*m - 3*o**4 - o**4 + 5*o - 4*o + 3*o**4 - o**3 = 0.
-1, 0, 1
Let j(p) = 2*p**3 - 6*p**2 - 3*p - 8. Let z be j(4). Factor -5*f**3 - 6*f + 11*f - f**4 - 11*f**2 + z*f**3.
-f*(f - 5)*(f - 1)**2
Let l(g) = g - 5*g - 4 - 3*g**2 + g**2. Let c(n) = -n - 1. Let p be 5 + -1 + (-13 - -5). Let r(w) = p*c(w) - l(w). Factor r(i).
2*(i + 2)**2
Let u be -8 + 10 + (-65)/(-52). Suppose -u*h**2 - 9/4*h**3 + 9/4*h + 1/2 + 11/4*h**4 = 0. Calculate h.
-1, -2/11, 1
Let n(m) be the first derivative of 1/11*m**6 - 2/11*m**2 + 9 + 3/22*m**4 - 2/11*m**3 + 14/55*m**5 + 0*m. Suppose n(i) = 0. Calculate i.
-1, 0, 2/3
Let b(m) = -39*m**2 + 91*m + 22. Let j(r) = -38*r**2 + 92*r + 24. Let w(v) = -3*b(v) + 4*j(v). Solve w(k) = 0.
-2/7, 3
Let f(p) be the first derivative of p**5/35 + 8*p**4/7 + 20*p**3/7 + 324. Factor f(o).
o**2*(o + 2)*(o + 30)/7
Let q = -54669/11 + 4971. Solve 2*m**3 - 8/11*m + 0 - 18/11*m**5 + q*m**4 - 8/11*m**2 = 0.
-2/3, 0, 1
Let w(f) be the second derivative of 4*f**6/45 + 3*f**5/10 - 13*f**4/9 + f**3 + 4*f**2/3 - 11*f + 2. Suppose w(o) = 0. What is o?
-4, -1/4, 1
Let 1707*o + 175*o**3 - 170*o**3 - 2420 - 225*o**2 + 933*o = 0. What is o?
1, 22
Let u(q) be the first derivative of q**6/48 + 43*q**5/40 - 135*q**4/32 + 137*q**3/24 - 23*q**2/8 + 444. Let u(a) = 0. Calculate a.
-46, 0, 1
Let m(c) be the third derivative of c**5/45 - 19*c**4/9 + 722*c**3/9 - 162*c**2 - 2*c. What is a in m(a) = 0?
19
Let z(t) be the first derivative of -2*t**3/15 - 44*t**2 - 4840*t - 155. Determine m so that z(m) = 0.
-110
Let a(t) be the second derivative of -t**4/4 - 48*t**3 - 3456*t**2 + 164*t. Factor a(x).
-3*(x + 48)**2
Factor 13/4 - 1/4*y**4 - 19/2*y - 5/2*y**3 + 9*y**2.
-(y - 1)**3*(y + 13)/4
Let g(w) be the third derivative of -w**7/140 + 3*w**6/160 + w**5/40 + 8*w**2 - 4*w. Let g(q) = 0. Calculate q.
-1/2, 0, 2
Let a(r) = r + 5. Let g be a(-3). Factor -217*i + 201*i - 10*i**2 + 0*i**g - 6.
-2*(i + 1)*(5*i + 3)
Let b(g) be the first derivative of 5*g**3/3 + 75*g**2/2 + 180*g + 314. Factor b(z).
5*(z + 3)*(z + 12)
Factor -19/4*g + 13/2*g**2 + 1/4*g**4 + 1/4*g**5 + 5/4 - 7/2*g**3.
(g - 1)**4*(g + 5)/4
What is h in 9*h**3 + 368 + 135*h**2 - 116 - 800*h**2 - 384*h + 44*h**2 + 6*h**3 = 0?
-1, 2/5, 42
Let s(a) = -a**4 - 5*a**3 + a**2 - 24*a**3 + 4*a + 25*a. Let r(g) = -15*g**3 + 15*g. Let n(i) = 5*r(i) - 3*s(i). Factor n(v).
3*v*(v - 1)*(v + 1)*(v + 4)
Let u(l) = -48*l**2 - 15*l**3 - l**4 - 15 + 3*l - 18*l - 2*l**4. Let c(s) = -s**4 - 4*s**3 - 12*s**2 - 4*s - 4. Let h(b) = 15*c(b) - 4*u(b). Factor h(f).
-3*f**2*(f - 2)*(f + 2)
Let d(m) be the second derivative of m**6/30 - 4*m**5/15 + 5*m**4/6 - 4*m**3/3 + 7*m**2/2 - 14*m. Let r(l) be the first derivative of d(l). Factor r(b).
