*(-35)/392*-7. Let k(q) be the second derivative of -7/2*q**3 - j*q**4 - 2/5*q**6 + 0 - 3/2*q**2 - q - 39/20*q**5. Suppose k(p) = 0. What is p?
-1, -1/4
Suppose 9*s - 12*s = -4*m - 8, 2*s = -m + 9. Suppose -18 + 18 = 3*u. Factor -4/7*h**2 + 0 + 4/7*h**s + u*h + 0*h**3.
4*h**2*(h - 1)*(h + 1)/7
Let p = -26/137 - -626/411. Find d, given that 1/6*d**2 - 7/6*d - p = 0.
-1, 8
Let c be ((-32)/(-12))/1*3. Let o(x) = -2*x - 2. Let j be o(-5). Factor -c + j + s + s**2.
s*(s + 1)
Let x(h) = -10*h**3 + 25*h**2 - 15*h - 5. Let g(s) = -s**3 + s**2 - 1. Let f = -42 - -41. Let z(t) = f*x(t) + 5*g(t). Determine b so that z(b) = 0.
0, 1, 3
Suppose 4*c + 2*r - 16 = 0, -11*c - 75 = r - 101. Let m be (-16)/170*5*-1. Suppose -m - 2/17*w**c + 8/17*w = 0. Calculate w.
2
Let j(g) be the first derivative of 4*g**5/25 - 8*g**4/5 + 8*g**3/5 + 16*g**2/5 - 28*g/5 + 11. Factor j(i).
4*(i - 7)*(i - 1)**2*(i + 1)/5
Let j = 26452 - 26452. Suppose 2/5*z**3 + 0*z + j + 0*z**2 = 0. Calculate z.
0
Let h(t) be the second derivative of 1/210*t**7 + 0*t**2 + 3/5*t**5 + 7/75*t**6 + 5/6*t**4 + 0 - 25/6*t**3 + 16*t. Let h(m) = 0. Calculate m.
-5, 0, 1
Let m(i) be the second derivative of -1/12*i**3 - 1/8*i**4 + 1/60*i**6 + 5*i + 0 + 1/2*i**2 + 1/40*i**5. Let m(d) = 0. Calculate d.
-2, -1, 1
Let o(q) be the second derivative of -q**6/180 + q**5/60 + 5*q**3/3 + 22*q. Let f(h) be the second derivative of o(h). Factor f(l).
-2*l*(l - 1)
Let c(z) be the third derivative of z**7/140 + 7*z**6/40 + 3*z**5/2 + 9*z**4/2 - 80*z**2. Factor c(w).
3*w*(w + 2)*(w + 6)**2/2
Let i = -1214 - -4859/4. Factor -1/4*g**5 + i*g**3 + 0 - g - g**2 + 1/2*g**4.
-g*(g - 2)**2*(g + 1)**2/4
Let x be 102/357 - (1070/21 - -1). Let n = x - -53. Find z, given that -n*z**3 - 2/3*z + 0 + 2*z**2 = 0.
0, 1/2, 1
Suppose -1376 + 1424 = 24*h. Let 2/9*f**5 - 2/9*f**4 + 2/3 - 4/3*f**3 - 4/9*f**h + 10/9*f = 0. Calculate f.
-1, 1, 3
Suppose 11*c - 5 - 17 = 0. Factor -8/3 - 1/6*y**c - 4/3*y.
-(y + 4)**2/6
What is j in -36/7*j**2 + 6/7*j**3 + 72/7*j - 48/7 = 0?
2
Let l(t) be the third derivative of -t**6/180 - t**5/10 + t**4/3 + 20*t**3/9 - 39*t**2 - 1. What is d in l(d) = 0?
-10, -1, 2
Let q = 2104/1569 - 4/523. What is d in -1 - q*d - 1/3*d**2 = 0?
-3, -1
Let g be 73/18 - (-32)/(6 - 14). Let k(t) be the first derivative of 0*t + 0*t**3 + g*t**6 + 0*t**2 - 2/15*t**5 + 1/12*t**4 + 9. Find v, given that k(v) = 0.
0, 1
Let b(t) = 4*t**3 + 6*t**2 + 5*t**4 + 9*t - 5*t**3 - 4*t**4. Let a(x) = 2*x**4 + 6*x**2 + 10*x. Let i(y) = -5*a(y) + 6*b(y). Factor i(d).
-2*d*(d - 1)*(d + 2)*(2*d + 1)
Let h(a) be the second derivative of 0 + 0*a**2 - 1/378*a**7 - 45*a - 1/18*a**3 - 1/15*a**5 - 1/45*a**6 - 5/54*a**4. Solve h(k) = 0 for k.
