 1)/3
Suppose -9 + 11/2*s - 1/2*s**2 = 0. Calculate s.
2, 9
Suppose -t - 156 = -14*t. Suppose 26*s = 23*s + t. Factor f**3 + 0*f + 0 + 1/2*f**s + 0*f**2.
f**3*(f + 2)/2
Let k be (0 + 20/15)/((-4)/(-6)). Let r be ((-148)/111)/(k/(-3)). Solve -7/3*j - 2/3*j**r - 1 = 0.
-3, -1/2
Let j = -58 + 58. Let m(i) be the second derivative of 0*i**2 + 0 + j*i**3 - 1/10*i**5 + 1/15*i**6 - 4*i - 1/6*i**4 + 1/21*i**7. Factor m(c).
2*c**2*(c - 1)*(c + 1)**2
Factor -12*g - 198 - 2/11*g**2.
-2*(g + 33)**2/11
Let x(s) = -s**4 - s**3 - s**2 + s - 1. Let m(h) = 3*h**5 - 12*h**4 - 21*h**3 - 18*h**2 + 12*h - 12. Let t(w) = m(w) - 12*x(w). Solve t(o) = 0 for o.
-1, 0, 2
Let a(p) be the second derivative of p**4/36 + 71*p**3/18 + 23*p**2 - p - 29. Determine g so that a(g) = 0.
-69, -2
Let o(p) be the first derivative of 0*p - 1/15*p**5 + 0*p**3 - 1/6*p**4 - 7/2*p**2 - 8. Let u(x) be the second derivative of o(x). Let u(t) = 0. What is t?
-1, 0
Let o be 0 - (0 - (1 - 1)). Suppose -9 = -3*t - o. Factor 0*c**t - 2*c - 8*c**4 - 8*c**2 - 6*c**3 - 2*c**5 - 6*c**3.
-2*c*(c + 1)**4
Let p(q) be the second derivative of -289*q**5/70 + 782*q**4/7 - 52*q**3 + 64*q**2/7 - q - 90. Determine c, given that p(c) = 0.
2/17, 16
Let z(h) = -h**2 - 6*h + 3. Let d be z(-6). Suppose 0*n - 2*n + 5*o = -13, -d*n + 4*o = -16. Let -u + 2*u + n*u**2 - 8*u - u = 0. Calculate u.
0, 2
Let k(s) be the second derivative of 3*s + 4/9*s**4 + 0*s**3 + 0*s**2 + 0*s**5 - 2/15*s**6 - 2/63*s**7 - 9. Find h, given that k(h) = 0.
-2, 0, 1
Suppose 5*q - 2 = 23, -4*q + 20 = p. Let s(r) be the second derivative of p - 3*r - 3/14*r**4 + 1/3*r**3 - 1/105*r**6 - 2/7*r**2 + 1/14*r**5. Factor s(i).
-2*(i - 2)*(i - 1)**3/7
Let j(y) = y**3 + 10*y**2 + 13*y - 19. Let v be j(-8). What is x in -50*x**3 - 455*x**2 - 45*x**v - 436*x**3 + 59*x**2 - 18 - 258*x**4 - 141*x = 0?
-3, -1, -2/5, -1/3
Let u(d) be the first derivative of d**4/18 + 10*d**3/27 + 2*d**2/3 - 344. Factor u(w).
2*w*(w + 2)*(w + 3)/9
Factor 1/3*t**3 + 1944000 + 32400*t + 180*t**2.
(t + 180)**3/3
Suppose 7*v + 39 = 4*t - 3*t, -3*t - 5*v - 13 = 0. Let c(w) be the second derivative of 0 + 0*w**2 - 1/6*w**t + 2/15*w**3 - 8*w. Let c(h) = 0. What is h?
0, 2/5
Let q = 9 - 9. Suppose -2*f - 4*j + 2 = -0*f, 4*j + 4 = q. Suppose 69*s**3 - 207*s**2 - 137*s**3 - 12 - 84*s - 80*s**f - 62*s**3 - 75*s**4 = 0. What is s?
-1, -2/5
Suppose z = -4*q - q + 33, 0 = 2*q + 4*z - 24. Suppose -11*u + 40 = -q*u. Determine t so that -t**2 + 4 - 5*t**2 + 10*t**2 - u*t = 0.
1
Factor -16 - 11 + 21 + 3*s**2 - 4*s + s.
3*(s - 2)*(s + 1)
Factor -32*g**3 + 61*g**3 + 37*g**2 - 10*g**2 - 24*g - 32*g**3.
