iven that m(p) = 0.
-1, 0, 11
Let w(n) be the first derivative of -5*n**3 + 5*n**2/2 + 2*n/5 + 137. Factor w(k).
-(5*k - 2)*(15*k + 1)/5
Let f(j) be the third derivative of j**8/616 + 367*j**7/1155 + 7243*j**6/330 + 2478*j**5/5 - 69678*j**4/11 - 98784*j**3/11 + 5*j**2 - 442. Solve f(b) = 0.
-42, -1/3, 4
Find l, given that -2/7*l**5 - 240/7*l - 10/7*l**3 - 284/7*l**2 + 32/7*l**4 + 0 = 0.
-2, -1, 0, 4, 15
Factor 1023*n + 942*n + 489*n + 47467*n**2 - 7139*n**2 - 750*n + 18.
2*(142*n + 3)**2
Let t(a) be the first derivative of -14 + 1/9*a**4 - 1/27*a**6 - 1/9*a**2 - 2/45*a**5 + 4/27*a**3 - 2/9*a. What is c in t(c) = 0?
-1, 1
Solve -84 + 108*m**2 - 26 - 8639*m + 4302*m + 4305*m + 32*m**3 + 2*m**4 = 0 for m.
-11, -5, -1, 1
Suppose l + 5*n - 61 = 0, 0 = 3*l + 2*n - 51 - 67. Suppose 54*p - l = 36*p. Factor -5/4*j**p + 5/4 + 0*j.
-5*(j - 1)*(j + 1)/4
Let 54/5*x**2 + 0*x + 48/5*x**4 - 21*x**3 + 0 + 3/5*x**5 = 0. What is x?
-18, 0, 1
Let i(x) = x**3 + 37*x**2 - 10*x - 10. Let g(u) = 3*u**2 + 2*u - 1. Let m(t) = 10*g(t) - i(t). Factor m(l).
-l*(l - 3)*(l + 10)
Determine n so that -28*n**3 - 26*n**3 - 48 - 17 - 32*n**2 - 23 + 118*n + 56*n**3 = 0.
1, 4, 11
Let k(v) be the first derivative of -v**4/36 + 5*v**3/18 + 7*v**2/3 + 17*v + 5. Let x(u) be the first derivative of k(u). Find n such that x(n) = 0.
-2, 7
Factor -816*x**2 - 864*x**3 - 2/3 + 142/3*x.
-2*(x + 1)*(36*x - 1)**2/3
Let d(o) = -3*o**2 + 250*o - 1743. Let w(t) = t**2 - 84*t + 581. Let s(j) = -3*d(j) - 10*w(j). Factor s(g).
-(g - 83)*(g - 7)
Suppose 0 = -9*m + 5*m + 328. Let p = 194 - m. Solve 60*y**2 + 3*y**4 + 987*y**3 - p*y + 64 - 1000*y**3 - 2*y**4 = 0.
1, 4
Let -5/6*w**4 + 160*w**3 - 129735/2 + 44640*w - 8145*w**2 = 0. Calculate w.
3, 93
Let 1288/9*i + 2/9*i**2 + 207368/9 = 0. What is i?
-322
Let c(i) = i - 25. Let m be c(-5). Let q be m/(-40)*(-40)/(-57). Factor 2/19*n**3 - 6/19 - q*n - 2/19*n**2.
2*(n - 3)*(n + 1)**2/19
Suppose -2*p = -7*p. Let k be 9/(-1) - (-32)/((-2880)/(-910)). Find q such that -k*q + 2/9*q**2 + p = 0.
0, 5
Suppose -99*d = -76*d + 15295. Let h = d + 665. Factor 1/4 + h*b - 1/4*b**2.
-(b - 1)*(b + 1)/4
Let n = -195 - -200. Factor 45*d**2 - 14*d - d**3 - 18*d - 20*d**3 + 3 + n*d.
-3*(d - 1)**2*(7*d - 1)
Determine v so that -23/6*v**3 + 4*v - 1/6*v**5 - 8/3 + 3/2*v**4 + 7/6*v**2 = 0.
-1, 1, 4
Let t(y) be the third derivative of -106*y**2 + 0*y - 1/8*y**4 - 1/3*y**3 - 1/336*y**8 + 1/30*y**5 + 1/30*y**6 + 0 + 0*y**7. Suppose t(c) = 0. What is c?
-1, 1, 2
Let f be (((-6)/(-9))/(8/(-3)))/((-1274)/(-112) - 14). Solve -16/21*w + f*w**2 - 40/21 = 0 for w.
-2, 10
Let t be 1 + (-8)/(-3 + -1). Factor 4*n**4 + 104*n**t - 76*n**3 + 56*n**2 + 36*n + 4*n**2.
