s.
-s**2*(s + 8)**2/2
Factor -23/3*l**3 - 25/3*l + 49/3*l**2 - 1/3*l**4 + 0.
-l*(l - 1)**2*(l + 25)/3
Let q(p) be the second derivative of 9*p**5/10 - 17*p**4/4 - 5*p**3/2 + 9*p**2 - 960*p. Factor q(o).
3*(o - 3)*(2*o - 1)*(3*o + 2)
Let c be (272/40 + -6)*(-1 - (-27)/7). Factor -4/7*m + c - 2/7*m**2.
-2*(m - 2)*(m + 4)/7
Let b(r) = -28*r**3 - 24*r**2 + 8*r + 4. Let f be b(-1). Factor f + 18/7*l**2 + 44/7*l.
2*l*(9*l + 22)/7
Solve 70 - 186*u + 175/2*u**2 + 48*u**3 + 9/2*u**4 = 0 for u.
-7, -5, 2/3
Factor -320/19*x + 28/19*x**2 + 2/19*x**3 + 704/19.
2*(x - 4)**2*(x + 22)/19
Let c be (8 - -6) + (18 - 26). Let a(b) be the third derivative of 0*b + 1/180*b**c + 1/30*b**5 - 5*b**2 + 1/18*b**4 + 0*b**3 + 0. Factor a(f).
2*f*(f + 1)*(f + 2)/3
Let q(p) be the second derivative of p**6/120 - p**5/16 - p**4/8 + 6*p + 47. Solve q(n) = 0.
-1, 0, 6
Let c(j) be the second derivative of j**7/630 - j**6/90 - j**4/6 - 21*j**3 + 154*j. Let o(t) be the third derivative of c(t). Determine i, given that o(i) = 0.
0, 2
Let q(k) = -3*k + 27. Let t be q(9). Suppose -6*f - 3*f + 18 = t. Find j, given that 3*j**2 + 13*j**5 + 14*j**5 - f*j - 4*j**4 - 25*j**5 + j**2 = 0.
-1, 0, 1
Let s(a) be the third derivative of a**5/12 - 725*a**4/12 - 485*a**3/2 - 453*a**2. Factor s(w).
5*(w - 291)*(w + 1)
Let r(x) be the first derivative of 0*x + 2/33*x**3 - 1/22*x**4 + 0*x**2 + 1/33*x**6 - 12 - 2/55*x**5. Suppose r(c) = 0. Calculate c.
-1, 0, 1
Suppose -68 = -24*s - 72 + 124. Let c(w) be the second derivative of -2*w**2 + 25*w - 1/2*w**s + 0 - 1/15*w**6 - 3/2*w**4 - 7/3*w**3. Factor c(m).
-2*(m + 1)**3*(m + 2)
Let d be (23/3910*-17)/((170/220)/(-17)). Factor 1/5*r**2 + 0 - d*r.
r*(r - 11)/5
Let x(s) = -s**3 + 7*s**2 - 7*s + 7. Let o be x(6). Let f(l) = -l + 3. Let t be f(o). Factor d**3 + 4*d**3 + 20*d**t + d + 14*d.
5*d*(d + 1)*(d + 3)
Let i(a) = -10*a**3 + 96*a**2 + 18*a - 96. Let x(b) = 6*b**3 - 64*b**2 - 11*b + 64. Let c(m) = -5*i(m) - 8*x(m). Factor c(t).
2*(t - 1)*(t + 1)*(t + 16)
Suppose -16 - 44 = -5*y. What is p in -44 + 37*p + 3*p + y*p**2 + 12 + 0*p**2 = 0?
-4, 2/3
Let l = 200414 + -200409. Factor -10*b**4 + 45*b**2 + 0 + 0*b + 15/2*b**3 - 5/2*b**l.
-5*b**2*(b - 2)*(b + 3)**2/2
Let x = 24 + -22. Let p(k) = -2*k**4 + 2*k**3 + k**2 + k + 1. Let t(j) = j**4 - j**3 - j**2 - j - 1. Let a(z) = x*t(z) + 2*p(z). Factor a(u).
-2*u**3*(u - 1)
Let y(h) be the first derivative of -h**6/6 - 25*h**5/2 - 57*h**4/8 + 311*h**3/6 + 59*h**2/4 - 93*h - 6347. Find q such that y(q) = 0.
-62, -3/2, -1, 1
Let x be -12 + 37/2 - (-3)/(-2). Let v be (-7672)/(-520) - 14 - 3/x. Factor 4/13*m**3 + 0*m + 2/13*m**4 + v*m**2 + 0.
2*m**2*(m + 1)**2/13
Let k(m) = -15*m**3 + 310*m**2 - 9163*m + 83791. Let w(y) = 4*y**3 - 77*y**2 + 2291*y - 20947. Let j(s) = -6*k(s) - 22*w(s). Find i, given that j(i) = 0.
