- 10*g + 4. Let o(n) = -8*n**3 + 8*n**2 - 10*n + 4. Let b(w) = 6*i(w) - 5*o(w). Find x, given that b(x) = 0.
1, 2
Suppose 18*v = 16*v + 4. Factor g + 0 - 3/2*g**v + 1/2*g**3.
g*(g - 2)*(g - 1)/2
Let s(x) be the third derivative of 0*x - x**2 + x**3 - 1/20*x**5 + 1/8*x**4 + 0. Let s(j) = 0. What is j?
-1, 2
Let l(k) = -11*k**2 + k**2 - 4*k - 2*k + 2*k. Let b(a) = 2*a**2 + a. Let c(q) = 16*b(q) + 3*l(q). What is x in c(x) = 0?
-2, 0
Let r(w) = w**2 + 6*w - 1. Let a(f) = -2*f. Suppose -3*q + 3 = 2*t, 4*t + t + 50 = 4*q. Let x(j) = t*a(j) - 2*r(j). What is d in x(d) = 0?
-1, 1
Let l = 9373 + -65424/7. Let r = 27 - l. Let -2/7*s + 4/7*s**3 - 2/7*s**4 - r + 4/7*s**2 - 2/7*s**5 = 0. What is s?
-1, 1
Let p(r) be the third derivative of -r**7/5040 + r**6/1440 + r**5/120 - r**4/8 - 2*r**2. Let i(v) be the second derivative of p(v). Suppose i(l) = 0. What is l?
-1, 2
Let h = 25 + -17. Factor h*x + 10*x - 12*x + 0 - 3*x**2 - 3.
-3*(x - 1)**2
Let y(g) = 2*g**2 - 4*g. Let a be y(0). Find l such that 0*l - 2/3*l**5 + 0 + 2/3*l**3 + a*l**2 + 0*l**4 = 0.
-1, 0, 1
Let p(z) = -7 + 12 + 0 + z + 9. Let t be p(-11). Solve 0 + 0*w + 0*w**2 + 2/3*w**t - 1/3*w**4 = 0 for w.
0, 2
Let o(q) be the third derivative of 1/180*q**6 + 0*q + 0 + 3*q**2 + 0*q**3 - 1/45*q**5 + 1/36*q**4. What is l in o(l) = 0?
0, 1
Let k = -5 + 7. Factor 3*g + 5*g**2 + 2 - g**2 - k*g**2 - g**2.
(g + 1)*(g + 2)
Let s(a) = -2*a**5 - 8*a**4 + 9*a**3 - 10*a**2 + 2*a. Suppose 4 = 3*u - 7*u. Let w(n) = n**5 + n**4 + n**2. Let o(t) = u*s(t) - 3*w(t). Let o(h) = 0. What is h?
0, 1, 2
Suppose 5*r + 5*m - 35 = 0, -2*r + 39 = -0*m - 3*m. Factor 2*p**5 + r*p**3 + 8*p**4 + 0*p + 2*p - 3 + 8*p**2 + 3.
2*p*(p + 1)**4
Let x = 3 + 1. Let l = 9 - x. Let n(d) = -12*d**2 + d + 3. Let i(s) = -18*s**2 + 2*s + 4. Let t(f) = l*i(f) - 8*n(f). Factor t(p).
2*(p + 1)*(3*p - 2)
Let m(v) be the first derivative of -49/9*v**3 - 4/3*v + 14/3*v**2 + 1. Factor m(g).
-(7*g - 2)**2/3
Let d(p) be the second derivative of -p**4/42 - p**3/7 - 2*p**2/7 + 11*p. Factor d(o).
-2*(o + 1)*(o + 2)/7
Let a be (-52)/(-20) + 4/10. Suppose -a*l**2 - l**2 + 0*l**2 + 2*l = 0. Calculate l.
0, 1/2
Solve 48/5*p**2 - 4/5*p - 8/5 - 8*p**3 - 8/5*p**4 + 12/5*p**5 = 0 for p.
-2, -1/3, 1
Factor 2/3*j**2 + 2/3*j + 0.
2*j*(j + 1)/3
Let j(p) be the third derivative of p**7/735 - p**6/140 + p**5/105 + p**2. Factor j(z).
2*z**2*(z - 2)*(z - 1)/7
Let b(y) = -14*y**5 - 5*y**4 - 4*y**3 - 13*y - 13. Let t(a) = 7*a**5 + 3*a**4 + 2*a**3 + 6*a + 6. Let o(z) = -6*b(z) - 13*t(z). Let o(h) = 0. What is h?
-1, -2/7, 0
Suppose -47*s - 8 = -8. Find g such that 0*g - 2/11*g**3 + 4/11*g**2 + s = 0.
0, 2
Let w(v) be the second derivative of v**6/10 - 9*v**5/10 + 5*v**4/4 + 39*v. Factor w(z).