-3*g*(g - 8)*(g - 1)
Factor -17*s + 3*s - 19*s**2 + 8*s + 58*s**3 - 36*s**2 + 3*s.
s*(s - 1)*(58*s + 3)
Let m be (-7)/(147/(-56)) + -2. Let s(w) be the first derivative of m*w**6 - 8 + 0*w**4 + 8/5*w**5 + 0*w**3 + 0*w + 0*w**2. Suppose s(t) = 0. Calculate t.
-2, 0
Let p(v) = -3*v**3 + 3*v**2 - 5*v + 5. Let i(r) be the first derivative of -5 - 4*r**2 + 8*r + 4/3*r**3 - r**4. Let h(x) = 5*i(x) - 8*p(x). Factor h(o).
4*o**2*(o - 1)
Factor 2/3*h**2 + 2/3*h**3 - 6 - 6*h.
2*(h - 3)*(h + 1)*(h + 3)/3
Let s(i) be the second derivative of 2/3*i**4 - 4*i**2 - 4*i + i**5 - 10/3*i**3 + 0. Find x such that s(x) = 0.
-1, -2/5, 1
Let q(r) be the second derivative of 8*r**4/9 + 17*r**3/9 + r**2/3 + 125*r. Factor q(t).
2*(t + 1)*(16*t + 1)/3
Let w be -385 + -14 - (0/1 - -1). Let t = w + 1216/3. Factor -t*p - 8/3 - 2/3*p**3 - 10/3*p**2.
-2*(p + 1)*(p + 2)**2/3
Let u(c) be the first derivative of -32 - 5/4*c**2 + 3*c - 1/6*c**3. Factor u(a).
-(a - 1)*(a + 6)/2
Let 461*u**2 + 694*u**2 + 540 + 1800*u - 315*u**3 - 247*u**3 - 43*u**3 = 0. Calculate u.
-6/11, 3
Let j = -187 - -936/5. Let i(l) be the first derivative of 0*l**3 + 0*l + 1 + 0*l**2 - 1/3*l**6 - j*l**5 + 1/4*l**4. Let i(q) = 0. What is q?
-1, 0, 1/2
Let k be (3 - 7)*(0 - 1). Let b(q) be the first derivative of -k - 1/4*q**2 + 0*q + 1/6*q**3. Determine z, given that b(z) = 0.
0, 1
Let m(y) be the first derivative of 0*y**3 - 4/45*y**6 + 1/10*y**5 + 1/18*y**4 + 6 - 2*y + 0*y**2. Let b(o) be the first derivative of m(o). Factor b(h).
-2*h**2*(h - 1)*(4*h + 1)/3
Let n(z) be the first derivative of -18*z**5/35 + 10*z**4/7 + 46*z**3/21 - 6*z**2/7 + 309. Suppose n(r) = 0. What is r?
-1, 0, 2/9, 3
Let x(f) be the first derivative of 5*f**3/3 + 235*f**2 + 11045*f + 295. Find k, given that x(k) = 0.
-47
Let z(v) be the first derivative of -1 - 1/15*v**3 - 4/5*v - 2/5*v**2. Determine h, given that z(h) = 0.
-2
Find n such that -234*n + 486*n - 4*n**3 + n**2 - 83*n**2 - 2*n**3 - 224*n = 0.
-14, 0, 1/3
Let k(s) be the second derivative of s**7/14 - 4*s**6/5 - 3*s**5/10 + 13*s**4 + 73*s**3/2 + 42*s**2 - 3*s + 156. Suppose k(u) = 0. What is u?
-1, 4, 7
Let l = 458 + -446. Let g(r) be the first derivative of r**2 + 3/4*r**4 - 1/2*r - l + 11/6*r**3. Factor g(o).
(o + 1)**2*(6*o - 1)/2
Let u(p) be the third derivative of 0*p + 1/108*p**4 + 0 + 0*p**3 + 1/270*p**5 + 24*p**2. Suppose u(r) = 0. What is r?
-1, 0
Let g(t) be the third derivative of -1/3*t**4 - 1/30*t**5 + 0 - 11*t**2 + 0*t - t**3. Factor g(s).
-2*(s + 1)*(s + 3)
Let d(v) = 36 + 39*v**2 - 8*v - 16*v**2 - 24*v**2. Let s be d(-11). Factor 0 + 0*i + 0*i**2 - 2/7*i**s.
-2*i**3/7
Suppose d = 4*i - 3, 2*i + 65*d = 59*d + 34. Factor -3/5*y**4 - 1152/5*y**i + 6144/5*y + 96/5*y**3 - 12288/5.
-3*(y - 8)**4/5
Let m be 2/(-21)*15*(330/(-20) - -16). Find z such that 0 - 2/7*z**4 + m*z**5 + 2/7*z**2 + 0*z - 5/7*z**3 = 0.
-1, 0, 2/5, 1
Let r(y) be the first derivative of 5*y**4/12 + 5*y**3/3 - 5*y**2/6 - 5*y - 70. Factor r(f).
