*p**2 - 14/15*p + 0.
2*p*(p - 7)/15
Let q(y) = -2*y**5 - 3*y**4 + 34*y**3 - 31*y**2 - 3*y + 20. Let n(r) = -r**3 - 2. Let s(a) = 5*n(a) + q(a). Determine v, given that s(v) = 0.
-5, -1/2, 1, 2
Suppose 28/15*y**3 + 8/5*y + 10/3*y**2 + 2/15*y**4 + 0 = 0. Calculate y.
-12, -1, 0
Let i(p) be the third derivative of p**8/504 + 59*p**7/315 + 19*p**6/3 + 680*p**5/9 - 2000*p**4/9 + 234*p**2. Factor i(k).
2*k*(k - 1)*(k + 20)**3/3
Let s(o) be the second derivative of 0 + 3/20*o**5 + 9*o + 0*o**4 - 1/10*o**6 + 0*o**3 + 0*o**2. Find w, given that s(w) = 0.
0, 1
Let v(a) be the first derivative of 1/4*a**2 + 0*a - 5 - 1/10*a**5 - 1/8*a**4 + 1/6*a**3. Find i, given that v(i) = 0.
-1, 0, 1
Suppose -4 = -2*b + 6*b. Let j be -6*b/2 - -2. Factor -w**4 - 1 + 4*w**5 + 2*w**j + 2*w**2 - 2*w**3 - 5*w**5 + w.
(w - 1)**3*(w + 1)**2
Let b(n) be the second derivative of -n**4/16 + 3*n**3/4 - 27*n**2/8 - 10*n + 1. Suppose b(l) = 0. What is l?
3
Let u(w) = -3*w - 12. Let o(l) = -4*l - 18. Let z(n) = -5*o(n) + 7*u(n). Let a be z(3). Factor -240/7*j - 324/7*j**a - 432/7*j**2 - 81/7*j**4 - 48/7.
-3*(j + 2)*(3*j + 2)**3/7
Let j(q) = 3*q**2 + 2*q + 4. Let s be j(0). Let -1/6*v**s - 1331/6*v + 0 - 121/2*v**2 - 11/2*v**3 = 0. What is v?
-11, 0
Let u(s) = -20*s**3 + 250*s**2 + 585*s - 840. Let c(h) = 11*h**3 - 124*h**2 - 292*h + 420. Let v(z) = -5*c(z) - 3*u(z). Factor v(p).
5*(p - 28)*(p - 1)*(p + 3)
Let d(f) be the third derivative of -f**5/70 + 43*f**4/84 - 2*f**3/3 + 3*f**2 + 24. Determine p, given that d(p) = 0.
1/3, 14
Suppose 10*p - 3*p = 0. Let k(c) be the third derivative of -5*c**2 - 1/40*c**6 + 0*c**5 + p*c + 1/8*c**4 + 0*c**3 + 0. Factor k(s).
-3*s*(s - 1)*(s + 1)
Let 56*r**5 - 10*r - 3/2 - 21/2*r**2 + 44*r**3 + 102*r**4 = 0. Calculate r.
-1, -1/2, -1/4, 3/7
Let m(x) be the second derivative of -x**5/60 - x**4/18 + x**3/18 + x**2/3 + 4*x - 13. Let m(g) = 0. What is g?
-2, -1, 1
Suppose -1 = -k - 3*m, -2*m - 19 = -4*k + m. Let q(a) be the second derivative of 0 + 0*a**2 + 1/35*a**5 + 4*a - 1/21*a**3 - 1/42*a**k. Factor q(g).
2*g*(g - 1)*(2*g + 1)/7
Let j = 92 + -92. Let w(u) be the third derivative of 1/420*u**6 + 1/21*u**3 - 1/210*u**5 + 0*u - 1/84*u**4 + j - 4*u**2. Factor w(n).
2*(n - 1)**2*(n + 1)/7
Suppose 4*b + 11 - 1 = -2*p, 0 = b - 2*p - 10. Suppose 0 = -4*c + 2*r + 40, b = 5*c - 0*c + 3*r - 39. Factor -20*t**3 + 12*t**2 + c*t**4 + 6*t**4 - 16*t**3.
3*t**2*(t - 2)*(5*t - 2)
Factor -1/5*k**3 - 81/5*k - 18/5*k**2 + 0.
-k*(k + 9)**2/5
Let l = 4377/4 - 10929/10. Let y = l + 1/4. Solve 6/5*j**2 - 4/5*j**3 - 8/5 + y*j - 2/5*j**4 = 0 for j.
-2, 1
Let x(l) = -9*l**3 - 113*l**2 + 51*l - 17. Let w(u) = -u**3 - 14*u**2 + 6*u - 2. Let t(d) = -51*w(d) + 6*x(d). Factor t(v).