26, 31
Let b be (2/3)/(-210 + 211). Let x(s) be the first derivative of -38 - b*s**3 + 2*s + 0*s**2. Determine d, given that x(d) = 0.
-1, 1
Let i(u) = -9*u - 3. Let z(j) = 3*j + 1. Let f(o) = 4*i(o) + 11*z(o). Let h be f(-1). Factor 4*r - h*r**3 - 2*r**2 + 2*r**3 - 2*r**3.
-2*r*(r - 1)*(r + 2)
Let s(u) = 121*u - 240. Let h be s(2). What is b in 10/23*b + 12/23 + 2/23*b**h = 0?
-3, -2
Let t(i) be the second derivative of i**4/18 - 14*i**3/9 + 11*i**2 - i - 266. Determine q so that t(q) = 0.
3, 11
Suppose 5*l + 24 = -y, -5*y = -2*y + 5*l + 22. Find f, given that -1 + f**2 - 394*f + 380*f + y = 0.
0, 14
Let w = 641975 - 1925924/3. Factor 2*s**2 + 0 + 0*s + w*s**4 - 5/3*s**3.
s**2*(s - 3)*(s - 2)/3
Let o(k) be the first derivative of -k**4/6 - k**3/6 + 3*k**2/2 - 11*k/6 + 1983. Factor o(m).
-(m - 1)**2*(4*m + 11)/6
Let 5*f - 412*f**4 + 93 + 57 + 55 + 2085*f**3 - 15*f**5 - 1230*f**2 - 475*f**3 - 163*f**4 = 0. What is f?
-41, -1/3, 1
Let c be (-48)/312 - ((-9486)/(-26) - 1). Let z = -361 - c. Factor -14/13*o - 4/13 + 14/13*o**z + 4/13*o**2.
2*(o - 1)*(o + 1)*(7*o + 2)/13
Let d(j) be the second derivative of -j**4/12 - 245*j**3/3 - 60025*j**2/2 - 5*j + 42. Factor d(v).
-(v + 245)**2
Suppose -14*i - 118 = -314. Find p, given that 3*p**3 - i*p - p**3 + 2*p + 8*p**2 + 2*p**3 = 0.
-3, 0, 1
Let i(z) = -248*z + 25048. Let d be i(101). What is h in -1/3*h**5 - h**4 + 0*h**2 + 0*h + d - 2/3*h**3 = 0?
-2, -1, 0
Factor -2604*b**2 - 21*b**3 + 181*b + 5348*b**2 + 207*b - 2656*b**2 - 168 + b**3.
-4*(b - 7)*(b + 3)*(5*b - 2)
Let u be (0 - 0)*((-110)/(-11) + -11). What is g in -2 + u*g**3 + 0*g**3 + g + 9*g**3 - 10*g**3 + 2*g**2 = 0?
-1, 1, 2
Let -23/4*i + 5 - 31/4*i**2 - 3/2*i**3 = 0. Calculate i.
-4, -5/3, 1/2
Let h(p) be the second derivative of p**4/4 + 943*p**3 - 5661*p**2/2 - 344*p - 7. What is i in h(i) = 0?
-1887, 1
Let x = 2019 - 2017. Suppose 2*b - j = -2*b + 1, -5*j = x*b + 5. Factor 1/3*f**3 + 2/3*f**2 - 1/3*f**4 + b + 0*f.
-f**2*(f - 2)*(f + 1)/3
Let d(i) = 2*i**2 + 2*i + 1. Let b(u) = 9*u**2 + 158*u - 190. Let p(o) = 5*b(o) - 10*d(o). Let p(g) = 0. What is g?
-32, 6/5
Suppose -29*g + 138*g - 323 = 4. Let v(t) be the third derivative of t**4 + 1/60*t**6 + 17*t**2 + 1/5*t**5 + 0*t + 8/3*t**g + 0. Factor v(d).
2*(d + 2)**3
Let a be (((-867)/18)/(-17))/((-16)/32) + 6. Suppose -a - 1/6*r + 37/6*r**3 + 13/3*r**2 + 2*r**4 = 0. What is r?
-2, -1, -1/3, 1/4
Let n(x) be the second derivative of 0 + 1/45*x**5 - 82*x + 4/3*x**2 - 14/27*x**3 + 0*x**4. What is c in n(c) = 0?
-3, 1, 2
Let s(b) = -2*b**3 + 2. Suppose 6*q + 481 - 469 = 0. Let t(w) = -12*w**3 - 4*w**2 + 14. Let a(h) = q*t(h) + 14*s(h). Factor a(r).
