5 + n*z**4 + 0*z + 1/6*z**6 + 0*z**2 + 2 + 0*z**3. Factor b(u).
u**3*(u - 1)*(3*u - 1)/3
Let r = 9263131/340171 + -1/26167. Let u = r - 348/13. Factor 2/13*f**4 - 10/13*f - 4/13 - u*f**2 + 2/13*f**3.
2*(f - 2)*(f + 1)**3/13
Let p(m) = -m**2 + 5*m - 4. Let q be p(4). Let g(z) be the first derivative of 3*z**3 - 7 + q*z - 27/4*z**2 - 3/8*z**4. Suppose g(h) = 0. Calculate h.
0, 3
Suppose 0*b**3 - 24/7*b**2 + 32/7*b + 0 + 2/7*b**4 = 0. Calculate b.
-4, 0, 2
Let j = -148 - -152. Let q(p) be the third derivative of 1/6*p**3 - 5*p**2 + 0*p + 1/12*p**j - 1/210*p**7 - 1/60*p**6 + 0*p**5 + 0. Factor q(m).
-(m - 1)*(m + 1)**3
Let f = 13 - 10. Factor 3*l**5 - 9 - 47*l + 3*l**4 - 11*l**f + 14*l - 42*l**2 - 7*l**3.
3*(l - 3)*(l + 1)**4
Let m(z) be the first derivative of -2/39*z**3 + 1/13*z**4 - 2/13*z**2 + 9 + 2/65*z**5 + 0*z. Let m(g) = 0. Calculate g.
-2, -1, 0, 1
Suppose 0 = 2*r + 3*f - 1, -4*r - 2*f + 4*f + 10 = 0. Let a be (-246)/30 + 27/3. Factor -7/5*d**r + 0*d - 3/5*d**3 + a.
-(d + 1)*(d + 2)*(3*d - 2)/5
Let y(t) be the first derivative of 0*t**4 + 3/25*t**5 - 1/30*t**6 + 0*t - 4/15*t**3 + 0*t**2 - 5. Suppose y(k) = 0. What is k?
-1, 0, 2
Let d(j) be the first derivative of -j**3 - 9*j**2 + 48*j + 29. Let d(m) = 0. Calculate m.
-8, 2
Let z be 22/143 + ((-76)/13)/(-1). Let s(j) be the first derivative of -1/6*j**4 + 1/3*j - 2/3*j**2 + z + 5/9*j**3. Find o such that s(o) = 0.
1/2, 1
Let h(i) be the second derivative of i**5/20 - 5*i. Let r(m) = -4*m**3 - 2*m. Let c(t) = -6*h(t) - r(t). Find l, given that c(l) = 0.
-1, 0, 1
Let -20*j**2 + 64*j + 4/3*j**3 - 176/3 = 0. Calculate j.
2, 11
Let g(u) = -6*u - 40. Let f be g(-7). Factor 3*r**2 - r**f - r**4 - r**3 + 0*r**2.
-r**2*(r - 1)*(r + 2)
Let z(n) be the first derivative of -4*n**3/9 - 28*n**2/3 - 32. Find o, given that z(o) = 0.
-14, 0
Let m = 47 + -44. Factor -4*n**3 + n**m - 6*n - 4*n**2 - 5*n**2.
-3*n*(n + 1)*(n + 2)
Let r = 1/148 - 189/592. Let f = 7/80 - r. Factor -f*u**3 - 2/5*u**4 + 2/5*u + 2/5*u**2 + 0.
-2*u*(u - 1)*(u + 1)**2/5
Let i(t) = t**3 - 8*t**2 + 6*t + 10. Let j(q) = q**3 + 5*q**2 - 8*q - 5. Let h be j(-6). Let m be i(h). What is n in 2*n**2 - 8*n**2 + 0*n**2 + m*n**2 = 0?
0
Suppose -3*c = -4*c + 2*y - 2, 5*c + 5*y - 20 = 0. Solve -11 + 4*b - 5 + c*b**2 + 10 = 0.
-3, 1
Find i, given that 6650*i**2 - 6655*i**2 + 7*i + 3*i - 5*i**3 = 0.
-2, 0, 1
Let f(v) be the third derivative of v**9/7560 + v**8/6720 - v**7/1260 - v**6/720 + 5*v**4/6 - 3*v**2. Let k(d) be the second derivative of f(d). Factor k(t).
t*(t - 1)*(t + 1)*(2*t + 1)
Suppose 147*s - 154*s = -299*s. Determine t, given that 14/25*t**4 + s*t + 6/25*t**5 + 2/25*t**2 + 0 + 2/5*t**3 = 0.
-1, -1/3, 0
Let p = -116/3 - -39. Suppose 11*m - 300 = -89*m. Factor 1/3*f**5 + p*f + 1/3 - 2/3*f**2 + 1/3*f**4 - 2/3*f**m.