-3*v**2*(v - 12)
Let p be 236/(-10) - (12 - 8). Let v = p + 1262/45. Let 0*n + 0 + v*n**2 - 2/9*n**5 - 4/9*n**4 + 2/9*n**3 = 0. What is n?
-2, -1, 0, 1
Let v(g) be the second derivative of g**4/54 - 4*g**3/27 + 53*g. Suppose v(k) = 0. What is k?
0, 4
Let i(n) be the second derivative of 8*n - 1/6*n**2 + 1/12*n**3 + 0 - 1/72*n**4. Find h such that i(h) = 0.
1, 2
Let v(a) = 3*a - 15*a + 7*a - 22. Let u be v(-5). Factor 2/9*i**u + 0 + 8/9*i - 8/9*i**2.
2*i*(i - 2)**2/9
Let k(p) be the third derivative of -p**6/120 + p**5/20 + 2*p**3/3 + 24*p**2. Let c(g) be the first derivative of k(g). Factor c(y).
-3*y*(y - 2)
Let l(y) = -y**3 + 32*y**2 + 37*y - 132. Let n be l(33). Determine q so that 2/7*q**4 - 6/7*q**3 + 0 + n*q + 0*q**2 = 0.
0, 3
Let i(g) = g**2 - 6*g + 2. Let a(y) = -2*y**2 + 11*y - 4. Let j(z) = -3*a(z) - 5*i(z). Let t be j(2). Suppose 2/7 - 2/7*d**2 + t*d = 0. What is d?
-1, 1
Let h(k) = 4*k - 7. Let u(i) = -5*i + 8. Let b(y) = -6*h(y) - 5*u(y). Let j be b(1). Factor 0 - 1/4*n**j + 1/4*n**2 + 0*n.
-n**2*(n - 1)/4
Let u = -506 - -4049/8. Solve -1/8 - 1/4*s - u*s**2 = 0 for s.
-1
Let u(q) = -2*q**2 - 208*q + 1554. Let p be u(7). Factor -1/3*c**3 + 0*c**2 + 0*c + p - 1/2*c**4.
-c**3*(3*c + 2)/6
Let c(y) = -3*y + 55. Let u be c(14). Find d, given that -d**2 - 4*d**2 + u*d - 38*d = 0.
-5, 0
Let d(y) = 6 - y**2 + 1 - 3*y + 0*y + 4*y. Let h be d(0). Suppose -11*f + 8 - 3*f**2 - f + h*f**2 = 0. Calculate f.
1, 2
Let b(r) = -9*r**3 + 3*r**2 + 142*r + 38. Let w(o) = -28*o**3 + 8*o**2 + 426*o + 113. Let k(s) = -7*b(s) + 2*w(s). Factor k(g).
(g - 5)*(g + 4)*(7*g + 2)
Let u(h) be the third derivative of -h**7/420 + h**6/60 + 7*h**5/40 - 13*h**4/6 + 20*h**3/3 + 351*h**2 - h. Factor u(a).
-(a - 4)**2*(a - 1)*(a + 5)/2
Suppose -2*m - 2*i = 6 - 14, 3*m + i - 6 = 0. Let r be (m + -1)/(3 - 1). Factor r + 2 - 2 + 3*u**2.
3*u**2
Let i be ((-3248)/1044)/(4/(-6)) + -3. Factor 0 + i*k - 1/3*k**2.
-k*(k - 5)/3
Let i be 12/(-84) - 1/14*-2. Let z(p) be the third derivative of -5*p**2 - 1/315*p**7 + i*p**5 + 0*p**3 + 0 + 0*p - 1/180*p**6 + 0*p**4. Factor z(y).
-2*y**3*(y + 1)/3
Let g = 315 + -1889/6. Let q(k) be the second derivative of 1/12*k**4 - 5/18*k**3 + 0 + 6*k + 1/12*k**5 + g*k**2 - 2/45*k**6. Determine v so that q(v) = 0.
-1, 1/4, 1
Let r(f) be the first derivative of -2/3*f**3 - 3 + 1/2*f**4 - 4*f**2 + 8*f. Factor r(s).
2*(s - 2)*(s - 1)*(s + 2)
Let b(l) be the third derivative of l**9/574560 + l**8/191520 + 7*l**5/60 - 24*l**2. Let z(f) be the third derivative of b(f). Solve z(n) = 0 for n.
-1, 0
Let y(v) be the second derivative of 5*v**7/42 + v**6/3 - 7*v**5/4 + 5*v**4/3 + 2*v + 268. Solve y(o) = 0 for o.
-4, 0, 1
Let s(t) be the second derivative of t**7/1680 - t**6/240 - 3*t**5/80 - t**4/2 - 6*t. Let c(d) be the third derivative of s(d). Factor c(a).
