tor 4*x**h + 4*x**d - x**2 - 8*x**3 + x**3.
x**2*(x - 1)
Find d such that -220*d + 1230 + 10*d**2 + 447 - 5*d**2 + 743 = 0.
22
Let m(s) be the second derivative of s**5/20 - 18*s**4 + 2592*s**3 - 186624*s**2 + 72*s + 1. Determine w, given that m(w) = 0.
72
Let a(i) be the third derivative of i**8/80640 + i**7/20160 - i**6/1440 - 3*i**5/20 + 4*i**2 + 5*i. Let s(x) be the third derivative of a(x). Factor s(n).
(n - 1)*(n + 2)/4
Factor -69/4*v + 117/2 - 3/4*v**2.
-3*(v - 3)*(v + 26)/4
Let u(v) = v**2 - 1. Let x(b) = -4*b**2 + 4. Let k(p) = -6 - 5*p - 4*p + 0 - p**2. Let q be k(-8). Let m(r) = q*u(r) + x(r). Factor m(a).
-2*(a - 1)*(a + 1)
Let v = 13083/26158 - 2/13079. Let p**2 - 1/2 - 1/2*p - 1/2*p**5 + p**3 - v*p**4 = 0. Calculate p.
-1, 1
Factor 2*s**2 + 13*s**3 + 0*s**2 + 6*s**3 + 5*s**5 + 3*s**5 + 25*s**4.
s**2*(s + 1)*(s + 2)*(8*s + 1)
Factor -9/2*a**3 + 0 - a**4 - 5*a**2 - 3/2*a.
-a*(a + 1)*(a + 3)*(2*a + 1)/2
Let g(c) be the second derivative of 0 - 2/51*c**3 + 3/17*c**2 - 4*c + 1/255*c**6 - 2/51*c**4 + 1/85*c**5. Solve g(w) = 0.
-3, -1, 1
Factor -2/3*r + 20*r**2 + 2/3*r**3 - 20.
2*(r - 1)*(r + 1)*(r + 30)/3
Let w(r) be the second derivative of r**8/1680 + r**7/210 + r**6/90 - r**4/4 - 6*r. Let k(o) be the third derivative of w(o). Let k(z) = 0. Calculate z.
-2, -1, 0
Suppose 2081 = 9*i + 515. Let a = 176 - i. Suppose -1/4*d**4 + 3/4*d**a + 0 + 0*d**3 + 1/2*d = 0. Calculate d.
-1, 0, 2
Suppose u + 0 = -5*j - 2, 5*j - 10 = -5*u. Suppose 0 = 2*d + u - 7. Determine s, given that 3*s + 4*s**3 + s - 8*s - 2*s**2 - d*s**2 + 4 = 0.
-1, 1
Let q(n) be the third derivative of 0*n + 7/144*n**4 + 1/18*n**3 + 0 - 7/720*n**6 + 11*n**2 - 1/180*n**5. Factor q(v).
-(v - 1)*(v + 1)*(7*v + 2)/6
Let j be (-10)/4*(-4)/25. Factor 0*n + 0*n**2 + j*n**4 + 6/5*n**3 + 0.
2*n**3*(n + 3)/5
Let i(f) be the third derivative of -f**5/60 + 7*f**4/6 + 10*f**3 - 3*f**2 + f. Find d such that i(d) = 0.
-2, 30
Let p be 72/(-270)*(5 - 8). Factor 13/5*g**2 + 6/5*g**3 + p + 12/5*g + 1/5*g**4.
(g + 1)**2*(g + 2)**2/5
Let j(r) be the third derivative of 5*r**8/56 + 53*r**7/42 + 119*r**6/24 + 109*r**5/12 + 215*r**4/24 + 5*r**3 + 14*r**2. Suppose j(c) = 0. Calculate c.
-6, -1, -1/2, -1/3
Let w(r) be the second derivative of 14 + 3/20*r**4 - 3/10*r**5 - 2/35*r**7 + 0*r**3 + 0*r**2 + 2*r + 11/50*r**6. Factor w(q).
-3*q**2*(q - 1)**2*(4*q - 3)/5
Let l(a) be the third derivative of -a**10/30240 - a**9/6048 - a**8/4032 + 11*a**5/60 + 13*a**2. Let h(u) be the third derivative of l(u). Factor h(y).
-5*y**2*(y + 1)**2
Find n such that 1/6*n**2 + 0 + 1/6*n**3 - n = 0.
-3, 0, 2
Let w be (-290)/(-360) - 3/4. Let j(l) be the first derivative of 0*l**2 + 4 + 0*l + w*l**3. What is d in j(d) = 0?