(f - 1)**2*(f + 1)**3/3
Suppose 0 = -22*x - 228 + 272. Determine w, given that 0*w - 3/7*w**x + 0 = 0.
0
Factor 36*t**2 + 4*t**3 - 138 - 166 + 96*t + 368.
4*(t + 1)*(t + 4)**2
Let t(r) be the third derivative of r**8/1512 - r**7/945 - 7*r**6/180 + r**5/270 + 5*r**4/27 - 591*r**2. Find x, given that t(x) = 0.
-4, -1, 0, 1, 5
Let t(s) be the first derivative of -s**5/10 + 5*s**4/6 - 7*s**3/3 + 3*s**2 + 4*s - 4. Let d(u) be the first derivative of t(u). Factor d(h).
-2*(h - 3)*(h - 1)**2
Let s(g) = -4*g + 112. Let m be s(28). Let l(q) be the second derivative of m - 1/78*q**4 - 9/13*q**2 - 4*q + 2/13*q**3. Find o such that l(o) = 0.
3
Let k(f) be the second derivative of 8/27*f**3 - 1/18*f**4 - 16*f - 1/45*f**5 + 0 - 4/9*f**2 + 1/135*f**6. Factor k(h).
2*(h - 2)*(h - 1)**2*(h + 2)/9
Let c = 1560 + -333835/214. Let r = c - -2533/1498. What is z in 0 - 12/7*z**2 - 4/7*z**4 - r*z**3 - 4/7*z = 0?
-1, 0
Let n = -63 - -62. Let d be (-70)/56 - 2/n. Determine r so that 0 - 3/2*r + d*r**2 = 0.
0, 2
Let s(r) be the third derivative of 5/12*r**5 - 1/3*r**3 + 0*r + 0 - 5/24*r**4 - 21*r**2. Determine b so that s(b) = 0.
-1/5, 2/5
Let c be -7*((-12)/28 - 0) + -3. Let g(i) be the third derivative of c + 0*i**3 - 1/270*i**5 + 2*i**2 - 1/108*i**4 + 0*i. What is b in g(b) = 0?
-1, 0
Let o(s) be the third derivative of -1/180*s**5 + 0 + 0*s**3 + 1/24*s**4 + 11*s**2 + 0*s. Let o(w) = 0. What is w?
0, 3
Let x(b) = -4*b**4 + 624*b**3 + 146011*b**2 + 15185664*b + 592240896. Let o(a) = a**4 + a**2. Let j(m) = 5*o(m) + x(m). Suppose j(g) = 0. What is g?
-156
Factor 2/9*b**2 - 10/9*b + 4/3.
2*(b - 3)*(b - 2)/9
Let m = 2019 - 2017. Factor 4/3 - 1/3*b**m + 0*b.
-(b - 2)*(b + 2)/3
Suppose 0 = 110*s - 109*s + w + 2, -s - 3*w - 12 = 0. Determine d so that 2/3*d + 0*d**2 - 2/3*d**s + 0 = 0.
-1, 0, 1
Let s be (550/(-11))/(3/((-3)/2)). Factor -8*p**4 + 25*p**5 - 4*p**3 + s*p**5 - 54*p**5.
-4*p**3*(p + 1)**2
Suppose -38 = 2*i - 4*i. Factor 6*t**4 + 28 - 36*t**3 + 6*t**4 - 9*t**2 + 24*t - i.
3*(t - 3)*(t - 1)*(2*t + 1)**2
Factor 3/7*l**2 - 3/7*l**3 + 6*l - 72/7.
-3*(l - 3)*(l - 2)*(l + 4)/7
Let f(i) be the third derivative of -i**7/210 + i**5/20 - i**4/12 - 106*i**2. Let f(m) = 0. Calculate m.
-2, 0, 1
Find v, given that -5/4*v**2 + 0 + 5*v = 0.
0, 4
Factor -4/3*w + 80/9 - 2/9*w**2.
-2*(w - 4)*(w + 10)/9
Let d(t) be the second derivative of 0*t**2 - 1/42*t**3 + 0 - 1/42*t**4 + 17*t - 1/140*t**5. Factor d(n).
-n*(n + 1)**2/7
Let i be ((7 + -3)*-6)/((-6)/4). Determine m, given that -16*m**2 - 4*m - 4*m**5 + 63*m**4 - 47*m**4 + i*m - 8*m**3 = 0.
-1, 0, 1, 3
Suppose -4*j + 2*z = -16, -4*z - 4 = -5*j + 13. Suppose -2*k = -b + 6, -j*b + 0*k = 2*k - 18. Factor x - 1/3*x**5 - 2/3*x**3 - 2/3*x**2 + x**b - 1/3.
