- t*c**o - 4/3*c = 0. Calculate c.
0, 2
Suppose -194*g - 96 = -202*g. What is q in -24*q + g*q - q**3 + 52*q + 39*q**2 = 0?
-1, 0, 40
Factor 42/5*d + 2/5*d**2 + 76/5.
2*(d + 2)*(d + 19)/5
Factor -1/5*n**3 - 184/5*n**2 - 364/5*n + 0.
-n*(n + 2)*(n + 182)/5
Let w be (3 - (4 - 2)) + 0. Let z = w - -1. Factor 0*k**2 + 7*k**3 - 6*k**2 - 2*k**z + 13*k**3.
4*k**2*(5*k - 2)
Let n(d) be the third derivative of 0*d - 37/6*d**3 - 2/15*d**5 + 1/180*d**6 - 5 - 2*d**2 + 0*d**4. Let m(f) be the first derivative of n(f). Factor m(b).
2*b*(b - 8)
Factor 2*j**4 + 24*j**3 + 38*j**4 + 140*j + 37 + 3 + 101*j**3 + 190*j**2 + 5*j**5.
5*(j + 1)**2*(j + 2)**3
Let -2890*p + 6512*p + 209*p**2 - 85*p**2 - 6048242 + 3334*p - 126*p**2 = 0. What is p?
1739
Let t(b) be the first derivative of 2*b**5/5 - 104*b**4 + 6484*b**3 + 113360*b**2 + 594050*b - 929. Factor t(j).
2*(j - 109)**2*(j + 5)**2
Factor 267*o**2 - 24*o**4 - 91*o**2 - 48*o**2 - 4*o**5.
-4*o**2*(o - 2)*(o + 4)**2
Let v(i) be the second derivative of 3/8*i**2 - 144*i - 3/40*i**5 + 0 + 0*i**4 - 1/40*i**6 + 1/4*i**3. Find g such that v(g) = 0.
-1, 1
Let h(p) be the second derivative of -1/10*p**6 + 0*p**2 + 2*p**3 - 9/4*p**4 + p + 9/10*p**5 - 53. Factor h(w).
-3*w*(w - 4)*(w - 1)**2
Let j = -933 - -6536/7. Let c(r) = 8*r + 248. Let q be c(-31). Solve 1/7*h**3 - j*h + 4/7*h**2 + q = 0.
-5, 0, 1
Let m(g) be the third derivative of -g**8/4032 + 5*g**7/1008 - g**6/36 - 3*g**5/5 + g**4/24 - 26*g**2. Let a(z) be the third derivative of m(z). Factor a(c).
-5*(c - 4)*(c - 1)
Let v(n) be the first derivative of -1/4*n**3 + 9/8*n - 3/40*n**5 - 1/16*n**6 - 15/16*n**2 + 11 + 9/16*n**4. Let v(a) = 0. Calculate a.
-3, -1, 1
Suppose 2*d - 2*c - 2886 = 0, -d = -3*d + c + 2888. Factor -17*y**3 + 40*y**3 - 18*y**3 + 165*y**2 - d + 1275*y.
5*(y - 1)*(y + 17)**2
Let f(w) be the first derivative of -w**6/6 + 3*w**5/20 + w**4/6 - 119*w + 241. Let d(c) be the first derivative of f(c). Solve d(p) = 0.
-2/5, 0, 1
Let q(p) = -2*p**4 - 14*p**3 + 15*p**2 + 18*p - 54. Let k(g) = g**3 - 2*g**2 - 2*g + 6. Let h(s) = 9*k(s) + q(s). Let h(b) = 0. What is b?
-3/2, -1, 0
Let m(c) be the first derivative of 734*c**3/9 - 365*c**2/3 - 4*c/3 - 119. Determine h, given that m(h) = 0.
-2/367, 1
Suppose 289*j + 150 = 295*j. Determine l so that 20 - 11 - j*l**2 - 20*l - 85*l**3 - 55*l**2 - 9 - 25*l**4 = 0.
-2, -1, -2/5, 0
Suppose -432*a + 45 + 360 - 810735*a**4 + 810736*a**4 - 24*a**3 + 162*a**2 = 0. What is a?
3, 15
Determine l so that -1041*l**2 - 10*l + 289*l + 5*l**3 - 49*l**2 - 1374*l = 0.
-1, 0, 219
Let c = -60300 + 180917/3. What is f in -c*f**2 + 2*f - f**4 + 0 - 1/3*f**5 + 5*f**3 = 0?
-6, 0, 1
Factor -942*h - 147/2*h**2 + 240 + 6*h**3.
3*(h - 20)*(h + 8)*(4*h - 1)/2
Let j be ((-4)/(-10))/2 + (-1568)/(-35). Factor -66 + 133 + j*g - 67 - 5*g**2.
