Calculate d.
-3, -2
Let y be 3/15*(525/(-30))/(-7). Factor -y*m + 0 - 1/2*m**2.
-m*(m + 1)/2
Let k = -10546/9 + 1172. Solve k*c**2 + 44/9*c + 242/9 = 0 for c.
-11
Let y = 11 + 1. Suppose -f = 2*f - y. Factor 5*d**f + 18*d**2 + 3 + 0*d**4 + 12*d - d**4 - d**4 + 12*d**3.
3*(d + 1)**4
Let p(u) be the second derivative of u**7/84 - u**6/30 - u**5/8 + u**4/4 - 380*u. Factor p(c).
c**2*(c - 3)*(c - 1)*(c + 2)/2
Let k be (-2)/1*((-342)/27)/19. Factor 2/9*i**4 + 0 + 8/3*i**2 + 16/9*i + k*i**3.
2*i*(i + 2)**3/9
Let z(a) = -a**3 + a. Let x(g) = 6*g**3 - 2*g**2 - 6*g + 2. Let u(q) = 2*x(q) + 10*z(q). Factor u(j).
2*(j - 2)*(j - 1)*(j + 1)
Let t be ((-4)/20 - (-2971)/(-90)) + 2. Let z = t + 341/10. Let -2/3 - 8/9*f**2 - z*f = 0. Calculate f.
-3, -1/4
Let z = 22928/7 - 3272. Factor -12/7*d**2 - 16/7 - 2/7*d**3 - z*d.
-2*(d + 2)**3/7
Let u(a) be the first derivative of a**5/4 + 5*a**4/4 - 5*a**3/6 - 15*a**2/2 - 2*a + 13. Let f(o) be the first derivative of u(o). What is z in f(z) = 0?
-3, -1, 1
Let u(v) = 38*v**3 + 29*v**2 + 2*v - 11. Let d(h) = -13*h**3 - 10*h**2 - h + 4. Let p(f) = 11*d(f) + 4*u(f). Factor p(c).
3*c*(c + 1)*(3*c - 1)
Let b(t) be the second derivative of 2*t**6/255 - 33*t**5/170 + 109*t**4/102 + 75*t**3/17 + 81*t**2/17 + 11*t - 5. Let b(j) = 0. What is j?
-1, -1/2, 9
Factor 4/7*s**3 + 8*s**2 + 0 + 0*s.
4*s**2*(s + 14)/7
Let 7*u**2 - 4*u**2 + 10*u**2 - 15*u**4 - 15 + 7*u**2 + 10*u**2 - 5*u**5 + 10*u**3 - 5*u = 0. Calculate u.
-3, -1, 1
Let b = -6529 - -6531. Factor 2/3 - 1/3*s**b + 1/3*s.
-(s - 2)*(s + 1)/3
Let h(y) = y**3 + y**2 - y + 1. Let n(l) = 3*l**3 - 27*l**2 + 30*l + 6. Let p(k) = 6*h(k) - n(k). Factor p(q).
3*q*(q - 1)*(q + 12)
Let a(o) be the third derivative of 0*o**5 + 1/16*o**4 + 0*o + 9*o**2 - 1/240*o**6 + 0 + 1/6*o**3. Determine v, given that a(v) = 0.
-1, 2
Let f(p) = -p**2 - 20*p + 75. Let z be f(-23). Let d(s) be the second derivative of 0*s**2 + 0*s**5 - 5*s - 1/60*s**z + 1/24*s**4 + 0 + 0*s**3. Factor d(u).
-u**2*(u - 1)*(u + 1)/2
Let t(g) be the first derivative of -1/3*g + 3*g**3 - 31 - 23/12*g**2. Factor t(n).
(2*n - 1)*(27*n + 2)/6
Let w = -9686 - -125926/13. Factor -w + 24/13*a - 18/13*a**2.
-2*(3*a - 2)**2/13
Factor 7*g**2 - 12*g**2 - 4*g**3 - 9*g - 8*g**2 + g**2.
-g*(2*g + 3)**2
Find r such that 5035*r + 98*r**3 + 2308*r**2 + 4*r**4 + r**4 + 557*r**2 - 6250 - 1410*r - 343*r**3 = 0.
-2, 1, 25
Let r = 7 - -8. Suppose -j - r = -4*j. Factor -6 - 11*w**4 - 10*w**4 + j*w**5 - 2*w**5 - 48*w**2 + 3*w**4 + 42*w**3 + 27*w.
3*(w - 2)*(w - 1)**4
Let n(u) be the first derivative of u**4/14 + 2*u**3/7 + 2*u**2/7 + 83. What is c in n(c) = 0?
-2, -1, 0
Let m(g) be the third derivative of -4*g**6/15 - 308*g**5/15 - 305*g**4/12 - 38*g**3/3 - 29*g**2 + 3*g. Factor m(h).
