194*r - i + 23*r**2 + 93 = 0. Calculate r.
-6, -2/9
Let b(h) = -3*h - 18. Let v be b(-7). Let c(o) be the first derivative of 3/4*o + 1/4*o**v + 3/4*o**2 + 4. Determine p, given that c(p) = 0.
-1
Suppose -8/3 - 52/3*o**3 - 10/3*o**4 - 56/3*o - 30*o**2 = 0. What is o?
-2, -1, -1/5
Suppose 36*x - 225 = -39*x. Find j such that 2/3*j**4 + 0 - 8/3*j**x + 0*j + 2/3*j**5 - 8/3*j**2 = 0.
-2, -1, 0, 2
Find x such that 17 + 14*x + 5*x**3 - 80*x - 55*x**2 - 59*x - 47 - 35 = 0.
-1, 13
Let d(i) be the third derivative of i**8/1848 + i**7/105 + i**6/66 - 53*i**5/165 + 133*i**4/132 - 49*i**3/33 - 130*i**2. Factor d(c).
2*(c - 1)**3*(c + 7)**2/11
Let k = -4 + 10. Suppose 4*u = -4*f, k = -2*f - 5*u - 0*u. Factor -1/4*p + 0 + 1/4*p**f.
p*(p - 1)/4
Let g(v) = 13*v**3 - 6*v**2 + 11*v - 9. Let s(z) = -3*z**3 + 2*z**2 - 3*z + 2. Let y(f) = 2*g(f) + 9*s(f). Factor y(b).
-b*(b - 5)*(b - 1)
Let f(w) be the first derivative of w**4/8 - 3*w**2/4 + w + 112. Solve f(l) = 0 for l.
-2, 1
Let g(j) be the third derivative of 0*j**4 + 1/60*j**5 - 1/160*j**6 + 0*j + 0 - 12*j**2 - 1/840*j**7 + 0*j**3. Factor g(l).
-l**2*(l - 1)*(l + 4)/4
Let y(c) be the second derivative of -c**5/80 - 7*c**4/32 - 6*c**2 - 26*c. Let j(t) be the first derivative of y(t). Solve j(s) = 0.
-7, 0
Let s(v) be the first derivative of -v**5/20 + v**4/2 - 23*v**3/12 + 7*v**2/2 - 3*v + 30. Factor s(i).
-(i - 3)*(i - 2)**2*(i - 1)/4
Factor 12/11*h**2 - 10/11*h - 2/11*h**3 + 0.
-2*h*(h - 5)*(h - 1)/11
Let n be -2 - (-8)/5 - 1350/(-250). Let a(q) be the first derivative of -3/5*q**3 + n + 9/10*q**2 + 3/20*q**4 - 3/5*q. Factor a(m).
3*(m - 1)**3/5
Suppose 27 = 5*r - 2*x - 2*x, -4*x = 5*r - 43. Let k be 7/(-14)*(-4)/r. Find m such that 8/7 - 8/7*m + k*m**2 = 0.
2
Let d(a) be the third derivative of a**6/72 - 37*a**5/270 - 23*a**4/54 - 4*a**3/9 - 628*a**2. Let d(l) = 0. What is l?
-2/3, -2/5, 6
Let 16/5 + 24/5*o**2 + 16*o**3 + 5*o**4 - 64/5*o = 0. What is o?
-2, 2/5
Suppose -5*j + 6*j + 68 = 0. Let s = 70 + j. Suppose 4/9*p - 2/3*p**3 + 2/9*p**4 + 0 - 2/9*p**s + 2/9*p**5 = 0. What is p?
-2, -1, 0, 1
Suppose i = -2*i + 15, 4*n - 4*i - 628 = 0. Let g = 13 + -8. Find k such that -14*k**5 + 4*k**g - 243 + 7*k**5 + n*k**2 + 33*k**4 + 81*k - 126*k**3 = 0.
-1, 3
Let l(r) = -r**5 - 18*r**4 + r**3 + 23*r**2 - 5*r - 10. Let o(s) = -s**5 - 27*s**4 + s**3 + 35*s**2 - 8*s - 16. Let i(z) = -8*l(z) + 5*o(z). Factor i(n).
3*n**2*(n - 1)*(n + 1)*(n + 3)
Let r(k) = -37*k - 2. Let x be r(-1). Let u = x + -33. Factor 0 - 1/3*n**3 - 2/3*n**u - 1/3*n.
-n*(n + 1)**2/3
Let i(k) = 5*k**2 - 6*k. Let l(d) = d - 3. Let r be l(9). Suppose -7*o - 1 = 6. Let s(a) = a**2 - a. Let z(v) = o*i(v) + r*s(v). Factor z(m).
m**2
Let o(y) be the first derivative of -4*y**3/3 - 8*y**2 - 16*y - 663. Determine x, given that o(x) = 0.