3*(a - 3)*(a + 1)/2
Let f(g) be the first derivative of -2197*g**6/8 - 507*g**5 - 975*g**4/16 + 355*g**3/2 - 105*g**2/2 + 6*g - 34. Solve f(d) = 0 for d.
-1, 2/13
Suppose 4*u - 3*u = 1. Suppose -o = -3 - u. Factor 0*b - 1/3*b**3 + 0*b**2 + 2/3*b**o - 1/3*b**5 + 0.
-b**3*(b - 1)**2/3
Let p(t) be the first derivative of -1/3*t**3 + 0*t + 1/360*t**5 + 1/36*t**4 - 6 - 1/1080*t**6 + 0*t**2. Let r(w) be the third derivative of p(w). Factor r(s).
-(s - 2)*(s + 1)/3
Let 0 + 69/2*p - 3/2*p**2 = 0. What is p?
0, 23
Let y(t) = -2*t**2 + 3 + 10 + 6*t**2. Let v(r) = r**2 + 3. Let g = 191 - 197. Let z(d) = g*y(d) + 26*v(d). Determine o so that z(o) = 0.
0
Suppose a - 9 + 2 = 0. Suppose -u + t - 4 = -t, -2*u = t - a. Factor -2/7*w**3 + 6/7*w + 4/7 + 0*w**u.
-2*(w - 2)*(w + 1)**2/7
Let y(d) be the first derivative of d**3/4 - 15*d**2 + 117*d/4 + 122. Let y(k) = 0. Calculate k.
1, 39
Let o = -11575/2 - -5788. Factor 0 + 0*u - 1/4*u**5 - o*u**3 + 0*u**2 - 3/4*u**4.
-u**3*(u + 1)*(u + 2)/4
Let g(a) be the second derivative of -a**4/6 - 16*a**3/3 - 15*a**2 - 12*a. Find y, given that g(y) = 0.
-15, -1
Let u(a) be the second derivative of -a**6/2880 - a**5/240 - a**4/48 + 7*a**3/3 - 8*a. Let o(w) be the second derivative of u(w). Find c such that o(c) = 0.
-2
Let y be (-3)/(27/(-123)) + (-42)/14. Solve -6*b**3 + 14*b**2 - y*b + 8/3 = 0 for b.
2/3, 1
Let z be 7866/345 - (7 + 11). Let z - 4/5*r - 4/5*r**2 = 0. What is r?
-3, 2
Let a(t) be the third derivative of t**5/60 - t**4/12 + t**3/6 + 42*t**2. Let z(j) = 6*j**2 - 8*j - 2. Let i(d) = -14*a(d) + 2*z(d). Factor i(o).
-2*(o - 3)**2
Suppose 2112*r**3 + 3/8*r**5 + 196608*r + 93/2*r**4 - 1572864 + 39936*r**2 = 0. Calculate r.
-32, 4
Let p(q) be the second derivative of q**6/270 - q**5/9 + 41*q**4/36 - 10*q**3/3 - 18*q**2 - 509*q. Factor p(f).
(f - 9)*(f - 6)**2*(f + 1)/9
Let d(x) be the third derivative of x**6/10 + x**5/6 - x**4/6 - x**3/3 + 463*x**2. Factor d(l).
2*(l + 1)*(2*l - 1)*(3*l + 1)
Suppose 0 = -2*t - 5*v - 16 - 22, 5*v = 4*t + 16. Let x(w) = 3*w + 30. Let s be x(t). Factor -1/4*u**s - 3/4*u**2 + 0 + u.
-u*(u - 1)*(u + 4)/4
Let r(c) = -c**2 + 49*c - 135. Let d be r(46). What is j in -21/5*j**4 + 0 - 6/5*j - 33/5*j**2 - 48/5*j**d = 0?
-1, -2/7, 0
Let n(w) = 4*w**3 - 4*w**2 + 6*w - 3. Let d be n(2). Suppose d*j**3 - 20*j**5 - 18*j**5 + 63*j**5 - 10*j**2 - 20*j**4 - 20*j**5 = 0. What is j?
0, 1, 2
Let u be (24/(-27)*-6)/(84/168). Suppose 2*z**2 + 10/3 + u*z = 0. What is z?
-5, -1/3
Suppose -2*t - r + 20 + 35 = 0, 5*t - 110 = 3*r. Suppose -2*v - v = -4*x + 55, 5*v - t = -5*x. Factor -i**2 - 9*i**3 - 2*i + 0*i + x*i**3.
i*(i - 2)*(i + 1)
Suppose 20*o**5 - 8*o**4 + 60 - 26*o**2 - 158*o + 123*o**4 + 150*o**3 + 31*o - 99*o**2 - 