4*(b - 2)*(b - 1)**2
Let w = 1180/483 - 100582/70035. Let q = w + -6/29. Find z, given that -14/5*z**2 + 2/5*z**5 + 18/5*z**3 + q*z - 2*z**4 + 0 = 0.
0, 1, 2
Let g(a) be the first derivative of -a**6/12 + 11*a**4/8 + 3*a**3 + 2*a**2 - 233. What is w in g(w) = 0?
-2, -1, 0, 4
Let f(h) be the second derivative of -h**5/90 - h**4/36 - 3*h**2/2 - 5*h. Let l(r) be the first derivative of f(r). Factor l(k).
-2*k*(k + 1)/3
Suppose 2*h = -w - 0*w + 20, 2*w - 32 = -3*h. Let l be ((-54)/6 + h)*(-2)/6. Find z such that -l*z**2 + 1/3*z + 0 = 0.
0, 1
Suppose -4*d + 11*d = 3*d. Factor 0 + 1/2*q**5 + q**2 + d*q**3 - q**4 - 1/2*q.
q*(q - 1)**3*(q + 1)/2
Let z be -6*(((-495)/10)/(-9) + -5) - -6. Factor 0*y - 1/6*y**5 - 1/3*y**4 + 0 + 0*y**2 - 1/6*y**z.
-y**3*(y + 1)**2/6
Let w(g) = -g**3 + 15*g**2 - g - 8. Let y be w(15). Let a = 26 + y. Solve -23*j**2 - j**2 + 6*j - a*j**2 + 21*j**3 = 0.
0, 2/7, 1
Solve -5*t**3 - 8*t**2 + 20*t**3 + 9*t**3 - 36*t - 8 + 16*t**4 + 12*t**3 = 0 for t.
-2, -1, -1/4, 1
Let j(w) be the third derivative of w**5/150 + 7*w**4/15 + 196*w**3/15 - 10*w**2. Factor j(f).
2*(f + 14)**2/5
Let s(w) be the third derivative of w**6/40 - 3*w**5/20 + w**4/4 + 59*w**2 - 2. Suppose s(p) = 0. What is p?
0, 1, 2
Let u be (-1)/11*2 - 288/(-495). Let w(b) be the second derivative of 0*b**3 - 2/15*b**6 - 1/3*b**4 - u*b**5 - 8*b + 0 + 0*b**2. Factor w(n).
-4*n**2*(n + 1)**2
Let c(a) be the first derivative of 2*a**7/21 + 2*a**6/15 - 2*a**5/5 - 35*a - 20. Let i(s) be the first derivative of c(s). Solve i(x) = 0 for x.
-2, 0, 1
Let b be (-35)/(9 - 4) - -15. Let z(q) be the first derivative of 2/3*q**2 + 2/9*q**3 + 0*q + b. Solve z(t) = 0.
-2, 0
Let j(a) = -5*a**2 + 5*a + 10. Let f(h) = h + 1. Let d(k) = -6*f(k) + j(k). Let r(x) = x**2 + x. Let o(s) = 2*d(s) + 6*r(s). Factor o(u).
-4*(u - 2)*(u + 1)
Let s(m) be the first derivative of 8 + 9/2*m**2 - m**3 + 12*m. Solve s(o) = 0.
-1, 4
Let t(r) = r + 6. Let s(q) = q + 7. Let i(c) = -5*s(c) + 6*t(c). Let u be i(1). Factor -2*y**4 - 35*y**3 + 23*y**3 - 4*y**u - 4*y**5 - 10*y**4.
-4*y**2*(y + 1)**3
Let t(l) be the first derivative of -1/12*l**2 + 1/24*l**4 + 5 + 0*l + 2/9*l**3 - 2/15*l**5. Determine s so that t(s) = 0.
-1, 0, 1/4, 1
Let w be (-420)/90*(-6)/(-4) + 9. Determine b, given that -1/4*b**w - 3/4*b + 0 = 0.
-3, 0
Let y(z) be the second derivative of z**4/6 - 4*z**3/3 + 3*z**2 - z - 9. Factor y(s).
2*(s - 3)*(s - 1)
Let l(f) = 11*f**5 + 2*f**3 + 6*f**2 - 7*f + 6. Let h(z) = 9*z**5 + 2*z**3 + 5*z**2 - 6*z + 5. Let w(u) = -6*h(u) + 5*l(u). Factor w(b).
b*(b - 1)**2*(b + 1)**2
Factor -6/5*j**2 + 2/5*j**3 - 32/5*j - 24/5.
2*(j - 6)*(j + 1)*(j + 2)/5
Let y be (-2)/(-36)*-3 + 25/6. Factor 20 + 2*z + 5*z**2 - 35 + y*z + 4*z.
