(3 + -6) + 3/1. Let x = b + 0. Solve 0*p**2 - 2/3*p + 0 + 2/3*p**x = 0 for p.
-1, 0, 1
Let l = -16325 + 32655/2. Find j, given that 5/2*j**4 + 15/2*j**2 + 15/2*j**3 + 0 + l*j = 0.
-1, 0
Let s be (-133)/(-114) - (-2)/(-12). Let t be (1 + (-7)/4)*(s + -4). Solve 9/4*f**3 + 5/4*f**2 - t*f - 7/4*f**4 + 1/2 = 0 for f.
-1, 2/7, 1
Let v = 910 + -910. Factor 5/2*d**2 + v*d**3 + 0 + 5/4*d**5 - 5/4*d - 5/2*d**4.
5*d*(d - 1)**3*(d + 1)/4
Let d = -101336/11 + 9213. Factor d*p + 2/11 + 9/11*p**2 + 5/11*p**3 + 1/11*p**4.
(p + 1)**3*(p + 2)/11
Let q(r) = r**3 + 9*r**2 - 7*r. Suppose -3*y = -3*g - 24, 4*g - 1 = 3*y - 30. Let k(x) = -x**3 - 4*x**2 + 3*x. Let h(b) = g*k(b) - 2*q(b). Solve h(p) = 0.
-1, 0, 1/3
Factor -29*y**2 + 1314*y**2 + 8700*y + 1379*y**2 - 276*y**2 + 300*y**3 + 4205 + 2402*y**2 + 5*y**4.
5*(y + 1)**2*(y + 29)**2
Factor -47 + 26 + 23 + 2*l + 2*l + 2*l**2.
2*(l + 1)**2
Let i be 5/(150/31638)*-1. Let o = -1051 - i. Solve 2/5*a**2 - 12/5*a + o = 0.
3
Let b(m) = m**3 - m**2 - 2*m - 36. Let r(u) = 2*u**2 - 3*u + 1. Let j be r(5). Let v(f) = -4. Let t(g) = j*v(g) - 4*b(g). Factor t(z).
-4*z*(z - 2)*(z + 1)
Let -8836/5 + 376/5*y - 4/5*y**2 = 0. Calculate y.
47
Let w(s) be the first derivative of s**6/45 - s**5/15 + s**4/18 - 5*s + 3. Let r(u) be the first derivative of w(u). Factor r(h).
2*h**2*(h - 1)**2/3
Suppose -381 = -161*i + 102. Factor 0 - 3/5*t**2 - 3/5*t**5 - 9/5*t**4 - 9/5*t**i + 0*t.
-3*t**2*(t + 1)**3/5
Let o(q) be the first derivative of -q**4/10 + 34*q**3/15 + 38*q**2/5 - 207. Suppose o(p) = 0. What is p?
-2, 0, 19
Let h(q) be the first derivative of -q**6/105 - q**5/70 + 5*q**4/42 - q**3/7 - 39*q - 10. Let l(c) be the first derivative of h(c). Factor l(n).
-2*n*(n - 1)**2*(n + 3)/7
Let i(p) = 1. Let j(v) = -v**2 - 2*v + 3. Let z = 1 - 4. Suppose 34*k - 35*k + 1 = 0. Let d(a) = k*j(a) + z*i(a). Factor d(w).
-w*(w + 2)
Let m(d) be the second derivative of 9*d + 0*d**3 + 1/11*d**5 + 1/165*d**6 + 25/66*d**4 + 0 + 0*d**2. Factor m(i).
2*i**2*(i + 5)**2/11
Let u(k) = k**3 + k**2 - 5*k - 2. Let x be u(-2). Let p(l) be the second derivative of 0 + 1/5*l**2 + l - 1/30*l**x + 0*l**3. Factor p(i).
-2*(i - 1)*(i + 1)/5
Let i(t) be the third derivative of t**8/13440 - t**6/480 + t**5/2 - t**2. Let v(g) be the third derivative of i(g). What is f in v(f) = 0?
-1, 1
Let g(n) = -3*n + 26. Let l = -101 + 109. Let b be g(l). Solve 3/5*d**b + 12/5 - 12/5*d = 0 for d.
2
Let u(o) = -o + 10. Let p be u(6). Suppose r - p - 7 = 0. Factor -4*n**3 + 19*n - 6*n**2 - n**4 + 8 + 3*n**4 - r*n.
2*(n - 2)**2*(n + 1)**2
Let z(w) be the third derivative of -w**5/12 - 5*w**4/12 - 5*w**3/6 - 143*w**2. Let z(s) = 0. Calculate s.
-1
Let b(g) be the first derivative of g**3/8 + 105*g**2/8 + 3675*g/8 + 83. Find p such that b(p) = 0.
