 4)**2
Let 0*t + 3/2 + 9/8*t**4 - 21/8*t**2 - 3/8*t**3 + 3/8*t**5 = 0. Calculate t.
-2, -1, 1
Suppose -5*c + 1 = -0*d - 3*d, 4*d - 16 = -2*c. Let i be 0 + (-2)/d - 136/(-51). Factor 8/9 + 2/9*f**i + 8/9*f.
2*(f + 2)**2/9
Let p(s) be the first derivative of 2*s**3/51 - s**2 - 401. Factor p(o).
2*o*(o - 17)/17
Let p(y) be the third derivative of y**5/15 + 5*y**4/2 - 32*y**3/3 - 2*y**2 + 10*y. Solve p(f) = 0.
-16, 1
Let r(i) be the third derivative of i**6/150 + 2*i**5/75 - 4*i**4/15 + 3*i**2 + 5. Suppose r(w) = 0. What is w?
-4, 0, 2
Let w(k) = 3*k**3 - 16*k**2 - 73*k - 86. Let d(i) = -4*i**3 + 16*i**2 + 72*i + 83. Let r(p) = 4*d(p) + 5*w(p). Factor r(b).
-(b + 2)*(b + 7)**2
Suppose -4*r + 20 = 4*p, 4*r = 5*p + 29 - 0. Let j = -1 - -1. Factor 2 + r*q - 2*q**5 + 4*q**2 + 26*q**4 - 4*q**3 + j*q - 32*q**4.
-2*(q - 1)*(q + 1)**4
Let h(j) be the third derivative of j**7/630 + j**6/180 + j**5/180 - 89*j**2 + 2. Factor h(m).
m**2*(m + 1)**2/3
Let v(d) be the first derivative of 5*d**3/3 - 15*d**2 - 35*d + 75. Factor v(k).
5*(k - 7)*(k + 1)
Let y = 8/9 - 2/9. Let d be 1/3*2/1. Suppose -2/3*t**3 - d*t**2 + 2/3*t + y = 0. Calculate t.
-1, 1
Let r(n) = -2*n**3 + 3*n**2 + 11*n - 23. Let m be r(2). Let s be ((-15)/10)/(m/10). Factor -1/2 - 7/4*b**3 + s*b**2 - 3/4*b.
-(b - 1)**2*(7*b + 2)/4
Solve 174*d**2 + 19*d - 7*d - 9*d**3 - 82*d**2 - 3*d**4 - 92*d**2 = 0 for d.
-2, 0, 1
Let x(j) be the first derivative of j**4/3 - 8*j**3/3 + 8*j**2 + 3*j - 2. Let m(t) be the first derivative of x(t). Let m(l) = 0. What is l?
2
Let c(j) be the first derivative of -4*j**3/3 + 14*j**2 - 48*j + 16. Factor c(y).
-4*(y - 4)*(y - 3)
Let l(q) be the second derivative of q**4/6 + 52*q**3/3 + 676*q**2 + q - 10. Factor l(i).
2*(i + 26)**2
Suppose k + 2 = -u, 2*u = -8*k + 4*k - 4. Let v(z) be the second derivative of 9*z + 13/3*z**3 + k + 6*z**2 - 5/6*z**4. Let v(m) = 0. Calculate m.
-2/5, 3
Suppose -5*w + 3 = -2*w. Let a be 20 + 7 - (-3)/1. Determine j so that a*j**2 - 15*j + w - 3*j**5 - 3 + 7 + 15*j**4 - 2 - 30*j**3 = 0.
1
Let s(c) = c**3 - c. Let q(o) = -o**4 + 2*o**3 + 9*o**2 - 10*o. Let t(g) = q(g) - s(g). Factor t(f).
-f*(f - 3)*(f - 1)*(f + 3)
Factor -98/23*v**4 + 0 + 16/23*v + 140/23*v**3 + 104/23*v**2.
-2*v*(v - 2)*(7*v + 2)**2/23
Factor -15/2 + 6*l + 3/2*l**2.
3*(l - 1)*(l + 5)/2
Suppose -7 + 48 = 39*p - 349. Factor 1/2*j**2 + p*j + 50.
(j + 10)**2/2
Factor -1566/7*i - 1682/7 + 114/7*i**2 - 2/7*i**3.
-2*(i - 29)**2*(i + 1)/7
Let p be (-1)/(-12) - (-299)/(-3588). Suppose 0 + 5/2*g**3 + p*g**2 + 0*g**4 - 5/4*g - 5/4*g**5 = 0. What is g?
-1, 0, 1
Solve -50*s**3 - 140*s**3 - 32*s**2 + 151*s**5 + 40*s**3 - 108*s**4 + 24*s - 309*s**5 + 144*s**5 = 0 for s.
