ative of -2*w**3/15 - 26*w**2/5 - 338*w/5 - 4. Factor h(u).
-2*(u + 13)**2/5
Let -4/13*l**2 - 2/13*l**5 - 4/13*l**4 + 16/13*l**3 - 14/13*l + 8/13 = 0. Calculate l.
-4, -1, 1
Let w(v) be the second derivative of 1/330*v**5 + 0*v**4 + 0 - 1/33*v**3 + 3*v - 2*v**2. Let k(l) be the first derivative of w(l). Factor k(f).
2*(f - 1)*(f + 1)/11
Let r(n) be the third derivative of -n**6/48 + n**5/6 - 25*n**4/48 + 5*n**3/6 + 120*n**2. Suppose r(p) = 0. What is p?
1, 2
Let z(d) = -2*d**2 - d. Let c(o) = -o**3 + 9*o**2 + 9*o + 7. Let q be c(10). Let f(a) = 17*a**2 + 17*a + 2. Let u(v) = q*f(v) - 6*z(v). Factor u(w).
-3*(w + 1)*(13*w + 2)
Suppose 4*n + 2*u + 33 = 23, 2*u + 26 = 4*n. Determine y so that 4/9*y**n - 4/9*y**3 - 4/9 + 4/9*y = 0.
-1, 1
Let k(m) be the third derivative of -5*m**8/336 + m**7/21 + m**6/8 - 2*m**5/3 + 5*m**4/6 + 68*m**2. Determine z, given that k(z) = 0.
-2, 0, 1, 2
Let p(m) = m**2 - m + 1. Let w(q) = 2*q**4 - 6*q**3 - 25*q**2 + 101*q - 71. Let c(j) = p(j) - w(j). Determine n, given that c(n) = 0.
-4, 1, 3
Let y(u) = -11*u**3 + 25*u**2 - u - 25. Let a(m) = -120*m**3 + 275*m**2 - 10*m - 275. Let k(q) = 6*a(q) - 65*y(q). Factor k(i).
-5*(i - 5)*(i - 1)*(i + 1)
Let z(m) be the first derivative of m**6/12 - 3*m**5/5 + 11*m**4/8 - m**3 - 102. Factor z(y).
y**2*(y - 3)*(y - 2)*(y - 1)/2
Let j(z) be the third derivative of z**5/330 + 5*z**4/44 + 18*z**3/11 + 377*z**2. Solve j(p) = 0 for p.
-9, -6
Let b(z) be the first derivative of 16384*z**3/3 + 256*z**2 + 4*z + 110. Let b(t) = 0. What is t?
-1/64
Let k = -53 - -24. Let h be 7 + k/4 - (-91)/4. What is d in 21*d**2 - 3*d**3 - h*d**4 + 3/2 + 27/2*d**5 - 21/2*d = 0?
-1, 1/3, 1
Suppose 0 = -5*z + 4*d - 20, 0 = z - 4*z + 2*d - 10. Find y such that 5*y**2 - 7*y**3 + 5*y**4 + z*y**3 - 3*y**3 = 0.
0, 1
Factor 4*v**2 + 3451 + 3318 - 76*v - 6937.
4*(v - 21)*(v + 2)
Let q(a) be the third derivative of -a**6/780 + 11*a**5/195 + 8*a**2 + 5. Find l, given that q(l) = 0.
0, 22
Let n = 55834 + -223327/4. Suppose n*p**4 - 10*p + 3 - 1/4*p**5 - 31/4*p**3 + 51/4*p**2 = 0. Calculate p.
1, 2, 3
Let -98283/2 - 3/2*n**2 + 543*n = 0. What is n?
181
Factor -2/5*h**3 + 16 + 28/5*h**2 - 88/5*h.
-2*(h - 10)*(h - 2)**2/5
Let p be ((-30)/9)/(8/90). Let i = 38 + p. Factor -i*d**3 - 1/2*d**2 + 0 + 1/2*d**5 + 0*d + 1/2*d**4.
d**2*(d - 1)*(d + 1)**2/2
Let k(m) be the second derivative of 8*m + 1/72*m**4 + 1/3*m**2 - 5/36*m**3 + 0. Factor k(v).
(v - 4)*(v - 1)/6
Suppose -5*y + 89 = -j, -5*y + 67 + 20 = -3*j. Let i be (6/y)/(2/12). Factor 1 + w + i - w**2 - 3.
-w*(w - 1)
Let o(v) = -4*v**5 - 8*v**4 - 7*v**3 - 3*v + 3. Let h(x) = 4*x**5 + 8*x**4 + 6*x**3 + 2*x - 2. Let d(f) = 3*h(f) + 2*o(f). Determine y so that d(y) = 0.
-1, 0
Let f = -3609 - -18067/5. Factor -18/5*m**2 + f*m - 4/5.
