*a**3/7 - 15*a**2/7 - 690. Suppose w(z) = 0. Calculate z.
-2, -1, 0, 5
Suppose 0 = -3*u + w + 11, 3 = 2*u + 4*w - 9. Suppose -j + 11 = 4. Solve 4*y**3 - 4*y**2 - u*y**5 - y**4 - 2*y**4 + j*y**4 = 0.
-1, 0, 1
Let g be ((3/2)/(-3))/((-6)/48). Suppose 2*h - 2*h = -g*h. Factor -2/9*r**2 + h - 4/9*r.
-2*r*(r + 2)/9
Let k(s) be the third derivative of 3/20*s**5 + 43*s**2 + 0*s**4 - 1/20*s**6 - 1/70*s**7 + 0*s**3 + 0*s + 0. Solve k(o) = 0 for o.
-3, 0, 1
Let q(f) = 3*f**2 - 11*f + 10. Let v be q(7). Factor -v + 80 + d**2 - 4*d**3.
-d**2*(4*d - 1)
Let b(c) = -3*c - 767 + 10*c + c**2 + 689. Let r be b(6). Solve 3/2*p**3 - 6 + r*p + 9/2*p**2 = 0 for p.
-2, 1
Let j(b) be the third derivative of b**8/120960 - b**7/6048 - b**6/720 - 11*b**5/20 + 12*b**2. Let k(u) be the third derivative of j(u). Factor k(d).
(d - 6)*(d + 1)/6
Let s(o) be the third derivative of -o**6/1980 - o**5/132 - o**4/22 - 8*o**3/3 + 5*o**2. Let q(n) be the first derivative of s(n). Find w, given that q(w) = 0.
-3, -2
Let a = -1174 - -1178. Let b(d) be the second derivative of 0*d**2 - 1/12*d**a + 0 - 1/24*d**3 - 5*d. Factor b(f).
-f*(4*f + 1)/4
Let d be ((60/(-175))/(2/(-5)))/(45/42). Solve -6/5*f**3 - 1/5*f + d*f**2 + 4/5*f**4 + 0 - 1/5*f**5 = 0.
0, 1
Let x(c) be the third derivative of -c**7/280 - c**6/20 - c**5/8 - 13*c**3/3 - 29*c**2. Let y(s) be the first derivative of x(s). Let y(k) = 0. Calculate k.
-5, -1, 0
Let y(u) be the first derivative of u**6/100 - u**5/30 + u**4/60 + u**3/15 + 4*u**2 + 11. Let l(f) be the second derivative of y(f). Let l(a) = 0. Calculate a.
-1/3, 1
Let i(w) be the first derivative of w**6/36 - 61*w**5/30 + 235*w**4/4 - 825*w**3 + 21375*w**2/4 - 16875*w/2 + 304. Find f such that i(f) = 0.
1, 15
Let v(p) = -p**3 + 4*p**2 + 8*p + 4. Let o be v(6). Let y be (0 + 8/o)*-15. Find m such that 5 - y - 2*m**2 + 1 - 4*m = 0.
-2, 0
Let n = -29609/9 + 3291. Factor n*l - 8/9 - 2/9*l**2.
-2*(l - 4)*(l - 1)/9
Let l(n) be the first derivative of -n**4/10 + 4*n**3/15 - n**2/5 - 313. What is k in l(k) = 0?
0, 1
Let q(r) be the first derivative of 2*r**6/15 - 8*r**5/25 - r**4/5 + 8*r**3/15 - 20. Find n, given that q(n) = 0.
-1, 0, 1, 2
Suppose -132*p - 7*p + 292 = 7*p. Factor -19/3*y - 5/3 + 4/3*y**p.
(y - 5)*(4*y + 1)/3
Let p(c) be the third derivative of -c**5/20 - 7*c**4/8 + 4*c**3 - 4*c**2 - 3. Let p(k) = 0. Calculate k.
-8, 1
Let n(i) be the first derivative of -i**6/6 + 3*i**5/5 + 5*i**4/2 + 2*i**3/3 - 9*i**2/2 - 5*i - 36. Find y such that n(y) = 0.
-1, 1, 5
Let d be (0 - 40/(-780))/(2/6). Suppose d*w**2 - 6/13 + 4/13*w = 0. Calculate w.
-3, 1
Let g = -43/2 - -23. Let a be (0/(17 - 9))/2. Determine s, given that 9/4*s**3 + g*s**2 + a*s + 0 + 3/4*s**4 = 0.
-2, -1, 0
Suppose 3*c - 7*c + 60 = 0. Suppose -c*l + 19*l = 12. Factor -11*v - l*v**3 + 10*v**2 - 5*v + 8 + v**3.