-6, -1, 0, 2/7
Let p(o) be the first derivative of 0*o**2 + 1/18*o**4 + 0*o - 1/45*o**5 - 1/27*o**3 + 30. Find h such that p(h) = 0.
0, 1
Let a be -10 + (-13)/(-5304)*4084. Let j(y) be the second derivative of 7*y - a*y**4 + 0 + 0*y**2 + 2/51*y**3. Factor j(w).
-2*w*(w - 2)/17
Let k(n) be the third derivative of -1/72*n**4 + 0*n**3 - 38*n**2 + 0*n + 1/180*n**5 + 0. Find u such that k(u) = 0.
0, 1
Let i(k) be the third derivative of -29791*k**7/1575 + 961*k**6/36 + 899*k**5/75 + 91*k**4/45 + 8*k**3/45 + 2*k**2 - 74*k. Suppose i(y) = 0. What is y?
-2/31, 1
Let l = 76688/5 - 15460. Let s = -122 - l. Factor 4*a + 10 + s*a**2.
2*(a + 5)**2/5
Let w = 1780 - 1777. Suppose 2/5*i**w + 4/5 + 0*i**2 - 6/5*i = 0. Calculate i.
-2, 1
Let f be 34/85 - 2/5. Find g, given that f*g + 9*g - 3*g**3 - 5*g - g**4 = 0.
-2, 0, 1
Let n(w) be the second derivative of 5/72*w**4 - 8*w + 0 + 1/9*w**3 + 1/12*w**2 + 1/60*w**5. Suppose n(b) = 0. Calculate b.
-1, -1/2
Let s(t) be the first derivative of -3*t**4/4 + 7*t**3 - 12*t**2 - 48*t - 282. Determine w, given that s(w) = 0.
-1, 4
Let w(p) be the second derivative of p**6/60 - p**5/20 - p**4/24 + p**3/6 - 23*p. Factor w(a).
a*(a - 2)*(a - 1)*(a + 1)/2
Suppose -p - 22 + 25 = 0. Let l(o) be the second derivative of 0 - 9*o + 1/48*o**4 + 0*o**2 - 1/12*o**p. Factor l(x).
x*(x - 2)/4
Factor -27*q - 9 - 2 - 3*q + 51 + 5*q**2.
5*(q - 4)*(q - 2)
Let f(p) be the first derivative of 6/5*p - 2/5*p**3 + 1/20*p**4 - 1/10*p**2 - 15. Factor f(s).
(s - 6)*(s - 1)*(s + 1)/5
Let k = -11808 - -11812. Determine f so that 2/15*f**k + 0 + 4/15*f - 2/5*f**2 + 0*f**3 = 0.
-2, 0, 1
Let z = 139649/5604 + -4/1401. Let u = z + -89/4. Factor -8/3*j - u - 2/3*j**2.
-2*(j + 2)**2/3
Let k be (-102)/(-170)*2/15. Let b(t) be the first derivative of 4 - 2/5*t - k*t**5 + 0*t**2 + 4/15*t**3 + 0*t**4. Factor b(r).
-2*(r - 1)**2*(r + 1)**2/5
Let t(c) = -15*c**3 - 225*c**2 + 207*c. Let j(k) = k**3 + 14*k**2 - 13*k. Let w(y) = 33*j(y) + 2*t(y). Factor w(x).
3*x*(x - 1)*(x + 5)
Let w(i) = 155*i**3 - 1320*i**2 + 4905*i - 5590. Let d(j) = 7*j**3 - 60*j**2 + 223*j - 254. Let y(v) = -45*d(v) + 2*w(v). Factor y(p).
-5*(p - 5)**2*(p - 2)
Let g = 46 + 471. Find s, given that -513*s**2 + 8*s - 3*s**3 + g*s**2 - 2*s**4 + s**4 + s**3 = 0.
-2, 0, 2
Factor -6*f**3 + 138*f - 271*f + 5*f**4 + 280*f**2 - 267*f - 55*f**3 - 4*f**3.
5*f*(f - 5)*(f - 4)**2
Suppose -w - 12 = -4*w. Let x be (-2 + w)*(-2)/(-7). Let -2/7*m**4 + 2/7 + 0*m**2 - x*m + 4/7*m**3 = 0. What is m?
-1, 1
Let d(v) be the third derivative of -1/24*v**4 + 7*v**2 - 5/6*v**3 + 3/80*v**5 + 0*v - 1/180*v**6 + 0. Let u(j) be the first derivative of d(j). Factor u(r).
-(r - 2)*(4*r - 1)/2
Let a(n) be the first derivative of -5*n**4/4 - 5*n**3/3 + 5*n**2/2 + 5*n - 99. Determine s so that a(s) = 0.
