- x*f**3 + 2*f**4 - 2*f**2 + 0*f**2 - 53*f.
2*f*(f - 2)*(f - 1)*(f + 1)
Suppose 0*o + 123 = 3*o + 4*y, -5*o = -5*y - 205. Let c = o - 39. Factor -27*v**2 + 19*v**2 + 20 - 25*v + 13*v**c.
5*(v - 4)*(v - 1)
Let n = -13994 + 97964/7. Let y(m) be the first derivative of -20 - n*m + 1/28*m**4 + 13/14*m**2 - 8/21*m**3. Factor y(p).
(p - 6)*(p - 1)**2/7
Let f(t) be the third derivative of 5/1008*t**8 + 1/63*t**7 + 0*t**3 + 8 + 0*t**6 - 5/72*t**4 - 1/18*t**5 + 0*t - 2*t**2. Determine n so that f(n) = 0.
-1, 0, 1
Let w(i) be the second derivative of 1/4*i**2 + 1/120*i**6 - 1/16*i**4 - 1 + 1/24*i**3 - 1/80*i**5 - 2*i. Determine v, given that w(v) = 0.
-1, 1, 2
Let v(y) be the second derivative of 0 - 1/8*y**3 + 1/168*y**7 + 0*y**2 - 32*y - 3/40*y**5 - 1/6*y**4 + 0*y**6. Factor v(f).
f*(f - 3)*(f + 1)**3/4
Let 8/17*n + 8/17 - 6/17*n**2 = 0. What is n?
-2/3, 2
Let j(a) be the second derivative of a**5/20 + a**4/3 - a**3/3 - 3*a**2 + a + 1. Let s be j(-4). Find g such that 4/3*g**3 + 32/3*g - 16/3 - 20/3*g**s = 0.
1, 2
Factor -92 + 4*p**4 + 3*p**4 + 34*p**3 + 27 + 246*p - 9*p**4 - 170*p**2 - 43.
-2*(p - 9)*(p - 6)*(p - 1)**2
Suppose 3*m - 21 = -3*k - 2*k, 5*m + 3*k = 19. Let f be (-6 + -3)/((-3)/m). Factor -f*j**4 + 5*j**4 - 5*j**3 + 2 - j**4 + 9*j**2 - 7*j + 3*j**4.
(j - 2)*(j - 1)**3
Let u(a) be the second derivative of -a**7/98 + 3*a**6/70 - 3*a**5/70 - a**4/14 + 3*a**3/14 - 3*a**2/14 - 3048*a. Factor u(g).
-3*(g - 1)**4*(g + 1)/7
Let v(n) = 210*n - 837. Let d be v(4). Let q(y) be the first derivative of 6 - 1/5*y**d + 0*y + 9/5*y**2. Factor q(o).
-3*o*(o - 6)/5
Let l(s) = -189*s + 6807. Let z be l(36). Let m(u) be the first derivative of 0*u - 29 + 0*u**4 - 1/4*u**2 - 1/4*u**z + 1/20*u**5. Solve m(y) = 0 for y.
-1, 0, 2
Solve 10580 + 26*y - 10*y + 5*y**2 + 13*y + 0*y**2 + 431*y = 0 for y.
-46
Suppose q = 1, -13*x + 11*x + 5*q = 5. Factor 0*r**2 + 2/3*r**3 - 5/3*r**4 - r**5 + x*r + 0.
-r**3*(r + 2)*(3*r - 1)/3
Let t(y) = -6*y**2 + 20*y - 2. Let o be t(2). Factor -9*m**2 - 60*m - m**2 + o*m**2.
4*m*(m - 15)
Let w be -18 + -3 + (-162)/(-48) + 24. Solve w*b**3 + 3/2*b**4 - 3/8*b**2 - 15/2*b + 0 = 0.
-4, -5/4, 0, 1
Factor 14/5*i**3 - 28/5*i**2 + 2/5*i**4 - 96/5*i + 0.
2*i*(i - 3)*(i + 2)*(i + 8)/5
Factor 3*t**5 + 30*t**4 - 10*t**3 + 45*t + 105*t**3 + 74*t**3 - 28*t**3 - 45*t**3 + 114*t**2.
3*t*(t + 1)**2*(t + 3)*(t + 5)
Let q(t) = -5*t**2 + 24*t - 20. Let l(z) = 10*z**2 + 16 + 4 + 33 - 50*z - 13. Let v(d) = 2*l(d) + 5*q(d). Let v(w) = 0. Calculate w.
2
Suppose -4/5*p**4 + 13872/5 - 56*p**3 - 8432/5*p - 5156/5*p**2 = 0. Calculate p.
-34, -3, 1
Let u be -543*2/(-12)*2. Let q be (-2)/3 - (-22)/6. Solve -q*y + 166*y**2 - 6*y**3 - 3*y - u*y**2 = 0.
