b + b**2 + 29*b + 29*b + 1. Let m(n) = 3*n**3 - 6*n**2 + 6*n - 6. Let d(r) = -6*j(r) - m(r). Find g such that d(g) = 0.
0
Let f(z) = -5*z**3 + 5305*z**2 + 10*z + 20. Let j(l) = 3*l**3 - 2654*l**2 - 4*l - 8. Let c(o) = 2*f(o) + 5*j(o). Let c(p) = 0. What is p?
0, 532
Let g be (-13)/(-4) - (35 - 32). Let y(x) be the second derivative of g*x**2 + 15*x + 0 - 5/12*x**3 + 1/6*x**4. Suppose y(m) = 0. Calculate m.
1/4, 1
Let f(y) be the second derivative of -y**6/120 + y**5/24 - y**4/12 - 16*y**3 - 2*y - 18. Let b(g) be the second derivative of f(g). Find k such that b(k) = 0.
2/3, 1
Let u(x) be the third derivative of -x**5/150 - 13*x**4/5 - 153*x**3/5 + 12*x**2 + 45*x. Factor u(z).
-2*(z + 3)*(z + 153)/5
Let 3 + 12143/4*k**2 + 3721/4*k**4 + 3782*k**3 + 187*k = 0. Calculate k.
-3, -1, -2/61
Find y such that 192*y + 3*y**5 - 304*y**2 - 129572*y**4 + 176*y**3 + 129528*y**4 + y**5 = 0.
0, 2, 3, 4
Determine t so that 2/5*t**2 - 362/5 + 72*t = 0.
-181, 1
Let l = 102 + -455. Let q = -1055/3 - l. Factor 0*j**2 - 2*j + 2/3*j**3 - q.
2*(j - 2)*(j + 1)**2/3
Let p(j) = -355*j - 1418. Let n be p(-4). Let a(m) be the first derivative of m**n + 32 + 0*m + 1/2*m**4 - 4/3*m**3. Find z, given that a(z) = 0.
0, 1
Let m(c) be the first derivative of -c**6/18 - 4*c**5/15 + c**4/2 + 4*c**3 + 9*c**2/2 + 426. What is w in m(w) = 0?
-3, -1, 0, 3
Let g(b) = 5*b + 10. Let h be g(-2). Suppose h = 2*r - 3*r + 18. Factor 5 + 4*f**2 - r*f + 7 + 2*f.
4*(f - 3)*(f - 1)
Suppose 111259*r - 111240*r - 57 = 0. Factor 2/7*u**4 + 2/7*u**5 - 4/7*u - 6/7*u**r + 0 - 10/7*u**2.
2*u*(u - 2)*(u + 1)**3/7
Let p = -290 + 293. Suppose -18*w**2 - 46*w - 5*w**3 + 19*w + 2*w**p = 0. Calculate w.
-3, 0
Let j(v) be the first derivative of v**6/15 + 46*v**5/25 - 15*v**4/2 + 154*v**3/15 - 26*v**2/5 + 806. What is o in j(o) = 0?
-26, 0, 1
Let b(l) be the second derivative of 5*l**4/36 - 6620*l**3/9 + 4382440*l**2/3 + 391*l. Factor b(n).
5*(n - 1324)**2/3
Let r(p) be the first derivative of -75*p + 13/15*p**5 + 55/12*p**4 - 376/9*p**3 - 161 + 355/4*p**2 + 1/36*p**6. Solve r(s) = 0 for s.
-15, 1, 2
Let y(s) = 5*s**2 + 4325*s + 946135. Let x(f) = -5*f**2 - 4320*f - 946137. Let c(i) = -5*x(i) - 6*y(i). Find h such that c(h) = 0.
-435
Let s(j) = -29*j + 909. Let r be s(31). Let d(h) = 2*h. Let v be d(1). Let 235*m + 227*m - r*m**v - 456*m = 0. Calculate m.
0, 3/5
Let m(k) be the second derivative of k**5/20 + 1087*k**4/12 - 2177*k**3/6 + 1089*k**2/2 - 862*k. Factor m(v).
(v - 1)**2*(v + 1089)
Suppose -8*z = 9*z - 2*z. Let q(r) be the third derivative of z*r + 1/840*r**6 - 1/210*r**5 - 11*r**2 + 0*r**3 + 0 - 1/56*r**4. Find j, given that q(j) = 0.
-1, 0, 3
Let p(n) be the third derivative of -1/24*n**4 + 0*n - 1/300*n**5 + 1/5*n**3 - 3 + 49*n**2. Determine i, given that p(i) = 0.
-6, 1
Factor -1/2*r**3 - r**2 + 4 + 2*r.
