Let r(k) be the first derivative of 0*k**2 + 51 - 3*k**6 - 68/5*k**5 - 19/2*k**4 + 4*k**3 + 0*k. What is l in r(l) = 0?
-3, -1, 0, 2/9
Suppose 0 = 50*m - 53*m + 120. Determine w, given that 5*w**3 - 25*w**2 + m*w + 5 - 7 + 0 - 18 = 0.
1, 2
Let h be ((-258)/(-63) - 4)*3/12. Let v(i) be the second derivative of 0 - 1/70*i**5 - h*i**4 + 0*i**2 + 6*i + 0*i**3. Determine t, given that v(t) = 0.
-1, 0
Suppose -3*o + 6*b = -b + 22, o - 5*b = -18. Suppose 0 + 2/3*m**4 - 4/3*m - o*m**2 + 0*m**3 = 0. Calculate m.
-1, 0, 2
Let c(z) be the first derivative of -z**3/3 - z**2/2 + 12*z + 84. Factor c(m).
-(m - 3)*(m + 4)
Let y be ((-140)/12)/(-7)*12/10. Suppose -3*j = -2*m - 5, -3*m + 20 = 4*j + y. Factor -2/5*n**m + 6/5*n - 4/5.
-2*(n - 2)*(n - 1)/5
Let t = 35 - 15. Factor 0 + 14*c**5 - 40*c**2 - 4 - 55*c**3 - 18*c**5 - 20*c + 15*c**3 - t*c**4.
-4*(c + 1)**5
Let m be (-2750)/(-495)*2/15*18/15. Let -m*l + 8/9*l**3 - 2/9*l**2 + 2/9 = 0. Calculate l.
-1, 1/4, 1
Let b = -14269 + 14269. Factor 2/7*p**3 - 6/7*p**2 + 8/7 + b*p.
2*(p - 2)**2*(p + 1)/7
Let u(d) = -3*d**5 - 21*d**4 - 79*d**3 - 7*d - 7. Let q(w) = w**5 + 11*w**4 + 39*w**3 + 3*w + 3. Let p(f) = 7*q(f) + 3*u(f). Solve p(v) = 0.
-2, 0, 9
Let b(k) = -k**3 - k**2 + k + 3. Let w(t) = -84*t**2 - 357*t - 363. Let v(q) = -3*b(q) + w(q). Suppose v(s) = 0. What is s?
-2, 31
Let d(b) be the second derivative of -5*b - 1/160*b**5 + 0 + 1/24*b**4 - 5/48*b**3 + 1/8*b**2. Determine t so that d(t) = 0.
1, 2
Let v(b) = -4*b**4 + 3*b**3 - 70*b**2 + 131*b - 25. Let m(q) = 9*q**4 - 5*q**3 + 139*q**2 - 263*q + 55. Let p(h) = -5*m(h) - 11*v(h). Let p(x) = 0. Calculate x.
-14, 0, 3
Suppose 0 = 6*y + 23 - 47. Suppose 7 = -3*t + y*u, 5*t + 2 = 3*u + 5. Factor 0*n**2 + 4/3*n**4 - 4/3 + 8/3*n - 8/3*n**t.
4*(n - 1)**3*(n + 1)/3
Suppose 63*m - 20 = 62*m + 3*x, -6 = -6*m - x. Find o such that 0 - 6/13*o + 2/13*o**m = 0.
0, 3
Find r, given that 1/4*r**2 + 15/2 - 17/4*r = 0.
2, 15
Let m(u) = 12*u**3 - 2*u**2 - 4*u + 5. Let q(x) = 5*x**3 - x**2 - 2*x + 2. Let d(a) = -2*m(a) + 5*q(a). Factor d(r).
r*(r - 2)*(r + 1)
Let x(g) be the first derivative of -10*g**6/3 + 68*g**5/5 + 44*g**4 - 80*g**3/3 + 15. Let x(i) = 0. Calculate i.
-2, 0, 2/5, 5
Let m(f) be the first derivative of -f**4/2 + 308*f**3 - 71148*f**2 + 7304528*f + 479. Factor m(k).
-2*(k - 154)**3
Let v be ((-9)/(-18))/(1 + (-9)/10). What is o in 6*o**3 - 157*o**4 - 8*o**2 - 2*o**v - 5*o + 161*o**4 - 3*o = 0?
-1, 0, 2
Let u be 24/2 - 4 - (14 + (6 - 16)). Factor -2/7*z**u + 8/7*z**3 - 12/7*z**2 - 2/7 + 8/7*z.
-2*(z - 1)**4/7
Factor -1/5*w**3 + 19/5*w + 4/5*w**2 + 14/5.
-(w - 7)*(w + 1)*(w + 2)/5
Find v such that 2/9*v**3 - 2/9*v**2 - 10/9*v - 2/3 = 0.
