*2. Factor g(t).
-2*(t - 2)*(t + 3)/7
Suppose -3*x + 4*a + a + 47 = 0, -33 = -5*x - 3*a. Solve x*t**2 - 10 - 6 + 2*t + 16 + 7*t**3 = 0.
-1, -2/7, 0
Let m(h) be the second derivative of -5*h - 3/2*h**2 + 1/3*h**3 + 0 - 1/36*h**4. Factor m(f).
-(f - 3)**2/3
Let 2203 - 1508 + 1391 + 4638 + 4*n**2 + 328*n = 0. Calculate n.
-41
Let p be 2 + -1 - (-2 + 1). Suppose 0*l - 11 = -p*l + 5*f, 0 = -4*f - 4. Factor 2*r**2 + r**5 + 2*r**5 - 2*r**4 - 2*r**l - r**5.
2*r**2*(r - 1)**2*(r + 1)
Let x(w) = w**3 - 26*w**2 - w + 22. Let n be x(26). Let k be (-6)/n*23/69. Suppose -7/4*y**2 + k*y + 1/4*y**5 + 9/4*y**3 - 5/4*y**4 + 0 = 0. Calculate y.
0, 1, 2
Let x be 1*(159 + -1) - -4. Let o = 162 - x. Factor o + 1/2*r**2 - 1/2*r.
r*(r - 1)/2
Let j(t) be the second derivative of 3*t**6/50 - 6*t**5/25 + t**4/5 - 6*t - 23. Factor j(v).
3*v**2*(v - 2)*(3*v - 2)/5
Let b(z) be the second derivative of -z**4/30 + 23*z**3/15 + 4*z - 10. Suppose b(y) = 0. What is y?
0, 23
Let h(g) = -g + 2. Let b be h(3). Let s(k) = 3*k**2 + 2*k + 2. Let x be s(b). Find a such that 0*a + 0 + 4/7*a**4 + 2/7*a**x + 0*a**2 + 2/7*a**5 = 0.
-1, 0
Let n be 3 + (6/14 - (30 + -28)). Factor 34/7*l**2 - 32/7*l - n*l**3 + 8/7.
-2*(l - 2)*(l - 1)*(5*l - 2)/7
Suppose -2*v - 12 = -0*c + 2*c, -4*v + 4 = 0. Let f be (-19)/c - (-14)/49. Let 23*u - u**2 - 23*u - 2*u**f - u**4 = 0. What is u?
-1, 0
Suppose -125*m + 16 = -161 - 73. Suppose -3/4*k**5 - 3*k**m + 0 + 3/2*k**3 - 2*k + 7/4*k**4 = 0. What is k?
-1, -2/3, 0, 2
Let d(k) be the second derivative of 0 + 1/35*k**5 - 2*k + 4/7*k**2 + 4/7*k**3 + 3/14*k**4. Find w, given that d(w) = 0.
-2, -1/2
Let g = -13745 + 13745. Factor 0*u - 4/5*u**2 + 4/5*u**5 + 4/5*u**4 + g - 4/5*u**3.
4*u**2*(u - 1)*(u + 1)**2/5
Let -1/6*t**3 - 2/3*t + 0 - 2/3*t**2 = 0. Calculate t.
-2, 0
Let g(r) be the first derivative of 5*r**3/2 + 21*r**2/2 - 72*r + 167. Suppose g(x) = 0. Calculate x.
-24/5, 2
Let h(g) = -2*g**2 - 2*g. Let k(d) = -d - 1. Let t(p) = -9*p**2 - 6*p + 3. Let y(c) = -3*k(c) - t(c). Let q(r) = -21*h(r) - 5*y(r). Let q(i) = 0. Calculate i.
-1, 0
Let m be 31603/20570 - (9/10 - (-1)/(-1)). Factor 6/11*t**2 + m*t + 0.
6*t*(t + 3)/11
Suppose 16*i + 4*g = 20, 13*g + 12 = 3*i + 11*g. Let z(d) = -d**2 + 3*d - 2. Let b be z(2). Let 1/3*k**i - 4/3*k + b = 0. What is k?
0, 4
Determine w so that w**2 - 3*w - 3 + 4 + 0*w**2 - 1 + 2 = 0.
1, 2
Let o(m) be the second derivative of m**6/50 - m**4/20 + 89*m - 2. Suppose o(f) = 0. What is f?
-1, 0, 1
Let b(w) be the first derivative of -2*w**6/15 - 2*w**5/5 + w**4/3 + 4*w**3/3 + 6*w - 17. Let f(m) be the first derivative of b(m). Let f(j) = 0. Calculate j.
-2, -1, 0, 1
Factor -2/5 + 2/5*y**2 - 1/5*y**3 + 1/5*y.