-(r - 2)*(r + 2)**2/2
Factor 77/2*b + 1/2*b**3 - 15*b**2 + 54.
(b - 27)*(b - 4)*(b + 1)/2
Let l(s) be the second derivative of 0 + 0*s**3 + 1/30*s**5 + 0*s**2 + 1/18*s**4 + 109*s. What is k in l(k) = 0?
-1, 0
Let r(i) be the second derivative of -i**5/20 + 427*i**4/36 - 15265*i**3/18 + 5041*i**2/6 - 2608*i - 1. Let r(h) = 0. What is h?
1/3, 71
Let s = -294 + 294. Suppose 5*l + 6 = 3*p, -2*l - l + p - 2 = s. Factor l*r + 0*r**2 - 4/3*r**4 + 2/3*r**5 + 2/3*r**3 + 0.
2*r**3*(r - 1)**2/3
Let b(y) be the first derivative of -3*y**5/10 + 3*y**4/16 + 23*y**3/4 - 69*y**2/4 + 18*y - 3954. Find w such that b(w) = 0.
-4, 1, 3/2, 2
Let l(j) be the third derivative of -3*j - 1/32*j**4 + 1/480*j**6 + 16*j**2 + 0 - 1/12*j**3 + 0*j**5. Let l(v) = 0. Calculate v.
-1, 2
Let l = -133 + 144. Suppose -q + 2*q - 13 = -5*v, l = 5*v + 2*q. Suppose 20 + 66*k**2 + 5*k**v + 26*k**2 - 30*k**4 - 80*k - 7*k**2 = 0. What is k?
-2, 1/2, 2/3, 1
Let p be 10 - 2 - (410/60 - (-8)/(-6)). Factor 1/2*w**2 + p*w + 2.
(w + 1)*(w + 4)/2
Let p(w) be the first derivative of w**4/26 + 5970*w**3/13 + 26730675*w**2/13 + 53194043250*w/13 + 4581. Factor p(m).
2*(m + 2985)**3/13
Let l be -126*((-3)/(-7) - (-46)/(-42)). Let m = l + -81. Factor 0*r**2 + 0 + 0*r - 3/8*r**4 + 3/8*r**m.
-3*r**3*(r - 1)/8
Let q(n) be the first derivative of n**5/180 - n**4/18 - 2*n**3/3 - 73*n**2/2 + 109. Let w(g) be the second derivative of q(g). Let w(m) = 0. What is m?
-2, 6
Let v(x) be the first derivative of 2*x**5/5 + 52*x**4 + 5188*x**3/3 - 5936*x**2 - 16854*x + 668. Factor v(y).
2*(y - 3)*(y + 1)*(y + 53)**2
Let j be 1 + (10/4)/(9/18). Suppose -67*m - 3*m**5 - j*m**2 - 79*m - 12*m**4 - 9*m**3 + 18*m**2 + 158*m = 0. What is m?
-2, -1, 0, 1
Let j be (-2 - (-9826)/4403) + ((-8)/(-74))/2. Factor j*s**4 + 0*s + 2/7*s**5 + 0 - 2/7*s**2 - 2/7*s**3.
2*s**2*(s - 1)*(s + 1)**2/7
Suppose 6 + 24 = 2*y. Let i = y + -11. Factor 3*u**3 - i*u**5 + u**3 + 31*u**2 - 35*u**2 + 4*u**4.
-4*u**2*(u - 1)**2*(u + 1)
Let n(o) be the second derivative of o**7/126 + 4*o**6/15 + 12*o**5/5 - 64*o**4/9 - 512*o**3/3 - 6*o + 210. What is m in n(m) = 0?
-12, -8, 0, 4
Factor -4/7*u**2 - 1536/7*u - 147456/7.
-4*(u + 192)**2/7
Let b(h) = h**3 - 11*h**2 - 10*h + 2. Let f be b(12). Suppose -f = n - 29. Factor 4*u - 5*u + 0*u + 32*u**n - 20*u**4 - 7*u - 4*u**2.
-4*u*(u - 1)**2*(5*u + 2)
Factor -104*a**3 + 371*a**2 + 179*a - a**4 - 165*a**3 + 0*a**4 + 453*a**3 + 7*a.
-a*(a - 186)*(a + 1)**2
Let u(j) be the second derivative of j**7/126 - j**6/6 + 17*j**5/30 + j**4 - 76*j**3/9 + 16*j**2 - 6*j + 72. Solve u(h) = 0 for h.
-2, 1, 2, 12
Let w be (-11)/(231/6)*-1. Let v(c) = -63*c + 6552. Let q be v(104). Determine b so that -w*b**5 + 0*b**4 + 0 + 6/7*b**3 + 4/7*b**2 + q*b = 0.
