Suppose 39 = -5*v + 2*k, 0 = -4*k + 8. Let b = 10 + v. Factor -3*t**4 + 0*t**4 - 2*t**2 - 2*t**5 - 4*t**3 - 3*t**4 - 2*t**b.
-2*t**2*(t + 1)**3
Let i = -9/7801 - -39068/54607. Factor -4/7*x**3 - 2/7*x - i*x**2 + 0 - 1/7*x**4.
-x*(x + 1)**2*(x + 2)/7
Let v(c) be the first derivative of 0*c + 12 + 1/5*c**5 + c**2 - 1/3*c**3 - 1/2*c**4. Factor v(s).
s*(s - 2)*(s - 1)*(s + 1)
Let c = -198 - -986/5. Let g = 6/5 + c. Suppose 4/5*d**2 - 2/5*d**3 - 4/5 + g*d = 0. What is d?
-1, 1, 2
Let o = -188 + 197. Let w be 5 + 2 - (-4 + o). Factor -8/11*v + 2/11*v**w + 0.
2*v*(v - 4)/11
Factor 3*d**5 - 3*d**3 - 15*d**4 - 3*d**2 - 15*d**4 + 47*d**4 - 14*d**4.
3*d**2*(d - 1)*(d + 1)**2
Let w(c) be the first derivative of c**4/44 + 4*c**3/11 + 45*c**2/22 + 50*c/11 - 5. Factor w(a).
(a + 2)*(a + 5)**2/11
Factor -3*y + 3/2*y**2 + 3/2.
3*(y - 1)**2/2
Suppose -1323*w**3 + 1944*w**5 + 1515*w**4 - 1263*w**2 + 1954*w**5 - 3823*w**5 - 252 + 1248*w = 0. What is w?
-21, -1, 2/5, 1
Let s(c) be the first derivative of 2*c**3/9 - 3*c**2 - 533. Factor s(v).
2*v*(v - 9)/3
Let o = 86/5 - 522/35. Find c such that o*c - 5/7 - 3/7*c**2 = 0.
1/3, 5
Let q be 16/(-20) - 38/(-15). Let n = q + -4/3. Suppose 2/5*w**3 + 0 - n*w**2 + 0*w = 0. What is w?
0, 1
Let v(k) be the third derivative of 0 - 1/24*k**3 + 2*k**2 + 1/32*k**4 + 1/480*k**6 - 1/80*k**5 + 0*k. Find b such that v(b) = 0.
1
Factor -99/2*q**3 + 4500 + 585*q**2 + 3/2*q**4 - 2850*q.
3*(q - 10)**3*(q - 3)/2
Let 2/3*w**2 + 10/9 - 2/9*w**3 + 2*w = 0. Calculate w.
-1, 5
Suppose 2*v - 7 = 1. Let a(f) be the first derivative of 0*f**3 + 0*f**2 + 0*f + 3/4*f**v + 1/6*f**6 - 3 - 4/5*f**5. Determine p so that a(p) = 0.
0, 1, 3
Determine o, given that -7/2*o - 1/4*o**2 - 49/4 = 0.
-7
Let o(k) be the third derivative of -k**5/60 - 29*k**4/24 + 5*k**3 + 6*k**2 + 28. Suppose o(r) = 0. What is r?
-30, 1
Factor 4*l**2 + 8*l**2 - 18*l**2 + 7*l**2.
l**2
Let g be 196/63 + 1/(-9). Suppose 0*r - 29 = -4*z + r, g*z - r - 23 = 0. Factor -18 - 3*d**3 - z*d + 9*d**2 + 18.
-3*d*(d - 2)*(d - 1)
Suppose -3*p - 29 + 56 = 0. Factor -6*u + 4*u**2 - p*u + 13*u.
2*u*(2*u - 1)
Let f(m) = m**4 + 16*m**3 + 14*m**2 - 2*m + 2. Let q(h) = -2*h**4 - h**2 + h - 1. Let l(z) = f(z) + 2*q(z). Factor l(c).
-c**2*(c - 6)*(3*c + 2)
Let h(b) be the third derivative of -7/60*b**5 + 0 + 0*b - 1/168*b**8 + 1/3*b**3 - 31*b**2 + 1/24*b**4 + 1/42*b**7 + 1/120*b**6. Find x such that h(x) = 0.
-1, -1/2, 1, 2
Let v(t) be the first derivative of 2*t**3/3 + 10*t**2 - 22*t - 992. Factor v(q).
2*(q - 1)*(q + 11)
Let x be (5/(-6))/((-4)/24). Suppose -25*u**5 + 39*u**x - 24*u**4 - 18*u**5 - 48*u**3 - 40*u**2 - 12*u = 0. Calculate u.
-3, -1, 0
Let m be ((-14)/168)/((-5)/30). Solve 0*c + 0 + 0*c**3 + m*c**5 + 0*c**2 - 1/2*c**4 = 0 for c.
