f n**4/24 - 7*n**3/8 + 5*n**2/4 + 39*n. Factor z(k).
(k - 10)*(2*k - 1)/4
Let f be ((-1)/4)/(14/(-28)). Solve -f*o + 0 + 1/2*o**2 = 0 for o.
0, 1
Factor 5*o**2 - 36 + 22*o - 98*o + 356 - 4*o.
5*(o - 8)**2
Let g(b) be the third derivative of 2*b**7/525 - 13*b**6/300 + 3*b**5/50 + 2*b**4/3 + 16*b**3/15 - 4*b**2 - 3. Let g(d) = 0. What is d?
-1, -1/2, 4
Suppose 0 = 13*q + q - 28. Let b(r) be the second derivative of 1/9*r**3 - 1/54*r**4 + 0 + 2*r - 2/9*r**q. Factor b(u).
-2*(u - 2)*(u - 1)/9
Let z(h) = 7*h**2 + h + 9. Let g(m) = 3*m**2 + m + 4. Let l(o) = 10*g(o) - 4*z(o). Determine j, given that l(j) = 0.
-2, -1
Let p be ((-2)/(-9))/((-18)/(-162)). Let v(g) be the second derivative of -g**p + g + 1/3*g**3 + 0 - 1/24*g**4. What is x in v(x) = 0?
2
Let j(f) be the third derivative of f**7/140 - f**6/16 + 3*f**5/40 + 5*f**4/16 - f**3 + 32*f**2. Suppose j(q) = 0. Calculate q.
-1, 1, 4
Let l be ((-2)/80)/(10*3/(-72)). Let g(x) be the second derivative of -1/105*x**7 + x + 0*x**2 + 0*x**3 - l*x**5 - 1/25*x**6 + 0 - 1/30*x**4. Factor g(r).
-2*r**2*(r + 1)**3/5
Let o(v) be the first derivative of -v**4/2 + 4*v**3/3 + 3. Let d(h) = -h**2. Let y(x) = x. Let t be y(1). Let n(l) = t*o(l) + 6*d(l). Solve n(r) = 0.
-1, 0
Let b(k) be the first derivative of -5/2*k**4 - 3*k - 3 - k**2 - 8/3*k**3 + 16/15*k**6 + 4/5*k**5. Let s(q) be the first derivative of b(q). Factor s(f).
2*(f - 1)*(f + 1)*(4*f + 1)**2
Suppose 0 = -3*x + 14 + 7. Let c be 4/8 + x/2. What is l in 2*l**4 - 2*l**2 - l**5 - 3*l**4 + c*l**4 - 1 - 2*l**3 + 3*l = 0?
-1, 1
Let d(z) be the second derivative of -3*z**5/80 - 3*z**4/16 + 3*z**3/4 + 3*z**2 - 51*z. Suppose d(g) = 0. What is g?
-4, -1, 2
Let g(t) be the third derivative of -2*t**7/21 - 7*t**6/24 + 3*t**5/2 + 35*t**4/6 - 20*t**3/3 - 18*t**2. Determine a so that g(a) = 0.
-2, 1/4, 2
Solve 1/6*j - 1/3*j**2 + 1/3 - 1/6*j**3 = 0 for j.
-2, -1, 1
Determine q so that 11*q - 3 + 8*q**2 - 2*q**2 - 3*q**4 - 11*q = 0.
-1, 1
Let o = -38 + 38. Let j(h) be the third derivative of 0*h + 5/126*h**7 + 7/18*h**4 + 7/36*h**6 + o + 23/60*h**5 + 2/9*h**3 + 2*h**2. Factor j(d).
(d + 1)**2*(5*d + 2)**2/3
Let m(a) = a**2 + 6*a + 2. Let d be m(-6). Let o(q) be the first derivative of -8/7*q - 2/21*q**3 + 4/7*q**d + 2. What is f in o(f) = 0?
2
Let d(b) be the first derivative of -4/9*b - 1 + 1/9*b**2 + 2/27*b**3. Factor d(i).
2*(i - 1)*(i + 2)/9
Let y(j) be the second derivative of -j**6/120 + j**4/48 + 8*j. Find q such that y(q) = 0.
-1, 0, 1
Let h = 1 + 3. Suppose 3*f = l - 5*l - 12, f + h = -l. Suppose 2/3*n**2 + l - 2/3*n - 2/3*n**4 + 2/3*n**3 = 0. What is n?
-1, 0, 1
Let w(o) be the second derivative of o**7/1680 - o**5/240 + o**3/48 + 3*o**2 - 3*o. Let p(h) be the first derivative of w(h). Find k such that p(k) = 0.
