+ 2.
(z - 2)*(z - 1)**2*(4*z - 1)
Let p(m) be the third derivative of -m**8/588 + 12*m**7/49 - 59*m**6/70 + 88*m**5/105 + 11*m**2 - 22. What is a in p(a) = 0?
0, 1, 88
Let r(n) be the second derivative of -n**5/130 + n**4/6 - 23*n**3/39 + 11*n**2/13 + 2*n - 18. Factor r(m).
-2*(m - 11)*(m - 1)**2/13
Let p be 0*(21/9)/(-7). Factor 2*o**3 - 9*o**2 + 10*o**2 + o**4 + p*o**3.
o**2*(o + 1)**2
Let n(m) = -m**3 + 18*m**2 + 19*m + 4. Let g be n(19). Suppose -4*r = 2*d, -3*r = -6*r - 3. Factor 0 + 0*h + 2 + 2*h**d - g*h.
2*(h - 1)**2
Let h be (-1 + 4)*6*(-27)/12. Let p = -39 - h. Factor 3/2*b + 0*b**2 + 0 - p*b**3.
-3*b*(b - 1)*(b + 1)/2
Let f(r) = -r**5 + 2*r**4 - 1. Let v(k) = -29*k**5 + 103*k**4 - 138*k**3 + 90*k**2 - 27*k + 1. Let l(p) = -2*f(p) + v(p). Factor l(d).
-3*(d - 1)**3*(3*d - 1)**2
Factor -24/5*j - 4*j**2 + 0 + 4/5*j**3.
4*j*(j - 6)*(j + 1)/5
Let r be ((-2)/((-60)/(-18)))/((-12)/10). Solve 3/2*a**2 - 1/2*a**4 - r*a - 1 + 1/2*a**3 = 0.
-1, 1, 2
Let x be 26/182*(-7)/(-10). Let v(o) be the first derivative of 4 + 1/6*o**3 - 1/4*o**2 + 1/8*o**4 + 0*o - x*o**5. Let v(k) = 0. What is k?
-1, 0, 1
Let l(x) = -x**3 + x**2 + x - 1. Let k(o) = 49*o**3 + 11*o**2 - 44*o - 16. Let a(d) = -k(d) - 4*l(d). Factor a(p).
-5*(p - 1)*(3*p + 2)**2
Let d(p) be the second derivative of -p**5/80 - 3*p**4/4 + 115*p**3/24 - 39*p**2/4 + 152*p - 2. Let d(u) = 0. Calculate u.
-39, 1, 2
Let b(d) be the third derivative of 4*d**2 - 1/525*d**7 - 1/450*d**5 + 0*d**4 - 1/2520*d**8 + 0*d**3 + 0*d - 1/300*d**6 + 0. Suppose b(t) = 0. Calculate t.
-1, 0
Let f(y) be the first derivative of y**8/672 + y**7/105 + y**6/48 + y**5/60 + 4*y**2 + 3. Let v(r) be the second derivative of f(r). Factor v(k).
k**2*(k + 1)**2*(k + 2)/2
Let a be (36/(-210))/((-126)/98). Let n(x) be the first derivative of 2/9*x**3 - a*x**5 + 1/18*x**6 + 0*x - 1/6*x**2 - 9 + 0*x**4. Solve n(z) = 0.
-1, 0, 1
Let l(o) be the first derivative of -o**5/50 - o**4/30 + 5*o - 12. Let s(m) be the first derivative of l(m). Determine v so that s(v) = 0.
-1, 0
Suppose 2*x - 981 = -7*x. Let m = -1633/15 + x. Factor -2/15 + 2/15*n**2 + m*n**3 - 2/15*n.
2*(n - 1)*(n + 1)**2/15
Suppose 9 - 10 = -3*c + i, c + i = 7. Let w(f) be the third derivative of -1/180*f**5 - 4*f**c + 1/36*f**4 + 0 + 1/6*f**3 + 0*f. Factor w(u).
-(u - 3)*(u + 1)/3
Let i(u) be the first derivative of u**6/39 - 3*u**4/26 - 4*u**3/39 + 45. Factor i(n).
2*n**2*(n - 2)*(n + 1)**2/13
Suppose 1/2*d**2 - 64 + 31*d = 0. Calculate d.
-64, 2
Let t(n) be the third derivative of n**8/20160 + n**7/1680 - n**6/180 + 2*n**5/15 + 6*n**2. Let c(b) be the third derivative of t(b). Factor c(h).
(h - 1)*(h + 4)
Let b be (-87)/(63/(-36)*(-6)/7). Let o be 0 - (-2)/(-12) - b/60. Factor -o*n + 2/5*n**2 - 6/5.