-35
Let b(m) be the second derivative of 2/3*m**3 + 12*m**2 - 22*m + 0 + 1/72*m**4. Solve b(y) = 0 for y.
-12
Let f(i) = -4*i**3 - 4*i**2 + 34*i + 40. Let t(n) = n - 2. Let x(k) = f(k) + 2*t(k). Factor x(g).
-4*(g - 3)*(g + 1)*(g + 3)
Let v = 121/3 + -578/15. Let p = 37 + -37. Solve 9/5*i**2 + p - 3/5*i + 3/5*i**3 - v*i**4 = 0.
-1, 0, 1/3, 1
Let g(z) be the first derivative of -z**6/11 + 6*z**5/11 + 3*z**4/22 - 10*z**3/11 - 36. Solve g(y) = 0 for y.
-1, 0, 1, 5
Let k(t) = -t + 1. Let n(b) = -b**2 - 4 - 4 + 3*b + 6. Let v(q) = 6*k(q) + 2*n(q). Determine s so that v(s) = 0.
-1, 1
Let v = 12 - 8. Suppose 31*d - 14*d - 34 = 0. Factor 4/3*m**d + 8/3 + v*m.
4*(m + 1)*(m + 2)/3
Suppose 4*d - 11*d + 35 = 0. Let a be (30/d)/(-12)*-4. Factor -1/8*b + 0 - 1/8*b**a.
-b*(b + 1)/8
Let h(k) = k**2 + 3*k - 2. Let m be h(-4). Suppose 0 = -20*g + 16*g. Factor -3*s**2 + 6*s + 6*s**2 + g + 4 - s**m.
2*(s + 1)*(s + 2)
Let z(q) = 6*q - 1. Let b be z(2). Suppose -10*c = -b - 29. Factor 0*d**3 + 0 - 2/13*d + 2/13*d**5 - 4/13*d**2 + 4/13*d**c.
2*d*(d - 1)*(d + 1)**3/13
Let o(p) be the second derivative of -p**4/6 - 4*p**3/3 - 3*p**2 + 21*p. Let a be o(-3). Find d such that 2*d**3 + 0 + a*d - 4/3*d**2 = 0.
0, 2/3
Let 2/15*t**3 - 4/5*t**2 + 6/5*t + 0 = 0. Calculate t.
0, 3
Let b(o) = 2*o**2 + 16*o - 20. Let i(z) = -37 + 15 + 22 - z**2. Let n(l) = b(l) - 2*i(l). Let n(c) = 0. What is c?
-5, 1
Let z(j) be the first derivative of 4*j**3/3 + 158*j**2 + 312*j - 91. Factor z(x).
4*(x + 1)*(x + 78)
Let 0 + 1/4*b**3 + 7/4*b - 2*b**2 = 0. Calculate b.
0, 1, 7
Let z(g) be the third derivative of -g**8/168 - g**7/21 - g**6/60 + 17*g**5/30 + 11*g**4/6 + 8*g**3/3 - 217*g**2. Solve z(a) = 0.
-4, -1, 2
Suppose 3*a + 5 - 43 = -5*j, -a + 15 = 2*j. Determine m so that 0*m + 3*m + 5*m**4 - 3 - 2 + j*m - 10*m**3 = 0.
-1, 1
Let o(t) be the first derivative of t**5 + 25*t**4 + 90*t**3 + 130*t**2 + 85*t - 25. Factor o(u).
5*(u + 1)**3*(u + 17)
Let g = -2685 + 322207/120. Let y(f) be the third derivative of 0*f**4 + 0*f**3 - g*f**7 - 7/120*f**6 - 2*f**2 + 0*f - 1/60*f**5 + 0. Solve y(n) = 0.
-2/7, 0
Let d = 243 + -2179/9. Suppose s + b = 1 + 2, 4*s - 7 = b. Let 16/9*c + 10/9*c**s + d + 2/9*c**3 = 0. Calculate c.
-2, -1
Let a be (11/(-3))/(1/(-6)). Let u be (-33)/a*(-20)/6. Find p such that 5 - 75*p + 11 + u*p**2 - 2*p**3 + 7*p**2 + 51*p = 0.
2
Let g(j) = -j**3 - 22*j**2 + 4. Suppose -50*x + 32 = -42*x. Let t(u) = -u**3 - u**2 + 1. Let i(w) = x*t(w) - g(w). Factor i(l).
-3*l**2*(l - 6)
Let k(g) be the third derivative of -g**6/1020 + g**5/17 - 14*g**4/51 - g**2 - 155*g. Suppose k(j) = 0. Calculate j.
0, 2, 28
Let a(m) be the third derivative of m**5/60 - m**4/4 - 8*m**3/3 - 33*m**2 + 3*m. Find j, given that a(j) = 0.
