s**3/5 + 789*s**2. Suppose a(g) = 0. Calculate g.
-6, -1/3, 4
Determine h so that 89/5*h**2 - 81/5 - 213/5*h - 3/5*h**3 = 0.
-1/3, 3, 27
Let r be -5 - (-1 + 3)*(-42)/12. Let g(l) be the first derivative of -2*l**r - 8/3*l**3 - 2 + 8*l + l**4. Factor g(w).
4*(w - 2)*(w - 1)*(w + 1)
Let q be (-2)/6 - (-7 + (-220)/(-30))*-6. Let i(t) be the second derivative of 0 + q*t**3 + 18*t - 1/6*t**4 - 4*t**2. Suppose i(v) = 0. Calculate v.
1, 4
Let -3/5*g**4 + 39/5*g**2 + 114/5*g - 6/5*g**3 + 72/5 = 0. What is g?
-3, -2, -1, 4
Solve 3*s**3 + 6*s + 20*s**2 - 41 + 76 - 143 - 144 - s**3 = 0 for s.
-7, -6, 3
Suppose -4*p + 20 = w, 4*p - 1 = -5*w + 19. Let q = 121 - 117. What is b in -4*b**3 - 3 - 2*b + 6*b + q*b**2 + b + w = 0?
-1, 1/2, 3/2
Let d(x) = x**2 - 1. Let n be d(-2). Suppose -2*l + 25 = 5*g, 0 = -4*l - g - 0*g + 5. Factor l*j**2 + j**n + 0*j + 1/3*j**4 + 0.
j**3*(j + 3)/3
Let m(o) = -o**3 + 12*o**2 - 8*o + 9. Let j be m(12). Let y = j - -108. Factor -96 + 55*s**3 - 2*s**2 - y*s**3 - 31*s**3 + 20*s**2.
3*(s - 2)*(s + 4)**2
Let k(h) be the first derivative of 2*h**3/33 - 26*h**2/11 - 2062. Find t, given that k(t) = 0.
0, 26
Let 2811*p**3 + 382*p**2 - 134*p + 387 - 2677*p**3 + 2*p**4 - 771 = 0. Calculate p.
-64, -3, -1, 1
Let y be 36*(24/9 + -2). Suppose y = 4*o + 16. Suppose 8*p**3 + 0*p - 2 - 3*p**4 + p**3 + 5*p**o - 4*p**3 - 5*p = 0. What is p?
-1, -1/3, 1, 2
Let o(g) be the second derivative of 1/5*g**5 + 0 - 30*g - 7/3*g**4 - 16*g**2 + 28/3*g**3. Determine h so that o(h) = 0.
1, 2, 4
Let q = -6 - -8. Let p = 385089/5 - 77017. What is c in -2/5*c - 2/5*c**q + p = 0?
-2, 1
Let m be ((-28)/(-8))/((-95)/(-8) - (-374)/(-34)). Factor k - 1/3*k**2 + 0 - k**3 + 1/3*k**m.
k*(k - 3)*(k - 1)*(k + 1)/3
Let l = 2104 + -2102. Let y(m) be the second derivative of -20*m + l*m**2 + 0 + 2/15*m**6 + 2*m**4 + 4/5*m**5 + 8/3*m**3. Suppose y(c) = 0. Calculate c.
-1
Let d = 3382 - 1930. Let y be (2/11 + (-143)/d)*2. Find b, given that y*b**2 - 1/3 + 1/6*b = 0.
-2, 1
Let w(u) = 6*u**2 + 3*u - 12. Let t(j) = -2*j**2 - 4*j + 12. Let f(r) = r**2. Let l(c) = 5*f(c) - t(c). Let s(g) = -3*l(g) + 4*w(g). Find x such that s(x) = 0.
-2, 2
Factor -31 + 27*r + 3*r**2 + 133*r + 503 + 8 - 49*r.
3*(r + 5)*(r + 32)
Let z(u) = u**4 - 45*u**3 + 390*u**2 - 667*u + 300. Let f(v) = 4*v**4 - 222*v**3 + 1950*v**2 - 3334*v + 1504. Let x(g) = 6*f(g) - 28*z(g). Factor x(o).
-4*(o - 6)*(o - 1)**2*(o + 26)
Let k = -16513 + 66077/4. Let s(r) be the first derivative of -10/3*r**6 + 0*r**2 - 10/3*r**3 - 16 + 11*r**5 + 0*r - k*r**4. Find f such that s(f) = 0.
-1/4, 0, 1, 2
Let 16393*o**2 + 315 + 312*o**3 + 98*o - 410*o - 16711*o**2 + 3*o**4 = 0. Calculate o.
