p**3 + y*p**4 - 5/2 = 0?
-5, -1, 1
Let u(w) = w**3 - 2*w**2 + 3*w - 2. Let h be u(1). Suppose -s + 3*s + 0*s = h. Solve 5 - 3*g + 1 + s - 3*g**2 = 0.
-2, 1
Let 80/3 - 8836/3*i**3 + 44932/3*i**2 - 3776/3*i = 0. What is i?
2/47, 5
Let q(i) be the third derivative of 7*i**6/160 + 11*i**5/3 + 3059*i**4/32 - 147*i**3/4 + 179*i**2 + 2. Find n such that q(n) = 0.
-21, 2/21
Let -2247200/3 - 1/6*z**2 - 2120/3*z = 0. What is z?
-2120
Let r(q) be the third derivative of 0*q + 1/18*q**4 - 1/90*q**6 - 2/9*q**3 + 0 + 43*q**2 + 1/630*q**7 + 1/60*q**5. Factor r(x).
(x - 2)**2*(x - 1)*(x + 1)/3
Let c(j) = 3*j**4 + 49*j**3 + 252*j**2 - 5544*j - 31757. Let w(r) = 5*r**4 + 74*r**3 + 377*r**2 - 8316*r - 47636. Let y(b) = -8*c(b) + 5*w(b). Factor y(z).
(z - 18)**2*(z + 7)**2
Suppose 1/2*j**2 - 81/2*j + 0 = 0. Calculate j.
0, 81
Let f be -53 - ((-219375)/(-91))/(-45). What is r in -16/7*r**2 + 0 + 32/7*r - 8/7*r**3 + f*r**4 = 0?
-2, 0, 2
Suppose -32 = 5*o + 43. Let w be ((-18)/o)/(-3) + 124/10. Suppose 4 + 10*n - w*n**3 + 8*n**2 + 5*n**3 + 9*n**3 = 0. What is n?
-2, -1
Suppose 7*v - 3*t + 10 = 0, -5*v - 3*t = 1203 - 1237. Let 0*a + 0 - 2*a**2 - 2/5*a**3 + v*a**4 + 2/5*a**5 = 0. Calculate a.
-5, -1, 0, 1
Let k be (12 - (11 + -63))/(1/(-2)). Let i = -637/5 - k. Solve -i*q**2 - 3/5*q - 1/5*q**3 - 1/5 = 0.
-1
Suppose 6*i + 10161 = 10359. Let n(f) be the second derivative of 0*f**3 + 1/60*f**5 + 0*f**2 - 1/90*f**6 + 0*f**4 + 0 - i*f. Factor n(b).
-b**3*(b - 1)/3
Find k, given that -114228*k**3 + 294*k**4 + 458*k**2 - 1200 + 112401*k**3 - 360*k + 2635*k**2 = 0.
-1/2, 1, 20/7
Let g = -2/18317 - -18321/36634. Let k(f) be the first derivative of 15/2*f**2 - 2*f**3 - 6*f + 12/5*f**5 - 3*f**4 - g*f**6 + 42. Factor k(o).
-3*(o - 2)*(o - 1)**3*(o + 1)
Let d(i) be the first derivative of i**5/15 - 31*i**4/12 + 58*i**3/3 - 24*i**2 - 44. Factor d(r).
r*(r - 24)*(r - 6)*(r - 1)/3
Factor -706/3*r + 468 + 2/3*r**2.
2*(r - 351)*(r - 2)/3
Let c(f) be the first derivative of f**6/15 + 14*f**5/25 + 8*f**4/5 + 8*f**3/5 + 4289. Suppose c(q) = 0. Calculate q.
-3, -2, 0
Let h(q) be the second derivative of q**7/84 + 13*q**6/30 - 57*q**5/20 + 22*q**4/3 - 119*q**3/12 + 15*q**2/2 - 143*q. Suppose h(m) = 0. Calculate m.
-30, 1
Let b(q) = -q**2 + 21*q - 16. Let v be b(20). Factor -2*o - 2 + o**2 + v*o**3 - 7 - 3*o**2 - 2*o**3 + 11.
2*(o - 1)**2*(o + 1)
Let l(f) = -f**2 - 8*f - 2. Let i be l(-8). Let k be i*(-9)/(-24) - 33/(-12). Factor 2*y**2 - 5*y + 10*y - y**k + 36 + 7*y.
(y + 6)**2
Let b be 6/(-4)*(-14)/(-7). Let x(p) = p**3 + 4*p**2 - 2*p - 5. Let a be x(b). Find u such that -4*u**4 - 12 - u**3 + 18*u - 7*u**3 - a*u + 16*u**2 = 0.
