)*(k + 2)
Let i(s) be the second derivative of -5*s**7/14 + 17*s**6/10 + 18*s**5/5 - 38*s**4 + 88*s**3 - 72*s**2 + 18*s. Suppose i(z) = 0. What is z?
-3, 2/5, 2
Factor 3/5*n**2 - n**3 - 1/5*n**4 + 13/5*n - 2.
-(n - 1)**2*(n + 2)*(n + 5)/5
Suppose 3*y = -3*w + 12, -6 = -3*y - w - 2. Factor 27/4*p + 9/4*p**3 - 1/4*p**4 + y - 27/4*p**2.
-p*(p - 3)**3/4
Let o(u) be the third derivative of 3/70*u**7 + 1/112*u**8 + 0*u - 1/4*u**4 + 0*u**3 + 1/40*u**6 - 3/20*u**5 - 19*u**2 + 0. Factor o(r).
3*r*(r - 1)*(r + 1)**2*(r + 2)
Let n(h) be the third derivative of 0 - 6*h**2 + 1/16*h**4 + 0*h**3 + 0*h - 1/40*h**5. Solve n(j) = 0.
0, 1
Suppose -3/2 - 61/12*d - 3/4*d**4 + 7/12*d**2 + 27/4*d**3 = 0. What is d?
-2/3, -1/3, 1, 9
Let z = -29 - -30. Let a(g) = -7*g**2 - 5*g + 8. Let i(k) = -k**2 - k + 1. Let y(j) = z*a(j) - 6*i(j). Factor y(d).
-(d - 2)*(d + 1)
Let m(r) be the first derivative of -5*r**3/3 + 35*r**2 + 75*r + 112. Find z such that m(z) = 0.
-1, 15
Let f(w) = -w + 1. Let t(p) = p - 17. Let v be t(15). Let o be f(v). Determine x, given that 0*x**3 - x**4 + x**4 - 2*x**o + 2*x - x**4 + x**2 = 0.
-2, -1, 0, 1
Solve -9*o**2 - 3*o**2 - 4*o**2 + 13*o**2 - 54 - 57*o = 0 for o.
-18, -1
Let x(g) be the second derivative of -g**7/14 - g**6/10 + 9*g**5/20 + g**4/4 - g**3 + 4*g + 1. What is z in x(z) = 0?
-2, -1, 0, 1
Let m(v) be the third derivative of -7*v**6/240 + 5*v**5/6 - 119*v**4/48 + 13*v**3/6 - 396*v**2. Let m(k) = 0. Calculate k.
2/7, 1, 13
Let 1875/2 + 24*n**4 - 240*n**3 - 1500*n + 900*n**2 = 0. Calculate n.
5/2
Let j(t) be the second derivative of 0 + 7/4*t**4 - 7/10*t**6 + 14*t + 0*t**2 + 3/10*t**5 - t**3. Factor j(x).
-3*x*(x - 1)*(x + 1)*(7*x - 2)
Let j = -35 + -5. Let w = j - -40. Factor 0*v - 2*v**3 + 4/3*v**2 - 10/3*v**4 + w.
-2*v**2*(v + 1)*(5*v - 2)/3
Let w(s) be the third derivative of 0*s**3 - 1/420*s**6 + 14*s**2 + 0*s**4 + 1/735*s**7 - 1/105*s**5 + 0 + 0*s. What is m in w(m) = 0?
-1, 0, 2
Let y(z) be the second derivative of -z**4/84 - 41*z**3/42 - 92*z + 1. What is i in y(i) = 0?
-41, 0
Let r be (11/(-2))/(5/(-10)). Factor 10*q**5 - 4*q - 13*q**2 + 26*q**4 + r*q**2 + 10*q**3 + 8*q**3.
2*q*(q + 1)**3*(5*q - 2)
Suppose -h = 57*x - 62*x - 14, 4*h + 5*x = 6. Find s such that -202/13*s**3 + 8/13 + 96/13*s**5 - 112/13*s**h + 54/13*s**2 + 56/13*s = 0.
-1, -1/4, 2/3, 2
Let b(v) = -v**3 + 290*v**2 - 1108*v + 1084. Let z(k) = -k**3 + 2*k - 1. Let j(h) = b(h) + 4*z(h). Factor j(o).
-5*(o - 54)*(o - 2)**2
Factor 1/3*c**2 - 140/3*c + 4900/3.
(c - 70)**2/3
Let w(n) be the third derivative of n**5/90 - 17*n**4/6 + 289*n**3 - 14*n**2 + n. Solve w(j) = 0 for j.
51
Suppose -v - 10*v + 242 = 0. Suppose 5*t = 2*f + 16, -5*t + 0 = 5*f - 30. Solve 14*j**3 + 3*j**5 + j**f + 25*j**3 + 12*j + 18*j**4 + v*j**2 + 13*j**2 = 0.