-2*(m - 1)*(9*m - 2)/5
Let o(i) be the second derivative of i**4/114 + 7*i**3/19 - 24*i + 6. Suppose o(v) = 0. Calculate v.
-21, 0
Let u(a) be the third derivative of a**5/15 + a**4 - 14*a**3/3 - 224*a**2 - a. Factor u(y).
4*(y - 1)*(y + 7)
Let j(h) be the first derivative of 0*h**2 - 1/24*h**3 - 4 + 8*h - 1/48*h**4. Let d(s) be the first derivative of j(s). Factor d(x).
-x*(x + 1)/4
Let l be 0 + 6/30 + (-15)/((-1575)/474). Let l*o**2 - 36/7*o - 108/7 + 6/7*o**3 - 3/7*o**4 = 0. Calculate o.
-2, 3
Let q(c) be the first derivative of 0*c**3 - 1/8*c**2 + 1/16*c**4 + 0*c - 15. Suppose q(d) = 0. What is d?
-1, 0, 1
Solve 41*b**3 + 4 - 4 + 22*b**3 + 180*b**2 + 176*b - 59*b**3 = 0 for b.
-44, -1, 0
Determine a so that 25 + 23*a**3 + 5*a**4 - 53*a**2 - 3*a + 23 + 19*a - 52 - 3*a**5 + 16 = 0.
-3, -1/3, 1, 2
Let -1 + 7 - 8*k**2 + 8*k + 5*k = 0. What is k?
-3/8, 2
Let w(a) be the first derivative of -a**6/12 - a**5/5 + 5*a**4/8 + 5*a**3/3 - a**2 - 4*a + 60. Solve w(z) = 0.
-2, -1, 1, 2
Suppose 3*w + 21 = c, -52*c + w = -47*c - 7. Factor 2/9*o**3 + c - 8/9*o + 2/3*o**2.
2*o*(o - 1)*(o + 4)/9
Let o(n) = 3*n - 29. Let j be o(12). Suppose 3*x**2 - 3*x - 7*x**2 + j*x = 0. What is x?
0, 1
Let l(m) be the second derivative of -8*m + 0 - m**2 + 1/6*m**4 + 1/6*m**3 - 1/20*m**5. Factor l(f).
-(f - 2)*(f - 1)*(f + 1)
Let u(w) be the third derivative of -w**5/30 - 5*w**4/6 - 3*w**3 + 339*w**2 - 1. Find z such that u(z) = 0.
-9, -1
Let x(g) = 8*g**3 + 42*g**2 + 49*g + 33. Let c(j) = j**3 + 4*j**2 - 2*j + 1. Let z(f) = -3*c(f) + x(f). Factor z(p).
5*(p + 1)*(p + 2)*(p + 3)
Let o = 293 - 289. Let c(s) be the second derivative of 5/9*s**3 + 2/15*s**5 - 2/3*s**2 + 5*s + 11/18*s**o + 0. Factor c(t).
2*(t + 1)*(t + 2)*(4*t - 1)/3
Suppose 4*z - 20 = -2*m, -4*m - 3 = -5*z - 4. Factor -3*l + 7/4*l**z + 1 - 9/4*l**2.
(l - 2)*(l + 1)*(7*l - 2)/4
Let l be (-154)/385*25/(-7). Factor 76/7*q**3 + 44/7*q**4 + l*q**5 + 64/7*q**2 + 26/7*q + 4/7.
2*(q + 1)**4*(5*q + 2)/7
Let y be ((-1)/(-8) - (-1122)/(-272))/(-2). Suppose 2*p - 3*r = 3 - 6, p + 3*r = 3. Factor -3/2 + p*v + 3/2*v**y.
3*(v - 1)*(v + 1)/2
Let q(c) = -c**2 + 2224*c - 154575. Let o(h) = 1112*h - 77288. Let i(l) = -7*o(l) + 4*q(l). What is m in i(m) = 0?
139
Let t(f) be the second derivative of f**6/10 + 3*f**5/20 - 2*f**4 - 6*f**3 - 291*f. Determine k so that t(k) = 0.
-2, 0, 3
Let g be ((-8)/(-126))/((-116)/(-174)). Suppose 2*m = v - 2, -2*v - 3*v + m + 10 = 0. Factor 2/7*i + 0 - g*i**v.
-2*i*(i - 3)/21
Suppose 15*h + 13*h - 140 = 0. Let v(a) be the second derivative of 8*a - 1/147*a**7 + 0*a**3 + 0*a**2 + 0*a**6 + 0 + 1/70*a**h + 0*a**4. Solve v(q) = 0 for q.
-1, 0, 1
Let b(s) = -150*s - 596. Let n be b(-4). Suppose -1/2*t**2 + 3*t - n = 0. What is t?
