3 + c - 2*d + 1/36*d**4 - 1/6*d**2. Factor i(s).
(s - 1)*(s + 1)/3
Let o(j) be the third derivative of -j**7/105 + j**6/50 + 4*j**5/25 + j**4/6 - j**3/5 + 457*j**2. Let o(y) = 0. Calculate y.
-1, 1/5, 3
Let h(l) be the third derivative of l**6/24 - 5*l**5/3 + 185*l**4/24 - 15*l**3 - 137*l**2. Factor h(a).
5*(a - 18)*(a - 1)**2
Let a(l) = -l**2 - 6*l - 6. Let o be a(-3). Factor o*x**2 + 8*x - 8*x.
3*x**2
Let m(h) be the first derivative of -h**3/5 + 57*h**2/10 - 102*h/5 + 42. Solve m(n) = 0.
2, 17
Let x(r) be the first derivative of -5*r**5/4 - 65*r**4/16 + 29*r**3/12 - 3*r**2/8 + 79. Let x(p) = 0. What is p?
-3, 0, 1/5
Let g(q) = 8*q**2 - 8*q. Let c be 6/21 + 74/(-14). Let f(p) = 7*p**2 - 7*p. Let i(o) = c*g(o) + 6*f(o). Let i(j) = 0. What is j?
0, 1
Let l = 27974 - 363660/13. Factor 0 + l*c**2 + 4/13*c.
2*c*(c + 2)/13
Let j(o) be the second derivative of -o**5/240 - 5*o**4/96 - o**3/6 - 12*o**2 - 6*o. Let y(h) be the first derivative of j(h). Factor y(d).
-(d + 1)*(d + 4)/4
Let f(h) be the second derivative of 1/66*h**4 + 11*h - 1/11*h**2 + 1/33*h**3 - 1/110*h**5 + 0. Let f(l) = 0. What is l?
-1, 1
Let n(d) be the second derivative of d**7/105 + 2*d**6/75 - 6*d**5/25 + 7*d**4/15 - d**3/3 + 2*d + 4. Factor n(l).
2*l*(l - 1)**3*(l + 5)/5
Suppose -4*d - 2*i = -4*i - 20, -3*d = 4*i - 15. Let h(b) be the first derivative of 0*b**3 + 0*b**2 - 1/10*b**6 + 12/25*b**d - 3/5*b**4 - 3 + 0*b. Factor h(r).
-3*r**3*(r - 2)**2/5
Let q(i) = 6*i + 3. Let h be q(3). Suppose 14*a = 430 - 388. Determine w so that -2 + 2*w**3 + h*w**4 + 6 - 10*w**a + 8*w - 25*w**2 + 0 = 0.
-1, -2/7, 2/3, 1
Let i(y) be the second derivative of -5/66*y**3 - 1/132*y**4 + 7*y + 0 + 3/11*y**2. Factor i(c).
-(c - 1)*(c + 6)/11
Let f(g) be the third derivative of -g**6/180 - g**5/60 + g**4/6 + 2*g**3 - 10*g**2. Let q(t) be the first derivative of f(t). Determine u, given that q(u) = 0.
-2, 1
Let s = 215 + -210. Let w(y) be the third derivative of -3*y**2 - 1/12*y**4 + 0*y + 0*y**3 + 1/30*y**s + 0. Factor w(m).
2*m*(m - 1)
Factor 121/3 - 198*k - 5/12*k**3 - 73/4*k**2.
-(k + 22)**2*(5*k - 1)/12
Let d be (80/(-56))/(2/(-7)). Let v be (-2 + ((-40)/(-15) - 1))*-6. Find j such that -2/3*j**3 + 0 + 0*j - 2/3*j**d + 0*j**v - 4/3*j**4 = 0.
-1, 0
Let r(g) = 9*g**4 - 51*g**3 + 60*g**2 - 6*g + 6. Let y(j) = 8*j**4 - 52*j**3 + 59*j**2 - 5*j + 5. Let x(v) = 5*r(v) - 6*y(v). Solve x(k) = 0.
0, 1, 18
Let x(i) be the second derivative of i**7/420 - i**6/180 - i**5/60 + i**4/12 - 11*i**3/6 + 11*i. Let h(o) be the second derivative of x(o). Factor h(z).
2*(z - 1)**2*(z + 1)
Factor 2/15*c**4 + 0 + 2/5*c**3 - 6/5*c**2 + 2/3*c.
