etermine y so that d(y) = 0.
-2, 0
Let x be (-1 - -8) + (-1 - -2). Let m = x - 5. Solve 6*u**4 + m*u**2 + 2 - 4 - u**4 + 3*u - 2*u**4 - 7*u**3 = 0.
-2/3, 1
Let f be 6 - (-925)/(-115) - -2. Let u = 39/161 - f. Let 0 + 4/7*q**2 - 4/7*q**4 + 0*q**3 + 2/7*q - u*q**5 = 0. Calculate q.
-1, 0, 1
Let 0 - 36/5*n**2 - 6/5*n**3 - 16/5*n + 4/5*n**4 = 0. What is n?
-2, -1/2, 0, 4
Let p(d) be the third derivative of -28*d**2 + 0*d - 2/15*d**5 + 0 + 1/2*d**4 - 1/30*d**6 + 0*d**3. Solve p(a) = 0 for a.
-3, 0, 1
Suppose 23*n - 4*r + 16 = 25*n, -3*r - 66 = -5*n. Find a such that -21/2*a**4 - 3/2 + 9*a**3 - 9*a**5 + n*a**2 + 0*a = 0.
-1, -1/2, 1/3, 1
Let i(u) = 6*u**5 - 11*u**4 - 24*u**3 + 19*u**2 - 5. Let h(d) = -9*d**5 + 16*d**4 + 36*d**3 - 29*d**2 + 7. Let n(p) = -5*h(p) - 7*i(p). Factor n(m).
3*m**2*(m - 2)*(m - 1)*(m + 2)
Let w be (-2)/((-6)/(-5))*(104 + -107). Suppose 0 - 32/21*g + 80/21*g**4 + 64/21*g**2 + 48/7*g**3 + 2/3*g**w = 0. What is g?
-2, 0, 2/7
Let q(u) be the first derivative of -8*u**3/9 + 11*u**2/6 + 10*u/3 - 441. Factor q(m).
-(m - 2)*(8*m + 5)/3
Suppose -5 = 4*x - 9*x - p, -5*p = -2*x + 29. Factor -4*z + z**2 + z**x - 2*z - 5*z**2.
-3*z*(z + 2)
Let b(a) = -2*a**3 - 2*a**2 + 13*a + 23. Let t(d) = 6*d**3 + 6*d**2 - 38*d - 70. Let l(j) = 16*b(j) + 5*t(j). Solve l(k) = 0 for k.
-3, -1, 3
Let t(o) be the second derivative of 2*o**7/147 - 2*o**6/35 - 4*o**5/35 + 4*o**4/7 - 15*o - 5. Let t(f) = 0. Calculate f.
-2, 0, 2, 3
Let j = 3527/10 + -352. Let u(p) be the second derivative of j*p**3 - 3/5*p**2 + 0 - 1/4*p**4 + 6*p. Factor u(k).
-3*(k - 1)*(5*k - 2)/5
Solve 176*k + 98*k**2 + 344 - 135 - 6*k**3 - 137 = 0 for k.
-1, -2/3, 18
Suppose -33*j + 196 = -34*j. Let d = -194 - j. Determine w, given that 0*w**3 - 3/7*w**4 + 9/7*w**d + 0 - 6/7*w = 0.
-2, 0, 1
Let s(p) be the third derivative of p**10/6048 - 5*p**9/3024 + p**8/336 + p**4/3 + 31*p**2. Let y(l) be the second derivative of s(l). What is r in y(r) = 0?
0, 1, 4
Suppose 0*i + 7*i = 14. Suppose -18 + 5*p**i + 15*p - 3*p**2 + p**2 = 0. What is p?
-6, 1
Factor 56/13 - 2/13*q**2 + 54/13*q.
-2*(q - 28)*(q + 1)/13
Let c(b) = -b**3 + 3*b**2 + 5*b - 2. Let q be c(4). Let x(m) = -m**3 + m**2 + 6*m + 24. Let i be x(4). Factor i - 8/7*a**q - 2/7*a.
-2*a*(4*a + 1)/7
Let f(r) be the third derivative of r**5/60 - 5*r**4/24 - r**3/3 + 13*r**2. Let c(t) = t**2 - 4*t - 2. Let u(l) = 4*c(l) - 3*f(l). Solve u(o) = 0 for o.
-1, 2
Let f be ((-473)/(-473))/(1/(-2)*-1). Factor 2/3*t**3 + 2/3*t + 4/3*t**f + 0.
2*t*(t + 1)**2/3
Let d(v) be the first derivative of -v**5/15 + 11*v**4/6 + 23*v**3/9 + 342. Factor d(z).
-z**2*(z - 23)*(z + 1)/3
Solve -3 + 7/2*f - 1/2*f**2 = 0.
1, 6
Suppose -8*x = -6*x - 4. Let m(w) = -w**2 + 5*w - 1. Let v be m(x). Factor -27*b - v*b**2 - 26*b + 33*b.
