 r. Factor -12/5*d - 9/5 + 3/5*d**4 + k*d**3 + 6/5*d**2.
3*(d - 1)*(d + 1)**2*(d + 3)/5
Suppose 6*k - 5*k - l = 0, 35 = 2*k + 5*l. Let z(f) be the third derivative of 0 - 3/11*f**3 - 2*f**2 + 0*f - 1/330*f**k + 1/22*f**4. Let z(i) = 0. Calculate i.
3
Let i(n) be the third derivative of -n**8/1260 + n**7/180 + n**6/90 + 3*n**5/10 + 8*n**2. Let p(k) be the third derivative of i(k). Solve p(t) = 0 for t.
-1/4, 2
Suppose 18 = -g + 5*n, -4*n - 81 = 5*g + 38. Let m = 9 - g. Factor 1 - 4*p - 25 + 28*p**2 - 40*p - m*p.
4*(p - 3)*(7*p + 2)
Factor 8*n - n + 10*n - 503*n**2 + 491*n**2 + 3*n**5 + 6*n**4 - 9*n**3 - 5*n.
3*n*(n - 1)**2*(n + 2)**2
Let l = -5215862 + 8726139263/1673. Let i = l + 2/239. Factor 6/7 - i*m + 3/7*m**2.
3*(m - 2)*(m - 1)/7
Let t(z) be the first derivative of 50*z**6/3 + 36*z**5 - 126*z**4 - 464*z**3/3 - 48*z**2 + 49. Suppose t(y) = 0. Calculate y.
-3, -2/5, 0, 2
Let i(b) be the third derivative of -7*b**5/20 - 25*b**4/8 + 6*b**3 - 144*b**2 - 2*b. Solve i(x) = 0.
-4, 3/7
Let m(x) = -x + 8. Let p(y) = -y - 3. Let w be p(-9). Let d be m(w). Factor l + d*l**5 - 4*l + 3*l.
2*l**5
What is u in 3/8*u**5 + 0*u**2 + 0 - 3*u**3 + 3/4*u**4 + 0*u = 0?
-4, 0, 2
Let o(b) be the second derivative of -5*b**4/12 - 65*b**3/6 + 245*b. Factor o(d).
-5*d*(d + 13)
Let c(y) be the first derivative of 0*y - 26 + 2*y**2 - 4/3*y**3. Solve c(u) = 0.
0, 1
Let y(p) be the third derivative of -p**5/105 + p**4/6 + 16*p**3/21 - p**2 - 82. Suppose y(i) = 0. Calculate i.
-1, 8
Let f(u) be the first derivative of -2*u**3/27 + u**2/3 + 8*u/9 - 116. Let f(m) = 0. Calculate m.
-1, 4
Let r(f) be the third derivative of f**6/240 + 3*f**5/20 - f**4/48 - 3*f**3/2 - 256*f**2. Factor r(w).
(w - 1)*(w + 1)*(w + 18)/2
Factor 0*r + 5/4*r**2 + 0 - 1/4*r**4 - r**3.
-r**2*(r - 1)*(r + 5)/4
Let a(m) be the first derivative of 3200*m**3/9 - 80*m**2 + 6*m + 739. Factor a(z).
2*(40*z - 3)**2/3
Suppose 5*i + 15 = -5*v, -56*v + 9 = -59*v. Factor -3/8*m**2 + 3/8*m**3 + i + 0*m.
3*m**2*(m - 1)/8
Suppose 0 = 8*m + 2*m - 760. Let u = -223/3 + m. Factor -u*w**2 - 4/3*w**3 - 1/3*w**4 + 0 - 2/3*w.
-w*(w + 1)**2*(w + 2)/3
Let d(b) be the second derivative of -27*b**4/8 + 33*b**3 - 121*b**2 + 3*b + 31. What is w in d(w) = 0?
22/9
Let h be (21 - 17730/840) + (-15)/(-12). Factor -2/7*r**2 - 8/7*r - h.
-2*(r + 2)**2/7
Let z(t) be the third derivative of -t**5/12 - 25*t**4/6 - 250*t**3/3 - 10*t**2. Factor z(u).
-5*(u + 10)**2
Let x(l) be the third derivative of 1/12*l**4 + 0 + 0*l**3 + 0*l**5 + 0*l - 1/60*l**6 + 5*l**2. Let x(h) = 0. Calculate h.
-1, 0, 1
Factor 126/23*a - 124/23 - 2/23*a**2.
-2*(a - 62)*(a - 1)/23
Let k(d) be the second derivative of -1/2*d**4 + 0 - 5*d + 6*d**2 - 7/2*d**3. Factor k(q).