5*(f - 1)*(f + 1)*(f + 3)/3
Suppose 0 = s + 2*m + 6, -2*s + 1 - 7 = 2*m. Let o(d) be the second derivative of 1/140*d**5 + 0*d**2 - 1/84*d**4 + s - 3*d - 1/21*d**3. Factor o(v).
v*(v - 2)*(v + 1)/7
Let x be 6/15*40/4. Let j = x - 0. Find y, given that -5*y - j*y**2 + 36*y**3 + 2*y**4 + y - 33*y**3 - y**5 = 0.
-1, 0, 2
Let s be 9*(4 + 1 + (2 - 0)). Let d be ((-56)/s - -1)/((-1)/(-3)). Find a such that d*a**4 + 0*a**2 + 0*a + 0 - 1/3*a**3 = 0.
0, 1
Let -24/11*n**2 + 0 + 2/11*n**4 + 0*n**3 + 32/11*n = 0. Calculate n.
-4, 0, 2
Let w(m) be the third derivative of -m**5/90 - 7*m**4/36 - 2*m**3/3 - 71*m**2. Factor w(g).
-2*(g + 1)*(g + 6)/3
Let n(s) be the third derivative of 0*s - 5*s**2 + 1/30*s**5 + 1/3*s**4 + 4/3*s**3 + 0. Factor n(t).
2*(t + 2)**2
What is i in 9*i**4 - 3*i**4 + 20*i - 34*i**2 - 7 - 8*i**4 + 7 + 16*i**3 = 0?
0, 1, 2, 5
Let s(f) be the third derivative of f**6/840 + 37*f**5/420 - 11*f**4/24 + 13*f**3/14 + 36*f**2 + 6. What is a in s(a) = 0?
-39, 1
What is h in -30/7 + 33/7*h - 3/7*h**2 = 0?
1, 10
Let v(o) = o**3 - 29*o**2 + 8*o + 563. Let j be v(28). Factor 0*n**2 + 2/17*n**j + 2/17*n**5 + 0*n - 4/17*n**4 + 0.
2*n**3*(n - 1)**2/17
Let u = 66 - -14. Let t = -78 + u. Factor 0*f**t + 2/5*f**3 + 0*f + 0.
2*f**3/5
Let u(h) be the first derivative of -28*h**3/3 + 10*h**2 + 80. Determine b, given that u(b) = 0.
0, 5/7
Suppose -8*w + 18 + 6 = 0. Find z, given that w*z**2 + 4*z**3 + 14 - 4*z + 5*z**2 - 22 = 0.
-2, -1, 1
Suppose 55*p - 170*p - 10 + 72*p + 5*p**2 + 4*p**2 = 0. What is p?
-2/9, 5
Let h be -6 + (95/1995)/((-1)/(-132)). Factor 2/7*y - 2/7*y**2 + 2/7 - h*y**3.
-2*(y - 1)*(y + 1)**2/7
Let 31*o**2 - 21*o**3 - 14*o**2 + 5*o**3 + 9*o**2 - 12*o**3 + 2*o**4 = 0. What is o?
0, 1, 13
Let u be (22 - (-234)/(-13))/3. Let t(s) = -s**2 - 5*s - 4. Let g be t(-3). Factor -2/3*a**5 + 2*a - u*a**3 + g*a**4 - 2/3 - 4/3*a**2.
-2*(a - 1)**4*(a + 1)/3
Let r(t) be the first derivative of t**4/18 - 10*t**3/27 - 13*t**2/9 - 14*t/9 - 451. Factor r(c).
2*(c - 7)*(c + 1)**2/9
Let q(t) = t**3 - 2*t**2 - 1. Let a be q(3). Suppose 0 = -6*h + 2*h + a. Suppose -8*l - 7*l**3 + 4*l**4 - 8*l**3 + 20*l**h + 2*l**3 - 3*l**3 = 0. Calculate l.
0, 1, 2
Let o(x) = -142*x - 1844. Let v be o(-13). Let s be 1 + (2/(-5))/(-2). Factor -9/5*i + 3/5*i**3 - s + 0*i**v.
3*(i - 2)*(i + 1)**2/5
Let s(c) = -c**4 + 17*c**3 - 15*c**2 - 5*c + 4. Let j(q) = 2*q**4 - 19*q**3 + 15*q**2 + 4*q - 2. Let m(r) = 4*j(r) + 5*s(r). Factor m(u).
3*(u - 1)**2*(u + 1)*(u + 4)
Let z(d) be the second derivative of -d**8/3360 - d**7/315 - d**6/72 - d**5/30 + 19*d**4/12 + 4*d. Let g(v) be the third derivative of z(v). Factor g(r).
-2*(r + 1)**2*(r + 2)
Let 