econd derivative of -w**4/6 - 6*w**3 - 583*w. Factor r(j).
-2*j*(j + 18)
Let r(b) = -24*b**2 + 105*b - 126. Let c(a) = -145*a**2 + 630*a - 755. Let h(d) = -4*c(d) + 25*r(d). Determine v so that h(v) = 0.
2, 13/4
Let d(r) be the first derivative of -r**4/2 - 20*r**3/7 - 36*r**2/7 - 16*r/7 - 145. Factor d(o).
-2*(o + 2)**2*(7*o + 2)/7
Let j(r) be the first derivative of 3*r**4/8 - 13*r**3/2 - 87*r**2/4 - 45*r/2 - 19. Solve j(l) = 0.
-1, 15
Let d = 13 - 1. Factor -2*q**2 + 7 - 1 + d*q**2 - 15*q - q**2.
3*(q - 1)*(3*q - 2)
Let x(n) be the first derivative of -n**7/5040 - n**6/1080 + 6*n**3 - 4. Let k(z) be the third derivative of x(z). Solve k(v) = 0 for v.
-2, 0
Suppose -185 = -31*b - 30. Let w(m) be the second derivative of -1/48*m**4 + 5*m + 1/80*m**b + 1/8*m**2 + 0 - 1/24*m**3. Determine v, given that w(v) = 0.
-1, 1
Let j(t) = -17*t - 4*t**2 + t**2 - t**2 + 67 - 19. Let s(u) = -u**2 - 6*u + 16. Let h(q) = -6*j(q) + 21*s(q). Solve h(o) = 0 for o.
4
Let q(l) = -2*l**5 - l - 1. Let v(b) = 20*b**5 - 7*b**4 - 25*b**3 + 5*b**2 + 23*b + 8. Let w(f) = -6*q(f) - v(f). Let w(x) = 0. Calculate x.
-1, -1/8, 1, 2
Let y = 1063/3 + -353. Factor 4/3*g + 1/3*g**2 + y.
(g + 2)**2/3
Suppose 0 = 577*z - 589*z + 72. Factor -3/2*g**2 + 6*g - z.
-3*(g - 2)**2/2
Let b(u) be the third derivative of -u**7/210 + u**6/30 + 3*u**5/10 + 5*u**4/6 + 7*u**3/6 + 168*u**2 + 1. Suppose b(o) = 0. Calculate o.
-1, 7
Let u(n) be the second derivative of -n**4/20 - 14*n**3/5 - 294*n**2/5 - 78*n. Let u(r) = 0. What is r?
-14
Let g(t) be the third derivative of -1/96*t**4 + 1/240*t**5 + 0*t + 0*t**3 + 0 - 5*t**2. Factor g(z).
z*(z - 1)/4
Let n(r) = 5*r + 4. Let m be n(-4). Let a be 2 + -4 + (-2 - m). Determine x, given that a + 3*x - 42*x**3 + 21*x - 71*x**2 - 4*x**2 = 0.
-2, -2/7, 1/2
Let d(l) = -23*l**3 - 45*l**2 + 343*l - 315. Let g(i) = 8*i**3 + 15*i**2 - 113*i + 105. Let y(p) = -3*d(p) - 8*g(p). Factor y(n).
5*(n - 3)*(n - 1)*(n + 7)
Let p be 0/(0 - 2) + 3. Factor -3*m**3 - 29 + 29 - 2*m**4 + 3*m**2 - m**4 + p*m.
-3*m*(m - 1)*(m + 1)**2
Let u be 10/2 - (-20)/(-10). Let a be 524/8 - u/6. Factor a*l**2 + 4*l - 31*l**2 - 3 - 35*l**2.
-(l - 3)*(l - 1)
Let t(d) be the second derivative of -d**5/20 + 31*d**4/12 - 121*d**3/24 + 15*d**2/4 + 52*d + 2. Let t(p) = 0. Calculate p.
1/2, 30
Factor 0 + 2/3*v**2 + 16/3*v**3 - 2/3*v**4 - 16/3*v.
-2*v*(v - 8)*(v - 1)*(v + 1)/3
Let f be (-330)/(-27) - (-2)/(-9). Suppose f = 24*m - 18*m. What is p in -2/3*p**2 + 8/3*p - m = 0?
1, 3
Factor -9*a - 98*a - 78*a - 387*a**2 - 113*a**2 + 35 - 50.
-5*(4*a + 1)*(25*a + 3)
Suppose w + z - 19 = -12, 4*w - 13 = -z. Let l(o) be the second derivative of 0 + 4*o**w + 1/24*o**4 + 2/3*o**3 - 8*o. Find h, given that l(h) = 0.
