*2/(-14). Factor 2/7*c + f*c**5 + 0*c**2 - 4/7*c**3 + 0 + 0*c**4.
2*c*(c - 1)**2*(c + 1)**2/7
Let k be 2/(-10) - 14/(-60). Let l(y) be the second derivative of 0*y**4 - 1/10*y**5 + y + 0 - 1/2*y**2 + k*y**6 + 1/3*y**3. Factor l(m).
(m - 1)**3*(m + 1)
Let s be 2/4 + (-30)/(-20). Factor -3 + 12*l - 2*l**s - 6*l - l**2.
-3*(l - 1)**2
Let g(t) = -t**3 + 11*t**2 + 14*t - 20. Let s be g(12). Let 0*p + 2/3*p**s + 0*p**3 - 2/3*p**2 + 0 = 0. What is p?
-1, 0, 1
Let n = -22 + 37. Let z be ((-8)/6)/((-55)/n). Factor -z - 18/11*o**2 - 2*o.
-2*(o + 1)*(9*o + 2)/11
Let q(x) be the third derivative of -5*x**5 - 15*x**4/2 - 9*x**3/2 + 41*x**2. Factor q(g).
-3*(10*g + 3)**2
Let g(q) = q - 6. Let o be g(6). Suppose 1/4*k**2 + 0*k + o - 1/4*k**4 + 0*k**3 = 0. Calculate k.
-1, 0, 1
Suppose 4*d - 6*d + 3*b + 19 = 0, -3*d - 3*b = -36. Suppose -d = -2*g - 1. Suppose 6/5*y**3 + 4/5*y**4 + 1/5*y + 0 + 1/5*y**g + 4/5*y**2 = 0. Calculate y.
-1, 0
Let b(d) be the second derivative of -d**5/130 + d**4/78 + d**3/39 - d**2/13 + 3*d. Factor b(r).
-2*(r - 1)**2*(r + 1)/13
Let c(p) = 5*p**2 - 21*p + 28. Let m(a) = -a**2 + a. Let u(g) = -2*c(g) - 6*m(g). Factor u(b).
-4*(b - 7)*(b - 2)
Let y = 0 - -3. Suppose -3*a - y*u = -21, 2*a + 4*u - 13 = 3*a. Determine b, given that b**5 + 5 - 5 - b**a = 0.
-1, 0, 1
Factor -8 + 289*i + 298*i + 2*i**2 - 587*i.
2*(i - 2)*(i + 2)
Let w(z) be the first derivative of -z**6/24 + 7*z**5/60 - z**4/12 + z**2/2 + 2. Let q(y) be the second derivative of w(y). Factor q(u).
-u*(u - 1)*(5*u - 2)
Let h = -46/227 + 44378/214515. Let g(f) be the third derivative of 5/504*f**8 + 0*f**3 + 0*f + h*f**7 + 0*f**5 - 4*f**2 + 0 - 1/135*f**6 + 0*f**4. Factor g(b).
2*b**3*(3*b + 2)*(5*b - 2)/9
Let t = 90 - 90. Let d(c) be the first derivative of -1/4*c**2 + t*c**4 - 1/5*c**5 - 1 + 0*c + 1/3*c**3 + 1/12*c**6. Factor d(j).
j*(j - 1)**3*(j + 1)/2
Let b(g) be the third derivative of g**5/180 - g**4/72 + 2*g**2. Suppose b(i) = 0. Calculate i.
0, 1
Let r = 47 - 93/2. Factor r*x**2 + 1/2 - x.
(x - 1)**2/2
Let b = -3 - -5. Let t(l) = -l + l**3 + l**b - 2*l**2 - 7 + 6. Let z(n) = -12*n**3 + 8*n**2 + 12*n + 12. Let h(i) = -10*t(i) - z(i). Let h(k) = 0. Calculate k.
-1, 1
What is k in -1/4*k**3 - 3/4*k**4 + 7/2*k**2 + k - 2 = 0?
-2, -1, 2/3, 2
Let f(w) be the second derivative of w**5/20 - w**4/6 + w**3/6 + 17*w. Factor f(j).
j*(j - 1)**2
Let o(q) be the third derivative of 3*q**2 + 0*q + 7/120*q**6 - 1/12*q**4 + 0 + 0*q**3 + 1/12*q**5. Factor o(f).
f*(f + 1)*(7*f - 2)
Let d = 92 - 88. Factor 3/2*c**5 - d*c**4 + 2*c**3 + 1 - 7/2*c + 3*c**2.
(c - 1)**3*(c + 1)*(3*c - 2)/2
Let h(o) be the second derivative of o**6/225 - o**4/30 - 2*o**3/45 + 4*o. Solve h(p) = 0.
