/(-14 + 4). Solve l*u - 4/5 - 6/5*u**3 + 2/5*u**2 + 2/5*u**4 = 0 for u.
-1, 1, 2
Let c be (-1)/1*(-3 + 0). Suppose 2*a**2 + 0*a - 2*a**2 - 3*a**3 - 6*a**2 - c*a = 0. What is a?
-1, 0
Suppose -16*b + 1045 = -11*b. Factor d**5 + b*d**4 - 3*d**5 - 217*d**4 - 4*d**2 - 10*d**3.
-2*d**2*(d + 1)**2*(d + 2)
Let r(i) be the third derivative of i**6/24 + 7*i**5/12 + 25*i**4/8 + 15*i**3/2 - 11*i**2. What is j in r(j) = 0?
-3, -1
Let t(x) be the first derivative of -2/5*x - 2 - 2/15*x**3 - 2/5*x**2. What is i in t(i) = 0?
-1
Let w(q) be the second derivative of 1/8*q**3 + 4*q + 0 + 1/48*q**4 - 1/8*q**2 - 3/80*q**5. Factor w(l).
-(l - 1)*(l + 1)*(3*l - 1)/4
Let i = -4 - -7. Suppose 1 - 3 = -a. Determine b, given that 4*b**i - a*b + b - 3*b**3 = 0.
-1, 0, 1
Factor -5*o**2 - 12*o**3 + 6*o**2 + 7*o**2 + 4*o**5.
4*o**2*(o - 1)**2*(o + 2)
Let k(t) be the first derivative of t**4/12 + t**3/3 + t**2/2 + t/3 + 5. Factor k(y).
(y + 1)**3/3
Let s(w) = w**2. Let u(d) = -d**3 + d + 2. Let k(y) = 6*s(y) - 3*u(y). Factor k(m).
3*(m - 1)*(m + 1)*(m + 2)
Let w(l) be the second derivative of l**4/12 - l**3/6 - 4*l. Let q(f) = 6*f**2 - 21*f - 9. Let g(u) = q(u) + 3*w(u). Suppose g(z) = 0. What is z?
-1/3, 3
Let j(i) be the first derivative of -2/5*i - 2/15*i**3 - 2/5*i**2 - 1. What is d in j(d) = 0?
-1
Let c be ((-495)/(-1100))/(3/32). Factor c*w - 276/5*w**2 + 1029/5*w**5 + 1134/5*w**3 + 0 - 1911/5*w**4.
3*w*(w - 1)*(7*w - 2)**3/5
Let u(w) be the first derivative of 7*w**6/30 + 39*w**5/100 - 2*w**3/15 + 2*w - 4. Let j(q) be the first derivative of u(q). Suppose j(k) = 0. What is k?
-1, -2/5, 0, 2/7
Let i(b) = -b**2 - 8*b - 1. Let x be i(-7). Factor 3*z**2 - 6*z**2 + x*z**2 + 3*z.
3*z*(z + 1)
Let c(u) = u**2 - u - 3. Let m be c(3). Suppose -5*v + 3 = -2. Suppose 5*x**3 + x - m*x**2 - v - 4*x**3 + 2*x = 0. Calculate x.
1
Let h(f) be the second derivative of 1/90*f**6 + 0 + 0*f**2 + 0*f**3 + 0*f**4 - 2*f + 1/60*f**5. Suppose h(u) = 0. Calculate u.
-1, 0
Find c, given that 0*c**2 + 3 - 2*c**2 + 5*c**2 + 6*c = 0.
-1
Let y be (-9)/27*(-12)/5. Let c(l) be the first derivative of -1/3*l**6 - 1/2*l**4 + y*l**5 + 0*l - 1 + 0*l**2 + 0*l**3. Determine s so that c(s) = 0.
0, 1
Suppose 0 = 4*v - h - 33, 0 = 5*h - 5 - 10. Let a be 8/3*v/12. Let -2/5 + 2/5*n**3 - 2/5*n + 2/5*n**a = 0. Calculate n.
-1, 1
Let n(z) = z**3 + 35*z**2 + 39*z + 174. Let l be n(-34). Factor 0*h**l + 0*h + 0 + 0*h**3 + 0*h**2 + 3/4*h**5.
3*h**5/4
Suppose -h - d = 0, -d + 3 = 3*h - 1. Let t(q) = q**2 + 5*q + 3. Let r be t(-5). Let -v**3 - 2*v + 3 - 1 + r*v**3 - h*v**2 = 0. Calculate v.
-1, 1
Let k**3 - 11*k**3 + 8*k + 3*k**2 + 13*k**2 = 0. What is k?
-2/5, 0, 2
Let o(d) be the first derivative of -d**3/6 + 3*d**2/4 - d - 5. Factor o(z).
