) + h(b). Let n(s) = 0. What is s?
-1, 1
Let t(q) be the third derivative of -q**7/105 - q**6/20 + q**4/3 - 306*q**2 - 1. Determine p, given that t(p) = 0.
-2, 0, 1
Let p(a) be the second derivative of a**4/6 + a**3/3 - 27*a. Let p(d) = 0. Calculate d.
-1, 0
Let b(w) be the third derivative of -w**7/1890 - w**6/360 + w**5/135 - 82*w**2. Let b(g) = 0. What is g?
-4, 0, 1
Let n(f) be the first derivative of -f**6/240 + f**5/120 + f**4/24 - 21*f**2/2 + 2. Let x(m) be the second derivative of n(m). Solve x(y) = 0 for y.
-1, 0, 2
Let y be 23/(207/(-4)) - 8/(-12). Factor 0 - 2/9*g**2 - 2/9*g**5 + 0*g + y*g**4 + 2/9*g**3.
-2*g**2*(g - 1)**2*(g + 1)/9
Let b(m) be the second derivative of -m**5/20 + 77*m**4/12 - 481*m**3/2 - 1521*m**2/2 - 16*m. Suppose b(q) = 0. What is q?
-1, 39
Let j = -2144/3 - -716. Suppose 0 = 3*u - 5*s + 4, -u + 0*s - 6 = -4*s. What is n in -2/9*n**u + j - 2/9*n = 0?
-3, 2
Let r(x) be the third derivative of 13*x**6/300 + 11*x**5/150 - x**4/30 + 23*x**2 + 3. Factor r(c).
2*c*(c + 1)*(13*c - 2)/5
Determine h so that 19*h**2 + 1 - 12*h**3 + 19/2*h = 0.
-1/4, -1/6, 2
Let r(w) = w - 1. Let a be r(1). Let h(y) be the first derivative of 0*y**2 - 4*y + 2 + a + 8*y**2 - 4*y**2 + 4*y**3. Find x such that h(x) = 0.
-1, 1/3
Let m(q) = 2*q - 3. Let s be m(7). Suppose s*k = 6*k + 10. What is v in 190 - 190 - v**k + 2*v + v**4 - 2*v**3 = 0?
-1, 0, 1, 2
Let p = 31 - 27. Suppose 0 = -p*m + 4*a + 32, -5*a - 4 = 3*m + 4. Factor 10*h**4 + 40*h**2 - 4*h**5 + 0 - 40*h**3 - 5*h**4 + m - 20*h + 15*h**4.
-4*(h - 1)**5
Determine r, given that 72*r**2 + 324/5*r**3 + 6/5*r**4 - 27/5*r**5 - 96/5*r + 0 = 0.
-2, 0, 2/9, 4
Let x = -30 + 34. Factor -5*a - x*a**3 + 4*a**3 + 2*a**3 + 3*a**3.
5*a*(a - 1)*(a + 1)
Let g(l) = l**2 + 85*l + 1428. Let c be g(-62). Factor 12/7 + 2*m**c + 46/7*m.
2*(m + 3)*(7*m + 2)/7
Let d(z) be the third derivative of z**7/105 - 11*z**6/60 + 11*z**5/10 - 3*z**4/4 - 18*z**3 + 31*z**2 - 2. Factor d(t).
2*(t - 6)*(t - 3)**2*(t + 1)
Let b(z) = -40*z - 117. Let n be b(-3). Let c(m) be the second derivative of 0 - 4*m + 1/72*m**4 + 1/12*m**n - 1/6*m**2 - 1/40*m**5 + 1/180*m**6. Factor c(l).
(l - 2)*(l - 1)**2*(l + 1)/6
Let t(r) be the third derivative of 0*r - 9*r**2 + 0*r**3 - 1/84*r**4 + 0 + 0*r**5 + 1/420*r**6. Factor t(g).
2*g*(g - 1)*(g + 1)/7
Let z(s) = 4*s + 26. Let d be z(-6). Determine q, given that -6*q + d*q**2 + 0 + 2*q**2 - 1 + 9*q = 0.
-1, 1/4
Let v(x) = 4*x**3 - 28*x**2 + 41*x - 20. Let y(l) = 7*l**3 - 54*l**2 + 82*l - 40. Let t(p) = -5*v(p) + 3*y(p). Factor t(a).
(a - 20)*(a - 1)**2
Let j(w) be the third derivative of w**7/105 - 7*w**6/60 + w**5/6 + 7*w**4/12 - 2*w**3 + 123*w**2. Suppose j(c) = 0. What is c?
-1, 1, 6
Determine b, given that 4/19*b**2 + 2/19*b**3 - 12/19 - 10/19*b = 0.
