).
2*(l - 19)*(l - 15)*(l - 1)
Let n = 1/9510 - -3167/28530. Factor 484/9 + 44/9*p + n*p**2.
(p + 22)**2/9
Suppose j - 8 = -m + 4*j, -3*j - 10 = -2*m. Factor -i**2 + 2*i**m + 0*i - 13 + 12*i.
(i - 1)*(i + 13)
Let f(n) be the first derivative of 5*n**4/4 - 290*n**3/3 + 1950*n**2 + 9000*n - 1551. What is x in f(x) = 0?
-2, 30
Let h(p) be the second derivative of -p**7/105 - 11*p**6/75 + 57*p**5/25 + 67*p**4/15 - 253*p**3/3 - 255*p**2 + 3473*p. Solve h(m) = 0 for m.
-17, -3, -1, 5
Let k(a) be the third derivative of a**6/60 - 8*a**5/15 + 17*a**4/4 - 12*a**3 + 17*a**2 + 12*a. Factor k(n).
2*(n - 12)*(n - 3)*(n - 1)
Let p(h) be the first derivative of 3/5*h**5 - 3/4*h**4 + 30 + 6*h - 3*h**3 + 3/2*h**2. Factor p(k).
3*(k - 2)*(k - 1)*(k + 1)**2
Let o(n) = 2*n**2 + 80*n + 90. Let d be o(-39). Let b be d/8 - (-2 + 13/6). Let -y - b*y**2 - 1/3*y**3 + 0 = 0. Calculate y.
-3, -1, 0
Let m(j) = -6*j - 2. Suppose -3*b + 8*b + 10 = 0. Let z be m(b). Factor -17*y + z*y**2 + 20*y - 8*y.
5*y*(2*y - 1)
Let n be (-2)/(-3)*(-6 + 12). Suppose 0 = 51*g - 50*g - n. Determine a, given that g*a - 5*a**3 + 4*a**2 - 12 + 6*a + 3*a**3 = 0.
-2, 1, 3
Find p such that -80/3 + 52/9*p - 2/9*p**3 + 10/9*p**2 = 0.
-5, 4, 6
Let q(z) be the first derivative of z**6/1620 + z**5/45 + 26*z**3/3 - 2*z - 86. Let f(n) be the third derivative of q(n). Factor f(b).
2*b*(b + 12)/9
Let u(r) be the first derivative of -15 + 3/20*r**5 - 1/45*r**6 + 0*r - 3*r**3 - 1/6*r**4 + 0*r**2. Let o(l) be the third derivative of u(l). Solve o(t) = 0.
1/4, 2
Determine q so that -4/3*q**3 - 637 - 130/3*q**2 + 1036/3*q + 1/3*q**4 = 0.
-13, 3, 7
Let s(f) = 71322*f - 70422. Let p be s(1). Factor p + 1/4*g**2 - 30*g.
(g - 60)**2/4
Factor 5013/5*q + 3/5*q**2 - 5016/5.
3*(q - 1)*(q + 1672)/5
Let w(y) be the first derivative of 1/12*y**4 - 1/45*y**5 + 34 + 0*y + 0*y**2 + 1/540*y**6 + 28/3*y**3. Let t(z) be the third derivative of w(z). Factor t(u).
2*(u - 3)*(u - 1)/3
Let l(h) be the third derivative of -1/10*h**6 + 2/105*h**7 - 3*h + 0*h**3 - 1/6*h**4 + 1/5*h**5 + 0 - 3*h**2. Suppose l(x) = 0. What is x?
0, 1
Let r(x) be the second derivative of x**4/3 - 2*x**3 - 680*x**2 + 3758*x. Find i, given that r(i) = 0.
-17, 20
Let u(b) be the first derivative of 27 + 2/7*b + 10/7*b**2 + 50/21*b**3. Let u(i) = 0. What is i?
-1/5
Let j be (-2)/(-10) + ((-265)/(-400) - (-26)/(-9152)*22). Let r be 1 - -2 - (-2)/(-2). Factor 4/5*f**3 - 4/5 - 4/5*f + j*f**r.
4*(f - 1)*(f + 1)**2/5
Let b(g) be the first derivative of 3*g**6/2 + 11*g**5/5 - 25*g**4/4 - 17*g**3 - 14*g**2 - 4*g - 713. Factor b(i).
(i - 2)*(i + 1)**3*(9*i + 2)
Let h(g) be the third derivative of -g**5/90 + 10*g**4/9 - 13*g**3/3 - 269*g**2 + 4. Let h(i) = 0. What is i?
1, 39
Let n be (-41 - -38)/(14*5). Let g = n + 47/280. Factor 1/2*w**2 + g + 5/8*w.
