e b(r) = 0 for r.
-21, 1/4
Let z(l) = -5*l + 115. Let a be z(23). Find r, given that 0 + 2/17*r**2 + a*r = 0.
0
Let s be (64 - 62)*2/2. Suppose s - 5/3*h + 1/3*h**2 = 0. Calculate h.
2, 3
Factor 2*l + 0 + 7/5*l**2 + 1/5*l**3.
l*(l + 2)*(l + 5)/5
Let o(p) = -40 - 12*p - 2*p**2 - 32 - 17*p. Let r(n) = n**2 + 15*n + 36. Let c(m) = -6*o(m) - 10*r(m). Factor c(j).
2*(j + 6)**2
Let r(k) = -20*k**2 - 308*k - 8. Let b(d) = -7*d**2 - 101*d - 3. Let m(u) = 8*b(u) - 3*r(u). Factor m(n).
4*n*(n + 29)
Let y = -4/697 - -7751/14637. Let z = 6/7 - y. Factor z*u**2 + 2/3*u + 1/3.
(u + 1)**2/3
Suppose 2*f - 7 + 17 = 2*o, 4*f + o = -15. Let g = f + 9. Factor 7*u - g*u + 6*u - 4*u**2.
-4*u*(u - 2)
Determine z, given that -293 - z**3 - z + 14*z - 10*z**2 + 315 = 0.
-11, -1, 2
Let l(d) = -5*d. Let g(s) = -s**2 - 11*s - 9. Let u = -14 - -9. Let v(w) = u*g(w) + 5*l(w). Factor v(n).
5*(n + 3)**2
Let 3/2*y**4 + 120*y + 3/2*y**5 - 72 - 63/2*y**3 - 39/2*y**2 = 0. Calculate y.
-4, -3, 1, 4
Let q(v) = -6*v**3 - 11*v - 5*v**3 - 2*v**3 + 13 - 47*v**2 - 10*v**3. Let a(p) = 4*p**3 + 8*p**2 + 2*p - 2. Let r(w) = -34*a(w) - 6*q(w). Factor r(f).
2*(f - 1)*(f + 1)*(f + 5)
Let i(f) be the third derivative of -f**6/360 + 7*f**4/72 + f**3/3 - 13*f**2 - 3. Factor i(z).
-(z - 3)*(z + 1)*(z + 2)/3
Let 1/6*k**2 + 20449/6 + 143/3*k = 0. Calculate k.
-143
Let q(b) be the third derivative of 0 + 10*b**2 + 0*b**3 + 1/840*b**8 + 0*b + 0*b**7 + 0*b**5 + 1/60*b**4 - 1/150*b**6. Find o such that q(o) = 0.
-1, 0, 1
Let d = 55 + -43. Let b be 0/(d/(-4)) - 3/(-1). Factor 0*o + 8/7*o**4 - 10/7*o**b + 4/7*o**2 + 0 - 2/7*o**5.
-2*o**2*(o - 2)*(o - 1)**2/7
Let l(a) = -a**3 + 13*a**2 - 12*a + 4. Let f be l(12). Suppose 0 = f*m - 9*m + 50. Determine d so that 3 - m*d**2 + 19*d**4 + 5*d**5 - 9*d**4 - 3 - 5*d**3 = 0.
-2, -1, 0, 1
Let p be (-10 + (-198)/(-24))/(14/(-4)). Let 1/2*q**4 + 0*q**2 + q - p - q**3 = 0. What is q?
-1, 1
Let n = -8/21 - 1031/105. Let t = -199/20 - n. Let t*f**4 + 0 + 0*f**2 + 0*f - 1/4*f**3 = 0. What is f?
0, 1
Suppose 0 = -m - 2 + 7. Factor 3/7*w**m + 3/7*w**3 + 0 + 0*w + 0*w**2 + 6/7*w**4.
3*w**3*(w + 1)**2/7
Let c(n) = -2*n**2 + n - 5. Let a = 15 - 17. Let g(b) = b**2 - b + 2. Suppose -2*d - 2*d = 0, 5*j + 25 = -2*d. Let u(r) = a*c(r) + j*g(r). Factor u(q).
-q*(q - 3)
Let a(m) = 8*m - 141. Let y be a(18). Find x, given that 0 + 4/7*x**2 - 10/7*x**4 + 0*x - 6/7*x**y = 0.
-1, 0, 2/5
Let d(b) be the third derivative of b**11/266112 - b**9/16128 + b**8/8064 + 7*b**5/60 + 5*b**2. Let v(i) be the third derivative of d(i). Factor v(g).
5*g**2*(g - 1)**2*(g + 2)/4
Let q(j) be the first derivative of 4*j**5/25 + 63*j**4/5 + 1764*j**3/5 + 18522*j**2/5 - 129. Factor q(w).