-2, -1, 0
Let l(p) be the first derivative of p**6/60 - 3*p**5/25 - p**4/40 + 19*p**3/15 - 16*p/5 - 71. Let l(q) = 0. Calculate q.
-2, -1, 1, 4
Let 18*f + 189 - 3/7*f**4 - 1320/7*f**2 - 18*f**3 = 0. Calculate f.
-21, -1, 1
Let u(y) be the first derivative of 9/8*y + 15/16*y**2 + 21 + 1/8*y**3 - 3/32*y**4. Factor u(t).
-3*(t - 3)*(t + 1)**2/8
Let d = 4 - 1. Suppose -16 = -2*k + 4*s, 5*k + 2*s - 1 = -s. Factor -d*z + 3/2 + 3/2*z**k.
3*(z - 1)**2/2
Let q(b) be the second derivative of -1/98*b**7 + 0*b**5 + 0*b**4 + 0*b**3 - 2*b + 0*b**2 + 0 + 1/35*b**6. Factor q(f).
-3*f**4*(f - 2)/7
Let l(j) = -j**3 - 8*j**2 + 9*j - 8. Let b be l(-9). Let z be (27/(-12))/(6/b). Factor -3*a**3 - 2*a**z + 40*a - 20*a**2 - 5*a**3 + 5*a**4.
5*a*(a - 2)**2*(a + 2)
Let g = 18643/19 - 981. Let s = g + 132/95. Factor 0*z - 12/5*z**3 - s*z**5 + 0 + 18/5*z**4 + 2/5*z**2.
-2*z**2*(z - 1)**2*(4*z - 1)/5
Let s = -2431 - -2434. Determine q, given that 6/5*q - s*q**2 + 12/5*q**3 + 0 - 3/5*q**4 = 0.
0, 1, 2
Suppose 0 = -x - 10 + 16. Let w(q) be the third derivative of 1/4*q**3 + 7/40*q**5 + 0*q + 5/16*q**4 + 3/80*q**x + 6*q**2 + 0. Suppose w(t) = 0. What is t?
-1, -1/3
Let o(l) be the third derivative of -l**7/120 - l**6/160 + l**5/60 + 2*l**2 + 17*l. Determine v, given that o(v) = 0.
-1, 0, 4/7
Let r(u) be the first derivative of 2/21*u**3 + 0*u**2 + 0*u - 6. What is c in r(c) = 0?
0
Let a(l) = l**4 + l**3 - l + 1. Let r(t) = 1255*t**4 - 2195*t**3 + 668*t**2 + 259*t + 23. Let q(n) = 5*a(n) - r(n). Factor q(v).
-2*(v - 1)**2*(25*v + 3)**2
Let l be 6*(-6)/(-24)*(-8)/(-36). Let 5/3*w**2 + 0 + l*w**3 - 14/3*w = 0. Calculate w.
-7, 0, 2
Let n(h) be the second derivative of -2*h**6/105 + 4*h**5/7 + 23*h**4/7 + 2*h - 205. Solve n(k) = 0.
-3, 0, 23
Let o = 1671 + -820. Let a = o + -2509/3. Determine w so that -25/3*w**3 - 8/3 - a*w - 4/3*w**4 - 18*w**2 = 0.
-2, -1/4
Let b(z) be the second derivative of -2/51*z**3 + 1/51*z**6 + 4/85*z**5 + 0*z**2 - 10*z + 0 + 1/102*z**4. Factor b(w).
2*w*(w + 1)**2*(5*w - 2)/17
Let v(s) be the first derivative of -1/42*s**7 + 0*s**5 + 1/30*s**6 - 4*s + 0*s**3 + 0*s**2 + 5 + 0*s**4. Let c(x) be the first derivative of v(x). Factor c(i).
-i**4*(i - 1)
Let b(a) be the first derivative of -2*a**3/21 - 10*a**2/7 - 48*a/7 - 14. Factor b(s).
-2*(s + 4)*(s + 6)/7
Let s(a) = a + 2. Let p be s(-6). Let r be (p/6)/(5/(-30)). Factor -5*h**2 - 115 - 2*h + h**r - 3*h**3 + 115 + h**5.
h*(h - 2)*(h + 1)**3
Suppose 80*r - 4 - 3*r**2 - r**2 + 3 + 1 = 0. What is r?
0, 20
Suppose -19*t = -1728 + 1690. Let -58/5*a**2 + 0 + 12/5*a - 54/5*a**4 + t*a**5 + 18*a**3 = 0. What is a?
0, 2/5, 1, 3
Suppose 5*w = 2*d - 3*d + 11, -w = 4*d + 13. Factor 29*p**3 - 51*p**w - 6 + 24*p**3 + 4*p + 10*p - 10*p**2.