2*(n - 3)*(n + 1)/5
Let q(t) be the first derivative of 2*t**3/3 - 7*t**2 + 12*t - 316. Factor q(d).
2*(d - 6)*(d - 1)
Let j(v) be the first derivative of -v**5/20 - 11*v**4/16 - 13*v**3/4 - 49*v**2/8 - 5*v + 114. Let j(n) = 0. Calculate n.
-5, -4, -1
Let j(p) = -2*p + 12. Suppose -1 = -x + 4. Let c be j(x). Suppose -33*r + 18*r**c + 13*r**2 + 6 - 4*r**2 = 0. Calculate r.
2/9, 1
Suppose 3*y - 9*y + 5*y + 3 = 0. Factor -y + 63/2*x - 57/2*x**2.
-3*(x - 1)*(19*x - 2)/2
Let w be (-4)/(-6) + 624/144. Let m(f) = -2*f**2 + 3*f**2 - 7 + 2. Let l(g) = -4*g**2 + 16. Let c(a) = w*l(a) + 16*m(a). Solve c(y) = 0 for y.
0
Let v be (-1 + (-8)/4)*-1. Determine l, given that -6*l**2 - 2*l - v*l**4 + 17*l + 39*l**3 - 57*l**3 + 14 + 3*l**5 - 5 = 0.
-1, 1, 3
Determine n, given that 4/3*n**2 + 8/3*n**4 - 4 - 19/3*n + 1/3*n**5 + 6*n**3 = 0.
-4, -3, -1, 1
Let m(h) be the second derivative of -1/5*h**5 + 10*h + 0*h**2 + 0*h**3 + 0 - 2/3*h**4. Factor m(r).
-4*r**2*(r + 2)
Suppose 0 = 3*y - 3*a - 29 - 52, -133 = -5*y + 3*a. Let m = y + -26. Factor -24*z**2 - z + m*z + 22*z**2 - z**3.
-z*(z + 1)**2
Let q be 0/(-2)*258/(-516). Factor -1/10*p + 2/5*p**2 - 3/5*p**3 + q + 2/5*p**4 - 1/10*p**5.
-p*(p - 1)**4/10
Let a(j) = 9*j + 1 + 12*j**2 + j**3 + 8 - 26*j. Let p be ((-18)/(-21))/(2/7). Let g(o) = -o**3 - 6*o**2 + 9*o - 5. Let b(f) = p*a(f) + 5*g(f). Solve b(z) = 0.
1
Suppose 0*g - 4*g = -5*o - 16, -g = -o - 4. Let i(v) be the third derivative of o*v + 1/240*v**5 + 0 - 1/96*v**4 - 2*v**2 - 1/12*v**3. Factor i(t).
(t - 2)*(t + 1)/4
Let z(i) = -31*i + 10. Let s be z(-5). Let x be s/(-20) - -3 - -6. Factor -15/4*y**2 + 21/4*y - 9/4 + x*y**3.
3*(y - 3)*(y - 1)**2/4
Factor 0 - 23/3*f - 1/3*f**2.
-f*(f + 23)/3
Let b(a) = -a**2 + 16*a + 15. Let m be b(17). Let w be (m/(-4))/(23/138). Find z such that -16/3*z**w - 8/3 + 2*z**4 + 2/3*z**2 + 16/3*z = 0.
-1, 2/3, 1, 2
Let w(a) be the third derivative of a**2 - 1/20*a**5 + 1/40*a**6 + 0 - 3/2*a**3 - 5/8*a**4 + 0*a. Find d such that w(d) = 0.
-1, 3
Let b(c) be the third derivative of 0*c + 0 + 0*c**4 + 0*c**3 + 7/720*c**6 + 1/180*c**5 - 11*c**2 + 1/420*c**7. Find o such that b(o) = 0.
-2, -1/3, 0
Suppose 108*g**3 - 20*g**4 + 24 + 148*g - 97*g**5 + 301*g**2 - 65*g**2 + 81*g**5 = 0. What is g?
-2, -1, -1/4, 3
Let o(u) be the first derivative of u**4/10 + 8*u**3/15 - u**2/5 - 8*u/5 - 171. Determine s so that o(s) = 0.
-4, -1, 1
Let h = -703/560 + 21/16. Let u(l) be the first derivative of -1 - 1/14*l**4 + 2/21*l**3 - h*l**5 + 0*l**2 + 0*l + 1/21*l**6. Find j such that u(j) = 0.
-1, 0, 1
Let g(t) = -2*t**3 + 21*t**2 + 12*t - 14. Let k be g(11). Let f be (-19 - k)*(-1)/5 - 2. Find b, given that -2/5*b**2 + 4/5 - 2/5*b**4 - 6/5*b + f*b**3 = 0.
