 7003/7 + -997. Solve -p*o + 8/7 - 54/7*o**2 = 0.
-2/3, 2/9
Let h(g) be the second derivative of 0*g**3 - 5*g + 0*g**4 + 0 + 1/20*g**5 + 0*g**2. Suppose h(l) = 0. What is l?
0
Factor 108 - 1/2*o**3 - 54*o + 9*o**2.
-(o - 6)**3/2
Let b(m) be the third derivative of -1/60*m**4 + 0*m**3 + 0*m + 0 - m**2 - 1/150*m**5. Suppose b(t) = 0. Calculate t.
-1, 0
Suppose -4*u = -2*u - 14. Solve -u + 3*j - 4 + 3 + 2 + 3*j**2 = 0.
-2, 1
Let k(o) be the third derivative of o**8/112 + 2*o**7/35 + o**6/8 + o**5/10 + 3*o**2. Suppose k(x) = 0. What is x?
-2, -1, 0
Let o(n) be the third derivative of 0 - 6*n**2 + 0*n**3 + 0*n - 1/60*n**5 + 1/120*n**6 - 1/12*n**4. Factor o(w).
w*(w - 2)*(w + 1)
Find v, given that -89*v + 155*v + 405*v**2 + 114*v + 20 = 0.
-2/9
Let l(a) be the first derivative of -a**7/280 - 7*a**6/120 - 3*a**5/8 - 9*a**4/8 + 2*a**3/3 + 2. Let b(d) be the third derivative of l(d). Solve b(y) = 0.
-3, -1
Let b(v) be the first derivative of -v**4/22 - 2*v**3/11 - 3*v**2/11 - 2*v/11 + 2. Factor b(k).
-2*(k + 1)**3/11
Let q = 1491/4 - 372. Factor -q*m**2 - 3*m - 3.
-3*(m + 2)**2/4
Let i(c) = -39*c**2 - 36*c + 3. Let j(s) = -10*s**2 - 9*s + 1. Let q(d) = -6*i(d) + 22*j(d). Factor q(f).
2*(f + 1)*(7*f + 2)
Let r(o) be the first derivative of -2/5*o**5 + 1 + 2*o - 4/3*o**3 - 1/15*o**6 - o**4 - o**2. Let x(n) be the first derivative of r(n). Factor x(k).
-2*(k + 1)**4
Suppose -4 = 2*i, 5*s + i + 2*i - 9 = 0. Let l(u) be the first derivative of -2/15*u**5 + 0*u**2 - 1/3*u**6 + 4/9*u**4 + 8/27*u**s + 2 + 0*u. Factor l(j).
-2*j**2*(j - 1)*(3*j + 2)**2/9
Suppose 3 = -w + 6. Factor -2*g**3 - g**3 + 3*g + 0*g + 0*g**w.
-3*g*(g - 1)*(g + 1)
Let c(w) = 22*w - 40. Let t be c(2). Find p, given that 0 - p + 3/2*p**t + 2*p**3 - 1/2*p**2 = 0.
-1, 0, 2/3
Let r be (-1*3)/((-63)/63). Factor -u**2 - 1/3 - u - 1/3*u**r.
-(u + 1)**3/3
Factor -2/5*u**2 + 6/5*u - 4/5.
-2*(u - 2)*(u - 1)/5
Let b(v) be the first derivative of 2*v**3/15 - 2*v/5 - 4. Determine r, given that b(r) = 0.
-1, 1
Let 0 + 0*x - 2/3*x**3 + 0*x**2 + 2/3*x**4 = 0. Calculate x.
0, 1
Let a(i) be the first derivative of i**6/27 + 14*i**5/45 + i**4 + 40*i**3/27 + 8*i**2/9 - 7. Determine t so that a(t) = 0.
-2, -1, 0
Let o = -4 - -5. Let n be 3 - 6 - (2 + o). Let b(u) = -6*u**2 + 9*u - 4. Let l(a) = 7*a**2 - 10*a + 4. Let k(p) = n*b(p) - 5*l(p). Find i such that k(i) = 0.
2
Let j(v) be the second derivative of v**4/12 + v**3/6 + 3*v. Let m(h) = -4*h**2 - 2*h + 2. Let c(d) = 2*j(d) + m(d). Suppose c(f) = 0. What is f?
-1, 1
Let y(m) be the third derivative of -1/30*m**6 + 1/20*m**5 + 1/210*m**7 + 1/6*m**4 + 0 + 0*m - 2*m**2 - 2/3*m**3. Solve y(g) = 0 for g.
-1, 1, 2
Let j = -185 + 927/5. Factor 6/5*b - 2/5 - 6/5*b**2 + j*b**3.
2*(b - 1)**3/5
Let m(k) be the third derivative of 3*k**6/40 - 11*k**5/20 + 3*k**4/4 + 6*k**2. Determine u, given that m(u) = 0.
