.
-b**2*(b - 2)**2*(b + 1)/3
Let u be -3*((-68)/(-12) + -1). Let k(p) = -p**3. Let x(h) = 6*h**3 + 2*h**2 + 4*h - 8. Let j(a) = u*k(a) - 2*x(a). Factor j(i).
2*(i - 2)**2*(i + 2)
Let j(m) = 9*m**2 - 3*m + 2. Suppose 6*q + 3*f - 1 = 2*q, 0 = 2*q - f - 3. Let i be j(q). Factor -3*c**4 + 2*c**3 + 4*c**2 - i*c**4 + 9*c**4.
-2*c**2*(c - 2)*(c + 1)
Let -1/5*m**5 + 9/5*m - 2/5*m**4 + 18/5*m**2 + 0 + 8/5*m**3 = 0. Calculate m.
-3, -1, 0, 3
Let n(m) be the third derivative of -7*m**5/60 - 5*m**4/6 - 17*m**3/6 + 4*m**2. Let r(o) = 50*o**2 + 140*o + 120. Let k(b) = -15*n(b) - 2*r(b). Factor k(p).
5*(p + 1)*(p + 3)
Let z(b) = 35*b - 7. Let w = -17 + 22. Let c be z(w). Factor 2*r**3 - 6*r**4 + 168 - c.
-2*r**3*(3*r - 1)
Let q be ((-14)/4 + 3)*0. Solve q*b**2 + 2*b + 0*b - 2*b**2 - 3 + 7 = 0 for b.
-1, 2
Let k = -5762 + 5764. Suppose 1/3*r**3 + 0 + 0*r + 1/3*r**4 + 0*r**k = 0. What is r?
-1, 0
Let i(s) be the second derivative of -16*s**7/63 - 8*s**6/15 + s**5/2 - s**4/9 - 127*s. Factor i(u).
-2*u**2*(u + 2)*(4*u - 1)**2/3
Let b(p) be the second derivative of -p + 3*p**2 - 1/20*p**5 + 0 - p**3 + 3/8*p**4. Let t(y) be the first derivative of b(y). Let t(x) = 0. What is x?
1, 2
Let f(m) be the third derivative of -m**6/1320 + m**4/88 - m**3/33 + 6*m**2 - m. Factor f(w).
-(w - 1)**2*(w + 2)/11
Let c be (-3)/4 - (-71)/52. Let g = c - 110/221. Factor 6/17*u**2 - g*u**4 + 4/17*u + 0*u**3 + 0.
-2*u*(u - 2)*(u + 1)**2/17
Let y(i) be the first derivative of -i**7/56 - 3*i**6/40 - 3*i**5/80 + 3*i**4/16 + i**3/4 - 21*i - 24. Let r(d) be the first derivative of y(d). Solve r(p) = 0.
-2, -1, 0, 1
Let u(x) = -x**2 - 4*x + 7. Let b be u(-5). Solve 2*o**2 + 5*o + 4*o - 3*o**3 + 4*o**b = 0 for o.
-1, 0, 3
Let v(j) be the second derivative of -j**4/12 - 9*j**3 - 53*j**2/2 - 870*j. Suppose v(i) = 0. Calculate i.
-53, -1
What is v in -58/5*v + 841/5 + 1/5*v**2 = 0?
29
Let h(c) be the first derivative of 20 - 16/15*c**3 + 3/5*c - 3/25*c**5 - 7/10*c**4 - 1/5*c**2. Solve h(r) = 0 for r.
-3, -1, 1/3
Let z = -17562 + 17566. Factor -8/3*h + 2/3*h**z + 4*h**2 + 2/3 - 8/3*h**3.
2*(h - 1)**4/3
Let l(w) be the second derivative of w**5/80 + w**4/24 + w**3/24 - 283*w. Factor l(u).
u*(u + 1)**2/4
Let a = 453 - 451. Suppose 4/3*d + 0 - 8/3*d**3 - 4/3*d**a = 0. Calculate d.
-1, 0, 1/2
Let t(d) = 5*d**2 - 14*d - 5. Let x be t(5). Let z = x - 48. Factor 0 - 5/2*p**2 - p - z*p**3 - 1/2*p**4.
-p*(p + 1)**2*(p + 2)/2
Find k, given that 6/5*k - 9/5 + 3/5*k**2 = 0.
-3, 1
Let a = 2668 + -2663. Find b such that 0 + 0*b + 0*b**3 - 1/4*b**4 - 1/4*b**a + 0*b**2 = 0.
-1, 0
What is f in 0*f**2 + 1/6*f**5 + 0 - f**3 + 0*f - 5/6*f**4 = 0?
-1, 0, 6
Let v(g) = -g**2 - 8*g - 1. Let x be v(-7). Let q be 15/2*8/x. Factor -2*l**2 - l - q - l**3 + 10.
