3*y - 56*y**s - 2*y.
3*(y + 1)**2
Let h(b) be the third derivative of -1/240*b**5 + 0*b**4 + 0*b + 1/480*b**6 - 1/1344*b**8 + 0 + 1/840*b**7 + 0*b**3 + 17*b**2. Suppose h(q) = 0. What is q?
-1, 0, 1
Suppose 16 - 8*s + 8*s**2 - 39*s + 16*s + 6*s - 41*s = 0. What is s?
1/4, 8
Let w(b) = -b**2 - 6*b - 5. Let m be w(-4). Factor h - 5*h + 4*h**m - 8*h**2 + 0*h**2 + 0*h**2 + 8.
4*(h - 2)*(h - 1)*(h + 1)
Let q = -1878 + 1880. Suppose 16/5 + 36/5*u**q - 88/5*u + 238/5*u**3 + 98/5*u**4 = 0. What is u?
-2, -1, 2/7
Let h(f) be the first derivative of -5*f**4/8 + 35*f**3/2 - 735*f**2/4 + 1715*f/2 + 156. Solve h(w) = 0 for w.
7
Let l(z) be the third derivative of -2*z**7/945 + 2*z**5/15 - 6*z**3 - z**2 - 28. Solve l(v) = 0.
-3, 3
Let t(x) be the second derivative of -x**4/30 - 64*x**3/5 - 9216*x**2/5 - 19*x + 11. Factor t(w).
-2*(w + 96)**2/5
Let m be ((-716)/(-6265))/((24/45)/4). Factor -9/7 - m*y - 1/7*y**2.
-(y + 3)**2/7
Let h(y) be the first derivative of y**5/240 - y**4/96 - y**3/4 + y**2 + 3. Let l(k) be the second derivative of h(k). Let l(f) = 0. Calculate f.
-2, 3
Factor 3/2*h**2 - 66 + 30*h.
3*(h - 2)*(h + 22)/2
Let z be (5/(-2))/(4/((-96)/30)). Let 0*x**z + 4/5*x**3 + 1/5*x**4 + 0 + 0*x = 0. Calculate x.
-4, 0
Let n(t) = -9*t**3 - 40*t**2 - 93*t. Let l(p) = 7*p**3 + 40*p**2 + 94*p. Let m(y) = -7*l(y) - 6*n(y). Factor m(w).
5*w*(w - 10)*(w + 2)
Let v(p) be the third derivative of p**9/12096 - p**8/2016 - 29*p**5/60 + 29*p**2. Let c(f) be the third derivative of v(f). Factor c(l).
5*l**2*(l - 2)
What is p in 2/3*p**2 + 164/3 - 166/3*p = 0?
1, 82
Determine v, given that 64/17*v**3 + 2/17*v**4 + 208/17 + 330/17*v**2 + 28*v = 0.
-26, -4, -1
Let k be (2/36)/(618/1854). Determine y, given that -k*y**2 - 4/3*y - 2 = 0.
-6, -2
Suppose 2*l + 34 = 2*c, 22 = 2*c - 0*l + 4*l. Suppose 9*v - c*v = -18. Factor 24/5*x**2 + 6/5*x**v - 6/5*x**4 + 6/5 - 3/5*x**5 + 21/5*x.
-3*(x - 2)*(x + 1)**4/5
Let h be 8/6 + (-2)/3. Suppose 258*z - 616 + 288 - 446 = 0. Find s, given that 4*s**2 + h + 2/3*s**4 - 8/3*s**z - 8/3*s = 0.
1
Let b = -701/171 - -80/19. Let w(o) be the first derivative of b*o**3 + 0*o - 1 - 1/12*o**4 + 1/6*o**2 - 1/15*o**5. Determine c, given that w(c) = 0.
-1, 0, 1
Let s(l) be the second derivative of -2*l**7/105 - 8*l**6/75 - l**5/5 - 2*l**4/15 + 401*l. Factor s(j).
-4*j**2*(j + 1)**2*(j + 2)/5
Let a be (-1 - 18/4)*2. Let g = -7 - a. Factor 2*r**3 + g + 2*r**2 - 2*r - 4*r**2 - 2.
2*(r - 1)**2*(r + 1)
Let x be (-14)/210*-15 - 18/30. Find t, given that 1/5*t + x + 1/5*t**5 + 2/5*t**4 - 2/5*t**3 - 4/5*t**2 = 0.
-2, -1, 1
Factor 8 + h**2 - 4*h + 2*h**3 + 0*h**3 - 4*h - 3*h**2.
2*(h - 2)*(h - 1)*(h + 2)
Let u(k) = 70*k**2 - k - 1. Let g be u(2). Factor -276*i**5 + 2*i**4 + g*i**5 - 2*i**2 + i - 2*i.
i*(i - 1)*(i + 1)**3
Let y(s) = -27*s + 1. Let r be y(-2). Determine p, given that 10 - 9*p**2 - p**2 - 19*p**4 + 25*p - r*p**3 - 11*p**4 = 0.
