c**2 - 120*c - 16. Let k(n) = n**3 - n**2. Let q(o) = -k(o) - t(o). Determine i so that q(i) = 0.
-2, -2/7
Let g(c) be the second derivative of c**7/945 - c**6/120 + c**5/90 + c**4/12 + 3*c. Let p(v) be the third derivative of g(v). Find z such that p(z) = 0.
1/4, 2
Let x be (-3 - 10/(-5))/(2 + -3). Determine r so that 1/2*r**2 + x - 3/2*r = 0.
1, 2
Suppose -i + 2 = -1. Find m such that -7*m**i - 109 + 2*m - 8*m**2 + 113 + m**3 = 0.
-1, 2/3
Let r(z) be the second derivative of -z**6/45 + z**4/18 + 3*z. Find m such that r(m) = 0.
-1, 0, 1
Let l(u) = u**4 + u**3 + u**2 - u + 1. Let i(q) = -2*q**4 + 8*q**3 + 42*q**2 + 84*q + 51. Let d(r) = 2*i(r) + 6*l(r). Factor d(s).
2*(s + 2)*(s + 3)**3
Let v be (-6)/5*(-555)/222. What is m in 0*m + 0 - 2/7*m**v + 4/7*m**2 = 0?
0, 2
Let z(x) be the second derivative of x**5/240 + x**4/48 + x**3/24 + x**2/2 - 3*x. Let n(b) be the first derivative of z(b). Factor n(q).
(q + 1)**2/4
Factor 2*x + x**2 + 3*x - 207 + 207.
x*(x + 5)
Let s(l) be the first derivative of -l**3/30 + l**2/5 - 3*l/10 + 56. Find y such that s(y) = 0.
1, 3
Let v(j) be the third derivative of j**7/245 + j**6/280 - j**5/70 - j**4/56 - 17*j**2. What is q in v(q) = 0?
-1, -1/2, 0, 1
Suppose -4*c + 17 = b, 2*c - 3*b + 4 = -5. Factor -c*s**4 + 4 + s**5 + 7*s**3 - 3*s - 3 + 2*s**2 - 5*s**3.
(s - 1)**4*(s + 1)
Let m(h) be the first derivative of -1/4*h**4 + 0*h**3 + 1/2*h**2 + 1/2*h - 1/10*h**5 + 2. Factor m(l).
-(l - 1)*(l + 1)**3/2
Let p = -8 + 12. Let -6*i - 2*i**2 + p*i**2 + i**2 = 0. Calculate i.
0, 2
Suppose -53*g = -57*g. Let m(h) be the first derivative of -1 + g*h + 1/18*h**4 + 0*h**2 + 2/27*h**3. Factor m(z).
2*z**2*(z + 1)/9
Suppose -4 = -3*j + j. Solve -3*m + m**j - 2*m**2 + 3*m = 0 for m.
0
Let r(l) be the second derivative of l**3/6 - 5*l**2/2 + 6*l. Let g be r(10). Let 0 - 4/9*p**4 + 0*p + 0*p**2 + 2/9*p**3 + 2/9*p**g = 0. Calculate p.
0, 1
Let z(f) be the first derivative of f**8/560 + f**7/350 + f**2 - 5. Let n(y) be the second derivative of z(y). Factor n(o).
3*o**4*(o + 1)/5
Suppose n + 2*f + 1 = 0, -n = n + 2*f - 4. Suppose -4*l + n*s = -20 - 21, -2*l + 5*s = -33. Let i**2 - 2*i**3 + 4*i**3 - i**l - i - i**3 = 0. Calculate i.
-1, 0, 1
Let v = -3 + 5. Factor -3*r**3 - 2*r**2 - 5*r**v + 3*r**4 + 0*r**2 - 2*r**2 + 15*r - 6.
3*(r - 1)**3*(r + 2)
Suppose -7*u = 6 - 6. Suppose 2/5*a**2 + u + 2/5*a - 4/5*a**3 = 0. Calculate a.
-1/2, 0, 1
Let g = 97 + -387/4. Factor -1/4 + g*y**2 + 0*y.
(y - 1)*(y + 1)/4
Let b be ((-48)/(-27) - 2) + (-40)/(-18). Let 3/5*q**b + 0 + 3/5*q = 0. Calculate q.
-1, 0
Determine w, given that 0 - w**2 - 4*w**2 - 5 + 5*w + 5*w = 0.
1
Suppose -2*l + 5 = 1. Factor r**l - 5*r**4 - 15*r**5 + 4*r**4 - 3*r**3 + 18*r**5.
r**2*(r - 1)*(r + 1)*(3*r - 1)
Suppose 21*v**4 - 29*v - 8*v**4 + 13*v + 12*v**3 + 3*v**4 - 16*v**2 + 4*v**5 = 0. Calculate v.
