3668*l - 18834*l**2 = 0.
-58, 1
Let s(x) be the second derivative of -2/9*x**3 - 7*x + 0 + x**2 + 1/15*x**5 + 1/45*x**6 - 2/9*x**4. Let s(r) = 0. What is r?
-3, -1, 1
Suppose -72/5 + 44/5*f - 4/5*f**2 = 0. What is f?
2, 9
Let m(a) be the second derivative of 8*a - 11/10*a**6 + 0 + 133/2*a**3 + 3/2*a**5 + 1/14*a**7 + 53/2*a**4 + 147/2*a**2. Factor m(t).
3*(t - 7)**2*(t + 1)**3
Let b be ((-5)/15)/((-2)/6). Factor 1 - 6 + 6 - x**2 + b + x.
-(x - 2)*(x + 1)
Let u = 8 - 4. Let k(r) = r**2 + 46*r + 336. Let o be k(-37). Factor 1/3*c - 7/3*c**u + 19/3*c**o - 5*c**2 + 2/3.
-(c - 1)**3*(7*c + 2)/3
Let b = 8 + -4. Suppose -8 = -a - b*v, a + 5*v - 6 = 3. Factor 0*f + 0 + 9/2*f**a + 9/2*f**3 + 3/2*f**5 + 3/2*f**2.
3*f**2*(f + 1)**3/2
Let s(n) be the second derivative of -n**8/168 - n**7/105 + n**6/30 - 10*n**2 - 20*n - 2. Let g(d) be the first derivative of s(d). Factor g(l).
-2*l**3*(l - 1)*(l + 2)
Let x(y) = -y**3 - 26*y**2 - 28*y - 55. Let f be x(-25). Let w be f/(-5) - 51/(-12). Let -d**2 + 0*d + d**3 - w*d**4 + 0 = 0. What is d?
0, 2
Suppose 26*y - 23*y - 9 = 0. Factor 5*c + 0 - 5/2*c**y + 5/2*c**2.
-5*c*(c - 2)*(c + 1)/2
Let i(w) be the second derivative of -w**9/52920 + w**8/11760 + 8*w**4/3 + 41*w. Let l(z) be the third derivative of i(z). Determine c, given that l(c) = 0.
0, 2
Suppose 2161*i + 3 - 1 = 2162*i. Suppose -4/9*u**i - 4/9 + 8/9*u = 0. What is u?
1
Suppose -1 - 3 = r. Let s(m) = m**2 - 6*m - 3. Let d(t) be the first derivative of 3*t**2 + 3*t + 9. Let k(v) = r*d(v) - 3*s(v). Factor k(p).
-3*(p + 1)**2
Let c(k) be the second derivative of -k**5/60 + k**4/12 - k**3/6 + k**2/6 - 2*k - 3. Factor c(o).
-(o - 1)**3/3
Let o = 449/10 + -89/2. Let q(t) be the first derivative of o*t**5 - 2 - 4/3*t**3 + 0*t**4 + 2*t + 0*t**2. Factor q(u).
2*(u - 1)**2*(u + 1)**2
Let t = -311 - -317. Let v(y) be the second derivative of 1/6*y**4 + 4/9*y**3 + 1/2*y**2 + 0*y**5 + 0 - 1/90*y**t + 8*y. Factor v(j).
-(j - 3)*(j + 1)**3/3
Let a = -48 + 1681/35. Let f(q) be the second derivative of 1/7*q**3 - 1/35*q**6 - q - 1/147*q**7 + 1/21*q**4 + 1/7*q**2 + 0 - a*q**5. Factor f(d).
-2*(d - 1)*(d + 1)**4/7
Let y(b) be the second derivative of 23*b + b**4 + 2/5*b**6 - 1/14*b**7 + 0*b**2 + 0 - 1/2*b**3 - 9/10*b**5. Factor y(w).
-3*w*(w - 1)**4
Let s = -29184 - -29186. Suppose -s + 35/2*p**2 + 2*p = 0. What is p?
-2/5, 2/7
Let z = 80454 + -18504359/230. Let i = z - 3/46. Suppose 1/5 - i*v**2 - 1/5*v + 1/5*v**3 = 0. Calculate v.
-1, 1
Factor 3*v - 1 + 9/4*v**4 - 5/4*v**2 - 3*v**3.
(v - 1)*(v + 1)*(3*v - 2)**2/4
Let h(v) be the second derivative of 0 - 1/5*v**5 + 2/3*v**3 + 25*v - 2*v**2 + 1/3*v**4. Find f such that h(f) = 0.
-1, 1
Let z(x) be the second derivative of 17*x + 0*x**2 - 1/14*x**7 + 0*x**3 + 1/10*x**6 + 0 + 3/20*x**5 - 1/4*x**4. Solve z(k) = 0.
