3 - 8*s**2 + 8*s**2 + 4*s**4 + 0*s**2.
5*s**3*(s + 47)
Suppose 5*d - 3*d = 2*c - 10, 3*d = -6. Let u(y) be the third derivative of 0*y + y**2 + 0 - 2/15*y**4 - 2/5*y**c - 1/75*y**5. Factor u(x).
-4*(x + 1)*(x + 3)/5
Let d(j) be the third derivative of 4/9*j**3 + 20*j**2 + 0*j - 2/9*j**4 + 0 + 1/18*j**5 - 1/180*j**6. Factor d(n).
-2*(n - 2)**2*(n - 1)/3
Let i(k) be the first derivative of -3/5*k - 1/15*k**3 - 15 - 2/5*k**2. Factor i(g).
-(g + 1)*(g + 3)/5
Solve 0*j + 34/9*j**4 + 0 - 4*j**2 - 302/9*j**3 = 0 for j.
-2/17, 0, 9
Let x(l) = 5 - 1 + 13*l**3 + 11*l**2 + 9 - 3*l + 5*l**4. Let v(i) = i**4 + 3*i**3 + 3*i**2 - i + 3. Let f(b) = -26*v(b) + 6*x(b). Find o, given that f(o) = 0.
-2, 0, 1
Let q = -7243/5 - -1449. Find d such that 2/5*d**2 + 0 + 2/5*d**3 - q*d**5 + 0*d - 2/5*d**4 = 0.
-1, 0, 1
Let q(u) = 6*u**3 + 6*u**2 - 6*u - 6. Let z(h) = -h**5 - 11*h**3 - 13*h**2 + 12*h + 13. Suppose -3*w = 10 - 4. Let y(a) = w*z(a) - 5*q(a). Factor y(l).
2*(l - 2)*(l - 1)*(l + 1)**3
Factor -132*a + 16*a**2 - 61*a**2 + 7*a**3 - 2*a**3 + 127*a + 39 + 6.
5*(a - 9)*(a - 1)*(a + 1)
Let i(f) be the third derivative of 0*f**3 - 16*f**2 + 0 + 0*f**5 + 0*f - 1/32*f**4 + 1/160*f**6. Find z, given that i(z) = 0.
-1, 0, 1
Let l = 2 - 0. Let f = -239 - -246. Determine w, given that -3*w + f*w + 3*w + 4*w**l + 4 + w = 0.
-1
Let v(w) = -3*w**4 + 8*w**2 + 2*w - 2. Let q(g) = -4*g**4 + g**3 + 8*g**2 + 3*g - 3. Let r(c) = -2*q(c) + 3*v(c). Factor r(j).
-j**2*(j - 2)*(j + 4)
Suppose -11*b = 4*i - 12*b - 5, 0 = -5*i + b + 7. Determine f, given that 8/5*f + 8*f**i + 0 + 10*f**3 = 0.
-2/5, 0
Let n(r) be the third derivative of -1/4*r**4 - 12*r**2 - 1/448*r**8 + 0*r**3 - 1/20*r**5 + 0*r + 3/80*r**6 + 1/280*r**7 + 0. Find l such that n(l) = 0.
-2, -1, 0, 2
Let w be 3 + -1 - 2 - ((-16)/(-2) + -8). Suppose w*t + 1/3*t**4 + t**3 + 2/3*t**2 + 0 = 0. Calculate t.
-2, -1, 0
Let o be (-147)/(-42) + (-1)/(-2). Let k(t) be the first derivative of -4 + 3/4*t**o - 1/2*t**6 + t**3 + 0*t + 0*t**2 - 3/5*t**5. Find y such that k(y) = 0.
-1, 0, 1
Let t(s) be the second derivative of -s**6/10 - 21*s**5/2 - 1293*s**4/4 - 1190*s**3 - 1734*s**2 - 286*s. Factor t(x).
-3*(x + 1)**2*(x + 34)**2
Let r(f) be the second derivative of f**7/63 - 2*f**6/15 - 7*f**5/30 + 46*f**4/9 - 16*f**3 + 64*f**2/3 + 3*f - 123. Suppose r(d) = 0. Calculate d.
-4, 1, 4
Let l(c) be the third derivative of 20*c**2 + 0*c**4 - 1/345*c**5 + 0 + 0*c**3 + 0*c - 1/1380*c**6. Factor l(x).
-2*x**2*(x + 2)/23
Let z(q) = -q**3 + 8*q**2. Let d be z(8). Let a be (-22)/(-33) - 12/(-9). Factor -4/11*x + 2/11*x**a + 2/11*x**3 + d.
2*x*(x - 1)*(x + 2)/11
Suppose 0 = 7*i + 7 + 7. Let g be ((-16)/20)/(i/5). Factor 0 + 0*s + s**3 - 1/2*s**g - 1/2*s**4.
