/4*n**3.
n**2*(n - 384)/4
Suppose -40 = -33*j + 28*j - 5*g, -2*j - 3*g = -20. Let t(r) be the second derivative of j*r**2 - 1/5*r**5 + 0 + 6*r + 2*r**3 + 0*r**4. Factor t(q).
-4*(q - 2)*(q + 1)**2
Suppose 88 = 3*w + 82. Find h, given that 10*h - 26*h + 4*h**3 + 302*h**4 + 12*h**2 - 306*h**4 + 4*h**w = 0.
-2, 0, 1, 2
Let z(k) be the third derivative of 5*k**7/42 - 33*k**6/8 + 109*k**5/4 - 1885*k**4/24 + 120*k**3 - 12730*k**2. Let z(b) = 0. What is b?
1, 9/5, 16
Suppose 1137/5*x - 1134/5 - 3/5*x**2 = 0. What is x?
1, 378
Let v(q) be the third derivative of 1/30*q**5 + 3/8*q**4 + 0*q + 113*q**2 + 0 + 2/3*q**3. Determine m so that v(m) = 0.
-4, -1/2
Let i = -125727/2 - -62900. Solve 169/8*k**4 - 793/8*k**3 + 379/4*k**2 + 3 + i*k = 0.
-2/13, 2, 3
Factor -2*d**2 - 83827 - 84284 - d**2 + 167511 + 135*d.
-3*(d - 40)*(d - 5)
Let k(y) = -10*y**4 - 2*y**3 + 6*y**2 - 2*y - 8. Let j(u) = -2*u**4 - u**3 - 1. Let r(l) = 14*l + 69. Let i be r(-5). Let o(t) = i*k(t) + 4*j(t). Factor o(d).
2*(d - 2)*(d - 1)*(d + 1)**2
Let m(s) be the first derivative of 1323*s**6 - 2772*s**5/5 - 131*s**4/2 + 88*s**3/3 + 4*s**2 + 29. Find x such that m(x) = 0.
-1/9, 0, 2/7
Let f be (320/(-400))/(1/((-10)/4)). Let l be (-10)/90*-9*f. Factor -2/3*h**l + 20/3*h - 50/3.
-2*(h - 5)**2/3
Let u(l) be the third derivative of l**5/15 - l**4/6 - 6*l**2 - 13. Let h be u(1). Determine t, given that 2/11*t - 4/11*t**3 + 2/11*t**2 + h = 0.
-1/2, 0, 1
Let a = 24 + -22. What is y in -20 - 120*y - 65*y**a + 45*y**4 - 50*y**3 + 11*y**5 - 110*y**2 + 0*y**5 + 9*y**5 = 0?
-2, -1, -1/4, 2
Let s(i) be the third derivative of 0 + 0*i - 9/2*i**3 + 65*i**2 - 1/20*i**5 - 3/4*i**4. Factor s(x).
-3*(x + 3)**2
Suppose -4*q + 5*z + 15759 = 1049, 0 = 5*z - 10. Let 16*o**2 - 3710*o**3 + 18*o**4 - 2*o**5 + q*o**3 - 2*o**2 = 0. Calculate o.
0, 1, 7
Factor 2 - 31*o**3 + 52*o**3 - 13*o**3 + 3*o - 9*o**3.
-(o - 2)*(o + 1)**2
Let k(d) = -d**2 + d + 2. Let m be k(0). Determine w, given that -2*w**3 + 3*w**4 + 2*w + 47*w**m - 54*w**2 - w - 3*w = 0.
-1, -1/3, 0, 2
Let d(c) = 9*c**4 + 435*c**3 + 699*c**2 + 261*c. Let f(q) = -8*q**4 - 437*q**3 - 699*q**2 - 261*q. Let m(u) = -3*d(u) - 4*f(u). Factor m(s).
s*(s + 1)*(s + 87)*(5*s + 3)
Suppose -5*l = 3*x + 7, -x + 8 - 29 = -3*l. Let k(a) = 45*a + 408. Let t be k(x). Let 0 + 0*f - 10*f**2 + 15/2*f**4 + 5/2*f**5 + 0*f**t = 0. Calculate f.
-2, 0, 1
Let s = -264679/8 + 33085. Solve 15/8 - 1/8*o - 15/8*o**2 + s*o**3 = 0.
-1, 1, 15
Solve 1/5*q**5 - 130*q**3 + 0*q + 0 + 1/5*q**4 + 0*q**2 = 0.
-26, 0, 25
Let k(f) be the first derivative of -f**3/2 + 23*f**2/4 - 260. Factor k(p).
-p*(3*p - 23)/2
Let h(u) be the first derivative of -u**6/11 - 2*u**5 + 171*u**4/22 + 34*u**3/11 - 256*u**2/11 - 168*u/11 + 1271. Find p such that h(p) = 0.
