 42*p + p**2 - p**2 - 5*p**2 + 56876*p**3 - 6*p**2 - 56877*p**3.
-p*(p - 3)*(p + 14)
Let o(p) = p**3 + 5*p**2 + 5*p - 1. Let s be o(-3). Let h(m) be the first derivative of -s*m + 2/3*m**2 - 7 + 2/9*m**3. Factor h(b).
2*(b - 1)*(b + 3)/3
Find u such that 9*u**3 + 3/2*u**4 - 33/2*u**2 - 90*u + 150 = 0.
-5, 2
Suppose 0 = 5*u - 3*h - 0*h - 9, 0 = 5*u - 5*h - 5. Factor 3 + 12*y + u + 2 + 4*y**2.
4*(y + 1)*(y + 2)
Let k(x) be the first derivative of -x**5/15 + x**4/12 + 5*x**3/9 + x**2/2 - 26. Factor k(b).
-b*(b - 3)*(b + 1)**2/3
Suppose -3*u + 0*u = -24. Let -81*w**2 + 4*w**3 + 4 + 24*w + u + 45*w**3 - 12*w**4 + 8*w**3 = 0. What is w?
-1/4, 1, 2
Determine i, given that 8/3*i**3 - 8 - 1/3*i**4 - 38/3*i - 5/3*i**2 = 0.
-1, 4, 6
Let m(i) be the first derivative of -i**4/3 - 4*i**3/3 - 15*i + 23. Let q(o) be the first derivative of m(o). Determine v, given that q(v) = 0.
-2, 0
Let a(u) = u**2 - 11*u - 8. Let p be a(12). Suppose 508 = p*y + 5*o + 167, 5*y = -o + 400. Suppose -y - 6*j + 3*j**2 + 79 = 0. What is j?
0, 2
Let t(a) be the third derivative of -1/420*a**6 + 1/84*a**4 + 0*a + 1/21*a**3 - 13*a**2 + 0 - 1/210*a**5. Let t(y) = 0. What is y?
-1, 1
Let u(x) be the first derivative of x**6/20 - x**5/3 + x**4/3 + 4*x**3/3 - 23. Let c(a) be the third derivative of u(a). Find f such that c(f) = 0.
2/9, 2
Let c be -2*(20 - 4/(-2)). Let l = 44 + c. Suppose 0*z - 2/3*z**5 + l*z**2 + 2/3*z**3 + 0 + 0*z**4 = 0. What is z?
-1, 0, 1
Factor 59*z**2 - 30 + z - 13*z**2 + 25*z**3 + 14*z**2 + 6*z - 2*z.
5*(z + 1)*(z + 2)*(5*z - 3)
Let v be 2 - (3 + -3 + -2). Let y(a) = -a**5 + a**4 - a**3 + 1. Let q(i) = -12*i**4 + 4*i**3 + 8*i**2 + 4*i - 4. Let t(f) = v*y(f) + q(f). Factor t(b).
-4*b*(b - 1)*(b + 1)**3
Let s(g) be the second derivative of -g**7/21 - 29*g**6/90 - 37*g**5/60 - 11*g**4/36 + g**3/6 + 2*g - 77. Let s(i) = 0. Calculate i.
-3, -1, 0, 1/6
Suppose 5*u = -2*z + 177, 6*u - 5*u - z - 41 = 0. Suppose -u*k + 34*k**3 + 48*k**2 - 4*k**5 - 107*k + 10*k**3 + 0*k**5 - 8*k**4 = 0. What is k?
-3, 0, 2
Let j(x) be the first derivative of x**4 + 4*x**3 + 4*x**2 - 78. Factor j(c).
4*c*(c + 1)*(c + 2)
Let u = -75 + 79. Suppose 2*p - 13 = -3*h - 4, -p + 3*h = 0. Factor 3/2*s**p + 3/4 - 3/2*s + 0*s**2 - 3/4*s**u.
-3*(s - 1)**3*(s + 1)/4
Suppose 21*j = -20 + 125. Solve 55*u**3 - 30*u**4 + 9*u**j - 27*u + 24*u**2 + 0*u**5 + 0*u**5 - 37*u**3 + 6 = 0 for u.
-1, 1/3, 1, 2
Let z(v) = -3*v**2 + 3*v + 2. Let k(h) = h**2 - h - 1. Let d be ((-52)/(-12) + -4)*12. Let r(l) = d*k(l) + z(l). Suppose r(i) = 0. Calculate i.
-1, 2
Let m(d) = -d**2 - 1. Let z(c) be the second derivative of 1/3*c**3 - 1/2*c**4 - c**2 + 6*c + 0. Let v(b) = 5*m(b) - z(b). What is f in v(f) = 0?