-105, -1, 1
Let f be 11/(-20)*-4 + -3. Let q = 17/15 + f. Determine r, given that 7/9 + 22/9*r**3 + q*r**4 - 1/9*r**5 + 38/9*r**2 + 3*r = 0.
-1, 7
Let a be (-2)/(-17) - (-426916)/476. Solve -450*u**2 + 21 - 452*u**2 + a*u**2 - 17*u + u**3 = 0 for u.
-3, 1, 7
Let t be 386815/572 + (3/4 - 0). Let r = 681 - t. Factor 0 - 3*x**2 + 0*x**3 + 3/4*x**r + 0*x.
3*x**2*(x - 2)*(x + 2)/4
Let f be (-130)/(-195)*(-15)/(-2). Let q(c) be the first derivative of -3/10*c**f + 11 + 3/4*c**2 + 1/2*c**3 + 0*c - 3/8*c**4. Suppose q(v) = 0. Calculate v.
-1, 0, 1
Let g(i) be the first derivative of -i**6/16 - 45*i**5/4 + 909*i**4/32 - 19*i**3 - 5371. Factor g(s).
-3*s**2*(s - 1)**2*(s + 152)/8
Let p(z) be the second derivative of -31/48*z**3 - 1/80*z**5 - 44*z - 3/4*z**2 + 0 - 5/32*z**4. Suppose p(s) = 0. What is s?
-4, -3, -1/2
Let x be 168/(-14) + 8/(-4) - -20. Determine q, given that x*q - 72 - 1/8*q**2 = 0.
24
Let f(z) be the first derivative of 1/10*z**5 + 0*z - 11 + 3/2*z**2 - 1/8*z**4 + 0*z**3 - 1/40*z**6. Let n(l) be the second derivative of f(l). Factor n(p).
-3*p*(p - 1)**2
Factor 45 + 3/7*t**4 + 954/7*t**2 - 948/7*t - 324/7*t**3.
3*(t - 105)*(t - 1)**3/7
Let j(r) be the first derivative of 188 - 14/15*r**3 + 0*r - r**2 + 3/5*r**4. Find v such that j(v) = 0.
-1/2, 0, 5/3
Let x be 390*(-106)/9540*(-6)/182. Solve 2*a**2 + 12/7 + x*a**3 + 25/7*a = 0 for a.
-12, -1
Let p = 115743 - 1967595/17. Factor -p*x + 38/17*x**2 + 0 - 2/17*x**3.
-2*x*(x - 18)*(x - 1)/17
Suppose -370 = -j - 9*j. Factor j*z + 14*z**2 - 29*z - 2 + 8*z**2 + 12*z**3.
2*(z + 1)**2*(6*z - 1)
Let c(m) be the first derivative of m**3/3 - 46*m**2 - 285*m + 2296. Find x, given that c(x) = 0.
-3, 95
Let g be (9/(-2) + 1)*(12 + -8). Let x be (80/(-35))/2*g/12. Factor x*u**2 - 4/3*u + 0.
4*u*(u - 1)/3
Let f(z) be the second derivative of z**6/90 - 13*z**5/10 + 19*z**4/3 - 113*z**3/9 + 25*z**2/2 + 341*z. What is v in f(v) = 0?
1, 75
Factor -270/7 - 87/7*o + 1/7*o**2.
(o - 90)*(o + 3)/7
Let k be 2*(2 - 3) - -7. Suppose -1 = -t + k. Factor -t*v**3 + 2*v**3 + 12*v**2 + 8*v**2.
-4*v**2*(v - 5)
Suppose 27 = 3*o, 2*a + 37 = -134*o + 139*o. Determine r so that 390/7*r**3 + 4/7 - 30/7*r - 2*r**2 - 50*r**a = 0.
-2/7, 1/5, 1
Let k(f) = 22*f**2 + 6*f. Let q be k(-4). Suppose -4*x + 656 = -2*u, -2*x - 4*u + q = u. Factor -2*j**2 - x + 16*j + 296 - 164.
-2*(j - 4)**2
Determine i so that 1320*i - 115 + 405 + 430 + 605*i**2 = 0.
-12/11
Let l(f) be the third derivative of -f**7/105 - 491*f**6/210 - 1599*f**5/10 + 15265*f**4/21 + 20164*f**3/21 + 3172*f**2. What is d in l(d) = 0?
-71, -2/7, 2
Let a(g) be the first derivative of 1/16*g**4 + 7/8*g**2 + 7/12*g**3 - 178 - 15/4*g. Factor a(x).
(x - 1)*(x + 3)*(x + 5)/4
Suppose 10*j - 6*j + 172 = 0. Let p be 4/8*0 - j. Factor p - 9*w - 2*w**2 - 10 - w**2 - 21.
-3*(w - 1)*(w + 4)
Factor -8230445/2 - 5/2*x**2 - 6415*x.