-2, -1, 0, 1
Let d = 427 + -427. Let t(q) = -q. Let m be t(-3). Suppose -1 - 3/2*u + 1/2*u**m + d*u**2 = 0. What is u?
-1, 2
Let f(q) be the second derivative of -1/3*q**4 + 0 - 4*q + 0*q**2 - 1/3*q**3. Factor f(p).
-2*p*(2*p + 1)
Let r(w) be the second derivative of -w**7/1680 + w**5/240 - w**3/2 + 5*w. Let n(j) be the second derivative of r(j). Find v, given that n(v) = 0.
-1, 0, 1
Let k be (2996/490 - 6)/(4/30). Let g = 38/35 - 4/5. Factor 4/7 + k*b + g*b**2.
2*(b + 1)*(b + 2)/7
Let q(j) be the third derivative of j**6/210 - 2*j**5/105 - j**4/42 + 4*j**3/21 - 12*j**2. Factor q(w).
4*(w - 2)*(w - 1)*(w + 1)/7
Let w(k) = -6*k**2 - 2*k + 4. Suppose y + 12 = -2*x - x, -x + y = 4. Let u(o) = -7*o**2 - 2*o + 5. Let m(h) = x*u(h) + 5*w(h). Suppose m(p) = 0. What is p?
-1, 0
Let d(t) be the third derivative of t**6/120 - t**5/60 - t**4/24 + t**3/6 - 6*t**2. What is w in d(w) = 0?
-1, 1
Let t(y) = -3*y**4 - 4*y**3 + 16*y + 14. Let j(g) = -7*g**4 - 8*g**3 + 32*g + 27. Let c(i) = 4*j(i) - 10*t(i). Determine u so that c(u) = 0.
-2, 2
Let 2*a**3 - 36/7 - 6/7*a + 2/7*a**4 + 26/7*a**2 = 0. Calculate a.
-3, -2, 1
Suppose 0 = -4*d - 3 + 11. What is c in d*c + c**5 - 13*c - 2*c**3 + 12*c = 0?
-1, 0, 1
Let f(x) = -x + 1. Let i(b) = -b**2 - 5*b + 5. Let s(g) = 5*f(g) - i(g). Find p such that s(p) = 0.
0
Let l = 8 - 6. Determine z so that 0 - z**5 + 0*z**l - 1/2*z**3 + 0*z - 3/2*z**4 = 0.
-1, -1/2, 0
Let c(w) = 0*w - 3*w - 4 - 3*w**2 - 2*w**2. Let y(k) = -11*k**2 - 5*k - 9. Let v(b) = 10*c(b) - 4*y(b). Factor v(d).
-2*(d + 1)*(3*d + 2)
Let l(j) be the third derivative of j**5/5 - j**4/6 - 4*j**3/3 + 7*j**2. Determine u, given that l(u) = 0.
-2/3, 1
Suppose s - 1 = 2*z - 3, -3*s = -z - 4. Suppose 0*g**2 - z*g**2 + 5*g**2 - g**2 + 4 + 6*g = 0. Calculate g.
-2, -1
Let f(j) be the first derivative of -2*j**5/5 + 7*j**4/8 - j**3/3 - j**2/4 - 8. Factor f(c).
-c*(c - 1)**2*(4*c + 1)/2
Let v(d) be the second derivative of 3*d**5/5 - 5*d**4/3 - 8*d**3/3 + 8*d**2 + 20*d. Let v(y) = 0. What is y?
-1, 2/3, 2
Suppose 2*m + 6 = -u - m, -2*u = 5*m + 11. Let f = u + 6. Find j, given that -8/9*j**4 - 10/9*j**2 + 2/9*j + 0 + 16/9*j**f = 0.
0, 1/2, 1
Let y(i) be the second derivative of -i**6/40 + i**5/40 + i**4/16 + 7*i**2/2 + 4*i. Let m(p) be the first derivative of y(p). Factor m(w).
-3*w*(w - 1)*(2*w + 1)/2
Let t(i) = i + 1. Let q(s) be the third derivative of -s**5/60 + s**4/24 + s**3/6 + s**2. Let f(n) = q(n) - 5*t(n). Factor f(v).
-(v + 2)**2
Let n(v) be the second derivative of v**7/3780 - v**6/1080 - v**4/12 + 3*v. Let o(l) be the third derivative of n(l). Factor o(a).
2*a*(a - 1)/3
Let j(d) be the third derivative of -d**7/630 - d**6/180 + d**4/36 + d**3/18 + 2*d**2. Factor j(x).