0, 1
Let c(r) = 5*r**5 + r**4 + 10*r**3 - 8*r**2 - 4*r. Let h(f) = -6*f**5 - 11*f**3 + 9*f**2 + 3*f. Let q(m) = -5*c(m) - 4*h(m). Solve q(l) = 0.
-2, 0, 1
Let k be 2 + -1 + -71 + 74. Let r(u) be the third derivative of 2/105*u**7 + 0 + 0*u**3 - 11*u**2 + 0*u**k + 1/15*u**5 - 1/15*u**6 + 0*u. Factor r(l).
4*l**2*(l - 1)**2
Find o such that 10*o**3 - 145*o**2 + 9*o + 20 + 23*o + 5*o**4 + 28*o + 210*o**2 + 20*o**3 = 0.
-2, -1
Let k be (14 + 4)/1*-1 + 0. Let p be ((-4)/(-2))/2 + 10/k. Let 2/9*y**2 + p + 2/3*y = 0. Calculate y.
-2, -1
Let d = -2/8817 + 76420/26451. Suppose d*r**3 + 4/9*r**2 + 0 + 2*r**5 + 16/3*r**4 + 0*r = 0. Calculate r.
-2, -1/3, 0
Let m = 23276 - 46525/2. Factor 1/2*f**3 - m + 27/2*f - 9/2*f**2.
(f - 3)**3/2
Suppose 2*g - 561 = -5*c, -4*c = -2*c + 4*g - 234. Suppose -5 = c*p - 112*p. Factor -3/2*z**p + 0 - 9/2*z**3 + 0*z + 3/2*z**2 + 9/2*z**4.
-3*z**2*(z - 1)**3/2
Let t(q) be the third derivative of 0*q - 9/32*q**4 + 6*q**2 + 0 + 1/160*q**5 + 81/16*q**3. Factor t(y).
3*(y - 9)**2/8
Let y be 1 - 28/8*18/126. Factor 7/2*v**2 - 2*v**3 - y - v.
-(v - 1)**2*(4*v + 1)/2
Let l(q) be the second derivative of -3*q**5/20 + 12*q**4 + 49*q**3/2 - 107*q. What is v in l(v) = 0?
-1, 0, 49
Let y(o) be the third derivative of -o**5/20 + 27*o**4 - 5832*o**3 - 231*o**2. Determine k, given that y(k) = 0.
108
Let l be (-2 + -1)/((-21)/14). Determine i so that 6*i**2 + 55*i - 51*i - 2*i**l = 0.
-1, 0
Let d(n) be the third derivative of n**5/30 - 7*n**4/2 - 88*n**3/3 + 369*n**2. Let d(f) = 0. What is f?
-2, 44
Suppose 5*a + 5 = -v, 30*v - 31*v = a + 5. Let p(n) be the third derivative of -2*n**2 + 1/8*n**4 + a + 1/60*n**5 + 0*n + 0*n**3. Let p(g) = 0. What is g?
-3, 0
Find f, given that 0 + 252/11*f - 2/11*f**2 = 0.
0, 126
Let x be 6/2*(50/15 + -2). Let 5*i**2 + 12*i**4 + 15*i**3 + 2*i**x - 4*i**4 = 0. Calculate i.
-1, -1/2, 0
Suppose 82*d - 81*d = 12. Let -b**3 + 3*b**4 - b**3 + 6*b**2 - d*b**2 - b**3 = 0. What is b?
-1, 0, 2
Let w(a) = -327*a - 3 + 4 + 321*a + 2 - a**2. Let i be w(-6). Find m, given that -3*m - i*m**3 - 9/2*m**2 - 3/4 - 3/4*m**4 = 0.
-1
Let n = 96940/33 + -2937. Let z = 10/11 - n. Determine t so that 1/3*t**5 + z*t**2 + 0 - 1/3*t**3 + 0*t - 1/3*t**4 = 0.
-1, 0, 1
Let v be (-4)/(-14) - 57/(-21). Let f be ((-4)/8)/((-1)/10) - (-20)/(-36). Factor -14/9*q**v - f*q - 46/9*q**2 - 8/9.
-2*(q + 1)*(q + 2)*(7*q + 2)/9
Let c(d) = -2 - 12*d**3 - 3 + 8*d - 9*d**2 + 25*d**3 - 7*d**2. Let t(l) = -20*l**3 + 24*l**2 - 12*l + 8. Let o(z) = -8*c(z) - 5*t(z). Factor o(a).
-4*a*(a - 1)**2
Suppose 0 = -26465*a + 26472*a - 14. Solve -1/2*n + 0 + 7/4*n**a - 5/4*n**3 = 0 for n.
0, 2/5, 1
Suppose -8*x + 38*x = -67*x + 7*x. Suppose 0*n**2 - 2/11*n**4 + 0*n - 2/11*n**3 + x = 0. Calculate n.