4*w*(w + 21)**3/5
Let q be (2/(-14))/(4/8752*-2). Let i = q + -156. Factor -4/7*c - 2/7*c**4 + 0 + i*c**2 + 4/7*c**3.
-2*c*(c - 2)*(c - 1)*(c + 1)/7
Factor 63/4 + 3*q - 3/4*q**2.
-3*(q - 7)*(q + 3)/4
Determine v so that -18*v**4 - 59/4*v**3 + 35/2*v**2 + 1/2 + 20*v**5 - 21/4*v = 0.
-1, 1/4, 2/5, 1
Let y(r) be the third derivative of -r**7/5040 - r**6/540 - r**5/240 + 4*r**3/3 - 7*r**2. Let v(g) be the first derivative of y(g). Factor v(u).
-u*(u + 1)*(u + 3)/6
Suppose -16*j + 8*j = -40. Suppose -2*q + 2 = q + u, -5*q - j*u - 10 = 0. Factor 4/3*s**3 - 2/3*s**q + 0 + 2/3*s**4 - 4/3*s.
2*s*(s - 1)*(s + 1)*(s + 2)/3
Let v(z) = 11*z**2 + 6*z - 50. Let b(s) = 9*s**2 + 8*s - 47. Let d(t) = -6*b(t) + 5*v(t). Factor d(g).
(g - 16)*(g - 2)
Suppose -70 + 55 = -5*o. Let b(f) be the second derivative of -1/8*f**4 + 7/12*f**o - 2*f + 0 + 3/2*f**2. Determine p, given that b(p) = 0.
-2/3, 3
Suppose 7*a + 4 = 18. Let j be 1*2/(-7)*-3. What is y in -10/7*y - 2/7 - a*y**2 - j*y**3 = 0?
-1, -1/3
Let o(t) = 14*t**3 + 4*t**2 - 82*t - 224. Let q(k) = -5*k**3 - k**2 + 27*k + 75. Let c(f) = 3*o(f) + 8*q(f). Factor c(z).
2*(z - 4)*(z + 3)**2
Let t(n) = n**3 - 8*n**2 + 8*n - 4. Let y be t(7). Factor -11 + 10*l**y + 25*l**4 + 10*l**5 - 9 - 20*l**2 + 26 - 20*l - 11.
5*(l - 1)*(l + 1)**3*(2*l + 1)
Let f(s) be the first derivative of -s**4/84 - 2*s**3/7 - 34*s - 35. Let y(z) be the first derivative of f(z). Factor y(n).
-n*(n + 12)/7
Suppose 32/9*g + 56/9 + 2/9*g**2 = 0. What is g?
-14, -2
Suppose j - 14 = -10. Suppose 4*z - j = 12. Let -12*s**3 - s**5 + s**5 + 8*s**5 + s**5 + 12*s**z = 0. Calculate s.
-2, 0, 2/3
Let j(q) = -q**3 - 5*q**2 - 5*q - 2. Let n be j(-4). Let 4*u**3 + 11*u**2 + 8*u + 2*u**2 - u**n = 0. Calculate u.
-2, -1, 0
Let c(g) be the first derivative of g**7/280 - g**6/40 - g**5/10 - 9*g**3 - 14. Let k(v) be the third derivative of c(v). Solve k(o) = 0 for o.
-1, 0, 4
Let w(v) = -v**3 - 4*v**2 - 3*v + 3. Let c be w(-3). Determine l so that 2*l**4 - 4*l**4 - 2*l**c - 3*l**4 - 13*l**3 + 15*l**5 + 5*l**2 = 0.
-1, 0, 1/3, 1
Find m such that 63 - 19*m - 67 + 35*m - 16*m**2 = 0.
1/2
Let w(q) = 11*q - 8. Let y be w(7). Let s be ((-32)/12 + 3)*y. Factor -10*x**2 + 14*x**4 + 3*x - 8*x - 4 - 18*x**3 + 0*x**4 + s*x.
2*(x - 1)**2*(x + 1)*(7*x - 2)
Let h(a) be the first derivative of a**6/6 - a**5/5 - 3*a**4/4 + a**3/3 + a**2 - 132. Suppose h(b) = 0. Calculate b.
-1, 0, 1, 2
Let v(t) be the first derivative of 0*t**2 - 5/2*t**4 + 2*t**6 + 0*t + 6 - 4*t**3 + 34/5*t**5. Let v(o) = 0. Calculate o.
-3, -1/2, 0, 2/3
Let y(c) = -11*c**3 + 42*c**2 + 45*c + 28. Let x(n) = 5*n**3 - 20*n**2 - 23*n - 14. Let r(m) = 9*x(m) + 4*y(m). Factor r(v).
(v - 14)*(v + 1)**2
Suppose 349 = r + 349. Let i(g) be the second derivative of 2*g + 1/6*g**3 + 1/6*g**2 + r + 1/12*g**4 + 1/60*g**5. Factor i(c).
