h**3/3 + h. Let n(t) be the second derivative of m(t). What is o in n(o) = 0?
-1, 0, 2
Let c(n) be the first derivative of 4*n**5 + 17*n**4/2 + 23*n**3/4 + 7*n**2/4 + n/4 + 45. Let c(m) = 0. What is m?
-1, -1/4, -1/5
Let w(j) be the first derivative of 1/12*j**2 + 1/18*j**3 + 0*j - 12. Factor w(c).
c*(c + 1)/6
Let j be ((-100)/350)/(36/56) - (-20)/18. Let l be (-2)/(-42) - 2/(-7). Let l + 1/3*o**2 - j*o = 0. What is o?
1
Let f = 11/38 - -202/57. Find n such that 11/6*n + 11/6*n**4 + 1/3*n**5 + f*n**3 + 23/6*n**2 + 1/3 = 0.
-2, -1, -1/2
Let c = 189 - 189. Let r(w) be the first derivative of 1/26*w**4 - 7 + c*w + 4/39*w**3 + 1/13*w**2. Factor r(d).
2*d*(d + 1)**2/13
Let h(l) = -l + 4. Suppose j - 2 - 2 = 0. Let i be h(j). Factor -27 + 27 - p + p**2 + i*p.
p*(p - 1)
Let d = 1922 + -1919. Factor -d*g - 3/5*g**2 + 0.
-3*g*(g + 5)/5
Let v be ((-429)/99)/(65/(-15)). Let -39/4*j**2 - 13/8*j**3 + 5/2*j**4 + 13/2*j - v = 0. Calculate j.
-2, 1/4, 2/5, 2
Let w(z) = -1695*z**5 + 8820*z**4 - 155*z**3 - 4850*z**2 - 1840*z - 200. Let p(v) = v**5 + v**3 + v**2 + v. Let t(d) = 20*p(d) - w(d). Factor t(j).
5*(j - 5)*(j - 1)*(7*j + 2)**3
Factor 48841/2 + 221*x + 1/2*x**2.
(x + 221)**2/2
Let q(b) be the second derivative of 1/9*b**4 + 1/18*b**3 - 14*b + 0*b**2 + 0 + 1/20*b**5. Solve q(r) = 0.
-1, -1/3, 0
Suppose 167*y = 291*y - 620. Suppose 0*s**4 + 0*s**2 + 1/3*s**3 - 1/6*s + 0 - 1/6*s**y = 0. Calculate s.
-1, 0, 1
Let w(y) be the third derivative of -y**6/240 + 11*y**5/240 + 19*y**4/48 + 2*y**3/3 - 5*y**2 - 2. Factor w(l).
-(l - 8)*(l + 2)*(2*l + 1)/4
Let y = -57 - -53. Let k be (y/30)/((-12)/80). Let 0 + 0*w + k*w**4 - 2/9*w**2 - 2/3*w**3 = 0. What is w?
-1/4, 0, 1
Let t = -3022 - -45314/15. Let s = t - -206/165. Let -s*w**2 - 50/11 + 20/11*w = 0. Calculate w.
5
Suppose 42 = 14*p - 0. Let b(c) be the third derivative of 0*c + 0*c**p - 7*c**2 + 2/105*c**6 + 0*c**4 + 1/1176*c**8 + 0 - 1/147*c**7 - 2/105*c**5. Factor b(a).
2*a**2*(a - 2)**2*(a - 1)/7
Factor -7/2*l**3 + 108 + 19*l**2 + 102*l - 1/2*l**4.
-(l - 6)*(l + 2)**2*(l + 9)/2
Let s be 25/250 + (-298)/(-20). Solve 33/2*w**3 - 3 - 99/4*w**2 - 15/4*w**4 + s*w = 0 for w.
2/5, 1, 2
Let m(p) = -163*p + 44 + 3 + 158*p. Let y be m(9). Suppose 2*g**2 - 14/3*g**4 + 4/3*g - 2*g**3 + 0 - y*g**5 = 0. Calculate g.
-1, 0, 2/3
Let o(j) be the first derivative of -2*j**3/33 - 5*j**2 - 108*j/11 - 516. Find m, given that o(m) = 0.
-54, -1
Let a(k) = -k**2 + 5*k + 63. Let s be a(9). Let q be 0*(-6)/4*(-18)/s. Factor q + 3/2*g**3 + 0*g**2 + 0*g + 3/2*g**4.
3*g**3*(g + 1)/2
Let k = 38 + -30. Suppose 35 = -k*c + 11. Let j(m) = 5*m**2 - 6*m + 7. Let u(i) = -14*i**2 + 18*i - 20. Let b(t) = c*u(t) - 8*j(t). Factor b(n).
