 + 1)/5
Let j be (43 + -37)*(-2)/(-15). Factor 0*a - j + 4/5*a**2.
4*(a - 1)*(a + 1)/5
Let d(q) = -18*q**3 + 315*q**2 - 57*q + 3. Let f(y) = 35*y**3 - 631*y**2 + 116*y - 5. Let i(j) = -5*d(j) - 3*f(j). Suppose i(c) = 0. What is c?
0, 1/5, 21
Let o(j) be the first derivative of -1/9*j**6 - 4/9*j**3 - 2/3*j - 1/3*j**4 + 15 + j**2 + 2/5*j**5. Factor o(g).
-2*(g - 1)**4*(g + 1)/3
What is q in 143/9*q + 169/9 - 25/9*q**2 + 1/9*q**3 = 0?
-1, 13
Let t = 1267/2 + -633. Factor 0*u - 1/2*u**2 + t.
-(u - 1)*(u + 1)/2
Let o = -471/4 - -118. Let v(c) be the first derivative of 1/3*c**3 - o*c**4 - c + 1/2*c**2 - 5. Factor v(p).
-(p - 1)**2*(p + 1)
Let l(t) = -7*t**3 + 3*t**2 + 2*t + 2. Let i(m) = 11*m**3 - 5*m**2 - 3*m - 3. Let j = -11 + 6. Let h(k) = j*i(k) - 8*l(k). Find a, given that h(a) = 0.
-1, 1
Let i(u) be the first derivative of 5*u**6/6 + 3*u**5 - 65*u**4/4 - 235*u**3/3 - 120*u**2 - 80*u + 27. Solve i(w) = 0.
-4, -1, 4
Factor 0 + 4/5*d**2 - 2/5*d**3 - 2/5*d.
-2*d*(d - 1)**2/5
Let x = -366 + 370. Let r(d) be the third derivative of 0*d**x + 1/200*d**6 + 6*d**2 + 1/560*d**8 + 0*d + 1/175*d**7 + 0*d**5 + 0*d**3 + 0. Factor r(k).
3*k**3*(k + 1)**2/5
Let d = -1711 + 1714. Determine f so that -3/4*f**2 + 3*f - d = 0.
2
Let z = -309 - -309. Let b(h) be the second derivative of 0 - 1/75*h**6 - 3/10*h**4 + 0*h**2 + 3/25*h**5 + 2*h + z*h**3. Factor b(v).
-2*v**2*(v - 3)**2/5
Let i be 7/2 - 1/2. Let d(j) be the third derivative of 0*j**5 + 0*j + 10*j**2 + 0*j**4 + 1/480*j**6 + 0*j**i + 0. Suppose d(p) = 0. Calculate p.
0
Determine j, given that 153*j**5 + 153*j**5 - 18*j**4 - 36*j + 84*j**2 + 23*j**3 - 311*j**5 = 0.
-3, 0, 2/5, 2
Let c(u) be the first derivative of -17 + 0*u - 2/65*u**5 + 0*u**2 - 1/26*u**4 + 0*u**3. Factor c(z).
-2*z**3*(z + 1)/13
Factor x**3 - 37*x - 5*x**2 + 9*x**3 + 77*x - 28*x**2 - x**4 - 16.
-(x - 4)**2*(x - 1)**2
Let w(q) = -q - 1. Let b be w(-4). Let c be 5/2*(-3 + 69/15). Find x such that 6*x**2 - x**c + 1 + 2*x**4 - 3*x**3 - x**3 - x - b*x = 0.
1
Let f(l) be the second derivative of -1/10*l**5 + 0 - 1/90*l**6 - 11/18*l**3 + 7/18*l**4 + 1/2*l**2 + 1/126*l**7 - 29*l. Solve f(j) = 0 for j.
-3, 1
Suppose -32 = -3*z - 8. Factor -20 + 0*y**3 + 5*y**3 - 28*y - y**3 + 4 - z*y**2.
4*(y - 4)*(y + 1)**2
Let x be (-10 + 5)*21/70*-1. Let 3/2*p**2 + 1/2*p**3 + x*p + 1/2 = 0. Calculate p.
-1
Suppose 0 = -5*l + 3*k - 4*k + 14, k + 16 = 5*l. Factor 1/3*z**2 + l - 10/3*z.
(z - 9)*(z - 1)/3
Suppose 4*y - 5*u = 11 + 25, -2*y + 4 = u. Solve -357*n**3 + 321*n**3 + 26*n**2 - 2*n**2 + 18*n**y - 3*n**5 = 0 for n.
0, 2
Factor -61/3*z**3 - 1/3*z**4 - 119/3*z**2 + 0 - 59/3*z.
