
Suppose -41 - 199*z**3 - 424*z**2 + 7*z**3 - 4*z**5 + 112*z**4 + 1161*z + 353 - 965*z = 0. Calculate z.
-1, 1, 3, 26
Let t(l) be the first derivative of 19*l**5 + 191*l**4/2 + 161*l**3 + 100*l**2 + 4*l + 1526. Factor t(d).
(d + 1)**2*(d + 2)*(95*d + 2)
Suppose 12*l + 12 - 18 = 6. Let w(p) be the first derivative of 14/39*p**3 - l + 2/65*p**5 + 0*p - 5/26*p**4 - 3/13*p**2. Let w(a) = 0. Calculate a.
0, 1, 3
Let -343/3*y**2 + 1375/6*y - 344/3 - 1/6*y**3 = 0. Calculate y.
-688, 1
Let m(j) = 374298442*j**3 + 5889312*j**2 + 30876*j + 54. Let p(b) = -9*b**3 - 2*b. Let a(v) = 2*m(v) - 12*p(v). Solve a(x) = 0.
-3/572
Let z(r) be the first derivative of -r**6/30 + 7*r**5/15 + 14*r**4/3 + 40*r**3/3 - 38*r**2 + 67. Let i(c) be the second derivative of z(c). Factor i(q).
-4*(q - 10)*(q + 1)*(q + 2)
Let n = 375 + -367. Factor -3*j**2 + n*j**2 + 38476 + 120*j - 38476.
5*j*(j + 24)
Let g = -59287 + 59289. Factor 35/2*j**3 + 0 - 25/2*j**g - 30*j.
5*j*(j + 1)*(7*j - 12)/2
Determine h, given that 18/7*h**4 + 60/7*h**3 + 18/7 + 66/7*h + 2/7*h**5 + 92/7*h**2 = 0.
-3, -1
Suppose 0 = 39*t - 5*t - 10812. Let z be (-5)/((-510)/t) - 8/68. Find h such that 21/5*h**2 - 12/5 - 3*h**z + 24/5*h = 0.
-1, 2/5, 2
Find l, given that -6424/15*l - 5158472/15 - 2/15*l**2 = 0.
-1606
Let a be (-2)/(-6) + 46/6. Suppose 4*s - 8*s + 29 = -5*l, -39 = -3*s - 2*l. Factor -a + 0*q - s*q - 4*q**4 - 20*q**3 - 20*q + 3*q - 36*q**2.
-4*(q + 1)**3*(q + 2)
Let t(c) be the third derivative of 13/12*c**3 - 41/96*c**4 + 0 + c**2 - 43*c + 1/80*c**5. Factor t(r).
(r - 13)*(3*r - 2)/4
Suppose -16 = 4*w, 143*c - 4 = 145*c + 2*w. Factor 0 - 16/7*f + 2/7*f**3 + c*f**2.
2*f*(f - 1)*(f + 8)/7
Suppose v - 6 = -2*v. Let c(y) = -5*y**3 + 75*y**2 - y + 15. Let s be c(15). Suppose w**2 - 3 + 0*w**v + 3*w + s - 5*w = 0. Calculate w.
-1, 3
Let o(g) be the first derivative of 2*g**5/45 + g**4 - 2*g**3/27 - 2*g**2 + 7789. Find i, given that o(i) = 0.
-18, -1, 0, 1
Factor 158*n - 215*n**3 + 420 + 116*n + 108*n**3 + 105*n**3 + 28*n**2.
-2*(n - 21)*(n + 2)*(n + 5)
Let y(a) be the second derivative of -a**7/126 + 8*a**6/45 + 19*a**5/15 + 20*a**4/9 - a - 48. Factor y(n).
-n**2*(n - 20)*(n + 2)**2/3
Let d be 0*((-1080)/81)/(-40). Find q, given that d + 0*q - 2*q**2 + 1/5*q**3 = 0.
0, 10
Let w(l) be the third derivative of -11*l**2 + 1/30*l**6 + 0 + 13/2*l**4 + 30*l**3 + 3*l + 11/15*l**5. Find b such that w(b) = 0.
-5, -3
Let k = -3379 - -1843. Let c be 4 + (k/40)/12. Factor -b**2 + c*b + 0 + 1/5*b**3.
b*(b - 4)*(b - 1)/5
Let l = 331293/2 - 165504. Suppose 25/2*s**5 + 0 + 0*s - 45*s**2 - 80*s**4 + l*s**3 = 0. What is s?
0, 2/5, 3
Let t(r) be the first derivative of 13/4*r**3 + 45/4*r - 87/8*r**2 + 3/16*r**4 + 25. Let t(q) = 0. What is q?
