z) = 0. Calculate z.
-2/5, 0, 1
Suppose -16 - 66 = -41*d. Find p such that -5*p**4 + 37*p**2 + 217*p**3 + 20*p - 101*p**3 - 106*p**3 - 2*p**d = 0.
-1, 0, 4
Let h be (1/5)/(2/50) + 0. Solve -1374*y + 0*y**3 + 1369*y + h*y**3 = 0 for y.
-1, 0, 1
Suppose -10*j**4 - 2216*j + 762*j**3 - 333*j**2 - 5*j**4 + 2372*j + 1266*j**2 = 0. What is j?
-1, -1/5, 0, 52
Let d(z) be the third derivative of -1/12*z**5 + 1/42*z**7 + 0*z**3 + 46*z**2 - 1/12*z**6 + 5/12*z**4 + 0 + 0*z. Find x, given that d(x) = 0.
-1, 0, 1, 2
Suppose 176*p - 565 - 540 + 225 = 0. Suppose p*l - 16/3 + 1/3*l**2 = 0. What is l?
-16, 1
Find s, given that 288/7*s + 286/7 + 2/7*s**2 = 0.
-143, -1
Let k(m) be the first derivative of -m**6/15 + 24*m**5/25 - 2*m**4 - 4*m**3/15 + 21*m**2/5 - 4*m - 511. Solve k(b) = 0.
-1, 1, 10
Let t(k) be the third derivative of k**8/84 + 6*k**7/35 + k**6/5 - 16*k**5/15 - 82*k**2 + 2*k. What is w in t(w) = 0?
-8, -2, 0, 1
Let s(x) be the second derivative of -5*x**7/14 + 801*x**6/10 + 9723*x**5/100 - 3361*x**4/20 - 1608*x**3/5 - 966*x**2/5 + 6959*x. Determine b so that s(b) = 0.
-1, -2/5, 1, 161
Suppose -85 = -5*x - 12*x. Let k(d) be the second derivative of 1/72*d**4 + 0*d**3 + 0*d**2 + 0 + 1/120*d**x + 6*d. Solve k(g) = 0 for g.
-1, 0
Let x(l) = 699*l + 4202. Let n be x(-6). Determine p so that -32/5*p**3 + 4/5*p**4 - n*p + 0 - 76/5*p**2 = 0.
-1, 0, 10
Suppose 62*s = 43*s. Let m(u) be the first derivative of -13 + 1/2*u**2 + s*u + 1/3*u**3. Determine j so that m(j) = 0.
-1, 0
Let c(h) be the third derivative of 0*h - 1/210*h**5 + 3 - 11*h**2 + 0*h**3 - 1/84*h**4. Find g, given that c(g) = 0.
-1, 0
Let u(a) be the second derivative of -a**7/7 + 989*a**6/15 - 329*a**5/5 + 1403*a + 1. Solve u(d) = 0.
0, 2/3, 329
Suppose -p - 13*w = -8*w - 2751, w - 2 = 0. Let v = p - 8221/3. Factor -2/3*d**2 + v*d + 4/3.
-2*(d - 2)*(d + 1)/3
Let r(k) be the third derivative of -k**7/420 + 5*k**6/48 - 107*k**5/120 + 143*k**4/48 - 5*k**3 + 179*k**2 + 5*k. Factor r(g).
-(g - 20)*(g - 3)*(g - 1)**2/2
Let f = -371278 + 371280. Solve 1/9*p**f + 28/9*p + 196/9 = 0.
-14
Let j = -78734 - -1023574/13. Factor 34/13 - 2/13*s**2 + j*s.
-2*(s - 17)*(s + 1)/13
Factor 154 + 59*i**2 - 44 + 3*i**2 - 31*i**3 + 216*i + 27*i**3 + 40*i**2.
-2*(i + 1)**2*(2*i - 55)
Let w(z) be the third derivative of -z**7/840 + z**6/180 + z**5/40 - 11*z**3/3 + 93*z**2. Let s(c) be the first derivative of w(c). Factor s(m).
-m*(m - 3)*(m + 1)
Let o(n) = 5*n - 13 + 2*n - 8*n + 0*n. Let w be o(-15). Factor 6*h**2 - 5*h**w + 4*h**2 - 10*h.
5*h*(h - 2)
Let l = 211497/141002 - -3/70501. Factor -1/2*m**4 + 0 + 0*m + l*m**2 + m**3.
-m**2*(m - 3)*(m + 1)/2
Factor -4/5*m + 1/10*m**4 + 0 + 1/5*m**2 + 1/2*m**3.
m*(m - 1)*(m + 2)*(m + 4)/10
Let g = 6 - 112. Let i = g - -109. Suppose 1401 - 1401 + 2*w**i + w**4 = 0. Calculate w.