-2*(v - 2)**2*(v - 1)
Let j(l) be the first derivative of l**4 - 112*l**3 + 4704*l**2 - 87808*l - 100. Factor j(f).
4*(f - 28)**3
Let y(o) be the second derivative of 1/30*o**5 - 1/3*o**4 + o + 7/2*o**2 + 0 + 4/3*o**3. Let x(a) be the first derivative of y(a). Factor x(f).
2*(f - 2)**2
Let b = 401/111 - 72/37. Find z such that -1/3*z**2 - 2*z - b = 0.
-5, -1
Suppose 15/4*p**2 - 45/4*p + 25/4*p**3 + 0 + 5/4*p**4 = 0. Calculate p.
-3, 0, 1
Let t(d) be the first derivative of -11 - 3/4*d**4 + 3*d + 1/4*d**6 - 3/5*d**5 + 4*d**3 - 21/4*d**2. Suppose t(i) = 0. Calculate i.
-2, 1
Suppose 151*f + 96*f = 988. Factor 1/6*p - 1/6*p**2 + 1/6*p**f + 0 - 1/6*p**3.
p*(p - 1)**2*(p + 1)/6
Let i be 9/20 - 8/32. What is r in 1/5*r - 2/5 + i*r**2 = 0?
-2, 1
Suppose -304*h**4 + 60 + 34*h + 545*h**3 - 28*h**4 - 58*h**4 + 406*h - 360*h**5 + 955*h**2 = 0. What is h?
-1, -2/3, -1/4, 3/2
Let q(g) be the second derivative of -11*g + 0 - 2*g**2 + 1/5*g**5 + 1/3*g**4 - 2/3*g**3. Factor q(k).
4*(k - 1)*(k + 1)**2
Suppose 3*a - 7*a + 12 = 0. Let b be -1 - (-1 - 1)/((-15)/(-30)). What is r in -r**4 + 6*r**4 - b*r + r**4 + 9*r**a = 0?
-1, 0, 1/2
Let z(a) = -6*a - 29. Let c be z(-12). Let 85*t**2 - 44*t**2 - c*t**2 - 4*t = 0. What is t?
-2, 0
Let g = 24 - 18. Factor -k**2 - 2 + 28*k**3 + 4*k + 10*k**4 - 16*k**2 - g*k**2 + 47*k**2.
2*(k + 1)**3*(5*k - 1)
Let t(n) be the second derivative of 0 - 3/2*n**2 + 7/6*n**3 + 1/20*n**5 - 5/12*n**4 - 14*n. Find g, given that t(g) = 0.
1, 3
Let z(h) be the first derivative of -h**4/5 + 188*h**3/15 - 230*h**2 + 2116*h/5 - 197. Factor z(l).
-4*(l - 23)**2*(l - 1)/5
Let c(p) = p**2 - 11*p + 18. Let j be c(9). Let r(o) be the second derivative of 0*o**3 + 1/4*o**5 + j*o**2 + 3*o - 5/12*o**4 + 0. Factor r(w).
5*w**2*(w - 1)
Let h be -6 - (720/(-42) + 8/2). Solve -12/7 - h*d + 18/7*d**2 = 0.
-2/9, 3
Factor -3/7*r**4 - 24/7*r**3 - 30/7*r + 0 - 51/7*r**2.
-3*r*(r + 1)*(r + 2)*(r + 5)/7
Suppose 4*i - 8*i = -32. Suppose -14*s = -18*s + i. Factor -3/2*m**s - 1/2*m**3 - 1/2 - 3/2*m.
-(m + 1)**3/2
Let g = 197/600 - -1/200. Factor -1/6*p**5 + 1/6 + 1/3*p**3 - g*p**2 + 1/6*p**4 - 1/6*p.
-(p - 1)**3*(p + 1)**2/6
Let h be -27 + 21 + (-62)/(-10). Let y(i) be the third derivative of 7/3*i**4 + 8/3*i**3 + 1/15*i**7 + 0*i + 0 - 19/60*i**6 + 10*i**2 - h*i**5. Factor y(c).
2*(c - 2)**2*(c + 1)*(7*c + 2)
Let m(n) be the first derivative of n**4/8 - 26*n**3/3 + 621*n**2/4 + 729*n - 91. Factor m(j).
(j - 27)**2*(j + 2)/2
Suppose -49*s**2 + 152*s - 297*s**2 + 8 + 823*s**3 - 1033*s**3 = 0. Calculate s.
-2, -1/21, 2/5
Suppose 12/7*m - 2/7*m**3 + 0 - 2/7*m**2 = 0. What is m?
