 + 2/3*i**4 - 8/3*i**2.
i*(i - 2)*(i + 2)*(4*i - 1)/6
Let h = 442 - 440. Let u be (-207)/(-46)*1/6. Factor 5/4*l**h - u*l**3 - 1/4 - 1/4*l.
-(l - 1)**2*(3*l + 1)/4
Let i(u) be the second derivative of -u**6/1620 - u**5/180 - u**4/54 + 17*u**3/6 - 6*u. Let x(d) be the second derivative of i(d). Factor x(z).
-2*(z + 1)*(z + 2)/9
Let d(u) be the second derivative of 0 + 13*u - 7*u**5 - 54*u**2 + 8/15*u**6 - 54*u**3 + 33*u**4. Factor d(o).
4*(o - 3)**3*(4*o + 1)
Let p(u) be the second derivative of -25*u**7/33 - 262*u**6/33 - 493*u**5/110 + 359*u**4/33 + 20*u**3/33 - 56*u**2/11 - 466*u. Solve p(i) = 0.
-7, -1, -2/7, 2/5
Find q such that -34/13*q**2 + 18/13*q**3 - 2/13*q**5 + 10/13*q**4 - 16/13*q + 24/13 = 0.
-2, -1, 1, 6
Let o(g) be the second derivative of 2*g**6/15 + g**5/5 - 2*g**4/3 - 28*g - 3. Factor o(i).
4*i**2*(i - 1)*(i + 2)
Let h = 4779 + -9555/2. Find y such that 5*y + h*y**2 + 3/2 = 0.
-3, -1/3
Let y = 2071 + -2069. Factor 4/15 + 6/5*n**4 + 22/5*n**2 - y*n - 58/15*n**3.
2*(n - 1)**3*(9*n - 2)/15
Suppose -6/11*h**4 + 6/11*h**2 + 4/11*h - 8/11*h**3 + 4/11*h**5 + 0 = 0. Calculate h.
-1, -1/2, 0, 1, 2
Let d(t) be the second derivative of -t**8/4480 - t**7/420 - t**6/96 - t**5/40 - 5*t**4/12 + t. Let x(w) be the third derivative of d(w). What is o in x(o) = 0?
-2, -1
Factor 12/5 + 12/5*s - 9/5*s**2 + 3/5*s**4 - 6/5*s**3.
3*(s - 2)**2*(s + 1)**2/5
Let s(v) = v**2 - 10*v + 24. Let j be s(7). Suppose -f = -0*i + 3*i, -j*i = 5*f. Let 1/2*m**3 + f + m**2 + 1/2*m = 0. What is m?
-1, 0
Let l(r) = -r + 8. Let h be l(8). Suppose x - 4*q - 6 = h, x + 0 = -3*q - 1. Factor i - 18*i**x + 2 + 10*i**3 - i + 6*i.
2*(i - 1)**2*(5*i + 1)
Solve -2/11*g**2 - 42/11 + 4*g = 0.
1, 21
Suppose 5*a = 2*z - 12 - 0, 0 = -2*a - 8. Let y(c) = c**3 + 3*c**2 - 5*c - 1. Let l be y(z). Factor -3*q**5 + 8*q + 22*q**2 - l*q**4 + 9*q**3 - 7*q**2 - 2*q.
-3*q*(q - 2)*(q + 1)**3
Let b be -2*(-2)/120*8*-1. Let k = 31/60 + b. Solve -k + 0*j**2 + 1/4*j**4 + 1/2*j**3 - 1/2*j = 0 for j.
-1, 1
Let y(a) be the third derivative of -a**7/280 - a**6/96 - a**5/240 + a**4/96 + 39*a**2. Let y(h) = 0. Calculate h.
-1, 0, 1/3
Suppose 0 = 4*y - 12, -176*y + 17 = 4*n - 177*y. Let g(z) be the second derivative of 0 + 5/12*z**4 - 5*z**2 - n*z - 5/6*z**3. Factor g(t).
5*(t - 2)*(t + 1)
Let u(s) = -2*s - 1. Let g(b) = -2*b**3 - 42*b**2 - 276*b - 218. Let l(h) = 2*g(h) - 36*u(h). Factor l(i).
-4*(i + 1)*(i + 10)**2
Let h = -863 + 12946/15. Let r(l) be the third derivative of 1/1050*l**7 + 0*l + 4*l**2 + 1/300*l**5 + 1/40*l**4 + 0 - h*l**3 - 1/200*l**6. Factor r(i).
(i - 2)*(i - 1)**2*(i + 1)/5
Let q(x) = 5*x**3 - 6*x**2 + 2*x + 4. Let a(j) = -j**3 + j + 1. Let c(k) = 6*a(k) + q(k). Let u be c(-7). Factor -6*z - 4 + 19*z**3 - 12*z**2 - 15*z**u + 18*z.
