 given that 26*x**2 - 18*x**2 - 10*x**2 - 4*x + 6 = 0.
-3, 1
Let l = -48/77 + 586/693. Factor l*z**2 + 2/9 + 4/9*z.
2*(z + 1)**2/9
Let i(f) be the third derivative of -f**5/390 - f**4/78 + 12*f**2. Suppose i(o) = 0. Calculate o.
-2, 0
Let n(b) be the second derivative of -b**7/280 + b**6/120 + b**5/20 - 2*b**3/3 - 2*b. Let a(t) be the second derivative of n(t). Find v such that a(v) = 0.
-1, 0, 2
Let a(p) be the first derivative of -p**6/2 - 2*p**5 - 3*p**4 - 2*p**3 - p**2/2 + 38. Determine g so that a(g) = 0.
-1, -1/3, 0
Let v = 14 + -10. Let r(i) be the second derivative of 0*i**3 - 1/18*i**v + 0 - 1/30*i**5 + 2*i + 0*i**2. Solve r(p) = 0 for p.
-1, 0
Let p(g) = -8*g**3 - 7*g**2 + 4. Let m = -2 - -8. Let x(s) = 15*s**3 - s - 6*s**3 + 2*s**2 - 5 + 5*s**2. Let u(z) = m*p(z) + 5*x(z). Factor u(h).
-(h + 1)**2*(3*h + 1)
Let k(j) be the third derivative of -j**5/210 + j**3/21 + 9*j**2. Factor k(c).
-2*(c - 1)*(c + 1)/7
Let o(g) be the second derivative of -3*g - 1/15*g**6 + 1/42*g**7 - 1/6*g**3 + 0*g**2 + 1/6*g**4 + 0*g**5 + 0. What is j in o(j) = 0?
-1, 0, 1
Let p be (2 - 7)*3/(-3). Suppose f - p = -0*f. Factor -12*i**2 + 13*i**3 - 2 - 4*i + 5*i - f*i**3 + 7*i - 2*i**4.
-2*(i - 1)**4
Let l(n) be the first derivative of n**6/33 - 6*n**5/55 + 3*n**4/22 - 2*n**3/33 - 7. Factor l(g).
2*g**2*(g - 1)**3/11
Suppose -18 + 2 = -4*a. Determine g, given that 1/4*g**a + 0*g**2 + 1/2*g**3 + 0*g + 0 = 0.
-2, 0
Suppose -32*w + 28*w + 16 = 0. Let b(s) be the first derivative of -1/10*s**w + 0*s - 2 - 2/5*s**2 - 2/5*s**3. Factor b(o).
-2*o*(o + 1)*(o + 2)/5
Let a(g) = -g**3 + 13*g**2 + g - 16. Let u be a(13). Let s be -2 + -1 + (-9)/u. Factor 0 - w**3 - 2/5*w**2 + s*w - 3/5*w**4.
-w**2*(w + 1)*(3*w + 2)/5
Suppose -4*d - 15 = -3*d. Let h be (d/(-6))/(1/(-2)). Let x(j) = 2*j**3 + 11*j**2 + 2*j. Let q(b) = -b**3 - b**2 - b. Let u(a) = h*q(a) - x(a). Factor u(o).
3*o*(o - 1)**2
Let y(k) = k. Let b be (3 + 2)*(0 + 1). Let o(i) = 2*i**2 + 9*i. Let g(p) = b*y(p) - o(p). Solve g(x) = 0.
-2, 0
Let y = 125 - 86. Let v = 119/3 - y. Factor -2*l**3 + v*l**4 + 0 + 4/3*l**2 + 0*l.
2*l**2*(l - 2)*(l - 1)/3
Let f = 11 - 7. Factor i - 4*i**2 + 2*i**4 + i + 7*i**2 - 3*i**f.
-i*(i - 2)*(i + 1)**2
Let l(o) be the first derivative of 35*o**6/6 - 2*o**5 - 105*o**4/4 - 40*o**3/3 + 10*o**2 - 16. Suppose l(y) = 0. Calculate y.
-1, 0, 2/7, 2
Let n(w) be the second derivative of 1/30*w**4 - 1/5*w**3 + 2/5*w**2 + 0 + 3*w. Factor n(g).
2*(g - 2)*(g - 1)/5
Let k(s) be the second derivative of -s**5/100 - s**4/20 - s**3/10 - s**2 + 2*s. Let y(a) be the first derivative of k(a). Let y(g) = 0. What is g?
-1
Let b = 279/20 + -55/4. Let c be -3 - 9/(0 + -3). Factor -2/5*h**2 + b*h + 2/5*h**4 + c*h**3 - 1/5*h**5 + 0.