0, 2/3, 3
Let n(t) be the third derivative of 1/2*t**3 - 1/1800*t**6 + 1/600*t**5 + 0*t**4 + 0 + 0*t - 2*t**2. Let o(r) be the first derivative of n(r). Solve o(i) = 0.
0, 1
Let b be -2 + -3 + (2392/(-32))/(-13). Let c = -64 - -257/4. Solve -1/2 + c*q + b*q**2 = 0 for q.
-1, 2/3
Factor -3*v**3 - v**3 + v**2 + 5*v**3 + 5*v + 2 + 3*v**2.
(v + 1)**2*(v + 2)
Let m = -221/3 + 79. Let b be 4/3 - (48 - 48). Suppose 13/3*n**3 + 0 - m*n**2 - n**4 + b*n = 0. What is n?
0, 1/3, 2
Let f(a) = -a**4 + 8*a**3 + 9*a**2 + 7*a. Let t(w) = w**4 - 7*w**3 - 8*w**2 - 6*w. Let h(i) = 6*f(i) + 7*t(i). Let h(c) = 0. Calculate c.
-1, 0, 2
Suppose o = -4*o + 25. Determine w, given that w**2 + 3*w - 5*w**2 + 6*w**3 - o*w = 0.
-1/3, 0, 1
Suppose 5 = -2*l - 3*l. Let d be l/(-21) - 4/(-14). Let 1/3*y + d*y**2 + 0 = 0. Calculate y.
-1, 0
Let u be (-202)/22 + (-4)/(-22). Let n be (u/12)/(-3 + 0). Suppose -1/2*s**2 + 3/4*s - n = 0. What is s?
1/2, 1
What is r in -2/5*r**3 - 2/5 + 2/5*r**2 + 2/5*r = 0?
-1, 1
Suppose 0 + 6/5*v - 2/5*v**3 + 4/5*v**2 = 0. What is v?
-1, 0, 3
Factor 8/5 - 12/5*k + 0*k**2 + 4/5*k**3.
4*(k - 1)**2*(k + 2)/5
Let v(x) be the first derivative of -6 + 1/4*x**2 + 1/6*x**3 - 1/2*x - 1/8*x**4. Let v(d) = 0. What is d?
-1, 1
Let b(o) = -17*o**4 + 37*o**3 + 12*o**2 - 32*o + 10. Let z(j) = j**4 - j**3 - j**2 + j. Let i(u) = b(u) - 3*z(u). Let i(m) = 0. Calculate m.
-1, 1/2, 2
Let p(s) be the second derivative of 7*s**7/2 - 77*s**6/10 - 51*s**5/20 + 73*s**4/4 - 16*s**3 + 6*s**2 + 8*s. What is y in p(y) = 0?
-1, 2/7, 1
Let m = -764 + 18343/24. Let b(t) be the second derivative of 3*t + 0 + t**5 + 119/120*t**6 - 14/3*t**3 - 2*t**2 - 23/6*t**4 - m*t**7. Solve b(g) = 0.
-1, -2/7, 2
Let i = 0 - -2. Let q = -13 - -27. Factor 6*g**2 + 3*g**2 - g**i - q*g - 4.
2*(g - 2)*(4*g + 1)
Let d(x) be the second derivative of -3*x**5/20 + x**3/2 + 8*x. Solve d(r) = 0 for r.
-1, 0, 1
Let u(g) be the second derivative of -g**6/15 - 3*g**5/10 - g**4/3 + 5*g. Find l such that u(l) = 0.
-2, -1, 0
Let a(w) be the first derivative of 6*w**5/5 + w**4 - 2*w**3 - 2*w**2 - 20. Factor a(q).
2*q*(q - 1)*(q + 1)*(3*q + 2)
Let k = -81 - -85. Factor 0*u + 2/5*u**3 + 4/5*u**k + 0*u**2 + 0 + 2/5*u**5.
2*u**3*(u + 1)**2/5
Let k(v) be the second derivative of -v**9/5040 + v**8/560 - v**7/210 - v**4/12 + 5*v. Let t(g) be the third derivative of k(g). Find y, given that t(y) = 0.
0, 2
Let -2/3*b**3 + 10/3*b + 4 - 4/3*b**2 = 0. Calculate b.
-3, -1, 2
Let h be (-7)/42 - -2*(-87)/(-180). Solve 2/5*g**2 + 0 + 2*g**4 - 16/5*g**3 + h*g = 0 for g.
-2/5, 0, 1
Let k(q) be the second derivative of 35*q**4/12 + 11*q**3/6 - 3*q**2 + 57*q. Determine b so that k(b) = 0.
