 -2. Factor 16*r - 47 - 20*r**2 + 40*r - 149 + 16*r**c.
-4*(r - 7)**2
Factor 0 - 78/7*y - 15/7*y**2.
-3*y*(5*y + 26)/7
Let r(m) be the second derivative of m**5/70 - 263*m**4/14 - 527*m**3/7 - 113*m**2 + 15409*m. Solve r(k) = 0 for k.
-1, 791
Let g(w) be the second derivative of -w**5/70 + 5*w**4/7 + 4*w**3/21 - 120*w**2/7 - 146*w - 10. Suppose g(y) = 0. What is y?
-2, 2, 30
Let 4*f**2 + 0*f**2 - 602*f - f**2 + 644*f + 144 = 0. What is f?
-8, -6
Let w = -539/81 + 2803/405. Find s, given that w*s + 2/15*s**4 - 2/5*s**3 + 2/15*s**5 - 2/15*s**2 + 0 = 0.
-2, -1, 0, 1
Let g(t) = t**3 - 17*t**2 + 18*t - 14. Let d be g(16). Let f = d - 14. Determine v so that -v**f - 1081*v - 16*v**2 + 1081*v - 8*v**3 = 0.
-4, 0
Let g be (-6)/21 + 164/182. Let b be (1 - (-4)/12)/((-280)/(-24) + -11). Let -6/13 - 2/13*c**b - g*c = 0. Calculate c.
-3, -1
Suppose 3*b - 2343*w - 30 = -2339*w, 3*b = -12*w - 66. Find q, given that -2/25*q**3 + 116/25*q**b + 0 - 114/25*q = 0.
0, 1, 57
Let z(a) be the first derivative of -1/2*a**6 + 171 - 9/2*a**4 + 3*a**5 - 9*a - 2*a**3 + 21/2*a**2. Find l, given that z(l) = 0.
-1, 1, 3
Let s be 26/8 - 37/(-74). Let w = s + 7/4. Solve -2*h**4 + 1/4*h**5 + 9/4*h + 0 - 6*h**2 + w*h**3 = 0.
0, 1, 3
Factor 49/4*q**2 + 39/4*q**3 + 5*q + 0 + 11/4*q**4 + 1/4*q**5.
q*(q + 1)**2*(q + 4)*(q + 5)/4
Let d be (-23)/(-9) + 12/27. Factor 7*l - 56 + 8*l**d - 22*l**2 + 56 + 5*l + 2*l**4.
2*l*(l - 1)**2*(l + 6)
Let y be ((-6)/5)/(136/(-40) + 3). Suppose 5*i + 8 = i, 5*p + y*i = 9. Solve 3*v**p + 19*v**5 - 9*v**3 - 18*v**5 + 4*v**2 + 8*v - v**4 = 0.
-2, -1, 0, 2
Let n(h) be the third derivative of -3/8*h**3 - 3/280*h**7 - 1/32*h**4 + 1/80*h**6 + 40*h**2 + 0 + 0*h + 3/40*h**5 - 1/448*h**8. Let n(p) = 0. Calculate p.
-3, -1, 1
Solve 48/7*k**4 + 0 - 48/7*k**2 + 117/7*k - 3/7*k**5 - 114/7*k**3 = 0 for k.
-1, 0, 1, 3, 13
Let u(j) be the third derivative of -j**5/90 + 499*j**4/18 - 249001*j**3/9 + 1338*j**2 + 2. Find o such that u(o) = 0.
499
Let 92/9*m - 80/3 - 2/9*m**3 + 2*m**2 = 0. Calculate m.
-5, 2, 12
Let k = -1175954 + 15287434/13. Find p, given that 2/13*p**2 + 20/13*p + k = 0.
-8, -2
Let i be (-12)/54 - (-542)/9. Suppose -i = -13*g + g. Factor 5*q + g - 13*q**2 + 5 + 3*q**2 - 5*q**2.
-5*(q - 1)*(3*q + 2)
Factor -33063*z + 5*z**3 + 91696 - 28042 + 33587*z**2 - 32963*z**2 - 8*z**3.
-3*(z - 103)**2*(z - 2)
Let b = 2581 + -12901/5. Let l(m) be the first derivative of -b*m**2 + 4/25*m**5 + 3/5*m**4 + 14 - 4/15*m**3 + 0*m - 2/15*m**6. Find k such that l(k) = 0.
-1, 0, 1, 2
Let b be (-8)/((-80)/(-30))*-48. Let f be 5 + (b/120)/((-2)/7). What is g in -4/5 + f*g**2 + 0*g = 0?
-1, 1
Let x be (19/((-39292)/(-423)))/((-3)/(-8)). What is a in 0 - 6/11*a**2 + x*a**4 + 18/11*a**3 - 12/11*a - 6/11*a**5 = 0?
