9*q - 2)/17
Let u(s) be the first derivative of s**6/90 - s**4/6 + 25*s**3/3 - 60. Let o(c) be the third derivative of u(c). What is j in o(j) = 0?
-1, 1
Let x(j) be the second derivative of 57*j + 0 - 1/78*j**4 - 2/39*j**3 + 0*j**2. Factor x(l).
-2*l*(l + 2)/13
Factor -602609*z**5 - 173*z + 602610*z**5 + 86 + 2*z**2 - 123*z**4 + 35*z**4 + 172*z**3.
(z - 86)*(z - 1)**3*(z + 1)
Suppose -2*n - 31 = -3*u - 64, n - 4*u - 29 = 0. Let a(i) = -3*i**2 - 25*i - 43. Let b(c) = 6*c**2 + 51*c + 87. Let w(l) = n*a(l) + 5*b(l). Factor w(s).
3*(s + 2)*(s + 8)
Let d = 19 - 0. Let c = d + -16. Solve 5 + 16*z + 9*z**5 - 7*z - 1 + 11*z**4 + 7*z - 15*z**2 - 25*z**c = 0.
-2, -1, -2/9, 1
Suppose -l = -5*m - 0*l + 18, 3*m - 24 = 5*l. Solve -45*s + 9*s**4 - 6*s**5 + m*s**3 - 29*s**2 + 48*s + 20*s**2 = 0.
-1, 0, 1/2, 1
Let a be 3 + 0/(-2) - -1. Suppose j = -f + 3, 3*f - f + a = 3*j. Let 8/11*m**4 + 0 + 2/11*m**5 + 10/11*m**3 + 4/11*m**j + 0*m = 0. Calculate m.
-2, -1, 0
Let r(d) be the first derivative of -2/3*d**3 + 2 + 4*d**2 - 1/3*d**4 + 4*d. Let k(l) be the first derivative of r(l). Factor k(g).
-4*(g - 1)*(g + 2)
Let q be -7 + (-770)/(-168) - (-10)/4. Let a(d) be the first derivative of q*d**4 + 7/6*d**2 + 7 - 5/9*d**3 - d. Solve a(h) = 0.
1, 3
Let z = 2047 - 122819/60. Let n(b) be the third derivative of -24*b**2 + 8/3*b**3 + 1/3*b**4 + 0 + 0*b + z*b**5. What is i in n(i) = 0?
-4
Let p be (-38)/(-3) + 2/(-3). Let r = -13032 + 13035. Solve -4*c**4 - p + 9*c**4 + 12 + 5*c**r = 0.
-1, 0
Let g(y) be the second derivative of y**5/35 - 5*y**4/21 - 32*y**3/7 + 216*y**2/7 - 3260*y. Solve g(f) = 0.
-6, 2, 9
Let w(f) be the second derivative of 7 + 2/3*f**3 - 1/20*f**5 + 1/8*f**4 - 2*f - 1/60*f**6 + f**2. Factor w(g).
-(g - 2)*(g + 1)**2*(g + 2)/2
Let f(l) be the second derivative of -5*l**7/42 + 5*l**6/6 - l**5 - 231*l. Determine x, given that f(x) = 0.
0, 1, 4
Let n(y) be the first derivative of -8*y**2 - 7*y - 1/27*y**4 - 8/9*y**3 + 10. Let j(o) be the first derivative of n(o). Factor j(f).
-4*(f + 6)**2/9
Let v(u) be the third derivative of u**8/840 - u**7/84 + 2*u**6/45 - u**5/15 + 23*u**3/6 + 2*u**2 - 10. Let g(b) be the first derivative of v(b). Factor g(i).
2*i*(i - 2)**2*(i - 1)
Let y(g) be the third derivative of 1/540*g**6 - g - 69*g**2 - 1/135*g**5 - 5/27*g**4 - 8/9*g**3 + 0. Factor y(v).
2*(v - 6)*(v + 2)**2/9
Let i(c) = -2*c**2 - 12*c + 22. Let t be i(-7). Suppose -2*g = w - 0*g - t, -g = -4. Factor -1/4*h - 1/4*h**2 + w.
-h*(h + 1)/4
Let k(u) = -5*u**2 - 5*u + 2. Suppose -4*p = -3*w - 13, 0*w - 2*p + 9 = w. Let j(x) = -2*x**2. Let r(t) = w*k(t) - j(t). Let r(n) = 0. Calculate n.
-2, 1/3
Let w(h) = -8*h**4 - 6*h. Let q(j) = -j**4 - j**3 - j. Let o(m) = -m + 9. Let g be o(5). Suppose -11*l = 7 + g. Let v(u) = l*w(u) + 6*q(u). Factor v(t).
