rst derivative of 5/24*r**4 - 5*r + 4 - 1/40*r**5 - 2/3*r**3 + r**2. Let j(g) be the first derivative of d(g). Factor j(k).
-(k - 2)**2*(k - 1)/2
Solve 197*m**2 - 86*m**2 - 43*m**2 + 288*m = 0 for m.
-72/17, 0
Factor -1/2*h**3 + 1/2*h + 1/2*h**2 - 1/2.
-(h - 1)**2*(h + 1)/2
Let l(y) be the second derivative of -y**7/1260 - y**6/540 + y**5/90 + y**3/2 - 19*y. Let q(t) be the second derivative of l(t). Solve q(j) = 0 for j.
-2, 0, 1
Let h be (-122)/3*((-9)/24 - 0). Let n = -297/20 + h. Factor -n*u**2 + 0 - 2/5*u.
-2*u*(u + 1)/5
Let k(x) be the second derivative of x**7/126 + x**6/15 + 2*x**5/15 - 4*x**4/9 - 8*x**3/3 - 16*x**2/3 - 10*x - 3. Determine s, given that k(s) = 0.
-2, 2
Let f(r) be the first derivative of -1/12*r**3 + 0*r - 1/16*r**2 - 19. Determine o, given that f(o) = 0.
-1/2, 0
Suppose 3*x - 5*p = -4*p + 10, 0 = 3*p - 6. Let t(z) be the third derivative of 1/180*z**5 + 1/18*z**x + 0*z + 0 - 11*z**2 + 2/9*z**3. Solve t(h) = 0.
-2
Let p(n) be the third derivative of 50/3*n**3 + 19*n**2 + 11/15*n**5 + 0 + 35/6*n**4 + 0*n + 1/30*n**6. Factor p(x).
4*(x + 1)*(x + 5)**2
Let i be 29/(-4) - (-8 - 0). Let c = -1/24 + 67/24. Factor i*j**2 + c*j + 3/2.
(j + 3)*(3*j + 2)/4
Let u = 1994/21 - 905/7. Let s = u + 35. Factor -s*t**2 + 4/3 + 2/3*t.
-2*(t - 2)*(t + 1)/3
Suppose -8*y = 27*y - 154*y + 357. Factor -5/2*w**y + 0 - 5/2*w**4 + 0*w - 5/6*w**5 - 5/6*w**2.
-5*w**2*(w + 1)**3/6
Let i(k) = -5*k**3 - 104*k**2 + 667*k. Let b(y) = -y**3 - 26*y**2 + 167*y. Let r(p) = 9*b(p) - 2*i(p). What is x in r(x) = 0?
0, 13
Let l(z) = 4*z**2 - z. Let c be l(-1). Determine o so that -209 + 5*o**2 - c*o + 209 = 0.
0, 1
Factor -192/11*h**2 - 108/11 - 30/11*h**3 - 342/11*h.
-6*(h + 3)**2*(5*h + 2)/11
Let g(f) be the third derivative of 0*f**3 + 0 + 6*f**2 + 0*f**4 + 0*f - 1/30*f**5. Factor g(l).
-2*l**2
Let w(h) = -h**3 - 4*h**2 + 6*h + 7. Let y be w(-5). Suppose -1 + 1 + 7*v**2 + 2*v + 1 - 6*v**y = 0. What is v?
-1
Let i(w) be the third derivative of 5*w**2 + 0 + 0*w**3 + 0*w - 1/100*w**6 + 2/75*w**5 - 1/60*w**4. What is a in i(a) = 0?
0, 1/3, 1
Let c(i) be the first derivative of i**4/2 + 359*i**3/6 - 413*i**2/2 + 92*i - 655. Factor c(n).
(n - 2)*(n + 92)*(4*n - 1)/2
Factor 3*d + 30*d**2 + 4*d**3 - 18*d**2 - 3*d + 8*d**2.
4*d**2*(d + 5)
Let a(k) = -k**4 + 3*k**3 - k**2 - k + 1. Let g(x) = 5*x**4 - 14*x**3 + 9*x**2 - 8*x + 2. Let v(z) = -6*a(z) - g(z). Let v(s) = 0. Calculate s.
-2, 1, 4
Let a(w) be the third derivative of w**6/180 + w**5/15 + w**4/3 + 22*w**3/3 + 4*w**2 - w. Let q(r) be the first derivative of a(r). Find l such that q(l) = 0.
-2
Let y(r) be the second derivative of r**5/5 - 4*r**4/3 - 2*r**3/3 + 8*r**2 + 4*r + 15. Let y(z) = 0. What is z?