-h*(h - 1)**3*(h + 1)/5
Let u(p) = -5*p**4 - 3*p**3 - 7*p**2 + 3*p. Let t(l) = -16*l**4 - 8*l**3 - 22*l**2 + 10*l. Let z(i) = 3*t(i) - 10*u(i). Solve z(v) = 0 for v.
-2, -1, 0
Let h = -130 + 133. Factor -16/5*d - 14/5*d**h + 38/5*d**2 - 8/5.
-2*(d - 2)*(d - 1)*(7*d + 2)/5
Let w(f) = 6*f**3 - 6*f - 11. Let i(a) = 0*a - 2*a**3 + 2*a + 4 + 0*a**3. Let t(n) = -11*i(n) - 4*w(n). Let t(j) = 0. Calculate j.
-1, 0, 1
Let d(y) be the third derivative of y**6/40 - y**4/8 - 2*y**2. Factor d(a).
3*a*(a - 1)*(a + 1)
Let l be (((-6)/(-160))/1)/((-18)/(-8)). Let k(g) be the third derivative of 1/300*g**6 + 0*g**3 + l*g**4 - 2*g**2 - 1/75*g**5 + 0 + 0*g. What is x in k(x) = 0?
0, 1
Let a(o) be the first derivative of o**3/6 - 3*o**2/2 - 6. Solve a(p) = 0.
0, 6
Let i(x) = -x**3 - 8*x**2 + 8*x - 2. Let c be i(-9). Let a be (c/21)/((-1)/(-12)). Solve -q**2 + a*q**2 - 4*q - q**2 + 2 = 0 for q.
1
Suppose q = 0, 0 = 3*u + 6*q - 2*q - 45. Let y be 5/3*u/5. Let -2/9*h**y - 4/9*h**4 + 0*h + 0 + 0*h**3 + 0*h**2 = 0. Calculate h.
-2, 0
Let b(t) be the first derivative of -11*t**3/18 + 7*t**2/4 + t/3 - 14. Suppose b(g) = 0. What is g?
-1/11, 2
Let j(v) be the first derivative of 5*v**3/9 - 5*v**2/3 + 5*v/3 - 3. Factor j(u).
5*(u - 1)**2/3
Let q(j) = 3*j**2 + 7*j + 19. Let n(h) = 2*h**2 + 4*h + 9. Let f(t) = -9*n(t) + 4*q(t). Let p(r) = -5*r**2 - 7*r - 4. Let l(w) = 2*f(w) - 3*p(w). Factor l(o).
(o + 1)*(3*o + 2)
Let x(o) be the second derivative of -o**4/30 + 2*o**3/5 - 9*o**2/5 + 10*o. Let x(i) = 0. Calculate i.
3
Suppose 0 = -3*h + 3*j + 12, 2*h + 15 = 6*h - 5*j. Let k(m) = -2*m**3 - m. Let z be k(-1). Factor 1/2*p**z - 1/2*p**h - 1/2*p**4 + 0 + 0*p + 1/2*p**2.
-p**2*(p - 1)*(p + 1)**2/2
Let t(g) be the second derivative of -g**5/70 - g**4/42 + g**3/21 + g**2/7 - 2*g. Let t(j) = 0. Calculate j.
-1, 1
Let q(g) = -2*g**2 + g + 5. Let o(b) = b**2 - 2*b - 4. Let d be 0 + -2 + -6 - -3. Let j(x) = d*o(x) - 4*q(x). Solve j(h) = 0.
-2, 0
Let c = -15 + 12. Let v(r) = r + 5. Let d be v(c). Suppose 0 + 1/4*x**d + 1/4*x = 0. Calculate x.
-1, 0
Let j(x) = 8*x**3 - 64*x**2 - 7*x. Let n(h) = -4*h**3 + 32*h**2 + 3*h. Let l(c) = -3*j(c) - 7*n(c). Factor l(o).
4*o**2*(o - 8)
Let k(a) be the first derivative of 0*a + 0*a**3 - 1/4*a**4 + 0*a**2 - 2. Factor k(q).
-q**3
Let g = -8 - -12. What is s in -2/3*s + 0 + 0*s**g + 4/3*s**3 - 2/3*s**5 + 0*s**2 = 0?
-1, 0, 1
Suppose -3*x + 1 = -0*x - c, -5 = 2*x + 5*c. Suppose x = -5*p + p. Factor p - 2/7*i + 2/7*i**2.
2*i*(i - 1)/7
Let m(x) = x**2 - 11*x + 4. Let f be m(11). Let p(n) be the first derivative of 0*n**f + 1/3*n + 1 - 2/9*n**3 + 0*n**2 + 1/15*n**5. What is r in p(r) = 0?
-1, 1
Let n(w) = -2*w**4 + 14*w**3 - 30*w**2 + 36*w + 2. Let i(j) = -j - 1. Let x(b) = 10*i(b) + n(b). Let x(r) = 0. Calculate r.
