a(c).
2*(c - 9)**2*(c + 2)/9
Suppose 20 = 2*l - 4*v, -l - v + 340 = 342. Factor 2/7*p**l - 20/7*p + 50/7.
2*(p - 5)**2/7
Let g(q) = -2*q**5 + q**4 - 6*q**3 - 13*q**2 + 26*q - 9. Let i(h) = -h**5 - h**4 + h**2 - h + 1. Let f(p) = g(p) - 3*i(p). Let f(k) = 0. Calculate k.
-4, -3, 1
Let p(i) = -2*i**4 - i**3 + 13*i**2 + 51*i + 19. Let y(h) = -h**3 + h**2 - h + 1. Let a(l) = -2*p(l) - 10*y(l). Suppose a(m) = 0. What is m?
-4, -1, 3
Let y(s) be the first derivative of s**6/9 - 16*s**5/15 + 25*s**4/6 - 76*s**3/9 + 28*s**2/3 - 16*s/3 + 181. Factor y(v).
2*(v - 2)**3*(v - 1)**2/3
Let h = -105 + 101. Let l(p) = -2*p - 3. Let k be l(h). Suppose 8*b**4 + 0 + 14/3*b**k + 2*b**3 + 0*b - 4/3*b**2 = 0. What is b?
-1, 0, 2/7
Let a = -20087/65 + 1559/5. Let k = a + -82/39. Factor 0*h - 1/3*h**4 - k*h**3 - 1/3*h**2 + 0.
-h**2*(h + 1)**2/3
Solve 6*c**3 + 38/7*c**2 - 4/7*c**5 + 0 + 10/7*c + 10/7*c**4 = 0.
-1, -1/2, 0, 5
Let d(m) be the third derivative of 0*m**3 + 1/150*m**5 + 1/120*m**4 + 1/600*m**6 + 0 + 0*m - 18*m**2. Factor d(u).
u*(u + 1)**2/5
Let b(i) = -i**3 - 141*i**2 - 206*i - 46. Let r(c) = -3*c**3 - 141*c**2 - 207*c - 45. Let m(q) = 6*b(q) - 5*r(q). Find j such that m(j) = 0.
-1, -1/3, 17
Let a(q) be the first derivative of -q**5 + 5*q**4 - 25*q**3/3 + 5*q**2 + 110. Let a(g) = 0. What is g?
0, 1, 2
Let f = -7 + 11. Suppose -f*h + 9*h = 20. Determine b, given that 2*b**2 + 9*b**h - 12*b**3 + 3*b**3 + b**2 - 3*b**5 = 0.
0, 1
Solve 12/7*o - 1/7*o**2 + 4 = 0.
-2, 14
Let q be -10 - ((-19456)/(-57))/(-32). Suppose 2/3 + 1/6*z**2 + q*z = 0. Calculate z.
-2
Let o be (-17 + (-23235)/(-1365))*26. Factor o*q + 0 - 1/7*q**4 - 1/7*q**5 - 11/7*q**2 + 9/7*q**3.
-q*(q - 1)**3*(q + 4)/7
Let j(q) = 5*q**4 + 3*q**3 - 8*q**2 - 3*q + 3. Let n(k) = -30*k**3 + 35*k + 10 + 95*k**2 - 5*k**3 - 45 - 60*k**4. Let w(f) = -35*j(f) - 3*n(f). Solve w(u) = 0.
-1, 0, 1
Let u(y) be the second derivative of -y**7/84 + y**6/60 + y**5/20 - y**4/12 - y**3/12 + y**2/4 - 226*y. Factor u(x).
-(x - 1)**3*(x + 1)**2/2
Let b be 45/6 + -3 + 3/66*11. Factor -8/25*h**3 + 0 - 2/25*h**b + 0*h**2 + 0*h - 8/25*h**4.
-2*h**3*(h + 2)**2/25
Let m(b) be the third derivative of -b**6/60 + 7*b**5/10 + b**4/3 - 28*b**3 - 330*b**2 + 2*b. Factor m(d).
-2*(d - 21)*(d - 2)*(d + 2)
Let i = -900 - -902. Let d(q) be the second derivative of 2*q - 3/20*q**4 - 3/5*q**i + 1/2*q**3 + 0. Factor d(j).
-3*(j - 1)*(3*j - 2)/5
Factor -498/7*u**2 - 363/7 + 792/7*u + 72/7*u**3 - 3/7*u**4.
-3*(u - 11)**2*(u - 1)**2/7
Determine a so that -20/3 + 1/6*a**2 - 3*a = 0.
-2, 20
Suppose 1/7*l**2 - 5/7*l + 4/7 = 0. Calculate l.
1, 4
Suppose 0 = 152*i - 159*i - 707. Let h = -97 - i. Factor 0 + 0*d**h - 2/7*d**5 + 0*d**2 + 0*d + 2/7*d**3.