-2, -1/2, 0
Factor -84 + 88/5*r - 4/5*r**2.
-4*(r - 15)*(r - 7)/5
Let p(t) = -4*t**2 + 1472*t - 2742. Let l(u) = -5*u**2 + 1489*u - 2741. Let n(c) = 6*l(c) - 7*p(c). Find j such that n(j) = 0.
-687, 2
Let h(b) be the first derivative of 2/69*b**3 - 86 + 800/23*b + 40/23*b**2. Factor h(w).
2*(w + 20)**2/23
Let s(y) be the first derivative of -4*y**3/9 - 130*y**2 + 6855. Factor s(v).
-4*v*(v + 195)/3
Factor 0 + 165/2*w**3 - 3/2*w**4 + 84*w**2 + 0*w.
-3*w**2*(w - 56)*(w + 1)/2
Factor 294 - 54*d - 463 - 2*d**2 + 285.
-2*(d - 2)*(d + 29)
Let g = -228 + 223. Let m(z) = z**4 - 11*z**3 + 4*z**2 + 11*z + 5. Let j(x) = -x**3 + x**2 + x + 1. Let r(o) = g*j(o) + m(o). Factor r(v).
v*(v - 6)*(v - 1)*(v + 1)
Let h(t) = -471*t + 5184. Let k be h(11). Suppose -14/5*c**4 + 62/5*c**2 - 8*c + 2*c**5 + 8/5 - 26/5*c**k = 0. What is c?
-2, 2/5, 1
Factor 33832704 - 33832648 + 1839*p + 83314*p**2 + 5929*p**3 + 2477*p.
(p + 14)*(77*p + 2)**2
Factor 1/8*q**2 + 89/2*q + 7921/2.
(q + 178)**2/8
Let r(v) be the first derivative of 5*v**6/6 - 18*v**5 + 25*v**4/2 + 220*v**3 - 1135*v**2/2 + 510*v + 697. Determine m so that r(m) = 0.
-3, 1, 2, 17
Let r(j) = 15*j**2 + 168*j + 35. Let f be r(-11). Find i such that 0*i**f - 3/5*i**3 + 1/5*i**4 + 0*i + 0 = 0.
0, 3
Suppose -4*p = -4, 5*d + 4*p + 14 + 32 = 0. Let f be ((-1)/d*-8)/((-2)/10). Factor -16/5*t**3 + 24/5*t**2 + 4/5 - 16/5*t + 4/5*t**f.
4*(t - 1)**4/5
Let b be 408/558 + (-6)/93. Let y(o) be the first derivative of o**2 - 5 + b*o**3 - 4*o. Solve y(q) = 0 for q.
-2, 1
Let o(h) be the second derivative of -h**5/5 - 65*h**4 - 6138*h**3 + 58806*h**2 + 428*h. Let o(r) = 0. Calculate r.
-99, 3
Solve -275/4*o - 177/4*o**2 - 25/4*o**3 + 1/4*o**4 - 31 = 0 for o.
-4, -1, 31
Suppose -4427277*h**2 - 2546403*h**2 + 217360*h**3 + 53225840*h + 2139447*h**2 + 25*h**5 - 10425680 - 3805*h**4 - 696287*h**2 = 0. What is h?
1/5, 38
Let l(j) be the first derivative of 5/8*j**3 + 9/4*j**2 - 11 - 31*j + 1/16*j**4. Let n(u) be the first derivative of l(u). Factor n(p).
3*(p + 2)*(p + 3)/4
Let n(x) be the second derivative of -x**8/1680 + x**7/280 - x**6/120 + x**5/120 - 7*x**3/6 - 70*x. Let g(t) be the second derivative of n(t). Factor g(i).
-i*(i - 1)**3
Suppose -5*v + 3*u + 39 = 0, -5*u - 149 = -13*v - 70. Factor 0*g + 0 - 18*g**2 + 2/3*g**v.
2*g**2*(g - 27)/3
Let m = 260 - 221. Factor -m*b**3 + 15*b**4 + 12*b**2 + 10*b + 2*b + 0*b.
3*b*(b - 2)*(b - 1)*(5*b + 2)
Let u(k) be the third derivative of -2/1365*k**7 + 2/195*k**5 - 1/2184*k**8 + 0*k + 0 + 1/260*k**6 + 27*k**2 + 0*k**3 - 1/39*k**4. Factor u(d).
-2*d*(d - 1)**2*(d + 2)**2/13
Let c be 40/((-3120)/(-1079)) - 32/(-12). Find z such that 18*z - c - 3/2*z**2 = 0.
1, 11
Suppose 14 = 21*h - 91. Suppose -h*z**5 - 45*z**3 + 17*z**4 - 13*z**4 - 34*z**4 = 0. Calculate z.
