)/3
Let s = 603 + -601. Let -211*w + 183*w**3 + 126*w**4 - 153*w**s - 301*w + 404*w + 15*w**5 - 63*w**2 = 0. What is w?
-6, -3, -2/5, 0, 1
Let j be (8/4)/(2/(-666)). Let w = j - -668. Find g, given that 0 - 2/3*g + 1/3*g**w = 0.
0, 2
Let s(w) = 2*w**3 + w**2 + w + 1. Let j(z) = z**3 + 67 - 36 + 18*z - 41 + 7*z**2. Let n(x) = -j(x) + 2*s(x). Factor n(v).
(v - 3)*(v + 2)*(3*v - 2)
Let q(n) be the third derivative of -n**6/160 - 29*n**5/160 + 11*n**4/8 + 51*n**3/16 + 557*n**2. Suppose q(w) = 0. What is w?
-17, -1/2, 3
Let g = 896 - 891. Let y(m) be the third derivative of 0 - 1/12*m**4 - 1/120*m**6 + 16*m**2 + 0*m**3 - 1/20*m**g + 0*m. Factor y(n).
-n*(n + 1)*(n + 2)
Let i(m) be the third derivative of -m**7/2100 + m**6/900 + 16*m**3 + 111*m**2. Let u(k) be the first derivative of i(k). Find t, given that u(t) = 0.
0, 1
Let p be 8/(-27)*14*99/(-264). Factor -p*u + 2/9*u**3 - 4/3 + 0*u**2.
2*(u - 3)*(u + 1)*(u + 2)/9
Let c = -277663 + 1110699/4. Factor 1/4*v**4 + 0 - c*v**2 + 6*v + 11/2*v**3.
v*(v - 1)**2*(v + 24)/4
Let y(b) be the second derivative of -88*b - 15/7*b**2 - 1/42*b**4 + 16/21*b**3 + 0. Factor y(w).
-2*(w - 15)*(w - 1)/7
Determine s, given that -1278 - 3230*s**2 + 4*s**4 + 660*s**3 - 74 + 3372*s + 546*s**2 = 0.
-169, 1, 2
What is w in -8/5*w**2 + 0*w - 2*w**4 + 2/5*w**5 + 16/5*w**3 + 0 = 0?
0, 1, 2
Solve -2*w**2 + 3/2*w**3 - 1/2*w + 1 = 0.
-2/3, 1
Let d(i) = -4*i**3 - 14*i - 6. Let b(o) = -5*o**2 + 25*o - 5. Let v be b(5). Let z(t) = -3*t**3 - t**2 - 13*t - 5. Let h(q) = v*d(q) + 6*z(q). Factor h(a).
2*a*(a - 4)*(a + 1)
Find x such that -365*x**2 - 490*x - 22*x**5 - 233 - 55*x**3 + 25*x**4 - 288 + 321 + 27*x**5 = 0.
-5, -2, -1, 4
Let g(p) be the second derivative of -5*p**6/6 - 31*p**5/2 + 25*p**4/4 + 440*p**3/3 - 310*p**2 - 10454*p. Solve g(j) = 0 for j.
-62/5, -2, 1
Suppose 1137*o + 227*o**2 + 57518 - 28754 - 28754 = 0. What is o?
-5, -2/227
Let g be (16/(-20))/((-24)/40860). Let y = 1364 - g. Factor -7/3*o + 1/3*o**3 - 2/3*o**y - 4/3.
(o - 4)*(o + 1)**2/3
Let d(n) = -3*n**2 + 4*n + 3. Let x be d(-1). Let m be 55*(x - -12)/88. Factor 0*p + 10/3*p**2 + 2*p**4 - 2/3*p**m + 0 + 6*p**3.
-2*p**2*(p - 5)*(p + 1)**2/3
Let r be (9 + (-1899)/216)/((-120)/(-216)). Let f(k) be the first derivative of 32 - 1/10*k**5 + 0*k - 1/2*k**3 - r*k**4 - 1/4*k**2. Factor f(q).
-q*(q + 1)**3/2
Suppose 469 + 1199 = 2*l. Suppose 4*x + 4*p - 660 = 0, 2*p - l = -8*x + 3*x. Factor -5*b + x + 5*b**2 - 168.
5*b*(b - 1)
Let u(q) be the second derivative of -q**6/24 - q**5/6 - 5*q**4/24 + 89*q**2/2 - 112*q. Let o(z) be the first derivative of u(z). Find k such that o(k) = 0.
-1, 0
Let h be (9/(-12))/((-92)/(-16) + -6). What is l in -5*l**3 + 24*l**2 - 20*l**2 - h - 35*l + 14 + 4 + 21*l**2 = 0?