-3, -1, 2
Let h(q) = -q**3 - 6*q**2 + 13*q + 45. Let u be h(-7). Let y(a) be the second derivative of 3*a + 0 + a**2 + 1/6*a**4 - 2/3*a**u. Solve y(f) = 0 for f.
1
Factor 3/5*d**3 - 12/5*d - 9/5*d**2 + 0.
3*d*(d - 4)*(d + 1)/5
Let d(p) = 2*p**2 + 6*p - 118. Let f(a) = -10*a**2 - 31*a + 586. Let x(y) = 11*d(y) + 2*f(y). Factor x(w).
2*(w - 7)*(w + 9)
Let b = -38 - -18. Let u = -1 - b. Let 4*h**3 - 4*h**4 + u - 19 = 0. What is h?
0, 1
Let z be 78/12*(2 - 8). Let a = z + 42. Factor -2/5*x**4 - 6/5*x**a - 2/5*x + 0 - 6/5*x**2.
-2*x*(x + 1)**3/5
Let m(f) be the first derivative of 2*f**3/27 + 82*f**2/9 - 601. Find p such that m(p) = 0.
-82, 0
Let u = -213 + 219. Let z(s) be the third derivative of 0*s + 1/30*s**5 + 0*s**4 - 2/21*s**8 + 8/35*s**7 - 4*s**2 - 3/20*s**u + 0 + 0*s**3. Solve z(x) = 0.
0, 1/4, 1
Suppose o - 18 - 8 = 5*n, 2 = -3*o - 5*n. Suppose -o*p + 4*p = -4. Factor 4*u**3 - 23*u + 14*u - 6*u**p - u**3 + 0*u**2.
3*u*(u - 3)*(u + 1)
Suppose 66*u - 16*u + 42*u - 2*u**2 - 3*u**2 + u**2 = 0. Calculate u.
0, 23
Factor -49*h - 9*h**3 + 20 + 12*h**3 + h**4 - 11*h**3 + 6*h**3 + 39*h**2 - 9*h**3.
(h - 5)*(h - 4)*(h - 1)**2
Let o(v) = -13*v + 2. Let t be o(2). Let x be (-15)/3*t/30. Factor -h**4 + 9*h**2 + x*h**4 - 9*h**3 + 18*h - 21*h.
3*h*(h - 1)**3
Let k(c) = -15*c**2 + 75*c - 68. Let j(u) = 10*u**2 - 50*u + 45. Let b = -70 - -75. Let o(n) = b*k(n) + 8*j(n). Factor o(h).
5*(h - 4)*(h - 1)
Let a(v) = 7*v**3 - 361*v**2 + 9*v - 18. Let t(s) = -2*s**3 + 90*s**2 - 2*s + 4. Let r(z) = 2*a(z) + 9*t(z). Factor r(c).
-4*c**2*(c - 22)
Solve 2 - 2 + 84*b - 2 - 780*b**2 - 102*b**2 = 0 for b.
1/21
Let l(o) = -35*o - 173. Let w be l(-5). Find a, given that 0 - 1/5*a**w + 2/5*a - 1/5*a**3 = 0.
-2, 0, 1
Let o(g) be the first derivative of g**4/3 - 44*g**3/3 + 242*g**2 - 15*g - 3. Let r(n) be the first derivative of o(n). Solve r(u) = 0.
11
Let i be 45/(-450) - (-21)/60. Solve -w - 2 + i*w**3 + 1/2*w**2 = 0.
-2, 2
Let a(o) be the third derivative of -o**7/1575 - o**6/450 + 7*o**5/450 + 2*o**4/45 - 4*o**3/15 + 65*o**2 + 1. Find i such that a(i) = 0.
-3, -2, 1, 2
Let k = 2755/2037 + -13/679. Determine s so that -23/3*s**2 + 4/3 + 3*s**4 - 2*s**3 - k*s = 0.
-1, -2/3, 1/3, 2
Suppose 2*y - 5*y = -5*b, 5*b = -3*y. Factor -2/5*m**2 + 2/5*m**4 - 4/5*m**3 + y + 4/5*m.
2*m*(m - 2)*(m - 1)*(m + 1)/5
Find h such that 0*h + 0 - 2/15*h**2 = 0.
0
Let s(g) = 4*g + 1. Let p(k) = -11*k - 3. Let a(o) = 3*p(o) + 8*s(o). Let f(t) = -t**2 - 3*t - 2. Let r(i) = a(i) + f(i). Determine v so that r(v) = 0.
-3, -1
Let d = -351 + 1839/5. Solve -2/15*l**4 - 144/5 + 38/15*l**3 + 216/5*l - d*l**2 = 0 for l.
1, 6
Let h = -7822 + 4993. Let f = 19875/7 + h. Determine c so that f*c**2 + 48/7 - 24/7*c**3 - 96/7*c + 3/7*c**4 = 0.