-1, -1/2, 2/3
Suppose -n + 0 + 1 = t, 0 = -2*n - 4*t. Find y, given that -6/7*y - 8/7*y**n + 0 - 2/7*y**3 = 0.
-3, -1, 0
Let s = -12 + 16. What is u in -15*u + 5*u**2 - 2 + 8 + s = 0?
1, 2
Let y(l) be the second derivative of -14/3*l**4 + 0 - 144*l**2 - 46*l - 1/5*l**5 - 40*l**3. Factor y(w).
-4*(w + 2)*(w + 6)**2
Let q(c) be the second derivative of -9 + 0*c**3 - 3/20*c**5 + 0*c**2 - c + 1/6*c**4. Solve q(m) = 0 for m.
0, 2/3
Let g = 1560 - 1558. Suppose 6/17*o - 6/17*o**3 + 2/17*o**4 + 2/17*o**g - 4/17 = 0. What is o?
-1, 1, 2
Let c(p) be the third derivative of 53/480*p**6 + 0 - 1/24*p**4 - 1/3*p**3 + 53/120*p**5 - 7/60*p**7 + 16*p - 7/192*p**8 - 2*p**2. Let c(t) = 0. Calculate t.
-2, -1, -2/7, 2/7, 1
Let v(c) = -c**4 - c**2 - 2*c + 4. Let m(r) = -2*r**4 - r**2 - 4*r + 7. Let u be ((-14)/(-4))/(4/(-8)). Let y(q) = u*v(q) + 4*m(q). Factor y(z).
-z*(z - 1)**2*(z + 2)
Let p(u) be the second derivative of -u**4/3 - 6*u**3 - 19*u + 2. Solve p(y) = 0 for y.
-9, 0
Let d = -6 + 8. Factor 2*i**4 + 11*i**5 - 14*i**5 - d*i**4 - 3*i**4.
-3*i**4*(i + 1)
Let n(v) = v**2 + 6*v + 12. Suppose -3*d - 3 = 0, 0 = -3*b + 8*b + 5*d + 20. Let h be n(b). Factor 0 + 0*s**h - 1/7*s**5 + 1/7*s**4 + 0*s**2 + 0*s.
-s**4*(s - 1)/7
Factor 2/7*s**2 + 0 + 2/7*s**3 - 2/7*s**4 - 2/7*s**5 + 0*s.
-2*s**2*(s - 1)*(s + 1)**2/7
Suppose 0 = a, x + 3*a - 7*a - 3 = -5*a. Factor 3*v - 5*v**2 + 7/3*v**x - 1/3*v**4 + 0.
-v*(v - 3)**2*(v - 1)/3
Let i(h) be the first derivative of 0*h + 1/6*h**2 - 26 + 1/27*h**3. Let i(t) = 0. What is t?
-3, 0
Let a = -7403 + 7405. Let -36/5*j**a + 44/5*j - 8/5 = 0. What is j?
2/9, 1
Let f = 7/3095 + 27229/3095. What is u in 2/5*u**2 - f*u + 242/5 = 0?
11
Let d(x) be the first derivative of -x**3 + 20 + 15/2*x**2 - 18*x. Solve d(t) = 0 for t.
2, 3
Let y(h) = -2*h**2 - 608*h - 2397. Let g be y(-4). Factor -5/3*j**4 + 0 + 5/3*j**2 + 5/3*j**5 + 0*j - 5/3*j**g.
5*j**2*(j - 1)**2*(j + 1)/3
Suppose -57*f + 190 = -19*f. Let d(k) be the second derivative of 0*k**3 + 0*k**f + 0*k**4 + 9*k + 0*k**2 + 1/105*k**6 + 0 - 1/147*k**7. Factor d(a).
-2*a**4*(a - 1)/7
Let w(j) be the second derivative of 7*j**5/100 + 4*j**4/15 + 2*j**3/15 + 105*j. Factor w(n).
n*(n + 2)*(7*n + 2)/5
Let i(a) = -3*a**2 - 5*a + 2. Let r(x) = -2*x**2 - 5*x + 1. Let j(n) = 3*i(n) - 4*r(n). Let c be j(5). Factor 15*v**2 + 0*v**2 - 4*v**2 + 9*v**c - 28*v + 8.
4*(v - 1)*(5*v - 2)
Let y(n) be the first derivative of 9/2*n**2 - n**3 - 6*n + 2. Factor y(c).
-3*(c - 2)*(c - 1)
Suppose -2*m - m = -a, 3*m = 3*a. Solve -2 - 3 - 104*h - 3 - 338*h**2 + m = 0.
-2/13
Suppose h = 2*h + 1. Let k(p) = -p + 1. Let z(y) = 4*y**3 - 4*y**2 + 2*y - 2. Let t be (-3*14)/(-6) + -9. Let r(n) = h*z(n) + t*k(n). Factor r(m).
