s + 1/3*i**4.
(i - 3)*(i - 1)**2*(i + 1)/3
Let h(u) be the third derivative of -u**5/140 - u**4/8 + 4*u**3/7 - 70*u**2. Factor h(t).
-3*(t - 1)*(t + 8)/7
Let v(s) = -4*s**3 - 4*s**2 + 6*s + 9. Let o(f) = f**3 + f**2 + f. Let m(y) = 15*o(y) + 5*v(y). Factor m(a).
-5*(a - 3)*(a + 1)*(a + 3)
Let o(p) be the second derivative of -p**5/150 - 7*p**4/30 - 8*p**3/3 - 208*p**2/15 - 2*p + 554. Find q such that o(q) = 0.
-13, -4
Let r(w) = 5*w**3 - 4*w**2 + 3*w. Let x(o) = 18*o**3 - 16*o**2 + 11*o. Let j(f) = 22*r(f) - 6*x(f). Factor j(v).
2*v**2*(v + 4)
Let m = 63 - 61. Factor 4*n**5 - 3*n**2 - 34*n**4 + 42*n**4 - n**m - 4*n**3 - 4*n**2.
4*n**2*(n - 1)*(n + 1)*(n + 2)
Suppose -227*q = -122*q. Solve 18/17*o**2 + 2/17*o**4 + 12/17*o**3 + 0*o + q = 0.
-3, 0
Suppose 10 = -5*m, 15*s = 17*s + 5*m + 6. Factor 2/5*j**s + 0 - 4/5*j.
2*j*(j - 2)/5
Let d(m) be the first derivative of -m**6/468 + 7*m**5/780 - m**4/78 - 3*m**3 + 5. Let a(p) be the third derivative of d(p). What is c in a(c) = 0?
2/5, 1
Let y = -29 + 34. Suppose -5*c = -2*j - 14, -y*c + 2*j = -3*j - 20. Factor -3/5*d**c - 1/5*d**3 - 1/5 - 3/5*d.
-(d + 1)**3/5
Let b = -1790/7 - -256. Let f = -2/75 - -164/525. Factor -2/7*j**2 + 2/7 - b*j + f*j**3.
2*(j - 1)**2*(j + 1)/7
Factor 2*o - 474*o**3 - 26*o - 461*o**3 + 20*o**2 + 943*o**3 - 4*o**4.
-4*o*(o - 3)*(o - 1)*(o + 2)
Factor 46 - 24*d**2 - 26 - 20 - 28*d**3 + 4*d**5.
4*d**2*(d - 3)*(d + 1)*(d + 2)
Let w(j) be the second derivative of j**7/10080 - j**5/480 - 5*j**4/12 + j. Let y(a) be the third derivative of w(a). Suppose y(x) = 0. What is x?
-1, 1
Let j(q) = 1. Let m(f) = 3*f**2 - 42*f + 60. Let p(n) = -12*j(n) - m(n). Factor p(k).
-3*(k - 12)*(k - 2)
Let l(x) = -x**3 + 11*x**2 - 24*x + 3. Let i be l(8). Factor -5/4*d**i - 1/4*d**4 - 9/4*d**2 - 7/4*d - 1/2.
-(d + 1)**3*(d + 2)/4
Let d(y) be the third derivative of y**8/1176 + 8*y**7/735 + y**6/70 - 4*y**5/21 + 25*y**4/84 + 84*y**2. Determine n, given that d(n) = 0.
-5, 0, 1
Let s(z) = -z**2 + z. Let b be (-77)/(-14) + (-2 - 10/(-4)). Let w(r) = -8*r**2 + 10*r + 6. Let t(v) = b*s(v) - w(v). Factor t(y).
2*(y - 3)*(y + 1)
Let v(j) be the first derivative of j**3 - 5*j**2/2 - 3*j - 12. Let m(l) = -3*l**2 + 4*l + 2. Let i(w) = -3*m(w) - 2*v(w). Solve i(c) = 0.
0, 2/3
Let k(p) be the second derivative of -2*p**5/5 - 6*p**4 - 59*p**3/3 - 21*p**2 + 103*p. Factor k(x).
-2*(x + 7)*(2*x + 1)*(2*x + 3)
Let m(p) be the second derivative of p**7/189 + 2*p**6/27 + 3*p**5/10 + 7*p**4/27 - 28*p**3/27 - 8*p**2/3 - 2*p + 19. Suppose m(r) = 0. Calculate r.
-6, -2, -1, 1
What is t in -3/5*t**4 + 0*t + 6/5*t**2 + 3/5*t**3 + 0 = 0?
-1, 0, 2
Let c be 12/27 - (4/(-378))/((-3)/(-360)). Factor 3/7*x**2 + c*x - 36/7.