5*(z - 1)*(z + 3)
Let n = -1615 - -436051/270. Let i(l) be the third derivative of 0 - n*l**5 + 0*l + 3*l**2 + 1/54*l**4 - 1/27*l**3. Factor i(k).
-2*(k - 1)**2/9
Suppose -3*o = o - 24. Let c(l) = -l**2 + 5*l + 9. Let b be c(o). Factor -3*a**2 + b*a**5 + 0*a**5 + 3*a**4 - 3*a**3 + 0*a**2.
3*a**2*(a - 1)*(a + 1)**2
Factor 0 + 26/7*v + 54/7*v**2 + 4/7*v**3.
2*v*(v + 13)*(2*v + 1)/7
Let z be (100/(-28))/(36/(-21)). Let o = z + -3/4. What is h in 1/3*h**2 + o*h + 4/3 = 0?
-2
Let h be (-8 + 2)/((-3)/1). Determine l so that 8*l**2 + 60*l**4 - 64*l**4 + 6*l**3 - 2*l**5 - 10*l + h*l = 0.
-2, 0, 1
Let o(g) be the first derivative of -2*g**4 - 36*g**3 - 1291*g**2/2 - 5179*g - 6. Let k(i) = -i**3 + i + 1. Let l(n) = 5*k(n) - o(n). Solve l(x) = 0.
-12
Suppose 3*g = 4*u + 2*g - 9, -5*u - 4*g + 27 = 0. Let q(j) be the third derivative of 2*j**2 + 0 - 3/20*j**5 + 1/4*j**4 + 0*j + 0*j**u + 1/40*j**6. Factor q(s).
3*s*(s - 2)*(s - 1)
Let w be (-1 - 3)*2/4*1. Let v be 0*(0 - w/(-10)). Factor 0*t**2 + 2/17*t**5 - 6/17*t**4 + 0 + 0*t + v*t**3.
2*t**4*(t - 3)/17
Let f(q) be the first derivative of -9*q**5/160 + 7*q**3/48 + q**2/8 - 33*q + 6. Let t(y) be the first derivative of f(y). Factor t(i).
-(i - 1)*(3*i + 1)*(3*i + 2)/8
Let a(t) = t**4 - t**2 + t - 1. Let u(d) = -5*d**4 - d**3 + 9*d**2 - 7*d + 4. Let m(g) = 4*a(g) + u(g). Solve m(v) = 0 for v.
-3, 0, 1
Let k(h) = -h + 9. Let q be k(5). Factor 2*u**2 - q*u**2 - 12 - 8*u + 4.
-2*(u + 2)**2
Let g be ((-2)/(-4))/((-245)/(-196)). Solve -4/5*s**2 + g*s - 2/5*s**3 + 4/5 = 0.
-2, -1, 1
Let c = 1065/4 + -531/2. Factor 3/2*h**2 - 3/2 - 3/4*h**3 + c*h.
-3*(h - 2)*(h - 1)*(h + 1)/4
Let m(y) be the first derivative of -y**4/16 - 13*y**3/12 - 13*y**2/4 + 10*y - 452. Find r, given that m(r) = 0.
-10, -4, 1
Let b(p) be the first derivative of p**5/5 - 11*p**4/4 + 40*p**3/3 - 24*p**2 - 58. Let b(x) = 0. Calculate x.
0, 3, 4
Let c(l) be the third derivative of -11*l**8/84 + 62*l**7/105 - 9*l**6/10 + l**5/3 + l**4/3 - 6*l**2 + 11*l. Factor c(n).
-4*n*(n - 1)**3*(11*n + 2)
Let z(f) be the third derivative of f**9/141120 - f**8/15680 + f**7/3920 - f**6/1680 + 13*f**5/60 - f**2. Let t(q) be the third derivative of z(q). Factor t(v).
3*(v - 1)**3/7
Let k(c) be the first derivative of -c**6/600 - c**5/200 + c**4/20 + 10*c**3/3 + 10. Let b(u) be the third derivative of k(u). Solve b(n) = 0.
-2, 1
Suppose 67 = 5*x - 3*x + 3*j, 3*x - 81 = 2*j. Let g be x - (3 - 2) - 2/(-3). Suppose 20*s**3 - 14/3*s**4 - 8/3 - g*s**2 + 16*s = 0. What is s?
2/7, 1, 2
Let p(k) be the third derivative of -k**7/3360 - k**6/180 - 13*k**5/480 - k**4/16 + 2*k**3/3 - 20*k**2. Let a(n) be the first derivative of p(n). Factor a(y).
-(y + 1)**2*(y + 6)/4
Suppose 3*v + o - 638 = 5*o, 217 = v + 3*o. Suppose -12 = -2*h + 138. Factor v - 375*j + h*j**2 + 411 - 3*j**3 - 2*