-1, 0, 2
Let r(k) = -5*k**3 - 15*k**2 + 2*k + 22. Let s(d) = d + 1. Let m(a) = r(a) - 2*s(a). Factor m(j).
-5*(j - 1)*(j + 2)**2
Let a(o) be the second derivative of o**5/30 - o**3/3 - 2*o**2/3 - 6*o. Let a(h) = 0. Calculate h.
-1, 2
Suppose 0 = 5*k - 3 - 17. Determine u so that -4*u - 4*u + k*u - 2 - 2*u**2 = 0.
-1
Let f(b) = -b**2 - 14*b - 13. Let l be f(-13). Factor -1/2*q**4 - 1/2*q - 3/2*q**3 + l - 3/2*q**2.
-q*(q + 1)**3/2
Let g(x) be the first derivative of -81/4*x**4 - 1/2*x**6 + 5 + 0*x**2 + 27/5*x**5 + 0*x + 27*x**3. Factor g(j).
-3*j**2*(j - 3)**3
Let p(f) be the first derivative of -f**7/70 - 3*f**6/40 - f**5/20 + 3*f**4/8 + f**3 - 3*f**2/2 + 3. Let w(x) be the second derivative of p(x). Solve w(u) = 0.
-2, -1, 1
Let u be 8 - (1/(-3) + (-30)/(-9)). Let m(g) be the third derivative of 1/90*g**u + 1/540*g**6 - 4/27*g**3 + 0 + 3*g**2 + 0*g + 0*g**4. Factor m(l).
2*(l - 1)*(l + 2)**2/9
Determine a, given that 32*a - 5*a**2 - 14*a**3 + 3*a**2 + 6*a**2 + 6*a**2 + 8 = 0.
-1, -2/7, 2
Let i(a) = -3*a**2 - 23*a. Let z(m) = -m**2 - 8*m. Let q(b) = 6*i(b) - 17*z(b). Let q(w) = 0. What is w?
-2, 0
What is z in 5*z**3 - 5*z - 8*z**2 - 16*z**2 + 5 + 37*z**2 - 18*z**2 = 0?
-1, 1
Let 22*h**2 + 5*h**4 - 17*h**2 - h**3 + 11*h**3 = 0. Calculate h.
-1, 0
Factor 22*s - 25*s + 4*s**2 - s**2.
3*s*(s - 1)
Let m(x) be the second derivative of 0 - 1/6*x**2 + 1/60*x**5 - 4*x + 1/36*x**4 - 1/18*x**3. Find h such that m(h) = 0.
-1, 1
Let d(y) be the first derivative of y**4/4 + 4*y**3/3 + 5*y**2/2 + 2*y - 21. Factor d(a).
(a + 1)**2*(a + 2)
Let -2/5*w**3 + 4/5 + 6/5*w + 0*w**2 = 0. What is w?
-1, 2
Let i be (2/14)/(90/21). Let h(o) be the second derivative of 0*o**3 + i*o**5 - o + 0 + 0*o**6 - 1/63*o**7 + 0*o**4 + 0*o**2. Factor h(s).
-2*s**3*(s - 1)*(s + 1)/3
Suppose 2*o**5 + o + 4*o**2 - 4*o + o - 4*o**4 = 0. Calculate o.
-1, 0, 1
Let a(r) be the first derivative of r**4 - 232*r**3/21 + 130*r**2/7 - 8*r + 28. What is m in a(m) = 0?
2/7, 1, 7
Let m = -21/8 + 67/24. Let r(o) be the second derivative of 0 - m*o**4 + 0*o**2 - o + 1/3*o**3. Suppose r(u) = 0. What is u?
0, 1
Let s(b) be the third derivative of b**6/60 + 7*b**5/30 + 4*b**4/3 + 4*b**3 - 25*b**2. Factor s(c).
2*(c + 2)**2*(c + 3)
Let m(z) = 6*z - 4. Suppose -13 = 3*g + 4*v, -v - 10 + 5 = -g. Let j be m(g). Determine i so that 4/7*i**3 + 2/7*i**j + 2/7*i**4 + 0 + 0*i = 0.
-1, 0
Let z(d) = -d**2 - 14*d - 48. Let s be z(-8). Factor 0 + s*k**2 + 2/5*k**3 - 2/5*k.
2*k*(k - 1)*(k + 1)/5
Let a = 55 + -329/6. Let s(b) be the first derivative of 1 - 4/9*b**3 + 2/3*b + a*b**2 - 1/4*b**4. Suppose s(k) = 0. What is k?
-1, 2/3
Let m(z) be the third derivative of -z**5/480 + z**4/192 + 11*z**2. Factor m(b).
-b*(b - 1)/8
Let h(n) be the third derivative of n**7/840 + n**6/480 - n**5/240 - n**4/96 + 8*n**2. Find q, given that h(q) = 0.