-z*(z + 1)**2*(z + 59)/3
Let p be 6/(-18) - 7/(-3). Suppose 14 = p*h - 2. Suppose -3 + 2*c**3 + 19*c - h + 11*c - 14*c**2 - 7 = 0. What is c?
1, 3
Let r(b) be the second derivative of -9*b**5/20 + b**4/2 + 7*b**3/2 + 3*b**2 - 79*b. Factor r(i).
-3*(i - 2)*(i + 1)*(3*i + 1)
Suppose 0 = -4*p + 3*o + 68, 10 - 46 = -2*p + o. Solve 4*f**5 + 36*f**3 - 12*f**3 - p*f**4 + 8*f**2 - 28*f + 237 - 225 = 0.
-1, 1, 3
Let w = -58 - -114. Let d = w - 28. Find b such that -4*b**5 - 8*b + d*b**2 - 20*b**3 + 0*b**5 - 35*b**3 + 20*b**4 + 19*b**3 = 0.
0, 1, 2
Let d = 1/321 - -316/1605. Factor d*u**2 + 3/5*u + 0.
u*(u + 3)/5
Suppose 0 = -5*z - 5, j + z = 4*j + 104. Let h be (-1)/(j/15 - -1). Factor -3/2*g + h*g**2 + 0.
3*g*(g - 2)/4
Factor -11/2*i**3 - 18*i**2 - 31/2*i - 4 + i**4.
(i - 8)*(i + 1)**2*(2*i + 1)/2
Suppose 3*t = 5*s - 47, t - 4*s = -0*t - 18. Let j = 14 + t. Factor 2/7*p**5 + j + 12/7*p**3 + 2/7*p + 8/7*p**2 + 8/7*p**4.
2*p*(p + 1)**4/7
Let l(v) be the third derivative of -v**7/735 + 3*v**6/70 - 8*v**5/21 - 3*v**4/14 + 27*v**3/7 - 142*v**2 - 2. Solve l(d) = 0 for d.
-1, 1, 9
Let c(b) be the first derivative of -2 + 0*b**3 - 5*b + 0*b**2 + 1/60*b**4. Let d(v) be the first derivative of c(v). Factor d(f).
f**2/5
What is i in -7*i**3 - i**3 + 113 + 7*i - 107 + 7*i**3 = 0?
-2, -1, 3
Let h be (2 - (-4)/(-2))*-1*1. Solve -8 + 112*y**2 + 60*y**3 - 15*y + h + 18*y + 41*y = 0 for y.
-1, 2/15
Let o(v) be the second derivative of v**6/600 - v**4/40 - 5*v**3/2 - 23*v. Let u(g) be the second derivative of o(g). Factor u(w).
3*(w - 1)*(w + 1)/5
Let -k**2 - 37/4*k - 9/4 = 0. Calculate k.
-9, -1/4
Factor 267/7*s**2 + 54/7*s**3 - 17/7*s - 10/7.
(s + 5)*(6*s + 1)*(9*s - 2)/7
Let q(h) be the second derivative of 3*h**5/4 - 3*h**4/4 - 5*h**3/2 + 9*h**2/2 + 200*h. Let q(v) = 0. What is v?
-1, 3/5, 1
Let f(s) be the third derivative of s**7/350 + 3*s**6/50 - 13*s**5/100 - 222*s**2. Factor f(n).
3*n**2*(n - 1)*(n + 13)/5
Let s = 12 + -12. Let f = s + 2. Factor -q**3 + 2*q**5 + 4*q**3 - q**5 - 2*q**3 - f*q**4.
q**3*(q - 1)**2
Let t(b) be the third derivative of -b**8/2240 + b**7/420 + 7*b**6/240 + b**5/10 + 25*b**4/12 + 4*b**2. Let y(w) be the second derivative of t(w). Factor y(j).
-3*(j - 4)*(j + 1)**2
Let n be ((-24)/(-10) - 2) + 16/10. Suppose q = -n*q + 6. Factor -4/5*s**q + 0 + 3/5*s**3 + 1/5*s.
s*(s - 1)*(3*s - 1)/5
Let j(a) be the first derivative of a**4 + 40*a**3/3 + 64*a**2 + 128*a - 136. Factor j(b).
4*(b + 2)*(b + 4)**2
Let x(d) be the second derivative of d**4/3 + 88*d**3/3 + 86*d**2 - 574*d. Factor x(z).
4*(z + 1)*(z + 43)
Let f(a) be the third derivative of -a**7/105 + 7*a**6/20 - 147*a**5/40 + 4*a**2 - 5. Determine r, given that f(r) = 0.
0, 21/2
Suppose -2 = 2*t - 6. Suppose 5*c + c - 5*c - c**t - 2*c**3 = 0. What is c?
-1, 0, 1/2
Let x be (-54)/15 + -2 + 6. Suppose -y - 5 = -8. Factor 6/5*s + x*s**y + 6/5*s**2 + 2/5.