-1, 0, 1
Suppose 7*i = 9*i + 2. Let b = -1 - i. Factor b + 0 + 2*h**2 - 3*h**2 - h.
-h*(h + 1)
Factor 146/7*c - 2/7*c**3 - 144/7 + 0*c**2.
-2*(c - 8)*(c - 1)*(c + 9)/7
Solve -2/3*y**2 + 11/3*y - 1/3*y**5 - 5/3 + 7/3*y**4 - 10/3*y**3 = 0.
-1, 1, 5
Let w = -188 - -190. Let t(p) be the third derivative of -5*p**w + 0 + 0*p**4 + 0*p + 0*p**3 + 1/180*p**6 - 1/90*p**5. Factor t(h).
2*h**2*(h - 1)/3
Let j(z) be the third derivative of -z**4/24 + 35*z**3/6 - 4*z**2 + 3*z. Let o be j(35). Solve 2/3*a**5 + 0*a + 8/3*a**4 + o*a**2 + 0 + 8/3*a**3 = 0 for a.
-2, 0
Let b(x) be the first derivative of -2*x**3/27 + 2*x**2/9 + 16*x/3 + 314. Let b(p) = 0. What is p?
-4, 6
Let u be (-3)/((-6)/(-4)) - (-192)/69. Let j = u + -13/46. Suppose 0 + j*i**3 + 2*i**2 + 3/2*i = 0. What is i?
-3, -1, 0
Suppose 49*t - 46 = 26*t. Factor 4/7*s**t + 3/7*s**3 - 4/7*s**4 + 0 + 1/7*s**5 - 4/7*s.
s*(s - 2)**2*(s - 1)*(s + 1)/7
Let x be 2/(-8) - (-1 + 0). Let j = -983/10 - -494/5. Solve -3/4*q**4 - 1/2*q**3 + x*q + 1/4 + j*q**2 - 1/4*q**5 = 0.
-1, 1
Let h(w) be the third derivative of 0*w + 2/3*w**4 - 1/5*w**5 + 8/3*w**3 - 14*w**2 + 0. Factor h(g).
-4*(g - 2)*(3*g + 2)
Let p be 18/4 - 9/36. Let v = -145/36 + p. Factor 2/9*y + 0 - v*y**2.
-2*y*(y - 1)/9
Let r(v) be the third derivative of v**5/75 + 11*v**4/10 + 287*v**2. Factor r(o).
4*o*(o + 33)/5
Let s(b) be the third derivative of -b**6/120 - b**5/20 - b**4/12 + 433*b**2. Factor s(p).
-p*(p + 1)*(p + 2)
Let g(f) = 5*f**2. Let j(k) = 11*k**2 - k. Let a(n) = -9*g(n) + 4*j(n). Suppose a(b) = 0. What is b?
-4, 0
Let p be (-111)/(-18) + (-5 - (-5 + 4)*-1). Solve -7/6*u**2 + 0 - u + 0*u**3 + p*u**4 = 0.
-2, -1, 0, 3
Let s(q) be the second derivative of q**7/210 - q**6/15 + 4*q**5/15 - 5*q**3/2 + q - 3. Let a(o) be the second derivative of s(o). Find h such that a(h) = 0.
0, 2, 4
Let s(m) = -15*m**2 - 336*m - 447. Let u(d) = d**2 + 21*d + 28. Let c(n) = 2*s(n) + 33*u(n). Determine g so that c(g) = 0.
-5, -2
Suppose 20*w**4 - 3 + 232*w**3 + 624*w**2 - 288*w - 6 + 9 = 0. Calculate w.
-6, 0, 2/5
Suppose -11 - 29 = -4*x. Suppose x*y - 15*y = -15. Factor -6*r - r**2 + y*r**3 - 8*r**2 + 7*r**3 + 5*r**3.
3*r*(r - 1)*(5*r + 2)
Let o(x) be the third derivative of -x**7/420 + x**6/80 - x**4/12 + 2*x**2 + 15. Find d such that o(d) = 0.
-1, 0, 2
Let g(z) be the second derivative of -z**4/3 - 32*z**3/3 - 128*z**2 + z - 2. Factor g(n).
-4*(n + 8)**2
Let c be (-68)/(-7) - (4 - (-60)/(-14)). Find n such that 5*n**5 - 9*n + 4*n**2 - c*n**4 + 6*n**2 + 3*n + n = 0.
-1, 0, 1
Suppose -4*x = 2*x - 4*x. Let -4/11*a**3 + x*a + 0 + 2/11*a**2 + 4/11*a**5 - 2/11*a**4 = 0. Calculate a.
