+ a**2 = 0.
1
Let w(z) be the first derivative of -4/3*z**3 + 1/2*z**2 + 1/6*z**6 + 4 + 3/2*z**4 - 4/5*z**5 + 0*z. Determine c, given that w(c) = 0.
0, 1
Let b be (-2 + (-14)/(-7))/(-2). Factor 10/7*u**3 + 0 + b*u + 8/7*u**4 + 2/7*u**5 + 4/7*u**2.
2*u**2*(u + 1)**2*(u + 2)/7
Let y(u) be the second derivative of -u**4/4 + 3*u. Factor y(a).
-3*a**2
Suppose -u = -4*u + 6. Let r(i) be the first derivative of 1/2*i**4 + 2/3*i**3 - 4 - u*i - i**2. Find s such that r(s) = 0.
-1, 1
Let p(n) be the third derivative of -n**6/300 - n**5/25 - n**4/5 - 8*n**3/15 + 12*n**2. Let p(k) = 0. What is k?
-2
Determine v so that 0 + 2/9*v**4 + 4/9*v + 0*v**3 - 2/3*v**2 = 0.
-2, 0, 1
Let 0*q**3 - 3/2*q**5 + 9/2*q**4 - 6*q**2 + 0 + 0*q = 0. Calculate q.
-1, 0, 2
Let t(y) = -y**3 + 13*y**2 - 4*y - 8. Let d(n) = n**3 - 19*n**2 + 6*n + 12. Let c(v) = 5*d(v) + 7*t(v). Find w, given that c(w) = 0.
-2, -1, 1
Let g(k) be the second derivative of -k**8/2520 - k**7/630 - k**6/540 - k**3/2 - 2*k. Let v(f) be the second derivative of g(f). Factor v(d).
-2*d**2*(d + 1)**2/3
Let g(s) = 36*s**3 + 201*s**2 - 320*s + 112. Let t(j) = 180*j**3 + 1006*j**2 - 1600*j + 560. Let i(l) = -14*g(l) + 3*t(l). Suppose i(h) = 0. What is h?
-7, 2/3
Let i(c) be the first derivative of -c**6/360 + c**4/24 - c**3/3 + 3. Let f(t) be the third derivative of i(t). Solve f(m) = 0.
-1, 1
Let l(n) = 18*n**2 + 18*n - 18. Let h(f) = -f**2 - f. Let d(w) = -15*h(w) - l(w). What is g in d(g) = 0?
-3, 2
Let w(l) be the third derivative of -l**8/50400 + l**7/12600 + l**5/15 - 3*l**2. Let y(f) be the third derivative of w(f). Factor y(h).
-2*h*(h - 1)/5
Let k be ((-17)/(-2) - 4)/3. Factor -5/2*b**2 + 1/2*b + k*b**3 + 1/2.
(b - 1)**2*(3*b + 1)/2
Let x be ((-3)/(-9))/(-5 - -14). Let h(v) be the second derivative of x*v**3 + 1/54*v**4 + 0*v**2 + 0 - v. Factor h(i).
2*i*(i + 1)/9
Suppose -2 - 3*z + 4 + 4 - z**2 - 2*z**2 = 0. Calculate z.
-2, 1
Let k(j) be the second derivative of -j**4/21 - 2*j**3/21 + j + 8. Solve k(d) = 0 for d.
-1, 0
Let y be (-1)/(-5) + (-8)/40. Let z(w) = -w + 2. Let i be z(0). What is u in -1/4*u**3 + 0 + 0*u**i + y*u = 0?
0
Let c(y) be the first derivative of -4*y**3/3 + y**2/2 + 9*y - 1. Let b(z) = -z**2 + z + 1. Let j(f) = 5*b(f) - c(f). Determine r, given that j(r) = 0.
2
Solve z + 3*z + z - 3*z**2 + z - 3 = 0 for z.
1
Suppose -4*i + 2*i = -6. Let w(q) be the second derivative of -1/5*q**5 - 2*q + 0 + 1/6*q**4 + 0*q**2 + 1/3*q**i. Let w(o) = 0. What is o?
-1/2, 0, 1
Factor 0*h - 3/7*h**2 + 3/7*h**4 + 0 - 3/7*h**5 + 3/7*h**3.
-3*h**2*(h - 1)**2*(h + 1)/7
Let j = -38 - -38. Let g(p) be the third derivative of j*p - 1/112*p**8 + 0*p**3 + 0*p**4 + 2*p**2 + 0 + 0*p**7 + 0*p**5 + 1/40*p**6. Solve g(t) = 0 for t.