-4
Let v(t) be the third derivative of -t**5/160 + 11*t**4/64 - 9*t**3/8 + 222*t**2. Factor v(x).
-3*(x - 9)*(x - 2)/8
Suppose 0 = 19*z - 105 + 10. Let q(j) be the first derivative of -8/39*j**3 + 12 + 0*j**4 + 0*j**2 + 0*j + 1/39*j**6 + 6/65*j**z. Find x such that q(x) = 0.
-2, 0, 1
Let a(s) = -10*s**3 + 200*s**2 - 2625*s + 4410. Let i(m) = -9*m**3 + 204*m**2 - 2625*m + 4410. Let q(l) = -4*a(l) + 5*i(l). Determine c, given that q(c) = 0.
2, 21
Let d(m) be the third derivative of -m**5/100 + 11*m**4/10 - 242*m**3/5 + 61*m**2 + m. Find y, given that d(y) = 0.
22
Let b(v) = v**3 + 13*v**2 - 16*v - 25. Suppose 3*t - 112 = 11*t. Let h be b(t). Determine s, given that 0 - 6*s**5 + 3/2*s**2 - 3/2*s**4 + 0*s + 6*s**h = 0.
-1, -1/4, 0, 1
Solve 2/7*x**2 - 36/7 + 2*x = 0.
-9, 2
Find h such that -15/2 - 4*h - 1/2*h**2 = 0.
-5, -3
Let j(x) be the third derivative of x**7/4620 - x**6/1980 - 4*x**3/3 - 2*x**2. Let q(n) be the first derivative of j(n). Factor q(b).
2*b**2*(b - 1)/11
Let g(c) be the first derivative of c**6/300 - c**5/200 - 44*c + 39. Let w(v) be the first derivative of g(v). Determine s so that w(s) = 0.
0, 1
Let o(y) be the third derivative of y**7/1365 + 7*y**6/390 + 4*y**5/195 - 31*y**4/78 + y**3 + 369*y**2. Determine p, given that o(p) = 0.
-13, -3, 1
Let h(f) = -f - 17. Let p be h(-17). Let b be (0/2)/(p - -4). Factor 0*i + b + i**3 + 1/2*i**2 + 1/2*i**4.
i**2*(i + 1)**2/2
Suppose 5*u - 2*h - 18 = -4*h, 0 = u - 5*h - 9. Determine t so that -20*t**3 + 0*t**2 + 4*t**4 - u*t**2 + 0*t**4 + 20*t**2 = 0.
0, 1, 4
Let t = 26 - 26. Factor 7*y**2 + 5*y + t*y + 2*y - 4*y.
y*(7*y + 3)
Suppose -r + 15 = 4*r. Suppose 0*u = -u + 2. Solve -5*a**2 - 2*a + r*a**2 + 6*a + 3 + 3*a**u = 0.
-3, -1
Let u(a) be the first derivative of 5*a**3/6 + 5*a**2 - 105*a/2 + 59. Find q such that u(q) = 0.
-7, 3
Let x be (-11)/((-33)/(-24))*(-16)/64. Factor -5*p - 5/2*p**4 + 5*p**3 + 0*p**x + 5/2.
-5*(p - 1)**3*(p + 1)/2
Let f(m) = 4*m**2 + 35*m. Let q be f(-9). Suppose -q*j + 9 + 9 = 0. Find k such that 0 + 0*k**3 - 2/11*k**4 + 2/11*k**j + 0*k = 0.
-1, 0, 1
Let b = 758 - 753. Let x(m) be the second derivative of 1/10*m**b + 0 + 1/2*m**2 - 1/6*m**3 - 1/42*m**7 - 1/6*m**4 + 3*m + 1/30*m**6. Factor x(i).
-(i - 1)**3*(i + 1)**2
Let u(s) be the third derivative of s**7/350 - 7*s**6/600 + s**5/60 - s**4/120 - 233*s**2. Suppose u(g) = 0. Calculate g.
0, 1/3, 1
Suppose 0*y - 13 = -5*y + 2*z, -3*z = 3*y - 12. Let -88 + 20*d**2 + 48 + 32*d + 56 + 4*d**y = 0. Calculate d.
-2, -1
Let x(i) = 5*i**2 + 41*i + 84. Let h(v) = 33*v**2 + 246*v + 503. Let k(m) = -6*h(m) + 39*x(m). Suppose k(j) = 0. Calculate j.
-2, 43
Let r(p) be the first derivative of 1/3*p**6 - 8 + 9/2*p**4 + 0*p - 14/3*p**3 - 2*p**5 + 2*p**2. Suppose r(h) = 0. What is h?