1, 3
Let x be 27/36*2 + 683/2. Factor 343*g**3 + 12*g**2 + 10*g - 27*g**2 - x*g**3 + 5*g**4.
5*g*(g - 1)**2*(g + 2)
Let h(j) be the third derivative of 1/27*j**4 + 1/90*j**5 + 0 - 4/27*j**3 + 2*j + 12*j**2. Suppose h(q) = 0. Calculate q.
-2, 2/3
Let r be -264 - 7 - (4/(-2))/(-1). Let l be (-1050)/r - (-6)/39. Find p such that -3/2 - 49/4*p - l*p**3 - 26*p**2 = 0.
-6, -1/4
Let k(x) be the second derivative of -x**5/100 - 9*x**4/20 - 27*x**3/5 + 6337*x. Factor k(i).
-i*(i + 9)*(i + 18)/5
Let o be -2*((-33)/(-55))/(8/20). Let u be 3 + o*45/(-18). Factor -u*v - 6*v**4 - 39/2*v**3 - 45/2*v**2 - 3/2.
-3*(v + 1)**3*(4*v + 1)/2
Suppose -180*g + 446 = 171*g - 256. Factor 2/5*s**4 + 0 + 0*s**g - 8/5*s**3 + 0*s.
2*s**3*(s - 4)/5
Factor -478/13*p**2 + 148840/13 + 27328/13*p + 2/13*p**3.
2*(p - 122)**2*(p + 5)/13
Let n(a) = 3*a**2 - 30*a - 355. Let j be n(17). Let k(x) be the first derivative of 0*x + 1/3*x**3 + 1/3*x**j + 1/12*x**4 - 3. Factor k(p).
p*(p + 1)*(p + 2)/3
Let v(l) = l - 2. Let c be v(4). Suppose 349*d = 316*d + 66. Factor 5*w**d - w**c - 170*w + 170*w.
4*w**2
Let c(u) be the third derivative of 0*u - 25*u**2 + 1/39*u**4 + 4/13*u**3 + 1/780*u**6 + 0 - 7/390*u**5. Determine m so that c(m) = 0.
-1, 2, 6
Let s(d) be the second derivative of -1/4*d**5 + 325/4*d**4 + 1373125/2*d**2 + 0 - 21125/2*d**3 + 236*d. Factor s(t).
-5*(t - 65)**3
Let p(l) be the second derivative of -l**5/10 + l**4/6 + 5*l**3/3 + 3*l**2 + 5650*l. Let p(z) = 0. Calculate z.
-1, 3
Let p(r) = -r**3 - 16*r**2 + 16*r - 5. Let t be p(-17). Let m = 0 + t. What is q in -5*q**5 - 5*q**4 + 3*q**3 + 2*q**3 - m*q**2 + 27*q**2 - 10*q**2 = 0?
-1, 0, 1
Let j(m) be the second derivative of 1/2*m**3 + 1/45*m**6 - 1/9*m**4 + 1/14*m**7 - 24*m - 3/10*m**5 - 2 + 1/3*m**2. Suppose j(a) = 0. What is a?
-1, -2/9, 1
Let v(i) be the first derivative of -i**7/42 + 2*i**6/15 - 3*i**5/10 + i**4/3 - i**3/6 - 46*i - 27. Let t(m) be the first derivative of v(m). Factor t(g).
-g*(g - 1)**4
Let w(p) = 128*p + 907. Let h be w(-7). Let v(k) be the first derivative of 2/15*k**3 - h - 1/10*k**4 + 2/5*k**2 + 0*k. Factor v(r).
-2*r*(r - 2)*(r + 1)/5
Factor 1/5*a**3 + 16/5*a + 12/5 + 7/5*a**2.
(a + 2)**2*(a + 3)/5
Let k(i) be the third derivative of 1/300*i**6 + 1/15*i**3 + 0 - 119*i**2 - 1/60*i**4 - 1/150*i**5 + 0*i. Solve k(x) = 0 for x.
-1, 1
Let u(o) = o**3 + 96*o**2 + 894*o - 2006. Let y(c) = 10*c**3 + 870*c**2 + 8045*c - 18055. Let p(q) = -55*u(q) + 6*y(q). Factor p(b).
5*(b - 20)*(b - 2)*(b + 10)
Let k(j) = -28*j**2 + 1486*j - 1476. Let m(t) = -24*t**2 + 1485*t - 1476. Let i(l) = 5*k(l) - 6*m(l). What is u in i(u) = 0?
1, 369
Let q = -202 + 207. Factor -4*t**4 + 13*t**5 - 12*t**q + t**5 + 16*t**2 - 8*t**3.
