2*x**2/5 - 12*x/5 - 7. Factor k(m).
3*(m - 2)**2*(m - 1)/5
Let x(p) be the first derivative of -p**7/5040 - p**6/2160 - p**3/3 + 1. Let r(n) be the third derivative of x(n). Find w, given that r(w) = 0.
-1, 0
Let c(j) = 14*j**2 + 14*j + 5. Let h(v) = -5*v**2 - 5*v - 2. Let d(m) = 4*c(m) + 11*h(m). Determine o, given that d(o) = 0.
-2, 1
Let b = -19 - -15. Let q be b/6*9/(-15). Factor 2/5*x**4 + 4/5*x**3 - q + 0*x**2 - 4/5*x.
2*(x - 1)*(x + 1)**3/5
Let d(b) be the third derivative of -b**7/315 + b**6/36 - 4*b**5/45 + b**4/9 - 70*b**2. Solve d(x) = 0 for x.
0, 1, 2
Let n = -26 + 53/2. Let c be 1/(-2) + -2 + 6 + -3. Factor -y + n + c*y**2.
(y - 1)**2/2
Let y(h) = h - 2. Let s be y(5). Determine i, given that -s + 5 - i**2 - 2 = 0.
0
Factor -3 + 0*j**2 - 196*j + 193*j + 3*j**3 + 3*j**2.
3*(j - 1)*(j + 1)**2
Let p(n) be the first derivative of -4 - 1/60*n**6 + 3*n - 1/48*n**4 + 0*n**2 - 1/16*n**5 + 1/12*n**3. Let o(m) be the first derivative of p(m). Factor o(f).
-f*(f + 1)*(f + 2)*(2*f - 1)/4
Let c = 36 + -34. Let v = 56/3 - 380/21. Factor 0*j**c - v - 6/7*j + 2/7*j**3.
2*(j - 2)*(j + 1)**2/7
Let a be 1 - 1 - 1 - -4. Suppose -x - 4 = -a*x. Factor 8*d**3 - d**5 - 2*d**3 - 3*d**3 + 0*d - x*d + d**2 - d**4.
-d*(d - 1)**2*(d + 1)*(d + 2)
Let j be (-7)/14*3/6*0. Let i(t) be the third derivative of j*t**4 + 0*t**3 - 1/180*t**5 - 4*t**2 - 1/360*t**6 + 0 + 0*t. Factor i(m).
-m**2*(m + 1)/3
Let f(z) = -8*z**5 + 8*z**3 - 6*z. Let u(b) = 7*b**5 - 7*b**3 + 5*b. Let n(r) = 5*f(r) + 6*u(r). Find c, given that n(c) = 0.
-1, 0, 1
Let h be -10 + 14 + -7 + (-11)/(-3). Let -1/3*s**2 + 0 - h*s = 0. Calculate s.
-2, 0
Let d(g) = 3*g**2 + 2*g + 4. Let r(p) = -10*p**2 - 6*p - 12. Let i(q) = 16*d(q) + 5*r(q). Factor i(l).
-2*(l - 2)*(l + 1)
Let o(j) be the third derivative of -j**8/2240 + j**6/480 - j**3/3 + 3*j**2. Let g(w) be the first derivative of o(w). Find f such that g(f) = 0.
-1, 0, 1
Let h be ((120/9)/10)/(4/6). Let k(a) = a**2 - 1. Let b be k(2). Find l such that 0 + 0*l**h + 2/7*l**b - 2/7*l = 0.
-1, 0, 1
Let 0*x - 2/3*x**3 + 0 + 2/3*x**2 = 0. Calculate x.
0, 1
Let k(m) = -7*m**4 + 2*m**3 - 10*m**2 - 6*m. Let d(w) = -20*w**4 + 5*w**3 - 29*w**2 - 17*w. Let l(i) = 6*d(i) - 17*k(i). Determine h so that l(h) = 0.
-2, 0
Let i(d) be the third derivative of d**6/220 - 2*d**5/165 - d**4/33 - 49*d**2. Find l, given that i(l) = 0.
-2/3, 0, 2
Suppose 8 = -k + 4*p, 0*p = k - 5*p + 11. Let v(f) be the second derivative of -1/15*f**6 + 0*f**3 + 0 + 0*f**2 - 1/5*f**5 - f - 1/6*f**k. Factor v(a).
-2*a**2*(a + 1)**2
Let l(h) be the second derivative of h**6/160 + 7*h**5/240 + 5*h**4/96 + h**3/24 + h**2 + h. Let f(o) be the first derivative of l(o). What is r in f(r) = 0?
-1, -1/3
Let k(z) = -2*z**4 + 2*z**3 - 10*z**2 + 2*z + 4. Let j(t) = t**3 + t**2 - 1. Let y(i) = 4*j(i) + k(i). Factor y(l).