2*(s + 1)**3/5
Find m such that -24/7 - 36450/7*m**2 - 1620/7*m - 273375/7*m**3 = 0.
-2/45
Let k(p) be the first derivative of 4*p**5/5 + 852*p**4 + 362952*p**3 + 77308776*p**2 + 8233384644*p + 611. Find b, given that k(b) = 0.
-213
Let d be (-3)/66*-11*0. Let h(v) be the third derivative of 0*v + d - 4*v**2 - 1/480*v**6 - 1/120*v**5 - 1/96*v**4 + 0*v**3. Factor h(s).
-s*(s + 1)**2/4
Let -4/7*j**2 - 24/7*j + 64/7 = 0. Calculate j.
-8, 2
Suppose 16*z - 12*z = 16. Suppose -4*b + 16 = -z*k, 6*k - 11 = -5*b + 2*k. What is x in -x + 0*x**4 + 2/3 - 1/3*x**5 + 4/3*x**b - 2/3*x**2 = 0?
-2, -1, 1
Let s(w) be the second derivative of 28*w - 1/6*w**3 - 1/24*w**4 + 0 - 1/4*w**2. What is b in s(b) = 0?
-1
Suppose 5*t - 19 = -2*x, -2*x - x = -2*t. Suppose 5*q + x*k - 11 = 1, 2*q = 4*k. Factor 0*b**2 + 3*b - 2*b - b**q + 2.
-(b - 2)*(b + 1)
Suppose -8 = -3*x - 2. Suppose -4*t - 28 = -2*k, 3*k + 2*t - 7 = -5. Factor 7*u**4 - x*u**3 - 4*u**4 - u**k.
2*u**3*(u - 1)
Let l(p) = -p**3 - 16*p**2 - 6. Let a be l(-16). Let i(s) = 5*s**2 + 31*s + 20. Let n(m) = -70*m**2 - 435*m - 280. Let x(t) = a*n(t) - 85*i(t). Factor x(f).
-5*(f + 1)*(f + 4)
Suppose 4 = 3*l - l. Suppose -2*s + 20 = -4*f, l*s + 0*f - 5*f = 24. Factor -3*j**s - 3*j + 0*j**2 + 2*j**2.
-j*(j + 3)
Let m(y) be the third derivative of -y**7/105 + 3*y**6/10 - 2*y**5 + 14*y**4/3 + 146*y**2. Solve m(o) = 0 for o.
0, 2, 14
Let y(p) = p**2 + 7*p - 16. Let s(g) = -g**2 + 2*g - 1. Let a(r) = -6*s(r) - 3*y(r). Factor a(m).
3*(m - 9)*(m - 2)
Let c be (894/(-63))/(71/(-18) + 4). Let z = 256 + c. Factor 0*o**3 + z*o**2 + 0 - 4/7*o**4 - 2/7*o + 2/7*o**5.
2*o*(o - 1)**3*(o + 1)/7
Let x = 598 - 592. Let w(y) be the second derivative of 1/9*y**3 + 1/6*y**5 + 0 - 8/27*y**4 + 7*y - 4/135*y**x + 2/9*y**2. What is p in w(p) = 0?
-1/4, 1, 2
Let f(d) be the third derivative of -2*d**7/105 + 4*d**6/15 - d**5 - 4*d**4/3 + 32*d**3/3 - d**2 - 3*d. Find z such that f(z) = 0.
-1, 1, 4
Let u(y) = 10*y**3 + 10*y**2. Let a(k) be the second derivative of -k**5/10 - k**4/6 + 34*k. Let z(i) = -14*a(i) - 3*u(i). Determine s, given that z(s) = 0.
-1, 0
Let g(n) be the second derivative of 0*n**3 - 30*n + 0*n**2 - 1/9*n**4 + 0 - 1/90*n**5. Solve g(c) = 0 for c.
-6, 0
Let x be (11/(-22))/(372/75 + -5). Determine m, given that -5 - 65/4*m - x*m**2 = 0.
-4/5, -1/2
Let f(v) be the first derivative of -v**4/4 - 7*v**3/3 - 11*v**2/2 - 5*v + 230. Find d such that f(d) = 0.
-5, -1
Factor 122/7*v - 204/7 - 10/7*v**2.
-2*(v - 2)*(5*v - 51)/7
Solve -6*x - 89*x**2 + 74*x**3 + 14*x + 14*x - x**2 - 6*x**4 = 0 for x.
0, 1/3, 1, 11
Let d(k) be the third derivative of 16/3*k**3 + 0*k + 2*k**2 + 1/30*k**5 - 2/3*k**4 + 0. Factor d(m).
2*(m - 4)**2
Determine g so that -17*g - 301 - 5*g**2 + 38*g + 10