ose -4*i**3 - 62*i**s - 56*i**4 + 2*i + 4*i**2 + 116*i**4 + 2*i**5 - 2 = 0. What is i?
-1, 1
Suppose -2*o - 3*o + 2 = -2*w, 4 = -4*w + o. Let v(r) = -r + 2. Let y be v(w). Factor 1 + 12*h - y*h**2 - 1 - h**2 - 8.
-4*(h - 2)*(h - 1)
Let l(u) be the third derivative of -u**8/2240 - u**7/504 - u**6/360 + 11*u**4/24 - 15*u**2. Let m(w) be the second derivative of l(w). Factor m(c).
-c*(c + 1)*(3*c + 2)
Let k(b) = -3*b**2 - 18*b + 48. Let p be k(-8). Factor p + 2/3*s**3 - 10/3*s**2 + 2*s + 2/3*s**4.
2*s*(s - 1)**2*(s + 3)/3
What is d in -127*d**3 + 194*d**3 - 193*d**3 - 37*d + 1152 - 108*d**3 - 29*d**4 - 187*d - 664*d**2 - d**5 = 0?
-18, -4, 1
Let j(x) = x**2. Suppose 14*z - 13*z = 6. Let y(c) = -4*c**2 + 8*c + 6. Let r(f) = z*j(f) + y(f). Factor r(b).
2*(b + 1)*(b + 3)
Factor -16 + 2568/7*c - 14628/7*c**2 - 1058/7*c**3.
-2*(c + 14)*(23*c - 2)**2/7
Let w(s) = -s**2 - 3*s + 1. Let d(o) = -8*o**2 - 44*o - 44. Let t(q) = d(q) - 4*w(q). Determine x so that t(x) = 0.
-6, -2
Let a be 3/39 + 456/156. Solve -4/15*t**a - 2/5*t**4 + 8/5*t**2 + 2/15*t**5 - 16/15*t + 0 = 0.
-2, 0, 1, 2
Let g(t) be the third derivative of t**9/272160 - t**7/7560 + t**6/1620 + t**5/5 - 7*t**2. Let z(s) be the third derivative of g(s). Factor z(n).
2*(n - 1)**2*(n + 2)/9
Let o(q) be the third derivative of q**10/1120 - 3*q**8/1120 + q**7/315 - q**6/720 - 7*q**4/24 + 9*q**2. Let y(t) be the second derivative of o(t). Factor y(c).
c*(c + 1)*(3*c - 1)**3
Let w(k) = 4*k**2 + 26*k - 28. Let g be w(1). Factor 0*l + g - 1/2*l**2.
-(l - 2)*(l + 2)/2
Suppose -6*q - 50 = 100. Let o be (4 - 15/q) + -4. Factor -3/5*r**3 + 3/5*r**2 + 3/5*r - o.
-3*(r - 1)**2*(r + 1)/5
Let p(j) be the second derivative of j**7/42 + j**6/15 - j**5 - 11*j**4/2 - 15*j**3/2 + 116*j. Factor p(o).
o*(o - 5)*(o + 1)*(o + 3)**2
Let d = 115/21 + -190/7. Let m = -21 - d. Factor 2/3 - m*r**2 + 0*r.
-2*(r - 1)*(r + 1)/3
Let m(u) = -8*u**3 + 53*u**2 + 105*u + 59. Let f(g) = 7*g**3 - 52*g**2 - 105*g - 58. Let j(r) = -5*f(r) - 4*m(r). Factor j(b).
-3*(b - 18)*(b + 1)**2
Let n(a) = -14*a**4 + 22*a**3 - 10*a**2 - 2*a. Let m(c) = 29*c**4 - 45*c**3 + 21*c**2 + 5*c. Suppose 0 = -v + 8 - 3. Let s(f) = v*n(f) + 2*m(f). Factor s(j).
-4*j**2*(j - 1)*(3*j - 2)
Solve 4/9 + 1/3*d**4 + 1/9*d - 7/9*d**2 - 1/9*d**3 = 0 for d.
-1, 1, 4/3
Let r(o) = 13*o**2 + 624*o - 637. Let v(l) = 15*l**2 + 624*l - 639. Let s(g) = -6*r(g) + 5*v(g). Factor s(c).
-3*(c - 1)*(c + 209)
Let y be 2/(-6) + (-480)/18. Let l = -22 - y. What is i in -l*i**2 + i + 2*i + 2*i**2 - 6*i + 6 = 0?
-2, 1
Let a(w) be the second derivative of 0 - 2/39*w**3 + 3/13*w**2 + 26*w - 1/78*w**4. Find c such that a(c) = 0.
-3, 1
Let s = -12 + 3. Let j = -5 - s. Factor 3*m**2 - 2*m**4 + 3*m - 3*m**3 - 5*m**j + 0*m**2 + 4*m**4.
