6*x + 159. Let m be n(-5). Let o be 706/570 - 1 - (-18)/m. Factor 4/15 + o*z**2 + 2/5*z.
2*(z + 1)*(z + 2)/15
Let r(z) = -2*z**3 - 17*z**2 - 7*z - 7. Let n(d) = -d**3 - 8*d**2 - 3*d - 3. Let i be (18/(-15))/(18/30 + -1). Let y(v) = i*r(v) - 7*n(v). Factor y(g).
g**2*(g + 5)
What is o in 5*o**4 + 374*o**3 + 2378*o**2 - 18902*o**2 - 110592 - 89856*o - 2*o**4 - 5*o**4 = 0?
-3, -2, 96
Let x be -13 + 52*(-4)/(-16). Let o(d) be the third derivative of 1/48*d**4 - 1/120*d**5 - 7*d**2 + 0*d + 1/720*d**6 + x - 1/36*d**3. What is b in o(b) = 0?
1
Let a(i) be the second derivative of -i**4/102 + 6*i**3/17 - 32*i**2/17 + 1965*i + 2. Factor a(x).
-2*(x - 16)*(x - 2)/17
Let i(w) = -3*w**3 + 17*w**2 - 10*w + 3. Let q be i(5). Factor t**q - 2*t**2 - 4*t + 223 + 220 - 435.
(t - 2)**2*(t + 2)
Let m(q) be the first derivative of 6*q**5/95 - 31*q**4/38 + 142*q**3/57 - q**2/19 - 84*q/19 + 1487. Suppose m(f) = 0. Calculate f.
-2/3, 1, 3, 7
Let v(u) = 444*u**4 - 783*u**3 + 47416*u**2 + 485595*u + 437407. Let p(b) = -63*b**4 - b**2 - 1. Let g(n) = 7*p(n) + v(n). Suppose g(o) = 0. Calculate o.
-8, -1, 135
Let t(o) be the first derivative of -64 - 15*o + 7*o**3 - 9/2*o**4 + 6*o**2. Let t(g) = 0. Calculate g.
-5/6, 1
Factor -1466/15 - 488/5*w + 2/15*w**2.
2*(w - 733)*(w + 1)/15
Let p(x) = 944*x**2 - 930*x - 11. Let g be p(1). Find m, given that 19/5*m**g + 6/5*m**4 + 4*m**2 + 7/5*m + 0 = 0.
-7/6, -1, 0
Let j(v) be the third derivative of -3*v**7/1400 - 11*v**6/1200 - v**5/100 - 187*v**4/24 + 81*v**2 + 2. Let o(l) be the second derivative of j(l). Factor o(g).
-3*(g + 1)*(9*g + 2)/5
Let f(b) = -15*b**3 + 689*b**2 + 35*b + 506. Let x be f(46). Factor 0*u + x + u**2 - u**3 - 1/4*u**4 + 1/4*u**5.
u**2*(u - 2)*(u - 1)*(u + 2)/4
Let y(c) be the second derivative of -2*c**6/15 + 3*c**5/5 + 2*c**4 - 16*c**3/3 - 34*c - 6. Factor y(f).
-4*f*(f - 4)*(f - 1)*(f + 2)
Let k(v) be the second derivative of v**7/105 - 3*v**6/25 + 7*v**5/25 + v + 1854. Factor k(u).
2*u**3*(u - 7)*(u - 2)/5
Let n be (20/125)/(336/210). Let v(a) be the second derivative of 1/2*a**4 + 0 + 1/3*a**3 - 17*a - n*a**5 - 1/15*a**6 - 2*a**2. Solve v(f) = 0 for f.
-2, -1, 1
Let u = -1760493/2 - -880247. Factor 0*w**3 + u*w + 3/4*w**2 - 1/4*w**4 + 0.
-w*(w - 2)*(w + 1)**2/4
Suppose -827*w = -2779 + 846 - 1375. Factor -2/5*h**5 + 4/5*h**2 + 0*h**3 + 0 - 4/5*h**w + 2/5*h.
-2*h*(h - 1)*(h + 1)**3/5
Let c(w) be the first derivative of -w**4/20 - 3*w**3 + w**2/10 + 9*w + 289. Suppose c(a) = 0. Calculate a.
-45, -1, 1
Let k(z) = 12*z**4 - 186*z**3 - 291*z**2 + 186*z + 276. Let l(r) = 2*r**4 - r**3 + r**2 + r - 4. Let g(s) = k(s) - 3*l(s). Determine w, given that g(w) = 0.
