(m) be the second derivative of 0*m**6 + 1/28*m**7 + 0 + 0*m**2 + 0*m**4 + m - 3/40*m**5 + 0*m**3. Factor k(w).
3*w**3*(w - 1)*(w + 1)/2
Let t = 185 - 180. Suppose -30 = -t*j - 10. Let 0*o**3 + 1/4*o**j + 0 - 1/4*o**2 + 0*o = 0. What is o?
-1, 0, 1
Determine b, given that 3920 + 1/5*b**2 - 56*b = 0.
140
Let m(w) be the second derivative of w**5/10 + 7*w**4/3 - 49*w**3/3 + 34*w**2 - 3*w + 112. What is q in m(q) = 0?
-17, 1, 2
Let s(o) be the third derivative of -o**6/216 - 7*o**5/72 + 5*o**3/6 - 11*o**2. Let t(a) be the first derivative of s(a). Factor t(z).
-5*z*(z + 7)/3
Suppose 4*p + 4*q = -19 - 21, -p = -2*q - 5. Let h be -1 + ((-8)/4 - p). Determine g so that 2 + 8 + 2 - 5*g**h + 2*g**2 = 0.
-2, 2
Let 58/13*n**4 + 258/13*n**2 + 360/13*n - 216/13 - 4/13*n**5 - 256/13*n**3 = 0. What is n?
-1, 1/2, 3, 6
Let g(k) be the third derivative of -k**7/70 + k**6/20 + 11*k**5/20 - 3*k**4/2 + 25*k**2. Let g(y) = 0. What is y?
-3, 0, 1, 4
Let i = -12659 - -12662. Factor 15/7*q - 3/7*q**i - 3/7*q**2 - 9/7.
-3*(q - 1)**2*(q + 3)/7
Suppose -u + 4*t + 3 = 0, u + t = -3*t - 21. Let x = 11 + u. Factor -x*v**2 + 3*v**3 + 2*v**2 - 3*v + 0*v**3.
3*v*(v - 1)*(v + 1)
Let z(v) = 2*v**2 - 15*v + 11. Let k be z(7). Suppose g - d + k = 0, 4 = -g + 4*g + d. Factor g - 2/3*h**2 + 0*h.
-2*h**2/3
Suppose 5*c + 4*b = -48, 5*c = 3*b + 2*b - 30. Let o(h) = -7*h - 54. Let s be o(c). Factor -1/2*f**s - f - 1/2.
-(f + 1)**2/2
Let -2/19*p**4 + 2/19*p**3 + 0 + 0*p**2 + 0*p = 0. What is p?
0, 1
Let p = -321/11 + 4837/165. Suppose 4/15 + 8/15*b**2 + p*b**3 + 2/3*b = 0. What is b?
-2, -1
Factor -4/7*v + 2/7*v**4 - 8/7*v**3 + 10/7*v**2 + 0.
2*v*(v - 2)*(v - 1)**2/7
Let c = 98932/86541 - 4/12363. Factor 0 + 2/7*h**2 - c*h.
2*h*(h - 4)/7
Let u(b) be the third derivative of 7/30*b**5 - 1/60*b**6 + 0*b + 18*b**2 - 4/3*b**4 + 4*b**3 + 0. Factor u(y).
-2*(y - 3)*(y - 2)**2
Let q(y) be the second derivative of y**5/110 + 4*y**4/11 - y**3/33 - 24*y**2/11 + 618*y. Solve q(z) = 0.
-24, -1, 1
Let u(c) be the first derivative of c**5/5 - 17*c**4/4 + 15*c**3 - 43*c**2/2 + 14*c - 222. Determine t so that u(t) = 0.
1, 14
Let j be ((-1)/(-6)*4)/(180/2430). Let d(t) be the third derivative of -3/4*t**3 - 1/4*t**4 - j*t**2 + 0*t + 0 - 1/40*t**5. Determine s, given that d(s) = 0.
-3, -1
Let 72/19 + 40/19*a + 2/19*a**2 = 0. Calculate a.
-18, -2
Let w be (-33)/(-220)*(8/2)/96. Let o(c) be the third derivative of 0 + 5*c**2 + 0*c - 5/32*c**4 + 1/4*c**3 - w*c**6 + 1/20*c**5. Factor o(k).
-3*(k - 2)*(k - 1)**2/4
Let s be (7/(28/40))/(4/6). Factor -19*p**2 - 14*p**2 - 20*p + 38*p**2 + s.
5*(p - 3)*(p - 1)
Let u(j) be the third derivative of j**6/120 + j**5/12 + j**4/3 + 2*j**3/3 - 23*j**2. What is y in u(y) = 0?
