
3*(z - 48)*(z + 1)/7
Let l(f) be the first derivative of f**5/24 - 7*f**4/48 + f**3/6 + 35*f**2/2 - 17. Let s(p) be the second derivative of l(p). Factor s(d).
(d - 1)*(5*d - 2)/2
Let -478*r**2 - 1802 + 6134 + 481*r**2 - 228*r = 0. Calculate r.
38
Let c(d) be the third derivative of -d**8/4032 + d**6/144 - d**5/12 + 7*d**2. Let u(m) be the third derivative of c(m). Find z, given that u(z) = 0.
-1, 1
Let o(j) be the first derivative of j**3/9 + 13*j**2/6 + 22*j/3 + 82. Find i, given that o(i) = 0.
-11, -2
Let i(d) be the first derivative of -d**3 + 24*d**2 + 51*d + 55. Factor i(h).
-3*(h - 17)*(h + 1)
Let t = 70 + -9. Determine s, given that 111*s**2 - 12*s - 12*s**3 - 9*s**3 - t*s**2 - 8 = 0.
-2/7, 2/3, 2
Let o(g) be the first derivative of -g**4/4 - 61*g**3/27 + 43*g**2/9 - 16*g/9 - 75. Find l, given that o(l) = 0.
-8, 2/9, 1
Let j(b) be the third derivative of b**9/362880 - b**8/120960 - 3*b**5/20 + 4*b**2. Let l(o) be the third derivative of j(o). Factor l(z).
z**2*(z - 1)/6
Let h(g) be the first derivative of 4*g**4 - 28*g**3 + 42*g**2 - 16*g + 44. Solve h(v) = 0.
1/4, 1, 4
Factor 6*j + 8 + 4 - 11 + 99 - j - 5*j**2.
-5*(j - 5)*(j + 4)
Factor 831*f**2 - 1661*f**2 - 2*f + 832*f**2 + 12*f.
2*f*(f + 5)
Let c(g) be the second derivative of -26/5*g**2 + 0 - 1/15*g**4 - 28/15*g**3 + 27*g. Factor c(w).
-4*(w + 1)*(w + 13)/5
Suppose -10 = 5*x + 5. Let y(t) = 8*t - 6. Let k(z) = -1. Let p(s) = s**2 + 9*s - 5. Let f(h) = 2*k(h) + p(h). Let b(c) = x*y(c) + 2*f(c). Factor b(m).
2*(m - 2)*(m - 1)
Let n(f) be the third derivative of f**10/6048 + f**9/1512 + f**8/1344 - 2*f**4/3 - 14*f**2. Let p(c) be the second derivative of n(c). Factor p(y).
5*y**3*(y + 1)**2
Let t(y) = y**3 + 3*y**2 - 35*y - 100. Let c be t(-6). Solve -2/5*h + 2/5*h**3 - 2/5 + 2/5*h**c = 0.
-1, 1
Let k(i) be the third derivative of -5/6*i**4 - 2/3*i**5 - 1/42*i**7 + 0*i + 24 + 0*i**3 - 2*i**2 - 5/24*i**6. Factor k(q).
-5*q*(q + 1)*(q + 2)**2
Suppose 34 + 18 = 26*p. Let q(c) be the first derivative of -2/5*c**5 + 2 - 2*c**p + 0*c - 1/3*c**6 + 3/2*c**4 + 2/3*c**3. Let q(l) = 0. Calculate l.
-2, -1, 0, 1
Let h(k) be the third derivative of k**7/2520 + k**6/180 + 5*k**4/8 + 13*k**2. Let s(c) be the second derivative of h(c). Factor s(o).
o*(o + 4)
Factor -44/3*c**3 + 0 + 196*c + 4/3*c**4 + 28/3*c**2.
4*c*(c - 7)**2*(c + 3)/3
What is f in -32/9*f**3 - 2/9*f**4 + 4/9*f**2 + 352/3*f - 242 = 0?
-11, 3
Let b(c) be the first derivative of c**5 - 25*c**4/4 - 70*c**3/3 + 183. What is v in b(v) = 0?
-2, 0, 7
Factor -111/5*w**2 - 9/5*w + 38/5*w**3 + 0.
w*(w - 3)*(38*w + 3)/5
Let q = -206 + 209. Let n(p) be the second derivative of 0 - 1/80*p**5 + 2*p - 1/12*p**q + 0*p**2 + 1/16*p**4. Factor n(b).
-b*(b - 2)*(b - 1)/4
Let g(f) be the first derivative of 6 + 0*f**2 - 1/30*f**4 - 1/45*f**6 + 4/75*f**5 + 0*f**3 + 0*f. Factor g(d).
