.
5*(p + 44)**3
Let z = 12081 - 12079. Suppose 3/4*w**4 + 0 + 6*w**z + 15/4*w**3 + 3*w = 0. Calculate w.
-2, -1, 0
Let n(j) = -10*j + 14. Let t be n(5). Let s be ((-2)/(-18))/((-6)/t). What is w in 2/3 + 4/3*w + s*w**2 = 0?
-1
Let o = -3065 - -122601/40. Let r(g) be the second derivative of -1/4*g**3 + o*g**5 + 0 - 8*g + 1/2*g**2 + 0*g**4. Solve r(x) = 0 for x.
-2, 1
Let h be 7/2*(-1875)/(-175). Let t = h + -37. Let j + t*j**2 + 1/2 = 0. Calculate j.
-1
Let h(n) be the third derivative of 4/3*n**3 + 0 + 0*n + 1/15*n**5 + 23*n**2 + 1/2*n**4. Factor h(i).
4*(i + 1)*(i + 2)
Solve 500/3 - 21290/3*q**3 + 9485/3*q**4 + 1300/3*q - 980/3*q**5 - 8455/3*q**2 = 0.
-2/7, 1/4, 5
Let o(n) be the second derivative of n**6/45 - n**5/10 + 4*n**3/9 + 7*n - 1. Factor o(s).
2*s*(s - 2)**2*(s + 1)/3
Let i(m) = -m**2 + 1413*m - 4230. Let d be i(3). Determine q so that 0*q**4 + 2/17*q**3 + 0*q**2 + 0 - 2/17*q**5 + d*q = 0.
-1, 0, 1
Suppose 4*c - u - 14 = 0, -2*c + 80 - 74 = -u. Factor 5/4 + 5/2*j - 5/4*j**c + 0*j**2 - 5/2*j**3.
-5*(j - 1)*(j + 1)**3/4
Let t = -77 + 80. Suppose 5*j**2 - 8 + 66 + 37*j + 22 + t*j = 0. Calculate j.
-4
Let y(b) be the first derivative of 2*b**3/11 - 67*b**2/11 + 128*b/11 - 91. What is m in y(m) = 0?
1, 64/3
Let s(d) = -7*d**4 - 11*d**3 + 13*d**2. Let w(b) = -10*b**4 - 17*b**3 + 20*b**2. Let f(y) = 7*s(y) - 5*w(y). Solve f(p) = 0 for p.
-9, 0, 1
Suppose -15*i + 13*i + 167 = 3*h, -5*h + 2*i + 241 = 0. Solve 60*x**5 - 96/5*x - 12/5 - 177/5*x**3 - h*x**2 + 48*x**4 = 0 for x.
-1/2, -2/5, 1
Let a(d) be the second derivative of 0 + 1/14*d**3 + 0*d**2 - 1/28*d**4 - 14*d. Factor a(o).
-3*o*(o - 1)/7
Suppose q = 8*q - 14. Let 23*l + 4*l**5 - 37*l + 8*l**q + 26*l - 8 - 16*l**3 = 0. What is l?
-2, -1, 1
Let i(o) be the first derivative of -7*o**6/45 + 8*o**5/25 + 16*o**4/15 - 32*o**3/15 - 16*o**2/15 + 74. Let i(y) = 0. What is y?
-2, -2/7, 0, 2
Suppose -2*c = 4*l + l - 14, 0 = -l + c. Suppose -4*w + 16 = -l*m, 3*m + 2*w + 14 = 6*w. Find i, given that 4*i - 3 - 1 + 3 - 2*i**m - 1 = 0.
1
Suppose -44 = -2*r + 3*l, 0*r + 4*l - 156 = -5*r. Let x = 30 - r. Find y such that 14 + 2*y**2 + 2*y**x + 8*y - 2 - 24*y = 0.
1, 3
Let n be (13/((-286)/32))/(22/(-44)). Factor -146/11*g**2 - 18/11 - 84/11*g - n*g**4 - 112/11*g**3.
-2*(g + 1)**2*(4*g + 3)**2/11
Suppose -8/21*s**2 + 32/21 - 2/21*s**3 + 8/21*s = 0. What is s?
-4, -2, 2
Factor 6*m**3 - 6*m**3 - 4*m**3 + 320 + 16*m + 5*m**3 - 2*m**3 - 11*m**2.
-(m - 5)*(m + 8)**2
Let q = -16 - -20. Factor -31*t**4 + 10 + 36*t**q + 5*t - 5*t**3 - 11*t**2 - 4*t**2.
5*(t - 2)*(t - 1)*(t + 1)**2
Let c = -12 - -33. Let g be (15 - c)/((-8)/1). Factor 0*t + g*t**4 - 3/2*t**2 + 3/4 + 0*t**3.
