at 4*p - 9*p**3 + 7*p**m + p**3 = 0.
-2, 0, 2
Let z be 195/(-126) - (-1)/(-2). Let b = -12/7 - z. Factor 0 + 1/3*k - b*k**2.
-k*(k - 1)/3
Let s(i) = 3*i**3 + 6*i**2 + 3*i. Let m(f) = -14*f**3 - 42*f**2 - 4*f**3 - 3*f**3 - 21*f. Let d(a) = 2*m(a) + 15*s(a). Find y, given that d(y) = 0.
-1, 0
Let h(r) be the first derivative of 39*r**4/2 + 62*r**3/3 + 4*r**2 + 2*r + 5. Let o(v) = -77*v**3 - 61*v**2 - 7*v - 1. Let t(d) = 5*h(d) + 6*o(d). Factor t(a).
-2*(2*a + 1)**2*(9*a - 2)
Let j(m) be the third derivative of m**9/20160 - m**7/560 + m**6/120 - m**5/20 - 3*m**2. Let c(h) be the third derivative of j(h). Suppose c(s) = 0. What is s?
-2, 1
Factor 2*l**4 + 4*l - 3*l**3 - l**3 + 2*l**4 - 4*l**2.
4*l*(l - 1)**2*(l + 1)
Factor 1/2*j**4 + 0 - j + 5/2*j**2 - 2*j**3.
j*(j - 2)*(j - 1)**2/2
Suppose -h = -7*h + 12. Factor 0 - h*v**3 - 6/5*v**4 + 2/5*v - 2/5*v**2.
-2*v*(v + 1)**2*(3*v - 1)/5
Let f = 5945/4 + -1494. Let b = f - -8. Let b*k**2 + 0 + 1/2*k**3 + 1/4*k**4 + 0*k = 0. Calculate k.
-1, 0
Let f(q) = -12*q**4 - 6*q**3 - 2*q - 4. Let t(b) be the first derivative of b**5/5 + b**3/3 + b**2/2 - 4. Let z(n) = f(n) + 8*t(n). Let z(g) = 0. Calculate g.
-2, -1, 1/2, 1
Let i(t) be the first derivative of -35*t**6/6 + 9*t**5 - 5*t**4/2 - 22. Solve i(d) = 0 for d.
0, 2/7, 1
Factor 129*z + 9246*z + 750*z**3 - 50*z**4 + 125*z**4 + 3750*z**2 + 9375 + 3*z**5.
3*(z + 5)**5
Let p = -1313/5 - -263. Factor -4/5 + p*s**2 + 2/5*s**4 - 6/5*s**3 + 6/5*s.
2*(s - 2)*(s - 1)**2*(s + 1)/5
Factor 3*y + 1/5*y**3 - 9/5 - 7/5*y**2.
(y - 3)**2*(y - 1)/5
Let w(z) be the first derivative of -2*z**5/15 + 2*z**4/3 - 2*z**3/3 - 4*z**2/3 + 8*z/3 - 2. Let w(t) = 0. What is t?
-1, 1, 2
Let d be (-25)/(-75)*(1 - 1). Factor -3/2*j**2 - 3/2*j + 3/2*j**4 + d + 3/2*j**3.
3*j*(j - 1)*(j + 1)**2/2
Let i(f) be the first derivative of -f**4/4 + f**2/2 + 58. Determine s so that i(s) = 0.
-1, 0, 1
Let 1/2*v**2 + 32 + 8*v = 0. What is v?
-8
Let -2/3*i**3 + 0*i**2 + 0 + 2/3*i = 0. Calculate i.
-1, 0, 1
Suppose 9 = 5*u - 36. Let g = u + -5. Let 0*q**2 - 2/3 + 4/3*q**3 + 2/3*q**g - 4/3*q = 0. Calculate q.
-1, 1
Let w(g) = -g**3 + g. Let i(b) = 16*b**4 + 17*b**3 - 23*b**2 - 8*b - 2. Let m(y) = 2*i(y) - 14*w(y). Find v such that m(v) = 0.
-2, -1/4, 1
Suppose 376*y - 80*y**4 - 20*y**3 + 134*y**4 + 612*y**2 + 398*y**3 + 80 = 0. Calculate y.
-5, -2/3
Let r(j) be the second derivative of -j**6/195 - 3*j**5/130 + 21*j. Find u such that r(u) = 0.
-3, 0
Let a be 2/5 - 48/20. Let u = 5 + a. Factor -3*g**3 - 2 + g**2 - 7*g**2 - 6*g + g**u.
-2*(g + 1)**3
Let z = -44 - -44. Let m(g) be the third derivative of 5/72*g**4 - 1/9*g**3 + z*g - 3*g**2 + 0 - 1/60*g**5. Find j, given that m(j) = 0.