-3/2, -1, 1, 32
Let u be 7/(-6)*-2*(22 + -13). Let d(i) = -9 + 0*i - 5*i + 11*i**2 - u*i**2 + 23*i**2. Let m(j) = 3*j**2 - j - 2. Let v(q) = -2*d(q) + 9*m(q). Factor v(s).
s*(s + 1)
Let k(j) = -j**3 + 653*j**2 - 2596*j + 2. Let l be k(4). Suppose -10/3*c**2 - 1/3*c + 4/3*c**4 + 1/3*c**5 + 0*c**3 + l = 0. What is c?
-3, -2, -1, 1
Let b(q) = -4*q**3 + 186*q**2 - 3360*q - 46818. Let c(p) = 33*p**3 - 1488*p**2 + 26877*p + 374544. Let l(o) = -17*b(o) - 2*c(o). Let l(i) = 0. What is i?
-9, 51
Find p, given that 1/3*p**2 - 634/3*p + 100489/3 = 0.
317
Let t(n) be the first derivative of 7/4*n**4 - 17/3*n**3 + 17/2*n**2 - 79 - 1/5*n**5 - 6*n. Factor t(l).
-(l - 3)*(l - 2)*(l - 1)**2
Let q(d) be the first derivative of -d**6/180 + d**5/4 - 110*d**3/3 - 14. Let h(o) be the third derivative of q(o). Determine z, given that h(z) = 0.
0, 15
Let t(q) be the first derivative of -4*q**5/5 + 522*q**4 - 1388*q**3 + 1040*q**2 - 9303. Let t(b) = 0. What is b?
0, 1, 520
Factor -35*p**4 + 0*p**2 + 0*p + 0 - 135/4*p**3 - 5/4*p**5.
-5*p**3*(p + 1)*(p + 27)/4
Determine q so that 0 - 32/7*q + 2/7*q**4 + 66/7*q**2 - 36/7*q**3 = 0.
0, 1, 16
Let o(z) be the first derivative of 24/7*z**3 + 1/7*z**5 + 2 + 32/7*z**2 + 16/7*z + 8/7*z**4. Factor o(k).
(k + 2)**3*(5*k + 2)/7
Factor -119*s**2 - 182*s**2 + 296*s**2 + 1260 - 295*s.
-5*(s - 4)*(s + 63)
Suppose 5*o - h = 89, 12 + 6 = 2*o + 4*h. Suppose 2*v = -2, o = 3*c + c - v. Factor 18*z - 6*z + 29*z**2 - 37*z**3 + 55*z**3 + 3*z**c - 2*z**2.
3*z*(z + 1)**2*(z + 4)
Let k = 10672/58091 - 10/5281. Find z such that 800/11 + 80/11*z + k*z**2 = 0.
-20
Let k = -9/1820 + -1/364. Let c = 133/390 + k. Factor 0*p - 1/3*p**2 + c.
-(p - 1)*(p + 1)/3
Suppose 4*j = n - 12, 5*n - 3*j - 53 = 24. Let g = -14 + n. Find x, given that 15 + 2*x**3 - x**3 + 0*x**3 + 5*x**4 + 9*x**3 - 20*x**g - 10*x = 0.
-3, -1, 1
Let d be (-3816)/15*40/(-12) + 6. Let s = 2570/3 - d. Factor 0 + 2/3*p**5 + 8/3*p**4 + 0*p**2 + 0*p + s*p**3.
2*p**3*(p + 2)**2/3
Let a = -880 + 886. Let m(h) be the first derivative of -1/27*h**a + 0*h**2 - 2/45*h**5 + 20 + 0*h + 0*h**3 + 0*h**4. Let m(l) = 0. What is l?
-1, 0
Solve -1542*p**2 - 1545*p**2 + 3088*p**2 - 947*p = 0.
0, 947
Let n(x) be the second derivative of x**4/102 - 16*x**3/3 - 1104*x**2/17 - 2234*x. Determine p, given that n(p) = 0.
-4, 276
Let l(c) = -20542*c**2 + 46627*c - 26565. Let h(b) = -6847*b**2 + 15542*b - 8850. Let k(n) = 7*h(n) - 2*l(n). Factor k(r).
-5*(37*r - 42)**2
Let k(u) be the third derivative of -3/5*u**5 - 1/5*u**6 - 2/105*u**7 + 193*u**2 + 0 + 0*u**3 + 0*u - 2/3*u**4. Factor k(s).
-4*s*(s + 1)**2*(s + 4)
Factor -649*i**2 + 414*i**2 + 1205 - 5*i**3 - 970*i**2 + 5*i.
-5*(i - 1)*(i + 1)*(i + 241)
Let z = -857/27 - -5743/135. Factor -243/5 + z*i - 3/5*i**2.
-3*(i - 9)**2/5
Let r(y) be the second derivative of 9*y + 0 + 0*y**2 - 2/3*y**3 - 1/3*y**4. Solve r(l) = 0 for l.
