 + p**8/3360 + p**7/1260 - p**6/360 + 5*p**4/4 - 27*p**2. Let i(x) be the second derivative of v(x). Factor i(o).
-2*o*(o - 1)**2*(o + 1)
Let p(b) be the first derivative of -4/21*b**3 - 8/7*b - 6/7*b**2 - 29. Suppose p(h) = 0. What is h?
-2, -1
Let t(w) be the second derivative of -w**4/6 + 26*w**3/3 - 153*w**2 - 37*w + 1. Let t(b) = 0. What is b?
9, 17
Solve -114 - 174*b**3 - 4*b**5 + 36*b**4 + 47*b**4 - 17*b**4 + b**5 + 177*b + 57*b**2 - 9*b**2 = 0 for b.
-1, 1, 2, 19
Let y(l) = 15*l**3 - 94*l**2. Let p(b) = -31*b**2 + b**3 + 7*b**3 - 3*b**3. Let k(a) = 11*p(a) - 4*y(a). Factor k(x).
-5*x**2*(x - 7)
Let w(r) be the third derivative of r**8/5040 - r**7/1260 - 9*r**5/20 + 3*r**2. Let i(h) be the third derivative of w(h). Find x, given that i(x) = 0.
0, 1
Factor 5*x + 1/2*x**2 + 9/2.
(x + 1)*(x + 9)/2
Let f = 143/238 - 1/34. Let v(w) be the second derivative of f*w**3 + 4/7*w**2 + 5/42*w**4 - 2*w + 0. Determine x so that v(x) = 0.
-2, -2/5
Let t(v) be the first derivative of -3*v**5/5 + 3*v**4/4 + 17*v**3 + 45*v**2/2 + 105. Factor t(w).
-3*w*(w - 5)*(w + 1)*(w + 3)
Let f(v) be the third derivative of -v**8/23520 - v**7/4410 + v**6/630 + 2*v**5/105 + v**4/3 - 3*v**2. Let g(k) be the second derivative of f(k). Factor g(y).
-2*(y - 2)*(y + 2)**2/7
Let k = 85/164 + -3/164. Find h such that 1/2*h**4 + 0 - 1/2*h**2 + 0*h - k*h**5 + 1/2*h**3 = 0.
-1, 0, 1
Let v = -295 + 298. Let n(c) be the third derivative of 0*c + v*c**2 + 1/60*c**6 - 1/30*c**7 + 7/20*c**5 + 0 + 1/3*c**4 - 2/3*c**3. Solve n(t) = 0.
-1, 2/7, 2
Let p(x) be the second derivative of -x**6/120 - x**5/60 - 3*x**2/2 + 22*x. Let m(b) be the first derivative of p(b). Factor m(u).
-u**2*(u + 1)
Suppose -29*u - 24 = -25*u. Let f(c) = -c + 3. Let x be f(u). Factor -5*q**3 + x - 9*q**2 + 2*q**3 + 2*q**3 + 4*q**3 - 3*q.
3*(q - 3)*(q - 1)*(q + 1)
Let l be 10 + 0 - (-12)/3. Factor 8 + l*q - 8*q - 3*q**2 + 1.
-3*(q - 3)*(q + 1)
Suppose 6*r - 6*r + 20*r - 40 = 0. Let f be 2/(-6)*3/(-4). Factor -f*o**4 + 0*o + 1/2*o**r - 1/4 + 0*o**3.
-(o - 1)**2*(o + 1)**2/4
Let k(s) be the second derivative of -s**8/6720 - s**7/840 - s**6/360 - 11*s**4/6 - 13*s. Let y(o) be the third derivative of k(o). Find i such that y(i) = 0.
-2, -1, 0
Suppose a + 36 = -3*d, -2*a + 4*d + 2 - 54 = 0. Let m be 4 + (-2)/(-10) + 106/a. Let m + 1/3*b**2 + b = 0. What is b?
-2, -1
Let u = 315 + -4093/13. Suppose 0*m - 4 = -4*m + k, -2*m - k = 4. Determine a so that u*a**4 + m + 0*a**3 - 4/13*a - 6/13*a**2 = 0.
-1, 0, 2
Let v be 6/(-9) + 11/12. Let p(j) be the third derivative of -3/8*j**3 - v*j**4 + 0*j + 0 + 6*j**2 - 1/15*j**5. Factor p(o).
-(4*o + 3)**2/4
Let f be (-851)/(-30) + (-616)/105 + 6 - 6. Solve 40 + f*o**2 + 60*o + 5/2*o**3 = 0 for o.
-4, -1
Let c(k) be the second derivative of -k**5/100 + 7*k**4/60 - k**3/2 + 9*k**2/10 + 281*k. Factor c(o).
