at x**2 - 2 + g*x**3 + 3*x**4 + 0*x**3 - p*x - 2*x**4 = 0.
-2, -1, 1
Let k be (1 - (-2 - -4))*306/(-765). Factor 4/5 + k*n**2 + 6/5*n.
2*(n + 1)*(n + 2)/5
Let i(k) = -10 + 7*k**2 - 144*k**3 + 3 + 155*k**3 - k. Let h(j) = -5*j**3 - 3*j**2 + j + 3. Let m be (-5)/2*24/30. Let a(f) = m*i(f) - 5*h(f). Factor a(u).
(u - 1)*(u + 1)*(3*u + 1)
Let j(z) be the third derivative of -z**5/90 + 41*z**4/18 - 1681*z**3/9 - 141*z**2. Suppose j(d) = 0. Calculate d.
41
Suppose 0 = -4*y + j + 8, 5 + 10 = y + 3*j. Determine p, given that -p**3 - 2 + 5*p**4 + 5*p - 4*p**4 + 0*p**2 - y*p**2 = 0.
-2, 1
Let i(b) be the second derivative of 1/231*b**7 + 1/110*b**5 + 2/165*b**6 + 0*b**4 + 0*b**2 + 18*b + 0 + 0*b**3. What is s in i(s) = 0?
-1, 0
Let b = -8 - -11. Suppose b*y = 8*y - 530. Factor 672*l**4 + 384*l**2 - 660*l**3 - 27*l**5 - y*l**5 - 276*l**3 - 14*l**5 - 48*l.
-3*l*(l - 2)**2*(7*l - 2)**2
Let l(t) = -45*t + 17. Let o be l(2). Let i = 223/3 + o. Solve -4/3*f**4 + 4/3*f**2 - i*f + 0 + 1/3*f**5 + f**3 = 0.
-1, 0, 1, 2
Let w be 240/175 + 57/38*(-32)/84. Let -2/5*j**2 - w*j + 6/5 = 0. Calculate j.
-3, 1
Let v = 19 - 31. Let a(f) = -f**2 - f - 1. Let p(u) = -14*u**2 - 2*u. Let j(b) = v*a(b) + p(b). Factor j(r).
-2*(r - 6)*(r + 1)
Let m(q) be the first derivative of -18*q**5/65 + 29*q**4/26 - 22*q**3/13 + 15*q**2/13 - 4*q/13 - 77. Factor m(v).
-2*(v - 1)**3*(9*v - 2)/13
Let u(n) = -13 + 3*n - 11*n + 4 + 2*n**3 - 3*n - 10*n**2. Let p(l) = l**3 + l**2 - l + 1. Let j(k) = 15*p(k) + 3*u(k). Factor j(d).
3*(d - 2)*(d + 1)*(7*d + 2)
Let r(c) be the first derivative of -c**6/16 - 21*c**5/8 - 27*c**4 + 81*c**3/2 + 214. Factor r(i).
-3*i**2*(i - 1)*(i + 18)**2/8
Let t(w) be the second derivative of -10*w + 0*w**2 + 1/9*w**3 - 1/30*w**5 + 0*w**4 + 2. Find h such that t(h) = 0.
-1, 0, 1
Let t(l) = -12*l**3 + 8*l**2 + 22*l - 10. Let w(n) = n**3 - n**2 - n + 1. Let z(d) = -t(d) - 10*w(d). Suppose z(r) = 0. What is r?
-3, 0, 2
Factor -6827*b**2 + 2*b**3 - 100 - 6813*b**2 + 90*b + 13616*b**2.
2*(b - 5)**2*(b - 2)
Let s = 24615/2 - 12307. Factor s + 1/8*h**2 - 1/2*h.
(h - 2)**2/8
Let f(j) = -3*j**2 + 11*j - 13. Let o(x) = -5*x**2 + 16*x - 19. Let d(z) = 8*f(z) - 5*o(z). Solve d(v) = 0 for v.
-9, 1
Suppose 37 - 2 = 7*n. Factor -30*w**2 - 8*w**3 + 68*w**3 + 6*w**4 + 5*w - 56*w**4 - 5*w**n + 20*w**5.
5*w*(w - 1)**3*(3*w - 1)
Let h(z) be the third derivative of 32/5*z**5 - 7/16*z**8 + 0*z**3 - 2*z**4 - 39/5*z**6 + 5*z**2 + 0*z + 0 + 16/5*z**7. Factor h(l).
-3*l*(l - 2)**2*(7*l - 2)**2
Find i, given that -i**3 + 161*i + 784*i - 1682 + 3*i**3 - 118*i**2 + 853*i = 0.
1, 29
Let p(t) = -t**3 + 4*t**2 + 23*t - 14. Let z be p(7). Let o = 29/6 - 13/3. Determine q so that -o*q**2 + 0*q - q**3 + z - 1/2*q**4 = 0.
