rivative of -35/12*n**4 - 70*n + 5/3*n**3 + 60*n**2 + 0. Determine f, given that x(f) = 0.
-12/7, 2
Suppose 78*g + 68 = 4*o + 73*g, 2*o + g + 8 = 0. Let i be 4/8 - 0/1. Factor -i*h**2 - 2 - o*h.
-(h + 2)**2/2
Factor -1900 + 3505/2*k + 145*k**2 + 5/2*k**3.
5*(k - 1)*(k + 19)*(k + 40)/2
Let s = -101258/267 + 33812/89. Factor -s*z + 1/6*z**2 + 0.
z*(z - 4)/6
Let i(q) be the second derivative of q**6/10 + 3*q**5/5 - 4*q**4 - 32*q**3 + 2*q - 330. Find d, given that i(d) = 0.
-4, 0, 4
Let i be 0*13/455*5. What is b in -3/4*b + 1/2*b**3 + i + b**2 + 1/4*b**5 - b**4 = 0?
-1, 0, 1, 3
Let u(x) be the third derivative of -x**5/40 - 69*x**4/4 + 139*x**3 + 1558*x**2. Factor u(s).
-3*(s - 2)*(s + 278)/2
Let m(a) be the first derivative of 1/12*a**3 - 12 - 1/8*a**2 - a - 1/48*a**4. Let z(b) be the first derivative of m(b). Determine s so that z(s) = 0.
1
Let o(b) = -b**5 + b. Let h(d) be the first derivative of -d**6/2 - d**5/5 + 2*d**2 + 51. Let n(j) = -h(j) + 4*o(j). Suppose n(q) = 0. What is q?
0, 1
Let g(d) be the third derivative of -d**6/720 + d**5/240 + d**4/4 + 29*d**3/2 - 76*d**2. Let z(x) be the first derivative of g(x). Factor z(t).
-(t - 4)*(t + 3)/2
Let h(c) = 297*c - 297. Let n be h(1). Let o(r) be the first derivative of 1/2*r**3 - 9 + 9/4*r**2 + n*r. Factor o(a).
3*a*(a + 3)/2
Let i be ((-120)/(-96))/(45/10). Let o(v) be the first derivative of 5 + 0*v + 5/6*v**2 - i*v**3. Let o(z) = 0. Calculate z.
0, 2
Suppose 0 = -29*c + 37*c - 104. Factor -c*a**2 + a**2 + 10*a**2 + 30 - 28*a.
-2*(a - 1)*(a + 15)
Let b = -220 - -228. Suppose 8 + 42*y - b*y**2 + 44*y + 4*y**3 - 90*y = 0. Calculate y.
-1, 1, 2
Let y(j) = 4*j**2 - j - 1. Let r(f) = -17*f**2 - 772*f - 150540. Let w(p) = r(p) + 4*y(p). Factor w(i).
-(i + 388)**2
Suppose -138*m + 142*m - 5*g = 82, 2*g + 28 = 0. Factor 4/5*f**m + 0*f + 0 - 2/5*f**2.
2*f**2*(2*f - 1)/5
Let m = 254 - 260. Let o be 1*((-8)/m - 1). Factor 1/3*w**3 + 0*w - o*w**2 + 0.
w**2*(w - 1)/3
Let s(j) = j**4 + 312*j**3 + 4596*j**2 - 8444*j - 4088. Let x(u) = u**4 + 2*u**2 - u - 2. Let f(d) = -s(d) - 4*x(d). Factor f(g).
-(g - 2)*(g + 32)**2*(5*g + 2)
Suppose -6*n = -5*n - 33*n - 10*n. Let v(t) be the first derivative of -5/3*t**3 - 22 + t**2 - 1/5*t**5 + n*t + t**4. Determine f so that v(f) = 0.
0, 1, 2
Let -183/4*i + 45/2*i**4 + 1/2*i**2 - 1/4*i**5 + 46*i**3 - 23 = 0. What is i?
-1, 1, 92
Suppose -9*s = -11*s. Suppose s = w - 8 + 3. Find a such that 2325*a**3 - 2325*a**3 + 3*a**w - 3*a**4 = 0.
0, 1
Factor 199 - t**5 + 238 + 144*t - 16*t**3 - 30 + 25 - 120*t**2 + 11*t**4.
-(t - 6)**2*(t - 3)*(t + 2)**2
Let v(m) = 5*m**4 + 12*m**3 + m**2 + 3. Let w(c) = 6*c**4 + 14*c**3 + 2*c**2 + 2*c + 4. Let n(r) = 4*v(r) - 3*w(r). Factor n(s).
