/1785*w**7 + 0 - 3/952*w**8 + 0*w**5. Solve q(y) = 0 for y.
-1, -2/9, 0
Let d be (10/15)/(2/111). Suppose -4*j + d = 1. Find v, given that 9*v**3 - 3*v**4 + 9 - 3*v**2 + 2*v - j*v - 2*v - 3 = 0.
-1, 1, 2
Suppose 3 + 2 = -5*r, 4*x + 4*r = 8. Factor -4*k + 59*k**x - 3*k**2 + 11*k**2 - 63*k**3.
-4*k*(k - 1)**2
Factor 0*r**3 - 2*r**2 + 65*r - 50 - 5*r**2 - 7*r**3 - 3*r**2 + 2*r**3.
-5*(r - 2)*(r - 1)*(r + 5)
Let c be 4*(1*3)/(-1 - -4). Factor 3*d**2 - 3*d - c*d**2 - 4 - d + 8*d.
-(d - 2)**2
Suppose -3*v + 10 = -29. Factor -20*g**3 + v - 3*g**5 - 22*g**3 - 27*g - 18*g**4 - 48*g**2 - 19.
-3*(g + 1)**4*(g + 2)
Let m(v) = v - 24. Let j be m(11). Let n be j/(-3) + (-9 - -5). Let w**2 + 4/3 - 2/3*w**3 - n*w**4 + 8/3*w = 0. Calculate w.
-2, -1, 2
Solve 0*u - 3*u**4 + 0 - 9/2*u**3 - 2*u**2 - 1/2*u**5 = 0.
-4, -1, 0
Suppose -10*h**2 - 72 - 34*h - 3*h**3 + 2*h**3 - 3*h**3 + 2*h**3 + 98*h = 0. What is h?
-9, 2
Let c(n) be the second derivative of -n**4/6 - 65*n**3/3 - 64*n**2 - 7*n + 13. Determine k so that c(k) = 0.
-64, -1
Let w(v) be the second derivative of v**7/14 - 6*v**6/5 - 21*v**5/10 + 3*v**4 + 13*v**3/2 - 186*v - 2. Solve w(l) = 0.
-1, 0, 1, 13
Let b be 11/(22/10) + 3. Let q(g) be the first derivative of -8/3*g**3 + 3*g**4 - 5 - b*g - 14*g**2. Factor q(t).
4*(t - 2)*(t + 1)*(3*t + 1)
Let q be -4 + 342/(-24) + (-1)/(-4). Let v(g) = g**3 + 18*g**2 - g - 14. Let m be v(q). Factor w + 2/3*w**2 - 1/3*w**5 - 2/3*w**3 - w**m + 1/3.
-(w - 1)*(w + 1)**4/3
Let s(k) be the first derivative of 5*k**4/12 + 80*k**3/9 + 75*k**2/2 - 270*k + 18. Determine n, given that s(n) = 0.
-9, 2
Let q(r) = 14*r**2 + 7*r - 7. Let y be q(1). Suppose -15*m - y + 44 = 0. Factor 0*v + 0 + 2/11*v**m.
2*v**2/11
Let d(k) be the second derivative of -25*k**7/42 + 7*k**6/3 - 3*k**5/2 - 20*k**4/3 + 95*k**3/6 - 15*k**2 + 36*k. Factor d(t).
-5*(t - 1)**4*(5*t + 6)
Suppose 23 + 16 = 4*f + 5*m, 3*f - 24 = -2*m. Suppose f*d = 9 + 3. Factor -5 + 5*q + 7*q + 4*q - 4*q**d - 11.
-4*(q - 2)**2
Let i(f) = -f**2 - 36*f + 42. Let z be i(-37). Let s(x) be the second derivative of 0 - 3/110*x**z + 2/33*x**3 + 0*x**2 + 2*x - 1/66*x**4. Factor s(r).
-2*r*(r + 1)*(3*r - 2)/11
Let i(z) be the second derivative of -3*z**5/160 + 9*z**4/32 - 15*z**3/16 + 21*z**2/16 + z + 142. Solve i(d) = 0.
1, 7
Suppose 5*j + 30*m = 28*m - 2, 1 = 3*j - m. Factor 0 + 0*q**2 + j*q - 2/9*q**4 - 16/9*q**3.
-2*q**3*(q + 8)/9
Let p be (5/140)/(0 - 3/(-2)). Let h = 5/14 - p. Factor 2/3*c + h*c**3 + 0 + c**2.
c*(c + 1)*(c + 2)/3
Let v(c) be the second derivative of 2*c**7/21 + 8*c**6/15 - 27*c**5/5 + 38*c**4/3 - 32*c**3/3 - 135*c + 2. Determine u, given that v(u) = 0.