-3*(q + 4)*(2*q - 1)
Let v(q) = -28*q**4 - 34*q**3 + 22*q**2 + 21*q + 19. Let i(n) = 13*n**4 + 16*n**3 - 10*n**2 - 10*n - 9. Let b(f) = -13*i(f) - 6*v(f). Factor b(g).
-(g - 1)*(g + 1)**2*(g + 3)
Suppose -223*f + 189*f = 0. Let s(j) be the third derivative of 0*j + 7/60*j**6 + 1/15*j**5 + 0*j**3 + 0*j**4 + f - 5*j**2. Suppose s(b) = 0. Calculate b.
-2/7, 0
Let z = -10275/7 - -30839/21. Factor -z*j + 1/3*j**2 - 1.
(j - 3)*(j + 1)/3
Let g be (-54)/(-72)*((-20)/(-135))/1. Let t be 0 + 1 + 4/(-6). Determine m, given that g*m**4 - t*m**2 + 0*m - 2/9*m**3 + 0 = 0.
-1, 0, 3
Suppose -2*h + 0*h = -4. Suppose 1 + 5 = h*u. Solve 3*m**3 + 1 - 2*m**3 - m**2 - 4*m**u + 3*m - 2*m**4 + 2*m**2 = 0.
-1, -1/2, 1
Let v(k) = 2*k**3 + 2*k**2 + 6*k - 1. Let h be v(-3). Let s = 57 + h. Determine f, given that 3/5*f + 1/5*f**s + 2/5 = 0.
-2, -1
Determine l, given that -1/9*l**3 - 100/9 + 5/3*l + 2/3*l**2 = 0.
-4, 5
Let k(q) be the second derivative of -q**4/24 - 11*q**3/6 - 21*q**2/4 + 3*q - 10. Suppose k(t) = 0. What is t?
-21, -1
Let s(r) be the first derivative of -3 - 1/4*r**3 + 0*r**2 + 0*r. Let s(q) = 0. Calculate q.
0
Factor -2/5 + 23/5*o - 21/5*o**2.
-(o - 1)*(21*o - 2)/5
Factor 0 + 2/9*h**2 - 140/9*h.
2*h*(h - 70)/9
Let v(p) be the second derivative of -5*p**6/24 - p**5 - 15*p**4/8 - 5*p**3/3 + 11*p**2/2 - 9*p. Let f(n) be the first derivative of v(n). Factor f(q).
-5*(q + 1)**2*(5*q + 2)
Factor 67*k + 82*k - 3 - 18*k**2 - 161*k - 12*k**3 - 3*k**4.
-3*(k + 1)**4
Let l(b) be the third derivative of 0*b - 8/3*b**5 + 0 + 17/6*b**4 - 4/3*b**3 + 8/15*b**6 + 11*b**2. Determine t so that l(t) = 0.
1/4, 2
Suppose -2*u - 15 = 3*u. Let g = 1 - u. Solve 3/5*h**5 + 3*h - 3*h**g - 6*h**2 + 6*h**3 - 3/5 = 0.
1
Let m = 14527 + -14524. Factor 3/7*q**2 + 15/7*q - 3/7 - 15/7*q**m.
-3*(q - 1)*(q + 1)*(5*q - 1)/7
Let w(z) be the third derivative of z**5/240 + 5*z**4/48 - 13*z**3/8 + 251*z**2. Suppose w(y) = 0. Calculate y.
-13, 3
Suppose -11 = -4*y - 3. Factor n**4 - n**3 - 3*n**2 + 7*n**2 - 4*n**y.
n**3*(n - 1)
Let f(p) = 2*p**2 + 22*p + 2. Let c(v) = 7*v**2 + 89*v + 9. Let k(n) = 2*c(n) - 9*f(n). Factor k(l).
-4*l*(l + 5)
Let k(p) = p**3 - 30*p**2 - p + 33. Let a(t) = -2*t**3 + 30*t**2 + 2*t - 34. Let h(w) = -3*a(w) - 4*k(w). Let h(c) = 0. Calculate c.
-15, -1, 1
Let d be (-6)/(-8)*((-3240)/(-75))/27. Factor -2/5*j**2 - 4/5 - d*j.
-2*(j + 1)*(j + 2)/5
Let d(h) be the third derivative of -3/4*h**4 + 1/5*h**5 + 0*h**3 - 1/60*h**6 + 0*h + 0 - 26*h**2. Solve d(c) = 0 for c.
0, 3
Let d = 10/3243 + 242095/366459. Let m = 1/339 + d. Factor 0 + 0*q - 1/3*q**3 + m*q**2.
-q**2*(q - 2)/3
Factor -21*l + 3/4*l**2 + 39.