-1, 0
Let l(m) be the first derivative of -m**5/15 + m**4/4 + 61. Suppose l(d) = 0. What is d?
0, 3
Let n(i) be the third derivative of i**8/336 - 7*i**6/120 + i**5/10 + 22*i**2. Find p, given that n(p) = 0.
-3, 0, 1, 2
Let p(n) be the third derivative of 5*n**7/42 + 113*n**6/24 + 349*n**5/12 + 635*n**4/24 - 95*n**3 - 84*n**2 - 2. Determine a, given that p(a) = 0.
-19, -3, -1, 2/5
Let n(q) be the third derivative of -q**5/90 + 13*q**4/18 - 25*q**3/9 - 3*q**2 + 32. Determine f so that n(f) = 0.
1, 25
Suppose 11*i + 15*i - 56 = 12*i. Determine f, given that f + 0 - 4*f**2 + f**i - 1/4*f**3 = 0.
-2, 0, 1/4, 2
Let z(m) be the third derivative of -5/8*m**4 + 3/20*m**5 + 0*m + 0 - 25/6*m**3 + 17*m**2 - 1/120*m**6. Factor z(o).
-(o - 5)**2*(o + 1)
Let r(y) = y**2 - 7*y + 14. Let o be r(3). Let v(p) be the first derivative of 2/15*p**3 + 0*p - 14/25*p**5 + 5 - 4/15*p**6 + 0*p**o - 1/5*p**4. Factor v(w).
-2*w**2*(w + 1)**2*(4*w - 1)/5
Factor -45*u**3 + 38 - 2*u**4 - 38 - 5*u**5 - 28*u**4.
-5*u**3*(u + 3)**2
Factor 3*j**2 - 9*j**2 - 24 + 2*j**3 - 64*j + 4*j**3 + 4*j**3.
2*(j - 3)*(j + 2)*(5*j + 2)
Let v be -3*2/(-4)*69/414. What is w in 1/8*w**2 + v + 3/8*w = 0?
-2, -1
Let u = 2288/7 - 326. Let f(a) be the first derivative of -2/21*a**3 - 3 + u*a**2 - 18/7*a. Factor f(s).
-2*(s - 3)**2/7
Let a be -3 + -1 - (-72)/15. Let g(o) be the second derivative of 0*o**3 + 0 - 11*o - 1/30*o**4 + a*o**2. Let g(i) = 0. What is i?
-2, 2
Let i(f) = 57*f**5 - 26*f - 50*f**5 + 13*f**4 + 5 - 11 - 26*f**2 + 6*f**3. Let b(h) = -h**5 - h**4 - h**2 - h + 1. Let r(g) = -6*b(g) - i(g). Factor r(n).
-n*(n - 2)*(n + 1)*(n + 4)**2
Let 0 - 194/7*d**3 - 48/7*d + 18/7*d**4 - 260/7*d**2 = 0. Calculate d.
-1, -2/9, 0, 12
Let y(o) be the first derivative of -o**5/40 + o**4/8 + 2*o**3 + 3*o**2/2 - 9. Let p(i) be the second derivative of y(i). Factor p(j).
-3*(j - 4)*(j + 2)/2
Let n(t) = 2*t - 4. Let j(g) = -3*g + 10. Let l be j(4). Let r(k) = -k**2 + k - 1. Let w(a) = l*n(a) + 4*r(a). Find m, given that w(m) = 0.
-1, 1
Let c(u) be the first derivative of -u**6/840 - u**5/140 - u**4/56 - u**3/42 - 35*u**2/2 + 17. Let b(s) be the second derivative of c(s). Factor b(m).
-(m + 1)**3/7
Let o be 0 - 1/(-8) - 102/(-272). Let k(g) be the second derivative of -1/48*g**4 + 0 - 1/80*g**5 + 1/6*g**3 + o*g**2 - 6*g. Determine d so that k(d) = 0.
-2, -1, 2
Let w = 0 - 2. Let g be ((-21)/w)/((-3)/(-6)). Factor -3*d**5 - 155*d**3 + 6*d + 98*d**3 + g*d**4 - 54*d + 12 + 75*d**2.
-3*(d - 2)**2*(d - 1)**3
Let v(f) = 3*f**4 + 90*f**3 + 163*f**2 + 92*f - 8. Let d(i) = i**4 + 30*i**3 + 54*i**2 + 31*i - 3. Let m(s) = 8*d(s) - 3*v(s). Factor m(o).
-o*(o + 1)**2*(o + 28)
Let f(q) be the third derivative of 0*q**3 + 21*q**2 + 7/15*q**5 + 2/21*q**7 - 3/10*q**6 - 1/84*q**8 - 1/3*q**4 + 0*q + 0. Factor f(z).