2/3, 1
Let i(f) be the second derivative of -1/5*f**5 + 1/3*f**3 + 1/15*f**6 + 1/21*f**7 + f**2 - 1/3*f**4 + 0 - 4*f. Factor i(t).
2*(t - 1)**2*(t + 1)**3
Let n = -104/5 - -22. Factor 3/5 + 0*d**3 + 3/5*d**4 - n*d**2 + 0*d.
3*(d - 1)**2*(d + 1)**2/5
Factor -8*x**3 - 6*x**3 + 19*x**3 + 3*x - 6*x**3 - 2*x**2.
-x*(x - 1)*(x + 3)
Let w(m) be the second derivative of 1/2*m**3 - 1/10*m**6 - 2*m - 3/20*m**5 + 0*m**2 + 1/4*m**4 + 0. Find f such that w(f) = 0.
-1, 0, 1
Let z(j) = 129*j**3 + 81*j**2 - 21*j - 21. Let h(g) = -13*g**3 - 8*g**2 + 2*g + 2. Let p(t) = -21*h(t) - 2*z(t). Solve p(k) = 0.
-2/5, 0
Let i(j) be the third derivative of 0*j**3 + 1/84*j**4 + 0*j**5 + 0*j + j**2 - 1/420*j**6 + 0. Factor i(m).
-2*m*(m - 1)*(m + 1)/7
Let p(q) = 10*q**3 - 2*q**2 - 10*q + 2. Let i(o) = -9*o**3 + 2*o**2 + 10*o - 1. Let w(l) = -6*i(l) - 5*p(l). What is k in w(k) = 0?
-1, -1/2, 2
Let l(u) be the third derivative of -u**7/1050 - u**6/200 - u**5/100 - u**4/120 - 8*u**2. Factor l(z).
-z*(z + 1)**3/5
Let k(m) be the first derivative of 2*m**3/33 - 16*m**2/11 + 128*m/11 + 3. Factor k(y).
2*(y - 8)**2/11
Find g such that 2/3*g**3 + 0 + 2/3*g**2 - 2/3*g**4 - 2/3*g = 0.
-1, 0, 1
Let o(a) be the third derivative of -a**6/240 - a**5/60 + a**4/16 - 18*a**2. Find x such that o(x) = 0.
-3, 0, 1
Let n(u) = -4*u**5 + 20*u**4 + 4*u**3 - 20*u**2. Let z(v) = -v**5 + 4*v**4 + v**3 - 4*v**2. Let f(l) = -3*n(l) + 16*z(l). Factor f(q).
-4*q**2*(q - 1)**2*(q + 1)
Factor 7/4*w**2 - 3/4*w + 1/4*w**4 - 5/4*w**3 + 0.
w*(w - 3)*(w - 1)**2/4
Let 832/7*p - 544*p**2 + 896*p**3 - 1372*p**5 + 196*p**4 - 64/7 = 0. What is p?
-1, 2/7
Let h(z) be the first derivative of -z**5/270 + z**4/108 + 2*z**3/27 + 7*z**2/2 + 4. Let v(a) be the second derivative of h(a). Suppose v(c) = 0. What is c?
-1, 2
Let p be (-20)/(-42)*54/45. Factor p*y - 4/7*y**3 + 2/7 - 2/7*y**2.
-2*(y - 1)*(y + 1)*(2*y + 1)/7
Let q(x) be the third derivative of -x**8/40320 - x**7/3360 + x**5/60 - 4*x**2. Let j(z) be the third derivative of q(z). Let j(a) = 0. Calculate a.
-3, 0
Let p(i) = i**2 - i. Let u be p(-1). Factor u + 0 - 2 + s**4.
s**4
Suppose 5*a = 6*a + 1, a + 13 = 3*f. Let u(w) be the first derivative of 2 + f*w + 2*w**5 - 3*w**2 - 14/3*w**3 + 3/2*w**4. Determine q so that u(q) = 0.
-1, 2/5, 1
Let w = -661/20 - -137/4. Find b, given that w*b**2 - 6/5 - 16/5*b = 0.
-1/3, 3
Let y = 30 + -30. Let s = 172/405 + -2/81. Factor 2/5*n**2 + y - s*n.
2*n*(n - 1)/5
Let v(a) = 4*a**3 - 2*a**2 + 2*a - 1. Let o be v(1). Suppose o*g - 8 = -g. Factor 3*q**g - 2*q**3 + 5*q**3 - 3*q - 2*q**4 - q**4.
-3*q*(q - 1)**2*(q + 1)
Let o = 38/21 - -6/7. Let -o - 2/3*p**2 - 8/3*p = 0. Calculate p.
-2
Let r(v) be the third derivative of v**5/330 - v**4/33 + v**3/11 + 29*v**2. Let r(k) = 0. What is k?