-1, 0, 1
Let w = -19 - -21. Let z(l) be the first derivative of 0*l**3 - w + 1/2*l**4 + 0*l + 0*l**2 + 2/5*l**5 - 2/3*l**6. Determine n so that z(n) = 0.
-1/2, 0, 1
Let a(f) = -16*f**2 + 5. Let r(y) = -3*y**2 + 1. Let x(j) = 2*a(j) - 11*r(j). Determine k, given that x(k) = 0.
-1, 1
Suppose -3*o + 5*o = 6. Suppose -j = -o*j + 4. Find z such that 0 + 2/7*z + 2/7*z**j = 0.
-1, 0
Suppose -117*z - 8 = -119*z. Determine i, given that 26*i**2 - 49/2*i**z + 4*i + 35*i**3 + 0 = 0.
-2/7, 0, 2
Let m = -13 + 17. Let l(d) = 18*d**2 - 12*d - 3. Let o(x) = 19*x**2 - 13*x - 2. Let q(a) = m*l(a) - 3*o(a). Factor q(t).
3*(t - 1)*(5*t + 2)
Let w be 4 + 12/(-4) + -1. Let s(l) be the third derivative of 0*l - 1/24*l**4 + l**2 - 1/120*l**5 + w - 1/12*l**3. Determine p, given that s(p) = 0.
-1
Let d be (-4)/(-14) + 8/(-28). Suppose -2*f + d*f + 20 = 0. Determine h so that -5*h**3 + h - f*h**2 + h**2 - 8*h - h**4 - 2 = 0.
-2, -1
Let l(a) be the first derivative of a**6/20 + a**5/15 - a**4/12 + 3*a**2/2 - 1. Let i(o) be the second derivative of l(o). What is h in i(h) = 0?
-1, 0, 1/3
Suppose -5*t + 3 = 4*u + 1, -2*u + 2*t + 10 = 0. Suppose -u*r + 6*r = 15. Solve -3 + g**r + 2*g**5 + 6*g**2 - 3*g**4 - 3*g**3 + 3*g - 3*g**3 = 0.
-1, 1
Let u(g) = -g**2 - 2*g + 8. Let a be u(-4). Factor a*n**2 + 4*n**3 - 2*n**2 + 2*n**3 + 9*n**5 - 7*n**5 - 6*n**4.
2*n**2*(n - 1)**3
Let d be ((-4)/4 + 1)/(-1). Let h(q) be the second derivative of q - 1/12*q**4 + 0*q**2 + 1/12*q**3 + d + 1/40*q**5. Factor h(o).
o*(o - 1)**2/2
Suppose d - 24 = -5*i - 0, d - 16 = -3*i. Factor 26*l**4 - 10*l**5 - 2*l**4 - 18*l**3 + 3 + i*l**2 - 3.
-2*l**2*(l - 1)**2*(5*l - 2)
Let b(r) = -6*r + 6 + 17*r - 10*r. Let y be b(-6). Solve y - 2/11*h**3 + 4/11*h**2 - 2/11*h = 0.
0, 1
Let i(m) be the second derivative of m**7/1155 - m**6/330 + m**5/330 + 4*m**2 - 4*m. Let z(s) be the first derivative of i(s). Solve z(p) = 0.
0, 1
Let v(m) be the first derivative of m**6/3 - 2*m**5/5 - 3*m**4/2 + 2*m**3/3 + 2*m**2 - 7. Factor v(i).
2*i*(i - 2)*(i - 1)*(i + 1)**2
Let d(i) be the second derivative of -5*i**7/14 - i**6/3 + 3*i**5/4 + 5*i**4/6 + 23*i. Determine o, given that d(o) = 0.
-1, -2/3, 0, 1
Factor -2*f - 15*f**2 + 1 - 6*f + 7*f**2 - 3.
-2*(2*f + 1)**2
Let q(a) be the first derivative of a**7/1680 - a**6/360 + a**5/240 - 4*a**3/3 - 4. Let p(j) be the third derivative of q(j). Determine i so that p(i) = 0.
0, 1
Let r = -21 - -26. Let g(o) be the second derivative of 0*o**3 - 1/60*o**6 + 0*o**2 + 1/24*o**4 + 0 + 1/84*o**7 - 1/40*o**r + 4*o. Factor g(v).
v**2*(v - 1)**2*(v + 1)/2
Let q(p) be the first derivative of p**4/2 + 2*p**3 + 3*p**2 + 2*p + 11. Factor q(f).
2*(f + 1)**3
Let z(q) be the second derivative of q**6/255 - q**5/85 - q**4/102 + 2*q**3/51 + 19*q. Factor z(g).
