or -16/7*h**3 + 0*h + 0 + 0*h**2 + 0*h**y + 4/7*h**5.
4*h**3*(h - 2)*(h + 2)/7
Let f be ((-15)/25)/((-6)/(-16)*48/(-20)). Factor f*u**2 + 0 - 1/3*u - 1/3*u**3.
-u*(u - 1)**2/3
Let o(j) be the first derivative of j**7/1260 - j**5/180 + 11*j**3/3 - 14. Let c(w) be the third derivative of o(w). Factor c(t).
2*t*(t - 1)*(t + 1)/3
Let 58/5*c**3 - 46/5*c**4 + 24/5 + 22/5*c**2 + 6/5*c**5 - 64/5*c = 0. What is c?
-1, 2/3, 1, 6
Let z(g) be the first derivative of -11 - 32*g**6 - 345*g**4 - 78*g**2 - 912/5*g**5 - 241*g**3 - 12*g. Factor z(h).
-3*(h + 2)**2*(4*h + 1)**3
Let v(m) = -2*m**3 + 63*m**2 + 138*m + 70. Let o(i) = -5*i**3 + 124*i**2 + 277*i + 141. Let n(h) = 6*o(h) - 14*v(h). Factor n(a).
-2*(a + 1)**2*(a + 67)
Let t(f) be the third derivative of f**6/1320 + 9*f**5/220 + 65*f**4/88 + 169*f**3/66 - f**2 + 209*f. Factor t(w).
(w + 1)*(w + 13)**2/11
Let r(f) = 4*f + 2*f**2 - 5*f**3 - 8 + f**2 + 0*f. Let a(i) = i + 12 - 13 - i**3 + 0*i**3. Let x(v) = -4*a(v) + r(v). Factor x(u).
-(u - 2)**2*(u + 1)
Let b be 6/33 + (-84)/(-22). Suppose -2*p - 2 = -2*o, -b*p = -0*p + 5*o - 32. Factor -6/7*d - 2/7*d**p + 18/7 - 10/7*d**2.
-2*(d - 1)*(d + 3)**2/7
Let h(s) be the third derivative of -1936*s**6/105 + 264*s**5/7 - 59*s**4/28 + s**3/21 - 71*s**2. Factor h(g).
-2*(g - 1)*(88*g - 1)**2/7
Factor 7500/7 + 27/7*q**2 - 900/7*q.
3*(3*q - 50)**2/7
Factor 18/13 - 12/13*p + 2/13*p**2.
2*(p - 3)**2/13
Suppose -189 + 177 = -6*q. Let d(h) be the third derivative of -1/51*h**3 + 0 + 0*h + 8*h**q - 1/68*h**4 - 1/170*h**5 - 1/1020*h**6. Solve d(g) = 0 for g.
-1
Suppose -4*x + 6*x - n = 33, -4*n - 12 = 0. Suppose 0 = -p - r + 5, -8*p - 3*r = -13*p - x. Factor -1/2*u**3 + p + 0*u - 1/2*u**2.
-u**2*(u + 1)/2
Let m be 362/13 + (-18)/(-117). Let f(l) = 2*l - 50. Let r be f(m). Factor r*u**2 - 33/8*u + 3/4 - 21/8*u**3.
-3*(u - 1)**2*(7*u - 2)/8
Let l(d) be the third derivative of d**7/140 - 11*d**6/80 + 9*d**5/8 - 81*d**4/16 + 27*d**3/2 + 812*d**2. Factor l(k).
3*(k - 3)**3*(k - 2)/2
Let t(f) be the second derivative of f**6/75 - 97*f**5/200 + 5*f**4 - 12*f**3/5 - 6*f - 1. What is s in t(s) = 0?
0, 1/4, 12
Let 9/7*h**2 - 12/7*h**3 + 27/7*h + 6/7 = 0. What is h?
-1, -1/4, 2
Factor -2/3*f**2 - 40898/3 - 572/3*f.
-2*(f + 143)**2/3
Let s(u) be the second derivative of -u**5/10 - 7*u**4/2 - 71*u**3/3 - 51*u**2 - 217*u. Factor s(b).
-2*(b + 1)*(b + 3)*(b + 17)
Let a be 9/5*182/273. Factor 6/5*z**3 - a*z + 6/5 - 6/5*z**2.
6*(z - 1)**2*(z + 1)/5
Let b = -569 + 574. Let d(y) be the third derivative of -y**2 - 1/9*y**3 + 1/30*y**b + 0*y + 0 + 1/18*y**4. Factor d(h).
2*(h + 1)*(3*h - 1)/3
Let n(i) = -4*i. Let x be n(-2). Let h = x - 5. Find z such that -3*z**2 - 2*z**h + 6*z + 3*z**2 + 4 = 0.