3*z**2*(z - 5)*(z - 1)
Let q(h) be the first derivative of 1/15*h**6 - 3 - 8/25*h**5 + 1/5*h**2 + 0*h + 3/5*h**4 - 8/15*h**3. Let q(k) = 0. What is k?
0, 1
Suppose 3*x - 21 = -4*o + o, 4*o - 4*x + 4 = 0. Factor 2*u + 0*u**2 + 2*u - 2 + 2*u - 6*u**2 + 2*u**o.
2*(u - 1)**3
Find x, given that 1/2*x**3 + 0*x - 1/4*x**4 + 0 - 1/4*x**2 = 0.
0, 1
Factor -3/7*p**2 + 9/7*p + 12/7.
-3*(p - 4)*(p + 1)/7
Let n(w) be the second derivative of w**6/40 - w**5/8 + 7*w**4/48 + w**3/6 - w**2/2 - 16*w. Let n(x) = 0. What is x?
-2/3, 1, 2
Let y(k) = -5*k**3 - 10*k**2 + 70*k + 30. Let u(x) = -x**3 - x + 1. Let m(h) = -10*u(h) - y(h). Solve m(v) = 0.
-2, -2/3, 2
Let j(z) be the second derivative of -5*z**4/12 - 5*z**3/6 + 15*z. Factor j(h).
-5*h*(h + 1)
Let m(d) be the first derivative of -d**6/220 + d**5/66 + d**4/66 + 5*d**2/2 - 2. Let r(z) be the second derivative of m(z). Let r(a) = 0. What is a?
-1/3, 0, 2
Find y such that -4/11 - 8/11*y - 7/11*y**3 + 19/11*y**2 = 0.
-2/7, 1, 2
Suppose 0 = -2*z + 4*z. Factor -2*a**2 + z*a**2 - 3*a + 5*a**2 - 9*a + 12.
3*(a - 2)**2
Let j = -162 + 1633/10. Let t = j - 9/10. Suppose 4/5 - 2/5*f**3 - 6/5*f**2 + t*f**4 + 2/5*f = 0. Calculate f.
-1, 1, 2
Let y(u) be the third derivative of -u**7/735 - u**6/210 + 2*u**5/105 + u**4/42 - u**3/7 + 11*u**2. Suppose y(f) = 0. What is f?
-3, -1, 1
Let n(z) be the second derivative of z**5/70 + z**4/14 + z**3/7 + z**2/7 + 4*z. Factor n(r).
2*(r + 1)**3/7
Let m = -142 - -145. Factor 3/5*n**m + 3/5 + 9/5*n**2 + 9/5*n.
3*(n + 1)**3/5
Let c be (-8)/(-126) + 60/270. Factor -2/7*f + 4/7 - c*f**2.
-2*(f - 1)*(f + 2)/7
Let a(r) be the first derivative of 5*r**3/6 - 5*r**2/4 - 6. Factor a(t).
5*t*(t - 1)/2
Suppose 4*y + 3*j + 2 = -10, 3*y - 4 = j. Factor 0 + y*s**2 - 3/2*s**3 + 3/2*s.
-3*s*(s - 1)*(s + 1)/2
Let t(b) be the third derivative of -b**7/2100 - b**6/900 + b**5/150 + b**3/2 - 3*b**2. Let s(f) be the first derivative of t(f). Let s(i) = 0. What is i?
-2, 0, 1
Let s = -236 + 239. Factor -2/3*p + 0 - p**2 - 1/3*p**s.
-p*(p + 1)*(p + 2)/3
Factor -2/5*m**2 - 6/5 - 8/5*m.
-2*(m + 1)*(m + 3)/5
Let u(d) = d**2 - 11*d. Let o be u(11). Let s(x) be the third derivative of 1/30*x**5 + 0*x**4 + 0*x + 2*x**2 + 0 + o*x**3. Let s(w) = 0. What is w?
0
Let n = 1 - -3. Let i(l) = -2*l**3 - 7*l - l + 6*l**2 - 2*l**2 + 2*l**2. Let h(z) = -2*z**3 + 6*z**2 - 7*z. Let b(t) = n*h(t) - 3*i(t). Factor b(x).
-2*x*(x - 2)*(x - 1)
Let x(u) be the third derivative of 1/30*u**6 + 1/60*u**5 + 1/70*u**7 + 0*u + 0 + u**2 + 0*u**3 + 0*u**4. Factor x(s).
s**2*(s + 1)*(3*s + 1)
Let b be ((-2)/3)/((-2)/9). Let n(k) be the second derivative of 0 - 3/10*k**6 + k + 0*k**2 + 0*k**b + 3/10*k**5 - 1/12*k**4. Factor n(v).
-v**2*(3*v - 1)**2
Let m = -17/135 - -5/297. Let x = 92/165 - m. Let 0 + x*b**3 + 0*b - 2/3*b**2 = 0. What is b?