-1, 0, 1, 2
Let k(t) be the first derivative of t**5/60 + 3*t**4 + 216*t**3 + 7776*t**2 - 80*t + 29. Let q(z) be the first derivative of k(z). Factor q(b).
(b + 36)**3/3
Let x be ((-2)/(-6) - (-176)/(-24)) + -5. Let n be 18/x*(1 - -6)/(-42). Factor -1/2*m**2 + 1/4 - 1/4*m + 1/4*m**4 - n*m**5 + 1/2*m**3.
-(m - 1)**3*(m + 1)**2/4
Let p = 2371 - 1907. Suppose 488 = 6*j + p. Factor -j*c + 16/3 - 4/3*c**2.
-4*(c - 1)*(c + 4)/3
Let t be (1056/(-99) - -9)/(140/(-24)). Determine q so that -t*q**4 - 5/7*q - 1/7*q**5 - 6/7 + 6/7*q**3 + 8/7*q**2 = 0.
-3, -1, 1, 2
Let m(c) be the second derivative of -5*c**5/26 + 145*c**4/6 - 1472*c**3/13 + 2628*c**2/13 - 5826*c. Solve m(l) = 0 for l.
6/5, 73
Solve -649/3*q + 216 + 1/3*q**2 = 0.
1, 648
Solve 2515*i**4 - 9392180*i + 2088968 - 13362*i**3 + 2514*i**4 - 5001*i**4 + 41942*i**3 + 7274604*i**2 = 0.
-511, 2/7, 1
Let v(g) be the first derivative of 4*g**6 + 2019*g**5/5 + 14175*g**4 + 177968*g**3 + 32928*g**2 - 1485. Factor v(c).
3*c*(c + 28)**3*(8*c + 1)
Let f = -349 + 371. Suppose 4*i + f*o - 17*o + 13 = 0, 4*i + 3*o = -3. Suppose 9/5*a - 27/5 + 3/5*a**i + 3*a**2 = 0. What is a?
-3, 1
Let w = -10293 + 10297. Let v(i) be the second derivative of 0 - 15*i - 14/3*i**3 + 7/5*i**5 + 4*i**2 - 2/3*i**w. Factor v(q).
4*(q - 1)*(q + 1)*(7*q - 2)
Let s = 436336/44891 + -36/6413. Solve s*f - 16/7 - 16/7*f**2 = 0 for f.
1/4, 4
Suppose 0*q - 32 = -4*q + 4*t, -2*q = 4*t - 46. Suppose q*a = 37*a. Factor 0*g + 0*g**3 + 1/3*g**2 + a - 1/3*g**4.
-g**2*(g - 1)*(g + 1)/3
Suppose 4*l - 2*i - 86 = 0, 64 = 4*l + i - 19. Suppose 5*h + 1 = l. Factor -1 - 20*n**4 + 3 - 4*n**2 + 22*n**h.
2*(n - 1)**2*(n + 1)**2
Let z(m) be the third derivative of -m**7/16380 + 19*m**6/2340 - 361*m**5/780 + 14*m**4/3 + 68*m**2. Let q(n) be the second derivative of z(n). Factor q(w).
-2*(w - 19)**2/13
Suppose 16*w = 10*w + 30. Let a(j) = -10*j**2 + 49*j + 7. Let m be a(w). Let -2/7*u**m - 4/7 + 6/7*u = 0. Calculate u.
1, 2
Factor -63375 - 440/3*w**3 - 5/3*w**4 - 28600*w - 11630/3*w**2.
-5*(w + 5)**2*(w + 39)**2/3
Let f(w) be the second derivative of 8*w**3/3 - 127*w**2 - 336*w. Let j be f(16). Factor -2/11*g + 4/11 - 2/11*g**j.
-2*(g - 1)*(g + 2)/11
Suppose -23 + 3 = -2*c. Let d(o) = 2*o - 17. Let x be d(c). Determine w, given that -2*w**2 + 2*w**3 + 0*w**x + 58*w - 60*w + 2*w**4 = 0.
-1, 0, 1
Let r(g) be the third derivative of g**8/1176 + g**7/735 - 11*g**6/420 - 3*g**5/70 + 3*g**4/14 + 1601*g**2. Determine l, given that r(l) = 0.
-3, -2, 0, 1, 3
Let b = 310 - 306. Determine q so that 4*q**b + 26*q**3 + 141*q**2 - 60*q**2 - 26*q**2 + 6*q - 9*q**2 - 18 = 0.
-3, -1, 1/2
Let c(u) be the first derivative of -53/15*u**3 - 1/5*u**2 - 126/25*u**5 + 27/20*u**6 + 4/5*u + 11 + 273/40*u**4. Find h, given that c(h) = 0.
