(d) - 11*y(d). Factor m(j).
(j + 1)*(j + 2)
Let s(z) be the first derivative of -5*z**6/24 - 3*z**5/20 + 7*z**4/16 + z**3/4 - z**2/4 - 202. Let s(u) = 0. Calculate u.
-1, 0, 2/5, 1
Let n(m) be the third derivative of 1/36*m**4 + 0 - m**2 - 1/1080*m**6 + 0*m - 1/360*m**5 + 1/3*m**3. Let k(d) be the first derivative of n(d). Factor k(o).
-(o - 1)*(o + 2)/3
Suppose y - 6 = -1. Factor -y*z**2 + 2*z**2 - 3*z**4 + 4*z**4 + 2*z**4.
3*z**2*(z - 1)*(z + 1)
Factor 1209*r**4 + 3*r**2 - 10 + 12*r + r - 1210*r**4 - 5*r**3.
-(r - 1)**2*(r + 2)*(r + 5)
Suppose 2*w = 5*w + 8*c + 10, 3*w + c = 4. Suppose -4/3*h**w + 1 - 11/3*h = 0. What is h?
-3, 1/4
Let u(p) = -7*p**2 - 76*p + 13. Let v be u(-11). Find a, given that -3*a**4 + 9*a**4 - 7*a**2 + a**5 + 9*a**3 - 11*a**4 + v*a = 0.
0, 1, 2
Let p(q) be the second derivative of -q**9/756 + q**7/35 + 4*q**6/45 + q**5/10 - 17*q**3/3 + q. Let x(h) be the second derivative of p(h). Solve x(k) = 0 for k.
-1, 0, 3
Let s(v) be the second derivative of -7*v**6/150 + v**5/20 + 37*v**4/60 + 31*v**3/30 + 3*v**2/5 - 159*v. Solve s(q) = 0.
-1, -2/7, 3
Let i = 44779/5 + -8955. Suppose -1/5*q**5 + 0*q**3 + 16/5*q - 16/5*q**2 + 0 + i*q**4 = 0. What is q?
-2, 0, 2
Let q(m) be the second derivative of m**9/5040 + m**8/448 + m**7/120 + m**6/80 - 7*m**4/6 + 26*m. Let w(n) be the third derivative of q(n). Factor w(y).
3*y*(y + 1)**2*(y + 3)
Factor -56*s**2 + 1416*s - 1332*s - 2*s**3 - 2*s**3 + 13*s**3 - 16.
(s - 4)*(s - 2)*(9*s - 2)
Let w(y) be the third derivative of -y**6/280 - 289*y**5/140 - 2628*y**4/7 - 10368*y**3/7 - 396*y**2. Factor w(j).
-3*(j + 1)*(j + 144)**2/7
Let f(w) = -6*w**2 + 2*w - 1. Let m be f(2). Let d be (-91)/m + (-4)/(-6). Suppose 0*n**3 + 0*n + 0*n**2 + 0 - 2/5*n**4 - 2/5*n**d = 0. Calculate n.
-1, 0
Let h(j) = -j + 4. Let x be h(2). Let i be (x - 8/4) + (-2)/(-3). Factor 6 + 4*a + i*a**2.
2*(a + 3)**2/3
Let c be ((-1)/9)/(32/(-6) - -5). Let -4/3*t - c*t**2 - 4/3 = 0. What is t?
-2
Let l(n) = -n**2 - 5*n - 3. Let d be l(-2). Let w be -8 - -5 - 510/(-105) - 1. Factor -w*j + 2/7*j**2 - 4/7 + 2/7*j**4 + 6/7*j**d.
2*(j - 1)*(j + 1)**2*(j + 2)/7
Let c(a) be the first derivative of 0*a + 1/30*a**5 + 3 + 2/3*a**3 + 1/4*a**4 - 5/2*a**2. Let u(n) be the second derivative of c(n). Factor u(z).
2*(z + 1)*(z + 2)
Let x(q) be the first derivative of 7*q**4/6 - 116*q**3/9 + 121*q**2/3 - 20*q - 64. Factor x(w).
2*(w - 5)*(w - 3)*(7*w - 2)/3
Let o(g) = -10*g**2 + 150*g + 75. Let f(r) = -r - 1. Let j(m) = -5*f(m) + o(m). Solve j(z) = 0 for z.
-1/2, 16
Solve 20*t**2 + 455*t**3 + 1088*t**4 + 1280*t**5 - 2*t**2 - 179*t**3 = 0.
-3/8, -1/10, 0
Let n(b) = -b + 17. Let y be n(13). Let q(j) be the second derivative of 0*j**3 + 3*j - 1/12*j**y + 0*j**2 + 0. Determine w, given that q(w) = 0.