1, 3
Let n(p) be the third derivative of 0 - 1/15*p**3 + 1/20*p**4 - 1/50*p**5 + 0*p + 1/300*p**6 + 4*p**2. Let n(v) = 0. Calculate v.
1
Let a be (-3)/4*(-8)/(-1). Let h be (a/10)/(2/(-10)). Factor -2*m**h + 7/4*m**2 - 4*m**4 + 0 - 1/4*m.
-m*(m + 1)*(4*m - 1)**2/4
Let s be (126/(-105))/(3/(-5)). Factor 4/3*c**s + 0 + 2/3*c**3 + 2/3*c.
2*c*(c + 1)**2/3
Let a(k) be the third derivative of -k**5/180 + k**4/36 - k**3/18 + 7*k**2. Solve a(p) = 0.
1
Let u(r) = -2*r**2 + 3*r + 5. Let l(j) = -2*j**2 + 2*j + 6. Let x(o) = 3*l(o) - 2*u(o). Find m, given that x(m) = 0.
-2, 2
Let k(p) be the first derivative of -p**6/3 + 6*p**5/5 - p**4 - 4*p**3/3 + 3*p**2 - 2*p - 2. Suppose k(y) = 0. Calculate y.
-1, 1
Let y(u) be the third derivative of -u**7/2520 + u**5/360 - u**3/3 + u**2. Let w(o) be the first derivative of y(o). Find t, given that w(t) = 0.
-1, 0, 1
Suppose -5*s - 22 + 84 = -4*z, -5*z + 5 = 2*s. Factor -s*k**2 + 20*k**2 - 9*k**2 - 1.
(k - 1)*(k + 1)
Let i(u) be the first derivative of -u**6/120 + u**5/30 + u**4/24 - u**3/3 - u**2/2 + 1. Let o(d) be the second derivative of i(d). Factor o(w).
-(w - 2)*(w - 1)*(w + 1)
Factor 0 + 3/4*x**2 - 3/4*x**3 + 3/2*x.
-3*x*(x - 2)*(x + 1)/4
Let r(p) = -p**2 + 4*p - 1. Let u(v) = v**2 - 3*v + 1. Let t(f) = -5*r(f) - 6*u(f). Let x be t(-1). Find l such that -3*l + 2 - 1 - 4*l**2 + x*l = 0.
-1, 1/4
Let b(u) be the third derivative of u**6/240 + u**5/120 - u**4/24 + 10*u**2. Solve b(g) = 0 for g.
-2, 0, 1
Suppose 7*d - 5 = 6*d. Suppose -d*v = -v - 20. Find u, given that -6*u**3 - 2*u**5 + 4*u**4 + 2*u**2 + 0*u**v + 2*u**4 = 0.
0, 1
Let o(j) be the third derivative of 1/6*j**3 + 0*j - 1/60*j**5 + 0 + 2*j**2 + 0*j**4. Factor o(d).
-(d - 1)*(d + 1)
Let r(n) be the second derivative of n**5/120 + n**4/12 + n**3/3 - 3*n**2/2 - 2*n. Let d(l) be the first derivative of r(l). Solve d(f) = 0 for f.
-2
Let k(p) = -p**3 - p**2 - 2*p - 2. Let y be k(-2). Let z be 4/(-6) - (-4)/y. Solve 1/2*h**2 + 0*h + 9/4*h**5 + z - 3*h**4 + 1/4*h**3 = 0.
-1/3, 0, 2/3, 1
Let w(q) be the second derivative of 2*q + 1/3*q**4 - 3/10*q**5 + 0*q**2 + 0 + 0*q**3. Find x, given that w(x) = 0.
0, 2/3
Let k(f) = 3*f**2 + 22*f - 144. Let m(i) = -26*i**2 - 175*i + 1152. Let p(d) = -51*k(d) - 6*m(d). Factor p(n).
3*(n - 12)**2
Factor 0 + 17/3*s**4 - 5/3*s**5 - 7*s**3 - 2/3*s + 11/3*s**2.
-s*(s - 1)**3*(5*s - 2)/3
Let t = -6 + 5. Let y be (-2 - t)/((-3)/4). Solve -j**3 + y*j + 0*j**2 + 0 - 1/3*j**4 = 0 for j.
-2, 0, 1
Factor -48*k - 30*k**3 - 2/5*k**5 - 72/5 - 6*k**4 - 58*k**2.
-2*(k + 1)**3*(k + 6)**2/5
Suppose -14 - 13 = -9*k. Let i(v) be the second derivative of 0*v**k + 0*v**2 - 3*v + 0 - 1/30*v**6 + 0*v**4 + 1/84*v**7 + 1/40*v**5. Factor i(j).
j**3*(j - 1)**2/2
Let d(p) be the first derivative of p**8/840 - p**3/3 - 1. Let n(x) be the third d