3*(x - 2)*(x + 6)/7
Suppose -112/5*y**2 - 1566/5*y**3 - 2/5*y**5 + 112/5*y**4 + 1568/5*y + 0 = 0. Calculate y.
-1, 0, 1, 28
Factor 2/3*k**2 + 748/3*k + 69938/3.
2*(k + 187)**2/3
Let r(t) be the second derivative of t**7/147 + 2*t**6/15 + 23*t**5/35 + 32*t**4/21 + 41*t**3/21 + 10*t**2/7 - 67*t. Solve r(c) = 0 for c.
-10, -1
Let y(l) be the first derivative of -50 - 2/3*l**3 + 0*l - 2*l**2. Factor y(o).
-2*o*(o + 2)
Factor 101*n**2 + 157*n**2 + n**4 - 2*n**4 - 508*n - 12*n**2 + 0*n**4 + 344 - 37*n**3.
-(n - 2)**3*(n + 43)
Suppose -6 = -t - t. Factor -p**5 - 8*p - t*p**4 + 2*p**2 - 3*p**3 + 8*p - 3*p**2.
-p**2*(p + 1)**3
Let j(m) be the second derivative of 10*m - 1/60*m**6 - 1/3*m**3 + 0 - 1/4*m**2 - 1/10*m**5 - 1/4*m**4. Factor j(c).
-(c + 1)**4/2
Suppose -8 = -4*r + 8. Suppose 2*s**r + 12*s**2 - 2*s**3 + 14 - 5 - 7 + 10*s**3 + 8*s = 0. Calculate s.
-1
Let m(r) be the second derivative of r**5/20 - 7*r**4/4 - 284*r. Factor m(b).
b**2*(b - 21)
Suppose -w + 2*x + 132 = -2*x, 5*w = -3*x + 545. Factor -141*y**3 - 16*y**4 - 360*y**2 - 15*y**3 - 25*y + w*y + 13*y.
-4*y*(y + 5)**2*(4*y - 1)
Let y(p) = p**3 + 6*p**2 - 5. Let b be y(-5). Let z(v) = -5*v**3 + 2*v**2 + 4*v. Let l(x) = x**3 - x. Let a(o) = b*l(o) + 5*z(o). Find u such that a(u) = 0.
0, 2
Let f(y) be the third derivative of -y**5/60 + 5*y**4/24 + 4*y**2 - 4. Factor f(t).
-t*(t - 5)
Let j(o) = -24*o**3 + o**2 + 5*o - 18. Let p(x) = -11*x**3 + x**2 + 2*x - 8. Let v(c) = -4*j(c) + 9*p(c). Suppose v(m) = 0. Calculate m.
0, 2/3, 1
Let x = 283 + -281. Let b(f) be the second derivative of 0*f**3 + 0*f**5 - 1/90*f**6 + 0 + 0*f**x + 0*f**4 + 2*f + 1/126*f**7. Factor b(o).
o**4*(o - 1)/3
Let k(b) = b**4 + b**3 + b. Let v(g) = -3*g**4 + 5*g**3 + 21*g**2 - 5*g - 30. Let c(f) = 4*k(f) + v(f). Let c(s) = 0. Calculate s.
-5, -3, -2, 1
Let j be 9 - (-4 + 3 + -1 + 2). Factor 6*h + 2*h**2 - 14*h**2 + j*h**2.
-3*h*(h - 2)
Let -227 + 5*h**4 - 125*h + 45*h**3 - 15*h**2 + 466 - 149 = 0. What is h?
-9, -2, 1
Let j = -8 + 14. Let t be (-1)/(j/(-9))*4/15. Factor 6/5*y**2 - 6/5*y**3 + t*y**4 - 2/5*y + 0.
2*y*(y - 1)**3/5
Let o(d) = -4*d - 14. Let p be o(-6). Factor -q + p*q**2 + 8*q - 4 + 8*q + 3*q.
2*(q + 2)*(5*q - 1)
Let o(s) = 5*s**2 + s - 1. Let i(m) = -19*m**2 - 31*m + 30. Let z(j) = i(j) + 4*o(j). Determine p so that z(p) = 0.
1, 26
Let g(x) = 7*x**3 + 1. Let f(d) = -2*d**4 - 76*d**3 - 44*d**2 - 96*d - 18. Let q(l) = 2*f(l) + 36*g(l). Factor q(k).
-4*k*(k - 24)*(k - 2)*(k + 1)
Let a be (-150)/(-297) + 44/198. What is p in -2/11*p**3 + 4/11 + a*p**2 - 10/11*p = 0?
1, 2
Let g(p) = -18*p**4 + 108*p**3 - 36*p**2 - 718*p - 200. Let d(r) = -2*r**4 + r**2 + r. Let h(y) = 4*d(y) - 2*g(y). Factor h(x).