-(y - 2)*(y - 1)*(y + 1)/5
Let c(m) be the second derivative of -m**7/21 - 13*m**6/15 - 7*m**5/2 + 49*m**4/6 - 26*m. Factor c(l).
-2*l**2*(l - 1)*(l + 7)**2
Let l = -131 + 127. Let z(r) = -3*r**2 + 37*r - 34. Let i(m) = 3*m**2 - 36*m + 33. Let h(n) = l*i(n) - 3*z(n). Factor h(f).
-3*(f - 10)*(f - 1)
Let d(x) be the first derivative of -2 + 4*x + 0*x**3 + 0*x**2 - 1/15*x**4. Let r(h) be the first derivative of d(h). Determine n, given that r(n) = 0.
0
Let c(z) = -56*z - 2631. Let u be c(-47). What is r in -1/3*r**2 + 5/3*r - 1/3*r**3 - u = 0?
-3, 1
Let p = 26 + -14. What is o in p*o - 5 - 2*o**3 + 4*o**4 - o**3 - 9*o**3 + 4*o**2 - 3 = 0?
-1, 1, 2
Let g(w) = -24*w**2 + 96*w - 128. Let l(p) = -p**3. Let z(h) = -g(h) + 2*l(h). Solve z(o) = 0.
4
Let u = -3382 + 9730/3. Let t = u + 140. Factor -t + 8/3*c - 4/3*c**2.
-4*(c - 1)**2/3
Suppose k + 60 = -3*x, -3*k + 4*x - 181 = 51. Let w = -72 - k. Factor -1/6*n + w + 1/6*n**2.
n*(n - 1)/6
Let h = 14738/3 + -4912. Let -2/3*m + 2*m**2 - 4/3 - 2/3*m**4 + h*m**3 = 0. Calculate m.
-1, 1, 2
Let m = 183 - 179. Let q(x) be the second derivative of 7*x + 3/100*x**5 - 1/10*x**3 + 0 + 3/5*x**2 - 1/10*x**m. Factor q(y).
3*(y - 2)*(y - 1)*(y + 1)/5
Let h(b) be the first derivative of -b**5/60 - b**4/2 - 6*b**3 - 11*b**2/2 + 19. Let u(w) be the second derivative of h(w). Let u(j) = 0. What is j?
-6
Let l be 1/(-4)*3 + -9 + 5889/572. Factor -2/11*b**2 + l*b - 4/11.
-2*(b - 2)*(b - 1)/11
Suppose 3*o - 14 = 7*b - 3*b, 0 = -4*o - 5*b - 33. Let l be (o/5)/((-3)/30). Factor 0*g - 33*g**3 - 10*g - 5*g**l - 25*g**2 + 0*g + 13*g**3.
-5*g*(g + 1)**2*(g + 2)
Let h(q) = q**2 + 1. Suppose -2*n - 1 = 3*m, -4*n - 4*m - m - 5 = 0. Let t(w) = 2*w**2 - 6*w + 5. Let v(f) = n*h(f) + t(f). Let v(y) = 0. What is y?
-2, 0
Let m(v) = v**2 + 3*v - 10. Let z be m(-5). Let i(j) be the first derivative of 0*j + 1 + 1/14*j**4 + 0*j**3 + z*j**2. Factor i(t).
2*t**3/7
Let w(x) be the first derivative of x**3/12 - 2*x**2 - 33*x + 211. Let w(m) = 0. What is m?
-6, 22
Let h(o) be the third derivative of o**7/6720 + o**6/960 + o**5/480 + 5*o**3/2 + 7*o**2. Let c(w) be the first derivative of h(w). Factor c(n).
n*(n + 1)*(n + 2)/8
Let s = 14 + -11. Determine d so that 15 - 6*d**s - 15 - 5*d**4 + 2*d**4 = 0.
-2, 0
Let p(f) be the second derivative of -f**9/15120 + f**7/840 - f**6/360 + f**4/12 - 7*f. Let y(k) be the third derivative of p(k). Factor y(d).
-d*(d - 1)**2*(d + 2)
Let o be 2/(-9) + 7014/(-189). Let q = o - -1910/51. Factor 4/17 + 6/17*i + q*i**2.
2*(i + 1)*(i + 2)/17
Let k(u) be the second derivative of -u**6/180 + u**5/15 - u**4/3 + 8*u**3/9 - 6*u**2 - 12*u. Let v(o) be the first derivative of k(o). Let v(q) = 0. What is q?
2
Let f(g) be the third derivative of g**7/70 - 17*g**6/40 + 4*g**5 - 8*g**4 - 2*g**2 - 22. Let f(j) = 0. What is j?
0, 1, 8
Let u be (4/3 - (-5)/(-15))*-3. Let q(a) = -7*a**2 - 40*a - 33. Let y(f) = 13*f**2 + 80*f + 67. Let b(v) = u*y(v) - 5*q(v). Find x, given that b(x) = 0.