2*t**3*(t - 3)
Let c be 35 + (-2 - 5 - -6). Factor 26*s**3 - 15*s**4 - 109 - 108*s**3 - 72*s**2 + c - 126*s**2 - 205*s - s**5.
-(s + 1)**2*(s + 3)*(s + 5)**2
Let p(u) = -9*u**3 - 37*u**2 + 35*u - 44. Let j(n) = -3*n**3 + 8*n**3 + 19*n**2 + 22 - 17*n - 37 + 38. Let s(a) = -11*j(a) - 6*p(a). Let s(y) = 0. Calculate y.
1, 11
Factor -36/11*a - 2/11*a**2 - 162/11.
-2*(a + 9)**2/11
Let w be -14 + 6 + (-5624)/(-4). Determine a so that 7*a - 23*a**5 + 41*a + 3*a**5 - 64 - 72*a**4 + 256*a**2 - 1306*a**3 + w*a**3 = 0.
-4, -1, 2/5, 2
Let r(f) be the second derivative of 121*f**6/10 + 462*f**5/5 + 141*f**4 + 72*f**3 + 30*f + 1. Factor r(a).
3*a*(a + 4)*(11*a + 6)**2
Let v(z) be the third derivative of z**7/105 - 1603*z**6/240 + 10*z**5 + 37*z**2 - z + 3. Factor v(u).
u**2*(u - 400)*(4*u - 3)/2
Factor 1423 + 1499 + 975907*p - 102 - 976862*p + 5*p**2.
5*(p - 188)*(p - 3)
Suppose 291*s - 666 = -137*s + 95*s. Find g such that -15/4 - 3/8*g**s + 33/8*g = 0.
1, 10
Let f(k) be the third derivative of 29*k**5/690 - 1187*k**4/276 - 82*k**3/69 + 10*k**2 + 4*k. Factor f(v).
2*(v - 41)*(29*v + 2)/23
Suppose 2*v + 72 = 4*s, s = -5*v + v + 27. Find b, given that 17 + s + 168*b**2 + 75*b - 162*b**2 = 0.
-12, -1/2
Factor 852818/7*i**3 + 2/7*i - 2612/7*i**2 + 0.
2*i*(653*i - 1)**2/7
Let s(w) be the second derivative of -w**5/5 + 2*w**4/3 + 88*w**3 + 1008*w**2 - 447*w. Find a such that s(a) = 0.
-6, 14
What is y in y**2 + 54*y - 88*y + 57*y - 19*y = 0?
-4, 0
Let l(v) = v**2 + 8*v - 3. Let c(a) = 10*a**2 + 6560*a - 6540. Let n(k) = c(k) - 5*l(k). Factor n(g).
5*(g - 1)*(g + 1305)
Let j(n) be the first derivative of -n**4/6 - 238*n**3/9 - 3224*n**2/3 + 38440*n/3 + 1410. Factor j(k).
-2*(k - 5)*(k + 62)**2/3
Let b be 0 - ((-44)/(-77) + (-17131)/(-315)). Let c = b - -277/5. Determine h, given that 0 + c*h**2 + 2/9*h + 2/9*h**3 = 0.
-1, 0
Let -6950*f + 1873*f + 1873970 - 1862*f + 8559342 - 2197*f + 2*f**2 = 0. Calculate f.
2284
Let b = -9/67 - -179/335. Let g(z) be the first derivative of 0*z - b*z**3 - 1/10*z**4 + 0*z**2 + 17. Factor g(t).
-2*t**2*(t + 3)/5
Factor -4*c**3 - 65*c - 3609 - 1268*c + 144*c**2 + 3793 - 383*c + 6592.
-4*(c - 14)*(c - 11)**2
Suppose -4*s = 2*g + g - 55, -g = s - 18. Find d, given that -4*d**3 + 4*d**2 + 9*d**5 - 2 - 2*d**4 + 4*d**5 + 2*d - g*d**5 + 6*d**5 = 0.
-1, 1
Let z(p) be the third derivative of -1/120*p**5 + 19/12*p**3 + 3/8*p**4 - 5*p**2 - 7*p + 0. Factor z(u).
-(u - 19)*(u + 1)/2
Let 1135*b + 64*b**2 + 1096*b + 2*b**3 - 2111*b = 0. Calculate b.
-30, -2, 0
Suppose -96 = -21*x + 9. Factor 9 - 9 - 33*d + x*d**2 - 7*d.
5*d*(d - 8)
Let n be (-6)/(-7)*33530/1437. Let b(h) be the second derivative of -5/126*h**7 + 0 - n*h**4 - 160/9*h**3 - 45*h - 97/12*h**5 - h**6 + 0*h**2. Factor b(m).