-8, 0, 1, 2
Let y(k) = -2*k**2 - 8*k + 3. Let s(t) = 20*t**2 + 72*t - 28. Let v(q) = -3*s(q) - 28*y(q). Factor v(b).
-4*b*(b - 2)
Suppose 14*l + 1389 = 1473. Let y(g) be the first derivative of 0*g - 3/10*g**4 - 2/15*g**l + 0*g**2 + 4 + 9/25*g**5 + 1/15*g**3. Let y(r) = 0. Calculate r.
0, 1/4, 1
Let s(n) be the third derivative of n**5/540 - n**4/27 - n**3/6 - 150*n**2. Let s(q) = 0. Calculate q.
-1, 9
Suppose 0*c = -c - 6. Let k be 66/24 - c/(-8). Let 2 + 2 + y**k + y - 6*y = 0. What is y?
1, 4
Factor -24/11 + 14/11*t - 2/11*t**2.
-2*(t - 4)*(t - 3)/11
Let k = -747 + 8965/12. Let p(j) be the second derivative of -1/10*j**5 + 0 - k*j**4 + 7*j + 1/60*j**6 + 9/4*j**2 + j**3. Find m such that p(m) = 0.
-1, 3
Let v be (3*(-16)/(-414))/((-70)/(-183)). Let f = -2/115 + v. Factor -f*t**2 + 2/7 + 0*t.
-2*(t - 1)*(t + 1)/7
Let f(z) = 3*z**4 - z**3 - 7*z**2 + z + 4. Let p(y) = 3 - 21*y**2 + 12*y**2 + 3*y**2 + 3*y**4 + 0. Let l(k) = 6*f(k) - 5*p(k). Determine g, given that l(g) = 0.
-1, 1, 3
Let n be ((-7)/((-35)/78))/(6/20). Let p = n + -49. Determine s so that -p*s - 1/2 - 9/2*s**2 = 0.
-1/3
Let s = 663 - 658. Let b(r) be the third derivative of 0*r**3 + 1/24*r**4 + 0*r**s - 2*r**2 + 0 - 1/120*r**6 + 0*r. Determine h, given that b(h) = 0.
-1, 0, 1
Let k(u) = u**3 - 6*u**2 - 17*u + 10. Let m be k(8). Let p(j) be the first derivative of 0*j + 3/2*j**4 + 0*j**m + 3/5*j**5 + j**3 + 4. Factor p(q).
3*q**2*(q + 1)**2
Let z(g) be the third derivative of g**5/60 + 11*g**4/3 + 968*g**3/3 - 29*g**2 + 3. Determine x so that z(x) = 0.
-44
Let t(o) be the second derivative of o**7/1050 + o**6/90 + 7*o**5/150 + o**4/10 + 2*o**3/3 - 5*o. Let s(h) be the second derivative of t(h). Factor s(l).
4*(l + 1)**2*(l + 3)/5
Factor 4*b**3 - 4/3*b**4 + 0 + 40/3*b**2 + 0*b.
-4*b**2*(b - 5)*(b + 2)/3
Let w(g) be the third derivative of -1/180*g**5 + 0*g - 32/9*g**3 + 0 - 14*g**2 - 2/9*g**4. Solve w(i) = 0 for i.
-8
Let a(s) be the third derivative of -1/20*s**6 + 0 + 0*s - 1/20*s**5 - 36*s**2 + 0*s**3 - 1/70*s**7 + 0*s**4. Solve a(v) = 0 for v.
-1, 0
Let w(j) = 6*j**4 - 12*j**3 - 30*j**2 + 58*j + 68. Let f(y) = -13*y**4 + 24*y**3 + 61*y**2 - 115*y - 134. Let o(c) = 2*f(c) + 5*w(c). Factor o(v).
4*(v - 3)**2*(v + 1)*(v + 2)
Let o(t) be the third derivative of -t**8/5040 + t**6/1080 - 11*t**3/6 - t**2. Let q(z) be the first derivative of o(z). What is v in q(v) = 0?
-1, 0, 1
Factor 3*n - 5*n - 2*n - 13*n**2 + 11*n**2.
-2*n*(n + 2)
Let b(y) be the third derivative of 0 + 0*y + 0*y**3 - 1/140*y**5 + 1/490*y**7 + 5*y**2 + 0*y**4 - 1/784*y**8 + 1/280*y**6. Factor b(a).
-3*a**2*(a - 1)**2*(a + 1)/7
Let j(k) be the second derivative of -40*k + 0*k**2 + 3/16*k**5 + 1/8*k**3 + 0 - 3/8*k**4. Determine u, given that j(u) = 0.
0, 1/5, 1
Let v(k) be the third derivative of 1/140*k**5 + 9*k**2 + 0*k - 1/7*k**3 + 0 + 1/56*k**4. Determine n so that v(n) = 0.