4*(x - 5)**2*(x + 2)*(7*x + 2)
Let q(o) be the second derivative of 0*o**3 + 0*o**5 + 1/2*o**4 + 0 - 1/10*o**6 - 3/2*o**2 - 2*o. Determine s, given that q(s) = 0.
-1, 1
Let p(x) be the second derivative of -x**7/1680 - x**6/1440 + x**5/480 - 19*x**3/3 + 21*x. Let f(a) be the second derivative of p(a). Factor f(r).
-r*(r + 1)*(2*r - 1)/4
Suppose -13*z - 5 = -16*z + 4*c, -2*c = -2*z + 4. Factor 4/3*i**5 + 0*i + 0 - 4/3*i**z + 4/3*i**2 - 4/3*i**4.
4*i**2*(i - 1)**2*(i + 1)/3
Determine l, given that -3 + 6 + 76*l - 4*l**5 + 56*l**3 + 81*l**2 + 4*l**4 + 17 + 23*l**2 = 0.
-1, 5
Let o = -7/172 + 85/1032. Let w(l) be the third derivative of -1/12*l**5 - o*l**6 + 0*l**4 + 0 + 0*l**3 + 3*l**2 + 0*l. Let w(s) = 0. What is s?
-1, 0
Let p be 9/(99/8) - -2. Let k be (-3 - -1) + -24*(-4)/44. Determine l, given that p*l - 18/11 + k*l**3 - 14/11*l**2 = 0.
1, 3
Let u(x) = 2*x**3 - x**2 + 2*x. Let l(i) = 14641*i**4 + 202310*i**3 + 1048345*i**2 + 2414366*i + 2085136. Let n(o) = l(o) + u(o). Factor n(g).
(11*g + 38)**4
Let z(d) be the first derivative of 0*d + 2*d**4 + 2/21*d**3 - 1 - 2/7*d**2. Find b, given that z(b) = 0.
-2/7, 0, 1/4
Suppose 5*k + 4*d = 40, -d + 10 - 25 = -5*k. Factor -21*s + 5 + 919*s**2 - k*s**3 - 900*s**2 + s**3.
-(s - 5)*(s - 1)*(3*s - 1)
Let v(s) be the second derivative of -s**7/1400 - s**6/100 - 9*s**5/200 - 9*s**3/2 + s. Let u(y) be the second derivative of v(y). Solve u(d) = 0.
-3, 0
Let l(h) = -h**3 - h**2 + 2*h - 3. Let i be l(-3). Let j = i + -2. Let -33*p**2 - 19*p - 20 + 8 + 30*p**2 + j*p = 0. Calculate p.
-2
Factor 3/7*p**2 + 0 + 54/7*p.
3*p*(p + 18)/7
Let t(b) be the second derivative of b**4/8 - 17*b**3/2 + 279*b**2/4 + 12*b + 8. Factor t(s).
3*(s - 31)*(s - 3)/2
Determine q so that -2*q**2 - 6*q**2 - 128*q + 140*q - 4*q**3 = 0.
-3, 0, 1
Let x(j) be the first derivative of j**5/80 - j**4/24 - j**3/24 + j**2/4 + 8*j + 3. Let m(u) be the first derivative of x(u). Find a such that m(a) = 0.
-1, 1, 2
Let c be 2/(60/146) + (9869/213 - 48). Factor 24/5*r**3 - 16/5*r**4 + 4/5*r + 4/5*r**5 - c*r**2 + 0.
4*r*(r - 1)**4/5
Let m(h) be the second derivative of h**8/2240 - h**7/420 + h**6/240 - 5*h**4/12 - h + 13. Let t(v) be the third derivative of m(v). Factor t(n).
3*n*(n - 1)**2
Find t, given that 48*t**2 - 3 + 9*t**2 - 152 - 240*t - 3*t**3 - 145 = 0.
-1, 10
Let y(r) = -8*r**2 + 1. Let x be y(1). Let p(s) = s**3 + 6*s**2 - 7*s + 5. Let g be p(x). Solve 0 - 2/3*l**g + 2/3*l - 4/3*l**2 + 0*l**3 + 4/3*l**4 = 0.
-1, 0, 1
Let -10*w**3 - 78*w**2 + 92*w**2 + 2*w - 8*w**4 + 6*w - 4*w = 0. What is w?
-2, -1/4, 0, 1
Let f be (-1)/(-2 + 0)*6. Let t = 43/126 + -5/42. Factor 0*x**2 + 2/9*x**5 + 0*x**f + 0*x + t*x**4 + 0.
2*x**4*(x + 1)/9
Let n(p) = 4*p - 1. Let q(t) = 2*t**2 + 50*t - 34. Let r(l) = -6*n(l) + q(l). Factor r(o).
2*(o - 1)*(o + 14)
Let j(t) be the first derivative of -4*t**3/3 - 2