+ c - 1. Let o be x(1). Suppose t + 2*t - 4*y = -4, o*y - 24 = -4*t. Suppose -3*b + 3*b + b - t*b - 3*b**2 = 0. What is b?
-1, 0
Factor r**3 - r + 0*r**2 + 1/2 - 1/2*r**4.
-(r - 1)**3*(r + 1)/2
Let m(i) = -3*i**4 + 14*i**3 - 3*i**2. Let t(x) = -6*x**4 + 27*x**3 - 6*x**2. Let b(j) = -7*m(j) + 4*t(j). Factor b(s).
-s**2*(s - 3)*(3*s - 1)
Factor 18/7*d**3 + 3/7*d - 12/7*d**4 - 12/7*d**2 + 3/7*d**5 + 0.
3*d*(d - 1)**4/7
Let u be (-6)/(-8) + 15/(-20). Find j, given that 0 - 1/2*j**2 + u*j = 0.
0
Let h(p) be the second derivative of -p**7/2520 - p**6/360 - p**4/6 + p. Let t(d) be the third derivative of h(d). Factor t(r).
-r*(r + 2)
Factor -1/4*v**4 + 3/4*v**2 - 1/4*v**3 + 5/4*v + 1/2.
-(v - 2)*(v + 1)**3/4
Let i(s) be the first derivative of s**6/30 - 4*s**5/25 + s**4/5 + 2*s**3/15 - s**2/2 + 2*s/5 - 38. Factor i(v).
(v - 2)*(v - 1)**3*(v + 1)/5
Let a(h) be the second derivative of 1/24*h**3 + 5*h + 0 - 1/4*h**2 + 1/24*h**4 - 1/80*h**5. Let a(u) = 0. What is u?
-1, 1, 2
Let v(p) be the third derivative of 1/6*p**3 - 1/80*p**5 - 1/24*p**4 + 0 + 1/240*p**6 + p**2 + 1/840*p**7 + 0*p. Let v(q) = 0. What is q?
-2, 1
Let b = 151/3 + -503/10. Let h(m) be the second derivative of 0 - 1/4*m**4 - b*m**6 - 1/6*m**3 - 2*m - 3/20*m**5 + 0*m**2. Determine f, given that h(f) = 0.
-1, 0
Let p = 17 - 11. Suppose 2*s + s - p = 0. Factor 6*i**s + 0*i**2 + 8 - i**3 - 12*i + 0*i**3.
-(i - 2)**3
Let w be 18/4*32/72. Factor 0*z - 1/2*z**w + 0.
-z**2/2
Suppose -22 = -4*o - 2*s, 13 = 5*s - 12. Suppose -h - 3*u - 15 = -0*u, 0 = -3*h - 2*u - 10. Let -1/2*b**o + h - 2*b - 2*b**2 = 0. What is b?
-2, 0
Let s(l) be the third derivative of -l**8/336 + l**7/120 + l**6/80 - 7*l**5/240 - l**4/48 + 22*l**2. Find u, given that s(u) = 0.
-1, -1/4, 0, 1, 2
Let d(c) = -16*c**4 + c**3 + 3. Let q(t) = 80*t**4 - 6*t**3 - 14. Let o(k) = k**2 - 18*k + 20. Let h be o(17). Let n(b) = h*q(b) + 14*d(b). Factor n(j).
4*j**3*(4*j - 1)
Let k be (-2)/(-40) + -1 + (-12)/(-10). Suppose -k*m**4 - 4 - 2*m**3 - 6*m**2 - 8*m = 0. What is m?
-2
Let l(y) be the second derivative of 0 - 1/4*y**3 + 1/4*y**4 - 3/40*y**5 + 0*y**2 + 2*y. Determine c so that l(c) = 0.
0, 1
Suppose -324*f = -338*f. Factor 2/11*s**3 + 0 + f*s + 2/11*s**5 - 4/11*s**4 + 0*s**2.
2*s**3*(s - 1)**2/11
Let s(m) be the first derivative of -m**4/34 + 2*m**3/51 + m**2/17 - 2*m/17 - 1. Factor s(l).
-2*(l - 1)**2*(l + 1)/17
Let b(r) be the third derivative of r**5/150 + r**4/60 - 2*r**3/15 + 3*r**2. Solve b(v) = 0 for v.
-2, 1
Let i = 23 - 20. Let l(g) be the third derivative of 0*g + 1/24*g**4 + 1/336*g**8 - 1/60*g**6 + 0*g**7 + 0*g**i - 2*g**2 + 0*g**5 + 0. Factor l(d).
d*(d - 1)**2*(d + 1)**2
Let c(p) be the third derivative of p**5/60 + p**4/6 + p**3/2 - 2*p**2. Suppose c(k) = 0. What is k?