-1, 1
Let c(v) be the third derivative of 19*v**6/12 + 7*v**5/5 - 47*v**4/12 + 2*v**3 + 8*v**2 - 6. Suppose c(r) = 0. Calculate r.
-1, 3/19, 2/5
Suppose -31*b + 11*b = 28*b. Let m(h) be the third derivative of 0 - 3*h**2 + 1/48*h**4 + 0*h + 1/120*h**5 + b*h**3. Solve m(q) = 0 for q.
-1, 0
Let c(n) be the second derivative of -n**7/21 - n**6/5 + n**5/2 + 9*n**4/2 + 32*n**3/3 + 12*n**2 - 12*n. Solve c(q) = 0.
-2, -1, 3
Let m(z) = -36*z**2 + 60*z + 4. Let w(v) = 37*v**2 - 60*v - 4. Let t(n) = 6*m(n) + 5*w(n). Find y such that t(y) = 0.
-2/31, 2
Suppose -4*x - 3*s = -117, -4*s = -4*x - 0*x + 124. Determine w, given that 6 - 265*w**2 + x*w - 9*w + 280*w**2 = 0.
-1, -2/5
Let s(c) be the second derivative of c**6/20 + 3*c**5/40 - 5*c**4/8 + 3*c**3/4 - 52*c. Let s(q) = 0. Calculate q.
-3, 0, 1
Suppose -372*p = -378*p + 18. Factor 1/3*q**p + 5/3*q**4 + 0 + 0*q**2 + 0*q + 4/3*q**5.
q**3*(q + 1)*(4*q + 1)/3
Factor 0 + 36/7*u**2 + 0*u + 24/7*u**3 + 3/7*u**4.
3*u**2*(u + 2)*(u + 6)/7
Let x(m) = -8*m + 87. Let o be x(10). Let f = 7 - o. Solve -8/9*u**3 + f + 2/9*u**2 + 0*u = 0.
0, 1/4
Let w(y) = -2*y**2 - y + 3. Let z(a) be the first derivative of -5*a**3/3 - 3*a**2/2 + 5*a + 10. Let x(k) = -7*w(k) + 4*z(k). Factor x(q).
-(2*q + 1)*(3*q + 1)
What is w in -28/5*w + 4/5*w**2 - 72/5 = 0?
-2, 9
Suppose -39*g = -41*g + 8. Solve -l**4 - 65*l - 4*l**4 + 5*l + 21*l**2 + 2*l**g + 36 + 6*l**3 = 0.
-3, 1, 2
Factor 8*x**2 - 39*x - 57*x**3 + 54*x**3 + 18 + 5*x**2 - x**2 + 12*x**2.
-3*(x - 6)*(x - 1)**2
What is p in -13*p**2 + 8/3*p**3 + 56/3*p - 1/6*p**4 - 49/6 = 0?
1, 7
Let w(j) = -j**2 + 30*j - 198. Let n be w(20). Let x(p) be the first derivative of -8 + 4*p + 2/3*p**3 + 3*p**n. Determine v so that x(v) = 0.
-2, -1
Find j, given that -16*j**2 + 79*j - 3*j**5 - 27*j + 2046 + 7*j**5 - 2070 + 8*j**4 - 24*j**3 = 0.
-3, -2, 1
Let o(f) be the first derivative of f**6/240 - f**5/60 - 7*f**2/2 + 11. Let y(d) be the second derivative of o(d). Determine g so that y(g) = 0.
0, 2
Let w(c) be the third derivative of -c**6/60 - 2*c**5/5 - 11*c**4/12 + 2*c**2 - 29*c. Factor w(f).
-2*f*(f + 1)*(f + 11)
Let t(b) be the first derivative of b**6/120 - b**5/12 + b**4/3 - 2*b**3/3 - b**2/2 + 6. Let m(c) be the second derivative of t(c). Let m(j) = 0. Calculate j.
1, 2
Let h(d) be the first derivative of -9/5*d - 3/5*d**2 + 10 - 1/15*d**3. Find b, given that h(b) = 0.
-3
Let x(u) = -6*u + 2. Let m(o) = -5*o + 3. Let t(l) = -3*m(l) + 4*x(l). Let p be t(-1). Factor 3*n**2 + p + 6 + 8*n + 2 - 2*n**2.
(n + 4)**2
Let f(o) = -43*o**2 - 159*o - 341. Let y(l) = 10*l**2 + 40*l + 85. Let s(r) = 6*f(r) + 26*y(r). Factor s(t).
2*(t + 2)*(t + 41)
Let j(h) be the second derivative of h**5/4 - 15*h**4/4 + 5*h**3 + 40*h**2 + 25*h. Factor j(r).
5*(r - 8)*(r - 2)*(r + 