hat v(k) = 0.
-1, 0
Suppose -155/2*f - 24025/4 - 1/4*f**2 = 0. What is f?
-155
Let b(z) be the second derivative of z**5/150 - z**3/15 - 25*z**2/2 - 26*z. Let i(l) be the first derivative of b(l). Let i(m) = 0. Calculate m.
-1, 1
Let n(a) = a**3 - 21*a**2 - 23*a + 25. Let q be n(22). Suppose 3*z = -5*f + 3, 3 = q*f - f + 3*z. Factor 1/2*y**2 - 1/4 - 1/4*y**4 + f*y + 0*y**3.
-(y - 1)**2*(y + 1)**2/4
Let r(d) = -2*d**4 + 6*d**3 + 2*d**2 - 2*d - 2. Let j(n) = n**5 - 5*n**4 + 13*n**3 + 5*n**2 - 4*n - 5. Let h(f) = 2*j(f) - 5*r(f). Let h(k) = 0. Calculate k.
-1, 0, 1
Let y(d) be the first derivative of d**4/38 + 2*d**3/19 - 4*d**2/19 - 24*d/19 + 90. Factor y(p).
2*(p - 2)*(p + 2)*(p + 3)/19
Find b, given that 8/7*b + 0 - 2/7*b**2 = 0.
0, 4
Let j(o) be the first derivative of -o**6/40 - o**5/4 + o**4 + 25*o**3/3 - 4. Let c(a) be the third derivative of j(a). Factor c(b).
-3*(b + 4)*(3*b - 2)
Let r(b) = -26*b + 29. Let y be r(1). Factor 3*x + 13/4*x**2 + 3/2*x**y + 1/4*x**4 + 1.
(x + 1)**2*(x + 2)**2/4
Let s(p) be the third derivative of 1/36*p**4 - 1/540*p**6 + 3*p**2 + 0 + 2/27*p**3 + 0*p**5 + 0*p. Factor s(a).
-2*(a - 2)*(a + 1)**2/9
Factor 9/7*u + 12/7 - 3/7*u**2.
-3*(u - 4)*(u + 1)/7
Let p(y) be the second derivative of y**5/120 - y**4/24 - 3*y**2 + 8*y. Let f(g) be the first derivative of p(g). Determine s, given that f(s) = 0.
0, 2
Determine d so that -3*d**4 - 57/5*d**2 + 0 - 54/5*d**3 - 18/5*d = 0.
-2, -1, -3/5, 0
Let s(m) = 8*m**4 - m**2 - 7*m - 7. Let f(l) = -4*l**4 + l**2 + 3*l + 3. Let o(x) = -7*f(x) - 3*s(x). Let o(u) = 0. What is u?
-1, 0, 1
Let d(z) be the second derivative of 2*z - 1/8*z**3 + 0 + 5/48*z**4 - 9/8*z**2 - 1/80*z**5. Factor d(t).
-(t - 3)**2*(t + 1)/4
Let p(y) = -y**3 - 11*y**2 - 21*y - 5. Let s be p(-8). Let j be s/(-14) - 9/6. Factor 2/7*n**4 + 0 - j*n**3 + 2/7*n**2 + 0*n.
2*n**2*(n - 1)**2/7
Let z = -1400 - -1400. Determine b, given that 2/11*b**2 + 6/11*b**3 - 4/11*b + z = 0.
-1, 0, 2/3
Let u(b) be the third derivative of 0 - 1/2352*b**8 + 1/420*b**6 + 0*b**4 + 0*b**5 - 1/1470*b**7 + 0*b + 0*b**3 + 33*b**2. Factor u(t).
-t**3*(t - 1)*(t + 2)/7
Suppose -2 = -7*q + 6*q. Factor h**3 + 14*h**2 + 15*h**2 + 3 - 40*h**2 + 12*h**q - 5*h.
(h - 1)**2*(h + 3)
Let w(s) = -3*s**5 - 2*s**4 + s**3 + 2*s**2 + 2*s - 2. Let m(d) = d**5 - d + 1. Let i be 2/9 - 35/(-45). Let y(x) = i*w(x) + 2*m(x). Factor y(t).
-t**2*(t - 1)*(t + 1)*(t + 2)
Determine r so that 0*r**3 + 0 - 1/5*r**4 + 0*r + 1/5*r**2 = 0.
-1, 0, 1
Let t(j) be the second derivative of j**7/126 + 37*j**6/90 + 283*j**5/60 - 1081*j**4/36 + 580*j**3/9 - 200*j**2/3 - 83*j. Solve t(f) = 0 for f.
-20, 1
Factor 11*v - 1/4*v**4 + v**2 + 12 - 5/4*v**3.