-l*(l + 1)**2
Suppose 0 = -3*f + j + 2, -f + 2*f + 2*j = 10. Factor 4*i**2 - 7*i**3 + f*i - 5*i**2 - i**2 - 3*i**2.
-i*(i + 1)*(7*i - 2)
Solve 32/3*v - 6*v**3 + 8/3 - 22/3*v**2 = 0 for v.
-2, -2/9, 1
Let u(b) = b**3 + 31*b**2 + 32*b + 52. Let a be u(-30). Let x be (-12 - a)*(273/(-48) + 1). Factor -3 + x*j**3 - 135/4*j**2 + 18*j.
3*(j - 1)*(5*j - 2)**2/4
Let l = -226 + 214. Let o be l/16*2*5/(-2). Solve o*r**3 - 5/2*r + 5/2*r**4 - 15/4*r**2 + 0 = 0 for r.
-2, -1/2, 0, 1
Let n be -4*(-18)/192 + (3 - 234/240). Factor 16/5*j**3 - 6/5*j**4 - n*j**2 + 0*j + 2/5.
-2*(j - 1)**3*(3*j + 1)/5
Let h(d) be the third derivative of d**8/294 - 11*d**7/245 + 19*d**6/105 - 19*d**5/70 + 5*d**4/42 + 9*d**2 + 12. Suppose h(t) = 0. Calculate t.
0, 1/4, 1, 2, 5
Let j(y) be the third derivative of -5*y**8/336 - 11*y**7/42 + y**6/2 - 9*y**2 - 27. Factor j(r).
-5*r**3*(r - 1)*(r + 12)
Let p(u) = u**2 - 7*u - 5. Let t be p(8). Determine v, given that -16*v - 9 + 4*v**t + 16 - 7 = 0.
-2, 0, 2
Let j(t) be the first derivative of -t**5/40 + t**3/4 - t**2/2 - 17*t - 28. Let u(p) be the first derivative of j(p). Factor u(k).
-(k - 1)**2*(k + 2)/2
Let r be (2 + -1)*(-4 + (-510)/(-119)). Determine b so that 0*b + 4/7*b**3 + 0 + r*b**2 + 2/7*b**4 = 0.
-1, 0
Let r(h) be the second derivative of h**4/20 - 6*h**2/5 - 2*h + 142. Suppose r(l) = 0. What is l?
-2, 2
Let o = -196/45 + 226/45. Factor 2/9*n**3 - 10/9 - o*n**2 - 2*n.
2*(n - 5)*(n + 1)**2/9
Let q(x) be the first derivative of 4*x**5/15 + 7*x**4/4 + 11*x**3/3 + 19*x**2/6 + x - 102. What is h in q(h) = 0?
-3, -1, -1/4
Let l = 12 + -6. Factor 2*j**3 - l*j + 4*j**2 - j**2 + j**3.
3*j*(j - 1)*(j + 2)
Let y(n) = n**5 + 2*n**3 - n**2 + 2*n - 1. Let k(p) = -5*p**5 + 3*p**4 - 10*p**3 + 6*p**2 - 12*p + 6. Let o(d) = -k(d) - 6*y(d). Factor o(h).
-h**3*(h + 1)*(h + 2)
Let k(g) be the first derivative of -g**3/24 + 13*g**2/16 + 122. Solve k(v) = 0 for v.
0, 13
Let l(i) = 25*i**3 - 11*i**2 - 6*i - 4. Let y(u) = 9 - 32*u**3 + 7*u**2 - 18*u**3 - 6*u + 14*u**2 + 17*u. Let x(o) = 9*l(o) + 4*y(o). Factor x(n).
5*n*(n - 1)*(5*n + 2)
Let q = -34 + 39. What is z in -2*z**5 + 3*z**5 + 10*z**3 + 5*z**4 + 320 - 319 + q*z + 10*z**2 = 0?
-1
Let l(s) = 2*s**2 - 42*s + 81. Let t be l(19). Let q(r) be the first derivative of 5 + 2/5*r**2 + 0*r - 2/25*r**t + 2/5*r**4 - 2/3*r**3. What is y in q(y) = 0?
0, 1, 2
Factor -140*w**2 + 30*w**4 - 5612 + 5522 - 225*w + 5*w**5 - 10*w**5 + 30*w**3.
-5*(w - 6)*(w - 3)*(w + 1)**3
Let l(h) be the third derivative of -h**6/100 + 4*h**5/25 + h**4 - 579*h**2. Find u, given that l(u) = 0.
-2, 0, 10
Let l(z) be the first derivative of 4*z**5/25 + 33*z**4/5 + 484*z**3/5 + 2662*z**2/5 + 6. Determine p so that l(p) = 0.
-11, 0
Let m(r) be the second derivative of -3*r**5/20 + 3*r**4/8 + 11*r**3/4 - 9*r**2/2 + 81*r. Let m(d) = 0. Calculate d.