-1, 0, 1/2, 1
Find b, given that 48*b + 261*b + 117*b**2 + 2*b**3 + 211*b + 53*b**2 + 648 + 136*b = 0.
-81, -2
Let r be 4*1 - (-4)/((-11)/(77/28)). Factor -2/5*l - 4/5*l**2 + 0 - 2/5*l**r.
-2*l*(l + 1)**2/5
Let h(g) be the second derivative of g**7/336 - g**6/80 + g**5/80 + g**4/48 - g**3/16 + g**2/16 + 108*g. Let h(r) = 0. What is r?
-1, 1
Let v(m) = m**5 - m**4 - m**3 + m**2. Let u(t) = -4*t**5 + 10*t**4 - 2*t**3 - 10*t**2 + 6*t. Let d(o) = -u(o) - 2*v(o). Determine w, given that d(w) = 0.
-1, 0, 1, 3
Let q(i) be the first derivative of i**5/330 - i**4/33 + 11*i**2 + 10. Let m(c) be the second derivative of q(c). Factor m(k).
2*k*(k - 4)/11
Let t(f) be the first derivative of 1/10*f**6 + 34 + 0*f + 2/5*f**3 - 3/10*f**2 - 6/25*f**5 + 0*f**4. Factor t(q).
3*q*(q - 1)**3*(q + 1)/5
Let f = 16896 + -84478/5. Let 0 + 0*r + 1/5*r**4 - f*r**3 - 1/5*r**2 + 2/5*r**5 = 0. What is r?
-1, -1/2, 0, 1
Let l be 5 - (1 - 6 - (-22 + 16)). Factor 0 - 3*h**3 - 7/3*h**2 - 2/3*h - 5/3*h**l - 1/3*h**5.
-h*(h + 1)**3*(h + 2)/3
Let q(f) be the second derivative of 0*f**2 + 3/50*f**5 - 4/15*f**3 + 0 + 1/105*f**7 + 1/6*f**4 - 1/15*f**6 - 7*f. Determine p, given that q(p) = 0.
-1, 0, 1, 4
Let j(m) be the second derivative of 2*m**6/105 - 11*m**5/35 - 56*m. Suppose j(t) = 0. Calculate t.
0, 11
Let 32/9*r**2 + 128/9*r + 0 + 2/9*r**3 = 0. Calculate r.
-8, 0
Let t = -16 + 23. Let r = t + -5. Factor -2 - 4*j**2 + 2*j**3 - 4*j**3 + r.
-2*j**2*(j + 2)
Let v(a) be the third derivative of -a**5/75 - 4*a**4/5 + 10*a**3/3 + 90*a**2 + 3. Factor v(h).
-4*(h - 1)*(h + 25)/5
Let s(w) be the second derivative of -w**7/21420 + w**6/1530 - w**5/340 + w**4/4 - 11*w. Let h(b) be the third derivative of s(b). Solve h(v) = 0 for v.
1, 3
Find b, given that -2*b**4 - 38*b**3 - 83*b**2 - 91*b**2 - 56 - 48 - 242*b = 0.
-13, -4, -1
Let v(y) be the second derivative of -1/210*y**5 + 1/126*y**4 + 0 + 20*y + 0*y**2 + 2/21*y**3. Factor v(i).
-2*i*(i - 3)*(i + 2)/21
Let v = -838 + 841. Let i(k) be the first derivative of 0*k - 1/14*k**4 - 2/7*k**v + 10 - 2/7*k**2. Factor i(j).
-2*j*(j + 1)*(j + 2)/7
Let l(g) = -g**2 + 3*g + 5. Let o be l(4). Let u be (o/(-1) - (3 + -2))*-2. Factor 0 - w**2 + 7/5*w**3 + 1/5*w - 3/5*w**u.
-w*(w - 1)**2*(3*w - 1)/5
Let l = 25228313/98452 - -3/24613. Let o = l + -255. Factor -1/4 - o*f - f**3 - 2*f**2.
-(f + 1)*(2*f + 1)**2/4
Let a(t) be the first derivative of 17 + 0*t**2 + 0*t + 1/6*t**4 + 4/9*t**3. Factor a(q).
2*q**2*(q + 2)/3
Let t(f) be the first derivative of f**4/28 - 3*f**2/14 - 2*f/7 - 113. Solve t(k) = 0.
-1, 2
Let j(w) be the third derivative of -w**6/10 + 11*w**5/15 + 2*w**4/3 + 6*w**2. Solve j(u) = 0 for u.
-1/3, 0, 4
Factor 788*m**2 - 407*m**2 + 2*m**3 + 2*m**4 - 401*m**2 + 16*m.
2*m*(m - 2)*(m - 1)*(m + 4)
Let f(w) be the second derivative of 2*w**7/21 - 6*w**6/5 + 3