 606*i**2. Factor w(d).
-3*d*(d + 2)*(49*d + 2)
Let a(t) be the third derivative of t**7/420 + 7*t**6/480 + t**5/40 - t**4/96 - t**3/12 - 32*t**2. Factor a(d).
(d + 1)**2*(d + 2)*(2*d - 1)/4
Let p = 42/11 - 41/11. Let c(s) be the second derivative of -p*s**2 + 0 + 1/66*s**4 + 0*s**3 + 3*s. Determine m so that c(m) = 0.
-1, 1
Let y(a) be the third derivative of 0*a**3 + 0*a**4 + 1/231*a**7 + 1/616*a**8 - 1/165*a**6 - 37*a**2 + 0 + 0*a - 2/165*a**5. Let y(z) = 0. What is z?
-2, -2/3, 0, 1
Let t(n) = -24*n + 101. Let z be t(4). Let m(g) be the second derivative of 0*g**3 - 6*g + 0*g**2 + 1/40*g**z + 1/60*g**6 + 0 - 1/12*g**4. Factor m(j).
j**2*(j - 1)*(j + 2)/2
Let g(w) = 17*w - 320. Let o be g(19). Factor -2*f**2 + 5/2*f - 1 + 1/2*f**o.
(f - 2)*(f - 1)**2/2
Let n = -266 - -1864/7. Let f = -2 - -2. Factor 0*l**2 + 2/7*l**3 + 0*l - 4/7*l**4 + n*l**5 + f.
2*l**3*(l - 1)**2/7
Let g = -4519 + 4524. What is t in 6/7*t**4 - 6/7*t**2 - 2/7*t**g + 0 + 4/7*t - 2/7*t**3 = 0?
-1, 0, 1, 2
Factor -2*v**4 - 42*v**2 + 68*v**3 - 2888 - 148*v**2 - 248*v**2 + 12*v**2 - 2584*v.
-2*(v - 19)**2*(v + 2)**2
Let n(a) be the first derivative of -5*a**4/16 - 235*a**3/4 + 5*a**2/8 + 705*a/4 + 1040. Find u such that n(u) = 0.
-141, -1, 1
Let z(y) be the first derivative of 4*y**3/27 + 17*y**2/6 - 13*y/9 - 10. Factor z(i).
(i + 13)*(4*i - 1)/9
Let v(p) be the second derivative of 1/21*p**7 - 7/3*p**4 + 25*p**2 + 17/5*p**5 - 12*p - 11/15*p**6 - 35/3*p**3 + 0. Solve v(o) = 0 for o.
-1, 1, 5
Let f(m) be the third derivative of -m**8/112 - 3*m**7/70 + m**5/5 + 10*m**2 - 3. Suppose f(y) = 0. Calculate y.
-2, 0, 1
Let w(i) be the second derivative of -i**5/10 + 3*i**4 - 27*i**3 + 196*i. Factor w(g).
-2*g*(g - 9)**2
Let n(t) be the third derivative of t**7/140 - 3*t**6/80 + 3*t**5/40 - t**4/16 - 266*t**2. Find i, given that n(i) = 0.
0, 1
Suppose 33*h = 36*h - 9. Let n(z) be the third derivative of -2*z**2 - 1/40*z**6 + 0 - z**h + 1/70*z**7 + 5/8*z**4 - 3/20*z**5 + 0*z. Factor n(w).
3*(w - 1)**3*(w + 2)
Let s(u) be the second derivative of 13*u + 0*u**2 + 0 - 1/15*u**4 - 1/15*u**3 - 1/50*u**5. Factor s(m).
-2*m*(m + 1)**2/5
Determine f, given that f**3 - 9/8 + 9/8*f**2 - f = 0.
-9/8, -1, 1
Suppose 0 = -0*y - 11*y + 55. Let k(v) be the second derivative of 0 + 1/54*v**4 - y*v + 2/9*v**3 + v**2. Find o such that k(o) = 0.
-3
Let t(m) be the first derivative of 4*m**5/5 - 4*m**4 + 16*m**3/3 + 51. Factor t(k).
4*k**2*(k - 2)**2
Let d(b) = -2 + 20 - 7*b - 60*b - 8*b**3 + 55*b**2. Let q(t) = -15*t**3 + 110*t**2 - 135*t + 35. Let n(v) = 5*d(v) - 2*q(v). Determine z so that n(z) = 0.
1/2, 1, 4
Suppose g - 7*g - 180 = -11*g. Factor -42*q + 9*q**2 + g + 9/2*q**3 - 3/2*q**4.
