 7 = 4*s - 3*s. Factor -9*l**2 + 15*l**s - 5*l**2 - l**3 + 2*l.
-l*(l - 2)*(l + 1)
Let b(c) be the first derivative of 0*c + 3/2*c**2 - 3/4*c**4 + 0*c**3 - 6. Factor b(o).
-3*o*(o - 1)*(o + 1)
Let c = -40/43 - -21643/23220. Let y(r) be the third derivative of 0*r**3 + 0*r**4 - 6*r**2 + c*r**6 - 1/540*r**5 + 0 - 1/1890*r**7 + 0*r. Factor y(j).
-j**2*(j - 1)**2/9
Let p(d) be the first derivative of 5/7*d**2 + 1/21*d**6 - 2/35*d**5 - 4/21*d**3 - 14 - 3/7*d**4 + 6/7*d. Factor p(s).
2*(s - 3)*(s - 1)*(s + 1)**3/7
Let u(h) be the first derivative of 5/2*h**2 + 3/8*h**3 - 1/16*h**4 + 0*h + 1 - 1/80*h**5. Let x(k) be the second derivative of u(k). Factor x(w).
-3*(w - 1)*(w + 3)/4
Let w(y) be the third derivative of -y**7/1575 - y**6/900 + y**5/450 + y**4/180 + y**2 + 37*y. Suppose w(n) = 0. Calculate n.
-1, 0, 1
Let y(v) be the first derivative of -v**5/4 + 10*v**4/3 - 35*v**3/2 + 45*v**2 - 35*v - 17. Let b(t) be the first derivative of y(t). Let b(a) = 0. Calculate a.
2, 3
Let c(p) be the third derivative of p**7/525 + 17*p**6/150 + 59*p**5/50 + 21*p**4/5 - 330*p**2. Factor c(o).
2*o*(o + 3)**2*(o + 28)/5
Suppose 2*l - 5*t = 14, 0 = -5*t - 12 + 2. Let k(b) be the second derivative of 0 - 1/20*b**5 + 1/6*b**3 + 1/6*b**4 - b**2 + l*b. Determine u so that k(u) = 0.
-1, 1, 2
Factor 10/3*h**2 - h**4 - 1/3*h**5 + 3 - 7*h + 2*h**3.
-(h - 1)**3*(h + 3)**2/3
Let n be (-1)/2 + (3 - (-5 - -10))/(-3). Find d, given that n*d**2 + 6 - 2*d = 0.
6
Let k(z) be the second derivative of 0 + 4*z + 7/66*z**4 + 0*z**2 - 7/165*z**6 - 2/33*z**3 + 1/55*z**5. Suppose k(c) = 0. Calculate c.
-1, 0, 2/7, 1
Suppose d + 1 = -2*w - 2, 6 = -3*d - 5*w. Suppose -d*r + 5 = -1. Find k, given that 0*k**r + 0 + 0*k**4 - 1/3*k**5 + 0*k**3 + 0*k = 0.
0
Let q(w) be the third derivative of 3*w**8/28 - 8*w**7/35 - w**6/15 + 4*w**5/15 + w**4/6 - 322*w**2. Factor q(p).
4*p*(p - 1)**2*(3*p + 1)**2
Factor 161*z**2 - 64 + 496*z - 641*z**2 + 100*z**3 - 160*z.
4*(z - 4)*(5*z - 2)**2
Let u(j) = -j**2 + 25*j - 82. Let f be u(4). Solve 46/13*k + 80/13*k**f + 4/13 + 38/13*k**3 = 0.
-1, -2/19
Let l be 2 + (-21)/12 - 90/(-24). Suppose 0*w**3 + 4*w**2 - l*w**3 + 3*w**3 + 3*w**3 + 2*w = 0. Calculate w.
-1, 0
Let x(g) be the second derivative of g**6/60 + g**5/15 - g**4/12 - 2*g**3/3 - g**2 - 2*g. Let z(m) be the first derivative of x(m). Factor z(j).
2*(j - 1)*(j + 1)*(j + 2)
Let m be (23/12 + -1)*82/451. Let h(y) be the first derivative of -1/12*y**4 + 0*y**2 + 8 - 1/18*y**3 + 1/6*y**6 + m*y**5 + 0*y. Solve h(i) = 0.
-1, -1/3, 0, 1/2
Let f(h) be the first derivative of 5*h**4/8 - 41*h**3/12 + 11*h**2/2 - h - 19. Factor f(j).
(j - 2)**2*(10*j - 1)/4
Find f, given that 1/2*f**3 + 3*f + 0 - 5/2*f**2 = 0.
0, 2, 3
Let i(p) be the second derivative of -2*p**5/35 - 13*p**4/42 - 11*p**3/21 - 2*p**2/7 - 56*p - 1. Factor i(c).
