 + y*p**3 + 0 - 3/5*p = 0.
-1, 0, 1
Let n(z) be the third derivative of z**7/168 + z**6/24 - 5*z**3/3 + 12*z**2. Let o(c) be the first derivative of n(c). Factor o(x).
5*x**2*(x + 3)
Factor 156*u**2 + 28*u**3 - 33*u - 3*u - 18*u**2 + 118*u + 190*u + 2*u**4 + 160.
2*(u + 1)*(u + 4)**2*(u + 5)
Let h be 817/172 - (-12)/(-48). Determine l so that -h - 3/4*l**2 - 21/4*l = 0.
-6, -1
Let m(k) be the second derivative of -2*k**2 - 1/12*k**4 - 7/60*k**5 - 8*k + 1/6*k**3 - 1/30*k**6 + 0. Let w(y) be the first derivative of m(y). Factor w(x).
-(x + 1)**2*(4*x - 1)
Factor -11*t**3 + 80*t**2 - 22*t**2 - 26*t**2 + t**4 - 28*t.
t*(t - 7)*(t - 2)**2
Let h(d) be the second derivative of -4*d + 3/20*d**4 - 4/5*d**3 + 8/5*d**2 - 1/100*d**5 + 0. Determine x, given that h(x) = 0.
1, 4
Let u be 3 + 2 - (-49)/18 - (-4)/(-18). Let 6 - 39/2*j**2 + 6*j + u*j**3 = 0. Calculate j.
-2/5, 1, 2
Let l(b) be the third derivative of b**8/16 + 8*b**7/35 - 17*b**6/40 - 31*b**5/10 - 11*b**4/2 - 4*b**3 + 131*b**2. Determine i, given that l(i) = 0.
-2, -1, -2/7, 2
Solve 424*g**4 - 11*g**3 + 436*g**4 - 857*g**4 - 4*g**2 = 0.
-1/3, 0, 4
Let w = 1424721/6695 - 5/1339. Let b = -211 + w. Let 0 + 3*q**2 + 3/5*q + b*q**3 - 3*q**4 - 12/5*q**5 = 0. What is q?
-1, -1/4, 0, 1
Let c be 1 + (1 - 8/22). Suppose -199*k = -127 - 470. Let -c*a**k + 0 - 8/11*a - 24/11*a**2 = 0. What is a?
-2/3, 0
Let v = 155 - 21. Let j = -668/5 + v. Factor 4/5*g - 2/5 - j*g**2.
-2*(g - 1)**2/5
Let x(w) be the first derivative of w**7/6 - 2*w**6/5 - w**5/5 + 7*w**4/6 - w**3/2 - w**2 + 18*w + 9. Let d(t) be the first derivative of x(t). Factor d(g).
(g - 1)**3*(g + 1)*(7*g + 2)
Let x(d) be the second derivative of 1/135*d**6 + 0*d**5 + 0*d**2 + 0 + 5*d + 0*d**3 - 1/54*d**4. Factor x(g).
2*g**2*(g - 1)*(g + 1)/9
Let r(l) be the first derivative of 10*l - 35/2*l**2 + 15*l**3 - 25/4*l**4 - 16 + l**5. Determine n so that r(n) = 0.
1, 2
What is x in -8/9*x**3 + 0*x**4 + 2/9*x**5 + 0*x**2 + 0*x + 0 = 0?
-2, 0, 2
Let w = 69 - 65. Find q, given that -9*q**3 + 4 + 185*q - w*q**4 - 177*q + q**3 = 0.
-1, 1
Let u(n) be the second derivative of -n**8/112 - n**7/70 + 6*n**2 + 17*n. Let s(l) be the first derivative of u(l). Factor s(m).
-3*m**4*(m + 1)
Let q(i) be the third derivative of i**7/12600 - i**6/600 + i**5/75 - 3*i**4/4 + 14*i**2. Let h(t) be the second derivative of q(t). Factor h(x).
(x - 4)*(x - 2)/5
Let l(m) be the first derivative of 4*m**5/5 + 7*m**4 - 68*m**3/3 + 18*m**2 + 121. Factor l(d).
4*d*(d - 1)**2*(d + 9)
Suppose 6*h + 39*h**3 - 2*h**2 - 44*h**3 - 2*h**2 - h**5 + 5*h**4 - h**2 = 0. Calculate h.
-1, 0, 1, 2, 3
Let v be 27/(-6)*(400/12)/5. Let c be (-25)/v*((-33)/(-15) - 2). Find z such that 0 + 0*z + c*z**2 - 1/6*z**3 = 0.
0, 1
Let j(z) = 2*z - 16. Let n be j(9). Let k be (-5)/(-20) + n/(-8). Factor -133*y**5 + 2 - 5*y + 134*y**5 - y**2 + 3*y**2 + k*y**2 - 4*y**4 + 4*y**3.