(w + 1)*(4*w + 1)/8
Let k(r) be the third derivative of r**6/72 + 3*r**5/8 + 41*r**3/3 + 66*r**2 + 1. Let u(b) be the first derivative of k(b). Solve u(g) = 0 for g.
-9, 0
Let g(i) be the first derivative of -i**6/2160 - i**5/48 - 13*i**4/72 - 8*i**3/3 + 22. Let c(s) be the third derivative of g(s). Factor c(n).
-(n + 2)*(n + 13)/6
Suppose -3*m + 11*m = -57*m + 30*m. Find z, given that m - 3/4*z**2 - 1/4*z**4 + 0*z + z**3 = 0.
0, 1, 3
Let h(q) = q**2 + 19*q + 59. Let g(n) = -2*n**2 - 48*n - 148. Let w(i) = -7*i - 30. Let m be w(-6). Let s(j) = m*h(j) + 5*g(j). Solve s(d) = 0.
-2, 8
Let i(u) = 2*u**3 - 5*u**2 + 4*u + 10. Let d be i(3). Factor -11 + d + 18*x - x**2 - x**2.
-2*(x - 10)*(x + 1)
Let v(g) = -3*g + 35. Let b be v(10). Determine z, given that 11*z**5 + 6*z**b + 6*z**5 - 28*z**5 = 0.
0
Solve -460*u**2 - 51*u**3 + 27*u**4 + 656*u**2 + 48*u - 403*u**2 + 3*u**5 + 180 = 0 for u.
-10, -2, -1, 1, 3
Let q be (-33 - (-35 + 2))/2. Factor -4/7*a**2 + 48/7*a + q.
-4*a*(a - 12)/7
Suppose z = -4*p - 13, p = -2*z + 3 - 1. Determine n so that -24 - 81*n**z - 108*n - 12 - 150*n**2 + 12 - 15*n**4 = 0.
-2, -1, -2/5
Determine i, given that 676/5*i**2 + 4816/5*i + 24/5*i**3 + 784/5 = 0.
-14, -1/6
Let c(i) be the third derivative of i**8/100800 + i**7/252 + 25*i**6/36 + i**5/30 - 97*i**3/6 - 128*i**2. Let b(r) be the third derivative of c(r). Factor b(l).
(l + 50)**2/5
Factor -182*c + 244 + 21*c - 3*c**2 + 7*c**2 - 2*c**2 - 85*c.
2*(c - 122)*(c - 1)
Let r(l) be the second derivative of -147 - 4/15*l**6 + 2*l**2 + 1/3*l**4 - 2/5*l**5 + 2*l - 1/21*l**7 + 5/3*l**3. Factor r(d).
-2*(d - 1)*(d + 1)**3*(d + 2)
Let s(l) = 156*l**3 - 199*l**2 + 224*l - 10. Let d(x) = 516*x**3 - 663*x**2 + 747*x - 33. Let r(v) = -10*d(v) + 33*s(v). Suppose r(g) = 0. Calculate g.
0, 2, 13/4
What is b in -2/9*b**3 - 2*b**2 + 176/3 + 92/9*b = 0?
-11, -4, 6
Suppose 4*i - j = 98, -4*i = -0*i - 4*j - 104. Suppose -8 = 4*y - i. Factor 5*f**3 + 6*f**y - 4*f**4 - 16*f - 6*f**4 + 7*f**3.
-4*f*(f - 2)**2*(f + 1)
Let b be -1*(-2)/9 - (-575)/45. Suppose -11*q + 20 = -b. Factor 24*h**2 + h**2 - 243*h + 0*h**q + 15 + 208*h - 5*h**3.
-5*(h - 3)*(h - 1)**2
Suppose 3239*g - 3233*g = 132. Suppose -3*m - 5*m**2 + 21*m**3 + 8 + m - g*m**3 = 0. Calculate m.
-4, -2, 1
Let l(y) = 5*y**2 - 157*y - 2770. Let r be l(44). Factor -6/5*n - 9/5 - 1/5*n**r.
-(n + 3)**2/5
Solve 0*f + 105/4*f**3 - 55/2*f**2 + 0 + 5/4*f**4 = 0.
-22, 0, 1
Let k(j) be the first derivative of 5*j**4/12 + 95*j**3/9 + 95*j**2 + 360*j - 3898. Factor k(y).
5*(y + 4)*(y + 6)*(y + 9)/3
Factor -3/7*p**2 - 3216/7 - 1614/7*p.
-3*(p + 2)*(p + 536)/7
Suppose -z - 4*l + 5*l = -36, -6*z = -l - 186. Find n such that -3/2*n**2 - z*n + 15/2*n**3 + 6 = 0.