-1, 1
Let x(g) = -9*g**2 + 1 + 44*g + 12*g + 36*g**2 - 5. Let k(r) = 9*r**2 + 19*r - 1. Let z(a) = -8*k(a) + 3*x(a). Find i such that z(i) = 0.
-2, 2/9
Suppose -5*m = -4*r - 18, -4*r = -r + 6. Let c(w) be the first derivative of w**m + 2/3*w**3 + 1 + 0*w. Factor c(i).
2*i*(i + 1)
Suppose 3 = n + 1. What is g in -3/4*g**2 + 7/2*g - n = 0?
2/3, 4
Let m be 4*((-23)/(-4) - 3). Let s(z) = 9*z**3 - 27*z**2 - 6*z + 6. Let i(r) = 18*r**3 - 53*r**2 - 11*r + 13. Let u(k) = m*s(k) - 6*i(k). Solve u(n) = 0 for n.
-2/3, 1, 2
Find i such that -7/6*i + 5/6*i**2 + 1/2 - 1/6*i**3 = 0.
1, 3
Let b(h) = -7*h**4 - 5*h**3 + 17*h**2 + 25*h + 10. Let f(w) = -w**4 + w**2. Let n(x) = -b(x) + 2*f(x). Factor n(j).
5*(j - 2)*(j + 1)**3
Suppose 13 = o + 5*b, 2*o - 16 = -5*b - 0*b. Determine n so that 2*n**3 - 2*n**3 + n - n**o = 0.
-1, 0, 1
Let m(p) be the first derivative of p**6/1260 - p**4/84 - 2*p**3/3 + 1. Let f(o) be the third derivative of m(o). Factor f(h).
2*(h - 1)*(h + 1)/7
Let g(d) be the second derivative of -d**8/26880 - d**7/3360 + d**5/120 + d**4/3 + 3*d. Let u(q) be the third derivative of g(q). Factor u(x).
-(x - 1)*(x + 2)**2/4
Determine q so that 4/3*q + 7*q**2 + 3*q**4 + 0 + 61/6*q**3 - 3/2*q**5 = 0.
-1, -2/3, -1/3, 0, 4
Determine v, given that 2*v**2 + 696*v**3 - 691*v**3 - 7*v**2 = 0.
0, 1
Let j(t) be the third derivative of -t**9/30240 + t**7/2520 + t**5/60 - t**2. Let q(b) be the third derivative of j(b). Solve q(z) = 0.
-1, 0, 1
Let l be (-2)/3*(-144)/32. Determine j so that 45*j + 0*j**2 + 27 + 18*j**2 + 3*j**l + 5*j**2 - 2*j**2 = 0.
-3, -1
Let d(r) be the first derivative of -2*r**3/9 + 2*r/3 - 26. Factor d(u).
-2*(u - 1)*(u + 1)/3
Let o = -483909/7 + 69700. Let x = o - 569. Suppose 2/7*m**3 + x*m**2 - 8/7*m**4 - 2/7*m + 0 = 0. What is m?
-1, 0, 1/4, 1
Let a = 36 + -34. Find z, given that -3/5*z**4 + 4/5*z - 4/5*z**3 + 2/5*z**a + 1/5 = 0.
-1, -1/3, 1
Let j be (6/3)/(6/(-3)). Let k = -1 - j. Find o such that 10/9*o**5 - 4/9*o**4 + k*o + 0*o**3 + 0 + 0*o**2 = 0.
0, 2/5
Let g(n) be the second derivative of n**9/2016 - 3*n**8/1120 + 3*n**7/560 - n**6/240 - n**3/6 - 4*n. Let h(s) be the second derivative of g(s). Factor h(k).
3*k**2*(k - 1)**3/2
Let o(b) be the second derivative of -49*b**5/220 - 91*b**4/44 - 24*b**3/11 - 10*b**2/11 + 11*b. Determine p so that o(p) = 0.
-5, -2/7
Let o = 6/57397 + 26459171/8092977. Let f = 3/47 + o. Factor f*u**2 + 4/3 + 14/3*u.
2*(u + 1)*(5*u + 2)/3
Let d(l) be the first derivative of l**7/3360 - l**3/3 - 1. Let u(h) be the third derivative of d(h). Solve u(v) = 0.
0
Let d(a) = -6*a**3 - 4*a**2 + 4*a + 6. Let k(z) = 31*z**3 + 20*z**2 - 20*z - 31. Let u(b) = -11*d(b) - 2*k(b). Factor u(x).
4*(x - 1)*(x + 1)**2
Factor 0*j**3 - 1/4*j**4 + 0*j - 1/4 + 1/2*j**2.