-3, -1, 1
Suppose -k - 3*i + 6 + 10 = 0, 0 = 5*k - 5*i. Let m(t) be the first derivative of 3/8*t**k + 13 + 15/4*t**2 + 3*t + 2*t**3. Factor m(s).
3*(s + 1)**2*(s + 2)/2
Let f = -914 + 767761/840. Let a(z) be the third derivative of -1/50*z**5 + 0*z**3 - 17*z**2 + 0 - 1/105*z**7 + 7/300*z**6 + 0*z + f*z**8 + 0*z**4. Factor a(t).
2*t**2*(t - 3)*(t - 1)**2/5
Let d(r) = -13*r**2 + 5433*r - 1838739. Let l(i) = 120*i**2 - 48900*i + 16548652. Let z(f) = 28*d(f) + 3*l(f). Suppose z(s) = 0. What is s?
678
Let t(x) be the second derivative of -x**5/90 + 7*x**4/9 - 200*x**3/27 - 64*x**2 - 4772*x. Find q, given that t(q) = 0.
-2, 8, 36
Let q(b) be the first derivative of -b**5/20 + 53*b**4/4 - 11021*b**3/12 - 11449*b**2/4 + 618. Find h such that q(h) = 0.
-2, 0, 107
Let d be 7 + (1 + -8 - -8). What is a in d*a - 1057*a**2 - 1056*a**2 - 50*a - 45 + 2116*a**2 = 0?
-1, 15
Let n(v) be the third derivative of -v**6/24 - 13*v**5/3 + 535*v**4/24 - 45*v**3 - 175*v**2 + 2. Factor n(b).
-5*(b - 1)**2*(b + 54)
Solve 54/7 - 18/7*p**4 + 376/7*p + 456/7*p**3 + 796/7*p**2 = 0.
-1, -1/3, 27
Let w(c) be the third derivative of -2 + 5/84*c**4 + 0*c - 2/3*c**3 + 1/210*c**5 - c**2. Factor w(u).
2*(u - 2)*(u + 7)/7
Let a(h) be the third derivative of h**8/168 + 2596*h**7/105 + 421201*h**6/15 + 148*h**2 + 14. Factor a(p).
2*p**3*(p + 1298)**2
Let b(r) be the first derivative of -r**2 - 3*r**4 + 8/3*r**6 + 0*r + 10/3*r**3 + 61 - 8/5*r**5. Factor b(s).
2*s*(s + 1)*(2*s - 1)**3
Let z(p) be the second derivative of -47*p**7/189 + 32*p**6/45 + 43*p**5/90 - 16*p**4/9 + 4*p**3/27 - p + 24. Find c, given that z(c) = 0.
-1, 0, 2/47, 1, 2
Let t(k) be the first derivative of 0*k + 198 - 56*k**3 - 1176*k**2 - 3/4*k**4. Factor t(x).
-3*x*(x + 28)**2
Let l(x) be the second derivative of 2*x**7/21 - 16*x**6/15 + 3*x**5/5 + 32*x**4/3 - 56*x**3/3 - 4835*x. Let l(o) = 0. Calculate o.
-2, 0, 1, 2, 7
Let x = 1 - 1. Let i = 7251432 + -65262886/9. Find t, given that 2/3*t**3 + x - 2/9*t**4 + i*t**2 - 2/9*t - 4/9*t**5 = 0.
-1, 0, 1/2, 1
Let r(w) = 28*w - 1282. Let t be r(46). Let g(l) be the second derivative of 1/6*l**t - 4*l - 1/4*l**5 + 0*l**2 + 5/6*l**3 - 5/12*l**4 + 0. Factor g(a).
5*a*(a - 1)**2*(a + 1)
Suppose -7*z = -4*z. Suppose z*m - 8 = -2*m. Factor -12*x**3 + 5*x**4 - 192 + 36*x**2 - 15*x**4 + 7*x**m + 96*x.
-3*(x - 2)**2*(x + 4)**2
Let w be (5 - -2) + (-845)/39*(-39)/(-130). Factor -w*k**4 + 0*k - 9/2*k**3 - 7*k**2 + 0.
-k**2*(k + 2)*(k + 7)/2
Let t(i) be the third derivative of -i**5/15 + 81*i**4/28 - 85*i**3/21 - i**2 - 16*i + 3. Find o such that t(o) = 0.
5/14, 17
Suppose 3*s + 5*x = 43, 5*s - 18*x - 63 = -22*x. Suppose s*g**3 - 16*g**3 - 74*g - 391*g - 16*g**3 - 127 + 204*g**2 - 23 = 0. What is g?
-2/7, 5
Let n = -117 - -119. Factor -6900*y + 71*y**2 - 5*y**3 + 29*y**n + 90 + 6715*y.
