24 - y**6/40 + y**4/16 + 84*y**2. Factor i(c).
3*c*(c - 1)**2*(c + 1)**2/2
Factor 52/9*j - 2*j**2 + 2/9*j**3 - 16/3.
2*(j - 4)*(j - 3)*(j - 2)/9
Suppose 2*d = 2 + 6. Let p be 0/((-6 + d)/2). Suppose 0*n - 1/3*n**4 + 2/3*n**3 + p - 1/3*n**2 = 0. What is n?
0, 1
Let l(x) be the first derivative of -100*x**3/3 - 98*x**2 + 8*x + 30. Factor l(i).
-4*(i + 2)*(25*i - 1)
Suppose 39/4*b**3 - 3/4*b**4 - 39/4*b + 9 - 33/4*b**2 = 0. What is b?
-1, 1, 12
Let p = 26 - 20. Suppose -2*l + p = a, -6*a - 3*l = -3*a - 12. Determine x so that -66/5*x**a - 4*x - 32/5*x**4 - 2/5 - 16*x**3 = 0.
-1, -1/4
Factor 31/2*j**4 - 283/2*j**3 + 98 + 673/2*j**2 - 1/2*j**5 - 308*j.
-(j - 14)**2*(j - 1)**3/2
Let u(c) be the first derivative of 2*c**5/35 + 31*c**4/7 + 598*c**3/7 - 1984*c**2/7 + 2048*c/7 - 551. Factor u(z).
2*(z - 1)**2*(z + 32)**2/7
Determine a, given that 12 + 22/3*a**2 - 2/15*a**4 - 2/5*a**3 - 94/5*a = 0.
-10, 1, 3
Let f(m) be the first derivative of m**6/3 - 6*m**5/5 - 5*m**4/2 + 2*m**3 + 4*m**2 - 93. Factor f(z).
2*z*(z - 4)*(z - 1)*(z + 1)**2
Let n(h) be the first derivative of -2*h**5/5 + 38*h**4 - 2732*h**3/3 - 2964*h**2 - 3042*h - 256. Let n(t) = 0. What is t?
-1, 39
Suppose 5*y = -3*z + 105, -4*y + 23 + 24 = -5*z. Factor -10*j**2 - 3*j**4 + j**4 - 3*j**4 + 3*j**3 - y*j**3.
-5*j**2*(j + 1)*(j + 2)
Let d(r) be the first derivative of r**5 + 5*r**4/2 - 5*r**2 - 5*r + 33. Factor d(g).
5*(g - 1)*(g + 1)**3
Let t(r) be the second derivative of -r**8/4200 + r**7/525 - 5*r**3/6 - 5*r**2/2 + 20*r. Let z(c) be the second derivative of t(c). Factor z(h).
-2*h**3*(h - 4)/5
Let r = 178 + -175. Let a(t) be the first derivative of 1/15*t**r + 1 + 2/5*t - 3/10*t**2. Determine o, given that a(o) = 0.
1, 2
Let g = 1796173/150 + -11975. Let i = -1/75 - g. Find u such that -1/2*u - 1/8*u**2 - i = 0.
-2
Let n = 8 + -1. Suppose -4*o + 8 = -4*u, 3*o - 3*u + 10 = 4*o. Factor o*d**5 + 5*d - n*d**3 - d**3 - d.
4*d*(d - 1)**2*(d + 1)**2
Let z = -103 + 136. Let d = 167/5 - z. Factor -1/5*i + d - 1/5*i**2.
-(i - 1)*(i + 2)/5
Let r(i) be the second derivative of i**7/24 - i**6/8 + i**5/12 + 17*i**3/6 + 4*i. Let p(y) be the second derivative of r(y). Factor p(c).
5*c*(c - 1)*(7*c - 2)
Let t be 2/(((-1)/1)/(-190)). Let p = t - 2651/7. Factor p - 3/7*z**2 + 6/7*z.
-3*(z - 3)*(z + 1)/7
Let w(j) be the second derivative of j**4/3 - 34*j**3/3 + 120*j**2 + 3*j - 8. Solve w(r) = 0.
5, 12
Let q(a) be the third derivative of -a**10/1285200 + a**8/171360 + a**5/15 + 3*a**2. Let u(l) be the third derivative of q(l). Let u(r) = 0. Calculate r.
-1, 0, 1
Let l be 0 + -1 - (-3 + 2). Let p = -2040/23 + 8183/92. Solve l + 1/4*w**3 + p*w**2 - 1/4*w**4 - 1/4*w = 0.
-1, 0, 1
Factor 44*a - 30 - 3*a**4 + 3*a**4 - 6581*a**3 + 6569*a**3 - 2*a**4.
