2 + 106 - 3*b**2 + h*b + 19.
5*(b + 5)**2
Let a(z) be the second derivative of 0 + 7/27*z**4 - 1/30*z**5 - 19/27*z**3 - 57*z + 8/9*z**2. What is s in a(s) = 0?
1, 8/3
Suppose -105 = -j - 4*j + 5*f, -2*j + 41 = -3*f. Let c = 24 - j. Factor 0*z + 2*z - z**c - 4*z.
-z*(z + 2)
Let g be (357/(-35) - -10)*-3*(2314/273 - 8). Factor 4/7 - 9/7*b + g*b**2.
(b - 4)*(2*b - 1)/7
Suppose -166*a**3 - 560*a**2 - 63*a**5 + 378*a**2 + 222*a**2 - 3*a + 240*a**4 = 0. What is a?
0, 1/7, 1/3, 3
Suppose 0 = -68*a + 95*a - 74*a + 94. Let o(l) be the third derivative of 0*l**3 - 1/9*l**4 + 0 - 1/90*l**5 - 25*l**a + 0*l. Find w, given that o(w) = 0.
-4, 0
Let c = -1713 - -176. Let n = -1533 - c. Suppose 0 + 2/5*g**2 - 2/5*g**n + 2/5*g**5 - 2/5*g**3 + 0*g = 0. What is g?
-1, 0, 1
Let f = 2085793/1035 - 3488/1035. Let o = f - 2011. Suppose -o*v**3 - 110/9*v**2 + 98/9 - 364/9*v = 0. Calculate v.
-7, 1/4
Let k(b) be the second derivative of b**7/84 + 3*b**6/20 + b**5/20 - 2*b**4 - 13*b + 13. Factor k(l).
l**2*(l - 2)*(l + 3)*(l + 8)/2
Let t = 668/141 - -400/987. Factor -6/7*k - t + 2/7*k**2.
2*(k - 6)*(k + 3)/7
Let n(v) be the third derivative of -v**8/60480 + 5*v**7/756 - 125*v**6/108 + 289*v**5/60 + 265*v**2. Let d(i) be the third derivative of n(i). Factor d(j).
-(j - 50)**2/3
Suppose -l = 5*n - 20, 7*n - 215*l - 4 = -214*l. Solve -147/11 + 1/11*t**3 + t**n + 7/11*t = 0.
-7, 3
Let j(m) be the first derivative of 2/3*m**2 - 14/9*m - 47 + 2/27*m**3. Factor j(w).
2*(w - 1)*(w + 7)/9
Let b be (-45)/9 + (-5)/(-15)*9. Let t(m) = m**3 + 2*m**2 + 4*m + 8. Let r be t(b). Find i, given that -1/3*i**3 + r*i + 0 + i**2 = 0.
0, 3
Let q(y) be the first derivative of -4*y**6/9 + 674*y**5/15 - 692*y**4/3 + 3866*y**3/9 - 1042*y**2/3 + 320*y/3 - 2292. Solve q(a) = 0 for a.
1/4, 1, 2, 80
Let f(n) be the third derivative of -1/90*n**5 + 26*n + n**2 + 0*n**4 - 1/630*n**7 + 0*n**3 + 0 + 1/120*n**6. Find g such that f(g) = 0.
0, 1, 2
Let v(g) be the second derivative of -5*g**7/14 + 19*g**6/6 - 9*g**5/4 - 355*g**4/12 + 70*g**3 - 50*g**2 + 2*g - 60. Suppose v(w) = 0. What is w?
-2, 1/3, 1, 2, 5
Factor 2/3*j**3 - 49928/3 + 50560/3*j - 634/3*j**2.
2*(j - 158)**2*(j - 1)/3
Let l(q) be the first derivative of q**4/14 - 352*q**3/21 - 179*q**2/7 + 708*q/7 - 3101. Factor l(y).
2*(y - 177)*(y - 1)*(y + 2)/7
Let x be -2 + (92 - 6)*1. Find j, given that 24 + 40*j**3 - 8*j**2 - 81*j**4 + 23*j**3 + 18*j**3 + 62*j**2 - x*j = 0.
-1, 2/3
Let h(a) be the third derivative of a**7/210 - 3*a**6/40 - 3*a**5/20 + 27*a**4/8 + 13377*a**2. What is q in h(q) = 0?
-3, 0, 3, 9
Let d(m) be the third derivative of -m**5/150 - 373*m**4/5 - 895*m**3/3 + 1071*m**2. Factor d(o).
-2*(o + 1)*(o + 4475)/5
Let a(c) be the third derivative of -c**7/70 - 33*c**6/8 - 1722*c**5/5 - 1681*c**4/2 + 13674*c**2. Find j, given that a(j) = 0.