2*s*(s - 1)*(s + 1)*(s + 3)
Suppose -5*l + 565 = -5*s, 2*s - 235 = 4*s + l. Let x be (s/84 - -1)*-9. Factor x - 60/7*w + 15/7*w**3 - 6/7*w**2.
3*(w - 2)*(w + 2)*(5*w - 2)/7
Let p = 188/4403 + 5986/66045. Determine k, given that -4/15 + 2/15*k + 4/15*k**2 - p*k**3 = 0.
-1, 1, 2
Let s(o) be the third derivative of o**7/8820 - o**6/1260 - o**4/8 - o**3/2 - o**2 + 19. Let a(m) be the second derivative of s(m). Factor a(n).
2*n*(n - 2)/7
Suppose -5 = -5*l - 0. Let b(w) = -w**4 + 9*w**3 + 4*w**2. Let f(k) = -k**4 - k**3 - k**2. Let i(t) = l*b(t) - 6*f(t). Determine q so that i(q) = 0.
-2, -1, 0
Suppose -19*c + 15*c = -5*v - 77, 4*v = -4. Let m(d) be the third derivative of 0*d - 1/15*d**4 + 0 + 0*d**3 - 1/75*d**5 - c*d**2. Factor m(y).
-4*y*(y + 2)/5
Let i(o) be the second derivative of -1/80*o**5 + 75*o + 0 - 7/48*o**4 - 5/8*o**2 - 11/24*o**3. Factor i(k).
-(k + 1)**2*(k + 5)/4
Let v(o) be the first derivative of o**5/10 + 7*o**4/2 + 137*o**3/6 - 113*o**2/2 - 168*o + 13811. Determine r so that v(r) = 0.
-21, -8, -1, 2
Let c(d) be the second derivative of d**4/78 - 21*d**3/13 - 64*d**2/13 + 210*d. Let c(s) = 0. What is s?
-1, 64
Let q(v) be the second derivative of -v**7/3780 - v**6/1080 + v**5/30 + 21*v**4/4 - 3*v + 38. Let g(l) be the third derivative of q(l). Factor g(x).
-2*(x - 2)*(x + 3)/3
Let r(s) be the second derivative of 2*s**7/21 + 2*s**6/15 - 5*s**5 - 25*s**4/3 + 4726*s. Suppose r(y) = 0. What is y?
-5, -1, 0, 5
Let k(z) be the second derivative of -z**5/4 - 15*z**4/2 + 5*z + 195. Find t, given that k(t) = 0.
-18, 0
Let t(p) be the second derivative of -415/12*p**4 + 2*p + 6 - 8405/2*p**2 + 8815/6*p**3 + 1/4*p**5. Let t(x) = 0. Calculate x.
1, 41
Factor -4401604/3 - 4/3*r**2 - 8392/3*r.
-4*(r + 1049)**2/3
Let m(f) = -362*f - 10858. Let i be m(-30). Suppose 5*w = 3 + 12. Factor -14/3*h**4 + 0 - 32/3*h**w + 0*h - 8/3*h**i.
-2*h**2*(h + 2)*(7*h + 2)/3
Suppose 0 = -57*o + 1606 - 238. Let l be 15/10*1/(o/64). Suppose -10/9*r**3 + 4/3 + 10/9*r - 2/9*r**l - 10/9*r**2 = 0. What is r?
-3, -2, -1, 1
Suppose -5*z - 2672 = -2682. Find u, given that -512/17*u + 64/17*u**z - 2/17*u**3 + 0 = 0.
0, 16
Let u(w) be the second derivative of 2*w - 14*w**3 + 81/2*w**2 + 63 + 1/4*w**4. Factor u(c).
3*(c - 27)*(c - 1)
Let z(t) be the third derivative of -t**6/60 - 19*t**5/10 - 51*t**4/2 - 3849*t**2. Factor z(n).
-2*n*(n + 6)*(n + 51)
Let v(l) = -l**3 + 5*l**2 - 7*l - 5. Let r(x) = -x**2 + x + 1. Let d be r(3). Let h(w) = 2*w**3 - 6*w**2 + 8*w + 6. Let t(k) = d*v(k) - 4*h(k). Factor t(j).
-(j - 1)*(j + 1)*(3*j + 1)
Let b(v) be the third derivative of v**6/60 + 3*v**5/10 - 53*v**4/6 + 32*v**3 - 21*v**2. Let b(i) = 0. What is i?
-16, 1, 6
Let i(s) be the first derivative of 4*s**3/21 - 1380*s**2/7 + 476100*s/7 - 2956. Factor i(n).