-5*(y - 18)*(y - 1)**2
Let v(p) be the first derivative of -p**2/2 + 8*p + 9. Let w be v(-4). Let -5 + 24*h + w - 4*h**2 - 43 = 0. Calculate h.
3
Let j = 1317318 - 9221224/7. Suppose -256/7 - 192/7*y - 36/7*y**2 - j*y**3 = 0. What is y?
-8, -2
Suppose 0*q - 44 = -3*q - u, -5*q + u = -68. Let p(k) be the second derivative of 0 - 1/78*k**4 + 6/13*k**2 + q*k + 1/39*k**3. Determine v, given that p(v) = 0.
-2, 3
Let z be (-27)/(-189) - (-79)/231. Let s(v) be the first derivative of 1/22*v**2 - z*v**3 + 7 - 7/66*v**6 + 2/11*v - 17/22*v**4 - 26/55*v**5. Factor s(n).
-(n + 1)**4*(7*n - 2)/11
Let f(g) be the third derivative of -g**5/12 + 125*g**4/8 + 190*g**3/3 + 1834*g**2 + 3. Factor f(j).
-5*(j - 76)*(j + 1)
Let p(k) be the third derivative of -k**7/420 - k**6/360 + k**5/24 - k**4/12 - 12*k**3 + 30*k**2 + 2*k. Let x(q) be the first derivative of p(q). Factor x(r).
-(r - 1)*(r + 2)*(2*r - 1)
Let w(f) be the third derivative of 0 + 1/24*f**6 - 5/24*f**4 - 162*f**2 + 0*f**3 + 0*f + 0*f**5. Let w(q) = 0. What is q?
-1, 0, 1
Let v(r) be the first derivative of -r**6/40 - 13*r**5/60 + 11*r**4/24 + 5*r**3/6 - r**2/2 - 9*r - 17. Let l(y) be the second derivative of v(y). Factor l(z).
-(z - 1)*(z + 5)*(3*z + 1)
Let j = -22186 - -22190. Let m(o) be the third derivative of 0 + 0*o**3 + 1/960*o**6 + 3/16*o**j + 0*o + 23*o**2 + 1/40*o**5. Let m(c) = 0. What is c?
-6, 0
Let v(i) be the first derivative of -5*i**4/4 + 280*i**3/3 - 1525*i**2/2 + 1250*i + 7426. Suppose v(y) = 0. Calculate y.
1, 5, 50
Suppose -4*r**4 - 40*r**3 + 124*r**2 - 122*r + 0*r**4 + 40 + 67833*r**5 - 67831*r**5 = 0. Calculate r.
-5, 1, 4
Let 34460500 + 2801*b**2 + 1512900*b + 927*b**3 + 19339*b**2 - 410*b**3 - 409*b**3 = 0. What is b?
-205/3
Let 31/2*s + 7*s**2 + 8 - 1/2*s**3 = 0. Calculate s.
-1, 16
Let o = 2074838/622455 + 4/207485. Factor o*t - 28/9 - 2/9*t**2.
-2*(t - 14)*(t - 1)/9
Let l be (-14)/18*2511/(-651). Suppose 256/7*b**2 - 32/7*b**l + 1/7*b**4 + 0*b + 0 = 0. Calculate b.
0, 16
Let m be ((-20)/(-24))/((-2)/(-30)). Let a = 6/162671 - -813343/325342. Factor a*l**2 + 0 + m*l.
5*l*(l + 5)/2
Let f(d) = 7*d**2 - 13*d - 17. Suppose 2*w = -2*t - 10, 9*w = t + 14*w + 13. Let i(q) = 17*q**2 - 25*q - 35. Let b(s) = t*i(s) + 7*f(s). Factor b(v).
-2*(v + 1)*(v + 7)
Let n(w) be the first derivative of -3*w**5/25 - 9*w**4/10 - 9*w**3/5 + 6*w**2/5 + 36*w/5 + 1927. What is q in n(q) = 0?
-3, -2, 1
Let x = 7 + -8. Let q(v) = -v**2. Let p be 2/(-6)*(-23 - -38). Let z(o) = 4*o**2 - 3*o - 2. Let j(y) = p*q(y) + x*z(y). Factor j(a).
(a + 1)*(a + 2)
Suppose 5*b + 5*d + 0*d - 10 = 0, 5*b - 16 = -3*d. Suppose -8*x = -19 - b. Factor 333*a**3 + 9*a**2 - a**4 - 6*a + x*a**5 - 330*a**3 + a**4 - 9*a**4.
3*a*(a - 2)*(a - 1)**2*(a + 1)
Let c(m) = 3*m**3 + 139*m**2 - 146*m + 8. Let v(w) = 3