-s**2*(s - 1)**2/2
Let z(w) = w**3 + 3*w**2 - 2*w - 2. Let h = -27 + 29. Let y(k) = 6*k**3 + 15*k**2 - 11*k - 9. Let p(r) = h*y(r) - 11*z(r). Factor p(d).
(d - 2)**2*(d + 1)
Let d be 3/(-15)*(-1)/2*5. Solve 3/4*q**2 - 5/4*q**3 + 0 + d*q = 0.
-2/5, 0, 1
Let o(r) be the third derivative of r**8/3360 - r**6/600 + r**4/240 + 75*r**2. Factor o(g).
g*(g - 1)**2*(g + 1)**2/10
Let a(t) = -504*t**2 + 156*t - 15. Let k(l) = 1513*l**2 - 468*l + 44. Suppose 0 = -3*v - 5*v + 24. Let u(p) = v*k(p) + 8*a(p). Suppose u(g) = 0. Calculate g.
2/13
Let i be -2*(-9)/3960*2. Let r(q) be the third derivative of 1/660*q**6 - i*q**5 - 1/33*q**3 + 1/44*q**4 - 5*q**2 + 0*q + 0. Factor r(u).
2*(u - 1)**3/11
Let j(o) be the third derivative of 1/90*o**5 + 0*o - 1/216*o**4 + 2/315*o**7 - 19*o**2 - 13/1080*o**6 - 1/756*o**8 + 0 + 0*o**3. Suppose j(i) = 0. Calculate i.
0, 1/2, 1
What is r in 15 - 27/2*r**2 - 33/2*r**3 + 33/2*r - 3/2*r**4 = 0?
-10, -1, 1
Let y(v) be the second derivative of -v**6/105 - 9*v**5/70 - 25*v**4/42 - 9*v**3/7 - 10*v**2/7 - 348*v. Suppose y(u) = 0. Calculate u.
-5, -2, -1
Suppose 0 = -2*a - 4*d - 76 - 92, -d + 153 = -2*a. Let v = a + 313/4. Determine s so that 0 + 1/4*s - 1/4*s**4 + 1/4*s**2 - v*s**3 = 0.
-1, 0, 1
Let f(s) be the second derivative of s**4/12 - s**3/6 + s**2/2 - s. Let j(g) = 7*g**2 + 68*g + 247. Let x(l) = 2*f(l) - j(l). Factor x(d).
-5*(d + 7)**2
Let h = -673/3 + 225. Suppose 5*u = 7 + 3. Factor 4/9 - 10/9*c**u + h*c.
-2*(c - 1)*(5*c + 2)/9
Let j(k) be the first derivative of k**5/30 - 3*k**4/4 + 9*k**3/2 - 9*k**2 + 804. Factor j(h).
h*(h - 12)*(h - 3)**2/6
Let u = -4/5437 + 38067/10874. Find c such that -1 + 2*c**2 + u*c = 0.
-2, 1/4
Let w(l) = l + 17. Suppose 7 = c + u - 5, 25 = 5*u. Let k be w(c). Factor 3 + k*f**2 - 15*f - 6*f + 21*f**2 - 25*f**3 - 2*f**3.
-3*(f - 1)*(3*f - 1)**2
Let a(y) = -3*y**2 - 4. Let h(o) = o**2 + 2. Let n(x) = -3*a(x) - 8*h(x). Factor n(j).
(j - 2)*(j + 2)
Factor -3/2 + 3/4*z**4 - 15/4*z + 3/4*z**3 - 9/4*z**2.
3*(z - 2)*(z + 1)**3/4
Let c(j) = j**2 - 10*j + 26. Let a be c(4). Let d(g) be the first derivative of -1/10*g**6 - 2 - 3/10*g**a + 0*g**3 + 3/10*g**4 + 0*g + 0*g**5. Factor d(w).
-3*w*(w - 1)**2*(w + 1)**2/5
Let b(o) be the third derivative of -o**8/840 + 4*o**7/525 - o**6/60 + o**5/75 - 50*o**2. What is c in b(c) = 0?
0, 1, 2
Factor -102/5*u - 104/5 + 2/5*u**2.
2*(u - 52)*(u + 1)/5
Let q(m) = -3*m**3 + 55*m**2 + 109*m + 48. Let j(r) = -9*r**3 + 109*r**2 + 219*r + 96. Let f(x) = 3*j(x) - 5*q(x). Factor f(w).
-4*(w - 6)*(w + 1)*(3*w + 2)
Let d be (1/(-4))/(2/12)*-2. Let p(s) be the second derivative of -1/42*s**4 - 1/7*s**2 + 2/21*s**d - s + 0. Solve p(k) = 0.
1
Let k = -29 + 26. Let h(u) = 3*u**2 + 9*u + 8. Let c(w) = -3*w**2 - 9*w - 9. Let d(a) = k*h(a) - 2*c(a). Let d(o) = 0. Calculate o.
