2179 + 4016/6537. Solve -u**3 + 1/3*u**4 + 1/3*u**2 - v + u = 0.
-1, 1, 2
Suppose 69*w - 261 = -18*w. Let q(z) be the second derivative of -34*z + 0 + z**w - 2*z**2 + 1/3*z**4. Factor q(t).
2*(t + 2)*(2*t - 1)
Let s be ((-40)/(-90))/((672/8064)/(((-6)/(-16))/1)). Factor -q + 5/3*q**s + 0.
q*(5*q - 3)/3
Let w(m) be the first derivative of m**4/6 + m**3 - 4*m**2 - 59*m + 130. Let u(t) be the first derivative of w(t). Let u(o) = 0. What is o?
-4, 1
Let d(j) = -j**3 - 2*j**2 + j + 14. Let c(i) = 6. Let y(v) = -6*c(v) + 3*d(v). Suppose y(m) = 0. Calculate m.
-2, -1, 1
Let u(d) = 2*d**2 - 413*d - 33621. Let h be u(269). Factor -10*v**3 - 5324/7 - 858/7*v**2 - 4114/7*v - 2/7*v**h.
-2*(v + 2)*(v + 11)**3/7
Let a(z) = 59*z**3 + 6*z**2 + 23*z + 11. Let v(c) = -16*c**3 - 2*c**2 - 6*c - 3. Let d(g) = -3*a(g) - 11*v(g). Factor d(s).
-s*(s - 3)*(s - 1)
Factor 9/2*o - 1/2*o**2 + 45.
-(o - 15)*(o + 6)/2
Let v(d) be the second derivative of 0*d**2 + 1/48*d**4 + 0 - 79*d - 11/24*d**3. Suppose v(w) = 0. What is w?
0, 11
Let i(q) be the first derivative of 7*q**4/30 - 118*q**3/45 - 13*q**2/5 + 18*q/5 - 1940. Factor i(u).
2*(u - 9)*(u + 1)*(7*u - 3)/15
Determine l so that 1083/5*l**3 + 24/5 + 4356/5*l + 4338/5*l**2 = 0.
-2, -2/361
Let x(j) be the first derivative of -9*j**2 + 29 - 1/80*j**5 + j + 3/4*j**3 - 5/32*j**4. Let y(l) be the second derivative of x(l). Suppose y(s) = 0. What is s?
-6, 1
Let m(i) be the third derivative of -i**7/42 - i**6/4 + 7*i**5/12 + 10*i**4 + 30*i**3 - 48*i**2 + 11*i. Determine u, given that m(u) = 0.
-6, -2, -1, 3
Let d(c) = 7*c**3 + 4*c**2 + 7*c + 5. Let x be d(-2). Let l be (-938)/882 - 63/x. Solve -2/9*k**2 - 32/9*k - 40/9 + l*k**3 = 0.
-2, 5
Let k(r) be the third derivative of r**6/30 - 73*r**5/15 - 193*r**4/3 - 208*r**3 - 591*r**2. Solve k(x) = 0 for x.
-4, -1, 78
Let o = -51 + 51. Suppose o = -10*z + 12*z - 20. Solve -5*v**5 - 5*v**4 + 0*v**4 + 175 - z*v + 15*v**3 + 5*v**2 - 175 = 0.
-2, -1, 0, 1
Let h(v) be the second derivative of -v**6/90 - 9*v**5/10 - 673*v**4/36 + 84*v**3 - 392*v**2/3 + 20*v + 12. Factor h(s).
-(s - 1)**2*(s + 28)**2/3
Let z(w) be the third derivative of w**5/360 - 41*w**4/72 + 40*w**3/9 + 4492*w**2. Factor z(k).
(k - 80)*(k - 2)/6
Factor -2/5*y**2 + 812/5 + 402/5*y.
-2*(y - 203)*(y + 2)/5
Let o be 11 + -9 - 3 - -7. Let b(z) be the third derivative of 1/5*z**3 + 0 + 0*z - 6*z**2 - 1/50*z**5 - 1/300*z**o + 1/60*z**4. Factor b(s).
-2*(s - 1)*(s + 1)*(s + 3)/5
Let a be 1700/4725 + (-36)/486. Suppose -2/7*x**2 + a*x + 4/7 = 0. Calculate x.
-1, 2
Let b(d) be the second derivative of 0*d**3 + 1/15*d**6 + 0*d**2 - 12*d - 1/6*d**4 - 1/21*d**7 - 4 + 1/10*d**5. Factor b(i).
-2*i**2*(i - 1)**2*(i + 1)
Let u(l) be the second derivative of -23/7*l**3 - 1/70*l**6 - 3*l - 12/7*l**4 + 0 - 27/70*l**5 - 45/14*l**2. Factor u(t).