-1, 0, 1
Let j(b) be the second derivative of -2/3*b**2 - 1/36*b**4 - 4*b + 2/9*b**3 + 0. Find x such that j(x) = 0.
2
Let a(o) be the third derivative of -o**8/224 - 3*o**7/140 - o**6/40 + o**2. Let a(m) = 0. What is m?
-2, -1, 0
Let w(m) be the second derivative of -2/45*m**6 - 1/9*m**4 + 1/126*m**7 + 1/18*m**3 + 0 - m + 0*m**2 + 1/10*m**5. Factor w(v).
v*(v - 1)**4/3
Let u(q) be the first derivative of q**5 + 5*q**4/2 + 5*q**3/3 + 16. Factor u(p).
5*p**2*(p + 1)**2
Let l(i) be the third derivative of i**6/1020 - i**5/170 + i**4/68 - i**3/51 + 4*i**2. Factor l(o).
2*(o - 1)**3/17
Let y(f) = 4*f**4 - 4*f**2. Let u(m) = m**5 - 9*m**4 - m**3 + 9*m**2. Let o = 0 + 2. Let a(p) = o*u(p) + 5*y(p). Determine g, given that a(g) = 0.
-1, 0, 1
Let g = 8599/35 + -1727/5. Let s = g + 100. Factor -2/7*r**2 - 2/7*r + 2/7 + s*r**3.
2*(r - 1)**2*(r + 1)/7
Let d(s) = s**5 + s**4 - s - 1. Let o(f) = -21*f**5 - 30*f**3 + 51*f. Let b(y) = 18*d(y) + o(y). Suppose b(p) = 0. What is p?
-1, 1, 2, 3
Let p(n) = -5*n**2 - 12*n - 7. Let t(z) = z**2 - z + 1. Let x be t(1). Let k(r) = r**3 + r**2 + 1. Let i(v) = x*k(v) - p(v). Let i(g) = 0. What is g?
-2
Let d(o) = 12*o**2 - 12*o. Let p(x) = -x**3 + 36*x**2 - 36*x. Let c(t) = 8*d(t) - 3*p(t). Factor c(v).
3*v*(v - 2)**2
Factor 2*m**2 - 4*m + 3*m - 8 + m + m**3 - 4*m.
(m - 2)*(m + 2)**2
Let r(n) be the third derivative of -n**7/350 + n**6/100 - 2*n**2. Determine u so that r(u) = 0.
0, 2
Suppose 0 = 3*k - 26 + 2. Let m be (4/10)/((-2)/(-10)). Factor k + 9*w + 63*w**2 + 47*w + 35*w**m.
2*(7*w + 2)**2
Let d(z) be the first derivative of -z**5/10 + 5*z**4/8 - 7*z**3/6 + 3*z**2/4 + 8. Factor d(s).
-s*(s - 3)*(s - 1)**2/2
Determine g so that 11*g**2 - 15 - 112*g + 42*g + 14*g**2 = 0.
-1/5, 3
Suppose -p + 2*q = -4*p + 8, -2*p + 7 = q. Let s(k) = -6*k**2 - 4*k. Let l(u) = 7*u**2 + 5*u. Let m(d) = p*s(d) + 5*l(d). Determine z so that m(z) = 0.
0, 1
Let -2/7*j**4 - 4/7*j**2 + 6/7*j**3 + 0*j + 0 = 0. Calculate j.
0, 1, 2
Let g = -28 + 57/2. Let h = 107 + -213/2. Factor -a**2 + a**3 - 1/2*a**5 + h*a**4 - g*a + 1/2.
-(a - 1)**3*(a + 1)**2/2
Let b = 10 - 8. Let j = -26 + 55/2. What is m in 1/2*m + j*m**3 + 1/2 - 5/2*m**b = 0?
-1/3, 1
Let m(w) be the third derivative of w**5/390 + w**4/39 + 13*w**2. Factor m(x).
2*x*(x + 4)/13
Let g(t) = 5*t**3 + t**2 - 3*t + 10. Let x(r) = -6*r**3 - 2*r**2 + 3*r - 11. Let o(q) = -7*g(q) - 6*x(q). Let b be o(-4). Factor -2*j**2 + 2*j**3 + 0 + b.
2*j**2*(j - 1)
Let k(u) = -7*u**2 - 2*u + 6. Let s(a) = -8*a**2 - 2*a + 7. Let p be (4/(-4))/((-2)/12). Let c(b) = p*s(b) - 7*k(b). Solve c(j) = 0 for j.
-2, 0
Let r be 1 + 1 + 8 + -7. Let v be 1 + (-3)/(-9)*r. Suppose 6/5*j**v + 2/5*j**3 + 2/5 + 6/5*j = 0. Calculate j.
-1
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