-(o - 3)**2*(o - 1)/5
Suppose -2*m + 8*m = 3*m. Let k(j) be the first derivative of 1/20*j**4 + 2/25*j**5 + 0*j**2 + 0*j + 1/30*j**6 - 5 + m*j**3. Suppose k(g) = 0. What is g?
-1, 0
Let c be 3/(-7) - 25/7. Let b(r) = r**2 + 50*r + 51. Let t(g) = g**2 + 25*g + 26. Let p(d) = c*b(d) + 9*t(d). What is z in p(z) = 0?
-3, -2
Let y(r) be the first derivative of r**5/10 - 3*r**4/4 - r**3/2 + 5*r**2 - 6*r - 35. Factor y(x).
(x - 6)*(x - 1)**2*(x + 2)/2
Solve -4*h + 4 - 439*h**2 + 444*h**2 - h - 14 = 0 for h.
-1, 2
Let a be ((-12)/8 + 1)*-2. Factor 5 + 15*l**2 - a + 4*l**4 - 23*l**2.
4*(l - 1)**2*(l + 1)**2
Let c be 1/(-4) + (3 - 219/(-156)). Let p(d) be the first derivative of -36/13*d**2 - c*d**3 - 8/13*d - 3. Determine s, given that p(s) = 0.
-2/9
Suppose -3*r - 518 = 2*m - r, 3 = 3*r. Let k = 787/3 + m. Factor 2/3 + k*h - 7/3*h**3 - 2/3*h**2.
-(h - 1)*(h + 1)*(7*h + 2)/3
Let s(n) be the second derivative of n**8/1008 + n**7/630 - n**6/360 - n**5/180 + 6*n**2 + 4*n. Let l(x) be the first derivative of s(x). Solve l(v) = 0.
-1, 0, 1
Let b be (-14)/(-105)*-42 + 6. Let a(v) be the first derivative of 1 - 1/10*v**4 - 2/5*v**3 - 3/5*v**2 - b*v. Solve a(u) = 0 for u.
-1
Let x(j) = -j**4 - j**3 + j. Let p(t) = 20*t**5 - 35*t**4 - 79*t**3 + 136*t**2 - 13*t - 32. Let y(m) = p(m) - 3*x(m). Suppose y(f) = 0. Calculate f.
-2, -2/5, 1, 2
Let t(v) be the second derivative of 0*v**2 + 0 + 9/40*v**5 + 0*v**3 - 2*v - 1/8*v**4 + 1/5*v**6. Find x such that t(x) = 0.
-1, 0, 1/4
Let x(b) be the first derivative of b**5/2 - 11*b**4/8 + 7*b**3/6 - b**2/4 + 160. Let x(p) = 0. What is p?
0, 1/5, 1
Let z(y) be the second derivative of -2/9*y**3 + 0 + 10*y + 0*y**2 + 1/18*y**4. Let z(n) = 0. What is n?
0, 2
Let n(z) be the third derivative of -z**7/840 + z**5/40 + z**4/12 + 7*z**3/6 + 3*z**2. Let y(m) be the first derivative of n(m). Factor y(q).
-(q - 2)*(q + 1)**2
Solve 21*p**3 - p**4 - 2013*p**2 + 2061*p**2 + 36*p + 4*p**4 = 0.
-3, -2, 0
Let f be 44/(-352) + (-627)/(-280). Let g = -12/7 + f. Suppose -g*d + 0 - 3/5*d**2 - 1/5*d**3 = 0. Calculate d.
-2, -1, 0
Let z be (6 - 352/55)/(18/(-10)). Let f be (-10)/(-18)*8/5. Factor f - 8/9*h + z*h**2.
2*(h - 2)**2/9
Suppose 11*i - 124 = -36. Suppose 0 = -5*n + i + 12. Find a such that 1/3*a**2 + 1/3*a**3 - 1/3*a**n - 1/3*a + 0 = 0.
-1, 0, 1
Let x(y) be the third derivative of -5*y**8/112 + 4*y**7/21 + y**6/4 - 2*y**5/3 - 5*y**4/8 + y**2 - 3*y. Solve x(k) = 0 for k.
-1, -1/3, 0, 1, 3
Let q(y) be the third derivative of -y**7/1344 + y**6/360 - y**5/960 - y**4/96 - 3*y**3 - 20*y**2. Let t(c) be the first derivative of q(c). Factor t(h).
-(h - 1)**2*(5*h + 2)/8
Suppose 16 + 2 = 6*s. Factor -14 + 9*v**2 + 10 + 4 - 3*v**s.