-3, -1, 0
Let i(n) be the first derivative of n**4/10 + 116*n**3/15 + 189*n**2 + 5832*n/5 + 359. Let i(d) = 0. What is d?
-27, -4
Let k(i) = -120*i**3 - 66*i**2 + 154*i - 38. Let o(p) = 41*p**3 + 22*p**2 - 51*p + 13. Let j(r) = 5*k(r) + 14*o(r). Factor j(m).
-2*(m - 1)*(m + 2)*(13*m - 2)
Suppose 6*u = -12*u + 67 + 23. Find g such that 0 - 40*g**4 + 25/3*g**u - 32*g**2 + 16/3*g + 184/3*g**3 = 0.
0, 2/5, 2
Let s(u) be the third derivative of -u**5/12 - 35*u**4/24 - 25*u**3/3 - 69*u**2 - u. Suppose s(q) = 0. What is q?
-5, -2
Let w(j) be the first derivative of 8/9*j - 2/27*j**3 + 1/3*j**2 + 17. Factor w(i).
-2*(i - 4)*(i + 1)/9
Let p be (-10)/(-4) + 19/(-380)*-10. Factor 0 - 2/9*x**p + 0*x - 2/9*x**2.
-2*x**2*(x + 1)/9
Let c be 1 + 0 + -1 + 3. Let g be (8 + 162/(-21) - (-15)/21) + 1. Solve -1/2*o**c - 3/2*o**g + 0 - o = 0 for o.
-2, -1, 0
Let v(t) be the second derivative of 1/1260*t**6 - 1/6*t**3 + 0*t**2 + 3*t + 1/210*t**5 + 0*t**4 + 0. Let c(w) be the second derivative of v(w). Factor c(g).
2*g*(g + 2)/7
Factor 2/13*j + 2/13 - 2/13*j**3 - 2/13*j**2.
-2*(j - 1)*(j + 1)**2/13
Suppose 16*k = -153 + 201. Let h(r) be the second derivative of -1/120*r**6 + 0 - 1/40*r**5 + 1/12*r**k - 3*r + 1/8*r**2 + 0*r**4. Factor h(g).
-(g - 1)*(g + 1)**3/4
Let u(p) = -p**4 + 17*p**3 - 138*p**2 + 190*p - 77. Let z(j) = 35*j**3 - 275*j**2 + 380*j - 155. Let n(y) = -5*u(y) + 3*z(y). Let n(v) = 0. What is v?
-8, 1, 2
Let n(q) be the third derivative of q**6/60 - 11*q**5/15 + 121*q**4/12 - 108*q**2. Factor n(y).
2*y*(y - 11)**2
Let h(r) be the second derivative of r**5/70 + r**4/14 - 4*r**3/21 - 29*r. Factor h(a).
2*a*(a - 1)*(a + 4)/7
Let w = -6 + 15. Let b = w - 7. Solve 6*n - 3*n + n**b + 2*n**2 = 0 for n.
-1, 0
Let l(g) be the third derivative of g**8/7840 + g**7/1260 + g**6/504 + g**5/420 + g**4/6 - 12*g**2. Let v(p) be the second derivative of l(p). Solve v(z) = 0.
-1, -1/3
Let q(a) be the third derivative of a**6/360 + 9*a**5/20 + 533*a**4/24 - 1681*a**3/18 + 20*a**2 + a. Factor q(u).
(u - 1)*(u + 41)**2/3
Suppose 6*v = 13*v - 63. Suppose -v*t + 4*t - 2*l + 8 = 0, -4*t + 20 = 5*l. Factor t + 0*m**2 - 1/4*m + 1/4*m**3.
m*(m - 1)*(m + 1)/4
Let i(n) be the second derivative of -n**7/42 + n**6/2 - 9*n**5/2 + 45*n**4/2 - 135*n**3/2 + 243*n**2/2 - 70*n. What is j in i(j) = 0?
3
Let y = 28 - -53. Let p = 83 - y. Let -3/7*x - 2/7 - 1/7*x**p = 0. What is x?
-2, -1
Let 3477 - 3477 + 88*w**3 - w**4 - 40*w + 120*w - 164*w**2 - 3*w**4 = 0. What is w?
0, 1, 20
Let v(a) be the third derivative of 0*a**4 + 0*a**3 - 1/210*a**5 + 0 + 16*a**2 + 0*a. Find z such that v(z) = 0.
0
Suppose -3*c + 36 = 2*a + c, 3*a + 5*c - 52 = 0. Factor 6*f**2 + 4*f - 8*f**2 - 62*f**3 + 42*f**3 - a*f**2.
-4*f*(f + 1)*(5*f - 1)
Find f such that f**5 - 11*f**5 + 3*f + 15*f**3 + 16*f**3 - f**3 + 4*f**4 - 32*f**2 + 5*f = 0.