-2, -1
Let x(a) = -a**2 - 3*a + 26. Let w be x(-6). Factor -18*i**2 + 8105 + w*i**3 + 4*i - 8105.
2*i*(i - 2)*(4*i - 1)
Suppose -4*x - 7 = 9. Let q be (0 - 0) + (-5 - 22/x). Factor 1/2*f + f**4 - q*f**5 + 0 - f**2 + 0*f**3.
-f*(f - 1)**3*(f + 1)/2
Suppose -3*h + h = -4*a + 16, 3*h = -a + 4. Suppose -2*m = -0*m - h*m. Factor 1/2*w**3 + 1/2*w + m + w**2.
w*(w + 1)**2/2
Suppose -2*m + 18*n + 6 = 16*n, 4*m - 2*n = 14. Let z(s) be the third derivative of 4*s**2 + 0*s + 0 - 1/24*s**m + 1/60*s**5 - 1/3*s**3. Solve z(d) = 0 for d.
-1, 2
Let k(j) be the third derivative of j**8/672 + 3*j**7/280 + 7*j**6/240 + 3*j**5/80 + j**4/48 + 97*j**2. Let k(w) = 0. What is w?
-2, -1, -1/2, 0
Let l(d) = -3*d**2 + 2. Let v(w) = 16*w**2 - 92*w - 1070. Let k(s) = -6*l(s) - v(s). Suppose k(z) = 0. What is z?
-23
Factor -11/2 + 6*y - 1/2*y**2.
-(y - 11)*(y - 1)/2
Suppose -2*m + 5*m = 24. Suppose -m*a + 3*a = 0. Suppose a*x**3 - 7*x**3 + 11*x**4 + x**3 - 3*x**5 - 6*x**2 - 3 + 9*x - 2*x**4 = 0. Calculate x.
-1, 1
Suppose 5*m + 7 - 22 = x, -2*m = -3*x + 7. Let g(f) = f**3 - 4*f**2 + 2*f - 5. Let p be g(m). Factor 0*j**p + 48*j - 3*j**3 + 9*j**3 + 6*j**3 - 51*j**2 - 9.
3*(j - 3)*(j - 1)*(4*j - 1)
Factor 0 + c**3 - 2 - 14*c**2 + 13*c + 6 - 4.
c*(c - 13)*(c - 1)
Factor -85*s**2 + 27*s**5 + 7*s**2 + 70*s**2 + 106*s**4 + 100*s**3.
s**2*(s + 2)**2*(27*s - 2)
Let x(m) = 2*m - 26. Let a be x(13). Let n be (1 + 6)*12/14. Factor 0*q**4 - 5*q**2 - q**4 + 2*q + a*q**2 + 10*q**3 - n*q**3.
-q*(q - 2)*(q - 1)**2
Suppose -4*x - x - 2*u = 375, -3*x + 4*u - 225 = 0. Let q = x - -75. What is y in q - 3/4*y**2 + 1/2*y + 0*y**3 + 1/4*y**4 = 0?
-2, 0, 1
Suppose -6 = 2*h + 4. Let g = h + 5. Determine m so that -6 + g*m**4 + 3*m + 15*m**2 + 15*m**4 - 39*m**3 + 12*m**2 = 0.
-2/5, 1
Let o be (-16)/(-12) - (1136/870 - 0). Let a = o - -246/1595. Factor -2/11*m**2 + a*m + 0.
-2*m*(m - 1)/11
Let m = -4092 + 4092. Factor m*s - 12/7*s**3 + 0 + 8/7*s**2 + 4/7*s**4.
4*s**2*(s - 2)*(s - 1)/7
Factor 2/3*u**2 - 14*u + 36.
2*(u - 18)*(u - 3)/3
Let c(q) be the third derivative of -q**5/15 - 53*q**4/3 - 5618*q**3/3 - 107*q**2. Suppose c(t) = 0. Calculate t.
-53
Let s be (-2 + 0)/(((-4389)/126)/11). Solve s*n**3 + 24/19*n**2 - 14/19*n**4 - 6/19*n**5 + 0 - 16/19*n = 0 for n.
-2, 0, 2/3, 1
Suppose -3*g + 43 = 5*s, -s + 16 = 4*g + 4. Let m be (3 - s)*(2 - (-69)/(-30)). Find v, given that 0*v**2 + m*v**3 + 3/4*v**4 - 3/4 - 3/2*v = 0.
-1, 1
Suppose -3*v = -0*v - 3*h - 42, -6 = -v - 3*h. Suppose 0*r**2 - v*r + 12*r**3 + 6*r**2 + r**4 - 8 - 2*r**2 + 3*r**4 = 0. What is r?
-2, -1, 1
Let l(j) = -j**2 - 33*j - 2*j**2 + 24*j - 3. Let p(i) = 3*i**2 + 10*i + 4. Let z(x) = -4*l(x) - 3*p(x). Factor z(o).
3*o*(o + 2)
Let k(d) be the second deri