4*n*(n + 1)*(n + 3)**2
Let g(l) be the third derivative of -l**7/42 + 27*l**6/4 - 2019*l**5/4 - 8505*l**4 - 52920*l**3 - 731*l**2. Suppose g(j) = 0. What is j?
-3, 84
Let u(o) be the first derivative of -80/3*o**3 - 41 - 5/6*o**6 - 10*o - 45/2*o**2 - 6*o**5 - 35/2*o**4. Determine i, given that u(i) = 0.
-2, -1
Let t(f) be the third derivative of f**6/720 - 47*f**5/180 - 97*f**4/144 + 95*f**3/18 + 2784*f**2. Factor t(g).
(g - 95)*(g - 1)*(g + 2)/6
Determine v so that 16/3*v**2 + 72 - 52*v + 4/3*v**3 = 0.
-9, 2, 3
Let p(s) = -2*s**3 - 10*s**2 - 4*s. Let d(c) = 10*c + 16. Let a be d(-2). Let m(u) = 5*u**3 + 28*u**2 + 12*u. Let g(w) = a*m(w) - 11*p(w). Factor g(h).
2*h*(h - 2)*(h + 1)
Let f(v) be the second derivative of v**7/70 - 33*v**6/40 - 69*v**5/20 - 35*v**4/8 + 33*v**2 - 8*v + 3. Let q(p) be the first derivative of f(p). Factor q(i).
3*i*(i - 35)*(i + 1)**2
Let i(x) be the third derivative of -x**6/240 + 217*x**5/120 - 9*x**4/2 - 63*x**2 + 3. Factor i(c).
-c*(c - 216)*(c - 1)/2
Factor -5*p**4 + 7*p**4 + 1022*p + 16*p**3 + 48*p**3 + 1474*p + 668*p**2 + 3042.
2*(p + 3)**2*(p + 13)**2
Let -d**2 - 39*d - 51076 + 129*d - 288*d - 284*d + 30*d = 0. Calculate d.
-226
Suppose 3*l + 193440 = 34*l. Let 117*n - 55*n + 1720*n**4 + 3831*n**2 + 2 + l*n**3 + 98*n + 1322*n**4 - 475*n**2 = 0. What is n?
-1, -1/39
Let v = 181/285 - 2/57. Let x = -11616 - -11619. Suppose -1/5*t**x - 1/5*t**2 + t - v = 0. Calculate t.
-3, 1
Let f = 24706/3 - 74108/9. Solve 2/3 + 2/9*n**3 + f*n**2 + 14/9*n = 0.
-3, -1
Suppose 37*d - 45*d + 8544 = 0. What is k in 1116*k**4 - 124*k**3 + 600*k + 103*k**5 - 48 - 152*k - 427*k**5 - d*k**2 = 0?
-1, 2/9, 1, 3
Suppose -9*f**3 - 285/4*f**2 - 1/4*f**4 + 0 + 361/2*f = 0. What is f?
-19, 0, 2
Let a be (-3)/171*-132*(-2)/1. Let t = 1182/247 + a. Factor 0 - t*y**5 + 0*y + 0*y**2 + 0*y**3 - 2/13*y**4.
-2*y**4*(y + 1)/13
Let h be (36/15)/(37/185) + -9. Let x(g) be the second derivative of -1/7*g**2 + 1/6*g**4 + 9*g + 0 + 2/7*g**h. Factor x(o).
2*(o + 1)*(7*o - 1)/7
Factor 44*r**4 + 223*r**2 - 105*r**3 + 53*r**2 + 30*r**4 - 62*r**4 - 228*r.
3*r*(r - 2)**2*(4*r - 19)
Let g(d) = d**3 - 2*d**3 + 10 + 0*d**3 - d**2 - d - 11. Let i(l) = 10*l**3 + 46*l**2 + 2*l - 34. Let s(w) = -6*g(w) - i(w). Find k, given that s(k) = 0.
-10, -1, 1
Let y(w) be the first derivative of -5*w**4/48 + w**3/24 + 3*w**2/4 - 123*w + 86. Let k(d) be the first derivative of y(d). Factor k(h).
-(h + 1)*(5*h - 6)/4
Suppose -5*t = i - 241, 3*t - 148 = -3*i - 1. Suppose -13*y - 3*y = -t. Suppose 10*h - 20*h + 5*h**2 + 22*h**3 - 17*h**y = 0. Calculate h.
-2, 0, 1
Let o(i) = -10*i - 48. Let r be o(-5). Let m(s) be the first derivative of 0*s**r - 1/9*s**5 + 4/27*s**3 + 0*s - 2/9*s**4 + 16. What is g in m(g) = 0?