-1, 0
Let a = -21/26 + 4/13. Let r = -3/14 - a. Factor -2/7*k**3 + 2/7*k**2 - 2/7 + r*k.
-2*(k - 1)**2*(k + 1)/7
Suppose 6094*v - 6079*v = 75. Determine g so that 0 + 3/5*g**2 + 0*g + 1/5*g**3 - 3/5*g**4 - 1/5*g**v = 0.
-3, -1, 0, 1
Factor -174*r**2 - 14641 - 518*r**2 - 4553*r + 44*r**3 + 9877*r - r**4 - 34*r**2.
-(r - 11)**4
Find z such that 160/9*z - 128/9*z**2 - 50/9 = 0.
5/8
Suppose -2*p - 20 = -4*q, p = 6*p + 2*q + 38. Let s be (p/20)/((-12)/15). Suppose -1/2*z**4 + 0 - 3/2*z**2 - 3/2*z**3 - s*z = 0. What is z?
-1, 0
Let l(s) be the first derivative of s**6/12 + 13*s**5 + 725*s**4 + 15960*s**3 + 79380*s**2 + 148176*s - 324. What is f in l(f) = 0?
-42, -2
Let v(k) be the second derivative of k**6/18 - 35*k**4/36 + 5*k**3/3 + 5*k - 38. Suppose v(n) = 0. What is n?
-3, 0, 1, 2
Suppose 26*m + 5 = 83. Let u(z) be the second derivative of 1/8*z**5 - 1/3*z**m - 4*z - 1/3*z**4 + 0 + 0*z**2. Find h such that u(h) = 0.
-2/5, 0, 2
Let u(h) = h**3 + 5*h**2 - 17*h + 7. Let r(d) = -6*d**3 - 28*d**2 + 100*d - 40. Let k(w) = 6*r(w) + 39*u(w). Factor k(l).
3*(l - 1)**2*(l + 11)
Factor -11/10*t**2 - 1/10*t**3 - 14/5 - 16/5*t.
-(t + 2)**2*(t + 7)/10
Let u = 105 - 102. Factor 0 + 6 - 6*h + u*h**2 + 15*h.
3*(h + 1)*(h + 2)
Let u(t) be the second derivative of 0 + 7/3*t**3 - 6*t + 1/6*t**4 - 8*t**2. Let y(l) = -l + 1. Let v(d) = -2*u(d) - 28*y(d). Find w, given that v(w) = 0.
-1, 1
Suppose 4 = -4*u + i + 13, i = 3*u - 7. Suppose -5*j**3 + 24*j**5 + 0*j**3 + 19*j**4 - 34*j**5 - j**3 - 5*j**u + 2*j = 0. Calculate j.
-1/2, 0, 2/5, 1
Solve -104/15*c**2 - 6/5*c**4 - 44/15*c - 28/5*c**3 - 2/5 = 0 for c.
-3, -1, -1/3
Let a be (-8)/(-164) + 3190/(-73800). Let q(o) be the third derivative of 0*o - 1/72*o**4 - a*o**5 + 0 + 6*o**2 + 0*o**3. Determine y, given that q(y) = 0.
-1, 0
Let z(n) = n**3 + 4*n**2 - 6*n - 4. Let b be z(-5). Let g be b/(16/(-6) - -3). Let 2/7*k + 0 + 0*k**2 - 2/7*k**g = 0. Calculate k.
-1, 0, 1
Find v, given that -2/5 + 8/5*v**3 - 8/5*v - 6/5*v**2 + 8/5*v**4 = 0.
-1, -1/2, 1
Solve -4*w**3 - 24*w - 6*w**2 - 23*w**2 - 436137*w**4 + 436138*w**4 = 0 for w.
-3, -1, 0, 8
Let c(q) be the second derivative of -49*q**5/60 - 35*q**4/18 + 26*q**3/9 - 4*q**2/3 - q - 60. Determine u, given that c(u) = 0.
-2, 2/7
Let w(a) = -a**3 - 6*a**2 - 2*a - 8. Let x be w(-6). Solve -u**4 - u**4 - 9*u + 2*u**2 + 9*u**3 + 6 - 5*u**2 - u**x = 0 for u.
-1, 1, 2
Let a(n) be the second derivative of 7/20*n**5 + 2*n**2 + 10*n + 13/6*n**3 + 1/30*n**6 + 5/4*n**4 + 0. Find y such that a(y) = 0.
-4, -1
Suppose 0 = 2*o + q - 349, 6*o - 8*o + 2*q = -358. Let y = 176 - o. Factor -2/7*p**2 - 1/7*p**3 + 0 + y*p.
-p**2*(p + 2)/7
Suppose 5*b - 30 = -5*b. Let s be 2/(-42)*b*-1. Factor 2/7*h**3 - 2/7*h**2 - s*h**5 + 1/7 + 1/7*h**4 - 1