-2, 1
Factor 6/25*c - 4/25 - 2/25*c**2.
-2*(c - 2)*(c - 1)/25
Let n = 1443 + -1441. Factor -8*i**3 + 0 - 12/7*i**n + 8/7*i.
-4*i*(2*i + 1)*(7*i - 2)/7
Let o be -3 + -4 + 1 - 10. Let h be (-38)/(-12) - o/(-96). Factor 2/7*r**2 + 0 + 0*r - 2/7*r**h.
-2*r**2*(r - 1)/7
Let k(s) = -4*s**2 + 2*s + 3. Let l(u) = -3*u**2 + 2*u + 2. Suppose 6*h - 21 = 15. Let j(v) = h*l(v) - 4*k(v). Let j(t) = 0. Calculate t.
0, 2
Let f(c) = -20 - 8*c**3 + 2 + 78*c**2 - 11*c**3 - 37*c. Let q be (((-54)/(-24))/3)/((-12)/(-16)). Let m(o) = o**3 + o. Let y(l) = q*f(l) - 2*m(l). Factor y(g).
-3*(g - 3)*(g - 1)*(7*g + 2)
Solve -12/7*a**2 + 2/7*a**3 - 16/7 + 24/7*a = 0.
2
Let k(u) be the second derivative of 0 - 16*u + 1/12*u**4 + 0*u**2 + 1/6*u**3. Let k(w) = 0. What is w?
-1, 0
Factor 3*n**3 + 2*n**3 + 5*n**3 - 15*n**2 - 3*n**3 + 0*n**3 + 13*n - n**4 - 4.
-(n - 4)*(n - 1)**3
Let x(u) = -43*u**2 - 120*u + 1568. Let i(b) = -30*b**2 - 80*b + 1045. Let c(g) = 7*i(g) - 5*x(g). Factor c(o).
5*(o - 7)*(o + 15)
Let w(r) be the second derivative of 7*r**5/80 + 23*r**4/48 + r**3/4 - 77*r. Factor w(k).
k*(k + 3)*(7*k + 2)/4
Let f(z) be the second derivative of z**7/1260 - z**5/60 - z**4/18 + 10*z**3/3 - 12*z. Let q(d) be the second derivative of f(d). Factor q(w).
2*(w - 2)*(w + 1)**2/3
Let w = -13 + 5. Let s(f) = f**2 + 8*f + 12. Let n be s(w). Solve -4*k**4 - 9*k**4 + n*k**4 = 0.
0
Let d = 11 + -9. Suppose -u - s = 0, 5*u = u + d*s. Factor 2/11*t**5 + u - 4/11*t**4 + 0*t**3 + 0*t**2 + 0*t.
2*t**4*(t - 2)/11
Let z(c) = -2*c**3 + c**2 - c - 1. Let s(t) = 33*t**3 + 57*t**2 - 543*t + 1107. Let m(y) = -s(y) - 18*z(y). Factor m(f).
3*(f - 11)**2*(f - 3)
Let k(l) = l**3 + 15*l**2 + 9*l - 4. Let s be k(-14). Let n be ((-2)/16)/((-11)/s). Factor n*i**2 - 3/4*i - 3/2.
3*(i - 2)*(i + 1)/4
Let z(v) be the first derivative of -2*v**3/15 - 9*v**2/5 - 16*v/5 + 52. Factor z(k).
-2*(k + 1)*(k + 8)/5
Let j(p) be the second derivative of 0 + 0*p**3 - 28*p + 1/10*p**6 - 3/4*p**4 - 3/10*p**5 + 0*p**2. Factor j(g).
3*g**2*(g - 3)*(g + 1)
Let y(t) = -t**3 + 8*t**2 - t + 12. Let x be y(8). Determine p, given that 50 + 5*p**x + 58*p + 102*p + 40*p**3 + 38 + 120*p**2 - 8 = 0.
-2
Let q(d) be the first derivative of 2*d**3/15 + 7*d**2/5 - 16*d/5 + 20. Find r such that q(r) = 0.
-8, 1
Let d = -204 - -95. Let c = 112 + d. Factor 2/3*i**4 + 0*i + 4/3*i**c + 0 + 0*i**2.
2*i**3*(i + 2)/3
Let r(v) be the third derivative of v**6/90 + v**5/30 - v**4/3 + 7*v**3/6 + 4*v**2. Let w(p) be the first derivative of r(p). Factor w(m).
4*(m - 1)*(m + 2)
Solve -28/3*z - 8 - 8/3*z**2 = 0.
-2, -3/2
Let z(l) be the first derivative of -l**4/66 + l**3/33 - 4*l + 17. Let u(f) be the first derivative of z(f). Factor u(y).
-2*y*(y - 1)/11
Let v(m) be t