 2 - 2/5*l**2 - 6/5*l. Suppose b(t) = 0. Calculate t.
-1, 3
Factor -12*w**2 + 5*w**3 + 10*w**3 + 2*w - 6*w**4 + 2*w**2 - w**3.
-2*w*(w - 1)**2*(3*w - 1)
Let c(g) be the third derivative of -g**7/189 + 7*g**6/540 - g**5/135 - 6*g**2. Determine j, given that c(j) = 0.
0, 2/5, 1
Let v(p) be the first derivative of -p**5/270 + p**4/108 + p**2 - 4. Let x(b) be the second derivative of v(b). Factor x(m).
-2*m*(m - 1)/9
Let a(p) be the third derivative of 5*p**8/672 - p**6/24 + 5*p**4/48 + 2*p**2. Suppose a(y) = 0. Calculate y.
-1, 0, 1
Let y(r) be the first derivative of 2*r**6/9 - 8*r**5/15 - r**4 + 6. Determine z so that y(z) = 0.
-1, 0, 3
Let o = 2 - 0. Factor b**o + 0 + 2 + 2 - 3*b - b.
(b - 2)**2
Let p(l) = l**3 - l - 1. Let a(i) = 2*i**3 - 14*i**2 + 10*i + 8. Let x(d) = a(d) + 6*p(d). What is v in x(v) = 0?
-1/4, 1
Let r = -255 - -1021/4. Factor -3/2*w**3 + w**2 - 1/4*w**5 - r*w + 0 + w**4.
-w*(w - 1)**4/4
Suppose 3*b = -2 + 17. Let -5 - 3 + i + 4 + b*i - 2*i**3 = 0. Calculate i.
-2, 1
Suppose 0 = -3*c - 4*j + 8, -3*c - 2*j = -5*c - 4. Factor 4/5*a - 2/5*a**2 + c.
-2*a*(a - 2)/5
Let q be 3/(-1 - 2/4). Let y be (4 + q - 3)*-2. What is k in 4*k**2 - 3*k**y + 0*k**2 = 0?
0
Let t(k) be the third derivative of 10*k**2 - 1/6*k**3 + 0 + 1/60*k**6 + 0*k + 1/60*k**5 - 1/12*k**4. Let t(z) = 0. Calculate z.
-1, -1/2, 1
Let h(d) be the third derivative of -d**8/112 - d**7/70 + 3*d**6/40 + d**5/20 - d**4/4 - 5*d**2. Solve h(c) = 0.
-2, -1, 0, 1
Let l = -21 + 24. Let b be 28/40 - (-2)/(-4). Determine q, given that 1/5*q**2 + 1/5*q**l + 0*q - b*q**4 - 1/5*q**5 + 0 = 0.
-1, 0, 1
Let s(x) = 0 - 4 - 7 - 6 + 18*x**2 - x. Let a(o) = -9*o**2 + o + 8. Let l(q) = 5*a(q) + 2*s(q). Let l(z) = 0. What is z?
-2/3, 1
Let r(w) = -w**3 + 2*w**2 + 5*w - 3. Let o be r(3). Find n such that 80/3*n - 45*n**4 + 0*n**o + 40*n**2 - 27*n**5 + 16/3 = 0.
-2/3, 1
Let h(o) = -8*o**3 + 14*o**3 - o**2 - 4*o**3 + 2*o. Let i be h(2). Solve 8*f**2 + 0 - 8/9*f - 194/9*f**3 + i*f**4 - 32/9*f**5 = 0.
0, 1/4, 2
Let l(c) = -c**4 - 29*c**3 + 7*c**2 + 35*c - 3. Let o(g) = 6*g**4 + 146*g**3 - 34*g**2 - 174*g + 14. Let f(r) = 14*l(r) + 3*o(r). Factor f(h).
4*h*(h - 1)*(h + 1)*(h + 8)
Let p(g) be the third derivative of g**6/120 - g**4/8 + g**3/3 - 12*g**2. Factor p(s).
(s - 1)**2*(s + 2)
Let y(m) be the second derivative of -m**7/336 - 7*m**6/240 - 10*m. Let y(j) = 0. What is j?
-7, 0
Let t(p) be the second derivative of -p**8/16800 + p**7/3150 - 7*p**4/12 - 2*p. Let u(d) be the third derivative of t(d). Let u(y) = 0. What is y?
0, 2
Let c(k) be the first derivative of k**4/14 - 2*k**3/7 + 2*k**2/7 - 28. Factor c(d).
2*d*(d - 2)*(d - 1)/7
Let x = -3 - 15. Let n be 4/x*(-16)/16. Factor -2/9*o**2 + 0 + n*o.