2, 4
Let p = -93785/2 + 1215153/26. Let x = 156 + p. Factor 2/13 - 2/13*k**2 - 2/13*k + x*k**3.
2*(k - 1)**2*(k + 1)/13
Let o(l) be the third derivative of -l**8/1176 - 4*l**7/735 - l**6/420 + l**5/21 + l**4/21 - 8*l**3/21 + 19*l**2. Factor o(r).
-2*(r - 1)**2*(r + 2)**3/7
Factor 8*m**5 + 9*m**4 + 17*m**5 - 19*m**5 + 3*m**3.
3*m**3*(m + 1)*(2*m + 1)
Let m(l) = -2*l**2 - 6*l + 14. Let b be m(-5). Let f = b + 48/7. Let -f*r**2 - 10/7*r + 4/7 = 0. What is r?
-2, 1/3
Let l(i) be the first derivative of 1/33*i**3 - 1/11*i + 0*i**2 - 12. Factor l(w).
(w - 1)*(w + 1)/11
What is k in -9 + 5*k - 5*k**5 - 10*k**4 - 2 - 2 + 13 + 10*k**2 = 0?
-1, 0, 1
Let s(c) = -7*c**2 - 49*c + 48. Let a(i) = 19*i**2 + 148*i - 145. Let f(h) = 4*a(h) + 11*s(h). Determine n, given that f(n) = 0.
1, 52
Let d(v) be the third derivative of 0*v + 1/168*v**8 + 1/30*v**5 + 0 - 1/105*v**7 - 2*v**2 + 0*v**3 - 1/60*v**6 + 0*v**4. Factor d(f).
2*f**2*(f - 1)**2*(f + 1)
Let n(g) be the first derivative of 7*g**6/12 + 27*g**5/5 + 89*g**4/8 - 43*g**3/3 - 24*g**2 + 16*g + 107. Find m, given that n(m) = 0.
-4, -1, 2/7, 1
Let 13*a**2 + 24*a - 6*a**2 + 3*a**2 - 7*a**2 - 7*a**2 = 0. What is a?
0, 6
Let z(i) = -i**3 + i**2 + i - 1. Let o(t) = t**3 - t**2 + t - 2. Let l be o(0). Let u(p) = 6*p**3 + 6*p**2 + 2*p + 2. Let f(a) = l*z(a) - u(a). Factor f(s).
-4*s*(s + 1)**2
Let r(d) = -10*d**2 + 24*d - 29. Let t(b) = 12*b**2 - 24*b + 28. Let q(j) = -4*r(j) - 3*t(j). Factor q(m).
4*(m - 4)*(m - 2)
Let q = 14 + -12. Solve -5*u - 3*u - 25 + 2*u**2 - 3*u**2 - q*u = 0 for u.
-5
Let a(l) be the second derivative of 5*l**7/42 + l**6/15 - l**5 - 2*l**4/3 + 20*l + 1. Find u, given that a(u) = 0.
-2, -2/5, 0, 2
Let a = 7234/21 + -1030/3. Determine t so that -136/7*t + a + 578/7*t**2 = 0.
2/17
Let y(s) = s**3 - 28*s**2 + 164*s - 80. Let o be y(20). Factor 32/9*z**3 + 0 + 16/9*z**2 + o*z + 4/9*z**5 + 20/9*z**4.
4*z**2*(z + 1)*(z + 2)**2/9
Suppose -19*o + 5*y - 14 = -16*o, -o + 2*y - 6 = 0. Let 0 + 4/9*l**o + 8/9*l = 0. What is l?
-2, 0
Let o(v) be the second derivative of -v**6/60 - v**5/20 + 19*v**4/24 - 7*v**3/3 + 3*v**2 - 3*v + 2. Factor o(a).
-(a - 2)*(a - 1)**2*(a + 6)/2
Factor -2*h + 2*h**3 - 228*h**2 + 3*h**4 + 230*h**2 - 5*h**4.
-2*h*(h - 1)**2*(h + 1)
Let w(g) = 33*g**2 - 1. Let a be w(1). Suppose -a = -2*t - 2*t. Solve -t*o - 7 - 7*o**3 - 24*o**2 - 1 - o**4 + 6*o**2 - 12*o = 0 for o.
-2, -1
Let o be (-19 - 2)/(17 + -20). Let w(n) be the second derivative of 0 - n - 1/21*n**o - 7/5*n**5 - 8/3*n**4 - 2/5*n**6 - 2*n**2 - 3*n**3. Factor w(a).
-2*(a + 1)**4*(a + 2)
Let p(t) be the third derivative of t**6/80 - t**5/2 + 37*t**4/16 - 9*t**3/2 - 82*t**2. Factor p(k).
3*(k - 18)*(k - 1)**2/2
Let n = -2232 - -2237. Determine v so that 2