) = 0.
2/7, 8
Let n(z) = -z**2 + 4*z + 2. Let o be n(4). Let i be o/(2*1/2). Factor -8/3 - 8/3*g - 2/3*g**i.
-2*(g + 2)**2/3
Let u be (-1*4*1)/(-1 - 0). Let -6*p**3 - 3*p**3 + 3*p**3 + 2*p**u + 6*p**2 - 2*p**3 = 0. Calculate p.
0, 1, 3
Let y(j) = -57*j - 208*j - 2523 - 21*j**2 - 326*j + 147*j. Let v(i) = -6*i**2 - 127*i - 721. Let m(p) = 18*v(p) - 5*y(p). Suppose m(b) = 0. Calculate b.
-11
Suppose 5*g + 2*b = 0, -4*b + 3*b - 58 + 53 = 0. Factor 0 - 6/7*f**g + 18/7*f.
-6*f*(f - 3)/7
Let c = 793 + -789. Let r(q) be the second derivative of 0*q**2 + 1/90*q**6 - 12*q - 1/36*q**c + 0 - 1/18*q**3 + 1/60*q**5. Factor r(v).
v*(v - 1)*(v + 1)**2/3
Let u be (-22)/(-77) - ((-1024)/(-252) + -4). Factor 0*s + u*s**2 - 8/9.
2*(s - 2)*(s + 2)/9
Let u = 2801/77 - 375/11. What is a in -32/7 - 2/7*a**2 + u*a = 0?
4
Let j be 6/(-2)*168/(-18). Suppose -4*v - 28*v**4 + 52*v**4 - 12*v**3 - 12*v**2 - j*v**4 = 0. Calculate v.
-1, 0
Let n(y) = 2*y**3 - 63*y**2 + 20*y. Let f(b) = b**3 - 22*b**2 + 7*b. Let u(w) = 17*f(w) - 6*n(w). Solve u(l) = 0 for l.
-1, 0, 1/5
Let i(f) = 3*f**2 - f - 1. Let b(h) = 16*h**2 - 19*h + 44. Let u(d) = b(d) - 5*i(d). Factor u(y).
(y - 7)**2
Let x(z) be the third derivative of -z**8/36960 - z**7/2310 - z**6/440 - 13*z**4/24 - 6*z**2. Let r(q) be the second derivative of x(q). Factor r(u).
-2*u*(u + 3)**2/11
Let u = -8699 + 8702. Solve 3 - m**2 + 5/2*m - 1/2*m**u = 0.
-3, -1, 2
Let c = 25/56 + -9/28. Factor c*u**4 + 1/2*u**3 + 3/4*u**2 + 1/2*u + 1/8.
(u + 1)**4/8
Let w be -2 + 1/((-1)/(-5)). Let l(u) be the second derivative of 0*u**2 - 3*u - 1/4*u**6 + 0 - 1/4*u**4 + 21/40*u**5 + 0*u**w. Solve l(p) = 0.
0, 2/5, 1
Let o = -15/94 - -107/376. Let b(r) be the third derivative of 0*r**5 + 3*r**2 + o*r**4 + 0*r**3 - 1/40*r**6 + 0 + 0*r. Determine g, given that b(g) = 0.
-1, 0, 1
Let l(f) be the second derivative of 0*f**2 + 0*f**6 + 1/30*f**5 + 4*f + 0 + 1/27*f**4 + 0*f**3 - 1/189*f**7. Find p, given that l(p) = 0.
-1, 0, 2
Let f be (4/(-6))/((-16)/72). Let v be 4/2*f/33. What is q in -v*q**5 - 6/11*q**4 - 6/11*q**3 + 0 + 0*q - 2/11*q**2 = 0?
-1, 0
Factor -13 - 1/2*s**2 - 15/2*s.
-(s + 2)*(s + 13)/2
Let s be (3 - 0)/6*-6. Let h = 5 + s. Factor -f**2 - 4*f**2 - f**h + 4*f + 2*f**2.
-4*f*(f - 1)
Suppose 114*w = 110*w + 12. Factor -60 + 100*b + 3*b**4 + 35*b**w + 34*b**3 + 205*b**2 + 12*b**4 + 31*b**3.
5*(b + 2)**2*(b + 3)*(3*b - 1)
Suppose -2/3*i**4 + 2/3*i**2 + 0*i - 2/9*i**5 + 0 + 2/9*i**3 = 0. What is i?
-3, -1, 0, 1
Let a be (-3)/(-42) + (-286)/(-1092). Determine t so that 2/3 - a*t**2 - 1/3*t = 0.
-2, 1
Let y(v) be the second derivative of -v**4/48 - 11*v**3/24 + 3*v**2/2 + 140*v. Factor y(r).