-2*l*(l - 1)**3
Let n(x) = 4*x + 6. Let o(d) be the third derivative of -d**5/60 + 11*d**4/24 + 19*d**3/6 - d**2. Let a(m) = -7*n(m) + 2*o(m). Let a(s) = 0. Calculate s.
-2, -1
Let w be (-4)/(-12) - (10/(-6) + 0). Let k(b) be the third derivative of 1/180*b**5 + 0*b + 0*b**4 + 0*b**3 - 3*b**w - 1/630*b**7 + 0*b**6 + 0. Factor k(r).
-r**2*(r - 1)*(r + 1)/3
Suppose -33 = -12*m + 15. Factor 0*j + 2/9*j**5 + 0 + 0*j**3 - 2/9*j**m + 0*j**2.
2*j**4*(j - 1)/9
Let q(i) be the second derivative of -i**6/10 + 3*i**5/5 - 5*i**4/4 + i**3 + 8*i. Factor q(c).
-3*c*(c - 2)*(c - 1)**2
Let a(v) be the first derivative of v**4 + 20*v**3/3 + 16*v**2 + 16*v - 30. Solve a(y) = 0 for y.
-2, -1
Factor -112/11*u**4 + 6*u**3 + 0 + 32/11*u**5 + 8/11*u + 56/11*u**2.
2*u*(u - 2)**2*(4*u + 1)**2/11
Let x be 5682/8*10/525. Let r = x + -121/10. Factor 0 - r*n**2 + 4/7*n.
-2*n*(5*n - 2)/7
Let a(q) be the third derivative of 2*q**5/15 + q**4/2 + 2*q**2. Solve a(j) = 0 for j.
-3/2, 0
Solve 2*z - 23*z**3 + 9*z**3 + 3*z**5 + 4*z**2 - 3*z**2 - z**4 + 9*z**3 = 0.
-1, -2/3, 0, 1
Let m(c) be the first derivative of c**7/245 - c**6/420 - c**5/105 + c**2 + 1. Let h(a) be the second derivative of m(a). Factor h(f).
2*f**2*(f - 1)*(3*f + 2)/7
Suppose -3*z - 4*b - 8 = 0, 5*z = -2*b - 4 - 0. Let l(d) be the third derivative of 0*d**3 - 1/48*d**4 - 1/60*d**5 + z*d + 3*d**2 + 0. What is g in l(g) = 0?
-1/2, 0
Let q be (-4)/(4/5) + 7. Factor 2/15*c**4 + 0*c**q + 2/15*c**3 + 0 + 0*c.
2*c**3*(c + 1)/15
Suppose 0 = -16*g + 2*g + 28. Determine n so that -2/9*n**4 + 2/9*n**g + 2/9*n**3 - 2/9*n**5 + 0 + 0*n = 0.
-1, 0, 1
Let t = 13 + -11. Suppose -t*d - 3*d + 10 = 0. Factor 0 - 7/2*h**d + h.
-h*(7*h - 2)/2
Let l = -383 - -383. Find t such that 44/3*t**2 + l + 20*t**3 + 8/3*t = 0.
-2/5, -1/3, 0
Suppose -2/3*s**2 + 2/9*s**3 + 6 - 2*s = 0. Calculate s.
-3, 3
Suppose -g + 2 + 3 = 0. Suppose 12 = 5*m - g*t - 13, -3*t = 6. Factor 2/3*o + 2/3*o**5 - 4/3*o**2 + 2/3*o**4 + 2/3 - 4/3*o**m.
2*(o - 1)**2*(o + 1)**3/3
Let k be ((-2)/(-5))/(-7 + 9). Let g(y) be the second derivative of -1/30*y**4 + k*y**2 + 1/15*y**3 - 1/50*y**5 + 2*y + 0. Factor g(o).
-2*(o - 1)*(o + 1)**2/5
Let m be 1/1*0/5. Let r(i) be the third derivative of 1/36*i**4 + m*i + 0*i**3 - 1/36*i**5 - i**2 + 0. Factor r(p).
-p*(5*p - 2)/3
Let d(j) = 5*j**4 + 2*j**2 + 8*j + 1. Let y(m) = 4*m**4 - m**3 + 2*m**2 + 7*m. Let i(a) = 3*d(a) - 4*y(a). Factor i(q).
-(q - 3)*(q - 1)**2*(q + 1)
Let g(a) be the first derivative of a**8/336 - a**7/105 + a**5/30 - a**4/24 + a**2/2 + 1. Let s(d) be the second derivative of g(d). Find y such that s(y) = 0.
-1, 0, 1
Let t(w) be the second derivative of 11/12*w**4 + 0 - 4*w - 2*w**2 - 3/20*w**5 - 4/3*w**3. Factor t(a).