4*(n - 345)**2/7
Let o(a) be the third derivative of 0*a - 13/90*a**6 - 4/15*a**5 + 0*a**3 - 2/315*a**7 + 0*a**4 - 86*a**2 + 0. Factor o(v).
-4*v**2*(v + 1)*(v + 12)/3
Let u(g) = -762*g**2 + 1508*g + 2. Let b(t) = 3046*t**2 - 6031*t - 7. Let d(l) = 12*b(l) + 46*u(l). Solve d(h) = 0.
1/375, 2
Let m be (-24*(-24)/3024*(-216)/15)/((-1)/14). Factor 48*i**2 + 51/5*i + 3/5 + m*i**3.
3*(i + 1)*(8*i + 1)**2/5
Factor -50 - 2380/3*a - 128/9*a**4 + 3808/9*a**3 - 27842/9*a**2.
-2*(a - 15)**2*(8*a + 1)**2/9
Let t be (138/(-27) + 6)*201/(-244). Let b = -4/61 - t. Factor -10/3*u - 8/3 - b*u**2.
-2*(u + 1)*(u + 4)/3
Factor -92*w**4 + 3*w**5 - 19*w**4 + 224*w**3 - 498 + 166 + 1824*w - 388 - 1680*w**2 + 460*w**3.
3*(w - 30)*(w - 2)**3*(w - 1)
Let p(u) = -104*u**2 + 1674*u - 3274. Let b(k) = 295*k**2 - 5017*k + 9823. Let n(x) = -6*b(x) - 17*p(x). Factor n(d).
-2*(d - 820)*(d - 2)
Let k(x) be the third derivative of -x**7/735 - 29*x**6/105 + 47*x**5/42 - 59*x**4/42 - 2117*x**2. Solve k(y) = 0.
-118, 0, 1
Let f(m) be the second derivative of -m**5/120 - 5*m**4/9 + 83*m**3/36 - 7*m**2/2 + 152*m - 4. Solve f(y) = 0 for y.
-42, 1
Suppose 4*h + 3283 = -28077. Let t be (18/(-855))/(8/h). Factor 2/19*c**2 - 56/19*c + t.
2*(c - 14)**2/19
Let y(v) = 5*v**5 - 32*v**4 + 56*v**3 - 58*v**2 + 11*v - 6. Let d(u) = -u**4 - u**3 + u**2 - 5*u. Let h(g) = -20*d(g) + 5*y(g). Factor h(w).
5*(w - 2)*(w - 1)**3*(5*w - 3)
Let i(q) be the first derivative of q**4/2 - 668*q**3/3 + 665*q**2 - 664*q + 754. Factor i(d).
2*(d - 332)*(d - 1)**2
Let n(q) be the first derivative of -5*q**3/3 - 830*q**2 - 137780*q - 126. Find j such that n(j) = 0.
-166
Let j be (-1)/2*(18 + -28)*1. Let g(n) = -3*n**2 + 70*n + 68. Let c(v) = v**2 - 35*v - 34. Let b(w) = j*c(w) + 2*g(w). Suppose b(y) = 0. What is y?
-34, -1
Let c(h) = -23*h + 94. Let j be c(4). Let t be 28/(-210) + j/6. Factor 1/5*q**2 + t*q**3 + 0 + 0*q.
q**2*(q + 1)/5
Let i be 13/1 - ((61 - 17) + -31). Let -4/9*c**2 + i - 2/9*c + 2/9*c**5 + 4/9*c**4 + 0*c**3 = 0. What is c?
-1, 0, 1
Let w be 12/90 + 146/30. Factor 2*b**5 - 2*b**5 + 2*b**4 + 3*b**3 + 6*b**w + 2*b**4 - 5*b**5.
b**3*(b + 1)*(b + 3)
Let x(p) be the third derivative of -5*p**9/28224 - p**8/9408 + p**7/735 - p**6/420 - 7*p**5/3 - 31*p**2. Let l(y) be the third derivative of x(y). Factor l(z).
-3*(z + 1)*(5*z - 2)**2/7
Let h be (-454)/(-19) + 6/57. Let p = -18 + 21. Factor -7*y**4 - 15*y**2 - h*y**3 + p*y**2 - 2*y**4.
-3*y**2*(y + 2)*(3*y + 2)
Let g(k) be the third derivative of 3/7*k**3 + 1/420*k**5 + 0*k + 0 + 16*k**2 - 19/168*k**4. Factor g(r).
(r - 18)*(r - 1)/7
Let z = 29373 - 29367. Let f(s) be the second derivative of -1/15*s**z + 0*s**5 - s**2 + 1/3*s**4 + 0*s**3 + 17*s + 0. Solve f(w) = 0.
-1, 1
Let x(k) be the first derivat