-2, 0
Let n(i) = 2*i**2 - 7*i + 7. Let l be n(1). Factor -15 + 18*r + 140*r**l + 0 - 143*r**2.
-3*(r - 5)*(r - 1)
Let n be 0 - (-12 - (-480)/36)*-3 - (-49)/(-42). Factor 1/6*p**2 + 7 + n*p.
(p + 3)*(p + 14)/6
Let l(u) be the first derivative of u**7/5460 + 17*u**6/1170 + 289*u**5/780 - 184*u**3/3 + 232. Let f(b) be the third derivative of l(b). Factor f(g).
2*g*(g + 17)**2/13
Let t(i) = 2*i**4 - 41*i**3 + 107*i + 70. Let a(s) = s**4 - 2*s**3 - s**2. Let p(m) = -3*a(m) + t(m). Factor p(o).
-(o - 2)*(o + 1)**2*(o + 35)
Suppose -4*m + 2*a + 501 = 3*a, -4*m + a + 499 = 0. Suppose 6*b - m = b. Suppose -b*s + 25*s**3 + 23 - s**4 - 8 - 9*s**4 - 5 = 0. Calculate s.
-1, 1/2, 1, 2
Determine h, given that 0*h**3 + 676*h**2 + 52*h - h**3 - 625*h**2 = 0.
-1, 0, 52
Let v be (-15)/(-40) + (-141)/(-8). Factor 2*o**2 - 1010 + 535 - v*o + 503.
2*(o - 7)*(o - 2)
Let w(f) be the third derivative of -f**7/42 + 37*f**6/4 - 12097*f**5/12 - 5180*f**4 - 31360*f**3/3 - 5709*f**2. Let w(p) = 0. Calculate p.
-1, 112
Let a(y) be the first derivative of -10/27*y**3 + 41 + 11/108*y**4 + 0*y - 1/270*y**5 + 25/2*y**2. Let n(u) be the second derivative of a(u). Factor n(o).
-2*(o - 10)*(o - 1)/9
Let o = -9/52 - -153/208. Let c(r) be the first derivative of -9/2*r**2 - 25 - o*r**4 - 11/4*r**3 - 3*r. Factor c(p).
-3*(p + 1)*(p + 2)*(3*p + 2)/4
Let o be 100/(-120) + (-322)/(-345). Determine n, given that 1/2*n**2 - 1/2*n**4 + 0*n + o*n**3 + 0 - 1/10*n**5 = 0.
-5, -1, 0, 1
Factor 2*g**4 + 229 + 804*g**2 + 191 - 572 - 920 - 220*g**3 - 54*g**3 + 8*g.
2*(g - 134)*(g - 2)**2*(g + 1)
Let x(w) be the third derivative of -w**5/240 - 137*w**4/96 + 143*w**3/4 - 3*w**2 - 100. Factor x(y).
-(y - 6)*(y + 143)/4
Let o(z) be the second derivative of z**4/6 - 833*z**3/3 + 832*z**2 + 1415*z. Find a such that o(a) = 0.
1, 832
Factor 128/11 + 68/11*v + 2/11*v**2.
2*(v + 2)*(v + 32)/11
Let t(b) be the second derivative of -b**4/24 - 41*b**3/12 + 33*b**2 - 1311*b. Factor t(r).
-(r - 3)*(r + 44)/2
Let j(r) be the first derivative of 392/3*r + 31/12*r**4 + 322/3*r**2 - 161 + 94/3*r**3 + 1/15*r**5. Determine l so that j(l) = 0.
-14, -2, -1
Suppose -25180*f**2 - 5*f**3 - 230 + 436*f + 24960*f**2 + 19*f = 0. Calculate f.
-46, 1
Suppose 23/8*t**4 + 52*t - 25/2*t**3 - 1/8*t**5 + 64 - 55/2*t**2 = 0. Calculate t.
-2, -1, 2, 8, 16
Let z(k) be the first derivative of k**6/240 - 9*k**5/80 - 5*k**4/8 - 17*k**3/3 - 76. Let j(a) be the third derivative of z(a). Factor j(h).
3*(h - 10)*(h + 1)/2
Let t(u) be the third derivative of -u**8/3360 + 11*u**7/2520 - u**6/45 + 29*u**5/15 + 82*u**2. Let m(x) be the third derivative of t(x). Factor m(f).
-2*(f - 1)*(3*f - 8)
Let -16*m**2 - 2*m**3 + 0*m**3 + 2178 + 77*m**2 + 5*m**3 + 759*m + 23*m**2 = 0. What is m?
-11, -6
Factor -15 - 1/4*s**2 - 4*s.
