2*r - 4/9*r**2 + 4/3*r**d + 16/9*r**3 - 8/9 + 2/9*r**5 = 0. What is r?
-4, -1, 1
Suppose -61*q + 24*q = 41*q. Factor 2/9*y**5 + q + 32/9*y**4 + 224/9*y**2 + 98/9*y + 52/3*y**3.
2*y*(y + 1)**2*(y + 7)**2/9
Let p(j) be the first derivative of 2*j**3/9 - 41*j**2/3 - 172*j/3 - 2279. Find o such that p(o) = 0.
-2, 43
Let u = -195 + 247. Factor 1 + 3*l**2 - u*l**3 + 3*l - 66*l**3 + 119*l**3.
(l + 1)**3
Suppose 12*y = 2*y. Suppose y = -j + 4, 5*j = -4*z + 7 + 45. Find n, given that 14*n**2 - 148*n + z*n**3 - 2*n**2 + 140*n = 0.
-2, 0, 1/2
Let t(q) be the third derivative of 53*q**2 - 9/4*q**3 - 3/8*q**4 + 0 + 3/40*q**6 + 1/5*q**5 + 1/140*q**7 - 2*q. Suppose t(k) = 0. Calculate k.
-3, -1, 1
Suppose 8 + 42 + 6*v - 23 - 83 + 2*v**2 = 0. What is v?
-7, 4
Let r(t) be the first derivative of -15/4*t**3 + 125/4*t + 124 + 5/16*t**4 + 75/8*t**2. Factor r(s).
5*(s - 5)**2*(s + 1)/4
Let d(p) be the third derivative of p**6/80 - 3*p**5/40 - 361*p**4/16 - 357*p**3/4 + 2*p**2 - 116*p - 16. Factor d(c).
3*(c - 21)*(c + 1)*(c + 17)/2
Let -69/4*k**2 + 0 - 3*k - 33/8*k**3 = 0. Calculate k.
-4, -2/11, 0
Let g(f) = -f**2 + 28*f - 94. Let u be g(4). Factor 2*x**3 - 20*x + 35*x**2 + 29*x**u - 23*x + 43*x.
2*x**2*(x + 32)
Suppose 0 = -14*c + 8 + 20. Factor -9041 + 54*t**4 - 1827*t**2 + 8337 - 2268*t**3 - 3152*t - 2853*t**c.
2*(t - 44)*(3*t + 2)**3
Determine x, given that 37/4*x**2 - 1/4*x**4 + 0 + 2*x**3 - 11*x = 0.
-4, 0, 1, 11
Factor 47681*q**2 - 60*q + 304 - 23842*q**2 - 23843*q**2.
-4*(q - 4)*(q + 19)
Let y be (-95247)/36762*33/(-18). What is u in 1/4*u**4 - 1/4*u**2 + 19/4*u + 0 - y*u**3 = 0?
-1, 0, 1, 19
Suppose -5*u + 0*b = 5*b - 9640, 2*u - 3850 = 4*b. Let t = u - 1923. Let 1/2*d**3 - 5/2*d + 3/2*d**2 - 1/2*d**t + 1 = 0. Calculate d.
-2, 1
Let i be (4/(-14))/((-14)/98). Let w = 309 - 306. What is j in -3*j**i - 4*j**w - j**2 + 11*j - 11*j = 0?
-1, 0
Let a be 6716/(-1265)*(2 - 1)*(-185)/74. Factor a*u - 76/11*u**2 - 72/11 + 2/11*u**3.
2*(u - 36)*(u - 1)**2/11
Let z(n) be the first derivative of 0*n + 15 + 1/48*n**3 + 33/2*n**2 - 1/480*n**5 + 0*n**4. Let h(t) be the second derivative of z(t). Factor h(c).
-(c - 1)*(c + 1)/8
Factor -3608*l**2 + 3688*l**2 - 3*l**4 - 10*l**5 - 12*l**4 + 15*l**5 - 80 - 20*l**3.
5*(l - 2)**3*(l + 1)*(l + 2)
Let r(c) be the third derivative of -c**7/350 + c**6/100 + 2*c**5/5 + 8*c**4/5 + 244*c**2 - 1. Factor r(f).
-3*f*(f - 8)*(f + 2)*(f + 4)/5
Let d(b) be the third derivative of -b**5/420 - 131*b**4/168 + 67*b**3/7 + 90*b**2 - 8. Suppose d(i) = 0. Calculate i.
-134, 3
Let s be ((-60)/(-42))/((-2)/(-7)). Suppose -s*q - 24*q = -58. Let 13/3*v**2 + 4/3 - q*v**3 + 1/3*v**4 - 4*v = 0. Calculate v.
