*3/4
Let p be -1 + (-45)/18 + 4. Let s be (2/12)/(2/6). Suppose p - s*b**2 + 0*b = 0. What is b?
-1, 1
Let w(g) = g**3 - 11*g**2 + 26*g - 13. Let p be w(8). Let l(f) be the first derivative of -f**2 - 1/16*f**4 - 5/12*f**p + 3 - f. Find d, given that l(d) = 0.
-2, -1
Let s be 189/(-42)*4/(-6). Factor -6*i**s + 35*i**5 + 5*i**4 - 6*i**4 - 4*i**3 + 26*i**4.
5*i**3*(i + 1)*(7*i - 2)
Let a = -316 - -321. Let n(f) be the second derivative of -1/10*f**6 + 0 + 8*f + 3/5*f**a - 3/4*f**4 + 6*f**2 - 2*f**3. Factor n(d).
-3*(d - 2)**2*(d - 1)*(d + 1)
Let k(n) be the third derivative of 1/20*n**5 + 0*n + 1/6*n**4 + 0 + 1/4*n**3 - 1/420*n**7 + 0*n**6 - 3*n**2. Find d, given that k(d) = 0.
-1, 3
Let p(s) be the first derivative of -s**5/4 - 5*s**4/4 - 5*s**3/2 - 5*s**2/2 - 26*s - 20. Let m(x) be the first derivative of p(x). Factor m(q).
-5*(q + 1)**3
Let w be -1 + (-3)/(6/(-2)). Let g be (-26)/(-260) - (-13)/70. Factor 0*t**2 + 0 - g*t**3 + w*t.
-2*t**3/7
Let w(p) be the third derivative of -17*p**2 + 0 + 0*p + 0*p**3 - 1/168*p**4 + 1/420*p**5. Factor w(g).
g*(g - 1)/7
Let a(o) be the third derivative of 5*o**8/336 - 11*o**7/21 + 47*o**6/12 - 40*o**5/3 + 605*o**4/24 - 85*o**3/3 - 212*o**2. Factor a(w).
5*(w - 17)*(w - 2)*(w - 1)**3
What is k in -10 + 1230*k**3 - 1235*k**3 - 25*k + 0 - 20*k**2 = 0?
-2, -1
Suppose 4/7*f**2 - 92/7*f + 88/7 = 0. Calculate f.
1, 22
Let d = 2/529 + 489/10580. Let n(p) be the third derivative of -1/100*p**5 - 5*p**2 + 0 + 0*p + 3/350*p**7 + 0*p**3 + d*p**4 - 1/50*p**6. Factor n(j).
3*j*(j - 1)**2*(3*j + 2)/5
Let k(v) be the first derivative of v**6/6 + 8*v**5/5 + 7*v**4/4 - 24*v**3 - 72*v**2 + 71. Factor k(o).
o*(o - 3)*(o + 3)*(o + 4)**2
Suppose 70 = 4*c + 2*u, -4*c = 5*u - u - 68. Let j be (-19)/(-7) - (-2)/7. Find v, given that -3*v**5 - 12*v**2 + 12*v + 8*v**4 - 14*v**4 + c*v**4 - 9*v**j = 0.
-1, 0, 1, 2
Let s = -97 - -99. Factor -2*k**4 + 3637*k**2 - 3637*k**s.
-2*k**4
Let r(c) = -135*c**2 + 2170*c - 520. Let x(n) = 17*n**2 - 271*n + 65. Let a(g) = 3*r(g) + 25*x(g). Factor a(p).
5*(p - 13)*(4*p - 1)
Let v(i) be the second derivative of -1/12*i**4 - 5/6*i**3 + 0 + 0*i**2 + 11*i. Factor v(u).
-u*(u + 5)
Factor x**2 + x**3 + 13*x**2 + 21*x - 10 + 3*x**2 - 29*x**2.
(x - 10)*(x - 1)**2
Find j, given that -1/5*j**4 - 9/5*j**2 - 7/5*j - 2/5 - j**3 = 0.
-2, -1
Let n be 20/42*324/(-5). Let l = 704/21 + n. Factor -8/3*x**4 - l*x**3 + 2*x**5 + 0*x**2 + 0 + 0*x.
2*x**3*(x - 2)*(3*x + 2)/3
Suppose -4 + 2 = -2*q. Let r(y) = -y**2 - y - 1. Let b(c) = 5*c**2 - c + 3. Let j be ((-3)/(-2))/(2/4). Let u(w) = j*r(w) + q*b(w). Factor u(g).
2*g*(g - 2)
Let a = 2000 - 1995. Let t(m) be the third derivative of 0 + 13*m**2 + 0*m**6 - 1/350*m**7 + 0*m**4 + 1/100*m**a + 0*m + 0*m**3. Factor t(h).