-2/9, 2/3, 1
Determine o, given that 266256/7 - 4/7*o**3 + 2068/7*o**2 - 268320/7*o = 0.
1, 258
Let z(c) be the third derivative of c**6/24 - 130*c**5 + 126750*c**4 - c**2 - 21*c - 52. Factor z(d).
5*d*(d - 780)**2
Let d(u) be the third derivative of 5*u**4 + 1/24*u**6 + 3/4*u**5 + 0*u + 269*u**2 + 0 + 40/3*u**3. Let d(x) = 0. Calculate x.
-4, -1
Find a such that -310*a**2 - 13*a**3 + 20 - 5*a**5 - 315*a - 17 + 310*a**4 - 3 + 333*a**3 = 0.
-1, 0, 1, 63
Let u(w) = -w**2 + 32*w - 40. Let c(y) = -y**2 + 64*y - 78. Let q(p) = -12*p**2 + 39*p - 4. Let n be q(3). Let l(v) = n*u(v) - 3*c(v). What is f in l(f) = 0?
-17, 1
Suppose 31*p + 130*p + 605 = 535*p - 143. Factor -102602/5*d - 10266/5*d**p - 4/5*d**4 - 70*d**3 - 48778/5.
-2*(d + 29)**3*(2*d + 1)/5
Let u(w) be the first derivative of 18/11*w + 27 + 2/33*w**3 + 10/11*w**2. Let u(z) = 0. Calculate z.
-9, -1
Let g(a) be the third derivative of a**8/336 - a**7/105 - a**6/24 + a**5/6 + a**4/6 - 4*a**3/3 + 553*a**2. Find r such that g(r) = 0.
-2, -1, 1, 2
Let o(d) be the first derivative of -d**6/6 + 3*d**5 - 17*d**4/4 - 141*d**3 + 405*d**2 - 11154. Factor o(i).
-i*(i - 9)**2*(i - 2)*(i + 5)
Let w(f) = -2*f**4 + 166*f**3 + 172*f**2 - 12*f. Let g(c) = -c**4 + 2*c**2 - 3*c. Let i(t) = -4*g(t) + w(t). Let i(a) = 0. What is a?
-82, -1, 0
Let x = -146 - -517. Let h = x + -1479/4. Factor 1/4*u**2 + 1/4*u**3 - h*u + 3/4.
(u - 1)**2*(u + 3)/4
Let o be (-4 - (-192)/20)*(-140)/(-56). Let b(x) be the first derivative of 4*x - 13*x**4 + 16/5*x**5 + 26 - o*x**2 + 20*x**3. Factor b(i).
4*(i - 1)**3*(4*i - 1)
Let t(c) be the first derivative of 2*c**6/3 - 156*c**5/5 + 63*c**4 + 1676*c**3/3 - 816*c**2 - 5328*c - 2001. What is n in t(n) = 0?
-2, 3, 37
Factor 239/3*u + 1/6*u**2 + 57121/6.
(u + 239)**2/6
Let a = -36296 + 110138/3. Factor -a*p - 100/3*p**2 + 0 - 2/3*p**3.
-2*p*(p + 25)**2/3
Let b be 4/(-144)*6/(-4) - (-102)/1224. Find k, given that 1/8*k**2 + 0 + b*k**3 + 0*k = 0.
-1, 0
Let v(c) = -3*c + 114. Let n be v(36). Find b, given that -19 - 304*b**2 - 7 - 32*b**3 + 158*b + n = 0.
-10, 1/4
Let f(w) be the first derivative of -42 - 9/4*w - 9/2*w**2 + 1/12*w**3 + 1/4*w**4. Factor f(a).
(a - 3)*(a + 3)*(4*a + 1)/4
Let n be ((-6)/(-24))/(243/(-432)) + (-794)/(-45). Find j such that 2/5*j**4 + 5488/5 + 252*j**2 + 6664/5*j + n*j**3 = 0.
-14, -1
Let t be -68*(-114)/27132*21/12. Find m such that 0*m + 0 + t*m**3 + 4*m**2 = 0.
-8, 0
Solve 249704 + 2/13*h**2 - 392*h = 0.
1274
Let a(p) be the second derivative of -p**8/1176 + p**6/140 - p**5/105 - 28*p**2 + 2*p + 1. Let j(c) be the first derivative of a(c). Factor j(m).
-2*m**2*(m - 1)**2*(m + 2)/7
Factor -20 + 14/3*f + 2/3*f**2.
2*(f - 3)*(f + 10)/3
Factor 0*m - 52/5*m**3 + 0 + 2/5*m**4 - 1584/5*m**2.