-(z - 2)*(z - 1)/2
Let f(m) = m**3 + m**2 - m. Let d(r) = -5*r**3 - 9*r**2 + 5*r + 2. Let q(h) = 2*d(h) + 14*f(h). Factor q(t).
4*(t - 1)**2*(t + 1)
Find q, given that -1/2 + 0*q**3 - 1/2*q**4 + 0*q + q**2 = 0.
-1, 1
Let t(x) be the second derivative of -10/9*x**4 + 17/18*x**3 + 0 - 1/3*x**2 + 3*x + 4/15*x**5. Factor t(q).
(q - 2)*(4*q - 1)**2/3
Let m(i) be the third derivative of i**8/30240 + i**7/11340 - i**6/1620 + i**4/12 - 3*i**2. Let y(r) be the second derivative of m(r). Factor y(c).
2*c*(c - 1)*(c + 2)/9
Let m(h) be the first derivative of -8*h**4/7 + 24*h**3/7 - 6*h**2/7 - 8*h/7 - 2. Solve m(n) = 0.
-1/4, 1/2, 2
Suppose -4*m + 28 = -4*y, -2*m + 0 = -3*y - 18. Let g = 5 - m. Suppose -4/7*d + 0*d**g - 2/7*d**4 + 4/7*d**3 + 2/7 = 0. What is d?
-1, 1
Let d(o) be the third derivative of -o**8/1344 - o**7/280 + o**6/120 + 18*o**2. Suppose d(f) = 0. Calculate f.
-4, 0, 1
Let n(c) be the first derivative of c**5/10 + 11*c**4/8 + 15*c**3/2 + 81*c**2/4 + 27*c - 29. Factor n(h).
(h + 2)*(h + 3)**3/2
Let y(d) be the second derivative of d**7/420 + d**6/270 - d**5/180 + d**3/6 + 5*d. Let h(p) be the second derivative of y(p). Factor h(j).
2*j*(j + 1)*(3*j - 1)/3
Determine f so that 32/3*f - 4/3*f**2 - 64/3 = 0.
4
Let r be (-6)/(-9) - 14/(-6). Let 4*p**2 + 3*p**4 - 3*p**r - p**2 - p - 2*p**4 = 0. Calculate p.
0, 1
Solve -4/3*f**3 - 128/3 + 0*f + 8*f**2 = 0.
-2, 4
Let m be -2 - 1 - 38/(-12). Factor -1/6*q**4 - m*q**3 + 0*q + 1/6*q**5 + 1/6*q**2 + 0.
q**2*(q - 1)**2*(q + 1)/6
Let m(p) = 4*p**2 + p - 1. Let k be m(1). Suppose -k*a = -2*f - 13 + 3, 7 = 4*a + f. Factor 0 - 1/4*s**a + 1/4*s.
-s*(s - 1)/4
Let r(d) be the first derivative of d**6/15 + 2*d**5/25 - 9*d**4/10 + 22*d**3/15 - 4*d**2/5 - 3. Factor r(t).
2*t*(t - 1)**3*(t + 4)/5
Let z(l) be the second derivative of l**5/90 + l**4/27 - l**3/27 - 2*l**2/9 - 7*l. What is u in z(u) = 0?
-2, -1, 1
Let y = -20 - -25. Let j(v) be the third derivative of -v**2 + 1/60*v**y + 0 + 0*v**4 + 0*v + 0*v**3 + 1/210*v**7 - 1/60*v**6. Factor j(u).
u**2*(u - 1)**2
Let j(k) be the first derivative of -k**7/360 + k**6/216 + k**5/180 - 2*k**3/3 + 1. Let h(o) be the third derivative of j(o). What is f in h(f) = 0?
-2/7, 0, 1
Let g be 28/(-8)*(-5)/(140/24). Factor 2/5*u**g + 0*u**2 + 0 + 0*u.
2*u**3/5
Let g = -114 + 114. Find m, given that g - 1/4*m + m**4 + 1/4*m**3 - m**2 = 0.
-1, -1/4, 0, 1
Let o(g) be the third derivative of -g**6/30 - g**5/3 - 4*g**4/3 - 8*g**3/3 + g**2 + 4*g. Solve o(r) = 0 for r.
-2, -1
Let h = 964 - 960. Let -24/5*o + 2/5*o**h + 6/5*o**3 - 16/5 - 4/5*o**2 = 0. What is o?
-2, -1, 2
Let g(o) be the first derivative of 3 + 0*o**3 + 3*o + 0*o**2 - 1/16*o**4. Let m(y) be the first derivative of g(y). Determine x, given that m(x) = 0.