2*(n - 2)*(n - 1)
Let q(h) be the second derivative of 2*h**7/315 - h**6/90 - 2*h**5/45 + 27*h**2/2 - 14*h. Let d(t) be the first derivative of q(t). Find m, given that d(m) = 0.
-1, 0, 2
Let d(g) = 2*g**2 - g - 6. Let q be d(2). Let p(b) be the second derivative of 1/12*b**4 - 2*b + q + 0*b**2 - 1/12*b**3. Determine l, given that p(l) = 0.
0, 1/2
Let s(h) be the first derivative of 2*h**3 + 123*h**2/2 - 63*h + 4. Factor s(i).
3*(i + 21)*(2*i - 1)
Let t be (21/(-6) - -2)*(1 - 3). Let x(g) be the second derivative of 3/2*g**2 + 1/10*g**6 - 1/2*g**4 + 7*g + 0*g**5 + 0*g**t + 0. Factor x(p).
3*(p - 1)**2*(p + 1)**2
Let g(t) = 3*t**2 - t + 14. Let f(u) = -u + 1. Let s(w) = -w**2 + 2*w - 7. Let v(x) = -2*f(x) - s(x). Let a(r) = -3*g(r) + 8*v(r). Determine m so that a(m) = 0.
1, 2
Let r(m) be the third derivative of -m**9/211680 + m**8/35280 - 13*m**5/30 - 5*m**2. Let g(b) be the third derivative of r(b). Solve g(l) = 0 for l.
0, 2
Let f(i) = i**2 - 2*i - 2. Let h(w) = -13*w**2 - 88*w - 30. Let q(n) = 18*f(n) - 2*h(n). Solve q(y) = 0.
-3, -2/11
Let y(h) be the third derivative of h**9/45360 + h**8/30240 - h**7/3780 - h**6/1080 + h**5/15 + 5*h**2. Let r(u) be the third derivative of y(u). Factor r(o).
2*(o - 1)*(o + 1)*(2*o + 1)/3
Let x(i) be the third derivative of i**5/150 + 7*i**4/60 - 5*i**2 + 10. Determine k, given that x(k) = 0.
-7, 0
Let f = -35 + 177/5. Factor 4/5*k**2 - k + f - 1/5*k**3.
-(k - 2)*(k - 1)**2/5
Let k(u) be the third derivative of u**5/120 + 15*u**4/8 + 675*u**3/4 - 7*u**2 - 1. Determine f, given that k(f) = 0.
-45
Let j(h) be the third derivative of -1/36*h**4 + 0 - 1/6*h**3 + 1/180*h**5 + 0*h + 9*h**2. What is g in j(g) = 0?
-1, 3
Factor -2/3*j**4 - 2/3 - 10/3*j**3 + j**5 + 4*j**2 - 1/3*j.
(j - 1)**3*(j + 2)*(3*j + 1)/3
Let u(x) be the second derivative of 4*x + 10/9*x**3 + 1/6*x**4 + 0 - 8/3*x**2. Factor u(r).
2*(r + 4)*(3*r - 2)/3
Let y = -243 - -191. Let r = -48 - y. Find c, given that -1/5*c**r - 1/5*c - 1/5 - 1/5*c**5 + 2/5*c**3 + 2/5*c**2 = 0.
-1, 1
Let u(q) be the first derivative of 3*q**5/5 - 12*q**4 + 55*q**3 - 556. Factor u(t).
3*t**2*(t - 11)*(t - 5)
Let w = -453 - -455. Let g(r) be the first derivative of 2 - 8*r - 5/2*r**4 + 26/3*r**3 - 4*r**w. Factor g(t).
-2*(t - 2)*(t - 1)*(5*t + 2)
Let l = -177 - -182. Let s(m) be the second derivative of 9*m + 0*m**4 - 1/14*m**7 + 0*m**l + 0*m**2 + 0*m**3 + 1/10*m**6 + 0. Factor s(i).
-3*i**4*(i - 1)
Let f(g) be the second derivative of -g**4/3 + 2*g**3/3 + 12*g**2 + 323*g. Suppose f(m) = 0. What is m?
-2, 3
Determine r, given that 0*r + 0 - 1/6*r**2 + 1/6*r**5 - 1/6*r**3 + 1/6*r**4 = 0.
-1, 0, 1
Let x be (34/(-1309))/((-6)/42). Find f such that x*f**2 + 50/11 + 20/11*f = 0.
-5
Let u(b) be the second derivative of b**5/20 - 5*b**4/12 + 2*b**3/3 + 2*b**2 + 4*b. Let o be u(4). Solve -36*m**4 + 13*m**4 + 22*m**o = 0 for m.