-1, 2
Suppose 5*k = 3*l + 4*k - 54, 2*k - 44 = -2*l. Factor -27*c + 3*c**2 + 43*c + 0*c**2 - l*c.
3*c*(c - 1)
Let g = -54 - -56. Find k, given that 8*k - 2*k + 4*k**g - 4*k - 3*k**2 = 0.
-2, 0
Factor 2/7*f**3 - 30/7*f**2 - 66/7*f - 34/7.
2*(f - 17)*(f + 1)**2/7
Factor -16*s**2 + 26*s**2 + 75 - 7*s**2 - 30*s.
3*(s - 5)**2
Let t(q) be the third derivative of -q**6/120 + 11*q**5/60 + q**4/24 - 11*q**3/6 - 69*q**2. Find a such that t(a) = 0.
-1, 1, 11
Let r(p) be the third derivative of 1/120*p**6 + 0 - 1/60*p**5 + 0*p**3 + 0*p**4 - 5*p**2 + 0*p. Suppose r(j) = 0. What is j?
0, 1
Let t(b) = 3*b**2 - b - 2. Let z(q) = 11*q**2 - 4*q - 8. Let s(y) = 21*y**2 - 8*y - 16. Let a(o) = -2*s(o) + 5*z(o). Let r(k) = -4*a(k) + 18*t(k). Factor r(f).
2*(f - 2)*(f + 1)
Let q(i) be the second derivative of 3*i**4/8 + 11*i**3/4 + 9*i. Factor q(c).
3*c*(3*c + 11)/2
Let p(q) be the first derivative of -q**6/105 - q**5/70 + q**4/42 + q**3/21 + 4*q + 13. Let n(f) be the first derivative of p(f). Find v, given that n(v) = 0.
-1, 0, 1
Let c be (-2 - 5) + 4 + 5. Let u = 34 - c. Solve 4*l**2 + u*l - 32*l = 0.
0
Let f = -514 + 519. Let u(j) be the first derivative of 0*j + 1/12*j**3 - 4 + 1/4*j**4 - 1/4*j**2 - 3/20*j**f. Factor u(b).
-b*(b - 1)**2*(3*b + 2)/4
Factor 1/5*w**3 + 1/5*w**4 - 2/5*w**2 + 0*w + 0.
w**2*(w - 1)*(w + 2)/5
Let d = -76 + 136. Determine v, given that 260 - 86 + 142 + 3*v**2 - 16 - d*v = 0.
10
Let v(s) be the first derivative of -4*s**3/3 + 24*s**2 + 112*s - 586. Factor v(k).
-4*(k - 14)*(k + 2)
Let h be (9/2)/((-18)/(-24)). Let u(k) be the second derivative of -3/40*k**5 + 0*k**2 + 0 - 1/60*k**h + 0*k**4 + 1/3*k**3 - 2*k. What is n in u(n) = 0?
-2, 0, 1
Let b = 8791 + -8791. Factor -8/5*j + 4/5*j**2 + b.
4*j*(j - 2)/5
Factor 430 + 87*y**3 - 430 - 3*y**3 + 96*y**2 + 16*y - 74*y**4 - 122*y**4.
-4*y*(y - 1)*(7*y + 2)**2
Factor 11/2*h - 1/2*h**3 - 6 + h**2.
-(h - 4)*(h - 1)*(h + 3)/2
Let f(i) be the second derivative of -10*i - 19/3*i**4 - 22/3*i**3 - 2/5*i**6 - 13/5*i**5 - 4*i**2 + 0. Suppose f(n) = 0. Calculate n.
-2, -1, -1/3
Factor -1/2*w - 1/2 + 3*w**2.
(2*w - 1)*(3*w + 1)/2
Factor -216388*k**3 + 1045*k**4 - 1496104020*k - 284214*k**3 + 154642*k**3 - 11241624159 - 32174280*k**2 - 2905*k**4 - 4*k**5 - 16585910613.
-4*(k + 93)**5
Factor 120*t**2 - 261*t**4 + 126*t**4 + 130*t**4 + 13*t**3 + 140*t + 2*t**3.
-5*t*(t - 7)*(t + 2)**2
Let k = -110 - -114. Let -49*n**5 - 32*n - 54*n**k - 264*n**3 - 176*n**2 - 94*n**4 + 21*n**5 = 0. What is n?
-2, -1, -2/7, 0
Let y(c) = 42 + 9*c - 4*c + 38 + 8*c. Let f be y(-6). Let 0 - u - 1/4*u**f = 0. What is u?
-4, 0
Let f = -46 + 50. Factor 6 + 13 - 19 - 2*q**2 + f*q.
-2*q*(q - 2)
Solve 567*v**2 + 81*v**3 - 3/2*v**5 + 2673/2*v - 9/2*v**4 + 2187/2 = 0.