-3/5, 2/7
Let b(i) be the third derivative of 2/75*i**5 + 2*i**2 + 2/75*i**6 + 0*i**3 + 1/105*i**7 + 0*i**4 + 0*i + 1/840*i**8 + 0. Factor b(p).
2*p**2*(p + 1)*(p + 2)**2/5
Let m(x) be the third derivative of x**5/135 - 2*x**4/27 - 10*x**3/27 + 15*x**2. Suppose m(q) = 0. What is q?
-1, 5
Let -4/5*z**2 - 12/5*z + 16/5 = 0. Calculate z.
-4, 1
Let a(m) = 11*m**3 - m**2 - 14*m + 4. Let l(b) = -b**3 + b**2. Let r(p) = a(p) - 3*l(p). Let r(f) = 0. What is f?
-1, 2/7, 1
Factor -3*v + 11*v**3 - 15*v**3 + 2*v**5 + 5*v.
2*v*(v - 1)**2*(v + 1)**2
Let i be 122/190 - (-2 + 2). Let s = 3/19 + i. Determine m so that -2/5*m**2 - s*m - 2/5 = 0.
-1
Let w(p) be the third derivative of -p**5/300 - p**4/40 + 2*p**3/15 + 3*p**2. Let w(h) = 0. Calculate h.
-4, 1
Suppose -3*p + 4*t - 13 = -5, -5*p = 4*t + 24. Let f be 11/3 + p/(-12). Factor 16/3*z**f + 14/3*z**3 + 0 + 2/3*z**2 - 32/3*z**5 + 0*z.
-2*z**2*(z - 1)*(4*z + 1)**2/3
Let s(o) = 6*o**3 + 8*o**2 + 2*o - 16. Let g(c) = 7*c**3 + 7*c**2 + 3*c - 17. Let p(r) = -4*g(r) + 5*s(r). Factor p(m).
2*(m - 1)*(m + 1)*(m + 6)
Let f(k) be the second derivative of k**6/280 + k**5/70 - k**4/56 - k**3/7 + 5*k**2/2 + 5*k. Let g(b) be the first derivative of f(b). Factor g(a).
3*(a - 1)*(a + 1)*(a + 2)/7
Let w(u) = u**2 + u. Let s(r) = r. Let q(p) = 2*s(p) - w(p). Factor q(n).
-n*(n - 1)
Suppose -4 = -4*v + 4. Factor 6*q**2 + 2*q**2 - 8*q**2 + q**3 + 3*q**2 + v*q.
q*(q + 1)*(q + 2)
Let j = 2 + -5. Let z(o) = -5*o**4 - 7*o**3 + 3*o**2 - 3*o - 3. Let p(g) = 24*g**4 + 34*g**3 - 14*g**2 + 14*g + 14. Let d(c) = j*p(c) - 14*z(c). Factor d(k).
-2*k**3*(k + 2)
Let t(n) be the third derivative of 125*n**7/14 + 175*n**6/6 + 40*n**5 + 30*n**4 + 40*n**3/3 - 13*n**2. Find k, given that t(k) = 0.
-2/3, -2/5
Let h = -2 - -5/2. Factor h*k**3 + 0 - 1/2*k**2 - 1/2*k + 1/2*k**4.
k*(k - 1)*(k + 1)**2/2
Let n(w) be the third derivative of 0 + 0*w**3 + 2*w**2 + 0*w - 1/270*w**5 + 1/945*w**7 + 1/108*w**4 - 1/540*w**6. What is m in n(m) = 0?
-1, 0, 1
Let s be 3/(-1*3) + -11. Let o be -3*2/s*6. Factor -4*c**5 - 4*c**4 + o*c**5 - 5*c**5.
-2*c**4*(3*c + 2)
Let k(z) = -138*z**2 + 75*z - 12. Let v(r) = 275*r**2 - 150*r + 25. Let s(q) = -5*k(q) - 2*v(q). Let s(d) = 0. Calculate d.
1/4, 2/7
Let v(y) be the first derivative of 2*y**3/9 + 10*y**2/3 - 4. Factor v(k).
2*k*(k + 10)/3
Let t be (-2)/(-20) + (-16)/160. Let f = -42 + 128/3. Factor 2/3*m + 4*m**3 - 8/3*m**2 + f*m**5 + t - 8/3*m**4.
2*m*(m - 1)**4/3
Let t = -32 + 34. Let g(v) be the third derivative of -1/270*v**5 - 1/27*v**3 - v**t + 0*v + 0 + 1/54*v**4. Factor g(d).
-2*(d - 1)**2/9
Let a = 6 + -4. Let r(c) = 2*c + 4*c**a + 3*c**2 + 6*c. Let b(f) = 4*f**2 + 4*f. Let t(o) = -5*b(o) + 2*r(o). Factor t(q).
-2*q*(3*q + 2)
Find x,