-4*m**2*(m - 1)
Suppose 7*a - 33 = -4*a. Let 2*h**4 - 130*h**2 - 17*h**4 + 24*h**a + 118*h**2 + 3*h**5 = 0. What is h?
0, 1, 2
Let 18/11*i**3 + 0 - 6/11*i**5 + 2/11*i**4 - 18/11*i**2 + 4/11*i = 0. Calculate i.
-2, 0, 1/3, 1
Let f = -28 + 31. Determine c, given that 3 - 3*c - f*c**2 + 8*c**3 - 3*c**3 - 2*c**3 = 0.
-1, 1
Factor -1/8*r - 1/8*r**2 + 0.
-r*(r + 1)/8
Let a be (-20)/18*96/(-256). Let l(f) be the second derivative of 0 + 12*f - 5/2*f**2 + 5/3*f**3 - a*f**4. Solve l(c) = 0 for c.
1
Suppose 23 + 7 = -5*z. Let s(v) = 9*v + 54. Let g be s(z). Determine p, given that g - 3/2*p**2 - 1/2*p**3 - p = 0.
-2, -1, 0
Let v be 1/(-4) + (-22)/8. Let j = 3 + v. Factor -4*x - 2*x + 3 + 3*x**2 + j.
3*(x - 1)**2
Factor -9*b**3 + 16*b + 28 - 12 - 3*b**3 - 20*b**2.
-4*(b - 1)*(b + 2)*(3*b + 2)
Find q, given that 5*q**2 - 6*q**4 + 5/2*q**5 - 9/2*q + 2*q**3 + 1 = 0.
-1, 2/5, 1
Factor -50/7*r**3 + 2/7*r**4 + 32*r**2 + 168*r + 0.
2*r*(r - 14)**2*(r + 3)/7
Let s(o) = o**2 - 8*o + 14. Let r(g) = 5*g + 37. Let y be r(-7). Let q be s(y). Solve -18/7*i**3 + 0 + 8/7*i - 16/7*i**4 + 10/7*i**5 + 16/7*i**q = 0 for i.
-1, -2/5, 0, 1, 2
Let x(f) = -f**3 + 6*f - 4. Let p be x(-3). Suppose -12 = p*k - 12. Factor 0*d**4 - 2/3*d**5 - 2/3*d + 0 + k*d**2 + 4/3*d**3.
-2*d*(d - 1)**2*(d + 1)**2/3
Let l(q) be the first derivative of -8/5*q + 3/5*q**6 - 102/25*q**5 - 178/15*q**3 - 46 + 32/5*q**2 + 103/10*q**4. Let l(g) = 0. Calculate g.
1/3, 1, 2
Let f**4 + 12 - 20*f**2 - 4 - 3 + 3*f**4 + 11 = 0. What is f?
-2, -1, 1, 2
Let f be (-115 - 6) + 4 - 3. Let m = f + 1088/9. Factor -m*i + 1/9*i**4 - 2/3*i**3 + 0 + 4/3*i**2.
i*(i - 2)**3/9
Let j(c) be the first derivative of c**7/210 - c**6/60 + c**5/60 - 31*c**2/2 - 12. Let g(p) be the second derivative of j(p). Determine h, given that g(h) = 0.
0, 1
Factor -36 + 6*a**4 + 23*a + a**4 - 66*a**3 + 32*a**2 + 26*a**3 + 17*a - 3*a**4.
4*(a - 9)*(a - 1)**2*(a + 1)
Factor 4/7*d**2 + 2116/7 + 184/7*d.
4*(d + 23)**2/7
Suppose -16 = -2*c + 2. Let -6*p**2 + 3*p**2 + 2 - 2 - 12*p**3 - c*p**4 = 0. Calculate p.
-1, -1/3, 0
Factor 32/7*i**2 + 0 - 2/7*i**3 - 128/7*i.
-2*i*(i - 8)**2/7
Let b(o) be the first derivative of -o**4/6 + 6*o**3 - 80*o**2 + 1408*o/3 + 278. Factor b(y).
-2*(y - 11)*(y - 8)**2/3
Factor 154*y**3 + 2*y**4 + 3*y - 18*y**2 + 9*y - 169*y**3 + 3*y**4 + 24 - 8*y**4.
-3*(y - 1)*(y + 2)**3
Let t(b) = b - 3. Let f be t(5). Let y be -3*(f - 16/6). Suppose -2 + 4 + c**2 + 0 - 1 - y*c = 0. Calculate c.
1
Let k(d) = 4*d**3 - 5*d**2 - 5*d. Let v(m) = 7*m**3 - 9*m**2 - 11*m. Let b(a) = -5*k(a) + 3*v(a). Determine q, given that b(q) = 0.
-2, 0, 4
Suppose -2*q + 4*q + 10 = l, 2*q