2*(p - 3)*(p - 1)**2
Let c = 737 - 8099/11. Solve -8/11*m**2 - c*m + 0 - 2/11*m**3 = 0 for m.
-2, 0
Solve 531*q**5 + 40*q + 14*q**4 - 486*q**5 + 37*q**4 + 180*q**2 + 290*q**3 + 144*q**4 = 0 for q.
-2, -1, -2/3, 0
Factor -11*s**2 + 3*s**3 - 3097*s**4 + 3100*s**4 - 12*s - s**2.
3*s*(s - 2)*(s + 1)*(s + 2)
Let g(q) be the first derivative of 0*q**2 + 6*q + 4 - 1/6*q**3 + 1/24*q**4. Let v(a) be the first derivative of g(a). Factor v(o).
o*(o - 2)/2
Let u(d) be the second derivative of d**4/48 + 3*d**3/8 - 11*d**2/4 - 24*d - 1. Factor u(n).
(n - 2)*(n + 11)/4
Let z(r) = -7*r**2 - 5*r. Let j(o) be the third derivative of -o**5/3 - 7*o**4/12 - 23*o**2. Let g(f) = -3*j(f) + 8*z(f). Determine h, given that g(h) = 0.
-1/2, 0
Let o(a) be the third derivative of -a**7/2310 - a**6/220 - a**5/55 - 5*a**4/132 - a**3/22 + 78*a**2. Find y such that o(y) = 0.
-3, -1
Let o(w) be the third derivative of -w**5/420 + 59*w**4/84 - 3481*w**3/42 + 180*w**2 + 2*w. Suppose o(z) = 0. What is z?
59
Let d(q) = -3*q**2 + 32*q - 1. Let n be d(11). Let t(k) = -4*k - 45. Let x be t(n). Factor -9/4*z**4 + 6*z**x - 1/4 - 11/2*z**2 + 2*z.
-(z - 1)**2*(3*z - 1)**2/4
Suppose -4*o + 54 = -6*o. Let p be ((-6)/9)/(6/o). Factor -3*c - 1 + 2 - 3*c**2 + 3*c**3 + p*c**4 - 1.
3*c*(c - 1)*(c + 1)**2
Let m be -2*(4 + -3) + -1. Let j(g) = -5*g + 24 + 6*g**2 - g - 24. Let i(p) = -13*p**2 + 12*p + 1. Let a(r) = m*i(r) - 7*j(r). Solve a(k) = 0.
1
Factor 180/19*p**3 + 162/19*p**2 + 0 + 50/19*p**4 + 0*p.
2*p**2*(5*p + 9)**2/19
Let p = -10652/5 - -2131. What is a in -p*a + 3/5*a**2 + 1/5 - 1/5*a**3 = 0?
1
Let j(a) be the second derivative of a**4/4 + 10*a**3 + 153*a**2/2 + 175*a. Factor j(v).
3*(v + 3)*(v + 17)
Let d(m) be the third derivative of 1/130*m**5 + 0 + 1/78*m**4 + 0*m**6 - m**2 + 0*m - 1/1365*m**7 + 0*m**3. Determine k, given that d(k) = 0.
-1, 0, 2
Let t(j) be the first derivative of -34*j**3/33 - 36*j**2/11 - 8*j/11 - 54. Factor t(o).
-2*(o + 2)*(17*o + 2)/11
Let t(r) = -4*r - r + r - 4*r**2 + 11*r. Let b(a) = 8*a**2 - 13*a - 1. Let x(z) = 6*b(z) + 15*t(z). Suppose x(l) = 0. What is l?
1/4, 2
Let t(a) be the first derivative of 0*a + 5 + 5/2*a**2 + 9/4*a**3 - 3/8*a**4 + 1/40*a**5. Let q(d) be the second derivative of t(d). Factor q(u).
3*(u - 3)**2/2
Factor 0*m**2 - 7*m**4 + 0*m + 0 + 1/2*m**5 - 15/2*m**3.
m**3*(m - 15)*(m + 1)/2
Let r(g) = -6*g**2 + 13*g - 8. Let s be r(6). Let o = 442/3 + s. Factor 0*t**2 + o*t**3 - 4/3*t + 0.
4*t*(t - 1)*(t + 1)/3
Let v = 442/1155 + 4/231. Factor 2/5*p**5 + 0 + 6/5*p**3 - v*p**2 + 0*p - 6/5*p**4.
2*p**2*(p - 1)**3/5
Let m(u) be the first derivative of -u**8/112 + u**6/40 - 6*u**2 + 4. Let l(w) be the second derivative of m(w). Solve l(c) = 0.
-1, 0, 1
Let g be ((-298)/1043)/((12/21)