4*(z - 1)**3
Let m(p) = -2*p**2 - 17*p - 35. Let f be m(-5). Let j(n) be the first derivative of f*n + 6 + 1/2*n**2 - 1/3*n**3. Suppose j(h) = 0. What is h?
0, 1
Suppose -5*d - 20 + 0 = 0. Let z = 8 + d. Determine m, given that 2*m**2 - m**3 - 5*m**3 + 2*m**3 + 0*m**4 + 2*m**z = 0.
0, 1
Solve -4/3*f**3 - 4/9*f**2 + 0 - 1/3*f**5 - 11/9*f**4 + 0*f = 0 for f.
-2, -1, -2/3, 0
Let o = -17 - -19. Factor -64*w**2 - w + 35*w**o + 34*w**2 - 5 + w**3.
(w - 1)*(w + 1)*(w + 5)
Let b be -2 + (-3 - -2) - (-55)/11. Let g be 20/(-105) + 1 + b/6. Solve -8/7*o**2 - g*o**4 + 0 - 2/7*o**5 - 12/7*o**3 - 2/7*o = 0 for o.
-1, 0
Let w be 87*1000/504 - 4/(-6). Let b = -173 + w. What is q in -6/7*q**3 + 0 - 6/7*q**2 - b*q**4 - 2/7*q = 0?
-1, 0
Let s(t) be the third derivative of 1/420*t**5 + 3/14*t**3 + 0 - 1/28*t**4 + 0*t + 7*t**2. Let s(f) = 0. Calculate f.
3
Factor 49 - 9/5*d**2 + 21/5*d - 1/5*d**3.
-(d - 5)*(d + 7)**2/5
Let t(y) = 44*y**4 + 264*y**3 + 528*y**2 + 320*y - 32. Let r(p) = -4*p**4 - 24*p**3 - 48*p**2 - 29*p + 3. Let j(b) = -32*r(b) - 3*t(b). Factor j(f).
-4*f*(f + 2)**3
Let d = -1959 - -7837/4. Factor 1/4*c - 1/2*c**4 + 0 + 0*c**3 - d*c**5 + 1/2*c**2.
-c*(c - 1)*(c + 1)**3/4
Let o(m) = -9*m + 58. Let j be o(6). Let k(x) be the first derivative of -x**2 + 0*x + 2/3*x**3 + j + x**4. Let k(b) = 0. What is b?
-1, 0, 1/2
Suppose -18 = d - 2*a, 0 = -2*a - 3 + 13. Let s be ((-50)/75)/((-3)/((-18)/d)). Solve s - 1/4*k - 1/4*k**2 = 0.
-2, 1
Let d(i) be the second derivative of i**7/525 + i**6/150 - 7*i**5/150 + i**4/15 - i**2 + 5*i. Let w(n) be the first derivative of d(n). Solve w(y) = 0.
-4, 0, 1
Let l = 448 - 443. Let w(m) be the second derivative of -9/2*m**3 + 0 + 0*m**2 - 5*m - 15/4*m**4 - 1/10*m**6 - 21/20*m**l. Factor w(j).
-3*j*(j + 1)*(j + 3)**2
Let u = -1259 - -1262. Let k(f) be the first derivative of -48*f**2 + 9 - 8*f**u - 1/2*f**4 - 128*f. Factor k(n).
-2*(n + 4)**3
Let s(k) = -2*k**4 + 27*k**3 + 25*k**2 - 24*k - 23. Let h(c) = -c**4 + c**3 + c**2. Let n(r) = 3*h(r) - s(r). Determine l, given that n(l) = 0.
-23, -1, 1
Let r(f) = 3*f**3 - 41*f**2 - 16*f + 33. Let u be r(14). Let n(g) be the second derivative of -1/20*g**u - 5/6*g**3 - 1/3*g**4 + 0 + 8*g - g**2. Factor n(k).
-(k + 1)**2*(k + 2)
Let z(i) be the second derivative of 5/6*i**3 - 7/4*i**5 + 5/6*i**4 + 0 + 0*i**2 + 2/3*i**6 - 6*i. Solve z(b) = 0.
-1/4, 0, 1
Factor -3 + 2 - 38*k**2 + 4*k**5 - 8*k**2 - 3 + 46*k**3 - 22*k**4 + 22*k.
2*(k - 2)*(k - 1)**3*(2*k - 1)
Suppose -4/7*c**5 + 32/7*c**2 - 24/7 + 24/7*c**3 - 8/7*c**4 - 20/7*c = 0. Calculate c.
-3, -1, 1, 2
Suppose 29 = -2*q - 4*k + 41, -8*q = -2*k + 6. Factor -4/7*l - 1/7*l**4 + 3/7*l**3 + 0 + q*l**2.