-(v - 3)*(v + 2)**2*(v + 4)/4
Let g(z) be the third derivative of z**6/360 - 11*z**5/30 + 121*z**4/6 - 5324*z**3/9 + 38*z**2. Factor g(d).
(d - 22)**3/3
Suppose 81 = -65*a + 92*a. Factor -4/9*r**a + 2/9*r**5 - 16/9*r**2 + 4/9*r**4 - 14/9*r - 4/9.
2*(r - 2)*(r + 1)**4/9
Let r be (0*9/99)/((-2)/1). Factor 2/13 + r*o**3 + 2/13*o**4 + 0*o - 4/13*o**2.
2*(o - 1)**2*(o + 1)**2/13
Let h(r) be the first derivative of -r**4/26 - 38*r**3/13 - 1083*r**2/13 - 13718*r/13 - 58. Factor h(z).
-2*(z + 19)**3/13
Let q be (-14 - 85/(-5))*12/27. Factor -q*y**3 + 0 - 4/3*y**2 + 8/3*y.
-4*y*(y - 1)*(y + 2)/3
Suppose -2/13*p**4 - 18/13*p**2 + 0 + 0*p + 12/13*p**3 = 0. What is p?
0, 3
Let j(l) be the third derivative of 0*l**4 - 6*l**2 + 0*l**6 + 0*l**7 + 0 + 1/1344*l**8 + 0*l**3 + 0*l + 0*l**5. Factor j(f).
f**5/4
Let x(y) be the second derivative of y**5/24 - 7*y**4/48 - y**3/2 - 7*y**2/2 - 4*y. Let p(c) be the first derivative of x(c). Factor p(o).
(o - 2)*(5*o + 3)/2
Let n(o) be the second derivative of -o**5/4 + 5*o**4/6 + 5*o**3/2 + o + 62. Determine k, given that n(k) = 0.
-1, 0, 3
Suppose -4*f = 16, 0 = -3*j - j - 5*f - 8. Let y = -19 + 23. Determine i, given that 0*i**j - 4*i**3 - y*i - 6*i**2 + 2*i**3 = 0.
-2, -1, 0
Suppose -10 = -2*z + x, 2*z - x + 2 = -3*x. Suppose 1 + z = o. Factor -14*p**3 - o*p**2 - p**2 + 11*p**3 + 2*p**2.
-3*p**2*(p + 1)
Let r(w) be the third derivative of w**7/1890 - w**6/360 - w**5/54 - 7*w**2. Find p, given that r(p) = 0.
-2, 0, 5
Suppose 5*x - 2*x = 45. Let s(m) = 37*m - 27 + 5*m**2 - x*m - 4*m**2. Let b(i) = -2*i**2 - 65*i + 81. Let o(q) = -4*b(q) - 11*s(q). Solve o(f) = 0.
3
Let b(f) be the second derivative of -3*f**7/14 + 11*f**6/10 - 9*f**5/5 + f**4 - 77*f. Find z, given that b(z) = 0.
0, 2/3, 1, 2
Factor 104/3*p**3 + 0 + 8/9*p**5 - 8*p**2 - 98/9*p**4 + 0*p.
2*p**2*(p - 6)**2*(4*p - 1)/9
Let q(z) be the third derivative of 2*z**7/525 - z**6/50 - z**5/15 + z**4/10 + 8*z**3/15 + 29*z**2. Factor q(j).
4*(j - 4)*(j - 1)*(j + 1)**2/5
Factor 2/5*n**4 + 0 - 4/5*n**2 - 2/5*n**3 + 0*n.
2*n**2*(n - 2)*(n + 1)/5
Suppose 12*r + 10*r = -16*r. Let b(t) be the first derivative of -8 + r*t + 4*t**2 - 28/3*t**3 + 6*t**4. Let b(v) = 0. Calculate v.
0, 1/2, 2/3
Let i(a) be the second derivative of 1/4*a**4 + 0*a**3 + 0*a**2 + 0 + 31*a - 3/100*a**5. Find j such that i(j) = 0.
0, 5
Let b = 7537/4 + -1882. Suppose -b*p - 15/4*p**2 - 3/4*p**3 + 27/4 = 0. Calculate p.
-3, 1
Let b(r) be the second derivative of -r**5/12 + 7*r**4/6 + 29*r**3/18 - 3*r**2 - 7*r - 3. Factor b(x).
-(x - 9)*(x + 1)*(5*x - 2)/3
Suppose 3*g = 3*t + 9, -3*g + 5*t = -8*g + 15. Let u(y) be the first derivative of -y**g + 1/2*y**2 - 1/4*y**4 - 6 + 3*y. Factor u(q).
-(q - 1)*(q + 1)*(q + 3)
Let v(x) be the third derivative of -x**8/672 - 2*x**7/105 - 11*x**6/120 - 7*x**5/30 - 17*x**4/48 - x**3/3 - 23*x**2 + 2*x. Find g, given that v(g) = 0.