-3*m*(m - 1)*(m + 1)**2
Let w(y) be the second derivative of 0 + 0*y**2 + 5/3*y**3 - 1/4*y**5 - 5/12*y**4 + 26*y. Factor w(p).
-5*p*(p - 1)*(p + 2)
Let m(r) be the second derivative of r**6/30 - r**5/20 - r**4/2 + 503*r + 1. Determine n so that m(n) = 0.
-2, 0, 3
Let h(l) be the third derivative of 1/56*l**4 + 0*l + 4*l**2 + 0 + 0*l**3 + 1/420*l**5. Solve h(p) = 0 for p.
-3, 0
Suppose 26*w - 22*w = 72. Let r be 2 - ((-18)/81 - 32/w). Factor 1/8 - 5/8*g**2 + 1/2*g**r + 3/8*g**3 - 3/8*g.
(g - 1)*(g + 1)**2*(4*g - 1)/8
Let f = -4093 + 4097. Determine w so that -3*w - 15/4*w**3 + 3/4*w**f + 6*w**2 + 0 = 0.
0, 1, 2
Let u = 1850 + -1847. Let h(p) be the second derivative of 9/16*p**2 + 1/32*p**4 - 1/4*p**u + 0 - 8*p. Factor h(c).
3*(c - 3)*(c - 1)/8
Let u be (-6)/4*4 + 14/7. Let h(g) = 2*g**3 + g**2 + 3*g - 4. Let z(y) = y**3 + y**2 + 3*y - 3. Let d(c) = u*z(c) + 3*h(c). Factor d(v).
v*(v + 1)*(2*v - 3)
Let j(y) = -y - 3. Let l be j(-3). Let f be (5/3)/(635/762). Suppose 0*p + l - 1/3*p**4 - 2/3*p**3 - 1/3*p**f = 0. Calculate p.
-1, 0
Let b(a) = -a**3 - 1. Let w be b(-1). Let d(v) be the second derivative of w*v**4 + 2*v**3 - 4*v**2 + 0 - 1/5*v**5 + 8*v. Factor d(k).
-4*(k - 1)**2*(k + 2)
Let v be ((-2)/10)/((-4)/260). Let r be (36/60)/(v/10). Let 0 + r*x**2 + 8/13*x**3 - 2/13*x = 0. What is x?
-1, 0, 1/4
Let m(o) = 7*o**2 + o + 12. Let l(p) = -3*p**2 - 5. Let i(x) = 10*l(x) + 4*m(x). Factor i(w).
-2*(w - 1)**2
Let b = 1007 + -1004. Let q(a) be the first derivative of a**b + 2*a - 3 - 5/2*a**2. Solve q(j) = 0.
2/3, 1
Suppose 3 = -12*n - 165. Let z be 48/n + -8 + 12. Factor -z - 9/7*f**2 - 20/7*f.
-(f + 2)*(9*f + 2)/7
Let y(p) be the first derivative of 81*p**5/5 + 729*p**4/4 + 225*p**3 + 219*p**2/2 + 24*p + 119. Let y(a) = 0. Calculate a.
-8, -1/3
Let m(t) = 4*t + t - 6*t + 0*t. Let g(s) = -2*s**2 - 11*s - 6. Let j(p) = -g(p) + 3*m(p). Suppose j(z) = 0. Calculate z.
-3, -1
Suppose 0 = 67*u - 144*u + 77. Find p, given that 9/4*p + 3/2*p**2 + u + 1/4*p**3 = 0.
-4, -1
Suppose 5*v + 0*s = s + 33, 5*s = -15. Let m(x) be the third derivative of -3/8*x**4 + 3/20*x**5 - 2*x**2 + 1/2*x**3 + 0*x + 0 - 1/40*x**v. Factor m(g).
-3*(g - 1)**3
Let r(h) = 3*h - 59. Let j be r(21). What is l in -l**j - 17*l**3 + 29*l**3 + l + l**2 - 13*l**3 = 0?
-1, 0, 1
Let o(l) = -102*l - 1674. Let t be o(-19). Factor -32/3 - 108*h**3 - t*h**2 - 304/3*h.
-4*(h + 2)*(9*h + 2)**2/3
Let x(a) be the third derivative of -a**7/420 - 5*a**6/24 - 11*a**5/30 + 121*a**4/24 - 49*a**3/4 - 773*a**2. Factor x(n).
-(n - 1)**2*(n + 3)*(n + 49)/2
Let y(m) = -5*m**4 - 20*m**3 - 30*m**2 - 14*m - 5. Let o be ((-8)/10)/((-2)/(-15)). Let k(g) = 5*g - 2*g + 0*g - 4*g. Let f(i) = o*k(i) - y(i). Factor f(p).