2*g*(g - 2)*(g - 1)*(g + 1)/17
Let f be (-1 - 20/(-12))*(-18)/(-4). Let s(r) be the first derivative of 1/6*r**2 - 1/12*r**4 + 1/3*r - 1/9*r**f + 3. Factor s(b).
-(b - 1)*(b + 1)**2/3
Let v(t) = -t**4 - 4*t**3 + 3*t**2 + 4*t + 1. Let i = 0 + 3. Let d(q) = 3*q - q**3 - q - 1 + 2 - q. Let z(c) = i*d(c) - v(c). Let z(m) = 0. Calculate m.
-2, -1, 1
Let v = 16 + -11. Suppose -v*b - 1 = -6. Factor -16*m - 9 + b + 26*m**2 - 8*m + 42*m**3.
2*(m + 1)*(3*m - 2)*(7*m + 2)
Let y(f) be the third derivative of f**6/108 - f**5/90 - f**4/54 - 6*f**2. Determine r so that y(r) = 0.
-2/5, 0, 1
Let y(a) be the second derivative of -a**7/10080 + a**6/960 + a**4/6 - 5*a. Let d(r) be the third derivative of y(r). Factor d(n).
-n*(n - 3)/4
Let q(t) be the third derivative of t**5/240 - t**3/24 - 7*t**2. Solve q(x) = 0.
-1, 1
Let l(t) be the first derivative of -t**2/2 - 6*t - 3. Let b be l(-8). Determine o so that 2*o**2 + o**2 - 5*o**3 - 5 + b*o**4 + o + 1 + 3 = 0.
-1/2, 1
Suppose -k + 12 = -0*k. Let b(g) = 4*g**2 + 2*g + 1. Let h be b(-1). Solve 2 - h + k*l - 1 + 5*l**2 + 6 = 0 for l.
-2, -2/5
Suppose 2*c - 2 = 2*h, 3*c = -h + 4 + 3. Let i(z) = 2*z**3 - z**2 + z. Let o be i(h). Let t**o - 6 + 1 + 4 = 0. What is t?
-1, 1
Let p = 5 - 1. Let z(r) be the third derivative of -2*r**2 + 0*r**3 + 1/300*r**6 + 0*r + 0 + 1/150*r**5 + 0*r**p. Factor z(g).
2*g**2*(g + 1)/5
Let v(s) = 2*s - 1. Let a be v(2). Solve 12 + 63*n**a - 22*n + 3*n - 53*n + 87*n**2 = 0 for n.
-2, 2/7, 1/3
Let f = -23 + 25. Let j(n) be the first derivative of 2/25*n**5 + 0*n**f + 0*n**3 + 0*n**4 - 3 + 1/15*n**6 + 0*n. Suppose j(t) = 0. Calculate t.
-1, 0
Let m(q) be the first derivative of -7*q**4/2 - 8*q**3/3 - 7*q**2 + 12*q + 3. Let f(d) = -d**3 - d**2 - d + 1. Let w(z) = -12*f(z) + m(z). Factor w(r).
-2*r*(r - 1)**2
Determine r so that 2/11*r**3 + 0*r**2 + 0 + 0*r = 0.
0
Let v(k) be the first derivative of k**4/4 + k**3/3 + 4. Let y(u) = 27*u**4 + 6*u**2. Let c(t) = -6*v(t) + y(t). Find q, given that c(q) = 0.
0, 2/9
Let y(s) be the third derivative of -s**8/560 + s**7/70 - 3*s**6/200 - 9*s**5/100 + 24*s**2. Factor y(f).
-3*f**2*(f - 3)**2*(f + 1)/5
Suppose -11*d + 4*d = 0. Let o(a) be the second derivative of -1/48*a**4 - 4*a + d*a**3 + 0 + 1/8*a**2. Factor o(n).
-(n - 1)*(n + 1)/4
Let z = -66 + 36. Let c = z - -91/3. Determine i, given that 5/3*i**3 - c*i**4 - 2/3 - 3*i**2 + 7/3*i = 0.
1, 2
Let l(x) be the third derivative of 0*x**3 + 0*x + 1/4*x**4 + 0 - 1/30*x**5 + 7*x**2. Suppose l(j) = 0. What is j?
0, 3
Let b(y) = -11*y**3 - 8*y**2 + 6*y + 13. Let n(c) = -5*c**3 - 4*c**2 + 3*c + 6. Let w(l) = 2*b(l) - 5*n(l). Factor w(q).
(q - 1)*(q + 1)*(3*q + 4)
Let r = -319/60 - -27/5. Let f(g) be the first derivative of 0*g - r*g**3 - 1/4*g**2 - 1. Fin