-(x - 1)**4*(x + 1)/3
Let n = -821/3 + 277. Let k(c) be the first derivative of 1 - 2/3*c - 50/9*c**3 - n*c**2. Factor k(i).
-2*(5*i + 1)**2/3
Solve -6627/4*i**2 + 282*i - 12 = 0 for i.
4/47
Determine s so that -9*s**2 - 150*s - s**3 - 153*s + 295*s = 0.
-8, -1, 0
Let v(p) be the second derivative of p**6/5 + 17*p**5/20 + 4*p**4/3 + 5*p**3/6 - 334*p. Factor v(u).
u*(u + 1)**2*(6*u + 5)
Suppose -5*w + 3*k = -15, -w = -2*k + 2 - 12. Suppose -7*a + 8*a - 5 = w. Solve a*p - 5*p**2 + 11*p**2 - 5*p**3 - 6*p**2 = 0.
-1, 0, 1
Let b = -39 + 41. Find o, given that 16/9 + 4/9*o**b - 2/9*o**4 + 2/3*o**3 - 8/3*o = 0.
-2, 1, 2
Suppose -20 = -5*r - 0. Let l be (r/(-10))/(84/(-20) - -4). Factor -8/7*d + 16/7 + 1/7*d**l.
(d - 4)**2/7
Let o(d) = -11*d**3 + 17*d**2 - 10*d - 5. Let i(k) = 5*k**3 - 8*k**2 + 5*k + 2. Let n(p) = 9*i(p) + 4*o(p). What is x in n(x) = 0?
1, 2
Let x(i) be the second derivative of -2*i**6/45 + 13*i**5/5 - 178*i**4/9 + 184*i**3/3 - 272*i**2/3 + 254*i - 1. Determine u, given that x(u) = 0.
1, 2, 34
Let s = 644 - 644. Find x such that s*x**2 + 0 - 1/4*x**3 + x = 0.
-2, 0, 2
Let h = -1937 + 9686/5. Determine z, given that 0*z + h - 1/5*z**2 = 0.
-1, 1
Let r(t) be the second derivative of -t**6/30 - 2*t**5/5 - 11*t**4/6 - 4*t**3 - 9*t**2/2 + 129*t. Factor r(v).
-(v + 1)**2*(v + 3)**2
Let a(w) be the third derivative of -w**7/70 + 13*w**6/20 - 42*w**5/5 - 13*w**4/4 + 169*w**3/2 + 99*w**2. Factor a(p).
-3*(p - 13)**2*(p - 1)*(p + 1)
Factor 2/5*m**2 + 6*m + 28/5.
2*(m + 1)*(m + 14)/5
Suppose -2*h = -4*v - 4, -3*v = -2*v - 4*h + 8. Let w be (3 - (1 - v))/(80/540). Factor -15/2*u**3 - 21/2*u - 3 - w*u**2 - 3/2*u**4.
-3*(u + 1)**3*(u + 2)/2
Let c(y) be the first derivative of y**4 - 8*y**3/3 + 2*y**2 - 50. Determine f so that c(f) = 0.
0, 1
Find t such that -2*t**4 + 4/3*t + 0 - 2/3*t**5 + 2*t**2 - 2/3*t**3 = 0.
-2, -1, 0, 1
Let p(o) be the first derivative of -2*o**3/27 - 17*o**2/9 - 32*o/9 + 23. What is i in p(i) = 0?
-16, -1
Let a(p) be the second derivative of 0*p**2 + 1/6*p**4 + 1/60*p**6 + 32*p + 0 + 1/10*p**5 + 0*p**3. Factor a(k).
k**2*(k + 2)**2/2
Let d(b) = -b**2 - 4*b + 2. Let p be d(-4). Suppose -5*n - p*v = -16, 0*n + 5*v = -n + 17. Factor 2/15*y - 2/15*y**n + 0.
-2*y*(y - 1)/15
Let f be 2/(-8) + 5/60*39. Factor 21*v**f + v**2 + 3*v - 2*v**2 + 9 - 20*v**3 - 4*v**2.
(v - 3)**2*(v + 1)
Let y(j) be the second derivative of j**5/15 - j**4/2 + 4*j**3/3 - 15*j**2/2 + 36*j. Let q(f) be the first derivative of y(f). Determine n so that q(n) = 0.
1, 2
Let g be ((-1518)/(-510) - 3)*(-4)/(-2). Let c = g - -38/85. Suppose 4/5 + 6/5*p - c*p**4 - 6/5*p**3 - 2/5*p**2 = 0. What is p?
-2, -1, 1
Let u = -2624 + 55108/21. Solve 2/21*s**2 + 0 - 2/21*s**3 + u*s = 0.
-1, 0, 2