0, 1, 2
Let a(o) be the first derivative of o**6/18 + o**5/15 - 3*o**4/4 - o**3 + 109. Suppose a(s) = 0. Calculate s.
-3, -1, 0, 3
Let t(g) = 3*g + 55. Let q be t(-17). Find w such that 2*w**3 - 114*w**5 + 116*w**5 - 2*w**4 + 2*w**4 + 4*w**q = 0.
-1, 0
Let v be -1*5/(-10)*0. Suppose v = 7*g - 11*g. Factor 0*n - 2/7*n**4 + g*n**3 + 4/7*n**2 - 2/7.
-2*(n - 1)**2*(n + 1)**2/7
Let l(x) be the first derivative of x**5/30 - x**4/4 - 4*x**3/3 + 23*x**2/2 - 18. Let p(m) be the second derivative of l(m). Factor p(k).
2*(k - 4)*(k + 1)
Let y = 726 + -722. Let l(z) be the third derivative of 0*z - 1/30*z**6 - 1/6*z**y + 1/6*z**3 + 1/10*z**5 + 0 - 8*z**2 + 1/210*z**7. What is j in l(j) = 0?
1
Factor -50 - 38*k - 4*k**2 - 5 + 6*k**2 + 15.
2*(k - 20)*(k + 1)
Let x(z) = z**4 - 35*z**3 + 3*z**2 - 9*z. Let v be 94/10 + (-22)/55. Let s(a) = -17*a**3 + a**2 - 4*a. Let g(d) = v*s(d) - 4*x(d). Factor g(q).
-q**2*(q + 3)*(4*q + 1)
Let j be ((-75)/(-270)*9)/(8/2). Solve -j*w**2 + 1/8*w + 0 + 1/2*w**3 = 0.
0, 1/4, 1
Suppose 26*v - 14/3*v**2 - 64/3 = 0. What is v?
1, 32/7
Let f(l) = -l - 2. Let q be f(-7). Let x(m) = -8*m**3 + 12*m**2 - 10*m + 6. Let z(h) = -7*h**3 + 11*h**2 - 9*h + 5. Let p(v) = q*x(v) - 6*z(v). Factor p(r).
2*r*(r - 2)*(r - 1)
Factor 42838*m - 14*m**2 + 52*m**2 - m**3 - m**3 - 172 + 46*m**2 - 42748*m.
-2*(m - 43)*(m - 1)*(m + 2)
Let x be (7 + -2)/10 + (-7)/24. Let g = 11/24 - x. Find h such that h - 3/4*h**2 + g*h**4 + 1 - 1/2*h**3 = 0.
-1, 2
Let d(c) be the first derivative of 0*c**2 + 0*c**4 + 0*c**5 - 5/3*c**3 + 0*c - 1/180*c**6 - 3. Let y(u) be the third derivative of d(u). Factor y(k).
-2*k**2
Let a be (6/(-5 - -2))/((-1)/1). Let v(r) be the first derivative of -2/7*r**a + 2 + 0*r + 8/21*r**3 - 1/7*r**4. Factor v(k).
-4*k*(k - 1)**2/7
Let c(d) = 2*d**2 - 2. Let s = 12 - 4. Suppose 2*w = -0*w - s. Let o(z) = -4*z**2 + z + 3. Let u(t) = w*o(t) - 7*c(t). Determine v so that u(v) = 0.
1
Let i = -14/617 - -1907/2468. Solve 0 + 0*p - i*p**2 + 3/4*p**3 = 0.
0, 1
Let s(m) be the second derivative of m**6/180 - m**5/30 + 19*m**3/6 + 19*m. Let g(o) be the second derivative of s(o). What is y in g(y) = 0?
0, 2
Suppose -14 + 4 = -5*z. Let c(s) be the first derivative of 3/5*s - 1/15*s**3 + 7 - 1/5*s**z. Let c(x) = 0. Calculate x.
-3, 1
What is r in 321*r - 291*r + 2*r**3 + 16 - 4*r**3 + 12*r**2 = 0?
-1, 8
Let p(n) be the first derivative of -n**6/6 + 2*n**5/5 + 7*n**4/2 + 8*n**3/3 - 13*n**2/2 - 10*n - 72. Determine q, given that p(q) = 0.
-2, -1, 1, 5
Suppose -3*c = 2*m - 18, 1534*m + 4*c = 1537*m + 24. What is f in -2/11*f**4 + m*f + 0 + 0*f**2 - 2/11*f**3 = 0?
-1, 0
Let d be -53*60/(-66) - 2/11. Factor -99 - d - 5*g**2 - 42*g + 2*g**2.
-3*(g + 7)**2
Suppose -o + 7*a - 7 = 0, 0 = 99*o - 94*o + 5*a - 5. Factor 0