at is f?
-25, 26
Let f be (-4 - 64874)/(-2) - -5. Factor 0*z**3 - 32440 + z**3 + f + 6*z**2 + 9*z.
(z + 1)**2*(z + 4)
Let l(b) be the second derivative of b**6/15 - 17*b**4/6 - 12*b**3 - 20*b**2 + 171*b - 9. Let l(t) = 0. Calculate t.
-2, -1, 5
Let m(t) = t**2 + 4*t - 71. Let i be m(-11). Factor 4*u**2 + 14*u**2 + 28 + 32*u - i*u**2 - 8*u**2.
4*(u + 1)*(u + 7)
Suppose 5768*a - 1350 = 5093*a. Factor -82/3*n**a + 1/3*n**3 + 1176 + 532*n.
(n - 42)**2*(n + 2)/3
Let x(w) = -79*w**3 + w**2 - 2*w - 3. Let s be x(-1). Factor -9*y - 24*y**2 + 79 - s - 18*y**3 + 0*y**2 + 3*y**5.
3*y*(y - 3)*(y + 1)**3
Find n, given that -276/7*n + 4/7*n**3 + 2560/7 - 510/7*n**2 = 0.
-5/2, 2, 128
Suppose 3*q + 6*g - 45 = 0, -21 = -5*q - 8*g + 7*g. Let w(p) be the second derivative of 1/6*p**4 - p**5 + 0*p**2 + 2/3*p**q + 0 + 33*p. Solve w(z) = 0.
-2/5, 0, 1/2
Let u(b) be the third derivative of -2/105*b**6 + 0 - 172*b**2 - 41/42*b**4 - 8/7*b**3 + 0*b + 9/35*b**5. Let u(v) = 0. Calculate v.
-1/4, 3, 4
What is t in -18*t**4 + 8*t**4 - 4*t**5 - 2476*t**2 + 2436*t**2 - 188*t**3 - 46*t**4 + 299*t - 11*t = 0?
-9, -4, -2, 0, 1
Suppose -6 = -25*w + 44. Find t such that -12448*t**4 + 3*t**w - t**5 - t**2 + t + 12446*t**4 = 0.
-1, 0, 1
Let z(w) = -175*w**2 - 14*w. Let m(a) = -350*a**2 - 29*a. Let l = -172 - -163. Let i(u) = l*z(u) + 4*m(u). Factor i(n).
5*n*(35*n + 2)
Let r(f) = -f**3 + 6*f**2 + f + 9. Let k be r(6). Let d be (-20)/k + (-155)/(-15). Factor s**2 - 4 + 2 + d - 2*s - 6.
(s - 1)**2
Let b(n) be the third derivative of n**6/24 - 25*n**5/6 - 1945*n**4/24 - 475*n**3 + 2*n**2 - n + 393. Factor b(f).
5*(f - 57)*(f + 2)*(f + 5)
Let o be (176/24 - (17 + -9)) + (-38)/(-48). Factor -1/8*m**4 + 0 - 1/8*m + 1/8*m**2 + o*m**3.
-m*(m - 1)**2*(m + 1)/8
Let a = 12986 + -12982. Let b(n) be the third derivative of 0*n + 0*n**3 + 1/3*n**5 + 0 + 13/120*n**6 - 1/6*n**a - 11/210*n**7 - 19*n**2. Factor b(x).
-x*(x - 2)*(x + 1)*(11*x - 2)
Suppose -4*t = 4*f - 12, -3*t + 27 = 5*f - 4*t. Factor 398 + 40*w**3 - 398 - 45*w**2 + f*w**4.
5*w**2*(w - 1)*(w + 9)
Let b be 5/(-2)*20/(-25). Let p = -63112 - -63115. Determine q, given that -3/10*q**b + 3/10*q + 1/10*q**p - 1/10 = 0.
1
Factor 40*a - 20*a**2 - 1222*a**3 + 2371*a**3 + 5*a**4 - 1159*a**3.
5*a*(a - 2)**2*(a + 2)
Factor 114*u + 110*u + 13*u**4 - 55320 + 55352 + 90*u**2 - 89*u**3.
(u - 4)**2*(u + 1)*(13*u + 2)
Let k = 19603 - 19600. Factor 2/3*o**k - 26/3*o**2 - 22/3 + 46/3*o.
2*(o - 11)*(o - 1)**2/3
Suppose -115*q - 28 = -122*q. Let j be 5 + 1 + (-5 - -2). Suppose 10*n**4 + 19*n**3 - 57*n**2 + 36*n**q + 14*n**5 + n**2 - 7*n**j - 16*n = 0. What is n?
-2, -2/7, 0, 1
Let k(j) be the second derivative of -j**6/120 - 29*j**5/20 - 165*j**4/8 - 243*j**3/2 - 2889*j**2/8 + 13*j + 8. Solve k(u) = 0.
