*(m + 2)/5
Let n be (-8811)/(-66) - (-2)/4. Find x such that n + 8*x - 5*x - 21*x - 149 - 3*x**2 = 0.
-5, -1
Suppose -3*o + 3 = 5*y, -y - 3*o = 8 - 11. Solve y*x + 0*x + 11*x**2 + x**2 + 3*x**3 + 0*x**2 = 0 for x.
-4, 0
Let c(n) = 277*n - 553*n + 276*n - n**2. Let i(p) = -126*p**3 + 52*p**2 - 4*p. Let h(x) = -6*c(x) - i(x). Factor h(a).
2*a*(7*a - 1)*(9*a - 2)
Let w be -8 + (4800/(-12))/(-50). Find i such that 24/13*i**3 + 2/13*i**5 + w*i**2 + 0*i - 2*i**4 + 0 = 0.
0, 1, 12
Let m(s) = 2*s**2 + 2*s**2 - 2*s + 2 - 4*s**2 + 2*s**2. Let n be m(0). Solve -4*u**n - 5*u**2 + 7*u**2 + 8 = 0.
-2, 2
Let y(l) be the first derivative of -1/5*l**4 - 31/25*l**5 + 19/15*l**3 + 48 + 0*l + 3/5*l**2 + 1/3*l**6. Suppose y(x) = 0. What is x?
-1/2, -2/5, 0, 1, 3
Let s = 15655 + -108735/7. Let n = -7615/63 + s. Factor -1/9*y**2 + n + 4/9*y.
-(y - 5)*(y + 1)/9
Let q(z) be the second derivative of 2*z**6/15 + 36*z**5 - 185*z**4/3 - 480*z**3 + 1448*z**2 + 3*z + 68. Find g, given that q(g) = 0.
-181, -2, 1, 2
Let s(a) be the first derivative of 2*a**3/3 + 18*a**2 + 90*a + 1313. Determine m, given that s(m) = 0.
-15, -3
Factor -752/7 + 2/7*m**2 - 750/7*m.
2*(m - 376)*(m + 1)/7
Suppose -14*u = -57*u + 15*u + 12*u. Let k(a) be the first derivative of 1/4*a**3 + 39 + u*a + 3/8*a**2. What is v in k(v) = 0?
-1, 0
Let p = -61 - 56. Let a be (-26)/p - 32/(-18). What is q in 2 + 14 - 927*q**2 - 12*q + 929*q**a = 0?
2, 4
Suppose -23*p + 22171 = 7428. Factor -641 + 33*w + p + 9*w**2.
3*w*(3*w + 11)
Let d(t) be the third derivative of -t**6/24 + t**5/6 + 65*t**4/24 + 25*t**3/3 + 552*t**2 - 2*t. Factor d(i).
-5*(i - 5)*(i + 1)*(i + 2)
Let x(z) be the first derivative of 192 + 0*z - 85/3*z**3 + 15/2*z**2. Solve x(s) = 0.
0, 3/17
Let i = 43 + -18. Let c = -13 + i. Factor c*z**3 - 10*z**2 - 5*z**5 + 0*z**3 + 3*z**3.
-5*z**2*(z - 1)**2*(z + 2)
Let t(p) be the first derivative of -27*p**4/4 - 835*p**3 + 2844*p**2 - 1140*p + 3760. Determine l so that t(l) = 0.
-95, 2/9, 2
Let z = 44 - 58. Let w be (4/(-14) + 176/(-14))*z. Find j, given that 177*j**2 - w*j**2 + j**3 - 4*j**3 = 0.
-1, 0
Let c(p) be the second derivative of p**4/48 + 197*p**3/6 + 38809*p**2/2 - 58*p + 1. Suppose c(v) = 0. Calculate v.
-394
Let i(z) be the second derivative of 18723*z**6/20 + 57117*z**5/40 + 119*z**4/3 + z**3/3 - 2*z - 582. Determine g, given that i(g) = 0.
-1, -2/237, 0
Let r(h) be the second derivative of -h**5/80 - 7*h**4/8 + 29*h**3/8 - 40*h**2 + 6*h + 6. Let v(f) be the first derivative of r(f). Factor v(a).
-3*(a - 1)*(a + 29)/4
Suppose -3381*s = -7023*s + 7284. Let 10*q**3 + 16*q**s + 0 + 10/3*q - 8/3*q**4 = 0. What is q?
-1, -1/4, 0, 5
Let -1095*y + 5/3*y**2 + 6550/3 = 0. What is y?
2, 655
Suppose 30*i - 23*i = 7. Factor -15 + 2*t**2 + 3*t**2 - i - t**2.