0
Let t(o) be the third derivative of o**8/1008 + 2*o**7/105 + 41*o**6/360 + o**5/6 + 514*o**2. Factor t(u).
u**2*(u + 1)*(u + 5)*(u + 6)/3
Let v(o) be the first derivative of -o**6/120 + 3*o**5/20 - 9*o**4/8 + 9*o**3/2 + 4*o**2 - 42. Let h(u) be the second derivative of v(u). Factor h(s).
-(s - 3)**3
Let a = -4 - -5. Let t be (a/(27/(-6)))/(6/(-9)). Factor t*l**2 - 1/6*l**3 + 0 + 0*l.
-l**2*(l - 2)/6
Let j(w) be the second derivative of -1/21*w**3 + 1/84*w**4 + 0*w**2 + 0 - 3*w. Factor j(n).
n*(n - 2)/7
Let w(q) be the first derivative of -2/3*q**3 + 6 - 1/18*q**4 - 5/3*q**2 + 50/9*q. Solve w(x) = 0 for x.
-5, 1
Let x = -276 + 278. Let z(y) be the third derivative of 1/108*y**6 + 2/27*y**3 + 7/108*y**4 + 1/945*y**7 - 4*y**x + 0 + 1/30*y**5 + 0*y. What is c in z(c) = 0?
-2, -1
Let g(k) be the second derivative of 13*k - 1/54*k**4 + 0 - 14/27*k**3 - 49/9*k**2. Factor g(v).
-2*(v + 7)**2/9
Suppose -4*h - 1 + 89 = 0. Factor 6*a**2 - h*a**2 + 4*a**2 + 3*a**3.
3*a**2*(a - 4)
Suppose 0 = -n + 1, -4*n + 13 = t + 2*t. Factor -4*x**4 + 4*x**5 - 5*x**t - 9*x**3 + 4*x**2 + 16*x**3 - 6*x**3.
4*x**2*(x - 1)**2*(x + 1)
Let a(n) be the second derivative of n**7/1470 - n**6/840 - n**5/420 + n**4/168 - 9*n**2/2 + 20*n. Let i(m) be the first derivative of a(m). Factor i(s).
s*(s - 1)**2*(s + 1)/7
Let m(r) be the first derivative of -r**6/40 + r**5/20 + 3*r**3 - 30. Let d(y) be the third derivative of m(y). Factor d(q).
-3*q*(3*q - 2)
Let 69/2*u - 4761/4 - 1/4*u**2 = 0. What is u?
69
Let s(n) be the second derivative of 2*n**7/63 - 2*n**6/15 - 7*n**5/15 + 11*n**4/9 + 4*n**3/3 - 16*n**2/3 + 43*n - 2. Find x such that s(x) = 0.
-2, -1, 1, 4
Let n(z) = z**5 + 2*z**2 + z. Let y(l) = l**5 - 8*l**4 + 6*l**3 - 2*l**2 - l. Let q(c) = n(c) + y(c). Suppose q(h) = 0. Calculate h.
0, 1, 3
Factor -18*j + 405 + 1/5*j**2.
(j - 45)**2/5
Determine n, given that 3/2*n + 1/2 + n**2 = 0.
-1, -1/2
Let q(j) be the second derivative of -j**7/252 + j**6/15 - 13*j**5/30 + 4*j**4/3 - 16*j**3/9 + 3*j + 10. Factor q(o).
-o*(o - 4)**2*(o - 2)**2/6
Let c(q) = -q**3 + 2*q**2 - q + 1. Let n(t) = -27*t**3 + 439*t**2 - 172*t + 2. Let r(s) = 2*c(s) - n(s). Factor r(j).
5*j*(j - 17)*(5*j - 2)
Find p, given that 24/5 + 18/5*p - 3*p**2 = 0.
-4/5, 2
Let s be ((-18)/27)/(6/1467). Let c = -160 - s. Let 3*z**2 - 1/2*z**c - 6*z + 4 = 0. Calculate z.
2
Let i = 1/689 + 669/13780. Let y(j) be the second derivative of 0 - 1/8*j**4 - i*j**5 - 1/120*j**6 - 3*j - 1/6*j**3 - 1/8*j**2. Let y(v) = 0. What is v?
-1
Let v be ((-63)/12 - -5)*-4*(-1)/(-2). Let k = -5 + 8. Suppose f - 2 - 1/4*f**k + v*f**2 = 0. What is f?
-2, 2
Let a(w) = -2*w**2 - 76*w - 591. Let o be a(-27). Suppose -j = 4*j. Solve -1