-21, -1, -1/3, 2
Let p = -55/768 - -61/256. Let l(u) be the first derivative of -34 - 3/8*u**2 + p*u**3 - 1/2*u - 1/24*u**6 + 0*u**5 + 1/4*u**4. Factor l(m).
-(m - 2)*(m - 1)*(m + 1)**3/4
Let h be (-114)/(11 - 7070/640). Let n = h - 2424. Find j such that -144/5 + 68/5*j**2 - 12/5*j**4 - n*j**3 + 192/5*j = 0.
-3, 2/3, 2
Let d(x) = -x**2 - 4*x - 1. Let q be -6 - (-1 - (4 - (-3 - -5))). Let f be d(q). Factor 5*h**2 - 1 + 0*h**f + 10*h + 4 + 2.
5*(h + 1)**2
Let r(h) = -1. Let c(m) = -5*m**2 - 4*m**2 + 3 + 10*m**2 - 7. Let u(x) = -x + 3. Let l be u(8). Let b(n) = l*c(n) + 20*r(n). Let b(q) = 0. Calculate q.
0
Solve 1/6*m**2 + 110/3 + 56/3*m = 0 for m.
-110, -2
Let n(p) be the second derivative of -14 + 1/180*p**5 - 2*p + 25/6*p**2 + 13/108*p**4 + 55/54*p**3. Factor n(u).
(u + 3)*(u + 5)**2/9
Suppose 23*w = 211187 - 211095. Factor -432/5*o**2 + 0 - 3/5*o**5 - 291/5*o**3 - 192/5*o - 54/5*o**w.
-3*o*(o + 1)**2*(o + 8)**2/5
Suppose -56*u - 7*u = 378. Let l be (u/(-105)*-1)/(20/(-280)). Let l + 1/5*d**3 - 1/5*d - 4/5*d**2 = 0. What is d?
-1, 1, 4
Suppose 4*w = 7*w + j - 8, 5*w + 2*j - 13 = 0. Let h(f) be the second derivative of 13*f - 3/10*f**5 + 6*f**2 + 0 + 1/10*f**6 + 2*f**w - 3/4*f**4. Factor h(g).
3*(g - 2)**2*(g + 1)**2
Let v(u) = -u**2 - 18*u - 43. Let d = -214 + 211. Let s be v(d). Let -12/7*z - 3/7*z**s + 3/7 + 12/7*z**3 = 0. What is z?
-1, 1/4, 1
Determine m, given that -28*m**2 + 562094 + 230006 + 32*m**2 - 3560*m = 0.
445
Let a(k) be the third derivative of k**5/20 + 207*k**4/8 - 104*k**3 + 4*k**2. Factor a(o).
3*(o - 1)*(o + 208)
Suppose 0 = 3*b + h + 10, 26*b - 9*h = 31*b + 90. Suppose 8/5*g**2 + b*g + 98/5*g**4 - 56/5*g**3 + 0 = 0. Calculate g.
0, 2/7
Factor 1/3*o**2 + 114075 + 390*o.
(o + 585)**2/3
Let u(z) be the second derivative of 0 + 65/6*z**3 + 42*z - 7*z**2 - 3/4*z**4. Factor u(n).
-(n - 7)*(9*n - 2)
Let b(g) = g**3 - 5*g**2 - 9*g - 19. Let i be b(6). Let n = 60 + i. Factor 43*k**2 - 26*k**2 - n*k**2 - 8*k.
-2*k*(3*k + 4)
Let b = 16 + -11. Suppose 0 = -b*r + 10*r - 10. Find z, given that -28 + 2*z**5 + 24 - 8*z**3 - z**4 + z**4 + 4*z**r + 6*z = 0.
-2, -1, 1
Let o = -225412 + 2031599/9. Let b = o - 321. Suppose 8/3*u**2 - b*u**3 - 32/3*u + 128/9 = 0. Calculate u.
4
Let a(f) be the second derivative of -f**7/105 + 14*f**6/75 - 21*f**5/50 - 4*f**4/3 + 44*f**3/15 + 48*f**2/5 - 3*f - 1781. Find y, given that a(y) = 0.
-1, 2, 12
Let d(w) = -40*w - 420. Let m be d(-11). Suppose -863*z + 858*z = -m. Solve 2/11*i**5 - 2/11*i**3 + 6/11*i**z - 6/11*i**2 + 0 + 0*i = 0.
-3, -1, 0, 1
Let r(i) = 1 - 2*i**2 + 4 + 3 + 0*i**2. Let n(z) = z**2 - 5. Let x = -13 + 5. Let m(b) = x*n(b) - 5*r(b). Factor m(d).
