1
Let h be (-29464)/(-762)*57/1102. Solve -11*y**3 - 75/4*y**h - 7/4*y**4 - 2 - 23/2*y = 0.
-4, -1, -2/7
Let l(q) = -55*q**2 - 1605*q - 12230. Let j(h) = 5*h**2 + 146*h + 1112. Let o(c) = 45*j(c) + 4*l(c). Factor o(r).
5*(r + 14)*(r + 16)
Factor -138/5*x - 2/5*x**2 + 284/5.
-2*(x - 2)*(x + 71)/5
Suppose 0 = 35*d - 23*d + 48. Let q(t) = -21*t - 66. Let n be q(d). Factor 0 - n*c - 3/2*c**2.
-3*c*(c + 12)/2
Suppose 83*i**3 + 2*i**5 - 140*i**4 + 2223*i**3 + 1967*i + 625*i + 3 - 3 + 5040*i**2 = 0. Calculate i.
-1, 0, 36
Let z(j) = -2*j**3 + 3*j**2 - 24*j - 57. Let g be z(-9). Suppose -g*b - 79*b**3 + 360 - 70*b**3 + 94*b**3 - 650*b**2 = 0. What is b?
-6, 2/11
Suppose 279 = 5*b - 101. Let x = -52 + b. Determine g, given that -2*g**2 + 2 - x*g**4 - g**2 + 26*g**4 - g**2 = 0.
-1, 1
Let 48*c + 146/3*c**2 + 110/9*c**3 - 8/9 = 0. What is c?
-2, 1/55
Let g(z) be the second derivative of -65*z**4/12 - 15*z**3 - 25*z**2/2 + 9*z + 48. Factor g(c).
-5*(c + 1)*(13*c + 5)
Let n be ((-6)/10)/(3/(-15)). Suppose 3*u + 27 = n*b - 15, -4*b - 3*u + 35 = 0. Determine v, given that 7*v**4 - 10*v**2 - 6*v**3 + b*v**3 - 2*v**4 = 0.
-2, 0, 1
Let y(i) = 3*i**3 - 253*i**2 + 1103*i - 1223. Let k(q) = 5*q**3 - 379*q**2 + 1653*q - 1837. Let l(m) = 5*k(m) - 7*y(m). Let l(t) = 0. Calculate t.
2, 3, 26
Let r(a) be the third derivative of 49*a**5/60 - 145*a**4/24 - a**3 - 1783*a**2. Factor r(n).
(n - 3)*(49*n + 2)
Let v(t) be the third derivative of t**6/90 + 167*t**5/45 - 5602*t**2. Suppose v(a) = 0. What is a?
-167, 0
Let k be 6*(-17)/136*(-32)/6. Let g be (-1)/(-30) + 230/1725. Factor 0 - g*j**2 - 1/6*j**k + 1/3*j**3 + 0*j.
-j**2*(j - 1)**2/6
Let a be 1/((-5)/30*-21 - 3). Factor 28*b - 45 + 12*b - 17*b**a + 22*b**2.
5*(b - 1)*(b + 9)
Let n(u) = -2905*u + 72625. Let j be n(25). Factor j*o - 1/5*o**2 + 1/5.
-(o - 1)*(o + 1)/5
Let t(l) be the first derivative of -l**5/45 + 5*l**4/12 - 38*l**3/27 + 4*l**2/3 + 1899. Solve t(f) = 0.
0, 1, 2, 12
Let c(x) = x**5 + x**4 - 33*x**3 + 14*x**2 - 10*x + 9. Let y(v) = -2*v**3 - v**2 + 1. Let h(p) = 2*c(p) - 18*y(p). Factor h(b).
2*b*(b - 2)*(b - 1)**2*(b + 5)
Factor 392 + f**3 + 1666/3*f - 145/3*f**2.
(f - 28)*(f - 21)*(3*f + 2)/3
Suppose 90 = 544*r - 559*r. Let i be -4 - r*3/3. What is w in -5/2*w + 4*w**i - 3 + 3/2*w**3 = 0?
-3, -2/3, 1
Suppose 34 = 2*h - 2*g, -4*g - 99 + 19 = -5*h. Factor 0*a**3 - 7*a**3 - 2*a**3 - 4*a**4 + h*a + 7*a**4.
3*a*(a - 2)**2*(a + 1)
Let d(f) be the third derivative of -f**5/300 + 563*f**4/120 + 94*f**3/5 + f**2 + 1524. Factor d(w).
-(w - 564)*(w + 1)/5
Let r = 7/12 + 1/60. Let t = -38 - -196/5. Factor -9/5*y - t - r*y**2.
-3*(y + 1)*(y + 2)/5
Let w(d) be the third derivative of -d**6/24 + 19*d**5/3 - 1120*d**4/3 + 10240*d**3 + 1250*d**2. Factor w(v).