-5*b*(b + 4)
Let q(z) be the first derivative of -52 + 0*z + 0*z**2 + 2/9*z**3 - 2/15*z**5 - 1/9*z**6 + 1/6*z**4. Let q(g) = 0. Calculate g.
-1, 0, 1
Let w(z) = -9*z**4 - 57*z**3 - 48*z**2 - 33*z - 33. Let q(y) = y**4 + 7*y**3 + 6*y**2 + 4*y + 4. Let i(x) = -33*q(x) - 4*w(x). Factor i(l).
3*l**2*(l - 2)*(l + 1)
Let m(j) be the third derivative of j**8/336 + j**7/10 + 19*j**6/15 + 113*j**5/15 + 24*j**4 + 128*j**3/3 - 320*j**2. Find i, given that m(i) = 0.
-8, -2, -1
Let f = 20 + -13. Suppose 12 = 2*l - f*l + 3*g, -l + 4*g - 16 = 0. Let -4*i**3 - 3*i + 7*i**3 + l*i**3 = 0. What is i?
-1, 0, 1
Let l = -1258/15 + 84. Let q(v) be the second derivative of -1/60*v**4 + 0 - 2*v - l*v**3 - 2/5*v**2. Suppose q(h) = 0. What is h?
-2
Suppose -8*o + 920 = -160. Let d = o - 133. Let d*r**4 + 7*r + 2*r**3 - 19/2*r**2 - 3/2 = 0. Calculate r.
-3, 1/2, 1
Let i(a) be the first derivative of a**4/14 - 8*a**3/21 - 183. Factor i(l).
2*l**2*(l - 4)/7
Let v(i) be the third derivative of 0 + 3/8*i**4 + 0*i + 27/4*i**3 + 12*i**2 + 1/120*i**5. Factor v(o).
(o + 9)**2/2
Solve 0 - 4/3*p**3 + 0*p - 8*p**2 = 0.
-6, 0
Let s = -4510/567 + 760/81. Let x = 2 - 2. Factor 2/7*b**3 + x + 8/7*b - s*b**2.
2*b*(b - 4)*(b - 1)/7
Factor 1/12*s**4 - 1/12*s**5 + 1/12*s**3 + 0*s + 0 - 1/12*s**2.
-s**2*(s - 1)**2*(s + 1)/12
Let y(m) = -m**2 + 9*m + 12. Let u be y(10). Suppose -u = -2*c + 6. Factor 2 - 6 + c + 2*a**2.
2*a**2
Let s be (-1)/(-4) - 57/(-12). Let g be (-8)/(-10)*s/2. Let p(y) = -y**2 + 8*y + 9. Let o(v) = v**2 - v. Let q(x) = g*o(x) + p(x). What is z in q(z) = 0?
-3
Suppose 6*c - 72 = -0*c. Let p be 10*3/c*(-4)/(-5). Factor z**3 + 0*z**p + 0*z + 0 - 1/2*z**4.
-z**3*(z - 2)/2
Let y(d) be the first derivative of -11*d**4/30 - 10*d**3/9 - 14*d**2/15 + 750. Factor y(s).
-2*s*(s + 1)*(11*s + 14)/15
Suppose 0 = -4*s - 3 + 27. Suppose 5*r + 2*d - 16 = 3*r, 15 = 3*d. Solve u + s*u**3 - 2*u**4 - 3*u**r - 3*u**2 + u**4 = 0 for u.
0, 1
Let l(w) be the third derivative of w**8/840 + w**7/350 - w**6/600 - w**5/100 - w**4/120 - 3*w**2 - 34. Let l(p) = 0. Calculate p.
-1, -1/2, 0, 1
Let v(m) be the second derivative of 1/9*m**2 + 0 + 1/9*m**3 + 34*m - 2/27*m**4. Factor v(x).
-2*(x - 1)*(4*x + 1)/9
Let m(k) = -2*k**3 + 45*k**2 - 40*k + 3. Let r(o) = 6*o**3 - 134*o**2 + 120*o - 8. Let t(b) = -8*m(b) - 3*r(b). Factor t(j).
-2*j*(j - 20)*(j - 1)
Let d be 6/1*(-1)/(-2). Factor -l**2 + 40*l**3 + 2*l**4 + 5*l**2 - 34*l**d.
2*l**2*(l + 1)*(l + 2)
Let k(u) = -u**2 + 8*u - 18. Let y be k(6). Let f be (6 + y)*(1 + (-1)/2). Factor -2/7*s + 2/7*s**3 + f + 0*s**2.
2*s*(s - 1)*(s + 1)/7
Solve 0 + 6/7*l**4 - 128/7*l + 352/7*l**2 + 94/7*l**3 = 0.