-2*(h + 38)*(4*h + 1)**2
Suppose 5*l = -5*r + 70, r - l - 16 = -3*l. Let u be (-52)/(-195)*10/r. Factor -4/9*n + 2/9 + u*n**2.
2*(n - 1)**2/9
Suppose -3*f - 92 = 4*z, f = -5*z - 8 - 8. Let c be (1/2)/((-9)/f). Determine t so that 0 + 0*t**c - 1/5*t**3 - 1/5*t**5 + 2/5*t**4 + 0*t = 0.
0, 1
Let h(d) = 4*d**3 - 3*d**2 + 7*d + 5. Let b be h(4). Let a = 1690/7 - b. Factor -12/7*p**2 + 9/7*p + a.
-3*(p - 1)*(4*p + 1)/7
Let v(m) = -m**3 - 6*m**2 + 1. Let k be v(-6). Let t be -11 - -10 - (0 - (2 + k)). What is n in 9/4*n - 3/2 - 3/4*n**t = 0?
1, 2
Let c = 78 - 73. Factor -4 + 28*m**3 + 15*m**2 + 4 + c*m + 5*m**4 - 13*m**3.
5*m*(m + 1)**3
Let p(x) be the second derivative of 0 + 0*x**2 + 0*x**5 + 6*x + 0*x**3 - 1/30*x**4 + 1/75*x**6. Solve p(t) = 0.
-1, 0, 1
Let f(j) = -5*j + 2. Let s be f(0). Suppose 0 = 4*b + 4*h - 28, -s*b - 19 = -6*b - h. Factor 1/2*x**2 - b*x + 8.
(x - 4)**2/2
Let c = 1549/6 + -578/3. Let n = -196/3 + c. Determine b, given that 0 - 1/3*b + n*b**2 = 0.
0, 2
Let b be (-33)/(-9) + (-230)/138. Find v, given that -2/5*v**4 + 2/5*v**b + 0 + 2/5*v - 2/5*v**3 = 0.
-1, 0, 1
Suppose 6*u - 3*u = -2*q - 498, 6 = -2*q. Let m = 821/5 + u. Factor -m*o**2 + 1/5*o + 2/5.
-(o - 2)*(o + 1)/5
Let x(a) be the second derivative of 5/12*a**3 - 1/8*a**5 + 5/8*a**2 + 5 + 0*a**4 - 1/24*a**6 - 5*a. Factor x(k).
-5*(k - 1)*(k + 1)**3/4
Let q(m) be the second derivative of m**6/30 - 13*m**5/4 - m**4/4 + 197*m**3/6 - 65*m**2 - m - 24. Solve q(h) = 0.
-2, 1, 65
Let u(d) be the second derivative of -d**8/336 - d**7/105 + d**6/120 + d**5/30 - 29*d**2/2 + 29*d. Let f(h) be the first derivative of u(h). Factor f(m).
-m**2*(m - 1)*(m + 1)*(m + 2)
Let r(g) = -10*g**2 - 16*g - 11. Let f(b) = 2*b**2 + 3*b + 2. Let p(w) = 11*f(w) + 2*r(w). Let q(o) = o**2 + o + 1. Let d(h) = 4*p(h) - 4*q(h). Factor d(t).
4*(t - 1)*(t + 1)
Let r = 12487 + -12483. Factor 216/7*v**3 + 0*v - 32/7*v**2 - 14*v**5 - 48*v**r + 0.
-2*v**2*(v + 4)*(7*v - 2)**2/7
Factor 2*d**5 - 6*d**3 + d**4 + 25*d - 21*d + d**4 + 3*d**2 - 5*d**2.
2*d*(d - 1)**2*(d + 1)*(d + 2)
Let m = -895 + 895. Suppose y = -2*u + 9, -4 = 5*y - 2*u - 13. Factor y*j**3 + m*j - 1/2*j**4 - 9/2*j**2 + 0.
-j**2*(j - 3)**2/2
Let k(r) = r**2 - 780. Let s be k(28). Factor 1/3*d**5 - 4/3*d**2 - 4/3*d**s + 1/3*d + 2*d**3 + 0.
d*(d - 1)**4/3
Let -9*j**2 - 6*j**2 + 20*j + 36*j**2 + 5*j**3 + 4*j**2 + 0*j**2 = 0. Calculate j.
-4, -1, 0
Let g(v) be the first derivative of -v**4/6 - v**3 + 10*v**2 - 33*v + 2. Let w(f) be the first derivative of g(f). Factor w(h).
-2*(h - 2)*(h + 5)
Let m be (-6667)/678 + (-10)/(-1). Let f(o) be the second derivative of -1/72*o**4 + 0 - m*o**2 + 6*o - 1/12*o**3. Determine c so that f(c) = 0.