-15, 1
Suppose -35516*o = -35562*o + 276. Determine r so that -o*r**4 + 15*r**3 - 14*r**2 + 0 + 9/2*r + 1/2*r**5 = 0.
0, 1, 9
Let r = -143 + 145. Let k = 3 - -2. Suppose 11 - 15*g + 40*g - k*g**r - 5*g**2 - 26 = 0. What is g?
1, 3/2
Let k be ((-1)/(-2))/((-2)/1608). Let m = k + 406. Determine g so that -8*g**2 + 1/2*g**5 - 3*g**m + 9/2*g + 7*g**3 - 1 = 0.
1, 2
Let x(o) be the second derivative of -3*o**4/20 - 1301*o**3/10 + 651*o**2/5 + o + 861. Determine d so that x(d) = 0.
-434, 1/3
Let m(i) be the third derivative of -3*i**2 + 0*i - 1/4*i**4 - 26 - 4/3*i**3 - 1/60*i**5. Factor m(j).
-(j + 2)*(j + 4)
Suppose 5*o + 2350 = 5*r, 2*r - 136 = -5*o + 783. Let b = 469 - r. Determine z, given that z**b + 2*z - 1/2*z**3 - 4 = 0.
-2, 2
Let c(l) be the second derivative of 4/5*l**5 + 0 + 0*l**2 + 95*l + 17/12*l**4 + 0*l**3 - 1/30*l**6. Find u, given that c(u) = 0.
-1, 0, 17
Let x(p) = -p**3 - 2*p**2 + 60*p - 68. Let j be x(6). Let f(h) be the first derivative of -25 + 12*h + 20/3*h**3 + h**j + 14*h**2. Determine a so that f(a) = 0.
-3, -1
Let d(c) = 280*c + 29404. Let z be d(-105). Let 2048*x - 17/2*x**z - 704*x**2 - 2048 + 1/4*x**5 + 112*x**3 = 0. Calculate x.
2, 8
Let t(n) = 11*n**2. Let h be t(-3). Let w = 101 - h. Solve -9*r**2 + 21*r**2 - 12*r + 16 - 10*r**2 - 6*r**w = 0.
-4, 1
Determine z so that -132*z - 153*z**5 - 584*z**2 + 196*z**4 + 6*z**3 - 157*z**5 + 308*z**5 - 260*z = 0.
-1, 0, 2, 98
Let c(o) be the second derivative of -o**4/21 + 124*o**3/21 - 122*o**2/7 + 761*o. Determine g, given that c(g) = 0.
1, 61
Let j be (1/(-9))/((-46)/115*5/3). Let j*b**2 + 5/6 - b = 0. Calculate b.
1, 5
Suppose 1204 - 1204 = 250*x. Factor b**2 + 7/5*b + x.
b*(5*b + 7)/5
Let g be (-2 - (-9)/2)*(-16)/(-20). Let o(m) = 46*m - 6. Let c be o(g). Factor -86*b + 2*b**2 + c + 126*b + 114.
2*(b + 10)**2
Find d, given that -410 + 367*d + 341*d**2 - 1382*d - 10*d**3 - 5*d**3 + 299*d**2 = 0.
-1/3, 2, 41
Find j, given that -21675 + 1952*j**2 - 54*j**3 + 59330/3*j + 1/3*j**4 = 0.
-9, 1, 85
Let y(v) be the third derivative of 23*v**6/360 + v**5/30 - 23*v**4/72 - v**3/3 - v**2 + 1372*v. Let y(j) = 0. Calculate j.
-1, -6/23, 1
Determine l, given that -320/3*l + 512/3 - 478/3*l**2 + 1/3*l**5 + 319/3*l**3 - 34/3*l**4 = 0.
-1, 1, 2, 16
Solve 324/13*h**2 + 2/13*h**5 - 648/13*h + 432/13 - 46/13*h**3 - 8/13*h**4 = 0.
-6, 2, 3
Suppose 0 = -9*u + 10*u. Let q(t) = t**2 + t + 4. Let d be q(u). Suppose -6 + 6*c - d*c**2 - 14*c - 6*c = 0. Calculate c.
-3, -1/2
Let d(p) = -5*p**4 - 40*p**3 - 5*p**2 + 90*p - 390. Let f(n) = -n**3 - n**2 + 2*n - 10. Let i(w) = -d(w) + 35*f(w). Let i(u) = 0. Calculate u.
-2, 1, 2
Let z(m) be the third derivative of -m**8/112 - m**7/70 + m**6/24 + m**5/10 - 79*m**3/6 + 3*m**2 + m. Let f(x) be the first derivative of z(x). Factor f(u).