-3*(t + 1)**3*(t + 15)/7
Let u = 1951 + -19509/10. Let m(i) be the first derivative of -i**3 + 3 - 9/20*i**4 + 0*i - 3/5*i**2 + u*i**6 + 3/25*i**5. Determine n so that m(n) = 0.
-1, 0, 2
Find g such that -29503*g + 8*g**4 + 280*g**2 - 2*g**5 - 160*g**3 + 29659*g + 6*g**5 - 288 = 0.
-8, -1, 1, 3
Factor -335*r**2 + 112896 - 1/2*r**3 - 55776*r.
-(r - 2)*(r + 336)**2/2
Determine c so that -51*c**2 - 302*c - 283*c - 3*c**4 + 534*c - 18 - 21*c**3 = 0.
-3, -2, -1
Let u(q) be the second derivative of 5*q**7/42 + 21*q**6 + 481*q**5/2 + 2675*q**4/3 + 3155*q**3/2 + 1475*q**2 + 170*q. Suppose u(d) = 0. What is d?
-118, -5, -1
Let i(q) be the third derivative of -q**6/24 - 67*q**5 - 2675*q**4/8 - 2005*q**3/3 - 463*q**2. Factor i(z).
-5*(z + 1)**2*(z + 802)
Let k(c) = -4*c**3 + 24*c**2 - 60*c + 54. Let p(f) = -5*f**3 + 25*f**2 - 58*f + 53. Let n(w) = 3*k(w) - 2*p(w). Factor n(a).
-2*(a - 7)*(a - 2)**2
Let c(q) = -q**2 + 8*q - 3. Let h(f) = 4*f**2 - 42*f + 14. Suppose 0 = 5*w - 2*n - 70, 2*w - 8*n = -3*n + 28. Let u(a) = w*c(a) + 3*h(a). Solve u(g) = 0.
-7, 0
Factor 129032/15 + 2/15*g**2 - 1016/15*g.
2*(g - 254)**2/15
Let d(x) be the first derivative of 12*x**5/25 + 51*x**4/20 - 37*x**3/5 - 102*x**2/5 + 252*x/5 + 6925. Suppose d(s) = 0. What is s?
-21/4, -2, 1, 2
Let l be 6/2 + 7/((-7)/(-2)). Suppose -l*a = -8 - 2. Let -7*g**a - 2*g - 3*g + 9*g**2 - 7*g**2 = 0. What is g?
-1, 0
Let a(u) be the first derivative of 3*u**5/20 - u**4 + u**3/2 + 9*u**2 - 73*u - 19. Let s(j) be the first derivative of a(j). Factor s(c).
3*(c - 3)*(c - 2)*(c + 1)
Suppose 0 = -31*f + 34*f - 5*v + 29, -5*f - 3*v + 31 = 0. Let -13/5*l + 169/10 + 1/10*l**f = 0. What is l?
13
Solve -344524*p + 345424*p - 70*p**4 + 200*p**2 - 115*p**3 + 5*p**5 + 340*p**2 = 0 for p.
-2, 0, 3, 15
Let g(j) be the second derivative of j**5/180 + 7*j**4/36 + 13*j**3/18 - 101*j**2/2 + 45*j - 1. Let h(p) be the first derivative of g(p). Solve h(t) = 0 for t.
-13, -1
Factor -i**3 + 411*i**2 + 870*i**2 + 4*i**3.
3*i**2*(i + 427)
Let p(w) = 42*w**2 + 16*w - 8. Let y(g) = -21*g**2 - 8*g + 4. Suppose -12*q + 63 = -9. Let f(u) = q*p(u) + 14*y(u). Factor f(x).
-2*(3*x + 2)*(7*x - 2)
Suppose -5*k - 29*k = -77418. Let v be 23/(k/(-162)) + -1 + 3. Let v*h + 2/11*h**2 + 0 - 2/11*h**3 = 0. Calculate h.
-1, 0, 2
Suppose -2*k = -5*s - 41, -1220*s + 13 = -5*k - 1224*s. Let c be -2 - (-1)/(-4)*-9. Let -5/2*v**k - 5/4*v**4 - 1/4 - 5/4*v - c*v**5 - 5/2*v**2 = 0. What is v?
-1
Let f(n) = -8*n**2 + 7*n + 4. Let s(o) = 5*o**2 - 6*o - 4. Let d(w) = 2*f(w) + 3*s(w). Let d(v) = 0. Calculate v.
-2
Let a be (-6)/(-45) + 51280/150. Let x = -342 + a. Factor 12/7*t - 12/7*t**3 + 6/7*t**2 + x - 6/7*t**4.
