7. Let p(a) = k*i(a) - 5*d(a). Let p(y) = 0. What is y?
-1, 0, 1
Let l(y) be the first derivative of -y**4/24 - y**3 - 8*y**2 - 64*y/3 - 174. Solve l(h) = 0 for h.
-8, -2
Let g be ((2/5)/(-2))/(30/(-8725)). Let z = g + -58. Determine b, given that -1/6*b**4 - z*b**5 + 0*b + 1/6*b**2 + 1/6*b**3 + 0 = 0.
-1, 0, 1
Let n(g) be the second derivative of g**5/90 + g**4/3 + 4*g**3 + 7*g**2 + 3*g. Let u(z) be the first derivative of n(z). Suppose u(m) = 0. Calculate m.
-6
Let l be 3 + (-4)/(-16)*-10. Let k(t) be the first derivative of -3 - t**2 + 2/3*t**3 - 2*t + l*t**4. Factor k(v).
2*(v - 1)*(v + 1)**2
Suppose 2*n = -0*n + 46. Suppose -35 = -3*f - 4*y, 3*f + 2*y - n = 4*y. Factor 11*c - 14*c**4 + 3*c**5 - 15*c**2 - 1 - f*c**2 + 26*c**3 - 1.
(c - 1)**4*(3*c - 2)
Let i be ((-5)/15)/(2/(-54)). Suppose 0 = -10*p - i + 39. Factor -3/2*n + 3/2*n**p + 0 + 0*n**2.
3*n*(n - 1)*(n + 1)/2
Factor 4*o**3 - 446*o**2 - 4*o + 218*o**2 + 220*o**2 + o + 9.
(o + 1)*(2*o - 3)**2
Factor 4/5*a**2 + 0*a + 2/5*a**4 - 6/5*a**3 + 0.
2*a**2*(a - 2)*(a - 1)/5
Factor 0*s**2 - 8/7*s**3 + 32/7*s + 2/7*s**4 - 32/7.
2*(s - 2)**3*(s + 2)/7
Let h(i) be the third derivative of i**5/30 - i**4 - 13*i**3/3 - 71*i**2. Factor h(s).
2*(s - 13)*(s + 1)
Let h(k) be the second derivative of -k**4/60 - 8*k**3 - 1440*k**2 + 1073*k. Determine b, given that h(b) = 0.
-120
Let f(x) be the first derivative of -2*x**7/105 + 2*x**5/5 - 4*x**4/3 + 2*x**3 - 10*x**2 + 24. Let k(n) be the second derivative of f(n). Factor k(b).
-4*(b - 1)**3*(b + 3)
Let a(h) = h**2 + 8*h + 3. Let i be a(-8). What is t in 12*t**2 + 7*t**i - 4*t**3 + 9 + 3*t**2 + 21*t = 0?
-3, -1
Let o be (((-10)/12)/(245/196))/((-4)/9). Let w be 6*((-14)/8 + 2). Factor w*m**4 - 3*m + 3*m**3 - o + 0*m**2.
3*(m - 1)*(m + 1)**3/2
Factor 3/5*b**2 + 0*b + 0 - 1/5*b**4 - 2/5*b**3.
-b**2*(b - 1)*(b + 3)/5
Let h be 0 + -12 - (-96)/8. Suppose 3/7*m**3 + 0*m - 3/7*m**2 + h = 0. Calculate m.
0, 1
Let f be (27/(-6))/(-6*(-3)/(-6)). Let l(b) be the first derivative of 6*b**2 - 12*b + 5 + 3*b**3 - f*b**4 - 3/5*b**5. Factor l(x).
-3*(x - 1)**2*(x + 2)**2
Suppose -6*i + 207 = 3*i. Let q = 23 - i. Factor q - 4/11*w**2 + 0*w + 2/11*w**3.
2*w**2*(w - 2)/11
Let m(x) be the second derivative of -x**5/270 + 7*x**4/108 + 8*x**3/27 + 43*x**2/2 - 32*x. Let f(i) be the first derivative of m(i). Solve f(y) = 0.
-1, 8
Factor 224/3 + 2/3*j**4 - 82/3*j**2 + 0*j**3 - 48*j.
2*(j - 7)*(j - 1)*(j + 4)**2/3
Let p(o) = -9*o**4 + 24*o**3 - 25*o**2 - 5*o - 5. Let h(a) = 4*a**4 - 12*a**3 + 12*a**2 + 2*a + 2. Let c(b) = -5*h(b) - 2*p(b). Factor c(g).
-2*g**2*(g - 5)*(g - 1)
Let t = -18/47 - -422/611. Let f be ((14 - 19) + (9 - -2))*(-5)/(-39). Find o such that f*o + 2/13*o**3 + t + 8/13*o**2 = 0.