-2*(c + 1)*(c + 2)*(4*c + 1)/7
Factor -16/7*u**3 - 8/7*u - 20/7*u**2 - 4/7*u**4 + 0.
-4*u*(u + 1)**2*(u + 2)/7
Let f be 40/99 + 86/(-387). Determine o, given that 2/11*o**3 + 2/11*o**4 - 2/11*o + 0 - f*o**2 = 0.
-1, 0, 1
Let s be 1190/(-85)*-2*(1 + (-52)/56). Find y such that -2*y**2 - 1/2*y**5 + s*y + 2*y**4 - 3/2*y**3 + 0 = 0.
-1, 0, 1, 2
Let m = 577/3 + -187. Let p be 65/10 + -7 + 1 + (-10)/(-12). Factor m*w + p*w**2 + 16/3.
4*(w + 2)**2/3
Find r, given that 20*r + 23*r**2 + 27 + 4*r - 26*r**2 = 0.
-1, 9
Let a(b) = 2*b**2 - 12*b - 16. Let t(k) = 4*k. Let p(s) = 2*a(s) + 4*t(s). Suppose p(w) = 0. Calculate w.
-2, 4
Determine t, given that 31/3 + 91/6*t - 1/2*t**2 = 0.
-2/3, 31
Factor -3*k**4 + 53*k - 106*k + k**4 - 6*k**3 + 53*k.
-2*k**3*(k + 3)
Suppose 0 = -475*u + 490*u - 30. Factor 3/7*s - 6/7 + 3/7*s**u.
3*(s - 1)*(s + 2)/7
Let x(q) be the first derivative of -q**6/16 - 3*q**5/20 + q**3/4 + 3*q**2/16 + 154. Let x(r) = 0. What is r?
-1, 0, 1
Let b(g) be the third derivative of -2/15*g**5 + 0 + 2/3*g**3 - 7/12*g**4 + 0*g + 8*g**2. Determine t so that b(t) = 0.
-2, 1/4
Let y(b) be the first derivative of -5*b**4/6 + 14*b**3/9 - 2*b**2/3 - 103. Solve y(f) = 0.
0, 2/5, 1
Let q(c) be the third derivative of -5*c**8/336 + c**7/14 - c**6/12 - c**5/6 + 5*c**4/8 - 5*c**3/6 - c**2 + 8. Find r, given that q(r) = 0.
-1, 1
Let v(w) be the third derivative of 1/840*w**8 + 1/75*w**5 + 0*w**3 + 0*w**6 - 2*w**2 - 1/60*w**4 + 0 - 2/525*w**7 + 0*w. Factor v(q).
2*q*(q - 1)**3*(q + 1)/5
Factor -10/11*b**2 + 24/11 - 16/11*b + 2/11*b**3.
2*(b - 6)*(b - 1)*(b + 2)/11
Let a be (12/24)/(1/34). Let j(y) = y**2 + y. Let u(o) = 3*o**2 + 3*o. Let f = -8 - -2. Let t(d) = a*j(d) + f*u(d). Let t(m) = 0. Calculate m.
-1, 0
Suppose -4*w - 15 = -23. Determine d, given that 389*d**4 + 19*d**2 + 130*d**3 - 424*d**4 + 21*d**w = 0.
-2/7, 0, 4
Let h(o) be the second derivative of -o**4/30 + 2*o**3/3 - 5*o**2 - o + 7. Suppose h(g) = 0. What is g?
5
Let o(i) = 2*i**3 - i. Let v(f) = -4*f**3 - 132*f**2 + 484*f - 464. Let j(l) = 4*o(l) + v(l). Factor j(t).
4*(t - 29)*(t - 2)**2
Suppose -27 - 57 = -21*h. Let f(n) be the first derivative of -6/5*n**2 - 4/15*n**3 + 0*n - h. Factor f(w).
-4*w*(w + 3)/5
Let w(f) be the first derivative of 0*f - 3/2*f**2 + 14 + f**3. Suppose w(h) = 0. Calculate h.
0, 1
Let m(o) be the first derivative of -11 + 0*o + 32*o**2 + 4/3*o**3. Factor m(a).
4*a*(a + 16)
Let z(c) be the third derivative of c**5/15 - 40*c**4/3 + 3200*c**3/3 - 393*c**2. Factor z(m).
4*(m - 40)**2
Let q(p) be the third derivative of -6*p**2 - 1/70*p**7 + 0 + 0*p - p**3 - 9/20*p**5 + 7/8*p**4 + 1/8*p**6. Factor q(j).