-3*u*(u - 1)*(u + 1)*(5*u + 4)
Suppose 181*z = 130*z + 204. What is h in 4/5*h**z - 16/5*h**2 + 0 + 0*h - 2/5*h**5 + 8/5*h**3 = 0?
-2, 0, 2
Let i(u) = 3*u**4 + 58*u**3 + 87*u**2 - 370*u + 234. Let v(r) = -27*r**4 - 521*r**3 - 783*r**2 + 3332*r - 2115. Let c(y) = -19*i(y) - 2*v(y). Factor c(p).
-3*(p - 1)**2*(p + 4)*(p + 18)
Suppose -2*b = -0*b - 10. Suppose -10*a + 2137 = 35*a + 1912. Factor -b*s**4 + 11*s - 11*s + a*s**2.
-5*s**2*(s - 1)*(s + 1)
Let r(u) be the second derivative of -u**6/15 - 64*u**5/5 - 1916*u**4/3 + 5632*u**3 - 17424*u**2 + 5*u + 199. Suppose r(l) = 0. Calculate l.
-66, 2
Suppose 3*m - 21 = 87. Let f be 8/m - 32/(-18). Find b such that -9*b**4 - f*b - b + 8*b**4 - 7*b**2 - 5*b**3 = 0.
-3, -1, 0
Suppose 2*b = -5*a - 6, -2*b - 16 = 5*a - 5*b. Let m(d) = -56*d**3 + 2*d**2 + 3*d + 2. Let s be m(a). Factor 5*c**2 + 447*c + 0 - s*c - 10.
5*(c - 2)*(c + 1)
Suppose -2*i + 1 = 3*z, -5*z = -i - 2*z + 5. Find w, given that -28*w**3 - 101*w + 435*w + 32 - 198*w + 76*w**i = 0.
-1, -2/7, 4
Suppose -16*j + 4*f = -13*j - 29, 2*j - 1 = -f. Suppose j*s + 3718 = 3730. Find g such that -2/5*g**3 + 0*g**s + 1/5*g**5 + 1/5*g + 0*g**2 + 0 = 0.
-1, 0, 1
Suppose -101 + 21 = -40*d. Let v(u) be the second derivative of 0 + 10*u + 1/6*u**3 + 0*u**d + 1/36*u**4. Suppose v(g) = 0. What is g?
-3, 0
Let u(g) be the first derivative of -5*g**6/12 + 17*g**5/2 - 40*g**4 - 520*g**3/3 + 1600*g**2 - 2560*g + 289. Solve u(c) = 0 for c.
-4, 1, 4, 8
Let o(v) be the first derivative of -194 + 1/3*v**3 + 39/2*v**2 + 38*v. Factor o(l).
(l + 1)*(l + 38)
Let u be -16 + (-48375)/(-2975) - (36/17 - 2). Let g(h) be the first derivative of -5/21*h**3 - 2/7*h**2 + u*h + 35. Let g(p) = 0. Calculate p.
-1, 1/5
Let w(t) be the third derivative of -1/3*t**4 + 1/60*t**6 + 0*t - 1/120*t**7 + 1/6*t**3 + 257*t**2 + 9/80*t**5 + 0. Determine i so that w(i) = 0.
-2, 1/7, 1, 2
Let w(b) be the second derivative of -b**5/16 + 1279*b**4/16 + 513*b**3/2 - 769*b**2/2 - 4020*b - 1. Suppose w(u) = 0. Calculate u.
-2, 2/5, 769
Let c = 10 + -7. Let i be (209 - 255) + 16*3. Determine t so that -25/2*t**i + 5/2*t**c - 5/2*t + 25/2 = 0.
-1, 1, 5
Let y(p) be the third derivative of 0 + 1/20*p**4 - 195*p**2 + 0*p**3 + 0*p - 7/100*p**5. Factor y(j).
-3*j*(7*j - 2)/5
Let d(s) = -s**3 - 6*s**2 - 3*s - 61. Let u be d(-7). Factor 27*b**3 + 30*b**2 - 5*b**4 - 31*b**3 + u*b**3.
-5*b**2*(b - 3)*(b + 2)
Let q(r) be the second derivative of 15/7*r**2 + 2/3*r**3 + 0 - 51*r - 1/42*r**4. Factor q(s).
-2*(s - 15)*(s + 1)/7
Let v be ((-19)/3 - (-29)/87) + 404. Let d = -398 + v. Find s, given that d + s**2 - 4/3*s + 1/3*s**3 = 0.
-4, 0, 1
Let t(x) be the second derivative of -1/78*x**4 - 17/39*x**3 - 10*x + 3 + 0*x**2. Factor t(o).
-2*o*(o 