-2, 0, 2/5, 1
Let x(j) = 68*j - 1154. Let i be x(17). Factor 4/13*f**3 - 2/13*f**5 - 2/13*f - 2/13 - 2/13*f**4 + 4/13*f**i.
-2*(f - 1)**2*(f + 1)**3/13
Let y(t) = 2*t + 20. Let c(p) = -10*p**2 + 1. Let d be c(1). Let g be y(d). Factor 1/9*v + 0 - 2/9*v**g - 1/9*v**3 + 2/9*v**4.
v*(v - 1)*(v + 1)*(2*v - 1)/9
Let b(t) be the second derivative of -t**5/35 - 89*t**4/21 - 353*t**3/42 - 44*t**2/7 + 165*t. Factor b(w).
-(w + 88)*(2*w + 1)**2/7
Let c(p) = -27*p + 186. Let x be c(17). Let k be (4/(-49))/(39/x). Find s, given that -k*s**2 - 16/7 - 20/7*s = 0.
-4, -1
Let f(h) = h**2 - 8*h + 13. Let t be f(7). Suppose -4*l + 0*l = 4*m + 4, 4*l - m - 11 = 0. Factor 3/2*y**3 - t + 12*y - 15/2*y**l.
3*(y - 2)**2*(y - 1)/2
Let o(y) be the first derivative of 2*y**5/5 - y**4 - 26*y**3/3 - 10*y**2 + 150. Factor o(j).
2*j*(j - 5)*(j + 1)*(j + 2)
Let t(n) be the third derivative of -n**6/300 + 11*n**5/150 - 2*n**4/5 - 12*n**3/5 + 67*n**2. Solve t(c) = 0 for c.
-1, 6
Suppose 10 = -34*z + 35*z. Suppose -2*i + z - 2 = 0. Factor -2/9*w**i - 2/9*w**2 + 0 + 0*w + 4/9*w**3.
-2*w**2*(w - 1)**2/9
Let p(s) be the second derivative of -s**5/100 - s**4/15 + 2*s**3/5 + 2*s + 43. Suppose p(b) = 0. Calculate b.
-6, 0, 2
Let j(f) = f**5 - f**2 - f - 1. Let s(w) = 5*w**5 + 3*w**3 - 8*w**2 - 6*w - 6. Let v(n) = -6*j(n) + s(n). Factor v(h).
-h**2*(h - 1)**2*(h + 2)
Let j(d) be the third derivative of d**8/26880 + d**5/4 + 10*d**2. Let v(l) be the third derivative of j(l). Solve v(q) = 0.
0
Let m(q) be the second derivative of 5*q**4/12 + 65*q**3/6 + 55*q**2 - 21*q - 2. What is t in m(t) = 0?
-11, -2
Suppose -679 = 4*w + i + 318, -3*i = 3*w + 741. Let n be 28/2*(w/(-70) + -3). Factor -n - 1/2*q**2 + 4*q.
-(q - 4)**2/2
Let b = 213/319 - 1/957. Factor -2*z**2 - 4/3*z - b*z**3 + 0.
-2*z*(z + 1)*(z + 2)/3
Let l(u) be the second derivative of -u**4/3 + 10*u**3/3 - 12*u**2 + 88*u. Factor l(m).
-4*(m - 3)*(m - 2)
Suppose -q = -0 - 2. Let o be (-5)/(-15)*q + 0. Factor o*z**3 - 2*z**2 + 4/3*z + 0.
2*z*(z - 2)*(z - 1)/3
Let a(i) = 6*i - 31. Let y(u) = -11*u + 63. Let m(h) = 7*a(h) + 4*y(h). Let w be m(16). Factor 6/7*t + 2/7 + 6/7*t**2 + 2/7*t**w.
2*(t + 1)**3/7
Factor 0*l**2 - 2/23 + 4/23*l**3 - 4/23*l + 2/23*l**4.
2*(l - 1)*(l + 1)**3/23
Find c, given that 70*c - 472*c**3 + 84*c**4 + 730*c + 240*c**2 + 7*c**5 - 16*c**5 + 5*c**5 = 0.
-1, 0, 2, 10
Suppose -4*a + 19 + 22 = 5*f, 16 = 4*a. Let p(v) be the second derivative of 0*v**3 + 1/2*v**2 - 1/16*v**4 + 0 - 1/80*v**f + 6*v. Solve p(d) = 0.
-2, 1
Determine b so that -4/5*b**2 + 4/5 - 4/5*b + 4/5*b**3 = 0.
-1, 1
Let h = 12 - -56. Let a = 205/3 - h. Factor -a*s**3 - s + 1/3 + s**2.
-(s - 1)**3/3
Let o(s) be the second derivative of -s**7/14 + 41*s**6/30