-2*d**3*(d - 1)**2/15
Suppose -4*j - 8 = 4*t, 22*t - 23*t - 4*j = 20. Suppose 2/9*l**t - 10/9*l**2 + 0*l**3 + 0*l + 8/9 = 0. Calculate l.
-2, -1, 1, 2
Let p be -4 - (-8 + (-1 - -5)). Let u(a) be the second derivative of -a + 0*a**2 + p*a**4 - 1/21*a**3 + 1/70*a**5 + 0. Solve u(r) = 0.
-1, 0, 1
Suppose 0 = -2*z + 43 - 3. Determine l, given that z - 194*l**3 + 105*l**2 + 30*l**2 + 120*l + 184*l**3 - 45*l**4 = 0.
-1, -2/9, 2
Let p(r) be the second derivative of r**5/120 + r**4/72 - 65*r**3/36 - 75*r**2/4 - 169*r. Solve p(s) = 0.
-5, 9
Let g = 1/31 + -29/1860. Let n(d) be the third derivative of 0*d + 3*d**2 + 0*d**3 + g*d**5 + 0 - 1/24*d**4. Solve n(b) = 0.
0, 1
Suppose -21*p - 20*p + 13*p = 0. Let s(c) be the third derivative of 1/240*c**5 - 1/840*c**7 - 1/240*c**6 + 0*c**3 + p*c + 0 + 7*c**2 + 1/48*c**4. Factor s(q).
-q*(q - 1)*(q + 1)*(q + 2)/4
Suppose -137*r + 149*r = 0. Let r*a**2 - 1/2*a + 1/8*a**3 + 0 = 0. What is a?
-2, 0, 2
Let z be (18/(-50))/(1 + (-16)/10). Let l(p) be the second derivative of p**3 + 0 - 1/4*p**4 - z*p**5 + 3/10*p**6 - 5*p + 0*p**2. Factor l(m).
3*m*(m - 1)**2*(3*m + 2)
Let u = -1102/77 - -170/11. Let t = 260 - 1816/7. Find d, given that 4/7*d**3 - u*d**2 + 6/7 + 2/7*d**4 - t*d = 0.
-3, -1, 1
Let v = -45 + 47. Let m**v + 4*m**2 - 6*m - 7*m**2 - m**2 = 0. Calculate m.
-2, 0
Let o be -3 + (-17 - (-4 - -1)). Let j = o - -21. Suppose -x + j*x**2 - 2*x + 3 - 3*x - x**2 = 0. Calculate x.
1
Let m(q) = 23*q**2 - 500*q + 6554. Let r(y) = 7*y**2 - 166*y + 2185. Let t(w) = -2*m(w) + 7*r(w). Factor t(l).
3*(l - 27)**2
Suppose -4*l - 55 = -63. Factor 112*f + 32 + 77*f**2 + 36*f**3 - 37*f**2 + 80*f**l.
4*(f + 2)*(3*f + 2)**2
Let s be (-25)/(-450)*(-6)/(-8)*4. Factor -1/6*c**4 - 1/6*c**3 + s*c**5 + 0*c + 1/6*c**2 + 0.
c**2*(c - 1)**2*(c + 1)/6
Let t(i) = 4*i**3 + 4*i**2 - 10*i - 13. Let x(m) = -4*m**3 - 4*m**2 + 12*m + 14. Let j(y) = 2*t(y) + 3*x(y). Find d such that j(d) = 0.
-2, -1, 2
Let k be 8/(40/(-3)) + (-6)/(-10). Let s(o) be the first derivative of -1/18*o**3 - 1/12*o**2 - 1 + k*o. Suppose s(j) = 0. Calculate j.
-1, 0
Let s(f) = -f**2 - 45*f + 10. Let n(q) = 5*q + 1. Let p(y) = 30*n(y) + 5*s(y). Solve p(z) = 0.
-16, 1
Let b(t) be the third derivative of 1/510*t**5 + 0 + 3*t**2 - 1/51*t**4 + 0*t + 1/17*t**3. Factor b(y).
2*(y - 3)*(y - 1)/17
Let x(c) be the first derivative of 1/6*c**4 + 1/15*c**5 - 1/3*c**2 - 1/3*c - 7 + 0*c**3. Determine i so that x(i) = 0.
-1, 1
Let l be (-7)/(-1)*(50/(-14))/(-5). Let t(i) be the second derivative of 1/18*i**l + 2*i + 0*i**2 + 0 + 1/135*i**6 + 4/27*i**4 + 4/27*i**3. Factor t(j).
2*j*(j + 1)*(j + 2)**2/9
Factor -5/7*f**3 + 8/7*f**2 - 1/7*f**4 + 12/7*f + 0.
