1/2*n**3 + 0 + 2758921/2*n.
n*(n - 1661)**2/2
Let u(i) = -423412*i**2 - 11647*i + 46. Let t(l) = -1270235*l**2 - 34940*l + 120. Let y(g) = -7*t(g) + 20*u(g). What is p in y(p) = 0?
-4/291
Let o = -97090 + 97095. Factor o + 25/3*i**2 - 80/3*i.
5*(i - 3)*(5*i - 1)/3
Suppose -60117/7*g**2 + 2402/7*g**3 - 25/7*g**4 + 115244/7*g - 8836/7 = 0. Calculate g.
2/25, 2, 47
Let u(y) be the first derivative of -4/5*y**5 - 179/3*y**3 - 68 - 51/4*y**4 - 48*y**2 + 36*y. Solve u(a) = 0 for a.
-6, -1, 1/4
Let f = 281460 + -1970182/7. Suppose f*x**2 - 6/7 - 22/7*x**3 - 10/7*x = 0. What is x?
-3/11, 1
Let r(o) = -8*o**2 + 316*o - 317. Let c(m) = 12*m**2 - 316*m + 316. Let g(s) = -3*c(s) - 4*r(s). Let g(j) = 0. What is j?
-80, 1
Let j(z) = 3*z + 30. Let p be j(6). Let m = -40 + p. Determine v, given that 36*v - 4 - 6 - m*v - 8*v**2 - 14 = 0.
3/2, 2
Let w be (-6)/(-65)*9036400/1809945. Let a = w + 2/2943. Determine i so that -a*i**3 - 10/13*i**2 - 2/13*i + 2/13 = 0.
-1, 1/3
Factor 55778/5 + 336/5*n**2 + 1/5*n**3 + 28557/5*n.
(n + 2)*(n + 167)**2/5
Let s(t) = -36 + 4 - 4*t - 35 + 21. Let j be s(-12). Factor 52*f + 67 + 1 - j*f**2 + 270 + 4*f**2.
2*(f + 13)**2
Let u(c) be the first derivative of 0*c - 1/120*c**6 + 8*c**3 - 1/8*c**5 - 1/2*c**4 + 0*c**2 + 24. Let s(x) be the third derivative of u(x). Factor s(j).
-3*(j + 1)*(j + 4)
Let o(w) = 4*w**2 - 108*w - 454. Let h(f) = 5*f**2 - 110*f - 457. Let r(d) = 2*h(d) - 3*o(d). Let r(s) = 0. Calculate s.
-4, 56
Let p(v) = -v**3 + 3*v**2. Let l(o) = -7*o**3 - 159*o**2 - 588*o + 760. Let t(x) = l(x) - 3*p(x). Suppose t(c) = 0. Calculate c.
-38, -5, 1
Suppose 0 = -40*c + 715*c - 562 - 788. Factor 32/7*p - 80/7 + 4/7*p**c.
4*(p - 2)*(p + 10)/7
Factor 2*o**3 + 29/2*o + 43/4*o**2 - 1/4*o**4 + 6.
-(o - 12)*(o + 1)**2*(o + 2)/4
Let o(i) = 31659*i + 190123. Let u be o(-6). Factor 13*t + u + 1/4*t**2.
(t + 26)**2/4
Let m = 4170 - 29185/7. Let m*n**3 + 0 + 1/7*n**4 + 8/7*n**2 + 4/7*n = 0. What is n?
-2, -1, 0
Let x(c) be the first derivative of 2*c**3/27 + 64*c**2/3 + 760*c/9 + 11199. Solve x(m) = 0 for m.
-190, -2
Let w(z) be the first derivative of z**6/240 + 5*z**5/16 + 3*z**4/2 + 179*z**3/3 - 2*z + 62. Let i(g) be the third derivative of w(g). Factor i(x).
3*(x + 1)*(x + 24)/2
Let o be (-450)/(-54) - (8/(-3) + 2). Find q such that 15*q + 5*q**2 - 3*q**3 + 3*q**2 - 4*q**2 - q**2 + o = 0.
-1, 3
Let u(r) = -1083*r + 5417. Let z be u(5). Factor 0*l**z + 2/9*l - 2/9*l**3 + 0.
-2*l*(l - 1)*(l + 1)/9
Suppose 3*z - 1355 = -3*d - 1367, -4*z - 11*d - 58 = 0. Let -z*f**2 - 1/3*f**3 + 1/3*f + 2 = 0. What is f?
-6, -1, 1
Let u(m) be the first derivative of m**3/3 + 291*m**2 + 84681*m - 603. Determine t, given that u(t) = 0.
