4. Let m(n) = 0. Calculate n.
-2, 2
Solve -658*l - 23150 - 5*l**2 + 90*l - 11295 - 262*l = 0.
-83
Let p(a) = 2*a**3 - 2*a**2 + 9*a - 20. Let j be (1 + 1)/(2/(-4)). Let d(h) = h**3 - h**2 + 3*h - 7. Let q(g) = j*p(g) + 11*d(g). Factor q(t).
3*(t - 1)**2*(t + 1)
Factor -64 - 8*f - 1/4*f**2.
-(f + 16)**2/4
Let f be (1*-6 + (-374)/(-88))*(-12)/14. Factor 11/2*s**2 - f*s**4 - 1/2*s**3 - 6*s + 1/2*s**5 + 2.
(s - 2)*(s - 1)**3*(s + 2)/2
Suppose -28 - 100*k**2 - 3*k**3 + 258*k + 69*k - 26 - 59*k**2 - 111 = 0. Calculate k.
-55, 1
Let w(u) be the first derivative of 5*u**3/3 - 309*u**2 - 248*u + 63. Determine c, given that w(c) = 0.
-2/5, 124
Suppose 0*j - 4*j - r = -9, 0 = 4*r - 4. Factor 3*w**3 - w**3 - 4*w**5 + j*w**3.
-4*w**3*(w - 1)*(w + 1)
Factor -11*d + 0*d**2 + 9 - 61 - 18*d - 19*d + 4*d**2.
4*(d - 13)*(d + 1)
Let u be 84/(-35)*((-15)/(-6))/(-1). Factor 14*i**4 - 71*i**2 + 75*i**2 - 12*i**3 - u*i**3.
2*i**2*(i - 1)*(7*i - 2)
Suppose -2*m - 13 = 2*m + f, 1 = -4*m - 5*f. Let b be ((-2)/m)/(7/42). Solve b*x**2 - x**2 - 4*x + 0*x = 0.
0, 2
Suppose 61 = 4*a - 19. Let q be 3 + a/(-8)*-2. Factor 7*s + 5*s + q - s**2 - 3*s**2 - 4*s**2.
-4*(s - 2)*(2*s + 1)
Suppose 34*s = 33*s - 1. Let m(k) = k**2 + k. Let t(i) = 2*i. Let n(j) = s*t(j) + 2*m(j). Solve n(y) = 0 for y.
0
Let k be 57/15 + (-2)/(-10). Factor 2*p**2 - 5*p**2 + 11*p**k - 8*p**4.
3*p**2*(p - 1)*(p + 1)
Let r be 42/(-84)*(0 - 4). Let v(z) be the first derivative of 1/2*z**r + 1/3*z**3 + 0*z + 1. Determine q, given that v(q) = 0.
-1, 0
Let w be ((-1)/(-4))/(2/16). Factor 2*r**w - 15*r + 391 - 409 + r**2.
3*(r - 6)*(r + 1)
Find y such that 3/2*y**2 + 1/2*y + 0 + 3/2*y**3 + 1/2*y**4 = 0.
-1, 0
Let z be (-16)/32 - (-2 + 1). Let t(p) be the first derivative of 3 + p**3 + 0*p + z*p**2. Factor t(m).
m*(3*m + 1)
Let d(l) be the third derivative of -31*l**2 + 0 + 1/40*l**5 + 2*l**3 + 0*l - 3/8*l**4. What is c in d(c) = 0?
2, 4
Let a = -11974 + 11974. Suppose -6/7*s**2 + a + 3/7*s + 3/7*s**3 = 0. What is s?
0, 1
Suppose 0*m + 5*m = 0. Suppose 4*a = -2*k + 6 - 0, -a - 2*k = m. Factor -5*h**2 - h**2 - 6*h + 3*h**a.
-3*h*(h + 2)
Factor 9/8*m**3 + 0 + 1/8*m**4 - 21/8*m**2 + 11/8*m.
m*(m - 1)**2*(m + 11)/8
Suppose 13*a = -118 + 239 - 95. Determine f so that 6/17*f**a + 0*f - 2/17*f**4 - 4/17*f**3 + 0 = 0.
-3, 0, 1
Suppose 2*g - 6 = -4*r, -4*r - 2*g - 4 = 2*g. Factor u - 47*u**5 + 48*u**5 + 9*u**3 + 5*u**r + 4*u**2 - u**4 - 3*u**3.
u*(u + 1)**4
Let y(w) be the third derivative of 0*w**3 + 0*w**4 + w**2 + 0 + 5/1344*w**8 + 3/40*w**5 - 1/30*w**7 + 0*w + 11/160*w**6. Let y(a) = 0. Calculate a.
-2/5, 0, 3
Let n(m) be the third derivative of m**7/42 - 5*m**6/24 + m**5/2 + 3*m**2 - 253*m. Factor n(y).