-2, 1/2, 3
What is u in -1/2*u**5 - 3/2*u**4 + 0 - 17/2*u**2 + 15/2*u**3 + 3*u = 0?
-6, 0, 1
Let j be 1/((30/12)/5). Let p(n) be the second derivative of 0*n**5 - 1/28*n**4 + 0 + 0*n**j + 0*n**3 + 1/70*n**6 - 6*n. Factor p(s).
3*s**2*(s - 1)*(s + 1)/7
Let b(f) be the third derivative of f**5/90 + 31*f**4/36 - 32*f**3/9 - 353*f**2. Factor b(a).
2*(a - 1)*(a + 32)/3
Let z(l) = 6*l**5 + 12*l**4 + 6*l**3 - 48*l**2 - 24*l. Let a(h) = -h**3 - 781*h**2 + 781*h**2 - h**5 - h. Let o(y) = -8*a(y) - z(y). Factor o(v).
2*v*(v - 4)**2*(v + 1)**2
Let d = -182550/7 + 26082. Let 3/7*q**2 + 12/7 - 15/7*q**4 + d*q - 3*q**3 - 3/7*q**5 = 0. What is q?
-2, -1, 1
Let o be (18/(-75))/((-1)/10 + (-18)/36). Factor 0 + o*q**2 - 2/5*q**3 + 0*q.
-2*q**2*(q - 1)/5
Let r(n) be the second derivative of -1/20*n**4 + 15*n + 0 + 0*n**2 + 0*n**3 + 3/100*n**5. Factor r(p).
3*p**2*(p - 1)/5
Solve 3/2*s**5 - 147/2*s**2 + 15/2*s**4 + 240*s - 51/2*s**3 - 150 = 0.
-5, 1, 2
Let x(c) = 15*c - 49. Let f be x(11). Let r = 350/3 - f. Factor 0 - r*n**3 + 0*n**2 + 0*n**4 + 2/3*n**5 + 0*n.
2*n**3*(n - 1)*(n + 1)/3
Let a = 24 + -20. Let h(p) = -p**2 + 5*p. Let x be h(4). Solve 3*z**3 + 3*z**2 - 2 - x*z - 3*z - 1 + a*z = 0 for z.
-1, 1
Suppose 40/7*p - 18/7*p**3 - 48/7 - 4/7*p**4 + 4*p**2 + 2/7*p**5 = 0. What is p?
-2, 1, 2, 3
Suppose 102 = 73*d - 22*d. Find s, given that 2/9*s**d + 2/3*s + 0 = 0.
-3, 0
Suppose -p + 79 = 4*p + 2*c, -c = -2. What is a in -5*a**2 - p*a**4 - 9*a**5 + a**2 - 5*a**2 + 33*a**3 = 0?
-3, 0, 1/3, 1
Let g be ((-1)/(-3))/(12/(-144)). Let h(d) = 4*d + 16. Let i be h(g). Determine w, given that 0*w + 0 - 2/3*w**4 + i*w**2 + 2/3*w**3 = 0.
0, 1
Let i(b) be the first derivative of -b**4/18 + 2*b**3/9 - 2*b**2/9 - 35. Suppose i(h) = 0. What is h?
0, 1, 2
Factor 16 + 6*b**3 + 24*b - 21*b**2 + 4*b**3 - 15*b**2.
2*(b - 2)**2*(5*b + 2)
Let t(j) be the second derivative of -j**4/42 + 3*j**3/7 + 22*j**2/7 - 203*j - 1. Factor t(s).
-2*(s - 11)*(s + 2)/7
Let y(v) = -v + 8. Let p(r) = -1. Let a(g) = -4*p(g) - y(g). Let d be a(7). Factor -8*c**2 - 4*c**4 + 3*c**3 - 5*c**3 - 10*c**d.
-4*c**2*(c + 1)*(c + 2)
Let s(q) = 5*q**2 + 7*q + 1. Let d be s(-3). Find y, given that -11*y**2 + d*y - y**3 - 28*y - 32*y - 25 = 0.
-5, -1
Factor 1264*z**5 - 1579*z**5 + 7*z**2 + 3*z**2 + 25*z**3 - 120*z**4.
-5*z**2*(3*z + 1)**2*(7*z - 2)
Let 4 + 20*j + 5 - 16*j**2 + 5 - 18 = 0. What is j?
1/4, 1
Let x(h) be the second derivative of 5*h**7/42 + h**6/2 + h**5/2 - 5*h**4/6 - 5*h**3/2 - 5*h**2/2 + 131*h. What is g in x(g) = 0?
-1, 1
Let w be (-2)/2 - 8/(-2). Let f be -24*(w + 30/(-9)). Factor -2*s**2 - 2*s**3 + 16*s + 2*s**5 - 2*s**3 + 2*s**4 - 6*s**3 - f.
2*(s - 1)**3*(