-291
Suppose 16*g + 36 = 10*g. Let h be g/(-2) + 2/(3 + -5). Factor 2*i**h + 620 - 634 - 4*i - 8*i.
2*(i - 7)*(i + 1)
Let x(l) be the third derivative of -4*l**5/45 - 763*l**4/18 + 382*l**3/9 - 717*l**2. Factor x(g).
-4*(g + 191)*(4*g - 1)/3
Let f(u) = -u**3 - 93*u**2 - 595*u - 13640. Let m be f(-88). Find y, given that 1/4*y**2 + m + 1/8*y + 1/8*y**3 = 0.
-1, 0
Let m(n) be the first derivative of -5*n**4/22 + 368*n**3/11 - 20*n**2 - 939. Solve m(p) = 0 for p.
0, 2/5, 110
Let r(j) = 119*j - 1781. Let n be r(15). Let h(o) be the third derivative of -20*o**2 + 0*o - 7/160*o**5 - 9/320*o**6 + 1/32*o**n + 0*o**3 + 0. Factor h(f).
-3*f*(f + 1)*(9*f - 2)/8
Let m be (18/(-21))/(21/(-56)*4). Suppose 9*r = 139*r. Factor m*k**3 + 0*k**2 - 10/7*k**4 + r*k + 0.
-2*k**3*(5*k - 2)/7
Suppose m - g = -3*g + 2809, -g = -5*m + 14001. What is n in -2 - 2800*n - n**4 + 3*n**3 + 2 + m*n - 3*n**2 = 0?
0, 1
Let y = 16/147 + -422/3577. Let h = y - -1985/1533. Solve 0 - 12/7*k - h*k**3 - 39/7*k**2 = 0.
-4, -1/3, 0
Let u(i) be the third derivative of 0 + 21*i**2 + 4/21*i**4 + 4/3*i**3 + 0*i + 1/210*i**5. Determine n so that u(n) = 0.
-14, -2
Let i = -5433 + 5438. Let x(j) be the first derivative of -16/13*j + 4/13*j**3 - 4/13*j**2 + i - 2/65*j**5 + 1/26*j**4. Find y such that x(y) = 0.
-2, -1, 2
Let p(t) be the second derivative of -t**6/60 - t**5/10 + 13*t**2 - 86*t. Let h(z) be the first derivative of p(z). Factor h(v).
-2*v**2*(v + 3)
Let -14/5 + 12/5*v + 2/5*v**2 = 0. Calculate v.
-7, 1
Let j(u) be the second derivative of u**5/4 + 65*u**4/12 + 30*u**3 + 1924*u. Factor j(q).
5*q*(q + 4)*(q + 9)
Let g(n) be the third derivative of n**5/240 + 37*n**4/48 + 50*n**3 - 6436*n**2. Determine m so that g(m) = 0.
-50, -24
Let t(b) = -9*b**3 - 40*b**2 + 75*b + 122. Let l(i) = 31*i**3 + 121*i**2 - 221*i - 367. Let m(q) = 2*l(q) + 7*t(q). Factor m(o).
-(o - 3)*(o + 1)*(o + 40)
Suppose 5*s + 2*i + 3*i - 40 = 0, 112*i = 114*i - 8. Suppose 0 - 1/4*t**s + 19/2*t**3 - 361/4*t**2 + 0*t = 0. Calculate t.
0, 19
Let i(o) be the first derivative of o**8/560 - o**7/175 + o**5/50 - o**4/40 - 67*o**2/2 + 20. Let k(t) be the second derivative of i(t). Factor k(s).
3*s*(s - 1)**3*(s + 1)/5
Let y(g) = 7*g**2 + 208*g - 2004. Let i(x) = 57*x**2 + 1663*x - 16034. Let u(k) = -2*i(k) + 17*y(k). Solve u(l) = 0.
-50, 8
Let m(d) be the first derivative of -14*d**3/9 + 1985*d**2 + 3404*d/3 + 6095. Factor m(w).
-2*(w - 851)*(7*w + 2)/3
Let v(u) be the second derivative of 1/28*u**4 - 1/14*u**3 + 0*u**2 - 2*u + 2. Factor v(w).
3*w*(w - 1)/7
Factor -121104 + 21576*z - 236*z**2 + 2/3*z**3.
2*(z - 174)**2*(z - 6)/3
Let i = -2735 + 2735. Let x(j) be the second derivative of 1/5*j**4 + 3/100*j**5 + 0*j**2 - 10*j + i + 3/10*j**3. Factor x(w).
3*w*(w + 1)*(w + 3)/5
Let q(h) be the first derivative of -4*h**3/3 + 20*h**2 + 156*h + 1160. Find y such that q(y) = 0.