-5*(v - 32)**2*(v - 12)
Let a(f) be the third derivative of -f**9/181440 + f**8/60480 - 7*f**5/30 + 3*f**2 - 7*f. Let z(k) be the third derivative of a(k). Factor z(h).
-h**2*(h - 1)/3
Let r(l) be the third derivative of -l**7/42 + 5*l**6/3 - 271*l**5/12 + 100*l**4 + l**2 + 4*l - 108. Let r(j) = 0. Calculate j.
0, 3, 5, 32
Let x(w) = 54*w**2 - 6*w + 4. Let g be x(1). Suppose 32 = s + s. Factor g*y - s + 7*y**3 - 10*y**2 - 23*y**3 + 10*y**3.
-2*(y - 2)*(y + 4)*(3*y - 1)
Let t(j) be the second derivative of -j**6/120 + 13*j**5/40 - 3*j**4/2 + 35*j**3/12 - 23*j**2/8 - 367*j. Suppose t(d) = 0. Calculate d.
1, 23
Let j(f) = 13*f**2 - 9*f - 14. Let x(r) = -10*r**2 + 10*r + 16. Let q(m) = 4*j(m) + 5*x(m). Factor q(i).
2*(i + 3)*(i + 4)
Let x(j) be the third derivative of j**8/21 - 26*j**7/15 + 217*j**6/30 + 76*j**5/15 - 158*j**4/3 - 160*j**3/3 + 5461*j**2. Find v, given that x(v) = 0.
-1, -1/4, 2, 20
Let c = -285 - -662. Let x be 5 - 9/(819/c). Find i such that -x*i - 6/7*i**4 + 4/7*i**2 + 2/7 + 2/7*i**5 + 4/7*i**3 = 0.
-1, 1
Let d(h) be the third derivative of 3*h**2 + 1/10*h**5 + 4 - 1/112*h**8 - 11/40*h**6 + 3/2*h**4 + 0*h - 4*h**3 + 3/35*h**7. Suppose d(n) = 0. What is n?
-1, 1, 2
Let b be (-5 + 10)*(-763)/(-35). Factor 0*a**2 - 5*a**2 + 346*a + 113*a - b*a - 6125.
-5*(a - 35)**2
Let q(x) be the second derivative of -x**5/5 - x**4 + 32*x**3/3 - 24*x**2 - 3495*x. Let q(p) = 0. What is p?
-6, 1, 2
Let j be -10*2/(-14) - 59/((-68145)/(-810)). Suppose j*f**2 + 32/11 - 4/11*f**4 - 2/11*f**5 - 56/11*f + 2*f**3 = 0. What is f?
-4, -2, 1, 2
Let h(x) be the second derivative of -53*x + 7/20*x**4 - 7/50*x**6 + 0 + 0*x**2 - 1/5*x**3 + 3/50*x**5. What is l in h(l) = 0?
-1, 0, 2/7, 1
Suppose k = 2*u + 21, 3 = 7*k - 9*k - u. Factor 4/3*b**2 + 4/3*b**k - 8/3*b + 0.
4*b*(b - 1)*(b + 2)/3
Factor 50 + 1800*t - 894 - 4985 + 2209 + 5*t**2.
5*(t - 2)*(t + 362)
Let t(s) = 35*s**2 + 684*s + 3930. Let b(l) = -30*l**2 - 685*l - 3935. Let j(r) = -6*b(r) - 5*t(r). Factor j(f).
5*(f + 6)*(f + 132)
Let a(u) = -195*u**2 - 702*u + 75. Let f(z) = -585*z**2 - 2107*z + 235. Let g(y) = -7*a(y) + 2*f(y). Factor g(r).
5*(3*r + 11)*(13*r - 1)
Let d(b) be the second derivative of -b**5/140 - 11*b**4/84 - 16*b**3/21 - 2*b**2 + 4075*b. Solve d(k) = 0.
-7, -2
Let p(t) be the first derivative of -2*t**3/9 + 130*t**2 - 25350*t - 124. Factor p(s).
-2*(s - 195)**2/3
Let m be 116/(-87)*36/(-1536). Let a(s) be the third derivative of m*s**4 - 1/840*s**7 - 6*s**2 + 1/480*s**6 + 0*s + 1/48*s**5 + 0*s**3 + 0. Factor a(f).
-f*(f - 3)*(f + 1)**2/4
Let o(n) = -n**2 - 25*n + 56. Let m be o(-27). Factor -4*x**3 - x**3 - 5*x**4 - 5*x**4 - 3*x**m + 8*x**4.