-2, -1
Suppose 26*i = 31 + 47. Let f(u) be the first derivative of 1 - 1/4*u**4 - 1/6*u**6 + 0*u**i + 0*u + 2/5*u**5 + 0*u**2. Factor f(n).
-n**3*(n - 1)**2
Let u = 6 + 5. Suppose 2*l - 28 = -4*g - 2, l + u = 4*g. Factor -8*d**l - 131*d**3 - 77*d**3 + 32 + 304*d**2 + 66*d**4 + 0*d**3 - 192*d.
-2*(d - 2)**4*(4*d - 1)
Let b be -2*(-6 + 4 + 0). Factor b*s + 2*s - 5*s - s**3.
-s*(s - 1)*(s + 1)
Suppose -3*y - 61 + 1 = 0. Let n = 26 + y. Let b(t) = -t**2 + 6*t - 9. Let c(q) = -q**2 + 6*q - 9. Let l(m) = n*b(m) - 5*c(m). Factor l(x).
-(x - 3)**2
Let v be (-15)/(-45) - 86/270. Let q(j) be the second derivative of j + v*j**6 - 1/27*j**4 - 1/27*j**7 + 0*j**3 + 7/90*j**5 + 0 + 0*j**2. Solve q(k) = 0.
-1, 0, 2/7, 1
Let w(k) be the first derivative of -1/60*k**5 + 1/48*k**4 - 4 + 0*k - 2*k**2 + 1/240*k**6 + 0*k**3. Let n(x) be the second derivative of w(x). Factor n(h).
h*(h - 1)**2/2
Let g(m) = -3*m**3 - 31*m**2 - 37*m - 7. Let r be g(-9). Let n(k) be the first derivative of 2/15*k**3 - 2/5*k + 0*k**r - 4. Solve n(o) = 0.
-1, 1
Suppose -2*v = 2, -22 = -5*h - 4*v + 19. Let z be (-3 + 27)/(h/2). Factor z*l + 2/3*l**2 + 32/3.
2*(l + 4)**2/3
Factor 20*l + 255*l**3 - 120 - 4*l**4 + 50*l**2 - 2*l**4 - 260*l**3 + l**4.
-5*(l - 2)**2*(l + 2)*(l + 3)
Let r = 9 - 7. Let d(l) be the third derivative of -1/300*l**5 - 1/10*l**3 + 4*l**r + 1/30*l**4 + 0*l + 0. Factor d(p).
-(p - 3)*(p - 1)/5
Let s be 4/26 - 14/91. Let i = s + 4. Factor 2 - 4*n - n**3 - n**i + 5*n**3 - n**4.
-2*(n - 1)**3*(n + 1)
Let j = -24799/4 + 6203. Factor 4*x + 3/4*x**3 + j*x**2 + 1.
(x + 2)**2*(3*x + 1)/4
Let m(g) be the first derivative of g**4/24 - g**3/18 - 2*g**2/3 + 2*g + 36. Determine f, given that m(f) = 0.
-3, 2
Let r(h) = -h**3 + 2*h + 3. Let v(b) = -3*b**3 + 47*b**2 - 36*b - 24. Let s(q) = -4*r(q) - v(q). Factor s(l).
(l - 6)*(l - 1)*(7*l + 2)
Let n = -860/9 - -120607/1260. Let i = 1/28 + n. Find m such that 0 - i*m**5 + 2/5*m**3 + 0*m**2 - 1/5*m + 0*m**4 = 0.
-1, 0, 1
Let s be (-12)/(2*-1) - (-4563)/(-780). Let o(l) be the third derivative of 0*l + 0 - 1/40*l**6 - s*l**5 - 1/4*l**4 - 4*l**2 + 0*l**3. Factor o(m).
-3*m*(m + 1)*(m + 2)
Let u(x) be the third derivative of x**7/735 - 2*x**6/105 + x**5/35 + 2*x**4/21 - x**3/3 - x**2 - 52. Factor u(z).
2*(z - 7)*(z - 1)**2*(z + 1)/7
Solve 62*b**3 + 298*b + 55*b**2 - 158*b - 57*b**3 = 0 for b.
-7, -4, 0
Suppose -143 = -5*k - 123. Find h, given that -k*h**4 + 4*h**3 + 16*h**2 - 8 - 14*h**2 - 4*h + 10*h**2 = 0.
-1, 1, 2
Let p be ((-12)/15)/((-10)/25). Factor 0*i**3 + 2*i**4 + 56*i - 7 - 12*i**p - 46 - 6*i**3 + 5.
2*(i - 2)**3*(i + 3)
Let u be (16/(-30))/((-76)/95). Factor 4/3*x**3 - 2/3*x + 0*x**2 + 0 + 0*x**4 - u*x**5.