-3, 13
Let l(j) be the first derivative of 5*j**4/4 + 60*j**3 + 330*j**2 + 640*j - 6583. Factor l(a).
5*(a + 2)**2*(a + 32)
Let c(h) be the first derivative of 2*h**5/45 - 25*h**4/18 - 6*h**3 - 83*h**2/9 - 56*h/9 - 1507. Factor c(v).
2*(v - 28)*(v + 1)**3/9
Let z(t) be the first derivative of 1/21*t**3 + 10/7*t - 74 + 1/2*t**2. Let z(q) = 0. Calculate q.
-5, -2
Let p(t) = -34*t - 426. Let m be p(-46). Let c = m + -5688/5. Suppose 2/5*o**2 + c*o - 4/5 = 0. Calculate o.
-2, 1
Let k(d) be the first derivative of d**6/30 + d**5/6 + d**4/6 + 29*d**2/2 - 7. Let j(s) be the second derivative of k(s). Factor j(i).
2*i*(i + 2)*(2*i + 1)
Suppose -3193*x**3 + 100*x**5 + 1565 - 1431 + 120*x**4 + 2484*x - 720*x**2 + 946 + 129*x**3 = 0. What is x?
-6, -3/5, 1, 5
Factor 1/4*z - 5 + 1/4*z**2.
(z - 4)*(z + 5)/4
Let d(q) be the first derivative of -1/10*q**5 + 0*q - 5/2*q**3 + 131 + 7/4*q**2 + 9/8*q**4. Factor d(l).
-l*(l - 7)*(l - 1)**2/2
Let d(k) be the third derivative of -2883*k**6/200 - 14384*k**5/25 + 1859*k**4/30 - 8*k**3/3 + k**2 - 200*k + 2. Factor d(f).
-(f + 20)*(93*f - 2)**2/5
Let b = 20159/7 + -2879. Let f(i) be the second derivative of -7*i - 5/21*i**4 + 2/3*i**3 + 1/35*i**5 - b*i**2 + 0. Factor f(x).
4*(x - 3)*(x - 1)**2/7
Let v be (84 - 199001/2370) + (-669)/(-180). Factor -1/4*f**3 - 7/4*f - 7/4*f**2 + v.
-(f - 1)*(f + 3)*(f + 5)/4
Let x(a) = -a**3 - 4*a**2 + 22*a + 87. Let v be x(-5). Let 2*r**2 + 2 - 24*r + 8 - 8 - v = 0. Calculate r.
0, 12
Let q(i) be the third derivative of 0*i**3 + 8*i**2 - 1/6*i**4 + 0*i + 0 + 1/20*i**5 + 1/120*i**6. Factor q(v).
v*(v - 1)*(v + 4)
Let u = 631 + -592. Suppose 15*x - u = -9. Factor 2/3 - 2*m**4 + 4/3*m**x - 4/3*m**3 - 2/3*m**5 + 2*m.
-2*(m - 1)*(m + 1)**4/3
Let y be (2/6)/(2/18). Let c = -64694 + 64696. Solve -3/2*o**c + 0*o + 0 - 3/2*o**4 - 3*o**y = 0 for o.
-1, 0
Let a(j) be the first derivative of j**6/2 + 36*j**5/5 - 9*j**4/4 - 34*j**3 + 36*j**2 - 2087. Find o such that a(o) = 0.
-12, -2, 0, 1
Let d(b) = b**2 - b + 6. Let a be d(-5). Factor 3*h**2 - 108 - 3*h**2 - h**2 - 2*h**2 - a*h.
-3*(h + 6)**2
Let d = 120253 - 120251. Factor -1/4*f**d - 1/4*f + 1/4*f**3 + 1/4.
(f - 1)**2*(f + 1)/4
Let r(i) be the first derivative of -i**5 - 25*i**4/4 - 40*i**3/3 - 10*i**2 - 1295. Let r(k) = 0. Calculate k.
-2, -1, 0
Let y(u) = 12*u**3 - 168*u**2 + 358*u + 548. Let i(l) = -4*l**3 + 56*l**2 - 119*l - 182. Let o(p) = 10*i(p) + 3*y(p). Factor o(s).
-4*(s - 11)*(s - 4)*(s + 1)
Factor 22*n - 17 + n**2 + 0*n**2 + 2 - 8.
(n - 1)*(n + 23)
Factor -1/3*f**2 + 274/3 + 45*f.
-(f - 137)*(f + 2)/3
Let j(a) = a**2 - 13*a - 16. Let p be j(24). Let t = p + -246. Solve -2/9*v - 1/3*v**t + 0 - 1/9*v**3 = 0 for v.
-2, -