-2*d**3*(d - 1)*(d + 1)/7
Let d(p) be the third derivative of p**7/945 + p**6/54 + 5*p**5/54 + 381*p**2. Factor d(c).
2*c**2*(c + 5)**2/9
Let p(q) be the second derivative of q**6/75 - 13*q**5/50 + 11*q**4/10 - 31*q**3/15 + 2*q**2 + 8*q + 2. Solve p(w) = 0 for w.
1, 10
Let v(r) be the first derivative of r**7/70 - r**6/40 - r**5/10 + 7*r**2/2 + 11. Let h(z) be the second derivative of v(z). Let h(p) = 0. Calculate p.
-1, 0, 2
Suppose j + 1 = -2*o + 15, -4*o = j - 18. Let d(c) = -4*c**2 + 6*c - 5. Let a(p) = 7*p**2 - 11*p + 9. Let u(y) = j*d(y) + 6*a(y). Find w such that u(w) = 0.
1, 2
Let b(f) be the second derivative of 10/27*f**3 + 25/9*f**2 + 1/54*f**4 + 0 + 20*f. Suppose b(t) = 0. What is t?
-5
Let k(j) = 10*j**3 - 26*j**2 - 8*j + 122. Let t(l) = 43*l**3 - 105*l**2 - 34*l + 489. Let i(o) = -9*k(o) + 2*t(o). Factor i(f).
-4*(f - 5)*(f - 3)*(f + 2)
Let p(m) be the second derivative of -3*m**5/100 + 3*m**4/20 + 3*m**3/5 - 12*m**2/5 - 93*m - 3. Determine x, given that p(x) = 0.
-2, 1, 4
Suppose -5*u - 5 = -2*q - 27, 0 = -u + 6. Factor 2/5*t**3 - 1/5*t**q + 0 + 4/5*t**2 - 8/5*t.
-t*(t - 2)**2*(t + 2)/5
Suppose 63*i + 12*i**2 + 3*i**3 - 170*i + 18 + 74*i = 0. What is i?
-6, 1
Suppose 0 = p + 4*d - 6, 3*p + 2*d + 12 = -0*p. Let o(x) = -x**2 - 7*x - 3. Let s be o(p). Suppose 3*y**s - 6*y**3 + 0*y**3 + y**5 + 2*y**3 = 0. Calculate y.
-1, 0, 1
Let y(f) be the second derivative of 2*f**7/315 - 7*f**6/225 + 3*f**5/50 - f**4/18 + f**3/45 + f - 37. Factor y(z).
2*z*(z - 1)**3*(2*z - 1)/15
Let d(l) be the first derivative of -l**6/40 + l**5/10 - 6*l**2 + 4. Let q(h) be the second derivative of d(h). What is x in q(x) = 0?
0, 2
Let u(k) = -4*k**5 + 42*k**4 - 17*k**3 + 23*k**2. Let m(z) = z**5 - 11*z**4 + 4*z**3 - 6*z**2. Let v(x) = -22*m(x) - 6*u(x). What is f in v(f) = 0?
0, 1, 3
Solve -10*c**3 - 10*c - 7*c**2 - 4*c**5 - 9*c**2 + 44*c - 18*c - 2*c**3 + 16*c**4 = 0.
-1, 0, 1, 2
Let h(q) be the first derivative of 2*q**6/21 + 4*q**5/7 + 9*q**4/7 + 4*q**3/3 + 4*q**2/7 - 257. Determine r, given that h(r) = 0.
-2, -1, 0
Let f(o) be the second derivative of o**6/90 - o**5/5 - 5*o**4/4 - o - 5. Let f(v) = 0. Calculate v.
-3, 0, 15
Let q(x) be the third derivative of -x**10/100800 + x**9/17280 + x**8/6720 - 7*x**5/30 + 6*x**2. Let h(f) be the third derivative of q(f). Factor h(v).
-v**2*(v - 3)*(3*v + 2)/2
Suppose 101*j = 97*j. Factor 0*w**3 + 3*w + j - 9*w**2 - 3 + 3*w**3 + 6*w.
3*(w - 1)**3
Factor 7 - 20*p**2 + 4*p**3 - 11*p**3 + 6*p**3 + 5*p**3 + 25 + 8*p.
4*(p - 4)*(p - 2)*(p + 1)
Let c be (-728)/10 + 4/12. Let x = c - -221/3. Factor 0*j - 4/5*j**2 - 2/5*j**4 + 0 + x*j**3.
-2*j**2*(j - 2)*(j - 1)/5
Let v = 35 - 30. Let 6*k**3 + 0*k - k**5 - 3*k - 2*k**v = 0. What is k?