-1, 1, 2
Let b(l) be the first derivative of 21*l**4/20 + 13*l**3/5 + 9*l**2/5 + 152. Suppose b(w) = 0. What is w?
-1, -6/7, 0
Let i(n) be the first derivative of 3*n**4/4 + 45*n**3 - 69*n**2 - 363. Find a such that i(a) = 0.
-46, 0, 1
Factor 11163/5 + 366/5*x + 3/5*x**2.
3*(x + 61)**2/5
Factor -1128/5*i - 612/5*i**2 - 144 - 126/5*i**3 - 6/5*i**4.
-6*(i + 2)**3*(i + 15)/5
Find z, given that 676/3 + 728/3*z + 53/3*z**2 + 1/3*z**3 = 0.
-26, -1
Let k(n) be the second derivative of -n**7/357 + n**6/85 - n**5/170 - n**4/34 + 2*n**3/51 - 237*n + 1. Solve k(u) = 0 for u.
-1, 0, 1, 2
Let r(k) = -1880*k - 226588. Let h(m) = m**2 + 3766*m + 453173. Let b(v) = -4*h(v) - 7*r(v). Determine z, given that b(z) = 0.
-238
Let p(k) be the second derivative of -k**6/6 + 35*k**5/4 + 185*k**4/4 + 565*k**3/6 + 95*k**2 - 2*k + 67. Factor p(o).
-5*(o - 38)*(o + 1)**3
Solve -481*r**2 - 376*r - 467*r**2 - 483*r**2 - 288 - 473*r**2 + 1884*r**2 = 0 for r.
-18, -4/5
Suppose 297 = 100*o - 203. Let w(l) be the first derivative of -10 + 6/55*l**o + 4/11*l + 10/11*l**3 - 9/11*l**2 - 1/2*l**4. Find b such that w(b) = 0.
2/3, 1
Determine p, given that -21*p**2 + 1/2*p**5 - 63/2*p - 27/2 + 5/2*p**4 - p**3 = 0.
-3, -1, 3
Factor 11/4*l - 5/4*l**3 + 3*l**2 - 3/2.
-(l - 3)*(l + 1)*(5*l - 2)/4
Let m = 9454 - 9454. Factor 0 - 2/15*l**2 - 4/15*l**3 - 2/15*l**4 + m*l.
-2*l**2*(l + 1)**2/15
Let l(g) be the first derivative of g**4/30 + 8*g**3/15 + 3*g**2 + 20*g/3 + 48. Solve l(f) = 0 for f.
-5, -2
Let n be 0 - (9/3 + (-11 - -5)). Let u(i) be the first derivative of -7 + 9*i + n*i**2 + 1/3*i**3. Factor u(a).
(a + 3)**2
Let b(k) be the first derivative of k**4/5 - 44*k**3/15 - 182. Factor b(j).
4*j**2*(j - 11)/5
Let i(c) = -5*c**2 - 42*c + 31. Let t be i(-9). Determine l, given that 0 - 3/5*l**t + 6/5*l + 0*l**3 + 9/5*l**2 = 0.
-1, 0, 2
Let i(x) be the first derivative of -x**4/26 + 20*x**3/39 - 9*x**2/13 - 114. Let i(o) = 0. Calculate o.
0, 1, 9
Let x(w) be the third derivative of 2*w**7/105 + w**6/30 - w**5/15 - w**4/6 + 125*w**2. Factor x(y).
4*y*(y - 1)*(y + 1)**2
Let p be 43/(-40) + (-18)/(-15). Let h(f) be the first derivative of -1/12*f**3 - 2 - p*f**2 + 1/16*f**4 + 1/4*f. Find s such that h(s) = 0.
-1, 1
Let l(j) be the second derivative of 11*j**4/72 - 17*j**3/18 + j**2/4 - 2*j - 7. Solve l(d) = 0.
1/11, 3
Let t = -1/1036 + 24869/5180. Factor 0 - t*l**3 - 48/5*l**2 - 3/5*l**4 + 0*l.
-3*l**2*(l + 4)**2/5
Factor -180*i - 1/2*i**4 - 200 - 121/2*i**2 - 9*i**3.
-(i + 4)**2*(i + 5)**2/2
Let d(y) be the third derivative of y**7/17640 - y**6/1680 - y**4 + 17*y**2. Let c(i) be the second derivative of d(i). Factor c(w).
w*(w - 3)/7
Let h(b) = -5*b**3 + 15*b**2 + 24*b + 4. Let n(m) = 81*m**3 - 240*m**2 - 387*m - 66. Let f(x) = 33*h(x) + 2*n(x). Suppose f(r) = 0. Calculate 