-l*(l - 2)**2*(l + 1)/7
Let l(t) = 2*t**3 - 6*t**2 + 16*t - 10. Let z be (-2 - 1) + (1 - -1). Let s(c) = c**3 + c**2 + c - 1. Let g(u) = z*l(u) + s(u). Factor g(h).
-(h - 3)**2*(h - 1)
Let o(c) be the second derivative of -c**4/8 - 3*c**3/2 - 15*c**2/4 + 98*c. Solve o(x) = 0.
-5, -1
Let s(c) = -c**2 - 18*c - 6. Let a be s(-24). Let d be (-990)/a + -5*1. Let d*p - 2/5*p**2 - 8/5 = 0. What is p?
2
Let i(n) = 4*n**2 - 2*n + 3. Let d be i(1). Let y(w) be the second derivative of -w - 1/75*w**6 + 1/15*w**4 + 0*w**2 + 0*w**3 - 1/50*w**d + 0. Factor y(s).
-2*s**2*(s - 1)*(s + 2)/5
Let u(w) be the second derivative of -w**8/84 - 4*w**7/35 - 2*w**6/5 - 2*w**5/3 - w**4/2 + 13*w**2 + 2*w. Let k(r) be the first derivative of u(r). Factor k(m).
-4*m*(m + 1)**3*(m + 3)
Let h(z) = z**3 + z - 1. Let c(u) = -5*u**2 - 51*u + 1. Let y(m) = -c(m) - h(m). Factor y(x).
-x*(x - 10)*(x + 5)
Let 43*y - 43*y - 4*y**3 + 6*y**4 = 0. Calculate y.
0, 2/3
Let n be (1*892/(-16))/1. Let d = n + 56. Factor -1/4*t**2 - 1/4*t**3 + d + 1/4*t.
-(t - 1)*(t + 1)**2/4
Suppose 5*t - 1 = 2*x, 4*x = -6*t + 2*t + 12. Suppose 4*c = 3*i - 6 - 0, -3*i + 6 = -x*c. Factor 0*j - i*j**3 - 6/5*j**4 - 4/5*j**2 + 0.
-2*j**2*(j + 1)*(3*j + 2)/5
Let n be (0 - 0) + -7*2/(-7). Suppose 5*b + 55*b**4 + 75*b**3 - 44*b**n + 26*b**5 - 15*b - 91*b**5 - 11*b**2 = 0. Calculate b.
-1, -2/13, 0, 1
Determine u so that 0*u**4 + 5*u**3 - 10*u**2 + 6*u**3 + 4*u**4 - 5*u**4 = 0.
0, 1, 10
Suppose 31*k = 11*k. Let s(f) be the third derivative of 0 - 5*f**2 - 3/160*f**5 + 1/4*f**3 + 1/320*f**6 + 0*f**4 + k*f. Determine q, given that s(q) = 0.
-1, 2
Suppose -2/11*u**2 - 2/11*u + 0 + 2/11*u**3 + 2/11*u**4 = 0. What is u?
-1, 0, 1
Let f(v) be the first derivative of 1/34*v**4 + v**2 + 16/17*v + 20/51*v**3 + 10. What is t in f(t) = 0?
-8, -1
Let h(k) be the second derivative of 0*k**2 - 1/10*k**3 + 0 + 1/60*k**4 - 12*k. Solve h(m) = 0.
0, 3
Let b(k) = -2*k**2 - 2. Let x(y) = 16*y**2 + 45*y + 41. Let g(u) = -18*b(u) - 2*x(u). Factor g(t).
2*(t - 23)*(2*t + 1)
Let h(y) be the second derivative of 27*y**5/20 + 13*y**4/4 + 20*y**3/9 + 2*y**2/3 - y - 27. Factor h(w).
(w + 1)*(9*w + 2)**2/3
Let o(w) be the first derivative of -w**3/3 + 5*w**2 + 13*w + 3. Let x be o(11). Determine n so that -3*n**x - 6*n + 5*n**3 + 2*n + 8*n**2 + 3*n**2 = 0.
-2, 0, 2/5
Let n be 1 - (1 - 6/3). Suppose -23*d**n + 7*d**2 + 8*d + 10*d**3 + 3*d**4 - 5*d**4 = 0. What is d?
0, 1, 2
Suppose 471*y - 610 = 567 + 707. Factor 12 - y*p - 4/3*p**3 - 20/3*p**2.
-4*(p - 1)*(p + 3)**2/3
Let k = -15516 + 31035/2. Solve -51/4*m**2 + 0 + 21*m**3 + k*m - 39/4*m**4 = 0.
0, 2/13, 1
Let w(v) be the third derivative of -v**9/11340 + v**8/10080 - 47*v**4/24 + 5*v**2. Let k(y) be the second derivative of w(y). Find d, given that k(d) = 0.
0, 1/2
Let f(m) be the first derivati