**3 - 9/4*m**5 + 16 + 0*m**2 + 25/4*m**4. Factor o(z).
5*z*(z - 5)**2*(z + 1)
Suppose 15*p = 12*p + 219. Suppose 2*z + 30 = 3*q, -5*q - z + p = 10. Factor 0 + q*d**3 + 17*d**4 + 0 + 3 - 14*d**4 + 12*d + 18*d**2.
3*(d + 1)**4
Let r(j) = 2*j**2 - 604*j - 1184. Let l(b) = -8*b**2 + 1815*b + 3550. Let x(n) = 4*l(n) + 14*r(n). Factor x(p).
-4*(p + 2)*(p + 297)
Suppose 4*a = 5*l - 624, -4*a + 368 = -23*l + 26*l. Let c be (l/(-8) - -5)/(3*-2). Determine p so that -1/2*p**2 + c*p - 1/4*p**3 - 1 = 0.
-4, 1
Suppose 0 = -68*g + 49*g - 197*g. Solve -4/3*v**3 + 8/3 + 4*v + g*v**2 = 0 for v.
-1, 2
Let r(f) be the second derivative of -f**8/8960 - f**7/224 - 7*f**6/480 - 167*f**4/12 - 56*f. Let g(d) be the third derivative of r(d). Factor g(o).
-3*o*(o + 1)*(o + 14)/4
Suppose 578 - 92 = 27*x. Factor -23 - 7*i**2 + 9*i**2 + 59 + x*i.
2*(i + 3)*(i + 6)
Let y(n) = -n**2 - 21*n + 32. Let q(d) = 4*d**2 + 109*d - 161. Let r(i) = 4*q(i) + 22*y(i). Factor r(u).
-2*(u + 6)*(3*u - 5)
Let o(f) = -3485*f**2 + 20911*f - 2. Let b be o(6). Factor 0*r**2 - 2/15*r**b + 0 + 0*r + 4/5*r**3 - 2/15*r**5.
-2*r**3*(r - 2)*(r + 3)/15
Let j(k) be the third derivative of 15*k**2 + 3/68*k**4 + 8/51*k**3 + 0 + 1/510*k**5 + 0*k. Determine m, given that j(m) = 0.
-8, -1
Let n(d) be the second derivative of d**8/1344 - 13*d**7/504 + 3*d**4/4 + d**3 - 87*d. Let k(u) be the third derivative of n(u). Determine y so that k(y) = 0.
0, 13
Let a = 554 - 542. Find m, given that 3*m**5 - 788*m**4 + 9*m**3 + a*m**2 + 260*m**4 + 265*m**4 - 12*m + 251*m**4 = 0.
-1, 0, 1, 2
Let z be (9 + -9)/7*((-70)/21)/10. Suppose 356/9*j**3 + 4/9*j**2 + 0 + 7921/9*j**4 + z*j = 0. What is j?
-2/89, 0
Let d(u) be the third derivative of u**7/315 + u**6/20 + 2*u**5/9 + u**4/3 - 1217*u**2. Factor d(v).
2*v*(v + 1)*(v + 2)*(v + 6)/3
Let z = -3850 - -3855. Let w(r) be the second derivative of 0 + 0*r**2 + 3/5*r**z + 2/15*r**6 + 2/3*r**3 - 13*r + r**4. Let w(t) = 0. What is t?
-1, 0
Let t(i) = -10*i**2 - 1016*i - 8494. Let k(n) = -3*n**2 - 290*n - 2427. Let r(x) = -18*k(x) + 5*t(x). What is j in r(j) = 0?
-19, -16
Let s(g) be the second derivative of g**7/5880 + 3*g**6/560 + 9*g**4/4 - 38*g. Let i(k) be the third derivative of s(k). Determine l, given that i(l) = 0.
-9, 0
Let g(j) = -3*j**4 + 147*j**3 - 360*j**2 + 240*j - 120. Let x(p) = -9*p**4 + 438*p**3 - 1081*p**2 + 720*p - 340. Let s(w) = 17*g(w) - 6*x(w). Factor s(u).
3*u*(u - 40)*(u - 2)*(u - 1)
Let j(n) be the third derivative of 2*n**7/105 + 7*n**6/30 - 4*n**5/15 - 26*n**4/3 + 32*n**3 - n**2 + 230*n. Determine a, given that j(a) = 0.
-6, -4, 1, 2
Suppose -3*b = -2*t - 856, t + 4*t = 4*b - 1139. Suppose -89 - b = -3*p. Factor 131*z**2 - 265*z**3 + 85*z**3 + p + 204*z**2 - 425*z + 145*z**2.
