f 2/21*t**4 + 13/210*t**5 + 0 + 2/105*t**6 + 1/441*t**7 + 4/63*t**3 + 0*t**2 + 13*t. Suppose n(x) = 0. What is x?
-2, -1, 0
Suppose 0 = -7*a + 2 - 23. Let j = a + 6. Factor 5*c + 2*c**3 - 4*c**2 + j - 4*c**3 + 1 - 3*c.
-2*(c - 1)*(c + 1)*(c + 2)
Factor 13*o + 12 + 24281*o**2 + 20*o - 24290*o**2.
-3*(o - 4)*(3*o + 1)
Let i = 8318 - 49883/6. Factor -5/3*t - 1/6*t**2 - i.
-(t + 5)**2/6
Let d(a) = -2*a + 25. Let m = -96 + 107. Let l be d(m). What is r in -8*r**2 - 4/3 + 8/3*r**4 + 22/3*r - 2/3*r**l = 0?
-2, 1/4, 1
Let r(w) be the second derivative of -w**6/15 + 13*w**5/10 - 23*w**4/3 + 4*w**3 + 72*w**2 - 120*w. Find c such that r(c) = 0.
-1, 2, 6
Let n(l) be the second derivative of l**5/80 + 37*l**4/48 - 20*l**3/3 + 41*l**2/2 - 245*l. Suppose n(v) = 0. What is v?
-41, 2
Factor 3/5*n**3 + 39/5*n**2 - 39/5 - 3/5*n.
3*(n - 1)*(n + 1)*(n + 13)/5
Let y(k) be the third derivative of 1/90*k**5 - 2*k**2 + 1/12*k**4 + 0 + 0*k + 2/9*k**3. Determine d, given that y(d) = 0.
-2, -1
Suppose 8 = 250*r - 248*r. Determine v so that 2*v**3 - 5*v**r + 2*v**4 - 2*v**4 + 3*v**4 = 0.
0, 1
Let p = 1724 - 1722. Factor -4*r + 4/5*r**p + 0.
4*r*(r - 5)/5
Let d(c) = -8*c**2 - 36*c - 24. Let s(a) = -a**3 - 7*a**2 - 36*a - 25. Let n(f) = -5*d(f) + 4*s(f). Solve n(t) = 0.
-1, 5
Factor -5/2*r**2 + 11/4*r - 1/4*r**3 + 0.
-r*(r - 1)*(r + 11)/4
Let i(q) = 6*q**3 + 7 - 2 - 2*q**2 - 9*q**2 - 11*q + 4*q. Let g(c) = 9*c**3 - 16*c**2 - 11*c + 7. Let p(h) = -5*g(h) + 7*i(h). Determine f, given that p(f) = 0.
-1, 0, 2
Let -22/9 + 2/9*r**2 - 20/9*r = 0. What is r?
-1, 11
Let h(x) be the first derivative of -x**4/2 + 7*x**2 + 12*x + 56. Factor h(z).
-2*(z - 3)*(z + 1)*(z + 2)
Let x(s) be the second derivative of -1/25*s**5 + 0 - 6/5*s**3 - 19*s - 7/10*s**2 - 11/20*s**4. Suppose x(t) = 0. Calculate t.
-7, -1, -1/4
Let w(i) = -2*i + 4. Let o be w(-2). Suppose -6*j = -o*j + 12. Factor -6 - j*n - 3/2*n**2.
-3*(n + 2)**2/2
Find l, given that 176/3*l - 4/3*l**2 - 1936/3 = 0.
22
Let h(o) = 409*o**3 + 180*o**2 + 20*o - 4. Let i(r) = -5 + 323*r**3 + 1676*r - 1656*r + 87*r**3 + 180*r**2. Let l(c) = 5*h(c) - 4*i(c). Factor l(j).
5*j*(9*j + 2)**2
Let w be -3 + 1 + -17 + (20 - -3). Let i(n) be the second derivative of 0 - 8*n**2 + 9*n - 1/3*n**w + 8/3*n**3. Factor i(a).
-4*(a - 2)**2
Let -9/8*q**4 - 87/8*q**3 + 147/8*q**2 - 33/4 + 159/8*q = 0. What is q?
-11, -1, 1/3, 2
Factor 1/6*p**2 + 0 + 29/6*p.
p*(p + 29)/6
Let v(t) be the second derivative of 1/2*t**4 + 2/3*t**2 - 4*t + 0 + 11/9*t**3. Determine g, given that v(g) = 0.
-1, -2/9
Let l(a) be the third derivative of a**5/30 - 29*a**4/84 + 4*a**3/21 + 3*a**2 - 51. Let l(u) = 0. Calculate u.
1/7, 4
Let v be -166*3/6*-3. Solve v*x**4 - 269*x**4 + 52*x**3 - 16*x**2 + 2*x - 18*x = 0.