0
Let s(b) = -b**4 + 5*b**3 + 10*b**2 - 4. Let w(n) = -n**3 - n**2 - n - 1. Let u(m) = s(m) + 4*w(m). Let u(g) = 0. What is g?
-2, -1, 2
Let u be 8 + (-3 - 2/2). Let c be (3/(-6))/((-1)/u). Find t, given that 3*t**2 + 7*t + 2 - 5*t**c - 7*t = 0.
-1, 1
Let q(j) be the first derivative of 3*j**4/20 + 14*j**3/5 + 39*j**2/10 - 120. Factor q(b).
3*b*(b + 1)*(b + 13)/5
Solve 3*i**2 - 2*i + 3*i**2 - 7*i**2 - 3*i + 3*i - 1 = 0 for i.
-1
Let p(q) be the third derivative of 7*q**5/4 - 745*q**4/24 + 35*q**3/3 - 41*q**2 + 1. Find g, given that p(g) = 0.
2/21, 7
Let k be 17/((-306)/(-56)) - 2. Let -2/3*f**3 - k*f**2 + 0 - 4/9*f = 0. What is f?
-1, -2/3, 0
Let l = -1906/7 - -28604/105. Factor 2/15*x**2 - 4/15*x + l.
2*(x - 1)**2/15
Let k(n) be the first derivative of -n**3/12 + 185*n**2/4 - 34225*n/4 + 102. Factor k(x).
-(x - 185)**2/4
Let o(d) be the first derivative of 10*d**3 + 155*d**2/2 + 25*d + 98. Suppose o(p) = 0. What is p?
-5, -1/6
Factor 4/3*k - 1/3*k**3 - 20/3 + 5/3*k**2.
-(k - 5)*(k - 2)*(k + 2)/3
Let n = -264 + 266. Let j(y) be the third derivative of 1/112*y**8 + 0 + 2*y**n + 0*y**5 - 1/20*y**6 + 0*y**3 + 0*y + 1/8*y**4 + 0*y**7. Factor j(k).
3*k*(k - 1)**2*(k + 1)**2
Let a(n) be the first derivative of 5*n**6/162 + n**5/9 + n**4/6 + 2*n**3/3 + 13. Let j(k) be the third derivative of a(k). Factor j(i).
4*(5*i + 3)**2/9
Let h(i) = -14*i**2 - 12*i - 2. Let j be h(-4). Let z = -530/3 - j. Suppose -z*g**2 - 2/3*g**5 + 0*g**3 + 2/3*g + 0 + 4/3*g**4 = 0. What is g?
-1, 0, 1
Let h(p) be the third derivative of -p**7/12600 + p**4/6 + 5*p**2. Let u(c) be the second derivative of h(c). Suppose u(y) = 0. Calculate y.
0
Factor 1/7*p**5 + 0 + 9/7*p**4 + 24/7*p**2 + 0*p + 26/7*p**3.
p**2*(p + 2)*(p + 3)*(p + 4)/7
Let z be (-60)/(-25) - 8/20. What is u in -6*u - 10*u + 4*u**z - 2 + 18 = 0?
2
Suppose 0 = -10*h + 112*h. Solve 3/7 + h*g**2 - 6/7*g - 3/7*g**4 + 6/7*g**3 = 0.
-1, 1
Let x(f) be the third derivative of -f**10/100800 - f**9/20160 + f**7/1680 + f**6/480 + f**5/60 + 5*f**2. Let d(c) be the third derivative of x(c). Factor d(p).
-3*(p - 1)*(p + 1)**3/2
Let z = -399 + 1199/3. Let x(g) be the first derivative of 1/12*g**4 - 1/6*g**2 + 8 + z*g - 2/9*g**3. Solve x(c) = 0 for c.
-1, 1, 2
Let u(c) = -12*c**3 + 20*c**2 + 200*c + 248. Let m(s) = 4*s**3 - 7*s**2 - 67*s - 83. Let k(g) = -8*m(g) - 3*u(g). Determine x so that k(x) = 0.
-2, 5
Let c(i) be the second derivative of -i**5/90 - i**4/18 - i**3/9 - i**2/9 + 4*i + 4. Factor c(b).
-2*(b + 1)**3/9
Let j be 322/21 + (-4)/(-6). Suppose -4*q = 3*v - j, 4*q + 2*v = -2*v + 16. Suppose 2*l**3 - 6*l**3 + 0*l**q - 5*l**4 + l**4 = 0. Calculate l.
-1, 0
Let c be -6*(-3)/((-9)/(-6)). Let i be (5/(-15))/((-2)/c). Factor x + x - 2*x**3 - 2*x**4 + i*x**2 + 0*x.