0
Let b be (8 + 1)/(-1 - -2). Let o = -115 + 118. Factor -2*r - r**3 + 13*r**2 - b*r**o - 3*r**3 + 2*r**3.
-r*(r - 1)*(11*r - 2)
Let u = -110 + 110. Let n(m) be the third derivative of 0 - 9/40*m**6 + 0*m**3 - 3*m**2 - 1/10*m**5 - 1/10*m**7 + u*m**4 + 0*m. Solve n(q) = 0.
-1, -2/7, 0
Let f = 9413 + -65867/7. Determine r, given that -11/7*r**2 - f*r + 36/7 - 1/7*r**3 = 0.
-6, 1
Suppose 5*m + 4*k - 1 = 1, -2 = -3*m - 2*k. Factor 7*h + 107*h**2 - 81*h**3 + 10*h**m + 4 - 19*h - 28*h.
-(h - 1)*(9*h - 2)**2
Factor 64*a - 60 - 8*a + 12 - 12*a**2 - 6*a**3 + a**4 + a**4.
2*(a - 2)**3*(a + 3)
Let i(l) be the second derivative of l**7/420 + 7*l**6/180 + l**5/10 - 4*l**3/3 + 41*l. Let f(n) be the second derivative of i(n). Factor f(s).
2*s*(s + 1)*(s + 6)
Let h be ((-4)/80)/((-120)/2700). Let -3/8*n + 3/8*n**4 - 9/8*n**3 + 0 + h*n**2 = 0. What is n?
0, 1
Let z(t) be the second derivative of -t**7/2520 + t**5/120 - t**4/6 + 7*t. Let g(m) be the third derivative of z(m). Let g(d) = 0. What is d?
-1, 1
Let c(x) = -6*x**5 + 27*x**4 + 87*x**3 + 135*x**2 + 69*x. Let w(t) = -3*t**5 + 27*t**4 + 88*t**3 + 134*t**2 + 70*t. Let o(v) = 2*c(v) - 3*w(v). Factor o(z).
-3*z*(z + 2)**3*(z + 3)
Let t(j) be the first derivative of -5*j**4/12 - 25*j**3/3 - 125*j**2/2 - 4*j - 17. Let g(c) be the first derivative of t(c). Factor g(a).
-5*(a + 5)**2
What is f in 1/2*f**2 - 8 + 15/2*f = 0?
-16, 1
Let j(x) = 5*x**3 + 16*x**2 + 9*x - 9. Let k(l) = -l**3 - 4*l**2 - 2*l + 2. Suppose -2*h + 0*t = -2*t - 34, 3 = 3*t. Let n(s) = h*k(s) + 4*j(s). Factor n(v).
2*v**2*(v - 4)
Let m = -4 - -8. Factor -16*j**2 - 2 + 12*j**2 + m*j**4 + 4*j**3 - 4*j**5 + 2.
-4*j**2*(j - 1)**2*(j + 1)
Factor -d**2 + 16/3*d - 4 - 1/3*d**3.
-(d - 2)*(d - 1)*(d + 6)/3
Let d(v) = v**2 - 9*v + 17. Let z be d(7). Suppose -6*c**3 - 9*c**3 - 3*c**4 + z*c**2 + 0*c**4 + 6*c**3 + 9*c**5 = 0. What is c?
-1, 0, 1/3, 1
Solve -145*t**2 + 214*t - t**3 + 442*t**2 - 228*t**2 + 144 = 0.
-2, -1, 72
Factor 18*k**3 - 13*k**3 - 5*k + 10 + 0 - 10*k**2.
5*(k - 2)*(k - 1)*(k + 1)
Let q = -2696 - -13482/5. Factor -q*d - 1/5*d**2 - 1/5.
-(d + 1)**2/5
Suppose -2*h + 16 = 2*r, -2*h + 0*h + 22 = 4*r. Solve 4/9*a - 4/9*a**r + 4/9*a**2 + 0 - 4/9*a**4 = 0 for a.
-1, 0, 1
Let a(s) = -s**2 + 7*s - 4. Let x be a(5). Let f be (-20)/x*75/(-125). Factor 2/3*z**f + 4/3*z + 2/3.
2*(z + 1)**2/3
Let q(z) be the first derivative of -1/7*z**3 - 2 - 1/21*z**4 - 3*z**2 + 0*z - 1/210*z**5. Let o(g) be the second derivative of q(g). Factor o(c).
-2*(c + 1)*(c + 3)/7
Suppose -4*r - 5 + 31 = -5*d, -3*d = -4*r + 30. Suppose -r = -f - 5. Find t such that -2*t**2 + 2*t - 2*t**3 + f*t - 6 + 4*t = 0.
-3, 1
Let c be (-2 + 236/48 + -3)/((-46)/184). Determine z so that c + 1/9*z**2 - 4/9*z = 0.