-2, -1
Let d(s) be the first derivative of 5*s**6/6 + 7*s**5 + 20*s**4 + 20*s**3 + 29. What is z in d(z) = 0?
-3, -2, 0
Factor -66*o + 21/2*o**3 - 18 - 15/2*o**2.
3*(o - 3)*(o + 2)*(7*o + 2)/2
Let d(f) = -18*f**3 - 552*f**2 - 30276*f - 585321. Let h(n) = n**3 + 2*n**2 - 1. Let g(a) = -d(a) - 15*h(a). Let g(t) = 0. Calculate t.
-58
Suppose -21*o = -18*o + 15. Let g be o/50 - (-98)/180. What is s in 2/9*s**5 - 4/9*s**3 + g*s**2 + 2/9*s - 2/9 - 2/9*s**4 = 0?
-1, 1
Factor 133*t**2 - 10*t**3 + 100 - 149*t - 111*t + 7*t**2 - 15*t**2.
-5*(t - 10)*(t - 2)*(2*t - 1)
Suppose 3*c - 3 = -3*p, 9*c - 9 = 4*c - 3*p. Find o, given that -26*o + 11930 + 253*o + 12635 + 255*o**2 + 5*o**c + 4108*o = 0.
-17
Let k(n) = n**3. Let r(d) = 14*d**3 - 16*d**2 - 62*d - 44. Let t(z) = 12*k(z) - r(z). Find m such that t(m) = 0.
-2, -1, 11
Let -60*x - 72*x**4 - 36 + 4*x**3 + 2*x**3 - 66*x**4 - 21*x**2 + 141*x**4 = 0. What is x?
-2, -1, 3
Factor 1/3*o - 1/3*o**2 + 2/3.
-(o - 2)*(o + 1)/3
Let g(a) = -4*a**3 - 3*a**2 + 34*a - 24. Let r(l) = 9*l**3 + 5*l**2 - 67*l + 46. Let q(o) = 7*g(o) + 3*r(o). Factor q(u).
-(u - 3)*(u - 1)*(u + 10)
Let t(r) be the first derivative of -15*r**4/4 + 18*r**3 + 99*r**2/2 + 30*r - 132. Factor t(f).
-3*(f - 5)*(f + 1)*(5*f + 2)
Let g(y) be the first derivative of -y**3/3 - 49*y**2/8 + 53*y/4 - 438. Find b such that g(b) = 0.
-53/4, 1
Let n(s) be the second derivative of -2*s**5/5 - 67*s**4/3 + 214*s**3/3 + 140*s**2 + 14*s - 6. Factor n(t).
-4*(t - 2)*(t + 35)*(2*t + 1)
Let j(w) be the third derivative of w**8/4032 + w**7/336 + w**6/72 - w**5/6 + 8*w**2. Let i(u) be the third derivative of j(u). Let i(p) = 0. What is p?
-2, -1
Let j(s) be the second derivative of -2*s**6/15 - s**5/5 + 5*s**4/3 - 2*s**3 + s + 33. Factor j(a).
-4*a*(a - 1)**2*(a + 3)
Let h(p) = -2*p**3 + 12*p**2 - 4*p - 6. Let y(t) = -4*t**3 + 23*t**2 - 7*t - 12. Let o(i) = -11*h(i) + 6*y(i). Suppose o(j) = 0. Calculate j.
-1, 1, 3
Suppose -11/4 - 5/2*w + 1/4*w**2 = 0. Calculate w.
-1, 11
Let p(d) = -d + 1. Let m be p(0). Suppose 0*r + 6*r - m + 4 + 16*r**3 - 21*r**2 - 4*r**3 = 0. Calculate r.
-1/4, 1
Let p(q) be the third derivative of -q**7/42 - 7*q**6/24 - q**5/2 + 2*q**2 + 28. Factor p(r).
-5*r**2*(r + 1)*(r + 6)
Let q(v) be the third derivative of -v**8/16800 + v**6/1800 + 29*v**4/24 + 24*v**2. Let s(t) be the second derivative of q(t). Let s(p) = 0. What is p?
-1, 0, 1
Let w be (-2)/(-3) - (-10)/(-60). Let s(o) be the first derivative of -1/6*o**3 + 0*o - 2 + w*o**2. Factor s(x).
-x*(x - 2)/2
Factor 1/5*c**2 - 134/5*c + 133/5.
(c - 133)*(c - 1)/5
Suppose -32 = -2*v + 44. Let j be v/8 - 2/(-8). Factor -16*l - 16 - 4*l**2 + 5*l**2 - j*l**2.
-4*(l + 2)**2
Let t = 2739 + -2729. Find z, given that -10*z - t - 5/2*z**2 = 0.