-2*x*(x - 1)*(x + 1)**2
Let x(v) be the third derivative of -v**8/2352 - 8*v**7/735 - v**6/60 + 4*v**5/105 + 5*v**4/56 - 8*v**2. Determine w so that x(w) = 0.
-15, -1, 0, 1
Factor 8/7*c - 2/7*c**3 + 0 + 2/7*c**4 - 8/7*c**2.
2*c*(c - 2)*(c - 1)*(c + 2)/7
Suppose 2*t = 3*p - 5*p - 10, 32 = -4*t + 2*p. Let q(v) = 4*v + 28. Let x be q(t). Determine s, given that -1/3*s**3 + x*s + 0*s**2 + 0 = 0.
0
Suppose -3*k = -1 - 5. Factor t**4 - 2*t**4 - t**2 - 2*t**k - 9*t + 5*t**3.
-t*(t - 3)**2*(t + 1)
Let w be 2/12 - 0 - (-1651)/(-195). Let c = w - -64/5. Factor 0 - c*z**2 + z.
-z*(9*z - 2)/2
Let o be (-6)/(-9) - (-1)/3. Let u(q) = 5*q**2 - 1. Let h be u(o). Factor 4*c**4 - 2*c**2 - h*c**4 - 4*c**3 - 6*c**4 + 4*c**4.
-2*c**2*(c + 1)**2
Let j = 36 - 31. Find m, given that -11*m**4 + 6*m**4 + 25*m**2 - 15 - j = 0.
-2, -1, 1, 2
Let u(j) be the first derivative of 1/7*j**2 + 4/7*j - 2/21*j**3 - 8. Find k, given that u(k) = 0.
-1, 2
Let f(r) be the first derivative of -r**7/420 + r**6/36 - r**5/15 - 6*r**3 + 13. Let g(o) be the third derivative of f(o). Let g(h) = 0. What is h?
0, 1, 4
Let j(u) be the first derivative of -3/5*u**2 - 1 - 3/5*u - 1/5*u**3. Factor j(d).
-3*(d + 1)**2/5
Let w = 4 - 1. Let b(d) = -d**2 - 8*d + 3. Let l be b(-8). Factor -10*h**3 + 4*h**3 + 3*h + 6 - 12*h**2 - l*h**w.
-3*(h + 1)**2*(3*h - 2)
Let r be 11/((-66)/(-36)) - -2. Suppose 3*b - r + 8 = 0. Factor 16/5*v**2 + 2/5*v**4 + 8/5*v + b + 2*v**3.
2*v*(v + 1)*(v + 2)**2/5
Let h(g) be the first derivative of 5*g**4 - 145*g**3/3 + 100*g**2 + 240*g - 18. Determine s, given that h(s) = 0.
-3/4, 4
Let l(s) be the first derivative of -5*s**4/36 + 10*s**3/9 - 10*s**2/3 + 2*s + 7. Let n(r) be the first derivative of l(r). Solve n(o) = 0 for o.
2
Suppose 0*v = 23*v - 115. Let b = -28/33 - -404/165. What is p in -b - 14/5*p**2 - 44/5*p - 49/5*p**v - 28/5*p**4 + 143/5*p**3 = 0?
-2, -2/7, 1
Let y be (-4 - (-806)/208) + ((-469)/88)/(-7). Factor 8/11 - 1/11*j**2 + y*j.
-(j - 8)*(j + 1)/11
Let s(f) be the third derivative of -f**10/529200 + f**9/211680 + f**8/35280 + f**5/12 - 2*f**2. Let o(i) be the third derivative of s(i). Solve o(k) = 0.
-1, 0, 2
Let -72*h**2 + h**4 - 5017*h + 4*h**3 + h**4 + 5193*h - 128 = 0. Calculate h.
-8, 2
Let g be (12590/(-1144) + 11)/(1/(-284)). Let c = -13/11 + g. Factor -c + 18/13*q**3 + 10/13*q + 32/13*q**2.
2*(q + 1)**2*(9*q - 2)/13
Let f be (210/(-35) - 138/(-20))/((-12)/(-10)). Factor -15/4*m - 9/4 - f*m**2 + 3/4*m**3.
3*(m - 3)*(m + 1)**2/4
Let j(o) = -o**3 - 9*o**2 - o + 2. Let y be j(-9). Factor y*w**2 - 8*w**2 - w**4 - 2*w**4.
-3*w**2*(w - 1)*(w + 1)
Let l(t) be the second derivative of -t**6/144 + 5*t**4/48 - 5*t**3/2 + 15*t. Let u(j) be the second derivative of l(j). Solve u(p) = 0.
-1, 1
Let y = 3 + 3. Let g(w) = w. Let f(l) = -4*l**2