*r**3/13 - 732*r. Find w, given that x(w) = 0.
0, 63
Let q(w) be the second derivative of -11*w**4/16 + 45*w**3/8 - 51*w**2/4 - 141*w - 3. Factor q(z).
-3*(z - 1)*(11*z - 34)/4
Let z be -6 + (238/(-7))/(-17)*3. Factor -1/3*g**4 + 0*g**2 + 0 + z*g + 1/6*g**3 + 1/6*g**5.
g**3*(g - 1)**2/6
Suppose -2 = -a + 3*w + 15, 5*a = 4*w + 30. Find d, given that -22*d**2 + 56*d**2 - 33*d**a + 15*d + 57*d = 0.
-72, 0
Suppose q + 0*q - 5*a = 38, -4*q = 4*a - 176. Factor -15*y - 24*y + 96*y**3 + q*y + 104*y**2 - 4.
4*(y + 1)*(4*y + 1)*(6*y - 1)
Let p(g) = 4*g**3 - 35*g**2 + 24*g - 7. Let a(d) = 4*d**3 - 34*d**2 + 24*d - 6. Suppose 4*x = 6*x - 12. Let z(i) = x*p(i) - 7*a(i). Solve z(h) = 0 for h.
0, 1, 6
Let f(z) be the second derivative of z**4/78 + 1618*z**3/39 + 654481*z**2/13 - 2702*z. Factor f(a).
2*(a + 809)**2/13
Let k(q) be the first derivative of 5*q**6/6 + 83*q**5 + 5425*q**4/2 + 91630*q**3/3 + 197225*q**2/2 - 300125*q - 919. Solve k(d) = 0 for d.
-35, -7, 1
Suppose -322 + 322 = 652*f. Let 0 - 6*b + 9/2*b**3 + f*b**2 + 3/2*b**4 = 0. What is b?
-2, 0, 1
Suppose 60*s - 3*s - 34*s - 92 = 0. Let v(c) be the third derivative of 0*c**3 + 0*c + 1/12*c**5 - 13*c**2 + 0 + 5/12*c**s. Determine w so that v(w) = 0.
-2, 0
Let k(p) = -8*p**3 + 12*p**2 + 4*p - 12. Let u(z) = z**3 + z**2 - 1. Let f = 271 + -272. Let a(n) = f*k(n) - 4*u(n). Let a(i) = 0. Calculate i.
-1, 1, 4
Let a = -114 - -118. Suppose 4 = a*x, x = -0*i + i - 10. Determine k so that i*k**2 + 15*k + 11*k**2 - 27*k**2 = 0.
0, 3
Let m(h) = -24*h**2 - 52*h + 482. Let n(r) = 59*r**2 + 103*r - 967. Let j(f) = -5*m(f) - 2*n(f). Suppose j(u) = 0. Calculate u.
-34, 7
Let h(y) be the first derivative of 2*y**6/27 - 32*y**5/15 - 106*y**4/9 - 656*y**3/27 - 74*y**2/3 - 112*y/9 - 12641. Factor h(x).
4*(x - 28)*(x + 1)**4/9
Let k(i) = 34*i**3 - 132*i**2 - 844*i - 1568. Let g(d) = 5*d**3 - 19*d**2 - 119*d - 224. Let l(t) = -20*g(t) + 3*k(t). Factor l(b).
2*(b - 14)*(b + 2)*(b + 4)
Suppose 4*i = 16*g - 17*g + 9, 0 = -4*g + 4. Let c = -1/70 + 29/70. Determine d so that 0 + 2/5*d**i - c*d = 0.
0, 1
Find v, given that 0*v**3 + 421*v**2 + 4*v**3 - 129*v**2 + 432*v**2 + 188*v**2 = 0.
-228, 0
Let q(r) be the second derivative of -7*r**4/12 + 16*r**3/3 - 367*r**2/2 - 62*r. Let n(h) = -20*h**2 + 97*h - 1100. Let y(p) = 6*n(p) - 17*q(p). Factor y(t).
-(t - 19)**2
Let f(c) be the third derivative of c**8/336 + 34*c**7/105 + 11*c**6/20 - 17*c**5/15 - 67*c**4/24 + 150*c**2. Factor f(w).
w*(w - 1)*(w + 1)**2*(w + 67)
Let i(o) = o**3 - 28*o**2 + 173*o + 156. Let j be i(11). What is m in -351232 - 4/7*m**4 + 64*m**3 + 50176*m - 2688*m**j = 0?
28
Let u be 3/(7 - (-112233)/(-16038)). Factor 243*f - u - 27/2*f**2 + 1/4*f**3.
(f - 18)**3/4
Let l(p) be the first derivative of p**3 - 17*p - 10*p + 12*p**2 + 142 - 16 + 31. Find n, given that l(n) = 0.
-9, 1
Let g(y) be the first derivative of 8/7*y - 111 + 4/7*y**2 + 2/21*y**3. Solve g(q) = 0.
-2
Let n(j) = -j**2 - 30*j + 29. Suppose -o = -3*p + 6, 0 = 3*p - 2*o - 6. Let r(h) = 4*h**2 + 120*h - 115. Let q(u) = p*r(u) + 9*n(u). Let q(z) = 0. What is z?
-31, 1
Let f(h) be the first derivative of h**3/9 + h**2/6 - 20*h/3 + 13446. Factor f(k).
(k - 4)*