0
Factor 3*s + s**5 + 0*s**5 - 2*s**3 - 2*s.
s*(s - 1)**2*(s + 1)**2
Suppose 5*w = 2*w - 4*b + 12, 0 = -4*w + 2*b - 6. Let i(n) be the second derivative of -2/15*n**3 + 3*n + 1/30*n**4 + 0 + w*n**2. Factor i(y).
2*y*(y - 2)/5
Suppose -7*w**2 + 10*w**2 - 1 + 8*w - 3 - 7*w**2 = 0. Calculate w.
1
Suppose 0 = -2*w - 4, -2*w + w = -2*j + 12. Let a be ((-1)/(-3))/(j/60). Factor 2/3*p**3 + 4/3*p**a + 0*p + 2/3*p**5 + 0 + 0*p**2.
2*p**3*(p + 1)**2/3
Let a(y) = y**2. Let t(n) = 60*n - 84. Let j(x) = 12*x - 17. Let d(k) = 24*j(k) - 5*t(k). Let u(r) = 3*a(r) + d(r). Factor u(z).
3*(z - 2)**2
Let n be 27/248*6 - 1. Let a = -3/31 - n. Find y such that 1/4 + 1/4*y**3 - 1/4*y**2 - a*y = 0.
-1, 1
Suppose 0 = -5*p + 2 - 7. Let i = p + 4. Factor -2/3*b**2 + 0 + 0*b + 1/3*b**i.
b**2*(b - 2)/3
Factor 48*m**3 - 32*m**2 - 15*m - 24*m**4 + 25*m - 10*m + 4*m**5.
4*m**2*(m - 2)**3
Let m be -3*(-2)/(-3) + 228/57. Let 0*t + 2/5*t**4 + 1/5*t**m + 0 - 3/5*t**3 = 0. Calculate t.
0, 1/2, 1
Let s be 5/((-2)/(-2) + 0). Suppose -7*v**2 + 14*v - 4*v**2 + s*v**2 - 4 = 0. What is v?
1/3, 2
Let l = 453 + -450. Let -4/5 - 26/5*m**l - 38/5*m**2 - 22/5*m - 6/5*m**4 = 0. Calculate m.
-2, -1, -1/3
Let n(d) be the third derivative of d**6/320 - 3*d**4/64 + d**3/8 - 11*d**2. Factor n(i).
3*(i - 1)**2*(i + 2)/8
Let p(s) be the first derivative of 0*s + 1/12*s**3 + 1/4*s**2 + 1 + 1/4*s**5 - 1/2*s**4. Suppose p(x) = 0. What is x?
-2/5, 0, 1
Factor -2*o - 187*o**3 - 2 + 2*o**2 + 97*o**3 + 92*o**3.
2*(o - 1)*(o + 1)**2
Let c(g) be the third derivative of -4*g**7/105 - g**6/30 + 2*g**5/5 - g**4/6 - 4*g**3/3 + 4*g**2. Suppose c(h) = 0. Calculate h.
-2, -1/2, 1
Let y(p) be the first derivative of 0*p**2 + 0*p + 1 - 1/12*p**3 + 1/8*p**4 - 1/20*p**5. Factor y(i).
-i**2*(i - 1)**2/4
Let l = 186 + -329/2. Let k = l - 21. Find i such that -1/2*i**2 + k - 1/2*i**3 + 1/2*i = 0.
-1, 1
Let d = -7/2 - -35/6. Let i be ((-14)/(-8))/(6/8). Factor -i*z**3 + 2/3*z**2 + d*z - 2/3.
-(z - 1)*(z + 1)*(7*z - 2)/3
Suppose -3*y + 8*y + 3*m = 29, -3*y - m + 15 = 0. Let f(i) be the second derivative of 0 + 1/48*i**y - i + 0*i**2 - 1/24*i**3. Factor f(t).
t*(t - 1)/4
Let u(j) be the second derivative of -1/24*j**3 - 1/168*j**7 + j + 1/40*j**5 + 0*j**4 + 0*j**2 + 0 + 0*j**6. Find f such that u(f) = 0.
-1, 0, 1
Let r(a) be the third derivative of -a**5/100 - a**4/20 - 5*a**2. What is q in r(q) = 0?
-2, 0
Factor -2/5*u**2 + 16/5*u - 32/5.
-2*(u - 4)**2/5
Let n(g) be the second derivative of g**5/120 - g**4/24 + g**3/12 + 2*g**2 + 3*g. Let p(k) be the first derivative of n(k). Factor p(j).
(j - 1)**2/2
Let g = 0 + 6. Let f(d) = -d**2 + 7*d - 1. Let r(p) = -p**2 + 8*p - 1. Let c(t) = g*f(t) - 5*r(t). Find y such that c(y) = 0.
1
Suppose 2*r - 2 = -3*y + 4*y, 14 = 2*y + 5*r. Suppose -8*d