4*(t - 2)*(t + 2)
Let b(r) be the third derivative of -r**5/20 - 709*r**4/4 - 502681*r**3/2 - 1128*r**2. Solve b(s) = 0.
-709
Let p(b) = -15*b - 298. Let f = 847 - 867. Let u be p(f). Solve 4/5*h**3 - 4/5 + 8/5*h**u - 2/5*h - 2/5*h**5 - 4/5*h**4 = 0 for h.
-2, -1, 1
Let f(m) be the third derivative of 0*m - 7/24*m**4 - 1/60*m**5 + 0 + 78*m**2 + 3*m**3. Factor f(t).
-(t - 2)*(t + 9)
Let k(i) be the second derivative of i**5/40 - i**4/4 - 13*i**3/3 + 30*i**2 + 1253*i. What is c in k(c) = 0?
-6, 2, 10
Let k(w) be the third derivative of -1/180*w**6 - 1/18*w**3 + 1/72*w**4 - 1/630*w**7 + 1/1008*w**8 - 25 + 1/90*w**5 + 0*w - w**2. Factor k(r).
(r - 1)**3*(r + 1)**2/3
Let w(n) be the second derivative of n**7/63 - 332*n**6/45 + 1628*n**5/15 - 647*n**4 + 1935*n**3 - 2898*n**2 + 8165*n + 2. Solve w(g) = 0.
1, 3, 322
Suppose -4*x + 28 = -619*d + 615*d, -x = 3*d - 15. Factor d*l**3 + 8/5*l + 26/5*l**2 - 8/5.
2*(l + 1)*(l + 2)*(5*l - 2)/5
Determine o so that 48*o**3 - 30*o - 5*o**4 - 17*o + 42*o**3 + 47*o - 85*o**2 = 0.
0, 1, 17
Solve -93*x + 0*x**3 + 3629 - 371*x**2 + 3*x**3 + 287*x**2 - 3455 = 0 for x.
-2, 1, 29
Let p = 108 - -160. Suppose -15*t + 7 + t + 270*t**2 - p*t**2 - 67 = 0. Calculate t.
-3, 10
Suppose -r - 49 = -3*d, 5*d = -108*r + 111*r + 79. Factor 2/11*y**r + 24/11 - 16/11*y.
2*(y - 6)*(y - 2)/11
Let j(o) = o**3 + 9*o**2 - 6*o + 40. Suppose -4*r = 29*r + 330. Let b be j(r). Factor 0 - 8/11*u**4 + b*u + 0*u**2 + 6/11*u**5 + 2/11*u**3.
2*u**3*(u - 1)*(3*u - 1)/11
Let y(j) be the second derivative of j**7/14 - 21*j**6/5 + 651*j**5/20 - 3*j**4 - 424*j**3 - 864*j**2 + 7088*j. Determine o, given that y(o) = 0.
-1, 4, 36
Let m(c) be the third derivative of -c**8/1512 - c**7/945 + 4*c**6/135 + 2*c**5/135 - 4*c**4/9 + c**2 - 179. Find o, given that m(o) = 0.
-4, -2, 0, 2, 3
Factor 8648/5*g - 2/5*g**4 - 4602/5*g**2 + 188/5*g**3 - 4232/5.
-2*(g - 46)**2*(g - 1)**2/5
Let c = -67 + 131. Let f = c + 44. Solve -f*y**4 + 16 - 16*y - 12*y**2 + 104*y**4 + 0*y**2 + 16*y**3 = 0.
-1, 1, 2
Let m(y) be the first derivative of 1/24*y**6 + 4/3*y**3 - 260 + 0*y - 3/4*y**4 + 0*y**2 + 0*y**5. Factor m(j).
j**2*(j - 2)**2*(j + 4)/4
Let k(a) be the third derivative of -a**8/1344 - 19*a**7/840 - 11*a**6/160 + 223*a**5/240 - 133*a**4/48 + 4*a**3 - 272*a**2. Solve k(b) = 0 for b.
-16, -6, 1
Let p(d) be the second derivative of 1/150*d**6 + 21/10*d**4 + 108/5*d**2 + 19/100*d**5 + 54/5*d**3 - 22 - 2*d. Find u such that p(u) = 0.
-6, -1
Let b(n) be the first derivative of -54*n - 3/4*n**4 + 37 - 111/2*n**2 - 20*n**3. Let b(l) = 0. What is l?
-18, -1
Factor 125/4*y**2 + 5/4*y**3 + 105*y + 0.
5*y*(y + 4)*(y + 21)/4
Let l(f) be the second derivative of -1/90*f**5 + 1/3*f**3 + 11/2*f**2 + 24*f + 0 + 11/72*f**4. Let j(h) be the first derivative of l(h). Factor j(o).