-3, -1
Let w(u) be the first derivative of -u**7/420 + u**6/60 - u**5/20 + u**4/12 - u**3 + 5. Let y(c) be the third derivative of w(c). Let y(z) = 0. Calculate z.
1
Let g(t) be the third derivative of t**7/2940 + t**6/420 + t**5/140 + t**4/84 - t**3/3 + 4*t**2. Let m(h) be the first derivative of g(h). Factor m(l).
2*(l + 1)**3/7
Suppose -5*i = 5*j + 10 + 15, 4*j + 3*i = -19. Let z = -4 - j. Find x, given that z + 2/7*x**2 + 2/7*x = 0.
-1, 0
Let 4*n**3 - 2 - 4*n**2 - 4*n + 2 + 4*n**4 + 0*n**3 = 0. What is n?
-1, 0, 1
Let r(j) be the second derivative of j**5/70 + j**4/42 - j**3/21 - j**2/7 + 5*j. Suppose r(z) = 0. What is z?
-1, 1
Let k(r) be the second derivative of 6*r**6/5 - 42*r**5/5 + 52*r**4/3 - 44*r**3/3 + 6*r**2 - 6*r. Determine y so that k(y) = 0.
1/3, 1, 3
Let j be ((-19)/2)/((-3)/(-6)). Let o be j/(-7) + (-14)/(-49). Factor 8*c + 2*c**2 + 3*c - o*c + 8.
2*(c + 2)**2
Let q = -39/2 - -20. Factor 0*c + 1/2*c**2 - q*c**4 + 0 + 0*c**3.
-c**2*(c - 1)*(c + 1)/2
Let v(h) be the second derivative of 0 + 4*h + 1/25*h**5 - 1/15*h**3 - 1/75*h**6 - 1/105*h**7 + 1/15*h**4 - 1/5*h**2. Factor v(c).
-2*(c - 1)**2*(c + 1)**3/5
Suppose 15*d**5 + 5*d**2 + 6*d**4 - 15*d**3 - 12*d**4 + d**2 = 0. Calculate d.
-1, 0, 2/5, 1
Let t be (-9)/(-3) + 15/((-25)/5). Let n(h) be the first derivative of 1/5*h**4 + t*h**2 + 2/15*h**3 - 2 + 2/25*h**5 + 0*h. Factor n(j).
2*j**2*(j + 1)**2/5
Let 2/9*f**2 - 8/9*f + 8/9 = 0. What is f?
2
Let d(y) = 20*y**2 - 18*y + 16. Let g(l) be the second derivative of l**4/12 - l**3/6 + l**2/2 + 9*l. Let k(f) = 2*d(f) - 36*g(f). Factor k(r).
4*(r - 1)*(r + 1)
Let m(w) be the first derivative of w**4/36 - w**3/18 - w - 3. Let y(b) be the first derivative of m(b). Factor y(x).
x*(x - 1)/3
Suppose 75 = -x - 4*x. Let v be (6/4)/(x/(-50)). Factor 0*i + 2*i + 4*i**5 + 4*i**2 + v*i**4 - 3*i**5 + 3*i**2 + 9*i**3.
i*(i + 1)**3*(i + 2)
Let a(l) be the first derivative of 0*l**3 + 2*l + 1/4*l**2 - 1/24*l**4 - 3. Let z(s) be the first derivative of a(s). Factor z(f).
-(f - 1)*(f + 1)/2
Determine f so that -16*f + 16*f**2 + 82*f + 10*f**2 + 363 - 23*f**2 = 0.
-11
Let x(h) be the third derivative of h**6/720 - h**5/180 + 2*h**2. Find p, given that x(p) = 0.
0, 2
Solve 56*p**2 - 3*p**5 + 28*p + 12 + 4*p**2 + 30*p**3 + 3*p + 14*p = 0 for p.
-1, 4
Let f(d) = -13*d**2 + 80*d - 5. Let a(i) = -72*i**2 + 440*i - 28. Let r(x) = 5*a(x) - 28*f(x). Factor r(u).
4*u*(u - 10)
Let f(w) be the first derivative of w**6/360 - w**5/90 + w**4/72 - w**2/2 - 3. Let q(c) be the second derivative of f(c). What is u in q(u) = 0?
0, 1
Let q(x) be the third derivative of -x**6/720 + 2*x**3/3 - 2*x**2. Let m(d) be the first derivative of q(d). Factor m(l).