-1, 0, 2
Factor 67*p**2 + 33*p**2 + 25*p**2 - 408*p - 129*p**2.
-4*p*(p + 102)
Suppose 5*l = j + 74, 2*l - 11 = j + 18. Suppose -2*i = l - 55. Factor 17*f + 0*f + 4*f**3 + 15*f + i*f**2 + 16.
4*(f + 1)*(f + 2)**2
Let r(d) be the first derivative of -d**3/15 - 106*d**2 - 56180*d + 3515. Suppose r(t) = 0. Calculate t.
-530
Let z(i) be the third derivative of i**5/330 - 20*i**4/11 + 4800*i**3/11 + 2*i**2 - 313. Factor z(m).
2*(m - 120)**2/11
Suppose -y = -3*y - 5*n - 4, -2*y + 12 = -3*n. Factor 3 - 26 - 7*s**2 + 46 + y*s**2 - 68*s + 49.
-4*(s - 1)*(s + 18)
Let a(g) be the first derivative of -5*g**3/3 - 4155*g**2 - 3452805*g - 797. Solve a(x) = 0 for x.
-831
Let z = -43963/3 - -87929/6. Factor -z*s - 9/4*s**2 + 0.
-s*(9*s + 2)/4
Let c(i) be the first derivative of i**6/40 - 7*i**5/10 + 25*i**4/8 - 6*i**3 + 79*i**2 + 60. Let x(m) be the second derivative of c(m). Factor x(y).
3*(y - 12)*(y - 1)**2
Let h(r) = -r - 9. Let o be h(-36). Let i = -17/3 + o. Factor 1/3*g**2 + i + 16/3*g.
(g + 8)**2/3
Let h be (10/(-30) - (-2)/(-12))*0. Find b, given that -b**3 - 9*b**2 + 3*b + h*b**4 - 3*b**4 + 10*b**3 = 0.
0, 1
Let w be (98/(-112)*4)/(14/(-6)). Find o, given that 1/4*o**4 + 1/4*o**5 + 45/4*o - 27/4 - 7/2*o**3 - w*o**2 = 0.
-3, 1, 3
Solve -2 + 29/4*z**3 + 63/8*z - 3/2*z**4 - 1/8*z**5 - 23/2*z**2 = 0.
-16, 1
Let r(t) be the first derivative of t**4/12 + 4*t**3 - 25*t**2/2 + 2*t - 216. Let i(u) be the first derivative of r(u). Factor i(g).
(g - 1)*(g + 25)
Suppose 4*t + 10 = 22. Suppose t*u - 185 = 4*k, 5*k = -3*u + 63 + 158. Factor -139*h + 4*h**3 + 8*h**2 + 68*h + u*h - 8.
4*(h - 1)*(h + 1)*(h + 2)
Let s be (-12)/(20/(-5)) - (-21 + 41 + -21) - 0. Factor 2/7*r**3 + 4/7 + 6/7*r**2 - 10/7*r - 2/7*r**s.
-2*(r - 1)**3*(r + 2)/7
Let m(x) be the second derivative of 3*x**5/20 - 11*x**4/4 + 17*x**3 - 36*x**2 - 1751*x. Factor m(o).
3*(o - 6)*(o - 4)*(o - 1)
Suppose 4*m + j + 2583 - 2663 = 0, 74 = 5*m - 2*j. Factor -2/3*g**3 + 6*g**2 + 18 - m*g.
-2*(g - 3)**3/3
Let z = 243 - 240. Solve -30*l**2 + 3*l**z + 135 + 93*l**2 + 297*l - 208 - 290 = 0.
-11, 1
Let i(c) = -2*c**2 - 12110*c + 24132. Let v(d) = -d**2 - 6920*d + 13790. Let w(o) = -9*i(o) + 16*v(o). Factor w(q).
2*(q - 863)*(q - 2)
Solve 0 + 7095/4*r**2 - 1773/2*r - 888*r**3 + 3/4*r**4 = 0.
0, 1, 1182
Suppose -3660*y = -3666*y - 12. Let f(w) = -14 + 14 - w**3 + w - w**2. Let h(k) = 2*k**2 - 8*k - 12. Let z(p) = y*h(p) + 4*f(p). Suppose z(g) = 0. Calculate g.
-3, -1, 2
Let t(g) = 3*g**2 - 486*g - 487. Let x be t(-1). Let s be 14/3 - 6/9. Let 1/3*y - 1/3*y**3 + 1/6 - 1/6*y**s + 0*y**x = 0. Calculate y.
-1, 1
Let i = -4878576/7 - -696940. Let n be 3/(-12) - 18/(-8). Factor -24/7 - 4*m - i*m**n.
-