-2, -1
Let w(u) be the first derivative of -9/7*u**4 - 1/7*u**6 + 8/7*u**3 + 0*u - 58 + 24/35*u**5 - 3/7*u**2. Factor w(g).
-6*g*(g - 1)**4/7
Suppose 5*t = -5*w - 0 + 10, 2*t = -w + 4. Let m(p) be the second derivative of w*p**2 + 1/15*p**3 + 1/25*p**5 + 1/12*p**4 + 0 + 1/150*p**6 - 4*p. Factor m(c).
c*(c + 1)**2*(c + 2)/5
Let q(u) = 60*u**2 + 525*u - 80. Let h(b) = -30*b**2 - 262*b + 39. Let m(l) = -5*h(l) - 3*q(l). Determine c, given that m(c) = 0.
-9, 1/6
Let h(g) = g**2 + g. Let o(j) = 134*j**2 + 55*j - 2*j + 8 + 9*j. Let d be ((-6)/8)/((-2)/(-16)). Let q(k) = d*h(k) - o(k). Find v, given that q(v) = 0.
-2/7, -1/5
Let w be (7 + 1692/(-243))*1. Let r(g) be the first derivative of 0*g**2 + w*g**6 + 2/27*g**3 - 4 - 1/18*g**4 - 2/45*g**5 + 0*g. Solve r(x) = 0.
-1, 0, 1
Let p(t) be the first derivative of 9*t + 3*t**2 - 29 + 1/3*t**3. Solve p(q) = 0 for q.
-3
Let x(p) be the second derivative of 0 + 0*p**2 - 1/70*p**6 + 0*p**3 + 12*p - 1/98*p**7 + 3/140*p**5 + 1/28*p**4. Factor x(w).
-3*w**2*(w - 1)*(w + 1)**2/7
Solve 28 + 6 - 3*k**2 - 2*k**2 + 0*k**2 + 6 + 10*k = 0 for k.
-2, 4
Let b(l) be the second derivative of 3*l**7/56 - l**6/24 - 5*l**5/24 - 5*l**4/24 + l**3 - 10*l. Let j(y) be the second derivative of b(y). Factor j(f).
5*(f - 1)*(3*f + 1)**2
Let k(c) be the first derivative of 9*c**4 - 92*c**3/3 - 96*c**2 - 64*c - 240. Suppose k(y) = 0. What is y?
-1, -4/9, 4
Let o be (12/10)/(11 + (-572)/55). Factor 0 + 0*z - 2/11*z**o + 2/11*z**3.
2*z**2*(z - 1)/11
Factor 56/5*m**2 + 2/5*m**4 - 18 - 4*m**3 - 12/5*m.
2*(m - 5)*(m - 3)**2*(m + 1)/5
Let s(k) be the third derivative of 2*k**7/315 + k**6/45 - 7*k**5/45 + 2*k**4/9 + 10*k**2 - 2*k. Solve s(z) = 0.
-4, 0, 1
Find y such that 32/5*y + 34/5 - 2/5*y**2 = 0.
-1, 17
Factor 4*d + 8*d**2 - 4*d - 19*d**3 + 10*d**4 - 5*d**3.
2*d**2*(d - 2)*(5*d - 2)
Let m = -127 + 147. Determine k, given that 15*k**5 - 90*k**4 - 720*k**2 - 320*k - 124*k**3 - 172*k**3 - 189*k**3 - m*k**5 = 0.
-8, -1, 0
Let y(k) = 79*k**3 - 2*k**2 - 3*k - 2. Let b be y(-1). Let m be (-10)/b - (-60)/32. Factor -1/3*f**m - 4/3*f - 4/3.
-(f + 2)**2/3
Let n be ((-3 - -6) + -2)*((-96)/(-18) - 5). Solve 1/9*g**2 - 1/9 - n*g**3 + 1/3*g = 0 for g.
-1, 1/3, 1
Let n(k) be the third derivative of -k**6/150 + k**5/40 - k**4/40 + 4*k**3 + 41*k**2. Let s(g) be the first derivative of n(g). Factor s(h).
-3*(h - 1)*(4*h - 1)/5
Let h(u) be the first derivative of -54*u**6/7 + 2124*u**5/35 - 400*u**4/7 - 6224*u**3/21 - 1216*u**2/7 - 256*u/7 - 139. Determine w so that h(w) = 0.
-1, -2/9, 4
Let l(w) be the third derivative of w**7/6720 - w**6/640 + w**5/160 + w**4/4 + w**2. Let u(x) be the second derivative of l(x). Factor u(a).
3*(a - 2)*(a - 1)/8
Suppose -5*p + 25 = -0*p. Suppose -4*o + 12 = 2*f, p*o + 32 + 19 = 3*f. Suppose 3*c**4 - 33*c**2 - f*c + 3 +