-2*(a - 1)**2*(a + 3)*(a + 5)
Let b be 1 + (-209)/247 + (-50)/(-13). Let -2/15*z**3 + 0 - 2/15*z**b + 0*z + 0*z**2 = 0. Calculate z.
-1, 0
Let j(m) be the second derivative of -4/5*m**5 - 35*m - 14/3*m**4 + 0 - 2*m**2 + 31/6*m**3. Find y, given that j(y) = 0.
-4, 1/4
Suppose -4*a + y + 6 = 2, 5*y - 20 = 0. Let n(j) be the first derivative of -1/9*j**3 + 5 - 1/6*j**a + 2/3*j. Determine k, given that n(k) = 0.
-2, 1
Let a(r) be the third derivative of r**6/40 + 2*r**5 + 437*r**4/8 + 361*r**3 - 2*r**2 - 339. Factor a(s).
3*(s + 2)*(s + 19)**2
Let f(h) be the third derivative of -h**6/1980 + h**4/132 + 8*h**3/3 + 9*h**2. Let r(l) be the first derivative of f(l). Determine u so that r(u) = 0.
-1, 1
Let l = 1/360 + -1009/360. Let j = -23/10 - l. Determine f, given that 1/2*f + j*f**2 + 0 = 0.
-1, 0
Let t(m) = -m**4 - 12*m**3 - 22*m**2 + 114*m - 49. Let s(d) = -5*d. Let b(h) = 30*s(h) + 5*t(h). Solve b(p) = 0.
-7, 1
Let k(z) be the first derivative of 0*z + 21 + 1/9*z**3 - 1/6*z**4 + 0*z**2 + 1/15*z**5. Determine c so that k(c) = 0.
0, 1
Let s(i) be the third derivative of -3*i**5/20 - 7*i**4/24 - i**3/2 - 23*i**2. Let y(k) = -10*k**2 - 6*k - 2. Let w(l) = 6*s(l) - 5*y(l). Solve w(a) = 0 for a.
-2, -1
Let n be (-3)/1*3*(-8)/378. Let p = n - -5/84. Factor p*o**3 + 0 + 0*o - 1/4*o**2.
o**2*(o - 1)/4
Let g = -31795 - -95386/3. Factor -a**2 + g*a**3 - 1/3*a + 1.
(a - 3)*(a - 1)*(a + 1)/3
Let m(s) = -s + 12. Let f be m(9). Suppose 2 = f*v - 10. Determine b, given that 2*b**2 - 7*b**4 + 0*b**2 - 5*b**2 - 3*b**3 + 10*b**v + 3*b**5 = 0.
-1, 0, 1
Let q(m) be the third derivative of -1/6*m**4 - 4/15*m**5 - 8/105*m**7 + 0*m**3 - 1/5*m**6 - 1/84*m**8 + 0*m + 0 + 3*m**2. Factor q(z).
-4*z*(z + 1)**4
Let v(m) be the first derivative of m**4/8 - m**2/4 - 117. Factor v(f).
f*(f - 1)*(f + 1)/2
Find o such that 0 + 3/7*o - 3/7*o**2 = 0.
0, 1
Let v = 42 - 56. Let k be ((-24)/(-21))/((-3)/v). Solve -98/3*o**4 - k + 136/3*o + 350/3*o**3 - 124*o**2 = 0.
2/7, 1, 2
Let a(h) be the second derivative of h**7/7560 - h**6/2160 - h**4/12 + 2*h. Let g(o) be the third derivative of a(o). What is l in g(l) = 0?
0, 1
Let m(h) be the first derivative of -h**4/4 + 4*h**3 - 89. Find p, given that m(p) = 0.
0, 12
Let z = 48 + -43. Let p(s) be the first derivative of 4 - 2/3*s**3 - 2/25*s**z + 2/5*s**4 + 0*s + 2/5*s**2. Solve p(i) = 0.
0, 1, 2
Suppose 1816*c - 45125 + 0*c**2 - 7*c**2 + 2*c**2 - 3776*c + 2910*c = 0. Calculate c.
95
Let l(s) be the first derivative of -s**4/20 - 2*s**3/5 + 3*s**2/2 + 20*s - 130. Factor l(w).
-(w - 4)*(w + 5)**2/5
Let t be (-4)/(-15)*(-6 - -16). Let v = t + -4/3. Solve -8/3*j - 8/3 + v*j**3 - 2/3*j**4 + 2*j**2 = 0 for j.
-1, 2
Let k be (-6)/(-9) - -2*(-2)/(-4). Let z = 218 + -216. Find q such that -5*q**z - 2/3*q**3 - 4/3*q + 4/3 + k*q**4 = 0.