3*(l - 26)*(l - 2)/4
Let j(n) be the first derivative of -1/17*n**2 + 0*n + 2/51*n**3 + 3. Factor j(w).
2*w*(w - 1)/17
Let v = 31/52 + 1/260. Let v*f**2 - 3/5*f + 0 = 0. Calculate f.
0, 1
Let d(k) be the second derivative of 0*k**2 - 3/4*k**4 + 0 + 9/5*k**5 - 18*k - 7/10*k**6 - k**3. Factor d(g).
-3*g*(g - 1)**2*(7*g + 2)
Let f(i) = i**2 - 26*i + 88. Let z be f(22). Let g(j) be the second derivative of 1/5*j**5 + 11/6*j**3 + j**2 + 4*j + z + 13/12*j**4. Factor g(v).
(v + 1)*(v + 2)*(4*v + 1)
Let c(g) be the third derivative of -g**8/5040 - g**7/2520 + g**6/540 + 9*g**3/2 - 7*g**2. Let z(f) be the first derivative of c(f). Let z(h) = 0. Calculate h.
-2, 0, 1
Let o be ((-1)/6)/((-6)/72). Let h(s) be the second derivative of 1/20*s**5 - 7/36*s**4 - 1/6*s**o + 0 + 5/18*s**3 + 5*s. Factor h(x).
(x - 1)**2*(3*x - 1)/3
Solve 2*o - o - 5*o**2 + 4*o**2 + 0*o + 12 = 0 for o.
-3, 4
Let f(a) be the third derivative of 3/40*a**5 + 0*a**3 - 26*a**2 + 0*a + 1/80*a**6 + 1/8*a**4 + 0. Find y, given that f(y) = 0.
-2, -1, 0
Let u be (-3346)/(-5975)*10/7. Find y, given that -2/5*y**2 - 2/5 + u*y = 0.
1
Suppose 0 = -3*i + 5*c + 25, -c - 4*c = -4*i + 25. Let s be 4/8 - (2 + -2). Factor 0*v - s*v**4 + 0 - 1/2*v**3 + i*v**2.
-v**3*(v + 1)/2
Let y(q) be the third derivative of -q**7/1155 + 19*q**6/660 - 8*q**5/33 - 25*q**4/33 - 15*q**2 + 4*q. Find v, given that y(v) = 0.
-1, 0, 10
Let k(w) be the third derivative of -24*w**3 + 0*w - 1/15*w**5 - 2*w**4 + 0 + 33*w**2. Determine d so that k(d) = 0.
-6
Let s(l) be the second derivative of 0*l**3 + 0 - 1/5*l**6 + 1/14*l**7 + 0*l**4 + 3/20*l**5 + 0*l**2 + 5*l. Solve s(j) = 0.
0, 1
Let d(m) be the third derivative of -m**6/30 + 22*m**5/3 + 226*m**4/3 + 304*m**3 + 893*m**2. Factor d(h).
-4*(h - 114)*(h + 2)**2
What is s in 144/5*s**3 + 0 - 56/5*s**2 - 2*s**4 + 0*s = 0?
0, 2/5, 14
Let k(i) be the first derivative of -i**6/510 + i**5/170 - 15*i**2/2 + 18. Let r(z) be the second derivative of k(z). Let r(g) = 0. What is g?
0, 3/2
What is r in -2/7*r**2 - 18/7*r - 36/7 = 0?
-6, -3
Let u(a) be the first derivative of -a**4/7 - 68*a**3/21 + 36*a**2/7 + 566. Factor u(q).
-4*q*(q - 1)*(q + 18)/7
Let g(s) be the second derivative of -s**6/60 + s**5/20 + s**4/2 + 7*s**3/6 + 5*s**2/4 - 20*s. Suppose g(p) = 0. What is p?
-1, 5
Let v be -2*((-10)/(-25))/((-32)/10). Let c(b) be the first derivative of -v*b**2 + 1/3*b**3 + 5 - 1/8*b**4 + 0*b. Let c(y) = 0. Calculate y.
0, 1
Let d(c) be the first derivative of 2*c**5/15 + 28*c**4/3 + 240*c**3 + 2592*c**2 + 7776*c - 28. Find y, given that d(y) = 0.
-18, -2
Let u(b) be the first derivative of -2*b**3/9 - 7*b**2/3 + 12*b + 220. Let u(x) = 0. Calculate x.
-9, 2
Let d(w) be the second derivative of -w**6/180 - w**5/60 + 8*w**3/3 + 9*w. Let b(y) be the second derivative of d(y). Find q, given that b(q) = 0.
-1, 0
Factor -50/19*k + 48/19 + 2/19*k**2.
2*(k - 24)*(k - 1)/19
Let h =