1/2*h**2 - 1/2*h**3 + y*h**5 + 1/4 = 0. Calculate h.
-1, 1
Let -6/11*s**5 + 0*s + 0 + 86/11*s**3 + 20/11*s**4 + 60/11*s**2 = 0. Calculate s.
-5/3, -1, 0, 6
Suppose 238 = 16*k - 210. Suppose -20*z + k + 12 = 0. Find b such that 5/4*b + 5/4 - 5/2*b**z = 0.
-1/2, 1
Factor 384 + 126*z - 449*z - 65*z + 4*z**2.
4*(z - 96)*(z - 1)
Let y be (5/425*6)/(3/7*(-1435)/(-1025)). Let y*o**2 - 2/17*o**4 - 4/17*o + 4/17*o**3 + 0 = 0. What is o?
-1, 0, 1, 2
Let w(h) be the first derivative of 37 + h**3 - 3/10*h**4 + 0*h**2 + 0*h + 1/100*h**5 + 1/300*h**6. Let s(n) be the third derivative of w(n). Factor s(o).
6*(o - 2)*(o + 3)/5
Suppose -6*f + 12 = -2*f + a, -2*a = -f + 3. Let b = 2940 - 2684. Solve 0*i**4 - 256 + 4*i**f + b + i**4 = 0.
-4, 0
Solve 15600*v**4 - 1634816*v**3 - 3869884244*v**2 - 14589184*v**3 + 9494204244*v**2 - 5*v**5 = 0 for v.
0, 1040
Factor 3*t**3 + 125*t - 4*t + 38*t**2 - 21*t**2 + 28*t**2 + 11*t.
3*t*(t + 4)*(t + 11)
Suppose -68 + 26 = -14*m. Find r, given that -4*r**4 - 416*r - 240*r**2 + 37 - r**3 - 55*r**m - 293 = 0.
-8, -2
Let r(v) be the first derivative of 3*v**4/4 - v**3 - 27*v**2/2 + 27*v - 2936. What is q in r(q) = 0?
-3, 1, 3
Let p = 21253 + -21253. Factor 2/11*w**2 + p - 32/11*w.
2*w*(w - 16)/11
Suppose -5 = 95*s - 195. Let t(g) be the first derivative of -25/2*g**s + 10*g + 20/3*g**3 - 5/4*g**4 + 15. Factor t(f).
-5*(f - 2)*(f - 1)**2
Factor -15*f**2 - 409240*f**4 + 409254*f**4 - 38*f**3 + 3*f**2.
2*f**2*(f - 3)*(7*f + 2)
Let x(o) be the first derivative of 2/5*o**5 - 3*o**2 - 2/3*o**3 + 16 + 3/2*o**4 + 0*o. Factor x(h).
2*h*(h - 1)*(h + 1)*(h + 3)
Let d(b) be the first derivative of -137*b**4/7 + 118*b**3/3 - 20*b**2 + 2*b/7 + 8240. Suppose d(h) = 0. What is h?
1/137, 1/2, 1
Let z(f) be the third derivative of -4*f**7/105 - 449*f**6/30 + 227*f**5/15 + 449*f**4/6 - 150*f**3 + 1708*f**2. Suppose z(s) = 0. What is s?
-225, -1, 1/2, 1
Let f(h) be the second derivative of -h**5/40 - 179*h**4/24 - 2449*h**3/4 + 60543*h**2/4 + 176*h - 20. Factor f(p).
-(p - 7)*(p + 93)**2/2
Let a(f) = 5*f**2 + 14*f + 13. Let k(q) = q**2 + q. Let z(o) = -a(o) + 4*k(o). Let h be z(-2). Factor 24*l**2 + h*l**3 - 9*l**2 - 12*l - 3*l**3 - 3*l**3.
-3*l*(l - 4)*(l - 1)
Let k be 6402/4365 - 4/15. Factor -3/5*z**4 + 9/5*z**3 + k*z - 3/5*z**5 + 0 + 3*z**2.
-3*z*(z - 2)*(z + 1)**3/5
Let f(s) be the first derivative of -s**3/3 - 7*s**2 + 18*s - 7. Let c be f(-15). Factor c*l**2 + 25*l - l**2 - 4*l**2 - 3*l**2.
-5*l*(l - 5)
Let a = 2113/16 - 31663/240. Factor -2/15*s**3 + a*s + 94/15*s**2 - 94/15.
-2*(s - 47)*(s - 1)*(s + 1)/15
Suppose 3*c - 9 = j - 0*j, -2*c = -3*j - 6. Let x(m) = 3*m**2 + m. Let b be x(-1). Factor -7 + 1 + 2 + j - 8*n - 4*n**b.