-f*(f - 2)*(f + 1)*(f + 6)/7
Let l(f) be the second derivative of 0*f**2 - 4*f + 1/36*f**4 + 0 - 1/6*f**3. Factor l(v).
v*(v - 3)/3
Let g be (-9)/(-3) + -4 - -5. Suppose g*q - 18 + 14 = 0. Suppose 3 - 103*j**3 + 45*j**3 + 61*j**2 - 4*j**5 + q - 28*j + 25*j**4 = 0. Calculate j.
1/4, 1, 2
Let k be 2/1*(-7 + 3 + 5). Let y(u) be the first derivative of 1/12*u**k - 1/24*u**4 + 0*u - 8 + 0*u**3. Factor y(j).
-j*(j - 1)*(j + 1)/6
Let p(u) be the third derivative of -16/9*u**3 + 0*u + 13*u**2 + 14/9*u**4 + 0 - 14/45*u**5 - 1/6*u**6. Determine o, given that p(o) = 0.
-2, 2/5, 2/3
Suppose 0 = -35*u + 30*u + 30. Suppose 0 = -5*t - 2*w + 15, 4*w - 15 = -u*t + t. Factor 1 - 3/4*s**2 + 0*s - 1/4*s**t.
-(s - 1)*(s + 2)**2/4
Let p(b) be the third derivative of -b**7/840 - b**6/40 - b**5/40 + 13*b**4/24 - 11*b**3/8 - 370*b**2. Factor p(f).
-(f - 1)**2*(f + 3)*(f + 11)/4
Let a(g) be the first derivative of -g**4/14 - 32*g**3/21 + g**2/7 + 32*g/7 + 24. Let a(t) = 0. What is t?
-16, -1, 1
Suppose -8*h + 6*h = 0. Suppose -5*c + 3*y + 8 + 2 = 0, 4*y = h. Find p, given that 10/7*p + 4/7 - 6/7*p**c = 0.
-1/3, 2
Let z(i) be the third derivative of 0 - 13*i**2 + 0*i**3 - 1/27*i**4 + 0*i + 1/270*i**5. Factor z(c).
2*c*(c - 4)/9
Suppose -4*c = -4*i + 2*i - 36, -6 = 3*c. Let a be (1/(-2))/(i/88). Determine h so that 9/4*h**3 - 2*h + 1 - 3/4*h**a = 0.
-1, 2/3
Suppose -863 = -198*t + 127. Let x be (-4)/(-33)*(-3)/(-2). Factor 8/11*p**4 + 12/11*p**3 + 0 + 2/11*p + x*p**t + 8/11*p**2.
2*p*(p + 1)**4/11
Let h be 2/(-10) + 152/10. Let d be 2/h*-3*-5. Factor -2 - 10 - 5*l - 3*l**2 - d*l - 5*l.
-3*(l + 2)**2
Let w be (-336)/(-18) + -18 + (-14)/(-6). Suppose -3*i + 7 - 1 = 0. Determine a, given that 1/5*a**w + 0*a**i - 2/5 - 3/5*a = 0.
-1, 2
Factor -7*b**4 + b**5 + 16*b**2 - 2*b**3 + 15*b**2 + 16*b**2 + 6*b**3 - 35*b**2.
b**2*(b - 6)*(b - 2)*(b + 1)
Let g(x) = x**2 + x - 9. Let j be g(-4). Factor -4*l**3 + 192*l**2 - 188*l**2 + 0*l**j.
-4*l**2*(l - 1)
Let n(q) = -7*q**4 + 9*q**3 + 10*q**2 - 2*q + 2. Let a(z) = -114*z**4 + 144*z**3 + 159*z**2 - 33*z + 33. Let p(k) = 2*a(k) - 33*n(k). Factor p(x).
3*x**2*(x - 4)*(x + 1)
Let y(g) = 2*g**4 - 2*g**3 - 10*g**2 - 2*g. Let u(v) = v**3 + v**2 + v. Let r(d) = -2*u(d) - y(d). Factor r(n).
-2*n**2*(n - 2)*(n + 2)
Let f(l) = 20*l**2 - 3*l - 1. Let t(v) = -7*v**2 + v. Let q(k) = k - 14. Let z be q(8). Let n(x) = z*f(x) - 17*t(x). Factor n(b).
-(b - 3)*(b + 2)
Let b be 5 - (52 + -54)*(0 + -1). Factor -25*j**b + 30*j**2 - 7*j + 1/2 - 125/2*j**4.
-(j + 1)*(5*j - 1)**3/2
Let s be 1/(91/84 - (-4)/16). Let k(m) be the first derivative of s*m**4 - 2 + 12/7*m - 18/7*m**2 - 9/7*m**3. What is q in k(q) = 0?
-1, 2/7, 2
Let i be (18/8 - (-2)/8)*(-542)/(-8130). Let p(v) = v + 7. 