-82, -1, 0
Let y be 368/(-138)*6/48 + (-31)/(-12). Factor 9/4*d**2 + y - 15/2*d.
3*(d - 3)*(3*d - 1)/4
Let f be 18886/1520 - (-54)/24*(-14)/(-84). Let f*j**3 - 4/5*j**4 - 256/5*j**2 + 0 + 0*j = 0. Calculate j.
0, 8
Determine w so that 52*w + 85*w + 396 - 988*w**2 + 81*w - 994*w**2 + 1992*w**2 = 0.
-99/5, -2
Let n(j) = 4*j**2 - 39*j + 48. Let a be n(8). Let c be (-17 + 14)*a/9. Factor 2/3*g**3 + 2*g**2 + 0*g - c.
2*(g - 1)*(g + 2)**2/3
Let t be (-1 - (-8)/14) + 3228*6/504 + -36. Factor -20/7 + 4/7*q**3 + 44/7*q - 4*q**t.
4*(q - 5)*(q - 1)**2/7
Let p be (38 - 38)/(7*(-2 - -1) - -9). Solve -2/3*u**2 - u + p - 14/3*u**4 + 16/3*u**3 + u**5 = 0.
-1/3, 0, 1, 3
Let t(g) be the second derivative of g**5/60 - 7*g**4/12 + 49*g**3/6 + 7*g**2/2 + 79*g. Let n(b) be the first derivative of t(b). Factor n(m).
(m - 7)**2
Solve -27/4 + 3/4*f**4 + 3/8*f**5 - 3*f**2 - 15/4*f**3 + 99/8*f = 0.
-3, 1, 2
Determine q so that 840*q**2 + 1568*q + 1/4*q**4 + 0 + 57/2*q**3 = 0.
-56, -2, 0
Let a(p) be the third derivative of -p**8/420 - 2*p**7/525 + p**6/150 + p**5/75 - p**2 - 960*p + 2. Factor a(i).
-4*i**2*(i - 1)*(i + 1)**2/5
Let b(v) = -v**2 - 9*v + 136. Let g be b(-15). Factor -510*k**2 - 175 - 77*k + 597*k - 41*k**4 + 160*k**3 + g*k**4.
5*(k - 1)**3*(k + 35)
Let v(a) be the third derivative of -a**5/300 - 3*a**4/40 - 2*a**3/3 + a**2 - 271. Factor v(c).
-(c + 4)*(c + 5)/5
Let g(c) be the first derivative of c**7/14 - c**6/5 - 3*c**5/20 + c**4/2 + 52*c + 55. Let i(s) be the first derivative of g(s). Factor i(f).
3*f**2*(f - 2)*(f - 1)*(f + 1)
Suppose -c = 3*z + 142 + 235, -c - 503 = 4*z. Let g be z/(-105)*(-5)/(-3). Factor 3210*q**2 - 15*q + 30 - 3415*q**g - 50*q - 60*q**3.
-5*(q + 3)*(3*q + 2)*(4*q - 1)
Factor -204*p**3 - 213*p**3 + 615*p**3 - 199*p**3 - 220*p**2 - 12100*p.
-p*(p + 110)**2
Suppose 14/17*i**4 - 26/17*i**3 - 186/17*i**2 - 166/17*i - 20/17 = 0. What is i?
-2, -1, -1/7, 5
Suppose 71*a**2 - 9/2*a**3 - 64 - 272*a = 0. What is a?
-2/9, 8
Suppose -27*r - 75 = -30*r. Factor 14*w + 87*w - 4*w**2 + 0*w**2 - 72 - r*w.
-4*(w - 18)*(w - 1)
Determine y so that -27*y - 19*y + 14 + 10*y + 18 + 4*y**2 = 0.
1, 8
Let v(i) = -i**3 - 3*i**2 + i + 2. Let j be v(-3). Let d(y) = -15. Suppose 40 = 31*z - 53. Let a(n) = -n**2 - 1. Let w(m) = j*d(m) + z*a(m). Factor w(b).
-3*(b - 2)*(b + 2)
Let v(s) = -2*s**4 + s**3 + s - 3. Let p(l) = 3*l**4 - 634*l**3 - 640*l**2 + l - 3. Let h(j) = p(j) - v(j). Determine n so that h(n) = 0.
-1, 0, 128
What is t in -2033090 + 2*t**3 - 17*t + 2*t**2 + 7*t + 2033096 = 0?
-3, 1
Let s(n) be the second derivative of 45*n + 0*n**3 + 1/8*n**5 + 5/168*n**7 - 1/8*n**6 + 0 + 0*n**4 + 0*n**2. Factor s(q).
5*q**3*(q - 2)*(q - 1)/4
Find n such that 2 + 10*n + 13/2*n**2 - 7*n**3 + 2*n**5 - 7/2*n**4 = 0.