-4*r**2*(r - 2)
Suppose -145*n - 318 = -198*n. Let v(u) be the third derivative of -1/21*u**7 + 30*u**2 + 1/4*u**5 + 5/12*u**4 + 0 + 0*u + 0*u**3 - 1/8*u**n. Solve v(f) = 0.
-2, -1/2, 0, 1
Let p(h) be the second derivative of h**4/6 - 148*h**3/3 + 576*h**2 - 422*h. Let p(g) = 0. Calculate g.
4, 144
Let k(z) = -z**3 - 27952*z**2 + 7*z + 27952*z**2 + 15 - 6. Let o be k(-2). Factor 0 + 448/5*a**4 - 68/5*a**2 - 32/5*a**o + 12/5*a.
4*a*(4*a - 1)**2*(7*a + 3)/5
Let g = 20733 + -20730. Factor -2/7*q**g - 2/7*q**2 - 6/7 + 10/7*q.
-2*(q - 1)**2*(q + 3)/7
Let x(b) = -5028*b + 3*b**2 + 5018*b - 2*b**2 + 26. Let n be x(4). Let 9/5*z**4 + 0 + 0*z**n + 0*z + 6/5*z**3 + 3/5*z**5 = 0. Calculate z.
-2, -1, 0
Find l, given that 104/17 - 138/17*l**2 + 880/17*l + 2*l**4 - 880/17*l**3 = 0.
-1, -2/17, 1, 26
Let t(s) be the second derivative of s**6/15 + 13*s**5/10 - 2*s**4/3 - 52*s**3/3 + 5941*s. Solve t(w) = 0.
-13, -2, 0, 2
Let w = -3959 + 3962. Let n(a) be the first derivative of 1/18*a**6 + 2/9*a + 1/6*a**2 - 4/27*a**w - 23 + 2/45*a**5 - 1/6*a**4. Suppose n(k) = 0. What is k?
-1, -2/3, 1
Let i(p) = p**3 + 23*p**2 + 22*p - 20. Let a be i(-22). Let d = a + 20. Factor 1/2*w**3 + d*w**2 - 1/2*w + 0.
w*(w - 1)*(w + 1)/2
Let c be (1096/822)/((-998)/144 + 7). Determine w, given that 69/5*w**3 - 39/5*w**4 + 12/5 - 21/5*w**5 - c*w + 15*w**2 = 0.
-2, 1/7, 1
Let w be ((-54)/14 + 4)*14. Let a(v) be the first derivative of 17 - 2*v**w + 2/3*v**3 + 0*v. Let a(n) = 0. Calculate n.
0, 2
Let r(m) be the first derivative of 278*m**5/25 + 418*m**4/5 + 842*m**3/5 + 574*m**2/5 + 16*m/5 + 2487. Find i such that r(i) = 0.
-4, -1, -2/139
Factor -5*b**3 - 114419 + 17339 - 83605 + 655*b**2 - 18975*b + 14050.
-5*(b - 69)**2*(b + 7)
Let g(c) = -5*c + 34. Let v be g(15). Let n = v + 43. Factor -4/7*o - 2/7*o**n + 6/7.
-2*(o - 1)*(o + 3)/7
Let i(t) be the second derivative of -t**4/4 + 384*t**2 - 10385*t. Factor i(k).
-3*(k - 16)*(k + 16)
Let g = 5307738/5 - 1061547. Factor -g*i - 2/5 - 1/5*i**2.
-(i + 1)*(i + 2)/5
Solve 2/9*c**4 - 158/9*c - 22*c**2 + 364/9 - 10/9*c**3 = 0 for c.
-7, -2, 1, 13
Let b(t) = -14*t**2 - 12*t + 85. Let w(l) = 3*l**2 - 2*l. Let i(y) = -2*b(y) - 10*w(y). Factor i(d).
-2*(d - 17)*(d - 5)
Let p = -1410007/19 + 74245. Factor -p - 72/19*a - 2/19*a**2.
-2*(a + 18)**2/19
Let u(f) be the second derivative of f**5/60 - f**4/9 - 17*f**3/18 + 10*f**2 + 613*f + 2. Let u(j) = 0. Calculate j.
-4, 3, 5
Let y(w) be the second derivative of 2*w**3 + 3/40*w**5 + 3*w**2 + 17*w + 5/8*w**4 + 5. Factor y(g).
3*(g + 1)*(g + 2)**2/2
Let a(k) be the second derivative of k**5/80 + 9*k**4/16 - 31*k**3/6 + 182*k - 10. Suppose a(y) = 0. What is y?
-31, 0, 4
Let n(c) = 15*c**2 - 11*c - 13. Suppose 5*a + 6 = 6. Suppose a = 7*l - 11*l + 36. Let w(p) = -7*p**2 + 5*p + 