2*t**2*(t - 2)**2*(t + 2)
Let l(i) be the third derivative of -3*i**3 + 0 + 5/8*i**4 - 1/40*i**6 + 0*i + 9*i**2 + 1/10*i**5. Factor l(c).
-3*(c - 3)*(c - 1)*(c + 2)
Let u = 4 + 1. Let j(t) = -16*t**2 - 80*t - 54. Let s(v) = 39*v - 2*v + 13*v**2 - 23*v - 2*v**2 + 36 + 39*v. Let z(f) = u*j(f) + 8*s(f). Factor z(p).
2*(2*p + 3)**2
Solve 609*t - 5*t**2 - 684 - 615*t - 6*t**2 - 1026*t + 2*t**2 = 0.
-114, -2/3
Let t be (-2)/(-24)*2*3*-28. Let k be (36/63)/((-4)/t). Factor 4*a**5 + 123*a**k + 160*a**2 - 259*a**2 + 24*a**4 + 44*a**3.
4*a**2*(a + 1)*(a + 2)*(a + 3)
Let i be (1765/14120)/((-2)/(-18)). Suppose -1/8 - i*d**2 - 3/4*d - 1/2*d**3 = 0. What is d?
-1, -1/4
Let z(l) be the third derivative of -l**8/168 + 2*l**7/35 + l**6/60 - 19*l**5/15 + 32*l**3/3 - 2185*l**2 - 2. Determine a so that z(a) = 0.
-2, -1, 1, 4
Suppose -2/15*x**2 - 26/3*x - 304/5 = 0. Calculate x.
-57, -8
Factor 60*c + 0 + 95/2*c**2.
5*c*(19*c + 24)/2
Factor 175178*n + 645 - 195 - 174788*n - 58*n**2 + 2*n**3.
2*(n - 15)**2*(n + 1)
Let j(t) be the first derivative of -t**5/390 - 3*t**4/26 - 17*t**3/39 - 3*t**2/2 - 2*t + 69. Let x(n) be the second derivative of j(n). What is u in x(u) = 0?
-17, -1
Let y(b) be the first derivative of b**4/34 - 566*b**3/51 - 284*b**2/17 + 157. Determine n so that y(n) = 0.
-1, 0, 284
Let i(s) be the third derivative of s**7/840 - s**6/80 + s**5/20 - 5*s**4/48 + s**3/8 - 906*s**2. Determine a so that i(a) = 0.
1, 3
Determine p so that 226430704 - 2*p**3 + 58778664 + 75171783 + 3606*p**2 + 73782451 - 2167206*p = 0.
601
Let m(i) = -4*i**3 + 1449*i**2 + 7*i + 70. Let y(p) = -4*p**3 + 1450*p**2 + 6*p + 60. Let j(q) = -6*m(q) + 7*y(q). Factor j(o).
-4*o**2*(o - 364)
Let 192/7*m**4 - 20/7*m**5 - 300/7*m - 104/7*m**2 + 320/7*m**3 - 88/7 = 0. What is m?
-1, -2/5, 1, 11
Let r = 32806/285 - -26/285. Factor r + 1/5*f**2 + 48/5*f.
(f + 24)**2/5
Let x(l) be the third derivative of -l**6/10 + 16*l**5/15 - 2*l**4 - 32*l**3/3 - 2*l**2 + 310*l. Factor x(t).
-4*(t - 4)*(t - 2)*(3*t + 2)
Solve 512/5 + 2/5*k**3 - 512/5*k**2 - 2/5*k = 0 for k.
-1, 1, 256
Let v(w) = 2*w**4 - 3*w**3 - 55*w**2 + 157*w + 648. Let h(y) = -6*y**4 + 12*y**3 + 172*y**2 - 472*y - 1944. Let p(d) = 5*h(d) + 14*v(d). Solve p(f) = 0 for f.
-3, 3, 12
Let a be (-16)/(-7) - (-22)/(-77). Factor 10*s + 3*s**2 - 12*s**2 - 4*s**a + 8*s**2.
-5*s*(s - 2)
Let d(r) = -r**3 - 8*r**2 - 24*r - 41. Let y be d(-5). Let w(o) be the first derivative of 39 + 1/22*o**y - 1/11*o**2 + 4/11*o - 4/33*o**3. Factor w(k).
2*(k - 2)*(k - 1)*(k + 1)/11
Let o(q) be the second derivative of -13*q**7/28 + 47*q**6/15 - 327*q**5/40 + 127*q**4/12 - 7*q**3 + 2*q**2 + 69*q. Let o(j) = 0. Calculate j.
2/13, 2/3, 1, 2
Let y be ((-44)/(-10) - 2)*(70680/(-558))/(-190). Find u such that 7/5 + 6/5*u - 6/5*u**3 + 1/5*u**4 - y*u**2 = 0.