-5*g*(g - 9)
Let a(i) = 29*i + 235. Let n be a(-8). Solve 37*r**4 + 3*r**n - 37*r**4 - 4*r**5 + r**3 + 3*r**5 = 0.
-2, 0, 2
Factor 24*w - 7/2*w**3 + 4*w**2 + 0 + 1/4*w**4.
w*(w - 12)*(w - 4)*(w + 2)/4
Factor 0*n + 1/4*n**4 - 11/2*n**2 + 21/4*n**3 + 0.
n**2*(n - 1)*(n + 22)/4
Suppose 10 = -5*x, -130 = -n - 7*x + 3*x. Solve -7*w - 156*w**3 + n*w**3 - 3 - 22*w**2 - w**5 - 7*w**4 - 6*w = 0 for w.
-3, -1
Let j(s) be the third derivative of s**6/600 + 19*s**5/300 + s**4/2 - 1215*s**2. Factor j(f).
f*(f + 4)*(f + 15)/5
Let p(r) be the third derivative of r**6/200 + 709*r**5/50 + 502681*r**4/40 + 4597*r**2. Factor p(c).
3*c*(c + 709)**2/5
Suppose 4*z = -2*b + 790, 4*z = -b + 387 + 402. Let f = -305 - -512. Factor 15 - 2*r**2 + z*r + 0*r**2 - f*r - 3*r**2.
-5*(r - 1)*(r + 3)
Factor -d**3 + 145399*d**2 - 10 + 10 - 145126*d**2.
-d**2*(d - 273)
Determine t, given that 54 - 57/2*t + 3/4*t**2 = 0.
2, 36
Let b = -21 + 21. Suppose -4*r - 3*g = -17, 5*r - g = 7 - b. Factor 10*n**4 + 9*n**4 + 9*n**4 - 26*n**4 + 32 - 48*n + 12*n**3 + r*n**2.
2*(n - 1)**2*(n + 4)**2
Factor 142/7 + 2/7*h**2 + 144/7*h.
2*(h + 1)*(h + 71)/7
Let k(g) = -10*g**2 - 10*g + 60. Let x(v) = 18*v**2 + 22*v - 116. Let i(n) = 7*k(n) + 4*x(n). Suppose i(z) = 0. What is z?
-11, 2
Let o(w) be the third derivative of 29*w**6/42 - 146*w**5/35 + 299*w**4/42 - 4*w**3/7 + 1265*w**2. Let o(r) = 0. What is r?
3/145, 1, 2
Let h(v) be the third derivative of -v**8/840 + 2*v**7/75 - 23*v**6/300 - 7*v**5/75 + 2*v**4/5 + 370*v**2. Determine w so that h(w) = 0.
-1, 0, 1, 2, 12
Let w be 4/7 + (-4216)/(-217). Let l be (-57)/(-95) - (-2 + 2/w). Let 5*n**4 + l*n + 25/2*n**3 + 0 + 10*n**2 = 0. What is n?
-1, -1/2, 0
Let z(t) = -5*t**2 - 19*t + 24 - 45 + 23. Let q(s) = -6*s**2 - 17*s + 1. Let d(b) = -4*q(b) + 3*z(b). Solve d(k) = 0 for k.
-1, -2/9
Let m be 24/64 + 52/32. Solve -168*d**m - 4*d**4 + 1342*d - 1086*d - 10 + 44*d**3 - 118 = 0 for d.
1, 2, 4
Let d(p) be the second derivative of p**4/24 + p**3/4 - 5*p**2/2 - 932*p. Factor d(a).
(a - 2)*(a + 5)/2
Let s be 0 + (-14200724)/18 - (-18)/(-81). Let t = s - -805596. Factor t*y + 1000/3*y**3 + 1/3*y**5 - 10000/3*y**2 - 50/3*y**4 - 100000/3.
(y - 10)**5/3
Suppose 4*h - 12 = -4*v, 27*v - 23*v - 18 = -h. Let y(r) be the first derivative of 0*r**3 + 2/5*r**v + 11 + 0*r**2 + 0*r**4 + 0*r. Factor y(t).
2*t**4
Let a be (-48)/(-60) + (-652)/15*2. Let y = 259/3 + a. Solve -y*t**2 - 1/5*t**3 + 0*t + 0 = 0.
-1, 0
Let q(p) be the third derivative of p**7/105 + 23*p**6/60 + 38*p**5/15 - 21*p**4 + 7749*p**2. Solve q(a) = 0 for a.
-18, -7, 0, 2
Let n(k) be the first derivative of 4/9*k**3 - 25 + 2/15*k**5 + 0*k + 1/2*k**4 + 0*k**2. Let n(b) = 0. What is b?