-107, -3
Factor 378/5*j - 576/5 - 12*j**2 - 2/15*j**3.
-2*(j - 3)**2*(j + 96)/15
Let v be (88/(-3168))/(5 + 105/(-20)). Factor -47/9*m**2 - 529/9 + v*m**3 + 575/9*m.
(m - 23)**2*(m - 1)/9
Suppose -18*m - 1846 = 3536. Let z = m + 299. Find v, given that 13*v**3 - 8/3*v**2 + z - 9*v**4 - 4/3*v = 0.
-2/9, 0, 2/3, 1
Find a, given that -28 - 37*a + 67*a - 19*a - a**2 = 0.
4, 7
Suppose 2 + 16 = 9*n. Factor 485 - 2*l**4 + n*l**2 - 485 + 3*l**5 - 3*l**3.
l**2*(l - 1)*(l + 1)*(3*l - 2)
Let f = 406 - 408. Let u be (42/(-280))/(f/8). Find m such that -6/5*m**3 - u*m**2 + 3/5*m**4 + 6/5*m + 0 = 0.
-1, 0, 1, 2
Let l(f) be the first derivative of 289*f**6/15 + 2176*f**5/25 - 227*f**4/2 - 9964*f**3/15 + 1212*f**2/5 - 144*f/5 + 821. Suppose l(a) = 0. What is a?
-3, 2/17, 2
Let -40/3*s + 1/3*s**2 - 28 = 0. Calculate s.
-2, 42
Let y = 1981 + -1979. Let x = 3 + -1. Determine d, given that -d + d**3 + 2*d**x - 4*d**2 + 2*d**y = 0.
-1, 0, 1
Suppose -2/7*t**3 - 3412979750/7 - 8568150/7*t - 7170/7*t**2 = 0. Calculate t.
-1195
Let q(l) be the third derivative of l**7/840 - 337*l**6/480 - l**5/240 + 337*l**4/96 + 1054*l**2. Factor q(d).
d*(d - 337)*(d - 1)*(d + 1)/4
Let i = 334 + -70139/210. Let s(n) be the third derivative of 0 + 16*n**2 + 0*n - i*n**7 + 0*n**3 + 1/24*n**4 + 1/60*n**5 - 1/120*n**6. Factor s(c).
-c*(c - 1)*(c + 1)**2
Let p be (-9 + 1)/(6/57). Let j = -66 - p. Factor 4*y**3 - j*y - 3*y + 9*y.
4*y*(y - 1)*(y + 1)
Suppose 977*n**2 - 16 - 43*n**3 - 104*n - 973*n**2 + 69*n**3 = 0. Calculate n.
-2, -2/13, 2
Let i be (30/20)/(2/8). Let u(t) be the third derivative of -2*t + 0*t**3 + 0*t**4 - 3*t**2 - 1/105*t**7 - 1/30*t**5 + 0 - 1/30*t**i. Let u(v) = 0. What is v?
-1, 0
Let n(f) be the first derivative of -f**6/24 - 10*f**5 - 1000*f**4 - 160000*f**3/3 + 38*f**2 + 125. Let u(k) be the second derivative of n(k). Factor u(p).
-5*(p + 40)**3
Let q(k) be the second derivative of -3/2*k**2 + 3/8*k**5 - 40*k - 47/24*k**4 + 0 + 3/20*k**6 - 35/12*k**3. Find n such that q(n) = 0.
-3, -1/3, 2
Suppose 156 = 2*w - 13*c + 11*c, 0 = -5*w + c + 370. Let a = w + -73. Find n, given that -2/23*n**4 - 8/23*n**2 + 0*n + 8/23*n**3 + a = 0.
0, 2
Let o(n) be the first derivative of 0*n**2 - 1/12*n**4 - 12*n - 1/12*n**3 - 1/40*n**5 - 7. Let c(r) be the first derivative of o(r). Factor c(i).
-i*(i + 1)**2/2
Let t(m) = -m**2 + 9*m + 26. Let z be t(11). Let n be (-144)/(-288) - 1/2 - 9/(-6). Find d, given that -5/2*d**z + 0 - n*d**3 - 1/2*d + 5/2*d**2 + 2*d**5 = 0.
-1, 0, 1/4, 1
Suppose 0 = -3*u - 4*c - 14775, -1612 = 3*u - 5*c + 13136. Let o be (u/(-28))/19 + -9. Factor 0 + 0*x**2 - 1/4*x + o*x**3.
x*(x - 1)*(x + 1)/4
Let o(b) be the third derivative of -b**5/20 - 73*b**4/8 - 513*b**3 + 8343*b**2. Factor o(y).