-2
Suppose 2*u - 4 = -u - l, -5*l + 8 = 3*u. Suppose -u = 2*p - 7. What is d in 0 - 36*d**3 - p + 10*d**4 + 0*d**4 + 34*d**2 - 5 = 0?
-2/5, 1, 2
Let i(c) be the third derivative of -c**7/6300 - 7*c**6/2700 - 4*c**5/225 - c**4/15 + 7*c**3/2 - 19*c**2. Let x(q) be the first derivative of i(q). Factor x(r).
-2*(r + 2)**2*(r + 3)/15
Let w(r) = 2*r**3 + 10*r**2 - 9*r + 9. Let y(t) = t**3 + 4*t**2 - 4*t + 4. Let i(l) = -4*w(l) + 9*y(l). Let i(q) = 0. What is q?
0, 4
Let k = 282963/34300 + 3/8575. Factor -29/4*y**3 + 9/4*y**4 - 15/4*y + 1/2 + k*y**2.
(y - 1)**3*(9*y - 2)/4
Let y(p) = 3*p. Let c(z) = 16*z - 1. Let q(s) = -2*c(s) + 11*y(s). Let j be q(0). Factor -g**2 - 1 - g**j - 2 - 2*g**2 + 7*g.
-(g - 1)*(4*g - 3)
Suppose -4*j = 2*v + 2, -4*v - 31 = j - 13. Factor -5/6*n**3 - 5/3*n + 0 + 5/2*n**j.
-5*n*(n - 2)*(n - 1)/6
Let y be ((-1)/4)/(315/(-945)). Solve 27/2*k**2 + y*k + 0 = 0 for k.
-1/18, 0
Let h = -295/4 - -6203/84. Find d such that 4/21 - 2/7*d + h*d**2 = 0.
1, 2
Find b, given that 10*b**4 - 11*b**2 - 20*b**2 + 0*b**4 + 4*b**5 - 28*b**3 + 24*b + 10*b**4 + 11*b**2 = 0.
-6, -1, 0, 1
Factor -459684/7*h + 2034/7*h**2 - 3/7*h**3 + 34629528/7.
-3*(h - 226)**3/7
Suppose 2*b - 8 = -g, 6 = -19*g + 23*g - 5*b. Let i(x) be the second derivative of 1/6*x**g + x**2 + 0 - 2/3*x**3 - 5*x. What is c in i(c) = 0?
1
Let n = 48 + -22. Let s = 30 - n. Solve 3*y**5 - 37*y**s + 45*y**3 - 27*y**2 + 38*y**4 - 22*y**4 = 0.
0, 1, 3
Let i(k) = -k - 3. Suppose 4*w + 9 + 4 = 3*a, 3*w + 46 = -5*a. Let h be i(w). Factor 4/11*m**3 + 0*m**2 + 0 + 0*m - 10/11*m**h.
-2*m**3*(5*m - 2)/11
Let y = -11/30 + 7/10. Determine d, given that 16/3 + y*d**2 + 8/3*d = 0.
-4
Let i(k) be the first derivative of k**8/1260 - k**7/630 - 2*k**3 + 8. Let w(a) be the third derivative of i(a). Solve w(b) = 0 for b.
0, 1
Let q(c) be the second derivative of -c**5/40 - c**4/2 + 13*c**3/12 - 13*c - 5. Factor q(r).
-r*(r - 1)*(r + 13)/2
Suppose -52/3*o**2 + 8/3*o + 12*o**3 + 0 - 44/3*o**5 + 52/3*o**4 = 0. Calculate o.
-1, 0, 2/11, 1
Let h(f) be the second derivative of -f**8/420 - f**7/70 - f**6/45 + 25*f**3/6 - 24*f. Let k(c) be the second derivative of h(c). Find t such that k(t) = 0.
-2, -1, 0
Let h(o) be the second derivative of 14*o - 1 + 0*o**3 + 0*o**2 + 1/16*o**4 + 1/80*o**5. Factor h(i).
i**2*(i + 3)/4
Let y be 174/1064 + 16/(-28). Let s = -3/19 - y. Factor 0 + s*h**3 - 3/4*h + 1/2*h**2.
h*(h - 1)*(h + 3)/4
Let j be (0*1/2)/(-2). Let z be ((-44)/(-44) - (-3 + -4))/(20/8). Factor j*t**4 + z*t**2 + 54/5*t**5 - 36/5*t**3 + 0 - 2/5*t.