-5*(x + 1283)**2/2
Let m(l) be the second derivative of -1/2*l**4 + 1/84*l**7 + 11*l + 4 + 0*l**2 + 13/40*l**5 - 1/10*l**6 + 1/3*l**3. Factor m(o).
o*(o - 2)**2*(o - 1)**2/2
Let a(n) be the third derivative of -11*n**7/105 - 3*n**6/4 - 8*n**5/5 - n**4/3 - 642*n**2. Determine m so that a(m) = 0.
-2, -1/11, 0
Let m(u) be the second derivative of 3*u**6/5 + 987*u**5/40 - 11963*u**4/8 - 2547*u**3/2 + 1512*u**2 - 15222*u. What is i in m(i) = 0?
-48, -2/3, 1/4, 21
Let f = -10482 - -279472. What is y in 488307 + 203252 + f - 4*y**3 + 732*y**2 - 44652*y - 52625 = 0?
61
Solve 271/5*h**3 + 0*h + 0 + 10*h**4 + 44*h**2 - 1/5*h**5 = 0 for h.
-4, -1, 0, 55
Let m = -1097 - -1100. Let a(v) be the third derivative of 1/8*v**4 + 2/5*v**m + 0*v + 1/100*v**5 + 0 - 9*v**2. Factor a(i).
3*(i + 1)*(i + 4)/5
Suppose -4*w + 39 = 5*r, 5*r - 16 - 21 = -2*w. Suppose -5*l = r - 32. Let 6*b**2 + 2*b**2 + 5*b + 2*b**2 - 11 + 1 - l*b**3 = 0. Calculate b.
-1, 1, 2
Let s(g) be the second derivative of 1/90*g**5 - 3*g**2 + 1/18*g**4 - 1/3*g**3 - 15 - 2*g. Factor s(x).
2*(x - 3)*(x + 3)**2/9
Let z be 6/(-16) + 46 + -26 + 7667/(-440). Factor -1/5*h**2 + z + 2*h.
-(h - 11)*(h + 1)/5
Let q(w) be the second derivative of -33/2*w**3 - 1/14*w**7 - 2*w + 27/2*w**2 + 9/10*w**6 + 23/2*w**4 - 9/2*w**5 - 26. Factor q(g).
-3*(g - 3)**2*(g - 1)**3
Let -124/3 + 30/7*w - 2/21*w**2 = 0. Calculate w.
14, 31
Let w be (-10)/(-12) + 119/102. Factor 34*a - 7*a**w - 9 - 19*a + 2*a**3 - a**3.
(a - 3)**2*(a - 1)
Let z be 432/1944*(1 - (-6)/12). Let z*g**2 - 2*g - 16/3 = 0. What is g?
-2, 8
Let f(v) be the second derivative of -2*v**6/15 + 243*v**5/5 + 245*v**4/3 - 162*v**3 - 488*v**2 - 609*v. Let f(q) = 0. What is q?
-1, 1, 244
Let t(f) be the third derivative of f**8/2016 + f**7/630 - f**6/48 - f**5/18 + 11*f**4/36 + 4*f**3/3 - 690*f**2. Suppose t(u) = 0. Calculate u.
-4, -2, -1, 2, 3
Let z = -176 + 213. Factor -v**4 - 14*v**2 + z*v**2 - 86*v**2 + 49*v + 15*v**3.
-v*(v - 7)**2*(v - 1)
Let m(g) be the second derivative of -5/12*g**4 + 10 - 4205/2*g**2 + 5*g + 145/3*g**3. Factor m(d).
-5*(d - 29)**2
Let q(l) be the first derivative of 6 + 16*l - 6*l**2 - 4/3*l**3. Find f such that q(f) = 0.
-4, 1
Let y = 224957 - 224900. Factor -16 + y*g - 7/2*g**2.
-(g - 16)*(7*g - 2)/2
Factor 2184*i**2 + 225*i**3 - 226*i**3 - 1814*i**2 - 34225*i.
-i*(i - 185)**2
Suppose -4*y + 13 + 3 = 0. Let f be (-28)/(-10) + ((-112)/40)/(-14). Solve 124 + 122 - 4*p**3 + 2*p + f*p**2 - 247 - y*p**4 = 0.
-1, 1/2
Suppose 88 = 12638*m - 12594*m. Factor -12/5*l**3 - 9/5*l - 39/5*l**m + 0.
-3*l*(l + 3)*(4*l + 1)/5
Suppose -i + 12*m - 8 = 15*m, 5*i - m = 24. Suppose -105 = -i*c - 89. Find w, given that 0 - 3/2*w**2 + 3/2*w**c + 3/2*w**3 - 3/2*w = 0.
-1, 0, 1