-2, 8
Suppose -c + 6 = 2*b + 8, 2*c = -b - 1. Factor -4/3*d**2 - 32/3*d**3 + 0*d - 49/3*d**5 + c - 77/3*d**4.
-d**2*(d + 1)*(7*d + 2)**2/3
Suppose 0 = 5*r - 5*m - 10, 21*m = -r + 26*m - 2. Let h(t) be the first derivative of -4/3*t**r + 4/3*t**2 - 2/15*t**5 - 2/3*t - 10 + 2/3*t**4. Solve h(p) = 0.
1
Let z(f) = f + 11. Let w be z(-8). Find x such that 13*x + 16*x - 29*x - x**4 + 4*x**3 - w*x**2 = 0.
0, 1, 3
Let a(s) be the second derivative of -s**5/5 - s**4/3 + 4*s**3/3 - 24*s. Suppose a(y) = 0. What is y?
-2, 0, 1
Let k be 125/350*4/15. Suppose -4/21*w + k*w**2 + 4/21*w**3 + 0 - 2/21*w**4 = 0. Calculate w.
-1, 0, 1, 2
Let z(g) be the third derivative of -5*g**8/336 + 4*g**7/21 - 11*g**6/12 + 2*g**5 - 15*g**4/8 + 16*g**2 + 2*g. Factor z(w).
-5*w*(w - 3)**2*(w - 1)**2
Let n be 12 + (2324/(-98) - -13). Solve n*d**4 + 0*d**2 + 0*d + 0 - 6/7*d**3 = 0 for d.
0, 2/3
Let d = -28 - -33. Determine h, given that -5*h**2 + 2 + d*h**4 + 2*h**5 + 3*h - 2 - 5*h = 0.
-2, -1, -1/2, 0, 1
Let k(u) = u**3 - 4*u**2 - 2*u + 5. Let i be k(4). Let b be ((-26)/10 - i)*2. Factor -18/5*r**2 - b - 22/5*r.
-2*(r + 1)*(9*r + 2)/5
Factor 9 + 6 + 47 + 4*v**4 + 2 - 160*v + 132*v**2 - 40*v**3.
4*(v - 4)**2*(v - 1)**2
Factor -19/2*l + 1/6*l**2 + 0.
l*(l - 57)/6
Let s(w) be the second derivative of -4/25*w**5 + 7/30*w**4 - 13/75*w**6 + 0 + 0*w**2 + 2/15*w**3 + 4/35*w**7 + 17*w. Find h, given that s(h) = 0.
-2/3, -1/4, 0, 1
Let x(b) be the third derivative of b**10/50400 - b**9/10080 + 11*b**5/20 - 28*b**2. Let y(t) be the third derivative of x(t). Factor y(j).
3*j**3*(j - 2)
Let p(w) = -7*w**5 - 3*w**4 - 13*w**3 - w**2 + 5*w + 4. Let h(y) = 6*y**5 + 4*y**4 + 12*y**3 - 6*y - 4. Let u(x) = 5*h(x) + 4*p(x). Factor u(n).
2*(n - 1)*(n + 1)**3*(n + 2)
Factor 3/4*z**2 - 105/4*z + 51/2.
3*(z - 34)*(z - 1)/4
Factor -144*r - 109*r**3 + 20*r**2 + 44*r + 55*r**3 + 53*r**3.
-r*(r - 10)**2
Let b(w) be the second derivative of w**7/105 + 6*w**6/25 + 93*w**5/50 + 8*w**4/3 - 64*w**3/5 + 33*w. Solve b(k) = 0 for k.
-8, -3, 0, 1
Let x(w) be the first derivative of -2*w**5/45 - 4*w**4/9 - 4*w**3/9 + 8*w**2/9 + 14*w/9 + 34. What is v in x(v) = 0?
-7, -1, 1
Let s be 1 + 12102/66 + 3. Let c = s + -187. Factor -6/11 + 2/11*h**2 - c*h.
2*(h - 3)*(h + 1)/11
Let u(t) be the third derivative of -5*t**8/336 - t**7/14 + 11*t**6/24 + t**5/4 - 25*t**4/12 + 135*t**2 - 1. Let u(s) = 0. What is s?
-5, -1, 0, 1, 2
Let c(k) be the first derivative of -k**7/2240 - k**6/960 + k**5/320 + k**4/64 - 20*k**3/3 + 10. Let f(q) be the third derivative of c(q). Factor f(z).
-3*(z - 1)*(z + 1)**2/8
Let b = 75 + -36. Let i = b + -31. Solve -8 - 10*r**2 + 2*r + i*r**3 + 8 = 0 for r.
0, 1/4, 1
Suppose 12 = 3*v, -v = 3*c - 5*v + 10. Suppose 0 = -4*o + c + 6. Let -1