-1, 3
Let 0 - 9/7*v**4 + 249/7*v**3 - 156/7*v - 384/7*v**2 = 0. What is v?
-1/3, 0, 2, 26
Let y(i) = i**2 + 11*i + 4. Let w be y(-5). Let v(s) = s + 28. Let k be v(w). What is d in 1/3*d**k + 0 - 2/3*d = 0?
0, 2
Let b(m) be the third derivative of 3*m**7/70 - m**6/40 - m**5/4 + m**4/8 + m**3 + 5*m**2 - 2. Find w such that b(w) = 0.
-1, -2/3, 1
Suppose -6*d + 5*u + 32 = -2*d, -4*d - 4*u - 4 = 0. Factor -2*x**4 + 16*x**3 + 12*x**3 + 24*x - 32*x**2 - 8*x**3 - 6*x**d.
-2*x*(x - 3)*(x - 2)**2
Let r(o) be the second derivative of 0 + 1/24*o**3 - 1/48*o**4 - 8*o + 1/8*o**2 - 1/80*o**5. Let r(v) = 0. Calculate v.
-1, 1
Factor -4/5 + 2/5*m**3 - 2/5*m + 4/5*m**2.
2*(m - 1)*(m + 1)*(m + 2)/5
Suppose -4*t + 6 = d, d + 10*t - 5*t - 7 = 0. Let -1/6*i**d + 2/3*i + 5/6 = 0. Calculate i.
-1, 5
Let g = 1 - -2. Let q(w) be the second derivative of -1/90*w**6 - 1/6*w**2 + 7*w + 0 - 1/15*w**5 - 2/9*w**g - 1/6*w**4. Factor q(o).
-(o + 1)**4/3
Let s(i) be the third derivative of 0 + 61/60*i**6 - 121/30*i**5 + 0*i - 3/35*i**7 + 17/4*i**4 + 6*i**3 + 13*i**2. Find c such that s(c) = 0.
-2/9, 1, 3
Determine m, given that 6/5*m**5 - 14/5*m**4 + 32/5*m + 24/5*m**2 - 48/5*m**3 + 0 = 0.
-2, -2/3, 0, 1, 4
Let h(s) = 28*s**3 - s**2 + 2*s - 1. Let z be h(1). Let g be ((-1)/(z/6))/((-110)/385). Suppose -g*j**4 - 1/2*j + j**3 + 1/4*j**2 + 0 = 0. What is j?
-2/3, 0, 1
Suppose i - 10 = -6. Let r(s) be the second derivative of 0 + 2/5*s**6 - 3/5*s**5 + 6*s - 3/4*s**i + s**3 + 3/2*s**2. Factor r(f).
3*(f - 1)**2*(2*f + 1)**2
Let q = -1095 + 1098. Let p(i) be the first derivative of -8 + 9/8*i**2 - 3/2*i - 1/4*i**q. Factor p(d).
-3*(d - 2)*(d - 1)/4
Let g be -1 + 10/4 + 7/(-168)*-12. Find v such that -4/5*v**2 - 4/5*v**4 + 0*v - g*v**3 + 0 = 0.
-2, -1/2, 0
Let j = -40580 - -121744/3. Let j*i**3 - 4 - 4/3*i + 4*i**2 = 0. What is i?
-3, -1, 1
Let q(s) be the second derivative of 25*s**7/231 - 71*s**6/33 + 949*s**5/110 - 259*s**4/22 + 6*s**3 + 865*s. Find d such that q(d) = 0.
0, 3/5, 2, 11
Let r(i) = -2*i + 35. Let k be r(16). Let n be (k - 175/28) + (1 - -3). Factor n - 1/2*f - 1/4*f**2.
-(f - 1)*(f + 3)/4
Let k(d) be the third derivative of d**7/6300 - d**6/450 - d**5/60 - d**4/3 + 8*d**2. Let n(o) be the second derivative of k(o). Factor n(j).
2*(j - 5)*(j + 1)/5
Let y(c) be the first derivative of c**4/16 + c**3/3 - 7*c**2/8 - 5*c/2 - 570. Factor y(f).
(f - 2)*(f + 1)*(f + 5)/4
Let s be (2/(-420))/(-4 + (-60)/(-16)). Let n(t) be the third derivative of 0*t + 0*t**3 + 0 - 2/15*t**5 - 5*t**2 + 0*t**4 - s*t**7 - 1/10*t**6. Factor n(w).
-4*w**2*(w + 1)*(w + 2)
Let v(c) be the second derivative of -3*c**5/100 - 71*c**4/60 + 52*c**3/15 + 10*c**2 - c + 22. Solve v(y) = 0 for y.