2*t*(t + 1)*(3*t - 1)**3/5
Let w(n) = 6*n**2 - 36*n - 170. Let b(i) = -7*i**2 - 3. Let m(a) = -3*a**2 - 1. Let r(v) = 2*b(v) - 5*m(v). Let h(d) = 8*r(d) - w(d). Find j such that h(j) = 0.
-9
Solve 2/9*v**2 + 6 - 8/3*v = 0 for v.
3, 9
Solve 4/9*k**2 + 0 + 536/9*k = 0 for k.
-134, 0
Let m(d) be the first derivative of d**4/12 - 2*d**3/3 - 7*d**2/6 - 640. Factor m(x).
x*(x - 7)*(x + 1)/3
Let b(o) = -1005*o + 2. Let c be b(0). Find z, given that -1/4*z - 3/4*z**c + 0 = 0.
-1/3, 0
Let a(j) be the third derivative of j**6/60 - 17*j**5/60 + 13*j**4/12 + 15*j**3/2 + 24*j**2. Factor a(r).
(r - 5)*(r + 1)*(2*r - 9)
Let b(y) be the first derivative of -7*y**4/2 - 2908*y**3/3 - 75296*y**2 + 43264*y + 626. Factor b(t).
-2*(t + 104)**2*(7*t - 2)
Let k(x) = x**3 + x**2 + 2*x + 2. Let r(t) = 2*t**3 + 11*t**2 + 25*t - 8. Let v(o) = -5*k(o) + r(o). Find u such that v(u) = 0.
-2, 1, 3
Solve -4 + 1/2*c**3 + 5/2*c**2 + c = 0 for c.
-4, -2, 1
Let l(i) = -i**2 + i - 1. Let v(h) = -h**3 + 15 - 23*h + 4*h**2 + 4 + 4*h**2. Let q(j) = 5*l(j) - 5*v(j). Let q(a) = 0. Calculate a.
2, 5
Let s(g) be the first derivative of -g**6/1980 + g**5/330 + g**4/44 - 7*g**3/3 + 13. Let q(z) be the third derivative of s(z). Find p such that q(p) = 0.
-1, 3
Let u = 2116/10549 + -18/959. Factor 0 + 8/11*d + 18/11*d**2 + u*d**4 + 12/11*d**3.
2*d*(d + 1)**2*(d + 4)/11
Let x(a) be the third derivative of a**6/90 - 22*a**5/45 - 23*a**4/18 + 569*a**2. Factor x(v).
4*v*(v - 23)*(v + 1)/3
Let n(d) be the first derivative of 0*d**2 + 0*d**3 + 0*d + 1/15*d**5 + 11 - 1/12*d**4. Let n(v) = 0. Calculate v.
0, 1
Let v be -6 + (-107)/(-6) + (-2)/(-12). Suppose 4*p + y - 3 = 0, -2*p - 4*y = -3*p - v. Determine l, given that 0*l + 0*l**2 + 1/2*l**3 + p - 1/2*l**4 = 0.
0, 1
Let x = -57 + 60. Let v(r) be the second derivative of 5*r + 0 + 1/12*r**4 - 1/2*r**2 - 1/6*r**x + 1/20*r**5. Let v(a) = 0. Calculate a.
-1, 1
Let o(h) be the third derivative of -h**5/300 + h**4/20 - 3*h**3/10 - 7*h**2 + 17. Solve o(q) = 0.
3
Let b(k) be the third derivative of -13*k**7/105 + k**6/60 - k**2 - 15*k. Solve b(s) = 0.
0, 1/13
Let h(y) be the third derivative of -y**8/84 - 4*y**7/35 - 4*y**6/15 + 2*y**5/15 + 3*y**4/2 + 8*y**3/3 + 47*y**2. Find x, given that h(x) = 0.
-4, -1, 1
Suppose -172*w + 326 = -362. Factor 14/3*q**2 - 8/3*q**5 - 10*q**3 + 0 - 2/3*q + 26/3*q**w.
-2*q*(q - 1)**3*(4*q - 1)/3
Let n(m) = -2*m**2 + 19. Let p be n(0). Factor 8 + 3*w**2 + 9*w - p + 11.
3*w*(w + 3)
Let p(t) be the second derivative of 0 - 3*t + 2/5*t**2 - 1/30*t**4 + 1/15*t**3. Factor p(f).
-2*(f - 2)*(f + 1)/5
Let t(j) be the second derivative of -5*j + 1/180*j**6 + 1/6*j**4 - 1/20*j**5 + 0 + 2/3*j**3 + 0*j**2. Let s(f) be the second derivative of t(f). Factor s(g).
2*(g - 2)*(g - 1)
Let j(a) be the second derivative of -a**7/126 + a**6/48 + a**5/24 + 5*a**4/3 + 40*a. Let u(v) be the third derivative of j(v). Find t, given that u(t) = 0.
-1