-3*h**2*(h - 1)*(h + 1)/5
Let d = -874 - -877. Factor 0 + 1/4*g**4 + 7/4*g**d + 9/4*g + 15/4*g**2.
g*(g + 1)*(g + 3)**2/4
Let d(l) be the third derivative of -l**7/70 + 121*l**6/40 - 4797*l**5/20 + 58835*l**4/8 + 68921*l**3 + 152*l**2 - 2. Find k such that d(k) = 0.
-2, 41
Determine v, given that -2*v**2 + 266*v - 138*v + 28 - 102*v = 0.
-1, 14
Let j(c) be the second derivative of 0*c**2 + 3/20*c**5 - 5*c + 0 + 0*c**3 + 1/4*c**4. Factor j(z).
3*z**2*(z + 1)
Let y = -35 + 39. Factor 36*j**3 - 33*j**3 - 2*j**2 + 3*j**y + 2*j**4.
j**2*(j + 1)*(5*j - 2)
Let j be (0/(-8))/(-2 - -1). Let o(x) be the third derivative of 3*x**2 + 0*x**4 + j*x + 1/60*x**5 + 0*x**3 + 0 + 0*x**6 - 1/210*x**7. Factor o(l).
-l**2*(l - 1)*(l + 1)
Suppose 3*u + 7 = l, -3*l - u - 6 = -17. Factor 26*b - 21*b**2 + 674 + 5*b**3 - 689 - l*b**2 + 9*b.
5*(b - 3)*(b - 1)**2
Let q(k) be the first derivative of 27*k**4/16 + 17*k**3/2 + 21*k**2/2 - 6*k - 8. Find v such that q(v) = 0.
-2, 2/9
Let y(l) be the third derivative of -l**5/210 + 3*l**4/7 - 68*l**3/21 - 431*l**2. Factor y(m).
-2*(m - 34)*(m - 2)/7
Suppose 4*n - 4*g = -4, -22 - 2 = -4*n - 3*g. Determine r so that 1/4*r**n + 0*r - 1/4*r**5 + 1/2*r**2 + 0 - 1/2*r**4 = 0.
-2, -1, 0, 1
Let b(x) be the third derivative of -2*x**5/75 - 329*x**4/60 - 82*x**3/15 - 302*x**2. Find w, given that b(w) = 0.
-82, -1/4
Factor 12/11*j**2 - 2/11*j**4 + 48/11 - 56/11*j + 6/11*j**3.
-2*(j - 2)**3*(j + 3)/11
Let k(b) = -10*b**4 - b**3 - b**2 + b + 11. Let z(j) = -5*j**4 - j**3 - j**2 + j + 6. Let c be (33/(-6))/((-3)/(-6)). Let p(x) = c*z(x) + 6*k(x). Factor p(q).
-5*q*(q - 1)**2*(q + 1)
Let y(m) be the third derivative of 3*m**7/35 + m**6/3 - m**5/6 - 5*m**4/3 - 4*m**3/3 + 3*m**2 - 6*m. Find p, given that y(p) = 0.
-2, -1, -2/9, 1
Suppose -20 = 119*u - 123*u. Factor -14 - u*k + 2 - 5*k**2 + 12.
-5*k*(k + 1)
Let m(d) = -22*d**2 + 374*d. Let w be m(17). Factor w - 3/2*b**2 + 0*b.
-3*b**2/2
Suppose 0 = -12*h + 7*h. Suppose -z + 10 = -4*c, 14*z - 12*z - 14 = 5*c. Solve h + 1/4*x**3 + 1/2*x**z + 0*x = 0.
-2, 0
Let v be 2/6 + 64/24. Factor -v*o**2 - 2*o**2 + 2*o + 3*o**2.
-2*o*(o - 1)
Let j(c) = c + 15. Let s be j(-13). Suppose -7*x**2 - 4*x + 8 - 2*x**2 - 4*x**2 + 4*x**3 + 5*x**s = 0. Calculate x.
-1, 1, 2
Let k(o) be the third derivative of 2/315*o**7 - 1/18*o**6 + 8*o**2 + 7/45*o**5 + 0*o + 0*o**3 + 0 - 1/6*o**4. Factor k(n).
4*n*(n - 3)*(n - 1)**2/3
Factor 1 - 127/2*k**2 - 125/2*k.
-(k + 1)*(127*k - 2)/2
Let l = 1063/3 + -4237/12. Suppose 0 + 1/2*v**2 + 0*v + l*v**4 + 7/4*v**3 = 0. Calculate v.
-1, -2/5, 0
Let z(x) be the third derivative of 5*x**8/48 - 5*x**7/42 - 3*x**6/8 + 5*x**5/12 + 5*x**4/12 + 5*x**2 + 10*x. Let z(i) = 0. What is i?