-(r - 1)*(r + 12)/4
Let n(b) be the third derivative of b**8/2240 - b**7/504 + b**6/720 + b**5/120 - b**4/12 + 7*b**2. Let r(f) be the second derivative of n(f). Factor r(c).
(c - 1)**2*(3*c + 1)
Let q = -471 + 471. Let p(z) be the first derivative of 2 + q*z - 1/3*z**2 + 1/3*z**4 - 1/5*z**5 + 1/9*z**3. Factor p(k).
-k*(k - 1)**2*(3*k + 2)/3
Let v(r) be the second derivative of r**5/50 - 22*r**4/15 - 91*r**3/15 - 46*r**2/5 + 30*r + 1. Find s such that v(s) = 0.
-1, 46
Let b(t) be the first derivative of -1/8*t**4 + 1/60*t**5 + 1/3*t**3 - 10 + 0*t + 9/2*t**2. Let m(p) be the second derivative of b(p). What is g in m(g) = 0?
1, 2
Let y(v) = v**3 + 12*v**2 - 2*v - 18. Let u be y(-12). Let h be ((-4)/u)/(2/(-4)*2). Factor 0 - 2/3*o + h*o**2.
2*o*(o - 1)/3
Factor -2/7*l**4 + 0 + 2/7*l**2 + 0*l - 2/7*l**3 + 2/7*l**5.
2*l**2*(l - 1)**2*(l + 1)/7
Let i(b) be the third derivative of -b**8/168 - 17*b**7/245 - b**6/5 - 2*b**5/21 - 3*b**2 + 65. Find o, given that i(o) = 0.
-5, -2, -2/7, 0
Let h be 3/51 - (-1701)/2295. Let y be 18/20 - (-6)/4. Factor 16/5*f + y*f**2 + h.
4*(f + 1)*(3*f + 1)/5
Let t(x) = -85*x**4 + 340*x**3 - 305*x**2. Let f = 90 + -92. Let m(u) = 5*u**4 - 20*u**3 + 18*u**2. Let v(g) = f*t(g) - 35*m(g). Factor v(q).
-5*q**2*(q - 2)**2
Let z(p) be the first derivative of 1/25*p**5 + 0*p**4 + 0*p**3 + 0*p**2 + 0*p - 1/30*p**6 - 34. Find h such that z(h) = 0.
0, 1
Factor 16/3 + 31/6*x - 1/6*x**2.
-(x - 32)*(x + 1)/6
Let f(l) = 3*l**3 - 3*l**2 - 3*l - 6. Let q(i) = 1. Let y be (((-84)/8)/(-7) + -1)*2. Let k(o) = y*f(o) + 9*q(o). Suppose k(p) = 0. What is p?
-1, 1
Let g(l) = -11*l**2 + 17*l + 54. Let m(z) = -100*z**2 + 155*z + 485. Let r(s) = 55*g(s) - 6*m(s). Factor r(f).
-5*(f - 4)*(f + 3)
Let p(u) be the third derivative of -u**5/60 + u**4/15 + 2*u**3/15 + 49*u**2. What is j in p(j) = 0?
-2/5, 2
Let d(u) be the third derivative of 0*u + 16*u**2 + 0 - 1/180*u**5 - 5/18*u**3 - 1/12*u**4. Factor d(o).
-(o + 1)*(o + 5)/3
Let a = -149 + 156. Let f(r) be the third derivative of -7*r**2 - 1/10*r**6 + 0*r - 1/6*r**4 + 0 + 0*r**3 + 1/5*r**5 + 2/105*r**a. Factor f(d).
4*d*(d - 1)**3
Factor 3*n - n + 108*n**2 - 103*n**2 + 3*n.
5*n*(n + 1)
Let j(f) be the first derivative of -4*f**5/5 + 13*f**4 + 4*f**3/3 - 26*f**2 - 33. Determine u so that j(u) = 0.
-1, 0, 1, 13
Let i(m) be the first derivative of -1/2*m**2 - 44 + 6/5*m + 1/15*m**3. Solve i(d) = 0 for d.
2, 3
Let l be 7/2 - 2/4. Let x = l - 1. Determine s, given that -3*s**x + 2*s - s**2 + 4 + 0*s**2 + 2*s**2 = 0.
-1, 2
Let n(k) be the third derivative of k**9/24192 - k**8/13440 - k**3/2 - 9*k**2. Let o(x) be the first derivative of n(x). Factor o(v).
v**4*(v - 1)/8
Let r(n) be the second derivative of -1/4*n**5 + 0*n**2 - 1/6*n**6 + 0*n**3 + 21*n + 0 + 5/6*n**4. Suppose r(u) = 0. What is u?