-5*m*(m + 1)**2*(m + 8)**2/3
Let y be (-142 - -156 - 1*14)*2/(-4). Suppose -3*d + 4*w - 6 = -6*d, 4*d - 8 = 5*w. Determine o so that y*o**d + 0 + 2/5*o - 2/5*o**3 = 0.
-1, 0, 1
Let b(w) be the third derivative of w**8/84 - 24*w**7/35 + 16*w**6/15 + 22*w**5/3 - 59*w**4/2 + 140*w**3/3 - 2534*w**2. Factor b(j).
4*(j - 35)*(j - 1)**3*(j + 2)
Let v(m) be the first derivative of 84 + 3/8*m**2 - 1/8*m**3 - 3/32*m**4 + 0*m. Let v(d) = 0. What is d?
-2, 0, 1
Let a(p) be the third derivative of p**7/126 - p**6/8 - p**5/3 + 25*p**4/18 + 653*p**2. Factor a(g).
5*g*(g - 10)*(g - 1)*(g + 2)/3
Factor 67*w**3 + 57*w**3 + 3207*w - 273*w**3 + 61*w**3 + 67*w**3 + 2472*w**2 + 714.
-3*(w - 119)*(w + 1)*(7*w + 2)
Let i = 3974 + -3974. Let g(t) be the second derivative of 0*t**4 + 0*t**2 - 2/21*t**7 - 5*t - 2/15*t**6 + i + 0*t**3 + 2/5*t**5. Factor g(r).
-4*r**3*(r - 1)*(r + 2)
Let i(r) be the first derivative of -3*r**3/7 + 323*r**2/2 - 502*r/7 + 2027. Suppose i(t) = 0. Calculate t.
2/9, 251
Let p be 141987/68476 - 2/(-34)*3. Let 3/4*q**2 + p*q - 15/2 = 0. What is q?
-5, 2
Suppose 104*j + 121*j**2 - 39*j**2 - 41*j**2 - 39*j**2 + 200 = 0. What is j?
-50, -2
Suppose -348/5*d**4 - 288*d - 16/5*d**2 + 216*d**3 - 4/5*d**5 + 0 = 0. Calculate d.
-90, -1, 0, 2
Let n = 39 + -48. Let j be (3/n)/((-5)/30). Determine i so that 32*i**j + 27*i**2 - 61*i**2 - 24*i - 72 = 0.
-6
Let j be (0 - 144/(-30))/((-9)/(-120)). Factor -19*g**3 - j*g + 110*g**2 - 224 + 232 + 91*g**3.
2*(g + 2)*(4*g - 1)*(9*g - 2)
Let 756 - 4069*f**2 - 6*f**3 + 3*f**3 - 1515*f + 4831*f**2 = 0. What is f?
1, 252
Let c be (-13 + 7)*-1 + 1. Let g(z) be the second derivative of -1/102*z**4 - 3/170*z**5 + 2/51*z**3 + 1/357*z**c + 0*z**2 + z + 0 + 1/255*z**6. Solve g(t) = 0.
-2, -1, 0, 1
Let m(b) be the second derivative of b**6/180 + 47*b**5/120 - b**4/6 - 137*b**3/9 + 188*b**2/3 - 11337*b. Let m(l) = 0. What is l?
-47, -4, 2
Let l = 17500 - 52499/3. Let z(t) be the first derivative of -2/3*t + l*t**2 + 11 - 1/18*t**3. Factor z(n).
-(n - 2)**2/6
Suppose -39*a + 8*a = -992. Factor b**4 + a*b - 64 + 26*b**2 - 14*b**2 - 4*b**3 + 3*b**4 - 5*b**4.
-(b - 2)**2*(b + 4)**2
Suppose -9*n = -8*n - 3. Let g be 0 + 6 + -7 - 3*-1. Suppose 3*s + s**2 - 6*s**n - 9 + g*s**3 + 9 = 0. Calculate s.
-3/4, 0, 1
Suppose -c = -2*c + 3*i + 14, -4*c = 2*i. Suppose -8*h**4 + 32*h**3 + 16*h**c + 5*h**4 + 15*h**4 = 0. What is h?
-2, -2/3, 0
Let c = -1801 - -1806. Let q(k) be the third derivative of 0*k + 0 + 7*k**2 - 1/28*k**4 - 1/210*k**c + 0*k**3. Factor q(r).
-2*r*(r + 3)/7
Let 7867 + 2*b**5 - 3938 - 3929 + 6*b**3 + 20*b**2 - 12*b**4 = 0. What is b?
-1, 0, 2, 5
Suppose -5*y - 5*h - 20 = 0, 160*h + 1439 - 533 = 9*h. Determine l so that 31*l