3*(t - 1)**2*(t + 1)**2/4
Let a = 8 - 4. Suppose a*s = 7*s - 9. Factor -2 - 1 + 0 - 9*o**2 + 9*o + s*o**3 + 0.
3*(o - 1)**3
Let i(z) be the third derivative of -1/2*z**4 + 1/40*z**6 - 51*z**2 + 1/20*z**5 + 0 - 2*z**3 + 0*z. Let i(h) = 0. What is h?
-2, -1, 2
Let c be 8 + (-183)/21 + -15*4/(-20). Solve 0 + 4/7*t**3 - 16/7*t - c*t**2 + 4/7*t**4 = 0 for t.
-2, -1, 0, 2
Let i(l) be the second derivative of 0 + 16*l - 5/12*l**4 + 0*l**2 + 0*l**3. What is f in i(f) = 0?
0
Let b(o) be the third derivative of 0 - 8/3*o**3 + 43*o**2 + 0*o + 1/15*o**5 + 1/2*o**4. Determine c so that b(c) = 0.
-4, 1
Let y = -1085 + 1085. Factor 0*p**3 + 0*p**2 + 0 - 2/13*p**4 + y*p.
-2*p**4/13
Suppose 494 - 61*g - 321 + 5*g**5 + 9*g**2 - 429*g - 175*g**4 - 154*g**2 + 147 + 485*g**3 = 0. What is g?
-1, 1, 2, 32
Factor 7 - 24*q**4 - 27 + 16*q**3 + 9 + 11 + 4*q**5 - 20*q + 24*q**2.
4*q*(q - 5)*(q - 1)**2*(q + 1)
Let t(j) = -j**4 - 9*j**3 - 5*j. Let s(a) = 2*a**4 + 26*a**3 + 14*a. Let y(z) = -5*s(z) - 14*t(z). Suppose y(v) = 0. Calculate v.
0, 1
Suppose 1396*x**2 - 2802*x**2 + 1405*x**2 + 60*x - 216*x - 155 = 0. Calculate x.
-155, -1
Let t(k) = -5*k - 80. Let f be t(-16). Let y(q) be the first derivative of -1/4*q**2 - 1/3*q**3 - 1/8*q**4 + f*q - 4. Suppose y(u) = 0. What is u?
-1, 0
Let t(l) be the third derivative of -l**7/315 + l**6/60 - l**5/30 + l**4/36 - 109*l**2. Factor t(a).
-2*a*(a - 1)**3/3
Let m(q) = -q**2 + 60*q + 837. Let g(b) = 3*b**2 - 121*b - 1672. Let a(u) = -6*g(u) - 15*m(u). Factor a(p).
-3*(p + 29)**2
Suppose 4*t + 5*a = 20, 4*t - 15 = t - a. Let i(g) be the second derivative of 0*g**2 - 3/20*g**t - 3*g + 0 + 0*g**4 + 0*g**3. Factor i(x).
-3*x**3
Factor -2*w - 72*w**3 + 70*w**2 - 9 + 1 + 8*w + 4.
-2*(w - 1)*(4*w + 1)*(9*w - 2)
Let m(d) be the third derivative of d**8/16800 - d**7/2800 - 4*d**3/3 + 19*d**2. Let p(b) be the first derivative of m(b). What is g in p(g) = 0?
0, 3
Let b(q) = -2*q**2 - 3*q + 3. Let l = 3 - 0. Let a be 1 + l/((-12)/28). Let t(n) = 22*n**2 + 34*n - 34. Let c(x) = a*t(x) - 68*b(x). Factor c(s).
4*s**2
Suppose 5*t + f - 8 = 0, 0*t - 3*t = -f - 8. Let j(k) be the first derivative of 0*k + 0*k**t - 5 - 2/3*k**3. Determine q so that j(q) = 0.
0
Let q(y) be the first derivative of y**4 + 12*y + 0*y**3 + 8*y - 14 - 4*y - 4*y**3. Factor q(k).
4*(k - 2)**2*(k + 1)
Let l be 8 - (-1 - -3)/(-2). Let l*y + 3*y**3 - 4*y**3 - 7*y + y**2 = 0. What is y?
-1, 0, 2
Determine n so that -66*n**3 - 125*n**5 + 20*n**4 + 80*n**2 - 17*n - 8*n + 123*n**5 - 7*n = 0.
0, 1, 4
Suppose 2*d - 4*l - 48 = 0, 81 = 4*d - l - 29. Let y be 49/14*2/d. Factor -y*g**2 + g - 1.
-(g - 2)**2/4
Let z be 2/(-6)*0/(-3). Suppose c + 1 - 3 = z. Find u such that 4*u**c + 2 - u**3 + 0*u**3 + 3*u + 2*u + 2*u**3 = 0.