-(a - 2)**2*(3*a + 1)
Let d be (-3)/(3/2) + 68. Suppose 0 = -5*z - 20, -c + 3*z = -42 - d. Factor 4*q**4 + 6 + 56*q + 162*q**2 + 48*q**3 + c*q**3 + 28*q**4.
2*(q + 1)*(q + 3)*(4*q + 1)**2
Suppose -5*z - 3*z**3 - 8*z**2 - 19*z + 26*z**2 - 3*z = 0. Calculate z.
0, 3
Let x(p) = -2*p - 3. Let r be x(-3). Factor 4*j**2 - j**5 + 5*j**4 - 6*j**r - j**4 - j + 0*j.
-j*(j - 1)**4
Let i(a) be the third derivative of a**7/1155 + 2*a**6/165 + 7*a**5/330 + 2*a**2 + 11*a. Factor i(y).
2*y**2*(y + 1)*(y + 7)/11
Let w(g) be the third derivative of g**5/360 - 5*g**4/144 + g**3/6 - 3*g**2. Find b such that w(b) = 0.
2, 3
Let r = 1/7195 + 13913/3432015. Let b = 1898/2385 + r. What is j in b*j**2 + 2/5 - 4/5*j**3 - 2/5*j**5 - 6/5*j**4 + 6/5*j = 0?
-1, 1
Let r(f) be the third derivative of -f**8/60480 + f**5/30 + 2*f**2. Let c(i) be the third derivative of r(i). Factor c(o).
-o**2/3
Let t(v) be the third derivative of -v**6/240 - 3*v**5/40 - v**4/2 - 4*v**3/3 + 11*v**2. Suppose t(f) = 0. What is f?
-4, -1
Let h(i) = -i**3 - 3*i**2 + 2*i - 5. Let l be h(-4). Factor -4*f**2 - f**4 - 2*f**2 + 3*f**l + 4*f**4.
3*f**2*(f - 1)*(f + 2)
Let p = -248 + -112. Let a = 2528/7 + p. Solve a*x**2 + 10/7*x + 4/7 + 2/7*x**3 = 0 for x.
-2, -1
Let j(h) be the second derivative of 49*h**6/6 - 77*h**5/4 + 40*h**4/3 - 10*h**3/3 - 14*h. Factor j(y).
5*y*(y - 1)*(7*y - 2)**2
Suppose -5*n + 43 + 47 = 0. Let c be (3/6)/(n/8). Factor -4/9 + 2/3*j**2 - c*j.
2*(j - 1)*(3*j + 2)/9
Let i(n) = 2*n**2 - 4*n + 12. Let o(d) = -d**2. Let v(z) = -i(z) - 3*o(z). Suppose v(y) = 0. What is y?
-6, 2
Let z = 56 - 56. Let g(c) be the first derivative of 1/9*c**3 + 1/6*c**2 + z*c + 4. Find u, given that g(u) = 0.
-1, 0
Let t(x) be the second derivative of 2*x**6/15 - 3*x**5/5 + 2*x**4/3 - 28*x. Solve t(c) = 0.
0, 1, 2
Factor 0 - 2*b**2 + 2/5*b**3 + 8/5*b.
2*b*(b - 4)*(b - 1)/5
Find m, given that 9 - 12*m + 3*m - 3*m + 3*m**2 = 0.
1, 3
Factor 0 + o + 1/3*o**2.
o*(o + 3)/3
Let n(o) be the first derivative of 3*o**4 - 35*o**3/3 + 12*o**2 - 4*o - 66. Determine q, given that n(q) = 0.
1/4, 2/3, 2
Let s(n) = -n**3 + n**2 - 2. Let g(b) = 3*b - 12*b**2 + 1 + 11*b**2 - 3*b. Let d be 2/8 - (-25)/(-4). Let j(m) = d*g(m) + 3*s(m). Factor j(u).
-3*(u - 2)**2*(u + 1)
Let x = 22099/21270 - 4/709. Let d = 3/10 + x. Determine i so that 2/9*i**3 + 8/3*i + d*i**2 + 16/9 = 0.
-2
Let h(i) = -i**5 + 5*i**4 + 7*i**3 + 5*i**2 + 4*i + 2. Let b(o) = o**5 + o**3 + o**2 - o - 1. Let j(f) = -6*b(f) - 3*h(f). Find n such that j(n) = 0.
-2, -1, 0
Suppose -n + 12 = 2*n. Suppose -15 = l + 3*l + 5*p, 12 = -n*l - 4*p. Factor 0*u**2 + l - 2/9*u**3 + 0*u.
-2*u**3/9
Let l(h) = 326*h**3 - 506*h**2 - 270*h - 34. Let m(q) = -q**3 + q**2 - q +