1, 2
Let p(a) = 3*a**3 + 227*a**2 - 19950*a - 14. Let m(d) = 4*d**3 + 341*d**2 - 29925*d - 22. Let q(f) = -7*m(f) + 11*p(f). Factor q(l).
5*l*(l - 35)*(l + 57)
Let w = -310 - -309. Let m be 0*(w/2 - 0/(-13)). Solve 0*b**3 - 2/9 - 2/9*b**4 + 4/9*b**2 + m*b = 0 for b.
-1, 1
Let a(j) = 3*j**2 - 20*j - 50. Let x(i) = -i**2. Let q be -1 - (-6)/5 - (-36)/45. Let r be (-50)/15*6/(-4). Let b(p) = q*a(p) + r*x(p). Factor b(c).
-2*(c + 5)**2
Find f, given that 23 + 1/3*f**2 + 70/3*f = 0.
-69, -1
Let t(z) be the second derivative of 0 + 4*z**2 + 8*z + 1/3*z**4 + 2*z**3. Factor t(h).
4*(h + 1)*(h + 2)
Let g(o) = -48*o**2 + 143*o - 30. Let k(n) = 49*n**2 - 149*n + 30. Let z(v) = 9*g(v) + 8*k(v). Factor z(p).
-5*(p - 2)*(8*p - 3)
Factor -1012/5*d**2 + 0 + 2/5*d.
-2*d*(506*d - 1)/5
Determine v so that 75*v - 12*v**4 + 65*v**3 + 2*v**5 + 40 + 100*v**2 - 32*v**2 - 73*v**3 + 27*v = 0.
-1, 4, 5
Let f(g) be the first derivative of -25*g**6/36 + 5*g**5/2 - 15*g**4/4 + 3*g**3 - 85*g**2 + 142. Let b(z) be the second derivative of f(z). Factor b(i).
-2*(5*i - 3)**3/3
Let p(d) be the third derivative of -1/210*d**5 + 0 + 12*d - 4/21*d**4 - 4/3*d**3 + d**2. Let p(z) = 0. What is z?
-14, -2
Factor 2/11*i**4 - 206/11*i**3 + 0*i + 0 + 204/11*i**2.
2*i**2*(i - 102)*(i - 1)/11
Let d(f) = -2*f**3 + 9*f**2 - 4*f + 4. Let y be d(4). Factor -5*v**3 - y*v**2 - 4*v**4 + 3*v**3 + 0*v**4 + 10*v**3.
-4*v**2*(v - 1)**2
Solve -1513*l - 1480*l + 2*l**3 - 34*l**2 + 4572*l - 1475*l = 0 for l.
0, 4, 13
Let k be -3*(-680)/(-210)*(-8)/16. Factor -36/7 + 2/7*n**2 - k*n.
2*(n - 18)*(n + 1)/7
Let d(j) be the second derivative of 1/18*j**4 + 0*j**3 - 1/90*j**6 + 0*j**5 + 41 - 1/6*j**2 + 4*j. Let d(r) = 0. Calculate r.
-1, 1
Let c(m) be the third derivative of m**5/90 + 404*m**4/9 + 652864*m**3/9 + 181*m**2 - 10. Suppose c(u) = 0. Calculate u.
-808
Determine p, given that 720 - 696*p - 2184*p**2 - 1332*p**3 - 267*p**4 - 15/2*p**5 = 0.
-30, -2, 2/5
Let d(r) be the second derivative of 33 - 20/3*r**3 + 5/12*r**4 + r - 45/2*r**2. Factor d(m).
5*(m - 9)*(m + 1)
Let z(a) be the second derivative of -20*a - 507*a**2 + 0 - 117/2*a**3 + 6*a**4 - 3/20*a**5. Suppose z(w) = 0. Calculate w.
-2, 13
Let w = 761593/203092 - -1/101546. Solve 1/4*b**2 + w + 4*b = 0 for b.
-15, -1
Factor 148*m**2 - 310*m**2 + 158*m**2 + 544 + 11*m - 131*m.
-4*(m - 4)*(m + 34)
Determine f, given that 0 + 57/2*f**2 - 645/4*f + 3/4*f**3 = 0.
-43, 0, 5
Let 2/7*c**4 + 22/7*c**3 + 52/7 - 54/7*c**2 - 22/7*c = 0. What is c?
-13, -1, 1, 2
Factor -6/7*q**2 + 218/7*q - 72/7.
-2*(q - 36)*(3*q - 1)/7
Let t(w) be the second derivative of -w**5/35 + w**4/7 + 30*w**3/7 - 50*w**2 + 60*w - 6. Factor t(b).
-4*(b - 5)**2*(b + 7)/7
Let r(l) = 593*l - 6*l**3 - 287 - 4*l**3 + 197*l**2 - 498 + 5*l**3. Let w(g) = g**3 - 33*g**2 - 99*g + 131. Let u(x) = -6*r(x) - 34*w(x). Solve u(d) = 0 for d.