-x**2*(x + 1)*(2*x + 3)
Let j(w) = 2*w**2 + 10*w - 6. Let i be j(-8). Suppose i*t = 29*t. Factor 0*r - 2/7*r**5 + t + 2/7*r**2 - 6/7*r**3 + 6/7*r**4.
-2*r**2*(r - 1)**3/7
Let q = -1769 - -1769. Let s(a) be the first derivative of 1/3*a**3 + 0*a + q*a**2 - 2 - 1/12*a**4. Factor s(u).
-u**2*(u - 3)/3
Let j(t) be the second derivative of -t**5/70 - 61*t**4/42 - 50*t + 10. Factor j(q).
-2*q**2*(q + 61)/7
Let y(i) be the first derivative of -2*i**3/15 - 124*i**2/5 - 726*i/5 + 18. Factor y(t).
-2*(t + 3)*(t + 121)/5
What is z in -148*z**4 - 5470*z**2 + 322*z**2 + 1551*z**3 + 92*z**5 - 72*z**5 - 3475*z**3 + 2160 - 3024*z = 0?
-3, -2, 2/5, 15
Suppose 0 = 3*v + 35 + 145. Let q be (-1)/(63/v + 1). What is j in 75*j + 3*j**3 + 15*j**2 - 4*j**3 + 6*j**3 + 45 + q*j**2 = 0?
-3, -1
Let x(m) = -m**3 + 25*m**2 + 11*m - 17. Let u be x(13). Let d = u + -2152. Factor 11/2*k + 1 + 9/2*k**d.
(k + 1)*(9*k + 2)/2
Suppose 5*i + 188 = -7. Let c = i + 43. Factor 24*t + 2*t**2 - 3*t**2 + 16 - 6*t**3 - 9*t**4 + 5*t**2 + 7*t**c.
-2*(t - 2)*(t + 1)*(t + 2)**2
Let o(l) be the first derivative of 8*l**6/45 - 34*l**5/15 + 59*l**4/12 - 7*l**3/2 - 308*l - 118. Let v(t) be the first derivative of o(t). Factor v(b).
b*(b - 7)*(4*b - 3)**2/3
Let m = 749 - 5429. Let p be ((-208)/m)/(2/40). Factor -p - 4/9*l**3 + 16/9*l - 2/3*l**2 + 2/9*l**4.
2*(l - 2)*(l - 1)**2*(l + 2)/9
Let b = -635/26 - -415/13. Suppose 3*r = 3*g + 9, 2*g - 9 = -3*r + 10. Find c such that -b*c + 1 + 12*c**g - 11/2*c**3 = 0.
2/11, 1
Let t(l) be the second derivative of 3*l**7/77 + 83*l**6/165 + 18*l**5/11 - 224*l**3/33 - 48*l**2/11 - l - 916. Solve t(n) = 0.
-6, -2, -2/9, 1
Let s be 23868/(-2016) - (1 + 0). Let d = 105/8 + s. Factor -8/7*k**2 + 6/7*k + 0 + d*k**3.
2*k*(k - 3)*(k - 1)/7
Let n(o) be the first derivative of 4*o**3/3 - 127*o**2/2 - 32*o + 1436. Factor n(y).
(y - 32)*(4*y + 1)
Let t(f) be the first derivative of 2*f**3/15 + 304*f**2/5 + 46208*f/5 - 190. What is l in t(l) = 0?
-152
Let p(k) = k - 1. Suppose 23*s - 75 = 21*s + 5*v, 0 = -4*s + v + 159. Let b(i) = i**2 - 8*i + 7. Let z(h) = s*p(h) + 5*b(h). Factor z(o).
5*(o - 1)*(o + 1)
Let p = 118/17 + -320/51. Find l, given that p*l + 4/3*l**2 + 0 + 0*l**3 - 2/3*l**5 - 4/3*l**4 = 0.
-1, 0, 1
Suppose -20*d + 688 = 188. Let 36*b**3 - 14*b**2 + 0*b**4 + 30*b + d - 5*b**4 - 6*b**2 - 66*b**3 = 0. What is b?
-5, -1, 1
Suppose 31*w + 0 - 1/6*w**2 = 0. Calculate w.
0, 186
Let d = 742/3015 - 8/335. Let q(p) be the first derivative of 8/3*p**4 + 2*p**2 - 6/5*p**5 - 2/3*p - 14 + d*p**6 - 28/9*p**3. Factor q(g).
2*(g - 1)**4*(2*g - 1)/3
Let r(v) be the third derivative of -v**10/30240 + v**8/4032 + v**5/12 + v**3/2 + 22*v**2 + v. Let y(q) be the third derivative of r(q). What is x in y(x) = 0?
-1, 0, 1
Let p be 765/140 - (2/3)/((-94)/(-3) + -34). Factor -2/7*n**2 - 6*n - p.
-2*(n + 1)*(n + 