0, 1
Let c be ((-13)/5)/(1/29). Let v = -75 - c. Factor -6/5*j**2 - v*j**3 - 2/5 - 6/5*j.
-2*(j + 1)**3/5
Let w = -159/2 + 80. Factor 0 + 1/2*g**2 + w*g.
g*(g + 1)/2
Let u = 40 + -45. Let p be 102/(-27) - (1 + u). Solve 2/9*s**3 - 2/9*s + 0 + p*s**2 - 2/9*s**4 = 0 for s.
-1, 0, 1
Suppose -3*z + 0*z = -5*c - 26, -4*z - 4*c = 8. Factor 10/7*t**4 + 20/7*t**z + 2/7 + 2/7*t**5 + 10/7*t + 20/7*t**3.
2*(t + 1)**5/7
Let t = -699 + 3511/5. Determine i, given that -1/5*i**4 - 24/5*i**2 + 8/5*i**3 + 32/5*i - t = 0.
2
Factor -1/3*p**2 - 1/3 - 2/3*p.
-(p + 1)**2/3
Suppose 0 + 2/3*z + 0*z**2 + 1/6*z**4 - 1/2*z**3 = 0. Calculate z.
-1, 0, 2
Suppose 0 = i - 2*i. Let v = 64 - 62. Factor 5/3*h**v - 2/3*h + i.
h*(5*h - 2)/3
Let f(z) be the second derivative of -z**5/5 - z**4 - 2*z**3 - 2*z**2 - 3*z. Factor f(x).
-4*(x + 1)**3
Determine g, given that 1/2*g**2 - 1/2 + 0*g = 0.
-1, 1
Suppose 0 = 3*f - 0 - 6. Suppose -5 = -f*p + p. Factor 2*c**2 + c**5 - p*c**5 - 1 + 5*c**5 - c**4 + c - 2*c**3.
(c - 1)**3*(c + 1)**2
Let a(h) = h**2 + 1. Let k(z) = 3*z**2 - z + 3. Let q(j) = -21*a(j) + 6*k(j). Determine s so that q(s) = 0.
-1
Let g(c) be the second derivative of c**6/15 - 13*c**5/40 + 11*c**4/24 - c**3/6 + 4*c. What is s in g(s) = 0?
0, 1/4, 1, 2
Let m(s) = -s**2 + 6*s - 1. Let l be m(4). Suppose -4*b + l*b = 0. Factor -45/4*k**3 - k - 81/4*k**4 + b + 8*k**2.
-k*(k + 1)*(9*k - 2)**2/4
Determine k, given that 2*k**3 - 18*k + 37*k + 4*k**2 - 17*k = 0.
-1, 0
Let b(w) be the first derivative of -5 - 2*w + 3/2*w**2 - 1/3*w**3. Factor b(c).
-(c - 2)*(c - 1)
Let m(l) be the first derivative of l**4/5 + l**3/5 - 2*l**2/5 - 3*l/5 - 20. Let m(v) = 0. Calculate v.
-1, -3/4, 1
Let a(y) be the second derivative of 0 + 0*y**3 + 0*y**2 + 2*y + 1/30*y**4. Determine x, given that a(x) = 0.
0
Suppose -2*u + 2*y - 2 = 0, 3*u - 5 + 0 = y. Factor -2 + 3*q**2 + q**4 - u*q**3 - 4*q**4 + 2 + 3*q.
-3*q*(q - 1)*(q + 1)**2
Suppose -3*w - 2*t + t = 4, -5 = 5*t. Let j be (8/16)/(w - -3). Factor j*c**2 + 1/4 - 1/2*c.
(c - 1)**2/4
Let v = 29 + -29. Suppose 0*j + v - 2*j**3 + 2*j**4 + 2/3*j**2 - 2/3*j**5 = 0. Calculate j.
0, 1
Let b be 0/(0 + (-3)/(-12)*4). Factor 2/11*t**2 + b*t - 2/11.
2*(t - 1)*(t + 1)/11
Let w(j) be the first derivative of -j**5/30 + j**4/24 + j**3/18 - j**2/12 + 17. Factor w(f).
-f*(f - 1)**2*(f + 1)/6
Suppose 4 = -2*o + 3*o. Let r(l) be the first derivative of 4/3*l**6 + 0*l + 2 + 4*l**3 + l**2 + 13/2*l**o + 24/5*l**5. Determine p, given that r(p) = 0.
-1, -1/2, 0
Let a(l) be the first derivative of l**5/30 + l**4/6 + l**3/3 + l**2/2 - 1. Let p(u) be the second derivative of a(u). Determine j so that p(j) = 0.
-1
Factor 0*i**2 - 2/3*i**3 + 0 + 0*i + 2/3*i**4.
2*i**3*(i - 1)/3
Su