5*y**2*(y - 3)*(y - 2)
Let d(t) be the first derivative of 2*t**5/55 - 3*t**4/11 - 32*t**3/33 - 159. Let d(s) = 0. What is s?
-2, 0, 8
Let u(w) be the first derivative of 11*w**4/24 - 4*w**3/9 - 25*w**2/12 - w - 1112. Factor u(y).
(y - 2)*(y + 1)*(11*y + 3)/6
Find d such that 63 - 4*d**2 + 0*d**2 + 283*d + 149 - 69*d + 6*d**2 = 0.
-106, -1
Suppose 10/17*n**3 + 0 + 6/17*n**2 + 4/17*n**4 + 0*n = 0. What is n?
-3/2, -1, 0
Let p(s) be the first derivative of 2*s**2 + 0*s**3 - 3 + 0*s + 1/12*s**5 - 1/12*s**4. Let u(t) be the second derivative of p(t). Let u(j) = 0. Calculate j.
0, 2/5
Let k(h) be the first derivative of h**4/3 + 16*h**3/9 - 56*h**2/3 + 128*h/3 - 74. Factor k(a).
4*(a - 2)**2*(a + 8)/3
Let p(t) be the second derivative of 2*t**7/21 + 2*t**6 + 39*t**5/5 + 37*t**4/3 + 8*t**3 + 575*t. Find d, given that p(d) = 0.
-12, -1, 0
Let y = 25 - 40. Let w(x) = 3*x**2 + 2*x. Let o(r) = -21*r**2 - 15*r. Let p(v) = y*w(v) - 2*o(v). Suppose p(l) = 0. What is l?
0
Let y(f) be the third derivative of 6*f**2 + 0*f**3 + 0*f - 2/105*f**7 - 1/6*f**4 + 1/30*f**6 + 0 + 1/15*f**5. Let y(r) = 0. What is r?
-1, 0, 1
Let g = 2/293 + 576/1465. Solve 32/5 + g*q**3 + 48/5*q + 18/5*q**2 = 0.
-4, -1
Let r(j) be the third derivative of -j**6/40 - 9*j**5/20 - j**4/4 + 24*j**3 - 431*j**2. Factor r(y).
-3*(y - 2)*(y + 3)*(y + 8)
Suppose 2*g = 4*s - g, 2*s + 2 = 2*g. Suppose -y + s = -0*y. Factor 6*o**3 - y*o**4 + 1 - 3*o**2 + 2 - 3.
-3*o**2*(o - 1)**2
Let 2/13*w**2 - 18/13*w + 0 = 0. What is w?
0, 9
Let c(w) = -w**3 - 10*w**2 + 131. Let o be c(-8). Factor 0*n + 3/7*n**2 + 0 - 3/7*n**o.
-3*n**2*(n - 1)/7
Factor -2/5*s**5 + 32/5*s**2 - 36/5*s**3 + 0 + 16/5*s**4 - 2*s.
-2*s*(s - 5)*(s - 1)**3/5
Factor 42*i**2 + 3*i + 1632 - 3*i**3 + 0*i**3 - 1674.
-3*(i - 14)*(i - 1)*(i + 1)
Suppose 10*v + 16 = 14*v. Suppose 5*r = -v*o + 22, 0 = -3*r - 5*o + 6*o + 3. Find i such that -4/9 - 10/3*i**r + 22/9*i = 0.
1/3, 2/5
Let g(h) be the first derivative of 3*h**6/2 - 3*h**5/5 - 23*h**4/4 - 13*h**3/3 - h**2 - 221. Factor g(x).
x*(x - 2)*(x + 1)*(3*x + 1)**2
Let b(m) be the second derivative of -1/6*m**6 + 0*m**2 + 0*m**3 + 5/6*m**4 + 0 + 1/4*m**5 - 26*m. Suppose b(s) = 0. What is s?
-1, 0, 2
Let m(r) = -r**3 - r**2 + r - 2. Let a be (4/10)/(((-18)/(-3))/(-30)). Let i be m(a). Factor -2/17*c**3 + 2/17*c**2 + 0 + i*c.
-2*c**2*(c - 1)/17
Let k = 12 - 37. Let w = 128/5 + k. Let 0*j - 6/5*j**3 + 3/5*j**2 + w*j**4 + 0 = 0. Calculate j.
0, 1
Let l(c) = -14*c**5 - 2*c**4 + 14*c**3 - 10*c**2 - 12*c - 12. Let r(w) = w**5 - w**3 + w**2 + w + 1. Let y(b) = l(b) + 12*r(b). Find o, given that y(o) = 0.
-1, 0, 1
Suppose 124*p - 120*p - 12 = 0. Let q(n) be the first derivative of -3/2*n**4 + 3/5*n**5 + 0*n - n**3 + 3 + p*n**2. Factor q(u).