-(j - 1)**2*(j + 1)**2/4
Let x(r) be the second derivative of r**4/21 - 16*r**3/21 + 32*r**2/7 + r. Factor x(l).
4*(l - 4)**2/7
Let c(h) be the second derivative of -h**4/48 + h**3/12 - h**2/8 + 2*h. Suppose c(p) = 0. Calculate p.
1
Suppose -n + 4*d = 20, 5*n - 4*d = 2 - 22. Solve 1/3*b**4 + 0*b + 0*b**2 - 1/3*b**5 + 0*b**3 + n = 0 for b.
0, 1
Let n = 40 - -26. Let j be 10/(-55) - (-56)/n. Factor 1/3*m**4 + j*m**3 - 1/3*m**5 - 1/3*m + 1/3 - 2/3*m**2.
-(m - 1)**3*(m + 1)**2/3
Let r(b) be the third derivative of b**7/2100 + b**6/450 - 4*b**3/3 - 3*b**2. Let s(g) be the first derivative of r(g). Solve s(d) = 0.
-2, 0
Let l be ((-10)/12)/((-3)/18). Find s, given that -77*s**5 + 6*s**3 + 8*s**2 - 4*s**4 + 75*s**l + 2*s - 10*s = 0.
-2, 0, 1
Let f(v) = 8*v**3 + 28*v**2 + 37*v + 20. Let w(r) = r**3 + r**2 - r. Let b(g) = f(g) - 3*w(g). Suppose b(k) = 0. Calculate k.
-2, -1
Let r = -25 - -25. Let a(n) be the second derivative of -1/36*n**4 + r*n**2 + 0*n**3 + 0 + 3*n. Determine m, given that a(m) = 0.
0
Let k(i) be the first derivative of -i**3/3 - 3*i**2/2 - 2*i + 9. Factor k(u).
-(u + 1)*(u + 2)
Suppose -7 + 42 = 5*k. Let n = 13 - k. Factor -22*c**3 + 30*c**2 - 1 + 6*c**4 - 1 - 18*c + n.
2*(c - 1)**3*(3*c - 2)
Suppose -12*x - 12 = -18*x. Find y, given that -3/2*y - 1/2*y**x - 1 = 0.
-2, -1
Let z(q) = -3*q**2. Let c(x) = x**3 - x - 3. Let n be c(0). Let i(s) = -4*s**2 + s. Let a(d) = n*z(d) + 2*i(d). Factor a(k).
k*(k + 2)
Factor 3*r**3 - 3*r + 39 + 42 - 81.
3*r*(r - 1)*(r + 1)
Suppose 94*m + 15*m**2 - 36*m**3 + 12 + 84*m**2 + 24*m**2 - 13*m = 0. What is m?
-1/3, -1/4, 4
Let s(r) be the first derivative of -2*r**3/21 + 6*r**2/7 - 10*r/7 - 26. Factor s(l).
-2*(l - 5)*(l - 1)/7
Let d(n) = -4*n**2 + 2*n. Suppose h + 0 - 9 = 0. Let c(q) = 17*q**2 - 9*q + 1. Let z(w) = h*d(w) + 2*c(w). Factor z(a).
-2*(a - 1)*(a + 1)
Let v(w) be the first derivative of -3 + 1/6*w**4 + 0*w**2 + 0*w + 0*w**3. Factor v(o).
2*o**3/3
Suppose -3*k - 4 = -13. Let p(t) be the third derivative of 0 + 1/9*t**4 - 4/9*t**k - 1/90*t**5 + 2*t**2 + 0*t. Let p(w) = 0. What is w?
2
Let y(u) be the second derivative of -u**2 + 0 - 1/12*u**4 - 4*u + 1/2*u**3. Factor y(o).
-(o - 2)*(o - 1)
Let h(a) be the third derivative of a**5/450 - a**4/90 + a**3/45 + 4*a**2. Factor h(x).
2*(x - 1)**2/15
Let l be (-6)/(-7) + 4/(-14). Let p(z) be the first derivative of -2/21*z**3 - 1 + 3/7*z**2 - l*z. Find s such that p(s) = 0.
1, 2
What is c in 2*c**2 + 0*c**2 - 4*c**2 - 16 - 6*c**2 - 36*c = 0?
-4, -1/2
Let m be (36/(-10))/(1/103). Let c = m - -372. Solve -2/5*y**3 + c*y**2 + 0*y - 8/5 = 0.
-1, 2
Let f(h) be the third derivative of 1/48*h**4 + 0 + h**2 - 1/672*h**8 + 1/60*h**5 + 0*h**3 + 0*h + 0*h**6 - 1/210*h**7. Determine j