2*c*(c - 1)**2*(c + 5)/15
Let c(n) be the second derivative of n**5/20 + 11*n**4/12 - 2*n**3 + 2*n - 19. Factor c(d).
d*(d - 1)*(d + 12)
Let k(z) = 10*z**4 + 160*z**3 + 1415*z**2 - 1985*z - 3240. Let w(s) = -s**4 + 3*s**3 + 3*s**2 + s. Let y(l) = k(l) + 5*w(l). Find u such that y(u) = 0.
-18, -1, 2
Let h(o) = -o**2 + 3*o + 2. Let v be 6/(-2 - (-8)/2). Let y be h(v). Find m such that -3*m**4 - 4*m**5 + 11*m**4 + 3*m**2 + 4*m - 11*m**y = 0.
-1, 0, 1
Let z be ((-123)/820)/((-9)/15). Suppose -z*v**2 - 4*v - 16 = 0. Calculate v.
-8
Let q(v) be the first derivative of 12*v**5 - 287*v**4 + 152*v**3/3 + 176. Factor q(m).
4*m**2*(m - 19)*(15*m - 2)
Suppose -20*l + 25*l - 30 = 0. Suppose -w = -l*w. Suppose 1/2*u**2 + 0 + w*u - 1/4*u**3 = 0. Calculate u.
0, 2
Suppose 3*n = -4*g - 1, -3*g + 5 = n - 3. Let q be (-804)/(-168) + 2/n. Find z, given that 3/4*z**2 + 12 + 3/4*z**4 - q*z**3 + 18*z = 0.
-1, 4
Let h(f) be the second derivative of -f**5/240 + 9*f**2/2 + 3*f. Let i(o) be the first derivative of h(o). Solve i(l) = 0 for l.
0
Factor -6 + 1/2*h**2 - 2*h.
(h - 6)*(h + 2)/2
Let f(p) be the third derivative of 2*p**7/105 - 16*p**6/15 + 286*p**5/15 - 80*p**4 + 150*p**3 - 58*p**2. Suppose f(g) = 0. Calculate g.
1, 15
Let p(a) be the third derivative of -1/40*a**6 + 0*a - 17/60*a**5 - 3*a**2 + 0*a**3 - 5/12*a**4 + 0. Solve p(l) = 0.
-5, -2/3, 0
Let t be 2/2 + (2 - 0)/(-2). Determine n, given that -30*n + n**2 + 35*n + 4 + t = 0.
-4, -1
Let k(t) = t**2 - t + 1. Let m(x) = 5*x. Let d be m(-1). Let y(w) = -3*w**2. Let s(n) = d*y(n) - 20*k(n). Factor s(v).
-5*(v - 2)**2
Let h(c) be the first derivative of -5*c**6/3 - 14*c**5/5 + 3*c**4/2 + 14*c**3/3 + 2*c**2 - 150. What is n in h(n) = 0?
-1, -2/5, 0, 1
Let l(j) be the third derivative of j**6/720 + j**5/24 + 7*j**4/16 + 49*j**3/36 - 4*j**2 + j. Let l(z) = 0. Calculate z.
-7, -1
Let f(i) be the second derivative of i**5/120 - 23*i**2/2 - 23*i. Let n(v) be the first derivative of f(v). Factor n(z).
z**2/2
Let b(s) be the second derivative of s**4/48 - 79*s**3/12 + 6241*s**2/8 - 193*s. Solve b(k) = 0 for k.
79
Let x be -6*(39/18)/(-13). Let p be (-24)/(10 + -4)*x/(-2). Let 8/9 + 0*y + 2/9*y**3 - 2/3*y**p = 0. Calculate y.
-1, 2
Let k = 886 + -886. What is n in -15/2*n**4 + 45/2*n**2 - 5*n**3 + k*n - 10 = 0?
-2, -2/3, 1
Let g(p) be the second derivative of -p**6/300 - p**5/200 + 5*p**3/3 + p. Let u(o) be the second derivative of g(o). Factor u(s).
-3*s*(2*s + 1)/5
Let f(g) be the third derivative of 15*g**2 + 0*g - 1/120*g**5 + 0 - 1/24*g**4 - 1/12*g**3. Solve f(w) = 0.
-1
Let f(i) be the second derivative of i**4/54 + 56*i**3/9 + 784*i**2 - 152*i. Factor f(m).
2*(m + 84)**2/9
Suppose -3*p = -10 + 1. Let f(m) be the second derivative of 1/2*m**4 + 1/2*m**p + 0 - m + 0*m**2 + 3/20*m**5. Factor f(z).
3*z*(z + 1)**2
Let w(l) be the first derivative of -l**5/210 + 5*l**4/168 - l**3/14 + 17*l**2/2 - 9. Let d(m) be the second derivative of w(m). Find n such that d(n) = 0.