3*u*(u - 2)*(u - 1)*(u + 1)
Let z(r) = -5*r**2 + 25*r - 33. Let c(l) = -1. Let w(i) = -2. Let k(h) = 9*c(h) - 4*w(h). Let g(d) = -3*k(d) + z(d). Factor g(p).
-5*(p - 3)*(p - 2)
Let p(s) be the first derivative of 3*s**4/14 - 26*s**3/21 - 11*s**2/7 + 10*s/7 - 44. Factor p(w).
2*(w - 5)*(w + 1)*(3*w - 1)/7
Let o be 4 - (-10 - (1 - -3)). Let -7*r**4 + 3*r + o*r**3 + 24*r**5 - 5*r**4 - 21*r**5 - 12*r**2 = 0. What is r?
0, 1
Let v be 1*(-48)/(-8) - 1. Let j(n) be the third derivative of 2/15*n**v + 0 + 5*n**2 + 2/3*n**3 + 5/12*n**4 + 1/60*n**6 + 0*n. Factor j(l).
2*(l + 1)**2*(l + 2)
Let v(q) be the first derivative of q**3 + 24/7*q + 15 - 3*q**2 - 3/28*q**4. What is u in v(u) = 0?
1, 2, 4
Let d(j) = -5720*j**2 + 2735*j - 290. Let o(p) = -1429*p**2 + 684*p - 72. Let m(u) = 4*d(u) - 15*o(u). Find r such that m(r) = 0.
4/17
Suppose 180 - 198 = -6*i. Let h(f) be the first derivative of -2/5*f - 2/25*f**5 - 1/5*f**2 - 1/15*f**6 + 4/15*f**i + 4 + 1/5*f**4. Factor h(b).
-2*(b - 1)**2*(b + 1)**3/5
Factor -2/11*v**2 + 48/11*v - 190/11.
-2*(v - 19)*(v - 5)/11
Let s(z) be the third derivative of z**8/4032 + z**7/168 + z**6/18 - 13*z**5/30 - 3*z**2. Let j(b) be the third derivative of s(b). Factor j(k).
5*(k + 2)*(k + 4)
Let -18/5*u - 4/5*u**2 - 8/5 = 0. What is u?
-4, -1/2
Let u be 17 + (-2067)/130 + (-4)/(-10). Let 3/4*r**3 - 3/4*r**5 - 3/2*r**4 + 0 + u*r**2 + 0*r = 0. What is r?
-2, -1, 0, 1
Suppose -93 + 2 = 7*c. Let w(x) = -x**5 + 2*x**4 + 7*x**3 + 4*x**2. Let a(t) = 2*t**5 - 4*t**4 - 15*t**3 - 9*t**2. Let i(u) = c*w(u) - 6*a(u). Solve i(v) = 0.
-1, 0, 1, 2
Let o = 811/345 + -2/115. Let p = o + -5/3. Let -2/3*s**2 + 0*s + p = 0. What is s?
-1, 1
Let m(l) be the third derivative of -l**7/42 - 55*l**6/6 - 2701*l**5/2 - 506255*l**4/6 - 1945085*l**3/6 + l**2 - 5*l. Suppose m(b) = 0. What is b?
-73, -1
Let q(s) be the third derivative of s**7/105 - 23*s**6/180 + 13*s**5/45 + 7*s**4/9 - 8*s**3/3 + 51*s**2 - 1. Suppose q(n) = 0. What is n?
-1, 2/3, 2, 6
Let f(v) be the third derivative of v**6/40 - v**5/30 - 37*v**4/24 - 2*v**3 + 198*v**2 + 2*v. Let f(j) = 0. Calculate j.
-3, -1/3, 4
Let j be 18*(376/(-42) - -9). Let u be 1 + (15/(-7))/3. Suppose 0 + 2/7*r + j*r**3 - u*r**4 - 6/7*r**2 = 0. Calculate r.
0, 1
Let l be (2*(-1)/28)/(10 + 1991/(-198)). Factor 0 - l*b**2 + 3/7*b**4 + 0*b + 6/7*b**3.
3*b**2*(b - 1)*(b + 3)/7
Let g(s) be the third derivative of s**5/570 + s**4/76 - 4*s**3/57 + 691*s**2. Factor g(l).
2*(l - 1)*(l + 4)/19
Suppose 0 + 4/9*d + 2/3*d**2 - 10/9*d**3 = 0. Calculate d.
-2/5, 0, 1
Suppose -6*d**2 + 2*d - 27/2*d**3 + 9/2*d**5 - d**4 + 0 = 0. What is d?
-1, 0, 2/9, 2
Let p(i) be the third derivative of -1/3*i**4 + 2/15*i**7 - 1/5*i**5 + 2/5*i**6 + 0 + 0*i**3 - 1/14*i**8 + 0*i + i**2. Solve p(s) = 0 for s.
-1, -1/3, 0, 1/2, 2
Suppose 468 = s +