-8, 0, 1/3
Let q(c) = -11*c**3 - 4*c**2 + 20*c. Let d(u) = 4*u**3 + 2*u**2 - 6*u. Let l(j) = -8*d(j) - 3*q(j). Factor l(y).
y*(y - 6)*(y + 2)
Let u = -7/716 + 93/358. Determine p, given that -u*p**2 + p - 3/4 = 0.
1, 3
Let s = -111 + 113. Let c(u) be the third derivative of -1/105*u**7 + 1/30*u**5 + 0*u**6 + 0*u**3 - s*u**2 + 0*u + 0*u**4 + 0. What is w in c(w) = 0?
-1, 0, 1
Suppose -90*m = -98*m. Let h(s) be the second derivative of 1/3*s**4 + s + 2/5*s**6 + 1/21*s**7 - 8*s**2 + 11/10*s**5 + m - 4*s**3. Factor h(p).
2*(p - 1)*(p + 1)*(p + 2)**3
Let l = -79 - -83. Suppose -119*a**5 + 0*a**2 - a**3 - 3*a**4 + 120*a**5 + 5*a**l - 2*a**2 = 0. Calculate a.
-2, -1, 0, 1
Let k(p) be the third derivative of 9*p**2 + 0*p - 7/60*p**4 + 0 + 1/525*p**7 - 1/60*p**6 + 2/15*p**3 + 3/50*p**5. Find f, given that k(f) = 0.
1, 2
Suppose q - 8 = -g, -q + 1 = -4. Suppose 4*h - 27 = l, -g*h + 0*h + l = -21. Factor 2*a - h*a + 4 + a**2 + 0*a**2.
(a - 2)**2
Let v(o) = -10*o - 25. Let c be v(-4). Factor -3*k**3 - 30*k + c*k + 18*k.
-3*k*(k - 1)*(k + 1)
Let r(i) be the second derivative of i**5/4 + 155*i**4/4 + 3525*i**3/2 - 11045*i**2/2 - 55*i. Factor r(v).
5*(v - 1)*(v + 47)**2
Suppose 54*w + 438 = 127*w. Let d(j) be the third derivative of 1/30*j**5 + 0 + 0*j**3 + 1/18*j**4 + 0*j - 1/315*j**7 + w*j**2 + 0*j**6. Solve d(g) = 0 for g.
-1, 0, 2
Let -1/4*d**3 + 0 - 1/4*d - 1/2*d**2 = 0. Calculate d.
-1, 0
Let p(t) be the third derivative of 0*t - 1/20*t**4 + 7/150*t**5 + 0*t**3 + 0 - 7*t**2. Factor p(r).
2*r*(7*r - 3)/5
Suppose 4*z - 4*u + u - 12 = 0, 3*u + 3 = z. Let t(p) be the first derivative of -4*p + 2*p - 4*p - z*p**2 + 7 - p**3 + 3*p. Factor t(s).
-3*(s + 1)**2
Let v = 743/2380 - 9/340. Let m be ((-5)/15)/(1/(-9)). Determine k so that 2/7*k + 0 - v*k**m - 2/7*k**4 + 2/7*k**2 = 0.
-1, 0, 1
Let k(o) = 2*o**2. Let m be k(1). Let -9*b**3 + b**3 + 3*b**m + 7*b**3 = 0. What is b?
0, 3
Suppose v - 1 = 78*j - 76*j, -2*j - 51 = -11*v. Factor 15/4*g + 5 - 5/4*g**j.
-5*(g - 4)*(g + 1)/4
Let h(p) = p**3 - 5*p**2 + p + 1. Let b be h(5). Determine v so that -5*v**4 + 9*v**2 + 0 + 2*v + 6*v - 4 - b*v**3 - 2*v**3 = 0.
-2, -1, 2/5, 1
Let o(h) be the second derivative of 2*h + 0*h**4 + 0*h**3 + 1/180*h**6 - 1/60*h**5 + 1/252*h**7 + 0 + 0*h**2. Factor o(p).
p**3*(p - 1)*(p + 2)/6
Suppose 0 = -2*t + 8 - 2. Factor -4*f + 22*f**2 + 2*f**2 + 35*f**4 - 34*f**3 - 10*f**4 - 11*f**t.
f*(f - 1)*(5*f - 2)**2
Let p(x) be the third derivative of x**5/210 - 89*x**4/42 + 7921*x**3/21 + 96*x**2. Factor p(j).
2*(j - 89)**2/7
Let x be -4 - (0 + -7*2). Suppose 35*h**4 + x*h + 75*h**2 + 65*h**4 + 88*h**3 + 77*h**3 = 0. What is h?
-1, -2/5, -1/4, 0
Let b(l) be the first derivative of 2*l**3/9 + 50*l**2/3 + 1250*l/3 - 205. Factor b(z).
2*(z + 25)**2/3
Suppose 0 = 11*w - 13*w + 4. Factor -2*b**5 + 9*b**3 + 12*b**w + 0*b**