-3*(y + 19)*(y + 54)
Let a(f) be the third derivative of -f**5/300 + 9*f**4/40 + 16*f**3/3 - 12*f**2 + 9. Factor a(j).
-(j - 32)*(j + 5)/5
Let u be 459/54 - 949/130. Solve -6/5*o**5 + 0 - 6/5*o**2 + 6/5*o**3 + 0*o + u*o**4 = 0.
-1, 0, 1
Let h(y) = -2*y**3 + y**2 - y + 1. Let n(l) = -7*l**3 - 16*l**2 + 13*l + 3. Suppose -8*s - 21*s = -812. Let g(u) = s*h(u) - 4*n(u). Solve g(v) = 0 for v.
2/7, 1, 2
Let a = -22 - -19. Let r be 2/4*(a/(-3) + 9). Determine f so that 16*f**2 - 5*f**r - 3*f**3 + 5*f**4 + 8*f**3 + 12*f**2 - 33*f**2 = 0.
-1, 0, 1
Suppose 196*h = -102*h + 34*h. What is n in h + 3/5*n - 1/5*n**2 = 0?
0, 3
Let m = 570 + -597. Let d be (-27)/243*m/6. Factor -4 - 7/2*s + d*s**2.
(s - 8)*(s + 1)/2
Let y(i) be the third derivative of i**7/1260 + i**6/8 - i**5/360 - 5*i**4/8 + i**2 - 734. Let y(j) = 0. Calculate j.
-90, -1, 0, 1
Solve 5/3*d**2 + 740/3 - 380/3*d = 0.
2, 74
Suppose -151*c = -36 + 36. Let h(x) be the third derivative of 0*x**3 + 0*x**5 + 3*x**2 + 0 + 0*x + c*x**7 + 1/72*x**4 + 1/1008*x**8 - 1/180*x**6. Factor h(t).
t*(t - 1)**2*(t + 1)**2/3
Let p - 5*p**4 + 55*p**3 - 14*p**5 - 20*p**2 + 5*p**2 + 20 - 41*p - 7*p**5 + 6*p**5 = 0. What is p?
-2, -1, 2/3, 1
Let s(y) = y**5 + 2*y**3 + 2*y - 3. Let l(g) = -7*g**5 - 40*g**4 + 226*g**3 - 344*g**2 + 140*g + 15. Let r(n) = -2*l(n) - 10*s(n). Let r(d) = 0. Calculate d.
-25, 0, 1, 3
Let m(a) be the first derivative of 484*a - 2 - 22*a**2 + 1/3*a**3. Determine b, given that m(b) = 0.
22
Suppose -47 - 182 = -91*t - 47. Factor 7/3*u + 8/9*u**2 + 1/9*u**3 + t.
(u + 2)*(u + 3)**2/9
Suppose -150 - 200 = -50*u. Suppose 0 = 11*n - u*n - 4*r - 32, -n + 5*r = -28. Solve 95/2*g + 45/2*g**n + 15 + 5/2*g**4 + 105/2*g**2 = 0 for g.
-6, -1
Let l(j) be the third derivative of -j**7/105 + 7*j**6/4 - 203*j**5/30 - 103*j**4/4 + 2*j**2 - 94*j + 1. Find p such that l(p) = 0.
-1, 0, 3, 103
Suppose -1094*n**3 - 158163*n**5 + 1360*n + 158119*n**5 - 208 - 222*n**3 + 1196*n**4 - 988*n**2 = 0. What is n?
-1, 2/11, 1, 26
Let h(z) be the third derivative of z**6/600 + z**5/30 - 313*z**4/120 - 161*z**3/15 + 48*z**2 + z + 32. Factor h(y).
(y - 14)*(y + 1)*(y + 23)/5
Factor -56 - 36*y**3 + 111*y**3 - 52*y - 42*y**3 - 10*y**2 - 32*y**3.
(y - 14)*(y + 2)**2
Factor -1/3*o**4 + 0 + 0*o + o**3 + 6*o**2.
-o**2*(o - 6)*(o + 3)/3
Suppose 57 = 4*r + h, r - 8*h - 33 = -12*h. Suppose -5*x = -12 - r. Factor -x*l**3 + 8 - 3*l**3 + 3*l**3 + 3*l**3 - 6*l**2.
-2*(l - 1)*(l + 2)**2
Let m(l) be the first derivative of 4*l**3/15 - 3744*l**2/5 + 3504384*l/5 - 204. Factor m(c).
4*(c - 936)**2/5
Suppose 0 = 4019*h - 8070 - 3987. Determine d so that -32/7 + 0*d**2 + 24/7*d - 2/7*d**h = 0.
-4, 2
Let o(i) be the second derivative of i**7/28 - i**6/10 - 39*i**5/40 + 7*i**4/4 + 6*i**3 + 15240