-1, 2/5, 2
Let z(l) = 8 - l**2 - 2*l + 10*l - l. Let h = 1370 + -1381. Let j(i) = -2*i**2 + 13*i + 15. Let t(c) = h*z(c) + 6*j(c). Suppose t(w) = 0. What is w?
-1, 2
Factor -33*g**2 + 28*g + 0*g + 4*g**3 - 2*g**3 + 9*g**2 - 20 + 14*g.
2*(g - 10)*(g - 1)**2
Let q(r) be the second derivative of -1/147*r**7 + 0*r**3 + 1/70*r**5 + 11*r - 1/14*r**4 + 1/35*r**6 + 0*r**2 + 0. Let q(x) = 0. What is x?
-1, 0, 1, 3
Let b(x) be the second derivative of 2*x**6/15 - 6*x**5/5 + 5*x**4/3 - 37*x. Suppose b(p) = 0. What is p?
0, 1, 5
Let h = -288 - -284. Let k be h/22 + (-1)/(-11)*2. Factor 2/7*o - 6/7*o**2 + k + 6/7*o**3 - 2/7*o**4.
-2*o*(o - 1)**3/7
Let k(h) be the third derivative of h**7/294 + 31*h**6/420 + 79*h**5/420 + 11*h**4/84 - 62*h**2. Factor k(v).
v*(v + 1)*(v + 11)*(5*v + 2)/7
Let w(m) be the third derivative of -m**5/420 - 271*m**4/84 - 73441*m**3/42 - 862*m**2. Solve w(t) = 0 for t.
-271
Let k(o) be the third derivative of -1/16*o**4 - 6*o**2 + 1/4*o**3 + 0*o + 1/80*o**6 - 1/40*o**5 + 0. Factor k(i).
3*(i - 1)**2*(i + 1)/2
Suppose -4*w - 11 = -7*w - h, -8 = -3*w - 4*h. Factor 17 - w - n**2 - 7 - 5.
-(n - 1)*(n + 1)
Let i(l) be the third derivative of -5*l**8/336 + 5*l**7/14 - 21*l**6/8 + 49*l**5/12 - 32*l**2 - l. Suppose i(b) = 0. What is b?
0, 1, 7
Let t(b) be the second derivative of -3*b**5/20 + b**4/4 + 3*b**3 + b + 75. Find w, given that t(w) = 0.
-2, 0, 3
Let f(h) be the third derivative of -21*h**2 - 2/3*h**3 - 1/3*h**4 - 1/15*h**5 + 0 + 0*h. Solve f(y) = 0.
-1
Let g(d) be the third derivative of -d**5/480 + 13*d**4/96 - 23*d**3/16 - 21*d**2 - 6. Factor g(r).
-(r - 23)*(r - 3)/8
Factor 222*x - 90*x**2 - 92*x + 50*x**3 - 5 - 82*x - 3.
2*(x - 1)*(5*x - 2)**2
Let u(n) be the second derivative of n**5/45 - n**4/9 - 8*n**3/27 + 28*n + 1. Solve u(q) = 0.
-1, 0, 4
Let p = 3 - 1. Suppose y + 4*y - 23 = -p*h, 4*y - 5*h = 25. Find b, given that -2*b**5 - 3*b + b**y + 3*b = 0.
0
Suppose 3*m - 20 = -5*n + 5*m, 0 = n + 5*m + 23. Let s(z) be the first derivative of 2*z**2 + 9*z + z**3 - 17 + 4*z**n + 13. Find v, given that s(v) = 0.
-3, -1
Let q be 20 - -13*754/(-507). Factor -2/3*d**3 + 2/3*d + q*d**2 - 2/3.
-2*(d - 1)**2*(d + 1)/3
Let j = -8/79 + 119/395. Let y = -26 + 28. Solve -1/5*c**y + j*c + 0 = 0 for c.
0, 1
Let 3*c + 10*c - c**3 + 7*c**2 - 18*c + 23*c = 0. Calculate c.
-2, 0, 9
Let o = 261 + -1800. Let w = -7669/5 - o. Factor 4/5*z**2 + 0 + 0*z - 18/5*z**5 - w*z**3 + 48/5*z**4.
-2*z**2*(z - 2)*(3*z - 1)**2/5
Let t(o) be the second derivative of -o**5/100 + o**4/60 + o**3/5 - 279*o. Suppose t(x) = 0. What is x?
-2, 0, 3
Let v(n) be the second derivative of 49*n**4/60 - 14*n**3 + 90*n**2 + n - 39. Let v(h) = 0. What is h?
30/7
Suppose -l