1, 3/2
Factor 1/5*a**2 - 8/5 - 2/5*a.
(a - 4)*(a + 2)/5
What is p in -32/3*p**5 + 2/3 - 16*p**4 + 6*p + 14/3*p**3 + 46/3*p**2 = 0?
-1, -1/4, 1
Suppose 31*d - 40*d = 72. Let v be (-2)/(-8) + 2/d. Factor v*s - 3/4*s**3 + 0 + 3/4*s**4 - 3/2*s**2.
3*s**2*(s - 2)*(s + 1)/4
Let s(j) = -j**3 + 9*j**2 + 2*j - 15. Let h be s(9). Determine l, given that -2*l - 3*l**2 + 2*l**3 - l**h + 62*l**4 - 59*l**4 + l**5 = 0.
-2, -1, 0, 1
Let q = 0 + 0. Suppose -22 = -5*n + 6*g, -3*g + 38 - 34 = 5*n. Let 3*l**n - 3/2*l**4 + 0 - 3/2*l**3 + q*l = 0. What is l?
-2, 0, 1
Let z be -5 - 1 - (-488)/61. Suppose -1/6*l - 1/6*l**5 + 0 + 1/3*l**3 + 0*l**z + 0*l**4 = 0. What is l?
-1, 0, 1
Let d(w) = -w**2 - 113*w + 135. Let m(z) = -75*z + 90. Let t(g) = 5*d(g) - 7*m(g). What is o in t(o) = 0?
-9, 1
Let b(f) be the first derivative of -f**4/2 + 2*f**3 - 3*f**2 + 2*f + 15. Let b(y) = 0. Calculate y.
1
Let u = -8 + 12. Factor 15*p**3 - 8*p**3 - u*p**2 + 5*p**2.
p**2*(7*p + 1)
Let q(g) be the first derivative of g**6/6 - g**5/5 - 12*g**4 - 184*g**3/3 - 136*g**2 - 144*g - 74. Suppose q(c) = 0. What is c?
-2, 9
Factor -6 - 2*z**2 + z**2 - 22 - 28*z + 1.
-(z + 1)*(z + 27)
Let n(t) = -15*t**2 - 180*t - 24. Let p(r) = -10*r**2 - 120*r - 15. Let q(w) = -5*n(w) + 8*p(w). Factor q(m).
-5*m*(m + 12)
Let t(s) be the second derivative of -s**4/10 + 8*s**3/5 - 36*s**2/5 + 81*s. Find m, given that t(m) = 0.
2, 6
Let q(p) be the third derivative of p**6/300 + p**5/25 + 2*p**4/15 - p**2 + 12*p. What is h in q(h) = 0?
-4, -2, 0
Suppose -3*o - 6 = -2*o. Let y be (-1)/(-2)*o + 5. Factor 8/7 + 34/7*b**y - 10/7*b**3 - 32/7*b.
-2*(b - 2)*(b - 1)*(5*b - 2)/7
Let p be 6/10 + 5/250*10. Let b(g) be the first derivative of 3 - g**2 + 0*g**3 + 0*g + p*g**5 + 3/2*g**4. Let b(k) = 0. What is k?
-1, 0, 1/2
What is h in 10/7*h + 18/7*h**2 + 6/7*h**3 - 2/7*h**4 + 0 = 0?
-1, 0, 5
Let h(g) be the second derivative of -g**9/6048 + g**8/3360 + g**7/840 - 5*g**3/2 - 12*g. Let z(j) be the second derivative of h(j). Factor z(t).
-t**3*(t - 2)*(t + 1)/2
Let l(m) be the first derivative of -m**5/50 - m**4/15 - m**3/15 + 11*m + 4. Let r(t) be the first derivative of l(t). Factor r(u).
-2*u*(u + 1)**2/5
Let z(w) be the first derivative of w**6/420 - w**5/70 + w**4/28 - w**3/21 + 5*w**2 - 8. Let j(h) be the second derivative of z(h). Factor j(t).
2*(t - 1)**3/7
Suppose 34*l = 109*l. Let w be (2 + (-1 - 1))/(-2). Let l + 4/7*q**4 + w*q**2 - 4/7*q**3 + 0*q = 0. What is q?
0, 1
Factor -8/7*v**2 + 1/7*v**3 + 11/7*v + 20/7.
(v - 5)*(v - 4)*(v + 1)/7
Let x(i) be the third derivative of i**6/810 - 11*i**5/540 - i**4/18 - 13*i**3/6 - 10*i**2. Let p(j) be the first derivative of 