-2, -1, 0
Let u(n) = -n**2 - n + 12. Let d(c) = 40*c**2 + 12*c - 268. Let p(f) = d(f) + 20*u(f). Solve p(t) = 0 for t.
-1, 7/5
Suppose -34*f = -33*f + 5, f = -4*x + 31. Let g be (x/63)/((-3)/(-14)). Factor 0*n**3 + 4/3*n**4 + 2/3*n**5 + 0 - g*n - 4/3*n**2.
2*n*(n - 1)*(n + 1)**3/3
Let d(m) be the first derivative of m**4/4 - m**3/3 - 2*m + 125. Let w(l) = -6*l**3 - 368*l**2 - 23064*l - 476648. Let f(x) = -4*d(x) - w(x). Factor f(r).
2*(r + 62)**3
Factor -18*v**4 - 4768*v + 25*v**4 + 4848*v - 316*v**2 + 110*v**3 + 14*v**3.
v*(v - 2)*(v + 20)*(7*v - 2)
Let d be (0 - -10)/(1*1/(-2)). Let j be (-1 + -2)/(5/d). Suppose -2*o - 4*o + j*o**2 - 9*o**2 = 0. Calculate o.
0, 2
Factor -9*b**4 - 68*b**2 - 71*b**2 + 123*b**2 - 80*b**3 - 91*b**4.
-4*b**2*(5*b + 2)**2
Let f(u) = -92*u - 95. Let j(d) = -d**2 + 138*d + 141. Let c(o) = -7*f(o) - 5*j(o). Factor c(p).
(p - 10)*(5*p + 4)
Solve 562/3*s - 1715/6*s**2 - 2/3*s**5 + 475/3*s**3 - 167/6*s**4 - 94/3 = 0.
-47, 1/4, 1, 2
Let m be (-2)/7 + 2/(56/428). Let f be (-1*1)/((-57)/m + 4). Let k(a) = 4*a**2 - 8*a + 4. Let n(y) = 2*y**2 - 4*y + 2. Let h(i) = f*n(i) + 2*k(i). Factor h(b).
-2*(b - 1)**2
Suppose 5*v + 24*y - 25*y = 11, 2*v + 4*y = 22. Find w such that -171/7*w**2 - 67/7*w**v - 1/7*w**5 - 13/7*w**4 - 216/7*w - 108/7 = 0.
-3, -2
Suppose 8738*j**5 + 497*j**4 - 8739*j**5 - 4*j**2 - 502*j**4 - 8*j**3 = 0. What is j?
-2, -1, 0
Let i(m) = 12*m**2 - 183*m - 357. Let u be i(17). Factor u*x**2 - 2/11*x**4 + 0 + 0*x + 2/11*x**3.
-2*x**3*(x - 1)/11
Let p(i) be the second derivative of i**5/230 + 37*i**4/69 - 229*i**3/69 + 154*i**2/23 + 2*i + 17. Suppose p(o) = 0. Calculate o.
-77, 1, 2
Let c be 7100/213*(-3 + (1 - 1)). Let o = -90 - c. Determine y so that -y**3 + 8*y**2 - o*y**4 + 0*y**3 + 8*y + y**5 - 5*y**5 + 2 - 3*y**3 = 0.
-1, -1/2, 1
Find i, given that 4/3*i**3 - 56 - 160/3*i**2 - 332/3*i = 0.
-1, 42
Let a(k) be the first derivative of 4*k**5/25 - 18*k**4/5 + 20*k**3/3 + 216*k**2/5 + 256*k/5 - 3086. Determine x, given that a(x) = 0.
-1, 4, 16
Let y(z) be the first derivative of -4*z**3 + 32*z**2 - 256/3*z + 1/6*z**4 - 70. Determine m, given that y(m) = 0.
2, 8
Let d(c) = -25*c**2 - 485*c + 500. Let i(w) = 8*w**2 + 162*w - 167. Let p(m) = 3*d(m) + 10*i(m). Let p(h) = 0. Calculate h.
-34, 1
Determine f, given that 2264/3*f + 232/3*f**3 + 340 + 4/3*f**4 + 1472/3*f**2 = 0.
-51, -5, -1
Let n(h) = -3*h**2 - 85*h - 312. Let t be n(-24). Let d(m) be the second derivative of -15/4*m**2 + t + 21*m + 1/16*m**4 - 3/8*m**3. Factor d(w).
3*(w - 5)*(w + 2)/4
Let b(c) = 7*c**3 + 3*c**2 + 13*c + 22. Let j be b(-4). Let x = j - -433. Factor 2/7*s**x + 10/7*s**2 - 12/7*s + 0.
2*s*(s - 1)*(s + 6)/7
Let l be -4 - (-7 - 1)*((-185)/10)/(-37). Determine r so that -1/3*r**2 - 2/3*r