2*d**2
Suppose -329*q - 4984 = -3372 - 2599. Solve -152/9 + 4/9*n**q + 236/9*n - 88/9*n**2 = 0.
1, 2, 19
Let g be (10*(2 - 4))/((-2)/3). Find l such that -g - 2*l**3 + 20*l - 2*l**2 + 11 + 3 = 0.
-4, 1, 2
Let v(o) be the third derivative of -o**8/90720 + o**7/5670 + o**6/270 - 11*o**5/30 + 9*o**2 - 2*o. Let i(p) be the third derivative of v(p). Factor i(h).
-2*(h - 6)*(h + 2)/9
Let h(j) be the first derivative of 4/25*j**5 + 156 - 8/15*j**3 + 1/5*j**2 + 1/15*j**6 - 1/5*j**4 + 4/5*j. Let h(r) = 0. Calculate r.
-2, -1, 1
Let l = -1263 - -661. Let i = 605 + l. Factor 4/3 + 4/3*d - 4/3*d**i - 4/3*d**2.
-4*(d - 1)*(d + 1)**2/3
Let o(y) be the first derivative of -5*y**7/42 + 2*y**6/3 - 5*y**5/4 + 5*y**4/6 - 266*y - 283. Let n(f) be the first derivative of o(f). What is x in n(x) = 0?
0, 1, 2
Let h be 28/21 - (0/1 - 1). Suppose 5*l + 3*j = 22, -11*l + 12 = -13*l + 4*j. Factor 1/3*s**3 + h*s + 1 + 5/3*s**l.
(s + 1)**2*(s + 3)/3
Let g(t) = -3*t - 5. Let k be (-77)/22*3/(63/(-12)). Let o(m) = m - 4*m**2 + m**k - 1 + 4*m**2 + 0*m**2. Let u(d) = 2*g(d) - 2*o(d). Solve u(h) = 0 for h.
-2
What is f in -2*f**3 - 480*f + f**3 + 62269 - 69*f**2 - 63169 - 2*f**3 = 0?
-10, -3
Let o(d) be the third derivative of 0 + 0*d + 0*d**7 + 52*d**2 - 1/10*d**5 + 1/112*d**8 - 1/10*d**6 + d**3 + 3/8*d**4. Factor o(k).
3*(k - 2)*(k - 1)*(k + 1)**3
Let x(m) be the second derivative of -m**7/168 - 7*m**6/60 - 17*m**5/40 + 4*m**4/3 + 35*m**3/24 - 25*m**2/4 - 2295*m - 1. Suppose x(y) = 0. Calculate y.
-10, -5, -1, 1
Factor -14841*h + 13305*h + 275*h**2 + 4*h**4 + 772*h**3 + 485*h**2.
4*h*(h - 1)*(h + 2)*(h + 192)
Let g(i) be the first derivative of -2*i**3/9 - 22*i**2/3 - 14*i - 525. Factor g(w).
-2*(w + 1)*(w + 21)/3
Let j(y) = -y**3 - 2*y**2 + y. Let o be -1*2/2*1 - 4. Let p(w) = -10*w**3 - 45*w**2 - 15*w + 60. Let d(n) = o*j(n) + p(n). Let d(h) = 0. What is h?
-6, -2, 1
Let q be 24/((-3)/(-7 + 4)). Let u = q + -22. Factor -6*b**2 - 15*b - b**2 + u*b**2.
-5*b*(b + 3)
Let i(w) be the third derivative of -1/660*w**6 + 8/33*w**3 + 0 + 2*w - 10*w**2 + 1/330*w**5 + 5/66*w**4. Find l such that i(l) = 0.
-2, -1, 4
Let l(z) be the first derivative of -z**4/3 + 32*z**2 + 2*z + 152. Let q(h) be the first derivative of l(h). Suppose q(x) = 0. What is x?
-4, 4
Let h(c) be the third derivative of -c**8/280 + 43*c**7/1575 - 7*c**6/180 - 11*c**5/90 + 11*c**4/45 + 4*c**3/15 - 742*c**2. Solve h(a) = 0.
-1, -2/9, 1, 2, 3
Let z(x) be the second derivative of x**4/16 - 153*x**3/8 - 465*x**2/4 - 9628*x. Factor z(c).
3*(c - 155)*(c + 2)/4
Suppose -3*v - 3*c + 2214 = 2148, -30 = -5*v - c. Find h such that 72/5 + 2/5*h**v + 24/5*h = 0.
-6
Let q(a) be the second derivative of -a**6/165 + 27*a**5/110 + 29*a**4/33 - 130*a. Find z such that q(z) = 0.
-2, 0, 29
Let x = 34605 + -34601. Let u(a) be the first derivat