-1, 3
Factor -18/5 + 4*v - 2/5*v**2.
-2*(v - 9)*(v - 1)/5
Let m = 5/337 - -1001/674. Factor 0 - m*n**2 + 0*n - 3/4*n**3.
-3*n**2*(n + 2)/4
Let o(g) be the second derivative of -g**5/10 + 7*g**4/4 + 8*g**3 + 25*g**2/2 + 98*g. Determine n so that o(n) = 0.
-1, 25/2
Let m(u) be the first derivative of 27/14*u**2 - 3/35*u**5 + 3/4*u**4 + 17 - 15/7*u**3 + 0*u. Factor m(d).
-3*d*(d - 3)**2*(d - 1)/7
Let m(v) be the first derivative of 0*v**2 - 3/5*v**5 + 0*v + 0*v**3 + 15 + 3/4*v**4. Find l, given that m(l) = 0.
0, 1
Determine j so that 2*j - 5*j - 4*j + j**2 - 11 + 23 = 0.
3, 4
Find u such that 10/9*u**4 + 2/9*u**5 + 4/3*u**3 + 0 - 16/9*u - 8/9*u**2 = 0.
-2, 0, 1
Let o(t) be the second derivative of t**8/26880 + t**7/3360 - t**6/320 - 9*t**5/160 - 11*t**4/4 - t. Let u(w) be the third derivative of o(w). Factor u(g).
(g - 3)*(g + 3)**2/4
Let l(x) = 5*x**2 - 15*x - 10. Let g(q) = -q**3 - 5*q**2 + 13*q + 9. Let m(t) = -5*g(t) - 4*l(t). Factor m(v).
5*(v - 1)*(v + 1)**2
Let k be -2 + (-1)/(-3) + (-700)/(-105). Let l(x) be the third derivative of 5/132*x**4 + 0 - 1/33*x**3 + 0*x + 1/220*x**6 - 7/330*x**k - 6*x**2. Factor l(u).
2*(u - 1)**2*(3*u - 1)/11
Suppose -5*r + 2 = -3*g, -2*r - 490 + 510 = 2*g. Factor -10/7*m**3 - 8/7*m**r + 0 - 4/7*m**2 - 2/7*m**5 + 0*m.
-2*m**2*(m + 1)**2*(m + 2)/7
Determine u so that -36/7*u - 16/7 - 8/7*u**2 = 0.
-4, -1/2
Suppose 770 = 385*q - 0*q. Find d such that 81/5*d**3 - 6/5 + 18*d**q + 3/5*d = 0.
-1, -1/3, 2/9
Let q be (-20)/8*(-6)/10. Let t be (-12)/(-570)*-5 - (-23)/38. Determine j, given that t - q*j**2 - j = 0.
-1, 1/3
Let z(b) = -b**3 - 6*b**2 - 6*b - 3. Let t be z(-5). Factor 14*a**t - 5*a**2 - 5*a**2 - 16.
4*(a - 2)*(a + 2)
Let d(z) be the third derivative of -z**6/540 - 2*z**5/135 + 7*z**4/108 + 10*z**3/27 - 110*z**2. Suppose d(y) = 0. Calculate y.
-5, -1, 2
Let t(j) = -j**2 + 5*j + 24. Let q be t(7). Let i be ((-2)/q)/1 + 3/5. Solve 0 - i*b**2 + 0*b = 0.
0
Let g(k) = -k**3 + 10*k**2 - 13*k + 39. Let o be g(9). Find a, given that -2*a**2 - 2/5*a**5 + 2*a**o + 8/5 - 8/5*a + 2/5*a**4 = 0.
-2, -1, 1, 2
Let u(f) be the third derivative of -f**9/7560 - f**8/3360 + f**7/210 - 5*f**4/24 + 15*f**2. Let x(r) be the second derivative of u(r). Factor x(m).
-2*m**2*(m - 2)*(m + 3)
Let 0*y**2 + 0 + 6/5*y - 2/15*y**3 = 0. What is y?
-3, 0, 3
Suppose -1485*y + 1454*y = -62. What is c in -4 - 1/4*c**y - 1/4*c**4 + 3/2*c**3 - 6*c = 0?
-1, 4
Let h be (4/(-6))/((-26)/117). Let z(w) = -w**2 + 2*w + 7. Let f be z(h). Find m, given that f*m**2 + 5*m + 2 + 0*m**3 + m**3 + 0 = 0.
-2, -1
Suppose -39*h + 30*h - 162 = 0. Let b = h + 93/5. Factor -3/5*p**2 - b - 6/5*p.
-3*(p + 1)**2/5
Let d be (-1)/(-1)*(-7 + (-55)/(-5)). Let 1/7*v**5 + 1/7*v + 6/7*v**2 - 3/7*v**d - 3/7 - 2/7*v**3 = 0. What is v?