-25, -2/3, 2
Let r(u) = -354*u**2 + 784*u - 462. Let j(k) = 704*k**2 - 1567*k + 921. Let z(h) = 4*j(h) + 7*r(h). Factor z(s).
2*(13*s - 15)**2
Let g = -19 + -6. Let t be (g/(-10))/(1/2). Factor -3*x**5 + x**3 + x**5 + x**t.
-x**3*(x - 1)*(x + 1)
Let y(a) be the first derivative of 0*a + 1/6*a**4 + 0*a**3 + 1/30*a**6 - 2*a**2 - 6 - 2/15*a**5. Let s(c) be the second derivative of y(c). Factor s(v).
4*v*(v - 1)**2
Let m(d) be the first derivative of -16*d**3 - 9*d**4 - 8/5*d**5 - 8*d**2 - 11 + 0*d. Factor m(r).
-4*r*(r + 2)**2*(2*r + 1)
Let a(i) be the first derivative of -3*i**5/5 + 15*i**4/4 + 13*i**3 + 21*i**2/2 - 52. Factor a(q).
-3*q*(q - 7)*(q + 1)**2
Let i = 26603/2494 + -1/7482. Solve i*t - 8 + 2/3*t**3 - 14/3*t**2 = 0 for t.
2, 3
Let u be 5 + (-5 - (-10)/2). Suppose 0 = 7*c - u*c + j - 6, -c - j = -2. Let -8 + c*a - 1/2*a**2 = 0. Calculate a.
4
Suppose 4*q - 18 = -2*u, -4*u + 7 + 11 = 2*q. Let i(z) be the first derivative of -9/5*z**5 - q*z**2 + 7 + 0*z + 7*z**3 - 3/2*z**4. Suppose i(l) = 0. What is l?
-2, 0, 1/3, 1
Let q be (-115)/(-88) - (-2637)/(-2344). Determine l, given that -2/11*l**4 + 6/11*l**3 - 4/11*l + q*l**2 + 0 - 2/11*l**5 = 0.
-2, -1, 0, 1
Let c(q) be the third derivative of -49*q**5/45 + 21*q**4 - 162*q**3 + 67*q**2 + 1. Let c(g) = 0. What is g?
27/7
Let r(d) be the first derivative of d**6/30 - 64*d**5/25 + 543*d**4/10 - 1984*d**3/15 + 961*d**2/10 - 92. Factor r(x).
x*(x - 31)**2*(x - 1)**2/5
Let c(d) be the third derivative of -d**5/20 + 13*d**4/8 - 6*d**3 - 105*d**2. Suppose c(l) = 0. What is l?
1, 12
Suppose 1/3*b**2 + 4*b - 13/3 = 0. What is b?
-13, 1
Let l(s) be the second derivative of -s**7/1260 + s**6/360 + 5*s**4/2 - 40*s. Let r(k) be the third derivative of l(k). Factor r(p).
-2*p*(p - 1)
Let h(u) be the second derivative of 0 + 1/12*u**4 + 0*u**2 - 1/30*u**5 + u + 2/3*u**3 + 1/180*u**6. Let k(r) be the second derivative of h(r). Factor k(i).
2*(i - 1)**2
Find o, given that -2/3*o**2 + 8/3*o + 0 = 0.
0, 4
Let s(i) = -i**2 + 15*i + 36. Let d be s(17). What is h in 7*h**2 + d*h**2 + 25*h - 4*h**2 = 0?
-5, 0
Let s(m) be the third derivative of -m**6/30 + m**5/3 - 4*m**4/3 + 8*m**3/3 - 5*m**2 - 27*m. Determine q so that s(q) = 0.
1, 2
Let f(t) be the third derivative of -t**6/450 + 4*t**5/75 - 7*t**4/30 - 2*t**3/3 + 27*t**2. Let c(g) be the first derivative of f(g). Factor c(k).
-4*(k - 7)*(k - 1)/5
Suppose -2 = -2*v + 4*s, 19*v - 24*v = -5*s - 10. Solve -4/7 + 10/7*r**v - 18/7*r**2 - 2/7*r**4 + 2*r = 0 for r.
1, 2
Suppose -68 = 24*q - 20*q. Let y = q - -19. Suppose -2 - x**y + 0*x + 4*x - 2 + 0 = 0. Calculate x.
2
Let p(x) be the first derivative of -x**6/18 - 11*x**5/15 - 19*x**4/12 - x**3 + 430. Factor p(c).
-c**2*(c + 1)**2*(c + 9)/3
Let s be -4 - (-2 - 0)*(20 + -18). Suppose -1/3*h**4 + s*h - 1/3*h**5 + 1/3*h**2 + 1/3*h**3 + 0 = 0. Calculate h.
-1, 0, 1
Let m(c) be t