-6*t*(t - 1)*(t + 1)*(t + 2)/7
Factor 215/2*t + 1/4*t**2 + 214.
(t + 2)*(t + 428)/4
Let h = 1958 - 1954. Let p(o) be the second derivative of -17/54*o**3 - 2/9*o**2 + 0 + 27*o - 1/27*o**h. Factor p(r).
-(r + 4)*(4*r + 1)/9
Let p = 857 + -855. Let r(f) be the first derivative of -1/2*f**3 + 11 + 9/2*f**p - 15/2*f. Factor r(j).
-3*(j - 5)*(j - 1)/2
Factor 6/7*v - 1/7*v**4 + 6/7*v**3 - 11/7*v**2 + 0.
-v*(v - 3)*(v - 2)*(v - 1)/7
Let j be (-9)/(-66825)*-322*(-21)/4. Let x = j + -3/550. Factor x*a - 2/9*a**2 + 4/3.
-2*(a - 3)*(a + 2)/9
Factor a**3 + 11/7*a**2 + 5/7*a + 0 + 1/7*a**4.
a*(a + 1)**2*(a + 5)/7
Suppose 21/2*b**2 - 1/2*b**4 + 1/2*b**3 - 41/2*b + 10 = 0. Calculate b.
-5, 1, 4
Let b(z) be the first derivative of 22 + 4/9*z**3 + 0*z**2 - 1/6*z**4 + 0*z - 2/15*z**5. Determine r so that b(r) = 0.
-2, 0, 1
Let m = 263 + -261. Suppose 6 + 20 = 3*v + 2*h, 4*h = -m*v + 28. Factor -32/3*g**3 - 2/3 - 16*g**2 - v*g.
-2*(g + 1)*(4*g + 1)**2/3
Let n(m) be the third derivative of m**7/42 + m**6/8 - 43*m**5/4 - 1315*m**4/24 - 110*m**3 - 9228*m**2. Factor n(y).
5*(y - 11)*(y + 1)**2*(y + 12)
Factor 1/6*q**2 - 2449/3*q + 5997601/6.
(q - 2449)**2/6
Let a = -8/96135 - -96151/192270. Factor -a*j**3 + 0 + 1/4*j**4 + 0*j + 1/4*j**2.
j**2*(j - 1)**2/4
Let g = 33 - 3. Suppose -16*c - g = -17*c. Let -4*u**4 + 56*u**2 - c*u**2 - 22*u**2 = 0. Calculate u.
-1, 0, 1
Let l(h) be the first derivative of h**3/3 + 35*h**2/2 - 114*h - 571. Solve l(v) = 0.
-38, 3
Let y(u) be the first derivative of u**3/3 - u**2/2 + 2*u + 7. Let h be y(-2). Find q such that -h*q**3 - 2*q**2 - 12*q**3 + q**2 + 19*q**3 = 0.
-1, 0
Let h be -6*(-6 + (-6994)/(-1170)). Factor h*m**2 + 4/5*m - 32/15.
2*(m - 2)*(m + 8)/15
Let o(d) = -11*d**3 - 134*d**2 - 18*d - 12. Let j(v) = -22*v**3 - 268*v**2 - 35*v - 26. Let r(p) = -6*j(p) + 13*o(p). What is a in r(a) = 0?
-12, -2/11, 0
Suppose -4/5*d**2 - 1656/5*d + 0 = 0. Calculate d.
-414, 0
Factor 96 + 96*l - 2/3*l**2 - 2/3*l**3.
-2*(l - 12)*(l + 1)*(l + 12)/3
Let u(q) = -83*q**2 + 88*q - 23. Let b(v) = -v**2 - v + 1. Let j(c) = -6*b(c) + 3*u(c). Determine a, given that j(a) = 0.
5/9
Let s(m) be the third derivative of -m**8/9120 - m**7/2394 + m**6/855 - m**4/24 - 29*m**3/2 - 105*m**2. Let l(a) be the second derivative of s(a). Factor l(g).
-2*g*(g + 2)*(7*g - 4)/19
Let y(d) be the first derivative of -d**6/9 - 23*d**5/5 + 259*d**4/12 - 88*d**3/3 + 38*d**2/3 - 1399. Find k, given that y(k) = 0.
-38, 0, 1/2, 1, 2
Let v(t) be the third derivative of -t**6/24 - 21*t**5/4 - 925*t**4/8 + 75295*t**3/6 + 342*t**2. Factor v(d).
-5*(d - 11)*(d + 37)**2
Let p(x) be the first derivative of 0*x**3 + 37/2*x**2 - 1/30*x**5 - 27 + 1/120*x**6 + 1/24*x**4 + 0*x. Let v(d) be the second derivative of p(d). Factor v(f).
f*(f -