-2, -1
Let c(r) be the second derivative of -r**7/1512 + r**6/144 + 4*r**4/3 + r. Let w(o) be the third derivative of c(o). What is x in w(x) = 0?
0, 3
Let k(z) = 4*z**2 + 26*z. Let y(v) be the first derivative of -8*v**3/3 - 25*v**2 - 11. Let l(r) = 5*k(r) + 3*y(r). Factor l(n).
-4*n*(n + 5)
Factor -3*w**3 + 246 - 48*w**2 + 52*w + 32*w + 6*w**3 - 246.
3*w*(w - 14)*(w - 2)
Suppose 2*j - 40 = -3*j - 4*s, 5*s - 35 = -5*j. Suppose 4*t - j = -0*t. Suppose 0*h**t + 6/5*h**2 - 3/5 - 3/5*h**4 + 0*h = 0. What is h?
-1, 1
Let c(i) be the third derivative of i**7/350 - i**6/50 - i**5/20 + 48*i**2. Determine o, given that c(o) = 0.
-1, 0, 5
Suppose -4*u + 5*u = 0, 1 = -p + 4*u. Let d(c) = 6*c**3 + 30*c**2 - 84*c - 9. Let x(v) = v**3 - v - 1. Let h(g) = p*d(g) + 9*x(g). Determine w so that h(w) = 0.
0, 5
Let z(s) be the second derivative of s**8/1120 + 3*s**7/560 - s**6/240 - 3*s**5/80 + 25*s**3/6 + 3*s. Let o(v) be the second derivative of z(v). Factor o(p).
3*p*(p - 1)*(p + 1)*(p + 3)/2
Suppose 3*v + 10 = 109. Let m be 5 + -3 - v/(-63)*-3. Find u such that -3/7*u + 0 + m*u**2 = 0.
0, 1
Let t(y) = -11*y**4 + 19*y**3 + 8*y**2 - 41*y + 39. Let j(s) = -6*s**4 + 10*s**3 + 4*s**2 - 20*s + 20. Let p(h) = 7*j(h) - 4*t(h). Solve p(u) = 0 for u.
-2, 1, 2
Let x(p) be the first derivative of 2*p**4/7 - 188*p**3/7 + 6627*p**2/7 - 103823*p/7 - 69. Suppose x(r) = 0. What is r?
47/2
Let v be 2*3/9*8/144. Let z(l) be the second derivative of 3*l + 1/54*l**4 - 1/90*l**5 + v*l**3 - 1/9*l**2 + 0. Solve z(f) = 0 for f.
-1, 1
Let r(h) be the third derivative of 0*h + 9*h**2 + 0*h**3 - 1/240*h**6 - 1/24*h**4 + 1/40*h**5 + 0. Let r(y) = 0. Calculate y.
0, 1, 2
Let t(v) be the second derivative of -v**7/14 + 33*v**5/20 - 3*v**4/2 - 14*v**3 + 36*v**2 - 167*v. Determine c so that t(c) = 0.
-3, -2, 1, 2
Let t(x) = x**2 - 2*x - 8. Let z be t(4). Let l(n) be the first derivative of 0*n**2 - 3/5*n**5 + 0*n**4 + n**3 + z*n + 1. Factor l(g).
-3*g**2*(g - 1)*(g + 1)
Let i(s) be the third derivative of -s**8/112 - 9*s**7/70 - 13*s**6/20 - 17*s**5/10 - 21*s**4/8 - 5*s**3/2 - 45*s**2. Find r, given that i(r) = 0.
-5, -1
Find k, given that -48/19 - 68/19*k + 2/19*k**3 - 18/19*k**2 = 0.
-2, -1, 12
Let b(d) = d**2 - 88*d + 1928. Let q(h) = -4*h**2 + 352*h - 7708. Let i(k) = 9*b(k) + 2*q(k). Solve i(a) = 0 for a.
44
Let l(i) be the second derivative of 1/57*i**3 - 1/285*i**6 - 1/190*i**5 - i + 0*i**2 + 0 + 1/114*i**4. Let l(k) = 0. What is k?
-1, 0, 1
Let p(b) be the first derivative of -25*b**6/6 + 36*b**5 - 61*b**4 - 96*b**3 - 32*b**2 - 120. Factor p(k).
-k*(k - 4)**2*(5*k + 2)**2
What is r in -2/19*r**2 - 26/19*r**3 + 2/19*r**5 + 2/19*r**4 + 96/19*r - 72/19 = 0?
-3, 1, 2
Let l(h) be the second derivative of h**7/63 - h**5/15 + h**3/9 + 2*h - 15. Factor l(q).
2*q*(q - 1)**2*(q + 1)**2/3
Factor 0 - 80/3*w**2 - 32/