-1, 1, 4
Let l(h) = -5*h**3 - 8*h**2 + 5*h - 1. Let d(t) = 5*t**3 + 9*t**2 - 5*t + 3. Let w(o) = -3*d(o) - 4*l(o). Determine z, given that w(z) = 0.
-1, 1
Let q = -6/2359 - -4748/11795. Factor -2/5*w**2 + q*w**4 + 0 + 1/5*w**5 - 1/5*w + 0*w**3.
w*(w - 1)*(w + 1)**3/5
Let m = 18197 + -163772/9. Factor 2/9*c - m - 1/9*c**2.
-(c - 1)**2/9
Suppose 28*h - 20 = -5*u + 32*h, 2*u + h - 8 = 0. Let r(y) be the second derivative of 5*y - 1/4*y**2 + 0 - 1/24*y**u - 1/6*y**3. Let r(m) = 0. What is m?
-1
Let a(z) be the first derivative of -z**7/14 - z**6/6 - z**5/20 + z**4/12 + 46*z + 6. Let b(h) be the first derivative of a(h). What is c in b(c) = 0?
-1, 0, 1/3
Let s(n) be the first derivative of -2*n**3/3 - 186*n**2 - 370*n - 567. Factor s(b).
-2*(b + 1)*(b + 185)
Suppose -1 - 3 = -2*z. Suppose 0 = -2*o - 44 + 50. Factor 2/3*f**o + 2/3*f**4 - 4/3 - 10/3*f - 2*f**z.
2*(f - 2)*(f + 1)**3/3
Let i(q) be the second derivative of -1/12*q**3 + 0 + 1/2*q**2 + 1/40*q**5 - 5/24*q**4 + 1/20*q**6 + 9*q. Factor i(h).
(h - 1)*(h + 1)**2*(3*h - 2)/2
Let g(i) be the third derivative of 32*i**2 - 4/15*i**5 + 0*i + 1/2*i**4 + 0 + 12*i**3 - 1/30*i**6. Factor g(m).
-4*(m - 2)*(m + 3)**2
Let s(u) = -8*u**2 + 141*u + 131. Let b(g) = -26*g**2 + 424*g + 390. Let q(y) = 6*b(y) - 20*s(y). Suppose q(m) = 0. What is m?
-1, 70
Let q(l) = -l**2 + 4*l + 10. Let j be q(5). Suppose 10 = -5*y + 2*u, 7*y - j = 2*y - u. Let 2/15*k + 4/15*k**2 + y = 0. Calculate k.
-1/2, 0
Let x(c) be the third derivative of 7/20*c**5 + 6*c**3 - 2*c**4 + 0*c - 20*c**2 + 0 - 1/40*c**6. Find w such that x(w) = 0.
2, 3
Let b(j) = 6*j**2 + 0*j**2 - j + 3*j**2 + 4 + 7. Let l(p) = 6*p - p + 6 - p + 5*p**2 - 5*p. Let v(t) = 4*b(t) - 7*l(t). Factor v(i).
(i + 1)*(i + 2)
Let s = 124 - 122. Suppose 4*r - s*u - 16 = -0*r, 0 = 3*r - u - 11. Factor -14/3*p**4 - 4/3*p + 2*p**5 + 2*p**r + 0 + 2*p**2.
2*p*(p - 1)**3*(3*p + 2)/3
Let p = 4572/205 - 144/205. Determine h so that p*h + 14/5*h**2 - 32/5 = 0.
-8, 2/7
Let f = -91 + 91. Let u(h) be the second derivative of 3/20*h**5 - 1/30*h**6 - 1/6*h**4 + 0*h**3 + f + 2*h + 0*h**2. Factor u(p).
-p**2*(p - 2)*(p - 1)
Suppose -80*d = 5*c - 75*d - 10, 0 = -c - 4*d - 7. What is s in 2/5*s**4 - 2/5*s**2 + 4/5*s - 6/5*s**3 + 2/5*s**c + 0 = 0?
-2, -1, 0, 1
Let r(u) be the third derivative of -u**6/300 + u**5/15 - 3*u**4/20 - 12*u**2 - u. Factor r(g).
-2*g*(g - 9)*(g - 1)/5
Let f be ((-112)/(-16))/(28/8). Factor -1/4*n - 1/2 + 1/4*n**f.
(n - 2)*(n + 1)/4
Let 102*b**3 + 319/6*b**4 + 0 - 121/6*b**5 + 94/3*b**2 + 8/3*b = 0. Calculate b.
-1, -2/11, 0, 4
Suppose 10 = -2*n - 0*w - 4*w, n - 3*w = 15. Let s(j) = j**2 - 5*j + 9. Let t be s(n). Factor -14*k + 124*k**2 + 4 - 88*k**t - 19*k**2 + 16*k**4 - 23*k.