-1, 0
Let d be 31/(-2) + 4704/196. Factor -d*z**3 + 18*z**2 - 21/2*z + 1.
-(z - 1)**2*(17*z - 2)/2
Suppose -3*w + 5*h - 382 = -472, 5*h + 60 = -3*w. Suppose 4/13*u**w + 0 - 10/13*u**3 + 4/13*u**2 + 2/13*u**4 + 0*u = 0. Calculate u.
-2, 0, 1/2, 1
Let h(b) be the second derivative of -b**7/70 + 3*b**6/10 + 111*b**5/100 - 47*b**4/20 - 36*b**3/5 + 102*b**2/5 - 238*b - 1. Determine m so that h(m) = 0.
-2, 1, 17
Let n = 3 - -9. Let m = n + 0. Factor 2*w**2 - m*w**3 - w**2 + 2*w - 2*w**3 + 13*w**3.
-w*(w - 2)*(w + 1)
Suppose 29867 = 267*a + 29600. Let -7/4*d**3 - 1/4*d**5 + a - 5/4*d**4 + 2*d + 1/4*d**2 = 0. Calculate d.
-2, -1, 1
Let y(o) be the third derivative of o**6/360 - 169*o**5/180 + 860*o**4/9 + 3698*o**3/3 - 10*o**2 - 63*o. Let y(n) = 0. What is n?
-3, 86
Let k(r) be the second derivative of -r**7/21 - 14*r**6/15 + 8*r**5/5 + 7*r**4/3 - 5*r**3 + 346*r + 6. Let k(i) = 0. What is i?
-15, -1, 0, 1
Let j(c) = 2*c**2 + 13*c - 20. Let l be j(15). Factor -250*x**4 - 592*x**3 + 40*x**2 + l*x**5 - 511*x**3 + 1003*x**3.
5*x**2*(5*x - 2)**2*(5*x + 2)
Let w be (10/(-4) + (-6)/((-30)/5))*-2. Factor 2/9*q**4 - 4/9*q**2 + 2/9 + 4/9*q**w - 2/9*q - 2/9*q**5.
-2*(q - 1)**3*(q + 1)**2/9
Let c(d) be the first derivative of 2*d**5/5 - 9*d**4/2 - 12*d**3 + 320*d**2 - 1344*d - 5801. Factor c(o).
2*(o - 7)*(o - 4)**2*(o + 6)
Let p(g) be the second derivative of 2*g**7/21 - 6122*g**6/15 + 625463*g**5 - 1070562419*g**4/3 + 8489639536*g**3/3 - 8464718872*g**2 + 12*g + 7. Factor p(x).
4*(x - 1019)**3*(x - 2)**2
Let o be (6/14)/(135 + -134). Suppose 138/7 + o*p**3 + 144/7*p**2 + 279/7*p = 0. What is p?
-46, -1
Let l(u) = 11*u**2 - 5*u + 5. Let v be l(1). Let g(z) be the second derivative of -2/21*z**3 + 0 - 1/42*z**4 + 0*z**2 + v*z. Factor g(x).
-2*x*(x + 2)/7
Let b be 4665/20 + (-15)/(-20). Let f = -1168/5 + b. Solve -f*j + 6/5*j**3 + 0 + 0*j**2 + 4/5*j**4 = 0 for j.
-1, 0, 1/2
Let u(r) be the first derivative of -r**8/15120 + r**7/2520 + r**6/810 + 172*r**3/3 - 116. Let c(t) be the third derivative of u(t). Factor c(k).
-k**2*(k - 4)*(k + 1)/9
Let l be 136/(-24) - (0 + 3 - (95 + -86)). Let 0*a**3 + 2/3*a**4 - 2/3*a**2 + l*a**5 - 1/3*a + 0 = 0. Calculate a.
-1, 0, 1
Let u(k) = 140*k**2 + 69185*k + 68095. Let a(b) = -3*b**2 - 1472*b - 1449. Let w(o) = -95*a(o) - 2*u(o). Factor w(d).
5*(d + 1)*(d + 293)
Let q(b) be the first derivative of -5*b**6/36 + 4*b**5/3 - 25*b**4/8 - 20*b**3/9 + 20*b**2/3 + 825. Let q(s) = 0. Calculate s.
-1, 0, 1, 4
Let r(d) be the second derivative of d**5/20 - d**4/6 - 41*d**3/6 + 21*d**2 - 3327*d. What is q in r(q) = 0?
-6, 1, 7
Let x be -2 + (-82)/(-10) - (-13)/(-65). Let a be 6*(9/x - 1) - 1. What is p in -1/8*p + 0*p**a + 0 + 1/8*p**3 = 0?
-1, 