-3*v**2*(v - 3)
Let l(r) be the first derivative of 16 - 4/21*r - 2/63*r**3 + 1/7*r**2. Factor l(y).
-2*(y - 2)*(y - 1)/21
Let f(m) = m**3 - 22*m**2 + 2*m + 96. Let u(y) = -12*y**3 + 288*y**2 - 27*y - 1248. Let c(s) = 27*f(s) + 2*u(s). Factor c(j).
3*(j - 4)**2*(j + 2)
Factor -6*n + 23/4 + 1/4*n**2.
(n - 23)*(n - 1)/4
Suppose -4*w + 6 = -2. Find k such that 3*k**2 + k + 9*k**2 - 13*k**w - 13*k - 36 = 0.
-6
Let w be ((-86)/18)/((56/12)/7). Let g = -277/42 - w. Solve 6/7*f**2 - g*f + 0 - 2/7*f**3 = 0.
0, 1, 2
Suppose -1039 + 1024 = -3*p. Solve 6/5*b**2 - 4/5*b + 2/5*b**p + 0 + 2/5*b**3 - 6/5*b**4 = 0 for b.
-1, 0, 1, 2
Let x(c) be the first derivative of -c**5/80 - c**4/48 + 5*c**3/24 - 3*c**2/8 + 23*c + 8. Let h(p) be the first derivative of x(p). Factor h(s).
-(s - 1)**2*(s + 3)/4
Let f be 9/(-40) - 6/(-24). Let w(s) be the third derivative of 0 - 9/2*s**3 + 1/4*s**5 - f*s**6 + 0*s - 3/8*s**4 - 5*s**2. Factor w(j).
-3*(j - 3)**2*(j + 1)
Let l(f) be the third derivative of f**6/720 - f**5/45 + f**4/9 + 2*f**2 - 8*f. Factor l(s).
s*(s - 4)**2/6
Let n(u) = -4*u**5 + 36*u**4 - 5*u**3 + 8*u**2 + 10*u. Let p(v) = v**5 - 7*v**4 - v**3 - 2*v. Let z(h) = -n(h) - 5*p(h). Factor z(a).
-a**2*(a - 2)*(a - 1)*(a + 4)
Let i(x) be the first derivative of 3*x**4/4 - 4*x**3/3 + x**2 + x - 44. Let u(w) = -w**4 + w**2 - w - 1. Let p(r) = i(r) + u(r). What is k in p(k) = 0?
0, 1
Let u(s) be the second derivative of 2*s**7/7 - 11*s**6/10 - 9*s**5/20 + 4*s**4 + 2*s**3 - 3*s - 7. Let u(c) = 0. What is c?
-1, -1/4, 0, 2
Factor 15/2*w**2 + 9/4 + 39/4*w.
3*(w + 1)*(10*w + 3)/4
Let d(k) be the second derivative of k**6/10 - 21*k**5/20 + 15*k**4/4 - 13*k**3/2 + 6*k**2 + 50*k. Factor d(q).
3*(q - 4)*(q - 1)**3
Factor 20/7*a**2 + 43/7*a + 22/7 - 1/7*a**3.
-(a - 22)*(a + 1)**2/7
Let y(b) be the first derivative of 13*b**7/70 + 3*b**6/8 + b**5/10 - 27*b**2/2 + 60. Let m(s) be the second derivative of y(s). Factor m(u).
3*u**2*(u + 1)*(13*u + 2)
Let q(u) = 6*u + 3. Let s be q(2). Suppose 5*a = -5*o + s, 3 = a + 3*o + 4. Factor -4/7*r**3 + 0*r**2 - 6/7*r**4 + 0*r + 10/7*r**a + 0.
2*r**3*(r - 1)*(5*r + 2)/7
Determine w, given that -187*w + 90*w - 24*w**2 - 3*w**4 + 27 + 18*w**3 + 79*w = 0.
-1, 1, 3
Let s(f) = -3*f**2 + 6*f - 3. Suppose -13 = 2*n - 19. Let z(k) = 4*k + 4 - k**2 - n - k - 3. Let i(h) = 4*s(h) - 9*z(h). What is j in i(j) = 0?
-2, 1
Let z be 2 + (0 - 4) + 4. Suppose -z = -2*v + v. Find c such that -2*c**3 - 17*c**2 + 40*c**2 - 23*c**v - 2*c**4 = 0.
-1, 0
Let n(r) be the second derivative of r**6/60 + 11*r**5/40 + 13*r**4/8 + 15*r**3/4 - r - 37. What is h in n(h) = 0?
-5, -3, 0
Let v(p) be the third derivative of p**10/60480 - p**9/30240 - p**8/13440 + p**7/5040 - p**4/6 - 4*p**