-2*o*(o - 1)/9
Let x(z) = -z**3 - 2*z**2 + z. Let s be x(-2). Let y(i) = -i**3 - i**2 + 3*i + 2. Let u be y(s). Let -2/7 + 2/7*n**2 + u*n = 0. Calculate n.
-1, 1
Find d, given that 2/7*d**4 + 0*d**3 + 0*d - 2/7*d**2 + 0 = 0.
-1, 0, 1
Let f(y) = -12*y**2 - 6*y + 10. Let v(b) = 11*b**2 + 5*b - 10. Let a(w) = 3*f(w) + 4*v(w). Let a(z) = 0. Calculate z.
-5/4, 1
Suppose 12*w - 19*w = 0. Let w*c + 1/5 - 1/5*c**2 = 0. Calculate c.
-1, 1
Let o(n) be the second derivative of -n**3/6 - 7*n**2/2 - n. Let y be o(-8). Find l, given that -l**3 + 4*l**3 + 3*l**4 - 3*l - 3*l**2 - y + 1 = 0.
-1, 0, 1
Let v(p) be the first derivative of -p**7/5880 - p**6/2520 + p**5/420 - 4*p**3/3 - 5. Let w(a) be the third derivative of v(a). Factor w(l).
-l*(l - 1)*(l + 2)/7
Let z(x) = -x**2 + 4. Let j(t) = 5*t**2 - 20. Let u(i) = -2*j(i) - 11*z(i). Factor u(k).
(k - 2)*(k + 2)
Let z(k) = 6*k**5 + k**4 + 10*k**3 - k**2 - 2*k + 7. Let w(b) = 5*b**5 + b**4 + 9*b**3 - b**2 - 2*b + 6. Let y(p) = 7*w(p) - 6*z(p). Factor y(q).
-q*(q - 2)*(q - 1)*(q + 1)**2
Let t(b) = b**3 + 7*b**2 + 7*b - 2. Let k be t(-6). Let g(s) = -s**3 - 9*s**2 - 9*s - 5. Let d be g(k). Factor 2 + 8*l - 8*l**d - 15*l**2 - 2 - 1 + 16*l**4.
(l - 1)*(l + 1)*(4*l - 1)**2
Let s(f) = -314*f**4 - 1034*f**3 - 958*f**2 - 276*f - 38. Let u(i) = 105*i**4 + 345*i**3 + 319*i**2 + 92*i + 13. Let z(m) = -5*s(m) - 14*u(m). Factor z(j).
4*(j + 1)*(j + 2)*(5*j + 1)**2
Let n(m) be the third derivative of 2*m**7/21 + 13*m**6/30 - 2*m**5/5 - 10*m**4/3 + 16*m**3/3 + 24*m**2. Solve n(s) = 0.
-2, 2/5, 1
Let q(x) = x**2 - 4*x + 2. Suppose 3*a = s - 0*s - 10, 2*s - 2*a = 12. Let d be q(s). Factor -2/5*l**d - 2/5*l + 0.
-2*l*(l + 1)/5
Let t = 67/6 - 29/3. Let j(z) be the first derivative of -5/2*z**2 + t*z**3 + 2*z + 1/20*z**5 - 1 - 7/16*z**4. Find k such that j(k) = 0.
1, 2
Let t(b) be the second derivative of b**4/48 + b**3/12 - 3*b**2/8 - 4*b. Suppose t(d) = 0. Calculate d.
-3, 1
Let a(b) be the third derivative of b**9/756 - b**7/210 + b**3 + 4*b**2. Let v(y) be the first derivative of a(y). Determine i so that v(i) = 0.
-1, 0, 1
Let j be (1 + 1)*1 + 1. Factor 5*f**2 - 2*f + f**4 + f**j - 6*f**2 + f**3.
f*(f - 1)*(f + 1)*(f + 2)
Determine c, given that 3*c + 3*c**2 + c - c**2 - 5*c - 10 = 0.
-2, 5/2
Let y = 413 + -411. Determine h so that 4/13*h - 2/13*h**4 - 6/13*h**3 + 0 + 2/13*h**y + 2/13*h**5 = 0.
-1, 0, 1, 2
Let b(p) = p**2 - 15*p - 19. Let d(z) = -16*z - 20. Let h(i) = -4*b(i) + 3*d(i). Factor h(n).
-4*(n - 4)*(n + 1)
Let c = 25 - 21. Let d be c + -8 + 6 + 0. Suppose 1/4 - 1/4*k**3 + 3/4*k**d - 3/4*k = 0. Calculate k.
1
Suppose -4*p + 3*r + 17 = 0, -2*p = 8*r - 4*r + 8. Let s = 0 - -3. Determine x, given that 21/2*x**5 + 0*x + 12*x**s + 0 - 41/2*x**4 - p*x**2 = 0.