(k - 4)*(k - 1)*(4*k - 1)**2
Let r(a) be the first derivative of 0*a + 3/5*a**5 + 9/2*a**2 + 4 + 3/4*a**4 - 5*a**3. Let r(v) = 0. Calculate v.
-3, 0, 1
Let y(p) be the second derivative of -p**9/3780 + p**8/560 - p**7/315 + p**4/12 + 2*p. Let t(n) be the third derivative of y(n). Factor t(z).
-4*z**2*(z - 2)*(z - 1)
Factor -1408*r**3 + 102*r**2 + 59*r + 2*r**4 + 39*r + 0 + 1446*r**3 + 32.
2*(r + 1)**3*(r + 16)
Let v(h) be the second derivative of 5/4*h**5 + 0 + 7/6*h**6 + 10*h - 20/3*h**4 + 10/3*h**3 + 0*h**2. Factor v(q).
5*q*(q - 1)*(q + 2)*(7*q - 2)
Let l be (11 - (-235)/(-20))/(-6). Factor 5/2*a + 25/2 + l*a**2.
(a + 10)**2/8
Let o = -445 + 448. What is i in 6*i**3 + 0 - 15/2*i**2 - 3/2*i**4 + o*i = 0?
0, 1, 2
Let r(y) be the first derivative of 2*y**6/15 + 7*y**5/20 + y**4/6 - y**3/6 - 6*y + 2. Let k(c) be the first derivative of r(c). Factor k(f).
f*(f + 1)**2*(4*f - 1)
Let k(z) be the first derivative of 9 + 1/24*z**4 + 0*z**5 + 4*z - 1/8*z**2 + 0*z**3 - 1/120*z**6. Let d(l) be the first derivative of k(l). Factor d(g).
-(g - 1)**2*(g + 1)**2/4
Let j(w) = 28*w**3 - 8*w**2 - 112*w + 30. Let q(g) = -28*g**3 + 8*g**2 + 112*g - 29. Let s(y) = 3*j(y) + 2*q(y). Factor s(t).
4*(t - 2)*(t + 2)*(7*t - 2)
Let w(b) be the first derivative of 2*b**5/45 - 8*b**4/9 - 34*b**3/27 + 107. Factor w(z).
2*z**2*(z - 17)*(z + 1)/9
Let v(i) be the third derivative of -i**5/30 + i**4/2 - 5*i**3/3 + 115*i**2. Suppose v(u) = 0. Calculate u.
1, 5
Find j such that -5/8*j + 7/4 - 1/8*j**2 = 0.
-7, 2
Suppose 0 = 2*w + k - 0*k + 14, k - 28 = 5*w. Let j be (0 - -7) + 1 + w. Suppose 0*p - 1/5*p**j + 0 - 1/10*p**3 = 0. Calculate p.
-2, 0
Let j = 94 + -103. Let k be 0/(-2) + -6*j/126. Determine v so that 3/7 - 6/7*v + k*v**2 = 0.
1
Let p(k) be the first derivative of k**3/24 + k**2/8 - 3*k/8 + 31. Factor p(r).
(r - 1)*(r + 3)/8
Find u, given that -1/5*u**3 - 20*u + 0 + 4*u**2 = 0.
0, 10
Let k(d) = 5*d - 1. Let q(j) = j**2 + 22*j + 73. Let p(h) = 15*k(h) + 5*q(h). What is u in p(u) = 0?
-35, -2
Let v(c) be the first derivative of -c**6/21 - 16*c**5/35 - 25*c**4/14 - 76*c**3/21 - 4*c**2 - 16*c/7 - 95. Suppose v(x) = 0. Calculate x.
-2, -1
Let c(h) be the second derivative of -4*h + 1/80*h**5 - 1/24*h**3 + 0 - 1/24*h**4 + 1/4*h**2. Determine g, given that c(g) = 0.
-1, 1, 2
Find y, given that -244205 - 208*y**2 - 39*y**2 + 242*y**2 + 2210*y = 0.
221
Let v be (4 - 4) + (-22 + 22)/(0 - -1). Suppose v*p + 15/2*p**4 + 6*p**2 + 3/2*p**5 + 12*p**3 + 0 = 0. What is p?
-2, -1, 0
Suppose 0 = 2*x - x - 2*l - 9, 9 = x - 3*l. Let a(k) be the first derivative of 1/3*k**3 + 0*k + k**2 - x. Determine q so that a(q) = 0.
-2, 0
Let q(t) = -4*t**2 + 6*t - 1. Let k(c) = -2*c + 19. Let f be k(7). Let o(y) = 5*y**2 - 7*y. Let s(j) = f*o(j) + 6*q(j). Find b, given that s(b) = 0.
-3, 2
Solve -11/4*m**2 + 19/4*