(y - 2)*(y - 1)**3*(y + 1)
Let v be (-1*1/1)/1. Let t(h) = 3*h**4 + 6*h**3 - 9*h - 9. Let q(u) = -u**3 - u**2 - 1. Let x(y) = v*t(y) + 3*q(y). Determine d, given that x(d) = 0.
-2, -1, 1
Let b(c) = 176*c - 5454. Let s be b(31). Find k such that 40/7*k + 2/7*k**4 + 36/7*k**s + 2*k**3 + 16/7 = 0.
-2, -1
Suppose -735/2*o**3 - 122*o + 343/2*o**4 - 12 - 399*o**2 = 0. What is o?
-2/7, 3
Let g(r) = 119*r + 2620. Let l be g(-22). Suppose 0*s**l - 9/8*s**3 - 3/8*s**4 + 0 + 0*s = 0. What is s?
-3, 0
Suppose -10*t + 20 = -0*t. Let l(q) be the third derivative of 0 + 0*q**3 - 1/270*q**5 - 1/108*q**4 - 2*q**t + 0*q. Factor l(z).
-2*z*(z + 1)/9
Let c = -2/49 + 61/294. Let v(z) be the first derivative of 0*z + 2 + 1/9*z**3 + c*z**2. Let v(r) = 0. What is r?
-1, 0
Factor 5*g**3 + 11*g**3 - 28*g**3 + 9*g**3 + 3*g**5 + 3*g**4 - 3*g**2.
3*g**2*(g - 1)*(g + 1)**2
Let k = -775/4 + 2329/12. Let m(o) be the first derivative of 0*o + k*o**2 - 1/9*o**3 - 5. Factor m(j).
-j*(j - 2)/3
Let c = -138 - -147. Let f be (-407)/(-165) - 6/c. Factor -f + y**2 + 1/5*y**3 + 3/5*y.
(y - 1)*(y + 3)**2/5
Let v = -95 - -98. Let m(u) be the second derivative of -12*u - 3/11*u**2 + 1/33*u**4 - 5/33*u**v + 0. Suppose m(k) = 0. What is k?
-1/2, 3
Let j(y) be the first derivative of y**6/12 + y**5/10 - 3*y**4/8 - y**3/6 + y**2/2 + 47. Factor j(k).
k*(k - 1)**2*(k + 1)*(k + 2)/2
Let y(s) be the first derivative of s**3 - s**2/5 + 99. Suppose y(n) = 0. What is n?
0, 2/15
Let g(x) be the second derivative of 0*x**4 - 12*x + 0 + 3/20*x**5 - 1/2*x**3 + 0*x**2. Factor g(h).
3*h*(h - 1)*(h + 1)
Let l(d) be the second derivative of 7/3*d**4 + 10*d**2 + 1/5*d**5 + 0 + 34*d + 22/3*d**3. Solve l(v) = 0 for v.
-5, -1
Let f = 74 + -70. Let v(k) be the third derivative of -2/5*k**f - 1/300*k**6 + 0 + 0*k - 5*k**2 + 16/15*k**3 + 3/50*k**5. Factor v(d).
-2*(d - 4)**2*(d - 1)/5
Let g(b) = b**2 + 2. Let r(c) = 4*c**3 - 32*c**2 + 44*c + 32. Let z(d) = -16*g(d) + r(d). Let z(f) = 0. Calculate f.
0, 1, 11
Let m(k) = -3*k + 6 + 9*k + 13*k - 4*k. Let u be m(6). Factor 11*o + 245*o - 47 + 16*o**3 + u*o**2 + 303 - 2*o**4 + 3*o**4.
(o + 4)**4
Let b(l) be the first derivative of -5*l**6/3 + 3*l**5 + 45*l**4/2 + 40*l**3/3 + 564. Suppose b(h) = 0. What is h?
-2, -1/2, 0, 4
Let d(w) be the first derivative of -w**3/3 + 25*w**2/2 - 193*w - 37. Let c(z) = -3*z**2 + 76*z - 580. Let y(k) = 3*c(k) - 8*d(k). Let y(q) = 0. What is q?
14
Let j(y) be the first derivative of -2/7*y**3 - 2/7*y**2 + 0*y**4 + 0*y + 7 + 2/35*y**5. Suppose j(n) = 0. What is n?
-1, 0, 2
Suppose 2*z + z - 12 = 0. Suppose 5*x - 31 = -6. Suppose x*q**z - 10*q + 7*q**3 - q**4 + 2*q**4 + 4 - 10*q**2 + 3*q**3 = 0. Calculate q.
-2, -1, 1/3, 1
Let f be (21/14)/(9/24). Factor 4*b**4 + 4*b**4 - 3*b**f - 5*b**3 - 10*b**2.