-4, -1
Let o be (-12)/2 - (-152)/24. Let b(h) be the first derivative of 0*h**2 + 0*h + o*h**3 - 2 - 1/4*h**4. Factor b(r).
-r**2*(r - 1)
Let k = -63 + 91. Let s be 328/k - (-2)/7. Factor -4*u**2 + 3*u**3 - 3*u**4 + 9*u + 7*u**2 - s*u.
-3*u*(u - 1)**2*(u + 1)
Let s(x) = -x**3 - 12*x**2 - 10*x + 31. Let g be s(-9). Let r = 856/7 + g. Determine i so that -6/7*i + 6/7*i**3 - 2/7 + r*i**2 = 0.
-1, -1/3, 1
What is c in 2*c**5 - 20*c + 651*c**3 - 14*c**4 - 12*c - 627*c**3 + 8*c**2 = 0?
-1, 0, 2, 4
Let l(o) be the first derivative of o**4/6 - 16*o**3/3 + 15*o**2 - 44*o/3 + 134. Find y such that l(y) = 0.
1, 22
Let f(a) be the third derivative of -5*a**8/448 - 97*a**7/280 + 31*a**6/80 + a**5/2 - 3*a**2. Determine i, given that f(i) = 0.
-20, -2/5, 0, 1
Factor -2*u**3 - 2/11*u**4 - 70/11*u**2 - 50/11*u + 0.
-2*u*(u + 1)*(u + 5)**2/11
Let x(m) = -3*m**3 + 27*m**2 - 46*m + 28. Let b be x(7). What is n in 0*n - 1/8*n**2 + b + 1/8*n**3 = 0?
0, 1
Let g(x) be the first derivative of -x**6/1800 + x**5/100 - 3*x**4/40 - 2*x**3 + 17. Let o(s) be the third derivative of g(s). What is q in o(q) = 0?
3
Let 2946*t**2 + 82*t - 2945*t**2 + 44*t = 0. Calculate t.
-126, 0
Suppose 4*t + 6 = 7*t. Determine k so that 10 + 39*k**2 - 5*k - 11*k + k - 34*k**t = 0.
1, 2
Let q be (-1)/((-1)/((-24)/(-3))*-1). Let y be 4/q*(-5)/((-100)/(-8)). Factor -3/5*u**5 + 1/5 - 6/5*u**2 - 14/5*u**3 - 11/5*u**4 + y*u.
-(u + 1)**4*(3*u - 1)/5
Let p(k) be the third derivative of -k**5/20 + k**4 - 7*k**3/2 + 25*k**2. Determine v, given that p(v) = 0.
1, 7
Let t(s) = -2*s - 4. Let l be t(-3). Let -4*w**2 - l*w**2 + 6*w**2 - 2*w**2 + 8 = 0. What is w?
-2, 2
Suppose -14*i = -21*i + 11*i. Determine z, given that -6*z**5 + 9/2*z**3 + 0*z - 3/2*z**2 + i + 0*z**4 = 0.
-1, 0, 1/2
Let c be 24/11 + -1 - 2/(-2). Let d(r) = r**2 + 17*r - 15. Let o be d(-18). Factor -2*l**2 + 8/11 - 60/11*l**o + 50/11*l**4 + c*l.
2*(l - 1)**2*(5*l + 2)**2/11
Let k be 2 - (2 + 2/((-4)/6)). Suppose -5*d + k*o = -d - 7, 0 = -d - 3*o + 13. What is a in -3/4*a**5 + 3/4*a**2 + 0 + 0*a - 3/4*a**d + 3/4*a**3 = 0?
-1, 0, 1
Factor -2*m**2 - 46 + 6*m + 46 - 3*m**2 - 26*m.
-5*m*(m + 4)
Let h(y) be the second derivative of y**5/10 + 7*y**4/60 - y**3/10 - 15*y. Factor h(x).
x*(x + 1)*(10*x - 3)/5
Let z(w) = -34*w**3 + 148*w**2 - 208*w + 86. Let l(u) = -u**4 - 34*u**3 + 147*u**2 - 209*u + 85. Let p(j) = -4*l(j) + 6*z(j). Factor p(c).
4*(c - 11)*(c - 4)*(c - 1)**2
Let y be (32/14)/(-2)*1610/(-920). Factor 0 - 10/7*m + 12/7*m**y - 2/7*m**3.
-2*m*(m - 5)*(m - 1)/7
Suppose 22*h + 30 = 74. Let i(k) be the second derivative of 1/30*k**5 - 9*k + 0 + 0*k**4 + 0*k**h - 1/9*k**3. Solve i(s) = 0 for s.
-1, 0, 1
What is i in -7*i + 49