-3*(q - 2)**3*(q + 3)/2
Let w(d) be the second derivative of d**5/100 - 7*d**3/30 + 3*d**2/5 - 97*d. Factor w(f).
(f - 2)*(f - 1)*(f + 3)/5
Let d = 3512/13 + -38606/143. Factor 8/11*l**2 - 2/11*l**3 - d*l - 12/11.
-2*(l - 3)*(l - 2)*(l + 1)/11
Let b(v) be the first derivative of 4*v**5/5 - 10*v**4 - 4*v**3/3 + 20*v**2 - 66. Factor b(k).
4*k*(k - 10)*(k - 1)*(k + 1)
Let d(m) = -m**3 - 12*m**2 - 7*m + 8. Let v be d(-11). Let c = v - -110/3. Factor 0*w - 2/3*w**2 + c.
-2*(w - 1)*(w + 1)/3
Let x(b) be the third derivative of b**8/392 + 4*b**7/735 - b**6/420 - b**5/105 - 211*b**2. Solve x(z) = 0.
-1, 0, 2/3
Let f(m) be the first derivative of -m**6/60 - m**5/3 - 3*m**4/4 + 21*m**2/2 + 12. Let y(x) be the second derivative of f(x). Factor y(t).
-2*t*(t + 1)*(t + 9)
Let d(r) be the third derivative of r**8/60480 + r**7/7560 + 2*r**5/15 + 6*r**2. Let h(z) be the third derivative of d(z). Determine f, given that h(f) = 0.
-2, 0
Let v(r) = 2*r**3 + 2*r**2 + r + 2. Let s(p) = -6*p**3 + 158*p**2 - 353*p + 166. Let u(x) = -s(x) - 5*v(x). Factor u(t).
-4*(t - 1)**2*(t + 44)
Suppose 3*l = 2*k + 14, 12*k - 13*k = 2*l. Determine h, given that 2/3*h + 2/3*h**l - 4 = 0.
-3, 2
Let o(j) be the second derivative of -3*j**5/80 + j**4 + j**3/8 - 6*j**2 - 40*j. What is v in o(v) = 0?
-1, 1, 16
Let v(f) = 5*f**3 + 6*f**2 + 8. Let b(u) = -2*u**3 - 2*u**2 - 3. Let a(i) = 11*b(i) + 4*v(i). Let r be a(-1). Solve -9/2*t**r + 9/2*t - 1 + t**2 = 0 for t.
-1, 2/9, 1
Let p(k) be the first derivative of -4/13*k**2 + 17 + 6/13*k + 2/39*k**3. Factor p(g).
2*(g - 3)*(g - 1)/13
Let a = -95 + 104. Let w = a + -7. Factor 0 - 1/2*b**w + 0*b - 1/2*b**3.
-b**2*(b + 1)/2
Let j = 1020 - 1018. Let l(v) be the first derivative of 0*v - 2/15*v**3 + 5 + 0*v**j. Factor l(n).
-2*n**2/5
Let o(k) be the second derivative of -k**5/60 + 2*k**3/3 - 8*k**2/3 - 150*k. Suppose o(c) = 0. Calculate c.
-4, 2
Let m be -2 - (-9 + 9 + 56/(-25)). Let p = m - -32/75. Factor 4/3*r - 2/3 - p*r**2.
-2*(r - 1)**2/3
Let -48/17 - 6534/17*y**3 - 4092/17*y**2 - 776/17*y + 2662/17*y**4 = 0. What is y?
-2/11, 3
Let a be -18 + (-19)/(38/(-37)). What is z in 1/3*z**5 + 3/2*z**4 - 1/3 - a*z + 13/6*z**3 + 5/6*z**2 = 0?
-2, -1, 1/2
Let z be ((-1)/2)/(3/(-96)). Find p such that 6 - z*p**3 + p + 4*p + 88*p**2 + 8*p + 34*p = 0.
-1/4, 6
Suppose -79 = 6*b - 109. Suppose 1/2*h**4 + 1/4*h + 1/2 + 1/4*h**b - h**2 - 1/2*h**3 = 0. Calculate h.
-2, -1, 1
Let f(h) be the first derivative of h**6/2 - 21*h**5/5 + 57*h**4/4 - 25*h**3 + 24*h**2 - 12*h - 193. Let f(j) = 0. What is j?
1, 2
Let j(f) be the first derivative of -f**4/8 + 53*f**3/6 - 182*f**2 + 338*f - 50. Suppose j(s) = 0. What is s?
1, 26
Let y(v) be the first derivative of 5*v**9/3024 - v**8/112 + v**6/18 - 4*v**3/3 + 11. Let n(w) be the third derivative of y(w). Suppose n(z) = 0. What is z?