-1, 1, 3
Let h(q) be the second derivative of -q**4/6 - 16*q**3/3 - 24*q. Factor h(u).
-2*u*(u + 16)
Let y(q) be the first derivative of q**6/30 - 17*q**4/20 + 12*q**3/5 - 2*q**2 + 150. Factor y(x).
x*(x - 2)**2*(x - 1)*(x + 5)/5
Let o(c) be the first derivative of -c**9/5292 + c**8/2940 + c**7/1470 - c**6/630 - 2*c**3/3 - 6. Let i(k) be the third derivative of o(k). Factor i(a).
-4*a**2*(a - 1)**2*(a + 1)/7
Let -128/3*p**2 + 448/3*p**3 - 28/3*p**5 + 0 + 0*p + 8/3*p**4 = 0. What is p?
-4, 0, 2/7, 4
Let c(b) be the first derivative of 2*b**3/9 - 10*b**2/3 - 82. Factor c(j).
2*j*(j - 10)/3
Let b(t) be the third derivative of 0*t - 20*t**2 + 0 + 0*t**3 - 1/1050*t**7 + 0*t**4 + 0*t**6 + 1/75*t**5. Factor b(o).
-o**2*(o - 2)*(o + 2)/5
Let z(i) be the second derivative of i**5/30 + 7*i**4/12 + 2*i**3 + 8*i**2 + 2*i. Let h(g) be the first derivative of z(g). Solve h(v) = 0.
-6, -1
Let d(w) be the first derivative of -4*w**3/3 - 360*w**2 - 420. Factor d(i).
-4*i*(i + 180)
Let i(y) = -y**3 - y**2 - y + 1. Let w(d) = 44*d**4 - 95*d**3 + 61*d**2 - 7*d - 1. Let f(p) = i(p) + w(p). Factor f(c).
4*c*(c - 1)**2*(11*c - 2)
Let u(l) = 70*l**4 + 1650*l**3 - 180*l**2 - 1485*l. Let p(g) = 5*g**4 + 118*g**3 - 13*g**2 - 106*g. Let x(y) = 55*p(y) - 4*u(y). Suppose x(z) = 0. Calculate z.
-22, -1, 0, 1
Let p(i) be the second derivative of i**6/240 + 69*i**5/160 + 67*i**4/32 + 199*i**3/48 + 33*i**2/8 - 543*i. Factor p(l).
(l + 1)**3*(l + 66)/8
Let b = -3251 + 3251. Let -1/4*i + 1/4*i**2 + b = 0. Calculate i.
0, 1
Suppose 0 = 5*u - 171 + 71. Suppose 0 = 4*b - 7*v + 3*v + 20, -4*v = 2*b - u. Factor b - 4/5*x + 2/5*x**2.
2*x*(x - 2)/5
Suppose 3*c - 5*c = -0*c. Suppose f**2 - 2*f - 4 - 3 + c + 4 = 0. What is f?
-1, 3
Let s = 1650 - 8232/5. Factor 0 - s*o**2 - 6/5*o.
-6*o*(3*o + 1)/5
What is o in 0 - 1/4*o - 13/8*o**3 - 11/8*o**2 - 1/2*o**4 = 0?
-2, -1, -1/4, 0
Let k = 2178 + -2175. Suppose -2*z + 4*w + 12 = 0, w + 12 = 5*z - 3*w. Suppose 2/7*b**k + z*b + 0 - 2/7*b**2 = 0. Calculate b.
0, 1
Let x be (-7 - -7) + (-6)/(-1). Let l be x/((-69)/(-21) + -3). Suppose -l*i**2 + 3*i**3 - 7*i**2 + 7*i**2 - 27 + 45*i = 0. What is i?
1, 3
Let x(z) be the first derivative of z**5/10 + z**4/2 + 2*z**3/3 - 149. Solve x(l) = 0 for l.
-2, 0
Let r(m) be the third derivative of -m**8/840 - 2*m**7/75 + m**6/20 + 465*m**2 - 2. Suppose r(q) = 0. Calculate q.
-15, 0, 1
Let c(p) be the first derivative of 363*p**4/20 - 341*p**3/5 + 96*p**2 - 60*p - 87. Determine k, given that c(k) = 0.
10/11, 1
Let -3/2*p**2 + 252 - 159/2*p = 0. What is p?
-56, 3
Let n(a) be the third derivative of a**5/20 - a**4/4 - 3*a**3/2 + 23*a**2 - 1. Let n(y) = 0. What is y?
-1, 3
Let g(z) be the second derivative of -1/110*z**5 + 0*z**4 - 22 - 2/11*z**2 - z + 1/11*z**3. What is d in g(d) = 0?
-2, 1