-3, 0
Let u(m) be the first derivative of 3*m**5/5 + 3*m**4 - 45*m**3 + 563. Factor u(z).
3*z**2*(z - 5)*(z + 9)
Let y be (576/45 - 14)*(-13)/65*(-50)/(-8). Factor -9/8*u**2 + y*u - 3/8*u**3 + 0.
-3*u*(u - 1)*(u + 4)/8
Let b(j) be the third derivative of j**7/630 - 6*j**6/5 - 217*j**5/45 - 3*j**2 - 2*j - 452. Solve b(z) = 0 for z.
-2, 0, 434
Let r(f) be the second derivative of f**6/165 - 39*f**5/110 + 37*f**4/22 - 109*f**3/33 + 36*f**2/11 - f + 232. Factor r(t).
2*(t - 36)*(t - 1)**3/11
Let b(q) be the second derivative of -205*q**4/42 + 69*q**3/7 - 2*q**2/7 + 957*q. Factor b(x).
-2*(x - 1)*(205*x - 2)/7
Let a(k) be the first derivative of -k**5/20 - k**4/6 + 4*k**3/3 + 45*k - 24. Let s(j) be the first derivative of a(j). Suppose s(m) = 0. What is m?
-4, 0, 2
Factor 39*q**3 + 11*q**4 - 54*q + 3*q**5 + 6*q**2 - 32*q**4 + 3*q**2 + 0*q**4.
3*q*(q - 3)**2*(q - 2)*(q + 1)
Let a = -9/92 + 251/920. Let r(w) be the second derivative of 1/30*w**6 - 1/2*w**2 - 19*w + 1/4*w**4 + 0 - a*w**5 + 1/12*w**3. What is n in r(n) = 0?
-1/2, 1, 2
Let q(j) be the second derivative of -1095*j**4/8 - 547*j**3/2 + 3*j**2/4 + 3571*j. Factor q(t).
-3*(t + 1)*(1095*t - 1)/2
Suppose 0 = 7*s + 42, -67*s + 70*s + 16 = -j. Solve 0 + 20/3*k**4 - 8/3*k**5 - 20/3*k**j + 8/3*k + 0*k**3 = 0.
-1, 0, 1/2, 1, 2
Suppose 47*l - 3150 = 41*l. Let x = 527 - l. Factor -1/9*j**x + 0 - 1/9*j**3 + 2/9*j.
-j*(j - 1)*(j + 2)/9
Let k(s) be the third derivative of -1/180*s**6 - 7/15*s**5 - 800/9*s**3 + 0*s - 40/3*s**4 - 2*s**2 + 18. Solve k(a) = 0 for a.
-20, -2
Let h = 1692 - 1536. Let i = h + -156. Determine w so that 0*w**2 + 4/3*w**4 + 0*w**3 + 0 + i*w = 0.
0
Let c(q) = -11*q**3 - 13*q**2 + 8*q. Let h(p) be the third derivative of 7*p**6/120 + 2*p**5/15 - 5*p**4/24 - 50*p**2. Let r(z) = 5*c(z) + 8*h(z). Factor r(i).
i**2*(i - 1)
Let q be (5/2*(-96)/(-180)*-3)/(-2). Determine v so that -4*v + 10/11*v**4 + 2/11*v**3 - 34/11*v**q - 16/11 + 2/11*v**5 = 0.
-4, -1, 2
Let c(t) be the third derivative of t**8/448 - t**7/35 + 13*t**6/160 - 3*t**5/40 + 134*t**2 - t. Suppose c(w) = 0. Calculate w.
0, 1, 6
Let h(v) be the first derivative of 16/21*v**3 - 72 + 0*v - 3/7*v**2 + 3/14*v**4. Factor h(z).
2*z*(z + 3)*(3*z - 1)/7
Suppose -1760*l + 949*l + 130 = -906*l + 890. Let c = 109/3 - 31. What is b in 0 + l*b - 22/9*b**3 + c*b**2 + 2/9*b**4 = 0?
-1, 0, 6
Let f be (64/12)/(2*(-3)/(-81)). Factor 392*o**2 - 2*o**5 + 64*o**4 - 33*o - 39*o - 2*o**5 - 308*o**3 + f*o.
-4*o**2*(o - 7)**2*(o - 2)
Let a be (-635)/508 + 104/32. Let -5*y**4 - 5/2*y**5 + 0*y - 5/2*y**3 + 0 + 0*y**a = 0. Calculate y.
-1, 0
Suppose -34*l = 3*l - 90*l - 87*l. Let h(w) be the first derivative of 1/18*w**6 + 5/3*w**4 + l*w**2 - 22 + 8/9*w**3 + 0*w + 17/30*w**5. Solve h(z) = 0.
-4, -1/2, 0
Let p(g) 