2
Suppose 8 + 67*l - l - 31 - 5*l**2 + 19*l - 57 = 0. Calculate l.
1, 16
Suppose 6 - 39 = v - t, -3*v + 4*t - 95 = 0. Let o = 43 + v. Solve 3/2*l + o*l**5 + 3*l**2 - 6*l**4 + 0 - 9/2*l**3 = 0.
-1/2, 0, 1
Factor 1/7 + 5/7*c + 4/7*c**2.
(c + 1)*(4*c + 1)/7
Let n be ((-10)/12)/(276/(-108) + 2). Let a(y) be the first derivative of 1/2*y**6 + 0*y + 3/2*y**2 - 1 + 0*y**5 - n*y**4 + 0*y**3. Find p such that a(p) = 0.
-1, 0, 1
Suppose 0 - 4998/5*h**3 - 202/5*h**4 - 2/5*h**5 + 0*h + 5202/5*h**2 = 0. Calculate h.
-51, 0, 1
Let a(f) be the first derivative of -1/27*f**3 + 5*f + 0*f**4 + 3 + 0*f**2 + 1/90*f**5. Let q(u) be the first derivative of a(u). Factor q(l).
2*l*(l - 1)*(l + 1)/9
Let w(f) = 2*f**4 - 10*f**3 + 28*f**2 - 28*f - 4. Let k(v) = 2*v**4 - 11*v**3 + 29*v**2 - 27*v - 3. Let i(p) = 4*k(p) - 3*w(p). Suppose i(t) = 0. What is t?
0, 2, 3
Let b(d) be the third derivative of d**7/735 + 31*d**6/210 + 1129*d**5/210 + 62*d**4 + 336*d**3 - 14*d**2 + 6*d. Factor b(v).
2*(v + 3)**2*(v + 28)**2/7
What is x in -2/9*x**3 - 22/3*x + 0 - 28/9*x**2 = 0?
-11, -3, 0
Let r(c) = c**3 - 2*c**2 - 4*c + 4. Let w be r(3). Suppose 0 = 3*n + v - 10, -5*n + 0*v = 3*v - 18. Factor w + 9/4*b**2 + n*b.
(3*b + 2)**2/4
Let h(c) be the first derivative of c**3/24 - 7*c**2/2 + 27*c/2 + 234. Suppose h(n) = 0. Calculate n.
2, 54
Let b(k) be the second derivative of k**4/72 + 31*k**3/36 + 4*k + 4. Factor b(i).
i*(i + 31)/6
Suppose 507*z**2 - 20 + 94*z + 21 + 1702*z**2 = 0. What is z?
-1/47
Let f = 78 + -75. Factor 32*t - 20 - 3*t**3 + 9*t**2 + 12*t + 7*t**f - 37*t**2.
4*(t - 5)*(t - 1)**2
Suppose 24/11*i - 32/11 - 2/11*i**4 - 6/11*i**3 + 16/11*i**2 = 0. Calculate i.
-4, -2, 1, 2
Let a = -1738/5 + 1834/5. Factor 24/5*d**2 + 128/5 - 2/5*d**3 - a*d.
-2*(d - 4)**3/5
Let c(p) be the second derivative of -p**8/1120 + p**7/560 + p**6/120 - 3*p**3/2 - 2*p**2 + 5*p - 3. Let z(o) be the second derivative of c(o). Factor z(u).
-3*u**2*(u - 2)*(u + 1)/2
Let h = 57 - 47. Let s be 66/(-77)*((-14)/h + 0). Factor -s - 3/5*n**2 - 9/5*n.
-3*(n + 1)*(n + 2)/5
Let w(f) be the third derivative of 1/300*f**5 - 1/1050*f**7 - 1/600*f**6 + 0 + 0*f**4 + 0*f + 1/1680*f**8 - 10*f**2 + 0*f**3. Factor w(t).
t**2*(t - 1)**2*(t + 1)/5
Let o(z) be the third derivative of -32/7*z**3 + 0 + 0*z + 12/7*z**4 - 1/490*z**7 + 26*z**2 + 3/70*z**6 - 13/35*z**5. Suppose o(c) = 0. Calculate c.
2, 4
Let r = -7138 + 49978/7. Find w such that -12/7*w - r - 3/7*w**2 = 0.
-2
Let d = -58455/7 + 8311. Let b = d + 40. Factor -b*n**2 - 2/7 + 4/7*n.
-2*(n - 1)**2/7
Determine b so that -2288*b - 5811 + 74*b**2 - 136*b**2 - 4*b**3 - 122*b**2 + 1939 = 0.
-22, -2
Let g(j) be the second derivative of 1/10*j**5 + 1/2*j**4 - 3*j**2 + 0 + 15*j - 1/3*j**3. Find o, 