1, 4
Suppose -4 = -5*q - 4*d, -3 = 2*q - 4*d + 1. Suppose -j - 4*v + 5 + 5 = 0, -2*v + 4 = q. Factor -f**j + 1/2 + 1/2*f.
-(f - 1)*(2*f + 1)/2
Let p(t) = 6*t**4 - 5*t**3 - 7*t**2 - 7*t - 7. Let a(b) = -2*b**4 + 2*b**3 + 2*b**2 + 2*b + 2. Let c(h) = -7*a(h) - 2*p(h). Factor c(r).
2*r**3*(r - 2)
Let r(z) be the third derivative of -z**6/90 - 13*z**5/540 - z**4/216 - 9*z**2 - 2. Find n such that r(n) = 0.
-1, -1/12, 0
Let i(x) be the second derivative of -x**6/10 + 9*x**5/20 - 3*x**4/4 + x**3/2 - 4*x. Factor i(j).
-3*j*(j - 1)**3
Let z = -76 - -108. Let n be ((-7)/20)/((-2)/z). Find m, given that 4/5 - 8/5*m**3 + 24/5*m**4 + 14/5*m**5 - n*m**2 - 6/5*m = 0.
-1, 2/7, 1
Suppose -2*i = 4*z + 50 + 12, -z = -5*i + 21. Let l be z/72 - 2/(-9). Factor 0*v + l - 2/5*v**3 - 2/5*v**2.
-2*v**2*(v + 1)/5
Let z(v) be the first derivative of -v**5/50 - 2*v**4/15 - v**3/3 - 2*v**2/5 + v + 2. Let a(b) be the first derivative of z(b). Factor a(t).
-2*(t + 1)**2*(t + 2)/5
Let r(u) be the first derivative of -u**4/24 + u**3/6 - u**2/4 + u + 7. Let n(s) be the first derivative of r(s). Factor n(y).
-(y - 1)**2/2
Let q(c) = c - 5. Let w be q(10). Let k(f) be the second derivative of -7/90*f**6 + 0*f**3 + 0 + 5/126*f**7 + 0*f**4 + 0*f**2 + 1/30*f**w - 3*f. Factor k(s).
s**3*(s - 1)*(5*s - 2)/3
Determine n so that 12*n**2 + 30*n - 20*n**3 + 4*n**4 + 4*n**5 - 30*n = 0.
-3, 0, 1
Let q(z) be the first derivative of 0*z**2 - 1/18*z**4 + 1/27*z**6 + 0*z**5 + 0*z**3 + 0*z - 1. Let q(l) = 0. Calculate l.
-1, 0, 1
Let b = 5 + -4. Let f = -1 + b. Factor -j + f*j**3 - j**3 - 7*j - 5*j**2 - 4.
-(j + 1)*(j + 2)**2
Let y(n) be the first derivative of n**5 - 10*n**4 + 30*n**3 - 135*n + 18. Factor y(f).
5*(f - 3)**3*(f + 1)
Let l(s) be the first derivative of 3/7*s**2 + 1/14*s**4 - 2/7*s - 2/7*s**3 - 1. Factor l(f).
2*(f - 1)**3/7
Suppose -58 = -2*s + 4*d, -2*s - 5*d = s - 120. Let b = 38 - s. Solve 3/2*l**4 - 3*l**2 - 9*l**b + 9/2*l + 9/2*l**5 + 3/2 = 0 for l.
-1, -1/3, 1
Let a(t) = t**3 - 8*t**2 + 8*t - 7. Let j be 81/12 - (-2)/8. Let y be a(j). Solve 0 + 1/5*o**2 + y*o = 0.
0
Let b(c) be the third derivative of c**5/360 + c**4/24 + c**3/4 - 9*c**2. Factor b(j).
(j + 3)**2/6
Let t(q) = -48*q**5 + 274*q**4 - 168*q**3 - 134*q**2 + 22. Let d(m) = 7*m**5 - 39*m**4 + 24*m**3 + 19*m**2 - 3. Let k(f) = -44*d(f) - 6*t(f). Factor k(g).
-4*g**2*(g - 2)**2*(5*g + 2)
Let n be (0 - -6)/((-6)/(-4)). Suppose 4*w - 2 = -s - s, 4*s - n*w - 16 = 0. Factor -x**3 + 3*x**4 - 4*x**4 + 0*x**s.
-x**3*(x + 1)
Let g be (-16)/(-6) + (-4)/6. Let v = -236 - -473/2. Factor -v*c**g - 1/2*c + 1/2*c**4 + 0 + 1/2*c**3.
c*(c - 1)*(c + 1)**2/2
Suppose -4*u - 3*y + 27 = 0, -4*u - 3 = -13*y + 10*y. Let a be (-1)/(-1 + (-8)/(-14)). Let a*h - 1/3*h**4 - u*h**2