-l**2/2
Let k(n) = 363*n**2 + 78*n + 2. Let f(u) = -1090*u**2 - 235*u - 5. Let i(t) = -6*f(t) - 21*k(t). Let i(o) = 0. What is o?
-2/19
Let q = 17 + -14. Let h(b) be the third derivative of -q*b**2 - 1/4*b**6 - 7/15*b**5 + 0 + 0*b + 2/3*b**3 + 1/4*b**4. Factor h(j).
-2*(j + 1)*(3*j + 1)*(5*j - 2)
Let k(z) = -1. Let j(q) = q + 4. Let o be j(-3). Let a(g) = g**3 - 3*g**2 + 1. Let u(i) = o*a(i) - 3*k(i). Suppose u(m) = 0. Calculate m.
-1, 2
Let c(k) be the third derivative of k**6/180 + k**5/20 + k**4/6 + 4*k**3/3 - 7*k**2. Let i(r) be the first derivative of c(r). Factor i(l).
2*(l + 1)*(l + 2)
Let h = 122 + -12. Let n = 772/7 - h. Let 0 - 2/7*x**2 + 2/7*x + 2/7*x**4 - n*x**3 = 0. Calculate x.
-1, 0, 1
Let v be -3 + (0 - -1) + 5. Let t(s) = s**3 - 3*s**2 + 2*s - 4. Let m be t(v). Factor -33*n + m*n**2 + 33*n.
2*n**2
Let f(o) be the third derivative of -o**7/560 + o**5/160 + 9*o**2. Find k such that f(k) = 0.
-1, 0, 1
Let s(z) be the first derivative of z**6/120 - z**4/24 + z**2/2 + 3. Let l(o) be the second derivative of s(o). What is w in l(w) = 0?
-1, 0, 1
Let d(t) be the third derivative of t**8/756 - t**7/135 - t**6/90 + 7*t**5/270 + t**4/27 + t**2 + 4*t. Let d(v) = 0. What is v?
-1, -1/2, 0, 1, 4
Let z(p) be the first derivative of 3*p**4/4 - 3*p**3 + 3*p**2 + 11. Find k such that z(k) = 0.
0, 1, 2
Let u(j) = 5*j - 13 - j**2 + 4 + 3*j. Let h be u(6). Find n, given that 3*n**2 - 9*n**4 - n**3 - 4*n**5 - 5*n**h - 4*n**2 = 0.
-1, -1/4, 0
Let t(p) be the third derivative of 3/56*p**8 + 0 + 0*p + 0*p**3 + 0*p**4 - 4/75*p**5 - 26/175*p**7 + 2*p**2 + 11/75*p**6. Find q, given that t(q) = 0.
0, 2/5, 2/3
Suppose 0 = -j + z + 3, j + 5*z = -2*j + 1. Let g(d) = 3*d**3 - d**2 + 1. Let t be g(1). Find y such that 3*y**3 + 0*y**3 + 6*y**j - 6 + 6 + t*y = 0.
-1, 0
Factor -9/5*i**2 + 9/5*i - 3/5 + 3/5*i**3.
3*(i - 1)**3/5
Let w(b) be the third derivative of -1/60*b**4 + 1/525*b**7 + 0*b - 1/75*b**5 - 3*b**2 - 1/840*b**8 + 0 + 1/15*b**3 + 1/150*b**6. Let w(s) = 0. What is s?
-1, 1
Let d(o) be the first derivative of 0*o**3 - 3 + 0*o + 1/5*o**2 - 1/10*o**4. Determine k, given that d(k) = 0.
-1, 0, 1
Let a(q) be the third derivative of -q**5/24 - 5*q**4/4 - 55*q**3/12 + 11*q**2 + 4. Factor a(w).
-5*(w + 1)*(w + 11)/2
Let j(c) be the third derivative of -1/32*c**4 - 1/24*c**5 + 0*c + 4*c**2 + 0 + 1/24*c**3. What is z in j(z) = 0?
-1/2, 1/5
Let x be 3/(-60)*3/(-27). Let r(i) be the third derivative of 0*i**3 + 0*i**4 - x*i**5 + 0*i + 2*i**2 + 0. Factor r(a).
-a**2/3
Let w(b) = -b**5 + 3*b**4 + 5*b**3 - 3*b**2 + 2*b. Let i(v) = v**4 + v**3 - v**2 + v. Let s(k) = -12*i(k) + 4*w(k). Solve s(p) = 0 for p.
-1, 0, 1
Find u, given that 12*u**5 - 14*u**2 - 33*u**3 - 29*u**4 - u**2 - 2*u - 5*u**5 - 16*u**5 = 0.
-1, -2/9, 0
Let n(p) be the second derivati