0, 2/7, 2/3, 1
Let y(p) be the second derivative of p**6/75 - 2*p**5/25 + p**4/10 + 4*p**3/15 - 4*p**2/5 + 3*p. Solve y(g) = 0.
-1, 1, 2
Let m(n) be the first derivative of -196*n**3/3 - 112*n**2 - 64*n - 4. Suppose m(d) = 0. What is d?
-4/7
Let z(j) be the second derivative of 1/4*j**4 + 0 + 0*j**2 + 3/40*j**5 + 6*j + 1/4*j**3. Factor z(b).
3*b*(b + 1)**2/2
Let n be 24/27 + 4/(-6). Let i(a) = -a**2 - 2*a. Let k be i(-2). Factor -2/9*u**2 - n*u + k.
-2*u*(u + 1)/9
Solve 4*a - 12*a**2 + 4*a**2 + 8*a**4 - 8*a + 4*a**5 = 0.
-1, 0, 1
Factor -6/7*q**3 - 9/7*q**2 + 12/7 + 12/7*q + 3/7*q**4.
3*(q - 2)**2*(q + 1)**2/7
Let m = -1 - -5. Factor 23*c**2 - 2*c - 23*c**2 - 2*c**3 + m*c.
-2*c*(c - 1)*(c + 1)
Let h(v) be the third derivative of v**6/60 - 2*v**5/15 + v**4/3 - v**2. Factor h(r).
2*r*(r - 2)**2
Let i = 71 - 495/7. Solve 0*t + i*t**2 - 2/7 = 0 for t.
-1, 1
Suppose -22 = 2*t + 26. Let q be (5/(-10))/(2/t). Determine m so that -2*m + m**3 - 2*m**2 + 6*m + q*m**2 = 0.
-2, 0
Let v(h) be the third derivative of -h**7/210 + h**6/240 - h**4/6 + 2*h**2. Let m(c) be the second derivative of v(c). Let m(g) = 0. What is g?
0, 1/4
Let o be 0 + 3 - (-6036)/(-2016). Let t(v) be the third derivative of 2*v**2 + 0*v**3 + 0*v**6 + 0*v**5 + 0*v + 0*v**4 + 0 + 1/315*v**7 + o*v**8. Factor t(u).
2*u**4*(3*u + 1)/3
Let g(i) be the first derivative of -i**5/110 - i**4/66 - 3*i + 3. Let z(b) be the first derivative of g(b). Suppose z(d) = 0. What is d?
-1, 0
Let o(n) be the third derivative of -n**8/10080 + n**7/2520 - n**5/30 + 2*n**2. Let h(k) be the third derivative of o(k). Factor h(i).
-2*i*(i - 1)
Suppose -x - 6 = 2*g + 1, -5 = -2*g + 3*x. Let c be (g + -7)*(-6)/18. Find y such that 1/4*y**c + 0*y**2 + 0 - 1/4*y = 0.
-1, 0, 1
Let b(r) = 3*r**4 + 3*r**3 + r**2 - r. Let v(q) = 7*q**4 + 6*q**3 + 2*q**2 - q + 1. Let p(f) = -5*b(f) + 2*v(f). Determine w, given that p(w) = 0.
-2, -1, 1
Let k(t) = -t**2 + 10*t - 4. Let l be k(8). Factor 0*q - 5 + 2*q**2 + 17 + q**2 + l*q.
3*(q + 2)**2
Factor 1/3*m**3 + 0 - 1/3*m**2 + 0*m.
m**2*(m - 1)/3
Let h(p) be the third derivative of 0*p + 1/180*p**5 + 1/630*p**7 + 5*p**2 + 0*p**4 + 1/180*p**6 + 0*p**3 + 0. Factor h(j).
j**2*(j + 1)**2/3
Let q(l) be the first derivative of 1/4*l**2 - 1/8*l**4 - 1/2*l + 3 + 1/6*l**3. Determine j so that q(j) = 0.
-1, 1
Factor 4/7*x**2 - 2/7 + 0*x**3 - 2/7*x**4 + 0*x.
-2*(x - 1)**2*(x + 1)**2/7
Suppose 0 = 2*l + 2*s - 6, -3*s + 17 - 4 = 5*l. Factor -2/3*n + 0 - 4/3*n**l - 2/3*n**3.
-2*n*(n + 1)**2/3
Let f = -72 - -74. Find x, given that 6/5*x**f + 1/5*x + 9/5*x**3 + 0 + 4/5*x**4 = 0.
-1, -1/4, 0
Let z(s) be the third derivative of -2/21*s**3 + 1/98*s**8 + 0 - 11/84*s**4 - 1/420*s**6 - 5*s**2 + 4/147*s**7 + 0*s - 3/35*s**5. Let z(m) = 0. What is m?
-1, -2/3, -1/2, 1
Let v = 9