-2/5, 0, 1, 2
Suppose 0 = -6*x + 4*x + 3*p + 11, 2*x + 2*p - 26 = 0. Let 66*k**4 + 10*k**2 + 14*k**4 - 55*k**3 + x - 10 - 35*k**5 = 0. Calculate k.
0, 2/7, 1
Let l(c) be the third derivative of c**5/360 + 31*c**4/144 + 29*c**3/18 - 392*c**2. Factor l(o).
(o + 2)*(o + 29)/6
Let q be -79 + 75 + (-37)/(-9). Solve 0*k + 0 + q*k**4 + 0*k**3 - 1/9*k**5 + 0*k**2 = 0 for k.
0, 1
Suppose -2*a + 23 + 15 = -2*g, -4*g = 2*a - 68. Suppose -5*i - 3*d + a = 0, -i - 4*d = -5*i. Solve 0*x + 3*x**2 - 3*x**4 + i*x - 11*x**3 + 8*x**3 = 0.
-1, 0, 1
Let t(b) = 8*b**4 - 8*b**2 - 7*b + 7. Let s = 50 - 43. Let p(f) = 4*f**4 - 4*f**2 - 4*f + 4. Let j(d) = s*p(d) - 4*t(d). Find c, given that j(c) = 0.
-1, 0, 1
Let f = 6 + -2. Determine a, given that -48*a**f + 18*a**5 + 0*a**2 - 2*a**3 - 11*a**3 + 64*a**2 - 3*a**3 + 32*a = 0.
-2/3, 0, 2
Suppose -r - 5 = -12. Let b(v) = v - 2. Let c be b(r). Find t such that 2*t**4 - 3*t**5 - c*t**4 + 0*t**5 = 0.
-1, 0
Let t(k) be the second derivative of -15*k - 4/33*k**3 + 0 - 4/11*k**2 - 1/66*k**4. Factor t(c).
-2*(c + 2)**2/11
Factor 31*o**3 - 4*o**2 + 28*o**3 + 28*o**3 - 89*o**3 - 2*o.
-2*o*(o + 1)**2
Factor n**2 + 8*n - 1/3*n**3 + 28/3.
-(n - 7)*(n + 2)**2/3
Let k(u) = -7*u**2 - 92*u - 13. Let y be k(-13). Let r(a) be the second derivative of 0 + 10*a - 3/5*a**5 - 2/15*a**6 - 2/3*a**3 - a**4 + y*a**2. Factor r(l).
-4*l*(l + 1)**3
Let d(l) = -48*l**3 - 145*l**2 - 114*l - 20. Let i(v) = -145*v**3 - 435*v**2 - 340*v - 60. Let m(w) = -10*d(w) + 3*i(w). Factor m(r).
5*(r + 1)*(r + 2)*(9*r + 2)
Let g be ((-150)/180)/((-1)/6). Suppose -l - 3 = -g*o, -l = -o + 4*l + 15. Find w such that o*w**3 - 2/19 + 4/19*w**2 + 0*w - 2/19*w**4 = 0.
-1, 1
Let n(j) = -5*j**2 - 29*j - 12. Let k(w) = 4*w**2 + 27*w + 13. Let d(q) = 6*k(q) + 5*n(q). Let d(f) = 0. What is f?
-1, 18
Find j such that 10 + 4*j + 25 - 12*j + 5*j**2 - 25*j - 7*j = 0.
1, 7
Let v(n) be the second derivative of -7/40*n**5 - 11/24*n**4 + 0 + 13/60*n**6 - 5*n - 1/21*n**7 + 11/12*n**3 - 1/2*n**2. Determine l, given that v(l) = 0.
-1, 1/4, 1, 2
Let s(x) be the second derivative of -x**4/90 - x**3/5 + 2*x**2/3 + 119*x - 3. Find o, given that s(o) = 0.
-10, 1
Let z(t) be the first derivative of 0*t - 1/2*t**2 - 5/2*t**6 - 16/3*t**4 - 17/3*t**5 + 3 - 8/3*t**3. Let o(u) be the second derivative of z(u). Factor o(x).
-4*(3*x + 1)*(5*x + 2)**2
Let h(b) be the second derivative of -b**5/210 + b**4/252 + 2*b**3/63 - 7*b**2/2 - 21*b. Let g(m) be the first derivative of h(m). What is k in g(k) = 0?
-2/3, 1
Let w(c) = 3*c - 9. Let g be 1 - (-7 + (-3)/(-1)). Let q be w(g). Find n such that q + 2*n - 19*n - 6*n + 7*n**2 = 0.
2/7, 3
Let b(l) be the third derivative of -l**5/120 - 7*l**4/48 - 5*l**3/6 + 9*l**2 + 2. Solve b(h) = 0 for h.