5*b**2*(b - 2)*(b + 1)
Suppose 1 = b + 5. Let u = b - -6. Factor 18*a**2 - 20*a**2 + 0*a**4 + 4*a**3 + 0*a**4 - u*a**4.
-2*a**2*(a - 1)**2
Let i be -1 - (-6)/90*19. Let k(d) be the first derivative of 2/25*d**5 + 1/15*d**6 - 2 + 1/5*d**2 - i*d**3 + 2/5*d - 1/5*d**4. Factor k(r).
2*(r - 1)**2*(r + 1)**3/5
Let i be 60/6*5*(-6 + 604/100). Factor 2/3*s**i - 2/3*s - 4/3.
2*(s - 2)*(s + 1)/3
Let y(q) = 2*q. Let o(z) = -2*z**2 + 30*z + 42. Let j(f) = -o(f) - 5*y(f). Factor j(a).
2*(a - 21)*(a + 1)
Let h = 9/802 + 3181/2406. Suppose 0 = 3*d - 6*d. Solve -h*i**2 + 0*i**3 + d*i + 2/3 + 2/3*i**4 = 0.
-1, 1
Let z = 130/363 - 3/121. Factor -4/3*d + z*d**2 + 4/3.
(d - 2)**2/3
Determine f, given that 100/3*f**2 + 34 + 1/3*f**3 - 203/3*f = 0.
-102, 1
Let 436/5*q**3 - 8*q + 82/5*q**2 - 502/5*q**4 + 0 + 24/5*q**5 = 0. Calculate q.
-1/3, 0, 1/4, 1, 20
Let h(d) = -d**2 + 40*d - 175. Let j be h(5). Solve -2/9*f**4 + 8/9*f**3 - 8/9*f**2 + j*f + 0 = 0.
0, 2
Let y(m) be the second derivative of -m**7/189 - m**6/27 - m**5/10 - 7*m**4/54 - 2*m**3/27 + 48*m. Let y(g) = 0. What is g?
-2, -1, 0
Let o(f) be the third derivative of f**5/300 - f**4/60 + f**3/30 + 15*f**2. Factor o(h).
(h - 1)**2/5
Factor -10*d - 5*d**2 + 8 + 4*d**2 + 3*d**2.
2*(d - 4)*(d - 1)
Suppose -2*g + 2 = m, 5*m + 6 = g + 3*m. Let t be 2/(-10)*(3 - 11)/g. Factor 4*n + 8/5 - 4/5*n**4 + 12/5*n**2 - t*n**3.
-4*(n - 2)*(n + 1)**3/5
Let o = -27/125 + 429/250. Solve 9/8*t**4 + 21/8*t**3 + 0 - o*t + 0*t**2 = 0.
-2, -1, 0, 2/3
Suppose 0 = 3*w + 9, -4*t + 0*t - 1 = 3*w. What is r in 21*r**3 - 5*r + 5*r**t - 26*r**3 + 7*r**3 + 8*r**3 = 0?
-1, 0, 1/2
Let m(f) be the second derivative of -1/15*f**6 + 0*f**2 + 0*f**3 + 1/18*f**4 + 0 + 10*f - 1/15*f**5. Factor m(u).
-2*u**2*(u + 1)*(3*u - 1)/3
Let s(t) be the first derivative of -t**6/27 - 2*t**5/15 + 8*t**3/27 - 113. Factor s(f).
-2*f**2*(f - 1)*(f + 2)**2/9
Let q(g) be the first derivative of g**6/6 + 2*g**5/5 - 6*g**4 - 32*g**3/3 + 64*g**2 + 164. Find y, given that q(y) = 0.
-4, 0, 2, 4
Suppose 3*y = 4*y + 3. Let v be 4/(-4)*(3 + y). Factor v*g**2 + 2*g - 2/3*g**3 - 4/3.
-2*(g - 1)**2*(g + 2)/3
Let p(w) = -w**3 - 2*w**2 + 9*w + 2. Let a be p(-4). Let h be (a/(-14))/((-6)/(-12)). Factor 0*f + 0 + 0*f**2 + h*f**3 - 2/7*f**5 + 0*f**4.
-2*f**3*(f - 1)*(f + 1)/7
Factor -146137*i**2 + 146137*i**2 + 2*i**3 - 2*i.
2*i*(i - 1)*(i + 1)
Let 2/11*w**5 + 2/11*w**4 - 8/11*w + 2*w**2 + 0 - 18/11*w**3 = 0. What is w?
-4, 0, 1
Find v such that 10*v - 30*v + 4*v**2 - 45*v - 648 - 23*v + 4*v = 0.
-6, 27
Let m(s) be the second derivative of s**9/60480 - s**8/26880 - s**7/50