-(x - 1)*(x + 1)**3/3
Let n(y) be the first derivative of y**4/2 - 14*y**3/27 - 2*y**2/9 + 4. Let n(i) = 0. What is i?
-2/9, 0, 1
Factor -25*p**3 + 94 - 40*p**2 + 6*p + 14*p - 94.
-5*p*(p + 2)*(5*p - 2)
Find b such that 0*b + 3/5*b**2 + 0 = 0.
0
Let z(k) be the second derivative of 0*k**2 + 1/20*k**5 - 1/12*k**4 - 5*k - 1/3*k**3 + 0. Let z(w) = 0. Calculate w.
-1, 0, 2
Let q(u) be the second derivative of u**9/15120 - u**7/1260 + u**5/120 - u**4/12 + 3*u. Let c(o) be the third derivative of q(o). Solve c(b) = 0 for b.
-1, 1
Let r(x) be the third derivative of x**8/56 + x**7/14 - x**5/2 - 5*x**4/4 - 3*x**3/2 - 25*x**2. Suppose r(n) = 0. Calculate n.
-1, 3/2
Let f = 808/1221 - -2/407. Factor -4/3*p**4 + 0 + 0*p + 2/3*p**3 + f*p**2.
-2*p**2*(p - 1)*(2*p + 1)/3
Let v(a) = a**2 - 2*a + 1. Let j be v(3). Let n be 7 - (-1 + -1 + j). Let -2*u + 2/3*u**n - 2/3 + 2*u**4 + 4/3*u**3 - 4/3*u**2 = 0. What is u?
-1, 1
Factor 10/9*d**2 + 2/9*d**4 + 4/9*d + 8/9*d**3 + 0.
2*d*(d + 1)**2*(d + 2)/9
Suppose 3*x = -4*r + x - 14, 5*x + 22 = 3*r. Let b(h) = -1. Let t(v) = 2*v**2 + 2*v - 8. Let p(o) = r*t(o) + 4*b(o). Let p(s) = 0. What is s?
-2, 1
Let l(f) = -f**4 + f**2 - f. Let k(s) = -2*s**5 - 15*s**4 - 56*s**3 - 90*s**2 - 62*s - 16. Let m(a) = 3*k(a) + 6*l(a). Suppose m(t) = 0. Calculate t.
-2, -1/2
Let c(h) = 4*h**5 + 12*h**4 + 12*h**3 + 4*h**2 - 13*h. Let o(f) = 2*f**5 + 6*f**4 + 6*f**3 + 2*f**2 - 6*f. Let u(x) = 6*c(x) - 13*o(x). Factor u(p).
-2*p**2*(p + 1)**3
Let i(b) be the first derivative of -b**8/168 + b**7/21 - 3*b**6/20 + 7*b**5/30 - b**4/6 - 4*b**2 - 3. Let c(l) be the second derivative of i(l). Factor c(k).
-2*k*(k - 2)*(k - 1)**3
Factor -3*b**2 - 1/3 + 2*b.
-(3*b - 1)**2/3
Let d(r) = -3*r + 1. Let s be d(-1). Let w be -4*s/(-24)*1. Factor 0*o**2 + 2/3*o**4 + 4/3*o**3 + 0*o - w*o**5 + 0.
-2*o**3*(o - 2)*(o + 1)/3
Suppose -6*d + 2*d - 132 = 0. Let g = 103/3 + d. Factor g*c**3 + 2/3 + 0*c**2 - 4/3*c - 2/3*c**4.
-2*(c - 1)**3*(c + 1)/3
Solve -1 + 3*x**2 - 5 - 10*x - 21*x + 34*x = 0.
-2, 1
Let m be ((-8)/6)/2*-3. Let s be (-10)/40*(-12 + 0). Factor 0*b + 0*b**2 - 2*b - b**3 + s*b**m.
-b*(b - 2)*(b - 1)
Let x be (1/7)/((-3)/(-18)). Let s = -52/77 + x. Determine h so that 0*h + s*h**5 + 10/11*h**3 + 0 - 4/11*h**2 - 8/11*h**4 = 0.
0, 1, 2
Suppose 5 + 4 = 3*x. What is v in v + x*v**2 + 3 + v**2 - 1 - 5*v**2 = 0?
-1, 2
Suppose -17*j = -j. Suppose 0*m**2 + 0*m + 1/3*m**4 + j - 1/3*m**3 = 0. Calculate m.
0, 1
Let q(i) be the second derivative of -i + 1/21*i**4 + 0*i**2 + 0 + 3/70*i**5 - 4/35*i**6 + 1/21*i**7 + 0*i**3. Determine p so that q(p) = 0.
-2/7, 0, 1
Let h(l) be the second derivative of l**7/4620 - l**6/495 + l**5/132 - l**4/66 + l**3/2