-3*(j - 2)*(j - 1)**3
Let l(h) be the third derivative of h**5/480 + 11*h**4/192 + 7*h**3/12 - 41*h**2. Find n, given that l(n) = 0.
-7, -4
What is q in -10/7*q**4 + 6/7*q**3 - 8/7*q + 2/7*q**5 + 10/7*q**2 + 0 = 0?
-1, 0, 1, 4
Let p(a) = 80*a**2 + 176*a + 116. Let w(f) = f**2 + f + 1. Let t(j) = -p(j) + 16*w(j). Factor t(h).
-4*(4*h + 5)**2
Suppose 3*o - m - 15 = 0, -5 = -2*o - 3*o - 5*m. What is b in -197*b**4 - 219*b**3 - 39*b**4 - 420*b**o - 42*b**2 + 152*b**4 - 432*b**5 - 3*b = 0?
-1/3, -1/4, 0
Let d(s) be the first derivative of 6 + 4/9*s**3 + 0*s + 0*s**2. Suppose d(l) = 0. Calculate l.
0
Let p(s) be the second derivative of -3*s - 1/18*s**4 + 2/9*s**3 + 0*s**2 + 0 - 1/30*s**5. Suppose p(n) = 0. Calculate n.
-2, 0, 1
Let s(y) be the first derivative of y**4/2 + 11*y**3/3 + 5*y**2 - 8*y + 80. Determine z so that s(z) = 0.
-4, -2, 1/2
Let g = -3272 + 3275. Let y(x) be the third derivative of 1/36*x**4 + 15*x**2 + 0*x + 0 + 0*x**g + 1/180*x**5. Factor y(f).
f*(f + 2)/3
Let j = -34 - -36. Find l, given that 4*l + 30*l**2 + 2*l + 48*l**4 + 11*l**j + 120*l**3 + 10*l**2 = 0.
-2, -1/4, 0
Let q(d) be the second derivative of d**7/2100 - d**6/180 + 2*d**5/75 - d**4/15 - 8*d**3/3 - 20*d. Let o(r) be the second derivative of q(r). Factor o(g).
2*(g - 2)**2*(g - 1)/5
Let a(f) be the first derivative of 5*f**4/4 + 10*f**3/3 + 5*f**2/2 + 11*f + 32. Let t(x) be the first derivative of a(x). Find u, given that t(u) = 0.
-1, -1/3
Let r(g) = -g**3 - g**2 - 7*g - 13. Let d(j) = j**2 + 2*j + 3 - j - 4. Suppose 5*u = -52 - 23. Let b(q) = u*d(q) + 3*r(q). Determine h, given that b(h) = 0.
-2
Factor -o**2 + 64642 + 4*o**2 + 1362*o + 89945.
3*(o + 227)**2
Let u = 33 - 30. Determine q so that 3*q**2 + 18*q**5 - 13*q**3 + u*q**3 + 0*q**3 + 3*q**4 - 2*q**3 = 0.
-1, 0, 1/3, 1/2
Let b(w) = 6*w**3 - w**2 + w - 1. Let p be b(1). Suppose -p*s = -10 - 5. Suppose 0 + 0*r**4 - 1/2*r**s + 1/4*r**5 + 0*r**2 + 1/4*r = 0. Calculate r.
-1, 0, 1
Let t(i) = -460*i**3 - 80*i**2 + 1025*i - 485. Let c = 15 + -13. Let f(a) = -17*a**3 - 3*a**2 + 38*a - 18. Let k(o) = c*t(o) - 55*f(o). Factor k(l).
5*(l - 1)*(l + 2)*(3*l - 2)
Let n(g) be the first derivative of 2*g**5 + 55*g**4/4 + 20*g**3/3 - 25*g**2/2 + 281. Factor n(v).
5*v*(v + 1)*(v + 5)*(2*v - 1)
Determine g so that 184*g**2 + 7056 - 488*g - 1233*g - 6*g**3 + 227*g + 2*g**3 - 942*g = 0.
4, 21
Let g = 8912 + -8908. Let -22/5*u**g + 14/5*u**2 - 6/5*u**5 - 18/5*u**3 + 8/5 + 24/5*u = 0. What is u?
-2, -1, -2/3, 1
Solve 40 - 152 + 6*u**3 - 2*u**3 + 128*u - 44*u**2 = 0.
2, 7
Suppose 15023 = -8*g + 15055. Factor -1/2*k**5 + 0*k**g + 0 + 4*k**2 + 3/2*k + 3*k**3.
-k*(k - 3)*(k + 1)**3/2
Let p(g) be the first derivative of 0*g + 5/8*g**4 + 5/3*g**3 - 28 + 0*g**2 - 1/2*g**5. Factor p(a).
-5*a**2*(a - 2)*(a + 1)/2