-1, -2/7, 0, 1
Let z(k) be the second derivative of 1/16*k**4 - 11*k + 0 + 3/2*k**2 + 1/2*k**3. What is i in z(i) = 0?
-2
Suppose -7*p**5 + 0*p - 3*p + 6*p**4 - 5*p**2 - 5*p**2 + 10*p**5 + 4*p**2 = 0. What is p?
-1, 0, 1
Let i(m) = 2*m**3 + m. Let u(o) = 7*o**3 - 156*o**2 + 5928*o + 12482. Let z(y) = -3*i(y) + u(y). Suppose z(h) = 0. What is h?
-2, 79
Let m(g) be the second derivative of 5*g**7/42 - g**6/2 - 3*g**5/2 + 10*g**4/3 - 599*g. Find s such that m(s) = 0.
-2, 0, 1, 4
Solve 152/3*x**2 + 0 - 214/3*x**3 + 70/3*x**4 - 8/3*x = 0 for x.
0, 2/35, 1, 2
Let k(f) = -3*f + 6. Let u be k(2). Let y = -2/55 + 179/385. Let u + 1/7*t**2 - y*t = 0. Calculate t.
0, 3
Suppose -5*u - 2*a = -126, u + 4*a = 19 - 1. Solve 4*w**3 - 2*w**3 + u*w**4 + 22*w**4 - 46*w**4 = 0 for w.
-1, 0
Let z = 19 - 18. Let p be -4 - ((z - 7) + 0). Factor 2 + 17*f**2 - f**2 - 10*f**3 - p + 2*f**4 - 8*f.
2*f*(f - 2)**2*(f - 1)
Let l(n) = -14*n**3 + 18*n - 4. Let z(g) = g**3 - g. Let j = 3 + 9. Let u(m) = j*z(m) + l(m). Solve u(w) = 0 for w.
-2, 1
Let u(q) be the second derivative of q**5/20 + 23*q**4/6 + 529*q**3/6 - 94*q + 2. Factor u(y).
y*(y + 23)**2
Factor -66*r**3 - 5*r**4 - 71 - 53 - 253*r**2 + 88 - 228*r.
-(r + 1)*(r + 6)**2*(5*r + 1)
Factor 504 + 2/7*d**2 - 24*d.
2*(d - 42)**2/7
Factor 571 - 95 - 117 - 203 - 4*b**2 + 40*b.
-4*(b - 13)*(b + 3)
Solve -8/5*q + 16/5 + 1/5*q**2 = 0.
4
Suppose -2*f = 4*q - 0*f - 6, -5*f - 7 = -q. Suppose -q*p - 1 + 5 = 0. Factor 4*w + 33 - 33 - 2*w**3 - p*w**2.
-2*w*(w - 1)*(w + 2)
Let i(d) be the first derivative of 0*d**2 + 2/3*d - 24 - 2/9*d**3. Find j, given that i(j) = 0.
-1, 1
Suppose 11*o - 2*a - 2 = 8*o, -4*a = 4. Determine b so that 0*b**2 + 2/19*b**3 - 2/19*b + o = 0.
-1, 0, 1
Let x(w) be the first derivative of -8*w - 10/3*w**2 - 4/9*w**3 - 12. Factor x(n).
-4*(n + 2)*(n + 3)/3
Let n(x) = x**3 + 4*x**2 + 8*x + 16. Let v(w) = -w + 1. Let u(p) = -p**2 + 4*p - 4. Let r(z) = u(z) + 4*v(z). Let l(o) = 4*n(o) + 44*r(o). Factor l(t).
4*(t - 4)**2*(t + 1)
Let s(d) be the first derivative of -d**4/96 + d**3/48 + d**2/8 + 23*d - 10. Let r(x) be the first derivative of s(x). Suppose r(u) = 0. What is u?
-1, 2
Let z(j) be the third derivative of -j**9/18144 + j**8/3360 - j**6/540 - 3*j**3 - 6*j**2. Let f(a) be the first derivative of z(a). Let f(h) = 0. Calculate h.
-1, 0, 2
Let b(f) be the first derivative of 2*f**5/5 + 3*f**4/2 - 4*f**3/3 - 12*f**2 - 16*f + 838. What is k in b(k) = 0?
-2, -1, 2
Let k be (-286)/715 - 56/(-10). Factor -52/5*j**2 + 12/5 + 14/5*j**3 + k*j.
2*(j - 3)*(j - 1)*(7*j + 2)/5
Let q(p) be the third derivative of -3*p**6/8 + 37*p**5/4 - 250*p**4/3 + 1120*p**3/3 + 325*p**2 - 1. Let q(s) = 0. What is s?
8/3, 7
Let q = -134/57 - -2783/1596. Let b = -75/308 - q. Let b*u - 10/11*u**2 + 8/11*u**3 - 2/11*u**4 