-8, 1
Let y = -245 + 249. Factor -2*j**3 - 7 + 4*j**3 + 4*j**2 - j**y - 6*j + 4 + 4*j.
-(j - 3)*(j - 1)*(j + 1)**2
Let 0 + 2/9*n**3 + 14/9*n**2 + 8/3*n = 0. Calculate n.
-4, -3, 0
Let s(p) be the third derivative of p**6/200 - 311*p**5/100 + 3003*p**4/5 + 12168*p**3/5 + 2*p**2 - 4853. Factor s(z).
3*(z - 156)**2*(z + 1)/5
Let j = -1279249/4905 + 5/981. Let b = j - -262. Suppose b*i + 0 + 14/5*i**2 = 0. What is i?
-3/7, 0
Let n(z) be the third derivative of -z**7/70 + 622*z**6/5 - 2321304*z**5/5 + 962567392*z**4 - 1197433835648*z**3 + 18*z**2 - 105. Factor n(a).
-3*(a - 1244)**4
Let i(d) be the first derivative of d**3/3 - 5*d**2/2 + 3*d + 87. Let s(r) be the first derivative of -r**2/2 - 2. Let q(w) = i(w) - s(w). Factor q(u).
(u - 3)*(u - 1)
Let x = 68850 + -68850. Factor 3/5*u**5 + x - 3/5*u**4 + 0*u + 0*u**3 + 0*u**2.
3*u**4*(u - 1)/5
Let d(q) be the first derivative of -49 - 1/8*q**2 + 1/16*q**4 - 2/3*q**3 + 2*q. Find o such that d(o) = 0.
-1, 1, 8
Suppose 2*p + 1954 = 3*s, 6*s = 10*s - 5*p - 2603. Let r = -4555/7 + s. Solve r - 3*v + 15/7*v**2 - 3/7*v**3 = 0 for v.
1, 3
Let s = 865/18 + -428/9. Let f(u) be the first derivative of s*u**4 - 16 - 2/5*u**5 + 2*u**3 - 4*u - u**2. Determine k so that f(k) = 0.
-1, 1, 2
Let d be -15 + 951/21 - 24/2. Find y such that 32/7*y - 2/7*y**2 - d = 0.
8
Let z(q) = -16*q + 66. Let y be z(4). Factor 10*b + 11 + 2*b**2 - b**2 - 2*b**y.
-(b - 11)*(b + 1)
Let u(h) be the first derivative of -15 - 4/27*h**3 + 112/9*h**2 - 220/9*h. Factor u(l).
-4*(l - 55)*(l - 1)/9
Suppose -4*k - 8 = -24. Let z(c) be the second derivative of 1/6*c**2 - 1/120*c**5 + 0*c**k + 1/12*c**3 + 0 - 15*c. Factor z(p).
-(p - 2)*(p + 1)**2/6
Let j(n) = -n**3 + n**2. Let z(v) = 2*v**2 - 40*v - 1. Let x be z(20). Let a(l) = 12*l**3 - 4*l**2 - 8*l. Let u(r) = x*a(r) - 16*j(r). Factor u(i).
4*i*(i - 2)*(i - 1)
Suppose 121 = 22*y + 148 - 93. Let r(p) be the second derivative of -1/45*p**4 + 2/15*p**2 + 1/45*p**y + 8*p + 0 - 1/150*p**5. Determine c so that r(c) = 0.
-2, -1, 1
Let o(g) be the first derivative of -4/3*g**4 + 1/5*g**5 + 22 - 23*g + 2*g**3 + 0*g**2. Let d(y) be the first derivative of o(y). Factor d(w).
4*w*(w - 3)*(w - 1)
Let n(y) = -325*y + 104010. Let x be n(320). Find h, given that 2/5*h + 46/5*h**4 - x*h**2 - 8*h**5 + 38/5*h**3 + 4/5 = 0.
-1, -1/4, 2/5, 1
Solve -12*l - 400/7 + 4/7*l**2 = 0.
-4, 25
Let d(m) = 2*m - 21. Let y be d(10). Let g be (1/y + 0)/(7/(-5481)). Solve -2*a - 782 - a**3 + 3*a**3 - a**4 + g = 0.
-1, 1
Let m(d) be the third derivative of -5/144*d**4 + 72*d**2 - 1/6*d**3 + 0 + 1/180*d**5 + 1/720*d**6 + 0*d. Solve m(k) = 0 for k.
-3, -1, 2
Suppose 209*u + 106*u - 158 = -158. Find f, given that -4/5*f**5 - 4*f**3 + 4*f**4 + 24/5*f - 4*f*