-(o - 6)*(2*o + 1)/3
Let c(f) be the second derivative of f**7/42 - f**6/24 - f**5/6 + 96*f**2 + 42*f - 2. Let q(m) be the first derivative of c(m). Determine b so that q(b) = 0.
-1, 0, 2
Let i(q) = -3*q**2 + 2. Let g be i(1). Let t(n) = 3*n**2 + 3*n + 2. Let j be t(g). Factor -s**3 - j + 8*s + 3*s**2 + 12*s - s**4 - 19*s.
-(s - 1)**2*(s + 1)*(s + 2)
Let j(s) be the first derivative of 2*s**3/15 - 1704*s**2/5 + 1451808*s/5 + 1519. Determine k, given that j(k) = 0.
852
Determine s, given that -490*s**4 + 567*s - 21 - 1268*s**3 - 711*s + 21 - 50*s**5 - 812*s**2 + 20*s**2 = 0.
-6, -3, -2/5, 0
Let g = -1/84 + 1021/1092. Let s(r) be the first derivative of -19/13*r**2 + 14/39*r**3 - g*r - 23. Factor s(l).
2*(l - 3)*(7*l + 2)/13
Solve 6*h**2 + 2/11*h**5 + 0 + 612/11*h - 142/11*h**3 - 26/11*h**4 = 0.
-3, 0, 2, 17
Let x = 9856/17 - 39373/68. Factor 3/2*c - x*c**2 + 45/4.
-3*(c - 5)*(c + 3)/4
Let z = -335987/3 + 111997. Factor -64/3*x**3 + 0*x - z*x**4 + 0 - 256/3*x**2.
-4*x**2*(x + 8)**2/3
Let h(v) = -10*v**2 + 100. Let s(j) = -44*j**2 - 2*j + 402. Let o(r) = -9*h(r) + 2*s(r). Factor o(l).
2*(l - 8)*(l + 6)
Suppose 7*g - 19*g = -24. Factor w**3 + 15*w**3 - 5*w**4 + 19*w**3 + 572*w**2 - 532*w**g.
-5*w**2*(w - 8)*(w + 1)
Find u such that -9315*u + 1393489 + 5*u**2 - 1393489 = 0.
0, 1863
Let q(h) be the second derivative of 0*h**2 + 1/6*h**4 - 1/168*h**7 - 4 - 17/80*h**5 + 18*h + 1/12*h**6 + 0*h**3. Factor q(a).
-a**2*(a - 8)*(a - 1)**2/4
Let w(c) = c**2 - 5*c - 11. Let x be w(7). Factor 56*l - x*l**2 + 108 - l**2 + 56*l + 23*l - 31*l.
-4*(l - 27)*(l + 1)
Let q(d) be the third derivative of -d**7/840 + d**6/120 - d**5/120 - d**4/24 + d**3/8 + 1056*d**2. Suppose q(p) = 0. What is p?
-1, 1, 3
Let c be (-81)/216*(-8)/30*7/21. Let o(j) be the third derivative of -1/15*j**5 + 2/105*j**7 + 13*j**2 + 0 - 1/6*j**4 + 0*j**3 + 0*j + c*j**6. Factor o(n).
4*n*(n - 1)*(n + 1)**2
Let k be 2/1 + 9/(-3 + 4). Let 36*u - 10*u**2 + 24 + 27*u**2 - 9*u**3 - k*u**2 - 3*u**4 = 0. What is u?
-2, -1, 2
Solve s - 622*s**4 + 38*s**3 + 64*s**3 + 614*s**4 - 2*s**5 - s + 108*s**2 = 0 for s.
-9, -1, 0, 6
Suppose 0 = 1009*i - 481*i - 502*i - 52. What is b in -2/7*b**i - 24/7*b - 72/7 = 0?
-6
Let x = 728 - 6551/9. Let d(j) be the third derivative of 0*j + 1/3*j**3 + 1/90*j**5 - 14*j**2 + 0 - x*j**4. Let d(f) = 0. Calculate f.
1, 3
Let q(t) be the second derivative of 195*t - 9/20*t**5 + 6*t**3 + 0 - 1/10*t**6 + 1/2*t**4 + 12*t**2. Factor q(a).
-3*(a - 2)*(a + 1)*(a + 2)**2
Suppose -8*v + 54 = 10*v. Find r such that 16*r**2 - 5*r**4 + 2*r**v + 5*r**5 - 15 - 7*r + 13 - 9*r**4 = 0.
-1, -1/5, 1, 2
Suppose 2/15*h**5 - 24*h - 80/3 + 8/5*h**4 + 82/15*h**3 + 4/15*h**2 = 0