-2*x*(x - 1)**2*(x + 1)**2/3
Factor 7*c**2 + 12*c**2 + 28*c**2 + 2*c**3 + 151*c + 392 + 59*c - 11*c**2.
2*(c + 4)*(c + 7)**2
Let l(t) be the third derivative of 19*t**2 + 4/525*t**7 + 0*t - 1/15*t**5 - 1/840*t**8 + 1/15*t**4 + 8/15*t**3 + 0 - 1/300*t**6. Find a, given that l(a) = 0.
-1, 2
Let x(h) be the first derivative of -h**4 + 4*h**3 + 2*h**2 - 12*h + 90. Factor x(l).
-4*(l - 3)*(l - 1)*(l + 1)
Factor 43*j**3 + 260*j - 85 - 37*j**4 - 270*j**2 - 27*j**4 + 57*j**3 + 59*j**4.
-5*(j - 17)*(j - 1)**3
Let x(y) = y**2. Let o(t) = 90*t + 704*t**2 - 720 + 30*t - 714*t**2. Let d(n) = o(n) + 5*x(n). Factor d(s).
-5*(s - 12)**2
Factor 3*s**3 - 135 - 167 - 26 + 27 - 336*s - 75*s**2 - 47.
3*(s - 29)*(s + 2)**2
Let 32*c + c**3 - 3*c**3 - 60*c - 30*c**2 = 0. What is c?
-14, -1, 0
Suppose 3*g + 5 = -1. Let v be -4 - (g - 1) - -3. Factor -2*f**4 + 0*f**4 + 7*f**3 - 2*f**v - 2*f**4 - f**4.
-f**2*(f - 1)*(5*f - 2)
Let g(j) = 26*j**2 + 105*j + 6. Let d be g(-4). Solve 3/2*s**d + 0 - 1/2*s = 0.
0, 1/3
Let m(n) be the third derivative of -n**8/84 + 76*n**7/105 - 93*n**6/5 + 1296*n**5/5 - 4131*n**4/2 + 8748*n**3 + 111*n**2. Suppose m(z) = 0. Calculate z.
2, 9
Let l(b) be the second derivative of b**4/12 - 12*b**3 + 648*b**2 + 2*b + 7. Suppose l(f) = 0. What is f?
36
Let t(q) be the second derivative of -q**4/16 + 47*q**3/2 - 6627*q**2/2 - 282*q. Let t(a) = 0. Calculate a.
94
What is j in 972 - 661*j + 5*j**2 - 30*j**3 + 79*j**2 - 27*j**3 + 121*j + 53*j**3 = 0?
3, 9
Let g(w) be the first derivative of w**4/120 + 4*w**3/15 + 16*w**2/5 - 10*w + 8. Let r(c) be the first derivative of g(c). Factor r(b).
(b + 8)**2/10
Let u be ((-2)/4)/(133/(-532)). Let w(q) be the first derivative of 1/3*q - 1/9*q**3 + 1/12*q**4 + 4 - 1/6*q**u. Find y such that w(y) = 0.
-1, 1
Let m = 102 - 100. Let l = 1 - 1. Find s, given that -1/3*s**4 + l*s - 1/3*s**5 + 1/3*s**m + 1/3*s**3 + 0 = 0.
-1, 0, 1
Let o(i) be the second derivative of -i**6/300 + i**4/60 - 17*i**2/2 + 6*i. Let t(d) be the first derivative of o(d). Factor t(k).
-2*k*(k - 1)*(k + 1)/5
Let v(i) = -i + 23. Let l be v(6). Let y = l + -15. Factor -32/5*f - 34/5*f**2 - y*f**3 - 8/5.
-2*(f + 1)*(f + 2)*(5*f + 2)/5
Let i(s) = -12*s**3 - 138*s**2 - 288*s - 147. Let j(v) = 17*v**3 + 138*v**2 + 289*v + 148. Let n(t) = -4*i(t) - 3*j(t). Find u such that n(u) = 0.
-1, 48
Let z(c) be the third derivative of -c**5/240 + c**4/24 - c**3/6 - 2*c**2 + 11. Determine w, given that z(w) = 0.
2
Let o(a) be the third derivative of 24*a**2 + 0*a - 1/40*a**6 - 3/20*a**5 + 0 - 3/8*a**4 - 1/2*a**3. Factor o(u).
-3*(u + 1)**3
Let u(x) be the third derivative of -x**7/140 - 11*x**6/40 + x**5/40 + 11*x**4/8 + 159*x**2. Let u(p) = 0. Calculate p.
-22, -1, 0, 1
Let j(y) be the second derivative of 8/15*y**6 + 6*y - 22/3*y**3 + 1/5*y**5 + 0 - 4*y**4 - 4*y**2. Factor j(q).
4*(q 