-4*(n + 1)**2
Suppose -4*c + 30 = -2*c + 3*i, 12 = 3*i. Find n such that 18*n + 25*n**3 + 12*n - 4*n + 14*n**4 + 2*n**5 + 20*n**3 + 6 - c*n**3 + 44*n**2 = 0.
-3, -1
Determine t so that 12825*t + 2*t**5 + 20736 + 826958*t**2 + 9639*t + 426*t**3 - 819722*t**2 - 80*t**4 = 0.
-3, -2, 24
Suppose u = -3*u + 15*u + 23*u. Let c(q) be the second derivative of 0 + u*q**2 + 2*q + 1/8*q**5 + 0*q**3 - 5/8*q**4. Factor c(w).
5*w**2*(w - 3)/2
Let h(j) = 3*j**2 - 50*j + 171. Let f(y) = -y**2 + 17*y - 58. Suppose -8*n - 171 = -147. Let i(t) = n*h(t) - 8*f(t). Determine z, given that i(z) = 0.
7
What is w in -5*w**4 + 339*w**3 - 151*w**3 - 10*w**4 - 180*w + 365*w**2 + 421*w**3 - 79*w**3 = 0?
-1, 0, 1/3, 36
Suppose 2*j = 5*l + 24, 3*j + 3*l - 2*l - 2 = 0. Factor 25*d - j + 55*d + 4*d**2 + 78.
4*(d + 1)*(d + 19)
Suppose z - 69 = -3*l, 36 = 2*l + 8*z - 4*z. What is p in -8*p**2 + 11*p**4 - 32*p - 7*p**4 + 10*p**4 + 2*p**5 + l*p**3 = 0?
-4, -2, 0, 1
Suppose 1476/5*a - 3*a**2 - 588/5 = 0. Calculate a.
2/5, 98
Let u(p) be the second derivative of p**4/20 + 267*p**3/10 - 285*p. Factor u(l).
3*l*(l + 267)/5
Let u(y) be the second derivative of y**4/6 - 472*y**3/3 + 471*y**2 + y - 51. Factor u(h).
2*(h - 471)*(h - 1)
Let x(g) be the first derivative of -g**6/9 + 614*g**5/15 - 23711*g**4/6 + 44362*g**3/9 + 31620*g**2 - 62424*g + 7900. Determine m, given that x(m) = 0.
-2, 1, 2, 153
Let s(g) be the third derivative of -g**7/350 + 7*g**6/200 - 867*g**2. Find a, given that s(a) = 0.
0, 7
Let a = 285 + -258. Let o be (0*(a/6)/9)/(-3). Factor -2/5*m**3 - 6/5*m**2 - 4/5*m + o.
-2*m*(m + 1)*(m + 2)/5
Let g(l) be the third derivative of 11/240*l**6 - 7 + 10*l**2 + 1/3*l**4 - 3/10*l**5 + 0*l - 1/420*l**7 + 16/3*l**3. Factor g(w).
-(w - 4)**3*(w + 1)/2
Let u = -682 + 1354. Suppose -10*k = -6*k - u. What is r in -3 + 75*r**3 + 48*r + 9*r**4 + k*r**2 + 3 = 0?
-4, -1/3, 0
Let n = -86471 - -86471. Determine c, given that -3/2*c - 1/4*c**3 + 7/4*c**2 + n = 0.
0, 1, 6
Let l(v) = -v**2 + 3067*v + 203583. Let m be l(-65). Factor 0*a + 0 - 2/7*a**m + 2*a**2.
-2*a**2*(a - 7)/7
Let a(z) be the second derivative of z**5/10 + 7*z**4/6 + 16*z**3/3 + 12*z**2 - 6*z - 67. Suppose a(v) = 0. What is v?
-3, -2
Let a(j) be the third derivative of 0 + 0*j + 237*j**2 + 5/12*j**4 + 0*j**3 - 7/180*j**5 - 1/360*j**6. Factor a(z).
-z*(z - 3)*(z + 10)/3
Let z(m) = -m**4 + m**2 - 2*m - 2. Let t(g) = 2*g**5 - 3*g**4 - 18*g**3 - 21*g**2 - 10*g - 2. Let l(p) = -2*t(p) + 2*z(p). Let l(i) = 0. Calculate i.
-1, 0, 4
Let n(s) = -15*s. Let x be n(1). Let b be x/(-3)*10/25. Factor f**4 - 5*f**2 + 4*f**b + f**3 + 2*f - f - 2*f.
f*(f - 1)*(f + 1)**2
Let m = -444 + 647. Let z be m/210 - 2/12. Find c, given that z + 4/5*c**2 + 2*c = 0.
-2, -1/2
Factor -184/3*f**2 + 244*f + 16/3.