-1, 0, 2
Let y = 264/7 + -261/7. Find p, given that -3/7*p**2 + 6/7 - y*p = 0.
-2, 1
Let i(k) be the second derivative of k**6/10 - 6*k**5/5 - k**4/4 + 4*k**3 + 116*k. Factor i(w).
3*w*(w - 8)*(w - 1)*(w + 1)
Let k = 71 + -29. Factor -21*b + 42 - k + 3*b**2.
3*b*(b - 7)
Let t(s) be the second derivative of -4*s**2 - 1/900*s**6 + 1/150*s**5 + 0 - 1/90*s**4 + 0*s**3 - s. Let j(m) be the first derivative of t(m). Factor j(y).
-2*y*(y - 2)*(y - 1)/15
Let h(n) be the third derivative of -n**9/272160 + n**7/22680 + 17*n**5/60 - 11*n**2. Let a(f) be the third derivative of h(f). Suppose a(t) = 0. What is t?
-1, 0, 1
Let q(a) be the third derivative of a**7/175 - 17*a**6/300 - 4*a**5/75 + 28*a**4/15 + 7*a**2 + 5*a. Factor q(o).
2*o*(o - 4)**2*(3*o + 7)/5
Let r = -2560 - -2562. Factor 2/7*h**3 + 0*h + 0 + 2/7*h**r.
2*h**2*(h + 1)/7
Let p(i) be the first derivative of -i**6/54 - 107*i**5/45 - 1943*i**4/18 - 50330*i**3/27 - 89425*i**2/18 - 42875*i/9 + 244. Determine d so that p(d) = 0.
-35, -1
Let q = -4 - -6. Let x be q*3 + (8 - 11). Solve 3*f**2 + f**3 + f**5 - f - f + 0*f - x*f**4 = 0 for f.
-1, 0, 1, 2
Factor -5*r**4 - 2*r**5 - 6*r**3 - 523*r + 2*r**2 + 3 + r**5 + 530*r.
-(r - 1)*(r + 1)**3*(r + 3)
Let u(q) be the second derivative of q**7/147 - q**6/21 + 9*q**5/70 - q**4/6 + 2*q**3/21 + 68*q. Determine h, given that u(h) = 0.
0, 1, 2
Let t be (18/108*10)/((350/12)/7). Factor -1/5*l + 1/5*l**2 - t.
(l - 2)*(l + 1)/5
Factor 15*a - 104*a**2 - 9*a - 36 + 106*a**2.
2*(a - 3)*(a + 6)
Let o be 6/(-12) + 119/14. Let s(t) be the third derivative of 0*t - t**2 + 0*t**3 + 1/35*t**7 + 0 + 0*t**5 + 1/40*t**6 + 0*t**4 + 1/112*t**o. Factor s(h).
3*h**3*(h + 1)**2
Let k(s) be the first derivative of s**3/6 + s**2/4 - s - 528. Let k(b) = 0. What is b?
-2, 1
Let k(o) be the first derivative of -1/16*o**4 + 1/8*o**2 + 0*o + 1/12*o**3 + 12 - 1/20*o**5. Factor k(r).
-r*(r - 1)*(r + 1)**2/4
Suppose 4/7*z**2 + 0*z + 0 + 1/7*z**3 = 0. Calculate z.
-4, 0
Let w = -1113 - -1115. Let f(p) be the third derivative of 0*p**4 + 0*p**6 + 0 - 1/20*p**5 + 0*p - 2*p**w + 1/70*p**7 + 0*p**3. Factor f(j).
3*j**2*(j - 1)*(j + 1)
Let p(v) = 3*v + 5. Let j be p(9). Suppose 4*u - 8*l + 4*l = j, 0 = -3*u + 2*l + 19. Suppose u*m**2 - 4*m**2 + 11 - 10 = 0. What is m?
-1, 1
What is m in 591/4*m - 39/2 - 138*m**2 + 39/4*m**3 = 0?
2/13, 1, 13
Let g(l) be the third derivative of -l**6/120 + l**5/20 + l**4/6 - l**2 - 5*l. Factor g(s).
-s*(s - 4)*(s + 1)
Let f = 66 - 62. Factor -9*c + 9*c**2 + 2*c**4 + 15*c - 5*c**f.
-3*c*(c - 2)*(c + 1)**2
Let x(b) be the third derivative of -b**8/10080 - b**7/840 - b**6/180 - b**5/10 + 3*b**2. Let w(u) be the third derivative of x(u). Solve w(p) = 0 for p.
-2, -1
Factor -92*a**2 + 77*