-1, -1/4, 2
Let z(y) be the third derivative of -16/245*y**7 + 72*y**2 - 48/35*y**6 + 0*y + 0 - 512/7*y**4 - 512/35*y**5 + 0*y**3 - 1/784*y**8. What is d in z(d) = 0?
-8, 0
Let c(k) be the first derivative of -k**5/10 + 25*k**4/4 + k**3/6 - 25*k**2/2 - 359. Factor c(r).
-r*(r - 50)*(r - 1)*(r + 1)/2
Let w = -430 - -442. Let -29*f**2 + 4*f**4 - 53*f**2 + w*f**3 - 2*f**2 - 56 + 132*f - 8*f**2 = 0. Calculate f.
-7, 1, 2
Let o be ((-132)/(-18) - (-2)/(-6))/(-10*98/(-560)). Let s be 22/8 - (-3)/12. Solve 2/9*d**o - 8/9*d**2 + 4/9*d**s - 16/9*d + 0 = 0 for d.
-2, 0, 2
Let n(x) be the second derivative of 56*x + 1/3*x**6 - 25/6*x**4 + 10/3*x**3 + 5/42*x**7 - 5/4*x**5 + 20*x**2 + 0. Find p such that n(p) = 0.
-2, -1, 1, 2
Let v(b) = 2*b**3 + 13*b**2 + 40. Let k be v(-7). Let z be 1 + ((-63)/(-14))/k. Solve 1/8*a**4 + 1/8 + 3/4*a**2 - z*a**3 - 1/2*a = 0.
1
Suppose -59*m + 3121 = 584. Solve -m*z + 7*z + 82*z + 1445 + 124*z + 5*z**2 = 0 for z.
-17
Find n such that -430*n + 0 + 5/2*n**2 = 0.
0, 172
Let h be -1 + -11 + (-3828)/(-290). Determine p so that -3/5*p - 6/5*p**4 + 12/5*p**2 - 6/5 - 3/5*p**5 + h*p**3 = 0.
-2, -1, 1
Let a = 9677/4 + -2419. Let f(b) be the second derivative of -11*b + 0*b**2 + 0*b**3 + a*b**4 + 0. Factor f(r).
3*r**2
Let a(j) be the third derivative of j**6/120 + 5*j**5/12 + 29*j**4/4 + 60*j**3 - 4*j**2 + 2*j - 94. Find r, given that a(r) = 0.
-15, -6, -4
Factor -2/3*u + 0 + 7/3*u**2 - 3*u**3 + 5/3*u**4 - 1/3*u**5.
-u*(u - 2)*(u - 1)**3/3
Let s(p) be the third derivative of -7*p**8/12 - 8*p**7/3 + 103*p**6/30 + 542*p**5/15 + 62*p**4 + 48*p**3 + p**2 + 462*p. What is w in s(w) = 0?
-2, -3/7, 2
Let t(x) be the second derivative of 23 - 25/18*x**4 - 130/9*x**3 - 169/3*x**2 - 3*x. Factor t(b).
-2*(5*b + 13)**2/3
Let a be (198/(-55))/(9/(-30)) + -10. Factor 9/4 - 5/4*p**a + 3*p.
-(p - 3)*(5*p + 3)/4
Let f(h) = 3*h**2 + 22*h - 91. Let g be f(3). Find q, given that 100/3 - 26/3*q**3 - 190/3*q + 2/3*q**4 + 38*q**g = 0.
1, 2, 5
Let q be (12/10)/(10/(-175)). Let z(i) = -i**3 + 3*i**2 + 10*i. Let n(v) = -3*v**3 + 6*v**2 + 30*v. Let w(l) = q*z(l) + 6*n(l). Let w(p) = 0. What is p?
-1, 0, 10
Let h(f) be the third derivative of 0 + 206*f**2 + 1/2*f**3 + 1/6*f**4 - 7/60*f**5 + 0*f. Let h(b) = 0. What is b?
-3/7, 1
Let s(q) = q**2 - 19*q + 52. Let c be s(3). Factor 14*f**c + 450 + 458*f**2 - 6*f**4 - 108*f**3 + 4*f**3 - 780*f.
2*(f - 5)**2*(2*f - 3)**2
Let a(r) = -10*r**2 - 1860*r - 6064. Let m(x) = 3*x**2 + 596*x + 2021. Let t(v) = -5*a(v) - 16*m(v). Suppose t(s) = 0. What is s?
-8, 126
Let c = -563 - -523. Let j be (96/c)/(9/(-15)). Factor 2/3*o + 2/3*o**5 + 8/3*o**2 + 8/3*o**4 + 0 + j*o**3.
2*o*(o + 1)**4/3
Let j(o