-9, -1
Let x be (-741)/(-342) - 3/18. Factor 20/11 + 2*t + 2/11*t**x.
2*(t + 1)*(t + 10)/11
Let r = -427967/5 - -85313. Let i = 282 + r. Factor -2/5*x**2 + 8/5*x - i.
-2*(x - 2)**2/5
Let k(w) be the third derivative of -w**6/360 + 3*w**5/20 - 17*w**4/24 + 25*w**3/18 + 11*w**2 - 3. Factor k(d).
-(d - 25)*(d - 1)**2/3
Let s be 9/(-15) + (-882)/(-245). Find x, given that 0 - 2/9*x - 50/9*x**s - 20/9*x**2 = 0.
-1/5, 0
Let h(y) = -10*y - 33. Let v be h(-4). Suppose -v*r = -33*r. Solve 0 + r*p + 2/17*p**5 + 0*p**4 + 0*p**2 - 2/17*p**3 = 0.
-1, 0, 1
Suppose -8*w + 20*w = 7*w. Factor -1/7*c**5 + 0*c - 1/7*c**3 + 2/7*c**4 + w + 0*c**2.
-c**3*(c - 1)**2/7
Let f = -14703 - -14707. Factor 26 + f*j + 2/13*j**2.
2*(j + 13)**2/13
Factor -4*o**4 + 34*o**2 - 13*o**2 - 6*o**2 - 32 + 28*o**3 + 21*o**2 - 28*o.
-4*(o - 8)*(o - 1)*(o + 1)**2
Let w = 3495 + -3492. Factor -2/3*i**2 - 2/3*i**w + 4/3 + 14/9*i + 2/9*i**4.
2*(i - 3)*(i - 2)*(i + 1)**2/9
Let j(a) be the third derivative of -a**8/1680 - a**7/42 - 19*a**6/60 - 9*a**5/10 + 81*a**4/8 - 243*a**3/10 - 67*a**2. What is c in j(c) = 0?
-9, 1
Let f(c) = c**2 + 11*c + 1. Let z be f(-11). Let r be (z/(-4))/((-2)/24). Factor -r*x + 12 + 3*x**2 + 2*x - x - 10*x.
3*(x - 2)**2
Let g(p) = 69*p**2 + 60*p + 6. Let d(t) = 48*t - 96*t + 48*t - 1 - t**2. Let v(k) = 6*d(k) - g(k). What is s in v(s) = 0?
-2/5
Let q = -57 + 81. Suppose -9*p + 46*p**3 - 18*p**3 + 3*p**2 + 2 - q*p**3 = 0. What is p?
-2, 1/4, 1
Let u = 6081 - 6079. Factor 2/5*m**u - 8/5*m + 0.
2*m*(m - 4)/5
Solve 3*p**4 + 3 - 3 + 85*p**3 - 88*p**3 - 6*p**2 = 0 for p.
-1, 0, 2
Determine k so that -5/8*k**2 + 0 - 1/8*k**3 - 3/4*k = 0.
-3, -2, 0
Let m(k) = k - 9. Let u be m(-3). Let b be 4/(-16) + (-35)/u. Find f, given that 2*f**2 + 8/3*f - b = 0.
-2, 2/3
Let h(v) be the third derivative of v**7/630 + v**6/90 + v**5/36 + v**4/36 + 85*v**2. Factor h(d).
d*(d + 1)**2*(d + 2)/3
Let s = 319 + -316. Let m(c) be the third derivative of 3/100*c**5 + 3*c**2 + 0*c**s - 3/50*c**6 + 0 + 1/50*c**7 + 1/20*c**4 + 0*c. Factor m(g).
3*g*(g - 1)**2*(7*g + 2)/5
Let v(i) be the second derivative of 3*i**5/100 - 3*i**4/20 - 3*i**3/5 + 12*i**2/5 + 7*i + 2. Factor v(z).
3*(z - 4)*(z - 1)*(z + 2)/5
Let x(n) be the second derivative of -1/12*n**3 - 1/120*n**6 + 1/336*n**7 - 3/160*n**5 + 1/12*n**4 + 0*n**2 + 0 + 44*n. Factor x(c).
c*(c - 2)*(c - 1)**2*(c + 2)/8
Let d = -478 - -730. Suppose 32*h**5 + 184*h**4 + 2 - 10 + 8 + 116*h**2 + d*h**3 + 16*h = 0. What is h?
-4, -1, -1/2, -1/4, 0
Suppose -3*s + 1027 = 4*b + 997, 0 = -b + 6. Factor -5/7*x**3 + 2/7*x**4 + 4/7*x**s + 0 - 1/7*x.