-1, 0, 1
Let d = 185 + -184. Let k be (d/1)/(11 - 8). Factor 1/3*m**5 - m**3 + 1/3*m**4 + 0 - k*m**2 + 2/3*m.
m*(m - 1)**2*(m + 1)*(m + 2)/3
Let n(h) be the second derivative of 1/60*h**5 + 0 - 6*h + 2*h**2 - 1/24*h**4 - 1/480*h**6 + 0*h**3. Let q(o) be the first derivative of n(o). Factor q(g).
-g*(g - 2)**2/4
Let n be (-22)/(-11) - (1 + -4). Let 25*h**4 + 14*h**2 + 45*h**3 + 2*h**5 - h**n + 4*h**5 + 21*h**2 + 10*h = 0. What is h?
-2, -1, 0
Let q be (-1 + 316/16)*((-8)/(-40) - -1). Find m, given that 5 + q*m**3 - 35/2*m**4 + 25/2*m**2 - 45/2*m = 0.
-1, 2/7, 1
Let h(f) be the second derivative of -4/3*f**3 - 1/2*f**2 + 0 - 1/2*f**4 - 1/15*f**5 + 3*f. Let s(g) be the first derivative of h(g). Factor s(o).
-4*(o + 1)*(o + 2)
Solve -72 - 12*g - 1/2*g**2 = 0.
-12
Let k be (-2 + -1 + 2)*-2. Suppose 1 + k = s. Solve 41*p**2 + 9*p**4 + 19*p**2 + 42*p**s + 9*p + 15*p = 0.
-2, -2/3, 0
Let u(d) be the third derivative of d**9/40320 + d**8/2688 - d**5/30 - 13*d**2. Let i(s) be the third derivative of u(s). Factor i(j).
3*j**2*(j + 5)/2
Let i(w) be the third derivative of w**5/60 - 7*w**4/12 + 11*w**3/2 - 322*w**2. Suppose i(k) = 0. What is k?
3, 11
Suppose 2*c - 2*x = 1124, 0 = -4*c - 2*x - 3*x + 2275. Factor 4*d**2 + 283*d - c*d + 286*d - 8.
4*(d - 1)*(d + 2)
Let w(f) = f**2 - 13*f + 32. Let t be w(10). Factor 4/3 - 7/6*o**3 + 3*o**t - 10/3*o + 1/6*o**4.
(o - 2)**3*(o - 1)/6
Factor -4/3*t**3 - 3*t**2 + 9/2 - 1/6*t**4 + 0*t.
-(t - 1)*(t + 3)**3/6
Let b(s) = -27*s**4 + 69*s**3 - 42*s**2 - 66*s - 9. Let p(w) = -13*w**4 + 34*w**3 - 20*w**2 - 32*w - 4. Let l(j) = 4*b(j) - 9*p(j). Factor l(r).
3*r*(r - 2)**2*(3*r + 2)
Let d(t) be the second derivative of 3/10*t**2 - 1/100*t**5 + 1/12*t**4 - 2*t + 6 - 7/30*t**3. Factor d(k).
-(k - 3)*(k - 1)**2/5
Find o, given that 878*o**2 - 854*o**2 - 4*o**4 + 7 + 5 - 32*o = 0.
-3, 1
Suppose 2*n = t + 3*t - 8, 2*n = t + 4. Let o(m) = m - 19. Let d be o(23). Determine h, given that h**4 + 6*h**2 - 4*h - 5*h**4 - 2*h**d + n*h**4 = 0.
-2, 0, 1
Let t(x) be the third derivative of -x**8/3192 + 3*x**7/665 - 7*x**6/570 - x**5/285 + 5*x**4/76 - 7*x**3/57 - 82*x**2 + x. Solve t(i) = 0.
-1, 1, 7
Let h(m) = -129*m + 2196. Let c be h(17). Factor 0 + 0*b - 6/5*b**2 - 3/5*b**4 + 9/5*b**c.
-3*b**2*(b - 2)*(b - 1)/5
What is p in 29/6*p**2 - 5/2*p + 0 + 1/3*p**3 = 0?
-15, 0, 1/2
Let t = 79/11 + -351/55. Suppose -t*d**2 + 8/5*d - 4/5 = 0. Calculate d.
1
Let j(k) = k**2 - 50*k - 51. Let l(x) = -50*x - 50. Let z(n) = -5*j(n) + 6*l(n). Factor z(g).
-5*(g + 1)*(g + 9)
Let w be 0 - 2 - (-18)/(-2). Let o = w - -13. Factor 31*z**3 - 8*z**2 - 10*z**4 - 2*z - 47*z**3 + 2*z - o*z**5.
-2*z**2*(z + 1)*(z + 2)**2
Let f(t) be the third derivative of -t**8/10080 + t**7/840 + t**6/90 - t**5/20 + 34*t**2. Let k(j) be the third derivative of f(j). What is i in k(i) =