-5*(z - 1)*(6*z - 5)**2
Let g(x) be the third derivative of -x**5/30 - x**4/4 + 4*x**3/3 + 1158*x**2. Determine j so that g(j) = 0.
-4, 1
Determine i so that -1395*i + 145*i**3 - 58*i**3 + 480*i**2 - 92*i**3 = 0.
0, 3, 93
Let -2396*r + 2861*r**2 + 3155*r**2 - 1024*r - 6616*r**2 - 5*r**3 = 0. What is r?
-114, -6, 0
Let x be (1 + 240/(-135))/((2583/54)/(-41)). Solve 36 - x*q**2 - 10*q = 0 for q.
-18, 3
Let m(t) = -t**3. Let y(q) = -10*q + 512. Let i be y(52). Let a(o) = 6*o**3 + 10*o**2 - 16*o + 8. Let f(r) = i*m(r) - a(r). Factor f(k).
2*(k - 2)**2*(k - 1)
Let l = -310 + 2481/8. Let v(g) be the first derivative of -11 - l*g**4 + 0*g + 0*g**3 + 1/4*g**2. Solve v(s) = 0 for s.
-1, 0, 1
Determine o so that 0 - 214/5*o**3 + 2/5*o**4 - 416/5*o + 628/5*o**2 = 0.
0, 1, 2, 104
Let a be 280/48 + -6 - (-17)/84. Let y(l) be the third derivative of 0*l + 0 + 2/21*l**3 + a*l**4 - 1/105*l**5 - 10*l**2. What is i in y(i) = 0?
-1/2, 2
Let d be ((-160)/(-48))/((-145)/(-203)). Let 688/3*x**2 + 146/3*x**3 + 1024/3 + d*x**4 + 1/6*x**5 + 1408/3*x = 0. What is x?
-8, -2
Let n(o) be the second derivative of o**7/105 - 8*o**6/25 - 34*o**5/5 + 2*o - 565. Factor n(d).
2*d**3*(d - 34)*(d + 10)/5
Suppose 44/7*l**4 - 10/7*l - 10/7*l**5 + 164/7*l**3 + 128/7*l**2 - 4 = 0. Calculate l.
-1, 2/5, 7
Suppose -24 = -6*z - 0. Let i be -2 + (-1)/(-4) + 909/396. Factor -2/11*q**z - 2/11*q - i*q**2 + 0 - 6/11*q**3.
-2*q*(q + 1)**3/11
Let b(m) be the first derivative of -m**4/18 + 4936*m**3/27 - 1520285*m**2/9 - 6100900*m/9 - 642. What is q in b(q) = 0?
-2, 1235
Find s, given that -7*s**3 - 47/3*s**2 + 46/3 + 7*s + 1/3*s**4 = 0.
-2, -1, 1, 23
Let a be (14/1372*28*(-8)/4)/((-30)/189). Suppose -a - 12/5*p**2 + 33/5*p - 3/5*p**3 = 0. Calculate p.
-6, 1
Let k be ((-16988960)/105)/16 + 4/(-6). Let h = -10096 - k. Factor -6/7 + 75/7*i**3 - h*i**2 - 57/7*i.
3*(i - 2)*(5*i + 1)**2/7
Let n = 1 + 16. Suppose 0*x = -3*x - 4*z - 7, x + 5*z = -n. Let -x*w**2 - 3*w**3 - 6*w**4 + 8*w**2 - 3*w**2 - w**3 = 0. What is w?
-1, 0, 1/3
Let p be 1737816/86520 - -2*((-4)/10 - 0). Find c such that 3/7*c**3 - 48/7*c**2 + p*c + 486/7 = 0.
-2, 9
Let j be 10*(209/22 - 9). Let w(m) be the first derivative of -1/12*m**6 + 35 + 1/4*m - 1/4*m**2 - 1/6*m**3 + 1/20*m**j + 1/4*m**4. Let w(g) = 0. Calculate g.
-1, 1/2, 1
Suppose -28/11*y**2 - 112/11*y - 128/11 - 2/11*y**3 = 0. Calculate y.
-8, -4, -2
Let q(b) = -4*b**2 + 14*b + 14. Let s be q(-1). Let f be (1/s - 1)/(-5). Factor -f + 0*x**3 + 0*x - 1/4*x**4 + 1/2*x**2.
-(x - 1)**2*(x + 1)**2/4
Let c(v) be the second derivative of v**4/54 - 53*v**3/9 - 652*v**2/9 - 242*v + 6. Determine k so that c(k) = 0.
-4, 163
Let s(a) be the third derivative of a**8/840 + 16*a**7/525 - 17*a**6/50 + 12*a**5/25 + 63*a**4/20 + a**2 - 5439. Let s(o) = 0. Calculate o.