-2
Let d(h) be the first derivative of 0*h**3 + 4/55*h**5 + 0*h**2 - 1/3*h**6 + 0*h + 0*h**4 + 11. Factor d(f).
-2*f**4*(11*f - 2)/11
Let b = -408 - -413. Let k(s) be the first derivative of -s**3 - 3/2*s**4 - 3/5*s**b + 0*s + 0*s**2 - 2. Solve k(g) = 0 for g.
-1, 0
Let w(f) be the second derivative of f**4/48 - 35*f**3/12 + 69*f**2/8 + 270*f. Find g, given that w(g) = 0.
1, 69
Let w be 2/3*(-3)/(36/3030). Let u = 169 + w. Factor t - u*t**3 + 2/3 - t**2.
-(t - 1)*(t + 2)*(2*t + 1)/3
Let i be ((-11968)/1728 + 4/(-54))*(-14)/49. Solve -15/2 - 10*b - 5/2*b**i = 0 for b.
-3, -1
Let j(w) be the second derivative of w**5/6 + 5*w**4/72 - 5*w**3/9 - 5*w**2/12 + 108*w. Determine z, given that j(z) = 0.
-1, -1/4, 1
Let q = -1642 + 1647. Let j(g) be the second derivative of 0*g**3 - 1/24*g**4 + 0 - 3*g - 1/80*g**q + 0*g**2. Factor j(a).
-a**2*(a + 2)/4
Suppose 5 + 7 = 4*f. Let u = -4 - -8. Suppose 2*j**4 + j**4 + 7*j - 12*j**f + 9*j + j**u = 0. Calculate j.
-1, 0, 2
Let y = 388 + -383. Let q(x) be the first derivative of -4/3*x**3 - x**4 + 3 - 1/5*x**y + 0*x + 0*x**2. Factor q(j).
-j**2*(j + 2)**2
Let r be (-4)/10*(-2)/((-40)/(-10)). Factor -2/5*l + 0 - r*l**2 + 1/5*l**3.
l*(l - 2)*(l + 1)/5
Find m such that 12/5 - 2*m**4 - 10*m**2 - 2/5*m - 46/5*m**3 = 0.
-3, -1, 2/5
Let f(p) be the second derivative of -1/4*p**4 - 1/5*p**6 + 3/8*p**5 + 22*p + 1/28*p**7 + 0*p**2 + 0 + 0*p**3. Suppose f(h) = 0. Calculate h.
0, 1, 2
Let z(h) be the third derivative of -1/36*h**3 + 1/1440*h**6 + 0*h - 3*h**2 - 1/2520*h**7 + 0 - 1/288*h**4 + 1/240*h**5. Factor z(u).
-(u - 2)*(u - 1)*(u + 1)**2/12
Let s be (5 + 119/(-24))*(3 - 2). Let y(c) be the third derivative of -4*c**2 + 0*c - s*c**3 - 1/240*c**5 - 1/48*c**4 + 0. What is n in y(n) = 0?
-1
Suppose -12*l = -13*l + 2. Determine p so that 3*p - p**2 + 3*p**l + p + 3 - 1 = 0.
-1
Let a = 49 + -45. Factor a*y**3 + 10*y**2 - y + 4*y - 25*y + 59 - 51.
2*(y - 1)*(y + 4)*(2*y - 1)
Factor 93*o**2 - 843 - 32*o**3 - 285*o**2 - 2*o**4 - 512*o + 331.
-2*(o + 4)**4
Let y(t) be the first derivative of -4*t**5/5 - 7*t**4 - 68*t**3/3 - 34*t**2 - 24*t + 80. Solve y(v) = 0 for v.
-3, -2, -1
Let p = 238 - 233. Let u(h) be the first derivative of -8*h**3 - 3*h**4 - 4 - 2/5*h**p - 8*h**2 + 0*h. Factor u(z).
-2*z*(z + 2)**3
Let w(y) be the third derivative of 0*y**3 + 1/480*y**6 + 0 + 1/96*y**4 + 5*y**2 + 1/120*y**5 + 0*y. Factor w(z).
z*(z + 1)**2/4
Let a(k) = -k**3 - k**2 + 2. Let h(m) = 12*m**3 + 17*m**2 + 5*m + 6. Let q(z) = 3*a(z) - h(z). Let q(y) = 0. What is y?
-1, -1/3, 0
Let d(x) = -6*x**3 + 13*x**3 - 8*x**3. Let q(f) = -f**3 + 3*f**2 + 3*f - 3. Let v(y) = 2*d(y) + q(y). What is i in v(i) = 0?
-1, 1
Let y(z) be the third derivative of -z**5/10 - 41*z**4/12 + 14*z**3/3 - 2*z**2 + 55*z. Factor y(w).
-2*(w + 14)*