-2, 0, 2/5
Let q(a) be the first derivative of -4*a**3/21 + 242*a**2/7 + 488*a/7 + 4620. Find p such that q(p) = 0.
-1, 122
Let o(n) be the second derivative of 5*n**4/12 + 155*n**3/3 - 4015*n**2/2 + 2637*n. Determine j so that o(j) = 0.
-73, 11
Let t be (11 + -9)*6 + (-2268)/196. Factor 0 + t*p**3 - 6/7*p - 3/7*p**2.
3*p*(p - 2)*(p + 1)/7
Let b = 113 - 110. Factor 77*i - 200*i**b - 208*i - 5 - 24*i**4 - 56*i**4 + 81*i - 165*i**2.
-5*(i + 1)**2*(4*i + 1)**2
Let s(g) be the first derivative of -19*g**4/10 - 6*g**3/5 + 2*g**2 + 4527. Determine f, given that s(f) = 0.
-1, 0, 10/19
Let q(a) be the second derivative of -a**6/9 - 119*a**5/15 - 111*a**4/2 - 422*a**3/9 + 344*a**2/3 - 3883*a. Suppose q(y) = 0. Calculate y.
-43, -4, -1, 2/5
Let t = 185018 + -185016. Suppose -1/5*w**t + 8/5*w - 16/5 = 0. What is w?
4
Factor 0*u - 118/5*u**2 + 2/5*u**3 + 0.
2*u**2*(u - 59)/5
Let c(b) be the third derivative of 25/4*b**4 - 145/6*b**3 + 47*b**2 - 1/12*b**5 + 1 + 0*b. Let c(d) = 0. What is d?
1, 29
Let h = 79 - 124. Let z be (189/45 - 5) + (-46)/h. Factor 0 + z*y - 2/9*y**2.
-2*y*(y - 1)/9
Let l(k) be the first derivative of k**4/18 + 182*k**3/27 + 352*k**2/9 + 232*k/3 - 960. Solve l(i) = 0 for i.
-87, -2
Factor -53*n**3 + 1746*n**2 + 7992*n**2 + 6255 + 3*n**4 + 20532*n - 132*n**3 - 163*n**3 + 4188.
3*(n - 59)**2*(n + 1)**2
Factor -12/7*k**2 - 147 + 4119/7*k.
-3*(k - 343)*(4*k - 1)/7
Factor -471 - 669 - 62*d**3 - 3*d + 1250*d**2 + 65*d**3 - 183 + 73*d**2.
3*(d - 1)*(d + 1)*(d + 441)
Suppose 0 = 342*z - 119 - 171 - 333 - 403. What is y in 0 - 39/2*y**2 + 45*y - 3/2*y**z = 0?
-15, 0, 2
Let y(c) be the first derivative of -c**5/70 + 3*c**4/14 - 6*c**3/7 + 148*c - 159. Let u(v) be the first derivative of y(v). Factor u(j).
-2*j*(j - 6)*(j - 3)/7
Let o(v) be the first derivative of -v**7/1050 - v**6/50 - 9*v**5/50 - 9*v**4/10 + 103*v**3/3 - 67. Let f(i) be the third derivative of o(i). Factor f(l).
-4*(l + 3)**3/5
Let n(w) = -w**3 + 7*w**2 + 3*w - 32. Let m be n(6). Suppose 0 = -3*j + m - 10. Factor -5/6*u**3 + 3/2*u**2 + 1/6*u**j + 1/3 - 7/6*u.
(u - 2)*(u - 1)**3/6
Suppose 19*i = 3 + 187. Let x be (1 + 2)/((-3)/(-2)). What is z in -7*z + 7*z + i*z - 1 + 5*z**x - 14 = 0?
-3, 1
Let x(a) = a**3 + 49*a**2 + 228*a + 5. Let h(i) = 52*i**2 + 228*i + 4. Let s(r) = -5*h(r) + 4*x(r). Factor s(t).
4*t*(t - 19)*(t + 3)
Let d(i) be the third derivative of -i**6/300 - 167*i**5/150 - 574*i**4/5 + 2352*i**3/5 + 422*i**2 + 2. Determine o so that d(o) = 0.
-84, 1
Suppose 8119*t = 8209*t - 180. Factor 46/3*w + 26/3*w**t + 20/3.
2*(w + 1)*(13*w + 10)/3
Let x(y) = 13*y**3 + 243*y**2 + 4023*y + 12553. Let z(f) = 68*f**3 + 1216*f**2 + 20112*f + 62768. Let h(d) = -16*x(d) + 3*z(d). Solve h(o) = 0 for o.
-28, -4
Let y(v) be the third derivative of -11/72*v**4 + 1/180*v**6 + 219*v**2 + 2/3*v**3 + 0*v -