-4*(f - 4)*(46*f + 1)/3
Let x be 430/(-344) + (-5)/(-20)*5. What is a in -6*a**2 - 1/2*a**5 - 7*a**4 + x + 0*a - 25/2*a**3 = 0?
-12, -1, 0
Let s(c) be the first derivative of -c**4/30 - c**3/5 + 2*c**2 - 10*c - 136. Let l(j) be the first derivative of s(j). Solve l(h) = 0 for h.
-5, 2
Let k = 96702 + -96702. Suppose 7/3*p**2 + 1/3*p**3 + k + 10/3*p = 0. Calculate p.
-5, -2, 0
Let b(t) be the first derivative of 4 + 1/15*t**3 + 0*t - 3/5*t**2. Factor b(m).
m*(m - 6)/5
Let k be (-16)/6*(201 + -192)*(-2)/48. Determine g, given that 3/2*g - 1/2*g**3 + 0*g**2 + k = 0.
-1, 2
Let l(t) = -3 + 22*t - 6*t**2 + 6*t**3 + 1 + 30*t**2 + 16*t. Let b(v) = -v**3 - v + 1. Let a(d) = -2*b(d) - l(d). Suppose a(r) = 0. Calculate r.
-3, 0
Let r be ((-2)/(-6))/((-6)/(-54)). Suppose -27 = r*m - 33. Factor -1/3 + 1/6*g**m + 1/6*g.
(g - 1)*(g + 2)/6
Let v(t) be the third derivative of 1/120*t**6 + 1/2*t**4 + 1/70*t**7 - 13*t**2 + 0*t + 0 - 2/3*t**3 - 11/60*t**5 - 1/336*t**8. Let v(g) = 0. What is g?
-2, 1, 2
Let y(b) be the first derivative of 5*b**6/18 + 19*b**5/3 + 105*b**4/2 + 180*b**3 + 180*b**2 + 93. Solve y(k) = 0 for k.
-6, -1, 0
Let h(i) be the first derivative of -2*i**3/9 - 74*i**2/3 - 230*i - 921. Factor h(n).
-2*(n + 5)*(n + 69)/3
Let y = -65012/3 + 21349. Let r = y + 322. Let -4/3 + r*t**3 - 4/3*t + 1/3*t**2 = 0. What is t?
-2, -1, 2
Suppose 0 = 8*g - 3 - 5. Let l be 4/(-14) + (37/7 - g). Let -50*n**2 - 12*n**4 + l + 58*n**2 + 6*n - 56*n**3 + 36*n**5 + 14*n = 0. What is n?
-1, -1/3, 1
Suppose 0 = -44*j - 60 + 236. Suppose 3*n = 7*r - 6*r - 511, j*r - 2092 = -4*n. What is o in -676/3*o**3 - r*o**2 - 144*o - 32/3 = 0?
-2, -2/13
Let t(i) be the first derivative of i**4/2 - 310*i**3/3 + 307*i**2 - 306*i + 1429. Determine f, given that t(f) = 0.
1, 153
Let q(o) be the third derivative of 223/240*o**5 + 0 + 385/6*o**4 + 0*o - 295*o**2 + 1/240*o**6 - 392/3*o**3. Factor q(i).
(i + 56)**2*(2*i - 1)/4
Suppose 8*x - 75 = 13*x. Let k be (0 + (-9)/x)/((-6)/(-4)). Let -4/5*n + 0 - k*n**2 = 0. What is n?
-2, 0
Let c(t) be the third derivative of t**7/70 - 21*t**6/20 + 37*t**5/4 + 22*t**2 - 2*t - 2. Factor c(w).
3*w**2*(w - 37)*(w - 5)
Factor 132 + 194/3*s - 2/3*s**2.
-2*(s - 99)*(s + 2)/3
Factor 94249/7 + 614/7*i + 1/7*i**2.
(i + 307)**2/7
Factor 3875 + 5*p**2 - 8633*p + 16797*p - 8444*p.
5*(p - 31)*(p - 25)
Let r(b) be the first derivative of -16*b - 64 + 1/3*b**3 + 3*b**2. Factor r(y).
(y - 2)*(y + 8)
Let z = 37 - 13. Factor 0*u**2 + 7571*u - 4*u**2 + z - 7567*u.
-4*(u - 3)*(u + 2)
Let t = 12/68531 + 411030/890903. Factor -t*x**2 + 0*x + 8/13 - 2/13*x**3.
-2*(x - 1)*(x + 2)**2/13
Let v(t) be the third derivative of -t**5/12 + 185*t**4/2 + 6*t**2 - 53*t + 2. Let v(o) = 0. Calculate o.
0, 444
Let s(r) be the second derivative of 1/30*r**5 - 36 + 2*