-2, 1/5, 2
Let p = -308 + 323. Let y be (((-16)/p)/(-8))/(7/105). Let -4/7*r**3 + 0 - 5/7*r**y - 1/7*r = 0. What is r?
-1, -1/4, 0
Let z = -192706/7 + 27534. Solve 6/7*w**2 + z*w - 2/7*w**4 - 12/7*w**3 - 24/7 = 0 for w.
-6, -2, 1
Let w(c) be the first derivative of -c**4/12 - 1105*c**3/9 + 2216*c**2/3 - 4436*c/3 + 2184. Let w(u) = 0. What is u?
-1109, 2
Let l = 618598 + -618596. Determine n, given that -2/9*n**5 + 0*n - 4/3*n**l - 2/9*n**3 + 8/9*n**4 + 0 = 0.
-1, 0, 2, 3
Let a be 12/30 - ((-159)/15 + 1). Factor -9*u**2 - a*u + 0 + u**2 - 4*u**2 - 2.
-2*(2*u + 1)*(3*u + 1)
Let j(b) = -25*b**2 - 13410*b + 7420. Let l(m) = -4*m**2 - 2235*m + 1240. Let r(p) = -6*j(p) + 35*l(p). Suppose r(w) = 0. What is w?
-224, 1/2
Let y be (89/156 - 8/48) + (-26)/169. Find p such that -2*p + y*p**3 - 7/4*p**2 + 0 = 0.
-1, 0, 8
Suppose 0 = 31*i + 41 - 227. Let q be (8/i)/((30/4)/5). Solve -q*h + 4/9*h**2 + 4/9 = 0.
1
Let l(i) = -2*i**3 - 68*i**2 + 74*i + 143. Let x be l(-35). What is h in 0 - 3/2*h**2 + x*h**4 + 0*h - 21/4*h**3 = 0?
-1/4, 0, 2
Let h = 542726 - 1628174/3. Determine o so that -h*o - 2/3 - 2/3*o**2 = 0.
-1
Let w(v) = 12*v**2 + 2*v + 550. Let u(j) = j**2 + j + 67. Let a(s) = -10*u(s) + w(s). Factor a(c).
2*(c - 10)*(c + 6)
Solve -140/13*f - 42/13*f**2 + 2/13*f**3 - 96/13 = 0.
-2, -1, 24
Let z(q) be the second derivative of 7*q**6/30 + 4*q**5/15 - 93*q**2/2 - 81*q. Let p(m) be the first derivative of z(m). Factor p(d).
4*d**2*(7*d + 4)
Let p(x) be the third derivative of 7*x**5/15 - 1070*x**4/3 - 408*x**3 - 1441*x**2 + 2*x. Factor p(k).
4*(k - 306)*(7*k + 2)
Let j be 2*(-14)/4 + 42 + -39. Let x be j/(-14) + (-1626)/(-336) + -5. Factor 0 - 1/4*i**2 + 1/4*i**4 + x*i**3 - 1/8*i.
i*(i - 1)*(i + 1)*(2*i + 1)/8
Let w(k) be the second derivative of -k**6/30 - 17*k**5/20 + k**4/4 + 53*k**3/6 + 17*k**2 - 6*k - 365. Solve w(a) = 0 for a.
-17, -1, 2
Let s be (-3 - 7/14)*(-84)/(-49). Let h(v) = 153*v + 918. Let o be h(s). Let 0 + 0*b**4 + 0*b**2 + o*b + 8/13*b**3 - 2/13*b**5 = 0. What is b?
-2, 0, 2
Suppose -u = -58*x + 53*x + 77, 3*u - 521 = -32*x. Solve -x*p + 10 + 3/2*p**2 = 0.
2/3, 10
Suppose 4*j = -4*n + 176 + 152, 2*n = 3*j - 236. Let c be (-6)/(-4)*j/180. Factor 0*m**2 - 4/9 - c*m + 2/9*m**3.
2*(m - 2)*(m + 1)**2/9
Let k(g) be the third derivative of -g**9/161280 - g**8/7680 - g**7/1344 + 63*g**5/20 + 2*g**2 - 9. Let s(a) be the third derivative of k(a). Solve s(f) = 0.
-5, -2, 0
Let b = -595 + 595. Let n(r) be the third derivative of 0*r**3 + b + 7/360*r**6 - 1/18*r**4 + 1/15*r**5 + 31*r**2 + 0*r. Factor n(q).
q*(q + 2)*(7*q - 2)/3
Suppose -119*r + 114*r = -25. Suppose 3*q - 2*n - 19 = 0, -13 = 2*q + r*n + 6. Solve 6/17*k**2 - 4/17*k - 6/17 + 4/17*k**q = 0 for k.
-3/2, -1, 1
Let o = 