5*(p + 1)**4
Let c = -899 + 904. Let y(g) be the first derivative of 15*g + c - 10*g**2 + 5/3*g**3. Factor y(b).
5*(b - 3)*(b - 1)
Let a(d) be the first derivative of -16 - 1/15*d**5 + 1/3*d**4 - 4/9*d**3 + 0*d + 0*d**2. Suppose a(r) = 0. What is r?
0, 2
Let i = -2260 + 2263. Solve 0 - 17/2*x**i + 0*x + x**2 = 0 for x.
0, 2/17
What is r in -1/2*r**2 + 29/2*r + 15 = 0?
-1, 30
Let h be 10/60 + 89/6. Let k = 18 - h. Determine l so that 90*l**4 + 93*l**k + 0*l**3 + 15*l**3 + 20*l**2 + 21*l**5 + 4*l**2 = 0.
-2, -2/7, 0
Let g(k) = k**3 + 2*k**2 - 4*k - 3. Let x be g(-3). Factor x*y + 0 - 1/4*y**2.
-y**2/4
Let 3/4*l**4 - 21/4*l**2 - 3/2 - 1/4*l**3 + 25/4*l = 0. Calculate l.
-3, 1/3, 1, 2
Let c(u) = 5*u - 3. Let r be c(1). Factor -3*i + 12*i**r - 459 + 12*i**4 - 3*i**5 + 459 - 18*i**3.
-3*i*(i - 1)**4
Let d(n) = -6*n**2 - 6*n + 30. Let r(k) = -17*k**2 - 19*k + 90. Let l(q) = 8*d(q) - 3*r(q). Factor l(h).
3*(h - 2)*(h + 5)
Let r(g) be the third derivative of g**5/240 - 5*g**4/96 - g**3/4 + 188*g**2. Suppose r(m) = 0. Calculate m.
-1, 6
Let m = 919 - 917. Let d(g) be the second derivative of 0*g**m + 1/2*g**4 + 0*g**3 - 6/5*g**6 - 1/2*g**7 - 9/20*g**5 + 0 + 7*g. Factor d(x).
-3*x**2*(x + 1)**2*(7*x - 2)
Factor -14/3*l - 2 - 2/3*l**3 - 10/3*l**2.
-2*(l + 1)**2*(l + 3)/3
Let v(f) be the third derivative of f**6/540 + 4*f**5/135 + f**4/108 - 14*f**3/9 + 68*f**2. Factor v(y).
2*(y - 2)*(y + 3)*(y + 7)/9
Suppose -17 = -3*u - 8. Let v be (2/3)/((-2)/(-9)). Factor -3*n**5 - 7*n**2 + 4*n**3 - 3*n + 0*n**5 + v + n**2 + 3*n**4 + 2*n**u.
-3*(n - 1)**3*(n + 1)**2
Let x(w) be the third derivative of 2*w**7/105 - w**6/15 + w**4/3 - 2*w**3/3 + 6*w**2 - 2. What is v in x(v) = 0?
-1, 1
Let z = 18792/43897 - -3/6271. Determine g, given that 0 - z*g**3 + 0*g**2 + 3/7*g = 0.
-1, 0, 1
What is k in -93/5*k**2 + 12*k + 9*k**3 - 12/5 = 0?
2/5, 2/3, 1
Factor -3*r + 1/3*r**3 + 9 - r**2.
(r - 3)**2*(r + 3)/3
Let m(j) be the second derivative of j**4/24 - 6*j**3 + 324*j**2 - 34*j. What is t in m(t) = 0?
36
Let c = -218/3 + 73. Let n be 32/(-10) + 4 + 39/45. Determine t, given that -c*t**2 + 5/3*t - 2/3 - n*t**3 + t**4 = 0.
-1, 2/3, 1
Let o(p) = p**5 + 54*p**4 + 256*p**3 - 22*p. Let u(b) = 2*b**4 - 2*b. Let h(t) = 2*o(t) - 22*u(t). Factor h(x).
2*x**3*(x + 16)**2
Let f(i) be the second derivative of -i**7/70 + 31*i**6/90 - 17*i**5/6 + 25*i**4/6 - 47*i**3/6 + 41*i. Let w(p) be the second derivative of f(p). Factor w(h).
-4*(h - 5)**2*(3*h - 1)
Suppose -b + 4 = x, -4*b - 2*x = -x - 13. Factor -3*h**b + 186*h**5 - 185*h**5 + 0*h - 11*h**2 - 2*h + 3*h**4 - 4*h.
h*(h - 2)*(h + 1)**2*(h + 3)
Let a be 2/(-18) - (-4928)/126. Let g be 403/a + 2/(-6). Suppose 10 - 3*h**3 - g + 3*h - h**4 - 3*h**2 + 4*h**4 = 0. Calculate h.
-1, 0, 1
Let r(d) be the second derivativ