-21, -1, 0, 3
Let b(k) = k**2 - 14*k - 12. Let n be b(15). Let m be (-2 + -2 + n)*10/(-5). Factor 12*a**m + 29*a**2 - 5*a**3 - 21*a**2.
-5*a**2*(a - 4)
Suppose 2*s + 0*s + o = -7, s - 3*o = 14. Let i = 9 + s. Factor -g**2 + 7*g - 10*g**3 + 12*g**3 - i*g.
g*(g - 1)*(2*g + 1)
Suppose 0 = -3*l - 2*w + 38 - 4, 5*w = 5*l - 65. Factor -3*c**5 - 674461*c + l*c**4 + 674461*c - 9*c**3.
-3*c**3*(c - 3)*(c - 1)
Suppose -61*g - 3*h - 1 = -60*g, 0 = g - 4*h - 20. Suppose -28*n + 72 = g*n. Factor -8/11*p**n + 8/11*p - 6/11*p**3 + 2/11*p**5 + 0 + 4/11*p**4.
2*p*(p - 1)**2*(p + 2)**2/11
Find p such that -32/5 + 6*p**2 - 4*p + 2/5*p**4 + 4*p**3 = 0.
-8, -2, -1, 1
Solve 1/9*s**3 + 128 + 34/9*s**2 + 352/9*s = 0.
-18, -8
Let s(j) = 11*j**3 - 455*j**2 - 915*j - 463. Let v(q) = -24*q**3 + 909*q**2 + 1830*q + 927. Let t(k) = 15*s(k) + 7*v(k). Solve t(y) = 0 for y.
-152, -1
Let k = -3455 + 3458. Let w(s) be the third derivative of 1/140*s**5 + 0 - 1/56*s**4 + 0*s**k + 0*s + 10*s**2. Find b such that w(b) = 0.
0, 1
Let f(c) be the second derivative of -c**4/24 - 119*c**3/3 - 14161*c**2 + 1755*c. What is p in f(p) = 0?
-238
Let p(f) be the third derivative of 0 + 208/3*f**3 + 148/65*f**5 + 1/1365*f**7 + 0*f - 56/3*f**4 - 14/195*f**6 - 17*f**2. Determine z so that p(z) = 0.
2, 26
Suppose -1716*j**2 - 552980*j - 1653796/3 - 4/3*j**3 = 0. What is j?
-643, -1
Let b(l) be the third derivative of -4/9*l**3 - 17/945*l**7 + 29/270*l**5 + 11/27*l**4 + 0 + 0*l + 1/378*l**8 - 164*l**2 - 4/45*l**6. Let b(c) = 0. What is c?
-2, -1, 1/4, 1, 6
Let o(d) = 2*d**2 - 1. Let n(p) be the second derivative of 5*p**4/6 - 16*p**3/3 - 19*p**2 - 92*p. Let t(a) = -n(a) + 4*o(a). Factor t(b).
-2*(b - 17)*(b + 1)
Suppose 8*z + 3 = 11*z. Let n be (-6)/z - -4 - -4. Determine s so that -s + 3*s - 4*s**n + 6*s**2 = 0.
-1, 0
Suppose 0 = -7*b + j + 24, -j - 15 = -4*b - 0*j. Factor 9*o**2 + 4 + 161 - 205*o - b*o**3 + 26*o**2 + 8*o**3.
5*(o - 3)*(o - 1)*(o + 11)
Let i(l) be the first derivative of 277 + 0*l - 49/2*l**2 + 1/3*l**3. Let i(o) = 0. What is o?
0, 49
Factor -17571*f**5 - 1587*f**2 + 183*f**4 + 153*f**3 + 1968*f + 8785*f**5 + 8789*f**5 - 720.
3*(f - 1)**3*(f + 4)*(f + 60)
Let g = 45 - 46. Let v be (3*g/6)/((-2)/16). Let -57*q**4 + 118*q**v - 3*q**3 - 60*q**4 + 2*q**2 = 0. Calculate q.
0, 1, 2
Suppose 2*c - 37 = -2*g + 465, -3*c + 3*g = -765. Determine y, given that -245 - c + 497 + y**2 = 0.
-1, 1
Let c(j) be the first derivative of 3/28*j**4 - 8/7*j**3 - 96 - 30/7*j + 51/14*j**2. Factor c(v).
3*(v - 5)*(v - 2)*(v - 1)/7
Let o(n) = n**4 - 79*n**3 + 1208*n**2 + 7688*n + 6400. Let u(j) = j**4 - 78*j**3 + 1207*j**2 + 7686*j + 6400. Let l(b) = -3*o(b) + 4*u(b). Factor l(f).
(f - 40)**2*(f + 1)*(f + 4)
Factor -962