-2, 0, 1
Let y(g) be the second derivative of -11*g - 3/4*g**4 - 1/2*g**3 + 0 + g**2 - 1/20*g**5 + 1/10*g**6. Find a such that y(a) = 0.
-1, 1/3, 2
Let t(u) be the third derivative of -u**6/120 - u**5/180 - 320*u**2. What is x in t(x) = 0?
-1/3, 0
Let g(p) = 3*p**4 + 105*p**3 - 84*p**2 + 39*p - 15. Let r(d) = 2*d**4 + d**3 + d - 1. Let w(l) = -g(l) + 15*r(l). Factor w(s).
3*s*(s - 2)*(3*s - 2)**2
Let z(j) = -j**2 - j. Let w(y) = 40*y**2 - 110*y + 30. Let c(f) = -f - 5. Let a be c(-4). Let l(h) = a*w(h) - 5*z(h). Suppose l(n) = 0. What is n?
2/7, 3
Let c(k) be the first derivative of 2*k**2 + 37 + 2/3*k**3 - 2/5*k**5 - k**4 + 0*k. Factor c(w).
-2*w*(w - 1)*(w + 1)*(w + 2)
Let h be 3 + -3 + 9/3. Let m(b) = -b**3 + 24*b**2 + 29*b - 13. Let x be m(25). Find d such that -x + 4*d**3 + 91 - h*d - d - 4*d**2 = 0.
-1, 1
Let y(p) be the second derivative of 11*p + 0 + 0*p**3 - 1/96*p**4 + 1/16*p**2. Let y(o) = 0. What is o?
-1, 1
Let m(y) be the first derivative of y**6/75 - y**5/10 + y**4/10 + 3*y**3/5 + 7*y - 17. Let j(p) be the first derivative of m(p). Find k such that j(k) = 0.
-1, 0, 3
Let m be (9*(-5)/(-27))/(5/4). Factor 0*h + 0 - 2/3*h**4 - 2*h**3 - m*h**2.
-2*h**2*(h + 1)*(h + 2)/3
Let z(u) be the third derivative of u**8/1176 - 2*u**7/735 - u**6/140 + 2*u**5/105 + u**4/21 + 575*u**2. Factor z(y).
2*y*(y - 2)**2*(y + 1)**2/7
Suppose 916 = -2*o + j, 5*o - j = 2*j - 2288. Let p be (-8)/10 - o/450. Let 2/9*d**3 + p - 2/9*d - 2/9*d**2 = 0. Calculate d.
-1, 1
Solve -t - 37/3*t**2 + 37/3 + t**3 = 0 for t.
-1, 1, 37/3
Let z be 4 + (-36)/14 - (1 - -8)/9. Suppose -z*c**2 - 432/7 - 72/7*c = 0. What is c?
-12
Let t(x) be the third derivative of x**6/420 - 23*x**5/105 + 40*x**4/7 + 384*x**3/7 - 2*x**2 - 206*x. Factor t(g).
2*(g - 24)**2*(g + 2)/7
Suppose 5*j - 5*m = -645, j + 5*m = -73 - 62. Let b = 130 + j. Suppose 1/7*a + 1/7*a**2 + b = 0. What is a?
-1, 0
Let m be 576/(-42) - (-6)/(-21). Let t be m/2*120/(-196) + -4. Let 2/7*b**2 + 2/7*b**3 - t - 2/7*b = 0. What is b?
-1, 1
Let r(q) be the third derivative of 0 + 1/6*q**4 + 15*q**2 + 0*q + 1/45*q**5 - 4/9*q**3 + 2/315*q**7 - 1/30*q**6. Solve r(h) = 0.
-1, 1, 2
Let d = -2963/210 + 85/6. Let u(k) be the first derivative of -3/14*k**4 - d*k**5 + 4 + 0*k - 1/7*k**2 - 2/7*k**3. Factor u(j).
-2*j*(j + 1)**3/7
Let j(y) be the first derivative of -y**4/12 + y**3/9 + y**2/6 - y/3 + 118. Let j(c) = 0. What is c?
-1, 1
Let r(t) be the first derivative of t**6/6 + 14*t**5/5 - 3*t**4 - 440*t**3/3 + 400*t**2 - 220. Factor r(v).
v*(v - 4)*(v - 2)*(v + 10)**2
Let d(q) = -6*q**4 + 21*q**3 - 45*q**2 + 30*q - 3. Let i(v) = 5*v**4 - 21*v**3 + 45*v**2 - 29*v + 2. Let x(f) = -2*d(f) - 3*i(f). Suppose x(s) = 0. Calculate s.
0, 1, 3
Let z = 143/219 + 1/73. Let w(p) be the first derivative of -z*p**3 - 6*p