-4*z*(z - 2)*(z - 1)**3
Let l(h) be the first derivative of 4*h**5/25 - 8*h**4/5 + 4*h**3/3 + 28*h**2/5 - 81. Let l(q) = 0. Calculate q.
-1, 0, 2, 7
Factor 0*x**2 - 6/19*x**4 + 4/19*x**3 + 0*x + 2/19*x**5 + 0.
2*x**3*(x - 2)*(x - 1)/19
Let i(c) be the third derivative of 2/315*c**7 + 0*c**4 + 0 - 1/30*c**6 + 0*c**3 - 15*c**2 + 2/45*c**5 + 0*c. Factor i(n).
4*n**2*(n - 2)*(n - 1)/3
Let h(b) be the second derivative of 0 + 2/135*b**5 - 7/2*b**2 - 2/27*b**3 - 6*b - 7/108*b**4. Let r(q) be the first derivative of h(q). Solve r(y) = 0.
-1/4, 2
Let o(k) be the first derivative of 2/9*k**3 + 4/3*k - 3 + k**2. Find v, given that o(v) = 0.
-2, -1
Find j such that -56/13 + 144/13*j - 10/13*j**2 = 0.
2/5, 14
Let u(a) = a**3 - 9*a**2 + a + 13. Let m be u(9). Factor 3*i**2 + 11*i - m*i + 8*i - 6.
3*(i - 2)*(i + 1)
Let m be (7/(-14))/(4/8). Let b be 85/70 + m - 4/(-14). Factor 0 + 0*p**4 - 1/2*p**5 + b*p**3 + 0*p + 0*p**2.
-p**3*(p - 1)*(p + 1)/2
Let l be (-20)/(-8)*-1 + 3. Let c be (18/8)/(12/8). Factor -c*b**3 + 0 + 0*b + 1/2*b**2 + 3/2*b**4 - l*b**5.
-b**2*(b - 1)**3/2
Factor -4/3*w + 5*w**2 + 0 + 7/3*w**4 - 6*w**3.
w*(w - 1)**2*(7*w - 4)/3
Let f be ((-30)/24 + 2 + -1)/(-1). Factor -1/2 + 3/4*m - f*m**2.
-(m - 2)*(m - 1)/4
Let p(q) be the second derivative of 0 + 0*q**4 - 1/80*q**5 + 0*q**2 + 5*q - 1/168*q**7 + 0*q**3 + 1/60*q**6. Factor p(x).
-x**3*(x - 1)**2/4
Suppose 4*b + 0 = f + 2, 9 = 2*f + 5*b. Let s = -6 + 9. Factor -6*g + 14*g**3 - 2*g**2 + f - 4*g**s - g - 3*g.
2*(g - 1)*(g + 1)*(5*g - 1)
Let b(c) = -7*c**2 - 53*c - 10. Let w(l) = -15*l**2 - 107*l - 20. Let a(s) = 5*b(s) - 2*w(s). Find p such that a(p) = 0.
-10, -1/5
Let y(p) be the first derivative of -1/3*p**4 + 0*p**3 - 1 - 6*p**2 - 1/15*p**5 + 0*p. Let w(j) be the second derivative of y(j). Let w(f) = 0. What is f?
-2, 0
Let h = -176 + 181. Let d(m) be the second derivative of 1/16*m**3 + 0*m**4 - 1/8*m**2 - 1/160*m**5 + 0 + h*m. Suppose d(l) = 0. What is l?
-2, 1
Let 0 - 4/9*r**4 - 4/3*r**3 + 16/9*r + 0*r**2 = 0. Calculate r.
-2, 0, 1
Let p = 5 - 105. Let i = 103 + p. Suppose 12/7*m**4 - 18/7*m**2 + i*m**3 + 6/7 - 3*m = 0. Calculate m.
-2, -1, 1/4, 1
Let u be 8*((-10)/(-4))/5. Suppose -3 = 2*w - 9. Let 14*g**4 + 9*g**u + g**3 - 6*g**2 - 8*g**4 + 8*g**w = 0. Calculate g.
-1, 0, 2/5
Let o(s) be the third derivative of -s**8/3696 - s**7/385 - s**6/120 - s**5/330 + s**4/22 + 4*s**3/33 - 10*s**2 - 4*s. Factor o(r).
-(r - 1)*(r + 1)*(r + 2)**3/11
Let s(d) = -5*d**3 - d. Let c(h) = -36*h**3 - 8*h. Let p = 40 - 34. Let o(g) = p*c(g) - 44*s(g). Suppose o(l) = 0. What is l?
-1, 0, 1
Let w(s) be the third derivative of -1/220*s**6 - 1/1848*s**8 + 0*s**3 - 16*s**2 + 0*s + 4/1155*s**7 + 0 - 2/165*s**5 + 1/33*s