(c + 1)**3/3
Let q(h) be the first derivative of -5*h**6/6 - 3*h**5 - 5*h**4/2 + 407. Solve q(r) = 0 for r.
-2, -1, 0
Suppose -15*y - 6 = -12*y. Let w be (-108)/(-16) - (1 + y - -6). Determine r so that -1/2*r**4 + 1/2*r + w*r**3 - 7/4*r**2 + 0 = 0.
0, 1/2, 1, 2
Let y(m) = -m**5 - 2*m**4 - m**3 + m**2 + m + 1. Let n(r) = -6*r**5 + 28*r**4 + 74*r**3 + 41*r**2 + r + 1. Let z(c) = -n(c) + y(c). Factor z(d).
5*d**2*(d - 8)*(d + 1)**2
Factor 1/3*k**4 + 2*k**2 - 40/3*k + 8/3*k**3 + 25/3.
(k - 1)**2*(k + 5)**2/3
Let g(k) be the first derivative of -k**6/840 - 3*k**5/280 + k**4/14 + 16*k**3/3 + 26. Let q(u) be the third derivative of g(u). Factor q(r).
-3*(r - 1)*(r + 4)/7
Let x(u) be the second derivative of u**4/3 - 16*u**3/3 + 24*u**2 - 2*u + 172. Suppose x(b) = 0. Calculate b.
2, 6
Let g(t) = 7*t**2 + 2*t - 1. Let d be g(3). Suppose 0 = -7*i + d - 12. Suppose i*w + 2*w**4 - 2*w**4 - 2*w**4 - 16 - 2*w**3 + 12*w**2 + 0*w**4 = 0. Calculate w.
-2, 1, 2
Suppose 308 = 2*v - 896. Factor v*a - 2*a**3 - 602*a.
-2*a**3
Solve -34/3*f**3 + 0 + 0*f - 2/3*f**4 + 0*f**2 = 0.
-17, 0
Let x(o) = -16*o**2 - 2*o + 68. Let z(d) = d**3 - d**2 - d - 2. Let a(l) = -x(l) + 2*z(l). Let a(q) = 0. Calculate q.
-6, -3, 2
Factor -210*f + 178*f + 144*f - 4*f**2.
-4*f*(f - 28)
Let a(r) be the first derivative of -r**6/3 - 4*r**5/5 + 7*r**4/2 + 40*r**3/3 + 12*r**2 - 90. Determine g so that a(g) = 0.
-2, -1, 0, 3
Let x(v) = -50*v**4 + 77*v**2 + 4*v - 27. Let p(q) = 51*q**4 - 78*q**2 - 6*q + 27. Let i(t) = -2*p(t) - 3*x(t). Suppose i(j) = 0. What is j?
-1, -3/4, 3/4, 1
Suppose -5*w + 4 = 4. Suppose 4*n + v - 17 = -5, w = -5*n - 4*v + 4. Factor -1/2*g**2 - 1/2*g**n + 0 + 0*g + g**3.
-g**2*(g - 1)**2/2
Let i(w) be the first derivative of w**6/12 - 3*w**4/8 + w**3/3 - 3. Let i(x) = 0. What is x?
-2, 0, 1
Let h(i) be the third derivative of -i**8/84 + 8*i**7/105 - i**6/15 - 4*i**5/15 + i**4/2 - 81*i**2. Suppose h(l) = 0. What is l?
-1, 0, 1, 3
Let c be (-40)/5 + (-660)/(-75). Factor -2/5*k**3 + 2/5*k + 4/5*k**2 - c.
-2*(k - 2)*(k - 1)*(k + 1)/5
Let h(q) = -2*q**3 - 12*q - 12*q**2 + 3 - 11 + q**3. Let n be h(-11). Suppose 0 - 1/4*g - 1/4*g**4 - 3/4*g**n - 3/4*g**2 = 0. What is g?
-1, 0
Let r(y) be the first derivative of -1/5*y**3 + 1/100*y**5 - 11 - 3*y**2 + 1/40*y**4 + 0*y. Let i(l) be the second derivative of r(l). Factor i(m).
3*(m - 1)*(m + 2)/5
Let h = 116 - 112. Factor 16*q - 8*q + 27*q**3 + h*q - 60*q**2.
3*q*(q - 2)*(9*q - 2)
Let o(x) be the third derivative of 10/3*x**4 + 10*x**3 + 1/24*x**6 + 0 + 7/12*x**5 + 21*x**2 + 0*x. Factor o(s).
5*(s + 2)**2*(s + 3)
Let s(v) be the second derivative of 0 + 1/9*v**3 + 0*v**2 - 1/60*v**5 + 12*v + 1/36*v**4. Determine f so that s(f) = 0.
-1, 0, 2
Let z = 4 + -3. Su