-3, 9
Let c(a) be the first derivative of 0*a + 4/3*a**3 - 3/2*a**2 - 1/4*a**4 - 4. Factor c(v).
-v*(v - 3)*(v - 1)
Let a = 127641/25 - 5105. Determine u, given that a*u - 24/25*u**2 - 4/25*u**3 + 6/25*u**4 + 0 = 0.
-2, 0, 2/3, 2
Let b(q) be the third derivative of q**9/540 + q**8/840 - q**7/90 - q**6/90 - 5*q**4/8 - 5*q**2. Let z(d) be the second derivative of b(d). Factor z(k).
4*k*(k - 1)*(k + 1)*(7*k + 2)
Factor 2*t**4 - 22/13*t**5 + 0*t**2 - 4/13*t**3 + 0*t + 0.
-2*t**3*(t - 1)*(11*t - 2)/13
Let j = 65 - 63. Factor 353*x**j - 353*x**2 + 5*x**3 - 5*x**4.
-5*x**3*(x - 1)
Let k(s) be the first derivative of 22 - 9*s**4 - 24/5*s**5 - 2/3*s**6 + 0*s + 0*s**3 + 0*s**2. Factor k(h).
-4*h**3*(h + 3)**2
Factor 9/2*t**3 - 21/2*t**2 + 12 - 3*t.
3*(t - 2)*(t + 1)*(3*t - 4)/2
Let q(f) = 24*f**4 - 64*f**3 + 47*f**2 - 7*f - 7. Let h(s) = -13*s**4 + 33*s**3 - 24*s**2 + 4*s + 4. Let n(t) = -7*h(t) - 4*q(t). Factor n(j).
-5*j**2*(j - 4)*(j - 1)
Let n = 298 + -295. Let f(b) be the third derivative of 1/330*b**5 + 2/33*b**n + 0*b - 1/44*b**4 - 8*b**2 + 0. Factor f(i).
2*(i - 2)*(i - 1)/11
Find h, given that h**4 + 7*h**4 + 45*h**3 - 5*h**4 = 0.
-15, 0
Let y(u) be the second derivative of -21*u + 0 + 1/30*u**3 + 0*u**2 + 1/12*u**4. Factor y(s).
s*(5*s + 1)/5
Let h(t) be the third derivative of 3*t**7/70 - t**6/8 - t**5/20 + 5*t**4/8 - t**3 - t**2 + 9. Solve h(k) = 0 for k.
-1, 2/3, 1
Let p be (18/50)/(-12*1/(-20)). Let j(b) be the first derivative of 0*b**2 + 1/3*b**3 + 0*b + p*b**5 - 5 + b**4. Let j(y) = 0. Calculate y.
-1, -1/3, 0
What is w in 9/4*w**2 + 0 - 2*w**3 - 1/4*w**4 + 0*w = 0?
-9, 0, 1
Let l(b) = 3*b + 52*b**2 + 3*b**3 - 6*b**4 - 52*b**2. Let h(a) = -a**5 - 6*a**4 + 2*a**3 + 2*a. Let g(w) = -3*h(w) + 2*l(w). Determine p, given that g(p) = 0.
-2, 0
Determine z, given that -4704 - 2/3*z**2 - 112*z = 0.
-84
Let i(p) = -7*p**3 - 2*p**2 - 3*p + 30. Let b(y) = 6*y**3 + 2*y**2 + 2*y - 25. Let x(v) = 6*b(v) + 5*i(v). Suppose x(q) = 0. Calculate q.
-3, 0, 1
Suppose 3*u = -l - 3, 3*u + 10*l = -u - 30. Determine m, given that 0 - 2/11*m**4 + u*m + 2/11*m**3 + 0*m**2 = 0.
0, 1
Let g = 744 - 744. Let z(f) be the second derivative of -3/5*f**5 + f**3 + g + 5/4*f**4 + 6*f - 3/10*f**6 + 0*f**2. Factor z(t).
-3*t*(t - 1)*(t + 2)*(3*t + 1)
Let -8/5*p + 2*p**4 + 2*p**3 + 8 - 10*p**2 - 2/5*p**5 = 0. What is p?
-2, -1, 1, 2, 5
Let f(j) be the third derivative of 0*j**3 + 0*j**4 + 0 + 0*j + 1/1155*j**7 + 1/165*j**5 - 1/220*j**6 + 10*j**2. Determine c so that f(c) = 0.
0, 1, 2
Let k(p) be the third derivative of 3*p**8/2240 + 11*p**7/840 - p**6/60 - 3*p**4/8 - 9*p**2. Let j(t) be the second derivative of k(t). Let j(a) = 0. What is a?
-4, 0, 1/3
Let o(i) be the first derivative of -i**7/3360 - i**6/720 + i**5/160 + 2*i**3 + 14. Let q(x) be the third deri