-5, -2
Let q(w) be the third derivative of 5/12*w**5 + 0 + 1/24*w**6 + 5/2*w**3 + 35/24*w**4 + 0*w + 10*w**2. Factor q(b).
5*(b + 1)**2*(b + 3)
Factor 346*c - 80 + 309*c + 4*c**2 - 623*c.
4*(c - 2)*(c + 10)
Let r = 15/214 + 169/642. Let s(g) be the third derivative of 1/60*g**6 + 4*g**2 + 0 + 8/15*g**3 + 11/100*g**5 + 0*g + 1/1050*g**7 + r*g**4. Solve s(f) = 0.
-4, -1
Let a be (-123)/(-546) - 3/42. Factor 0*w + a*w**4 + 2/13*w**3 - 2/13*w**2 - 2/13*w**5 + 0.
-2*w**2*(w - 1)**2*(w + 1)/13
Let s be 4 + (3*29)/(3/(-2)). Let z be s/12*((-17)/(-21) + -1). Determine c, given that 2/7*c**2 + 4/7 + z*c = 0.
-2, -1
Suppose -4*g = p + 3*p - 16, -3*g - 52 = -5*p. Let k be 102/15 + -6 + p/5. Suppose -12/5 - 3/5*q**2 + k*q = 0. Calculate q.
2
Let u(o) be the second derivative of o**8/2240 + o**7/280 - o**6/240 - 3*o**5/40 + 17*o**4/12 + 29*o. Let t(f) be the third derivative of u(f). Factor t(i).
3*(i - 1)*(i + 1)*(i + 3)
Let s(r) be the third derivative of 1/105*r**7 + 3*r**2 - 2/15*r**5 - 1/252*r**8 + 0 + 0*r**3 + 0*r - 2/9*r**4 + 1/18*r**6. Find j, given that s(j) = 0.
-2, -1/2, 0, 2
Let h(v) = -v**5 - v**4 + v**2 - v - 1. Let p(j) = -194*j**5 + 190*j**4 + 8*j**3 - 2*j**2 + 2*j + 2. Let g(z) = -2*h(z) - p(z). Find m, given that g(m) = 0.
-2/49, 0, 1
Let h(n) be the second derivative of -13*n + 0*n**2 - 1/5*n**5 + 0*n**3 + 0 + 2/21*n**7 - 4/15*n**6 + 2/3*n**4. Factor h(v).
4*v**2*(v - 2)*(v - 1)*(v + 1)
Let o(g) be the third derivative of 14*g**2 - 2/225*g**5 - 1/36*g**4 - 1/900*g**6 + 0 - 2/45*g**3 + 0*g. Find w such that o(w) = 0.
-2, -1
Let u(x) be the second derivative of -x**5/40 - 31*x**4/8 + 47*x**3/6 + 441*x. Factor u(j).
-j*(j - 1)*(j + 94)/2
Let y(j) be the second derivative of j**4/12 - 16*j**3/3 + 128*j**2 + 122*j. Solve y(f) = 0.
16
Determine a so that 9*a**3 - 81/5*a**2 - 3/5*a**4 + 0 + 39/5*a = 0.
0, 1, 13
Let r = 291/7 + -23477/574. Let u = -1/246 + r. Factor 0 + 0*j - u*j**2.
-2*j**2/3
Let i(w) = 5*w**4 + 24*w**3 - 31*w**2 - 66*w - 8. Let q(h) = -5*h**4 - 23*h**3 + 29*h**2 + 65*h + 6. Let y(v) = -6*i(v) - 4*q(v). Solve y(f) = 0.
-6, -1, -1/5, 2
Let o be 60/14 + 10/(-35). Let s be 1 - ((-3)/(-6))/(o/6). Factor 1/4*c**2 - s*c**3 + 0 + 1/4*c - 1/4*c**4.
-c*(c - 1)*(c + 1)**2/4
Let -28*u - 15 - 3/4*u**3 - 35/4*u**2 = 0. Calculate u.
-6, -5, -2/3
Let b = -206749/52 + 15905/4. Let 46/13*f**2 - b + 42/13*f = 0. Calculate f.
-1, 2/23
Let q(f) be the first derivative of -2*f**3/33 + 56*f**2/11 - 676. Factor q(k).
-2*k*(k - 56)/11
Let w = -14567/5 - -2929. Let k = 556/35 - w. Factor -k*b**2 - 2/7*b + 4/7.
-2*(b - 1)*(b + 2)/7
Let d(r) = 38*r - 15. Let c be d(5). Let o = -867/5 + c. Find a such that 2/5*a**2 + o*a + 8/5 = 0.
-2
Let w(s) be the first derivative of -7/30*s**5 - 7/3*s**2 - 1/3*s**3 + 23/2