-(s + 6)*(s + 10)/4
Factor 282*t + 0 - 567/2*t**2 + 3/2*t**3.
3*t*(t - 188)*(t - 1)/2
Let s(k) = -k**2 - 2*k + 3. Let w be s(-3). Suppose 13*v + 0*v - 26 = w. Find y, given that 60*y - 109*y**3 + 74*y**3 + 40 - 10*y**2 + 3*y**5 + v*y**5 = 0.
-2, -1, 2
Let t(l) = l**2 - 10*l - 21. Let m be (22/(-33))/((-1)/18). Let h be t(m). Let -5 - 16 + 4*c**h + 20*c**2 + 1 - 4*c = 0. Calculate c.
-5, -1, 1
Let o be 1718/(-4) - (-45)/150. Let y = o - -430. Factor -2*u - 4/5 - y*u**2.
-2*(u + 2)*(2*u + 1)/5
Suppose 360*n - 9 = 357*n, 6465 = -3*m - n. Let h = m + 2158. Factor 2/21*d**h - 6/7 + 0*d.
2*(d - 3)*(d + 3)/21
Suppose -1526 = -36*b + 130. Let z be -3*8/(-3) + b + -52. Find p, given that -27/4*p**z + 3/2*p + 27/4*p**4 - 3/2*p**3 + 0 = 0.
-1, 0, 2/9, 1
Let z be (-15)/(-135) + 1 + (-32)/(-36). Let x be 9 + (-91)/(26/z). Factor 6/11*p**x + 2/11*p**3 - 6/11 - 2/11*p.
2*(p - 1)*(p + 1)*(p + 3)/11
Let b(c) be the first derivative of 2*c**3/27 + 163*c**2/9 - 220*c/3 - 2699. Factor b(m).
2*(m - 2)*(m + 165)/9
Find p such that 112*p + 16/7*p**3 - 544/7 + 2/7*p**4 - 258/7*p**2 = 0.
-17, 1, 4
Suppose -3*a = 4*x - 21, 3*a - 24*x - 10 = -73. Let w(f) be the second derivative of 0 - 38*f + 5/12*f**4 + 0*f**a - 10*f**2. Factor w(i).
5*(i - 2)*(i + 2)
Let y = 22 + -8. Suppose -g + 8*g = y. Solve 3 - 5*j**3 - 7*j**3 + 13 + 4*j**g + 0 + 32*j = 0.
-1, -2/3, 2
Let d(m) be the second derivative of -4/15*m**3 - 3/50*m**5 + 1/75*m**6 - 140*m + 1 + 24/5*m**2 - 3/5*m**4. Find l such that d(l) = 0.
-2, 1, 6
Let f(s) = -5*s**2 + 30*s - 50. Let i(k) = k**2 - k - 1. Suppose 22 - 2 = -2*j. Let o(a) = j*i(a) - f(a). Suppose o(w) = 0. Calculate w.
-6, 2
Let u(c) be the first derivative of -2/3*c**3 + 242 - 31*c**2 - 60*c. Factor u(y).
-2*(y + 1)*(y + 30)
Suppose 0 = 2*y + 28490 - 28500. Factor -2/9*d**y - 2/9*d**2 + 2/9*d**4 + 2/9*d**3 + 0*d + 0.
-2*d**2*(d - 1)**2*(d + 1)/9
Suppose -18*s + 3*u - 21 = -21*s, 0 = 3*s - 3*u - 9. Let b(i) be the third derivative of 0*i + 1/36*i**4 + 0 + 10*i**2 + 1/18*i**3 + 1/180*i**s. Factor b(p).
(p + 1)**2/3
Suppose 4*w - 22 = -2*b, 26*b - 24*b - 4 = 5*w. Factor 46/13*g - 24/13 - 20/13*g**w - 2/13*g**3.
-2*(g - 1)**2*(g + 12)/13
Let i(n) = 2*n**2 + 30*n - 101. Let b be i(-19). Let f = -51 + b. Let f*l**2 + 8/7*l - 2/7*l**4 - 6/7*l**3 + 0 = 0. What is l?
-2, 0, 1
Let 2700/7 + 66/7*k**3 + 1980/7*k + 3/7*k**4 + 543/7*k**2 = 0. What is k?
-6, -5
Suppose 346*a - 1043 - 319 = -335*a. Factor 30*h + 19/4*h**a + 1/4*h**3 + 63.
(h + 6)**2*(h + 7)/4
Find l, given that 265*l - 87 + 480*l - 548*l**2 - 239 - 4*l**4 - 322 + 371*l + 84*l**3 = 0.
1, 2, 9
Let k be (-7 + -1)*747/(-10458). Factor -k*y**3 - 52/7*y