1, 3
Let s(t) = t**3 + t**2 - 3*t + 2. Let f be s(0). Let l(w) be the first derivative of -3/2*w**2 + 3/4*w**4 + w**3 + f - 3*w. Determine x so that l(x) = 0.
-1, 1
Let t(c) be the second derivative of -c**7/5040 + c**6/1080 + c**5/180 + c**4/6 - 16*c. Let j(r) be the third derivative of t(r). Suppose j(q) = 0. What is q?
-2/3, 2
Let s(k) = k**2 - 6*k - 52. Let o be s(-5). Factor -2/13*b + 4/13 + 2/13*b**o - 4/13*b**2.
2*(b - 2)*(b - 1)*(b + 1)/13
Let a = 4 - -1. Factor 136*j**3 + 132*j**3 + 27*j**a + 96*j + 9*j**5 + 228*j**2 + 16 + 156*j**4.
4*(j + 1)**3*(3*j + 2)**2
Factor -65*n + 138*n - 69*n - 4*n**2.
-4*n*(n - 1)
Let y(t) be the first derivative of -t**3/24 - 25*t**2/16 - 33*t/4 - 88. Factor y(c).
-(c + 3)*(c + 22)/8
Let t(r) = 11*r**3 + r**2 - r. Let v(i) = -196*i**3 - 10*i**2 + 28*i + 4. Let x(s) = -36*t(s) - 2*v(s). Factor x(j).
-4*(j + 1)**2*(j + 2)
Suppose 0*j**2 - 2/3*j**4 + 0 + 0*j + 2/3*j**3 = 0. Calculate j.
0, 1
Let q(p) be the second derivative of -p**4/4 - 6*p**3 - 33*p**2/2 - p - 19. Factor q(w).
-3*(w + 1)*(w + 11)
Suppose 0 = -6*s - 5 - 19. Let d be s/1 - ((-288)/(-10))/(-4). Factor -d + 56/5*c + 2*c**3 - 44/5*c**2.
2*(c - 2)**2*(5*c - 2)/5
Let a(n) = -n**3 + 8*n**2 - n + 10. Let w be a(8). Suppose -4*j + x = -2*j, 0 = -w*x. Let j + 0*d**2 - 1/3*d + 1/3*d**3 = 0. What is d?
-1, 0, 1
Suppose -12 = -29*v + 26*v. Determine s, given that 2*s**2 - v*s**2 - 547 - 50*s - 31 - 18*s = 0.
-17
Let z be 0 + 3 + (-1)/1. Let w(m) be the second derivative of -1/27*m**3 + 0 - 4*m + 2/9*m**z - 1/18*m**5 - 4/27*m**4. Let w(v) = 0. Calculate v.
-1, 2/5
Let a be (1 - (-1 + (3 - 2)))*5. Let r(w) = -w**2 + 5*w + 2. Let g be r(a). Factor -8/5 + 8/5*z**3 + 2/5*z**4 - 8/5*z + 6/5*z**g.
2*(z - 1)*(z + 1)*(z + 2)**2/5
Let g(s) be the first derivative of 22*s**5/5 - 10*s**4 + 14*s**3/3 + 2*s**2 + 92. Find q such that g(q) = 0.
-2/11, 0, 1
Let b(i) be the second derivative of 3/160*i**5 + 0*i**2 - 11*i - 1/16*i**3 + 0 + 0*i**4. Factor b(p).
3*p*(p - 1)*(p + 1)/8
Suppose -2*w - 31 + 39 = 0. Factor 6 + 10 - w + 3*g**2 + 22*g + 2*g - 9*g**3.
-3*(g - 2)*(g + 1)*(3*g + 2)
Let x(l) be the first derivative of -l**9/15120 + l**8/2100 - l**7/1400 + 13*l**3/3 - 11. Let r(k) be the third derivative of x(k). Factor r(d).
-d**3*(d - 3)*(d - 1)/5
Let k(j) = -j + 14. Let o be k(6). Factor -o*v + 0 + 3*v**2 + 6 - 2.
(v - 2)*(3*v - 2)
Let j(q) = q + 20. Let v(x) = -x**3 - 7*x**2. Let s be v(-7). Let o be j(s). Determine g, given that o - 24*g + 3*g**2 - 18 + 4 + 42 = 0.
4
Let r be 6/((-25)/200 - 249/(-72)). Factor -r*s**2 + 3/5*s**3 + 0 + 6/5*s.
3*s*(s - 2)*(s - 1)/5
Let b(r) = -3*r - 2. Let x be b(-2). Suppose -y - 12 + 3 = -2*g, -2*y = x*g - 22. Factor -g*v**3 + v**5 + 2*v**3 - 2*v + v**3 + 3*v.
v*(v - 1)*