-3, 0, 2
Let q be (-263 - -273) + 158/(-16). What is r in 0 - 1/4*r + 1/8*r**3 - q*r**2 = 0?
-1, 0, 2
Suppose -3*m - 16 = h - 71, 5*m = h + 97. Factor 3*f + 18*f**2 - m*f**2 + 5 + f.
-(f - 5)*(f + 1)
Suppose -6*a - j = -3*a - 11, -15 = -4*a - j. Let m be 2/a*(-16)/(-24). Factor m*w**2 - 1/3*w + 0.
w*(w - 1)/3
Let p = 4/6379 + 89270/57411. Determine u, given that 4/9*u**4 - p*u + 2/3*u**3 - 2/3*u**2 - 2/3 = 0.
-1, 3/2
Suppose -3*l = u + 23 + 18, u = 4*l + 57. Let h be (-28)/l*(-191)/(-2). Factor -4*q**2 - h + 4*q + 191.
-4*q*(q - 1)
Let p(t) be the first derivative of t**5/330 - 3*t**4/22 + 27*t**3/11 - 3*t**2 + 13. Let l(y) be the second derivative of p(y). Factor l(g).
2*(g - 9)**2/11
Let q be 21/36*(7 - -5) - 10/4. Find l, given that -13*l**3 + 105/2*l + 17*l**4 - 9 - 52*l**2 + q*l**5 = 0.
-3, 2/9, 1
Let u(a) be the third derivative of -a**5/30 + 95*a**4/3 - 36100*a**3/3 - 3*a**2 + 58. Determine b so that u(b) = 0.
190
Let h(f) be the second derivative of -f**8/10080 + f**7/3780 + f**6/540 - 5*f**4/3 - 50*f. Let k(x) be the third derivative of h(x). Factor k(z).
-2*z*(z - 2)*(z + 1)/3
Let x(n) = -2*n**4 - 7*n**3 + n**2 + 2*n + 6. Let d(t) = -2*t**4 - 6*t**3 + 2*t**2 + 2*t + 4. Let j(f) = -5*d(f) + 4*x(f). What is k in j(k) = 0?
-2, -1, 1
Let u(v) be the second derivative of -v**5/90 + 5*v**4/27 + v**3/27 - 10*v**2/9 - 289*v. Let u(s) = 0. Calculate s.
-1, 1, 10
Let r(i) be the second derivative of i**2 + 4*i + 1/45*i**5 + 32/9*i**3 + 4/9*i**4 + 0. Let d(h) be the first derivative of r(h). Find c, given that d(c) = 0.
-4
Let h(i) = i + 8. Let y be h(-5). Factor -3*t - 9*t - y + 3*t**2 + 12.
3*(t - 3)*(t - 1)
Let j(y) = y**2 - 329*y + 328. Let c(h) = -h**2 + 164*h - 163. Let n(z) = 9*c(z) + 4*j(z). What is w in n(w) = 0?
1, 31
Let j be (-21)/10*12*-5. Let a be 0 + ((-18)/j)/((-4)/14). Factor -a*z + 0 - 1/2*z**2.
-z*(z + 1)/2
Let j be 5*(-14 + 3091/220). Factor 0 + j*v**3 + 0*v - v**2.
v**2*(v - 4)/4
Let c(y) be the third derivative of -9*y**8/4480 + y**7/840 + 5*y**4/12 - 5*y**2. Let v(j) be the second derivative of c(j). Suppose v(w) = 0. Calculate w.
0, 2/9
Let l(i) = -2950*i**3 + 850*i**2 + 1725*i + 365. Let v(d) = 983*d**3 - 283*d**2 - 575*d - 122. Let g(f) = 3*l(f) + 10*v(f). Solve g(h) = 0.
-5/14, 1
Let r(c) be the third derivative of 0*c**4 - 1/20*c**5 - 1/40*c**6 + 0*c**3 + 0 - 12*c**2 + 0*c. Solve r(s) = 0.
-1, 0
Let u(x) be the third derivative of x**6/60 - x**5/15 - 13*x**4/12 - 10*x**3/3 - 21*x**2 - 4*x. Factor u(h).
2*(h - 5)*(h + 1)*(h + 2)
Let a(l) be the first derivative of -2*l**5/15 - 10*l**4/3 + 44*l**3/3 - 68*l**2/3 + 46*l/3 + 98. Factor a(f).
-2*(f - 1)**3*(f + 23)/3
Let d(x) be the first derivative of x**6/660 - x**5/165 + x**4/132 - 9*x**2/2 - 29. Let u(s) be the second derivative of d(s). Factor u(t).
2*t*(t - 1)**2/11
Suppose 