/40 + 7*t**5/5 - 25*t**4/8 - 27*t**3 - 1527*t**2. Let d(a) = 0. What is a?
-1, 2, 27
Let o(y) = 3*y**2 + y. Let a(l) = -l**3 - 14*l**2 - 4*l - 1. Let d = 513 + -514. Let z(v) = d*a(v) - 5*o(v). Factor z(i).
(i - 1)**2*(i + 1)
Let m(j) be the first derivative of 3*j**5/5 + 3213*j**4/2 + 1149181*j**3 + 3437910*j**2 + 3434700*j - 3273. Find w such that m(w) = 0.
-1070, -1
Let y = 3825721/1700324 + 2/425081. Let -3/4*b**3 + 0*b**2 + y*b - 3/2 = 0. What is b?
-2, 1
Let g(r) be the second derivative of r**4/60 - 47*r**3/30 + 231*r**2/5 - 7563*r. Factor g(v).
(v - 33)*(v - 14)/5
Let x(u) = 15*u**2 - 36*u - 51. Let y(j) = -j + 12. Let g be y(-4). Let r(d) = 3*d**2 + 6 - 142*d + 135*d - g. Let o(i) = 21*r(i) - 4*x(i). Factor o(z).
3*(z - 2)*(z + 1)
Let h(x) = 29*x + 3*x**2 + 26*x - 57*x. Let w(f) = -10*f**2 + 8*f. Let m(c) = c. Let v(p) = -3*m(p) + w(p). Let d(l) = 7*h(l) + 2*v(l). Factor d(j).
j*(j - 4)
Let b(i) = -i**3 - 2*i**2 - i + 5. Let c be b(0). Factor -2*s**3 + 0*s**2 - 16*s**c - 2*s**3 - 4*s**3 - 4*s**2 + 28*s**4.
-4*s**2*(s - 1)**2*(4*s + 1)
Let w(p) = 14*p**5 - 351*p**4 + 493*p**3 - 120*p**2 - 38*p - 4. Let i(c) = 2*c**5 - 2*c**2 + c + 2. Let q(t) = 2*i(t) + w(t). Suppose q(d) = 0. What is d?
-1/6, 0, 2/3, 1, 18
Let x be 560/(-8) - (-203308)/822. Find i such that -x*i**2 - 16/9 + 104/3*i + 722/9*i**3 = 0.
2/19, 2
Let p(d) be the first derivative of d**6/3 + 28*d**5/5 + 5*d**4 - 88*d**3/3 - 67*d**2 - 52*d - 145. Find a such that p(a) = 0.
-13, -1, 2
Suppose -2*a + 6 = a. Let r be 84/336*(-3638)/(-68) + (-3)/(6/20). Suppose r*m**a + 51/8*m - 3/4 = 0. Calculate m.
-2, 1/9
Let h be (-7)/(140/(-72)) + (-82)/(-205). Let b(f) be the second derivative of 0*f**3 - 24*f - 27/20*f**5 + 0 + 0*f**2 - 1/2*f**h. Solve b(z) = 0.
-2/9, 0
Let c(o) be the first derivative of -2*o**3/21 + 107*o**2/7 + 888*o/7 + 811. Determine j, given that c(j) = 0.
-4, 111
Let n be (1/(-26))/((-2992)/2210 - (-60)/50). Suppose 9/4 - 2*d**2 + 3/2*d**3 - n*d**4 - 3/2*d = 0. Calculate d.
-1, 1, 3
Let g(t) be the first derivative of -59 - 5/6*t**2 + 5/24*t**4 + 0*t + 5/18*t**3. Factor g(r).
5*r*(r - 1)*(r + 2)/6
Let m = -54147/1364 + 4945/124. Let -4/11*g**4 - m*g**5 - 8/11*g + 8/11*g**2 + 6/11*g**3 + 0 = 0. Calculate g.
-2, 0, 1
Let b = 28 - 12. Suppose -o + 2*s + b = 0, -4*o - 4*s + 0 + 4 = 0. Factor o + 149*h**2 - 4*h - 2 - 148*h**2.
(h - 2)**2
Let h(o) = 27*o**3 - 110*o**2 + 20*o - 44. Let u be h(4). What is n in -4/19*n**2 + 6/19*n**u + 0*n + 4/19*n**5 + 0 - 6/19*n**3 = 0?
-2, -1/2, 0, 1
Let u(j) = -3*j**2 + 189*j - 118. Let q(d) = 5*d**2 - 375*d + 251. Let w(b) = -4*q(b) - 7*u(b). Determine l so that w(l) = 0.
-178, 1
Let x(w) be the second derivative of -39*w + 3/20*w**5 + 2 - 5/2*w**3 + 9/2*w**2 + 1/4*w**4. Factor x(u).
3*(u - 1)**2*(u + 3)
Suppose 15*q + 2404 = 1223 + 1211. Factor -24/11*b + 14/11*b**q - 8/11.
2*(b - 2)*(7*b + 2)/11
Let v = 73 + -62. Suppose -3 - v = -7*m. Factor 35*z**3 - 14*z - 3 - 17 - 25*z**m - 66*z.
5*(z - 2)*(z + 1)*(7*z + 2)
Suppose -25*a + 70 = -80. Suppose -5*r + r = a*r. Find z such that -3/5*z**2 + 3/5*z + r = 0.
0, 1
Let o(h) be the first derivative of 8*h**3/3 - 79*h**2/10 + 24*h/5 + 626. Suppose o(g) = 0. Calculate g.
3/8, 8/5
Suppose 5*c - 9 - 5 = 4*n, 3*n = 2*c - 7. Find k, given that 4*k**2 - k**2 + 2*k**2 + 6*k + c*k - 4*k**2 = 0.
-8, 0
Let k be 9 - -1 - (14 - ((-1)/(-19) + 21442/2698)). Solve 7/5*t + 2 - 9/5*t**2 - 7/5*t**3 - 1/5*t**k = 0.
-5, -2, -1, 1
Let t(x) = x**3 - 12*x**2 + 28*x - 7. Let z be (-6 - -3) + 5 - (-10 + 3). Let v be t(z). Factor -2/3*y + 2/3*y**3 - v + 2*y**2.
2*(y - 1)*(y + 1)*(y + 3)/3
Suppose -5 + 17 = -6*s. Let v be 88/40 + s/10. Find r, given that 18*r - 19*r**4 + 3*r**2 - 63*r**3 - r**5 + 2*r**3 + 30*r**3 - v*r**5 = 0.
-3, -1, 0, 2/3
Let q(u) be the third derivative of u**5/80 - 605*u**4/16 + 2*u**2 + 3694*u. Determine m, given that q(m) = 0.
0, 1210
Let j = -57924/29 - -521722/261. Let j*a**3 - 32/9*a - 2/9*a**4 - 16/9*a**2 + 0 = 0. Calculate a.
-1, 0, 4
Let s be (91 - (59 + 48)) + (1 - -17). Find n, given that -2/11*n**s + 20/11 + 18/11*n = 0.
-1, 10
Let p be 13 - 5*504/200. Let w(a) be the first derivative of -p*a**4 - 2/15*a**6 - 7 + 0*a**2 + 0*a - 2/5*a**5 - 2/15*a**3. Solve w(i) = 0 for i.
-1, -1/2, 0
Let b(s) be the third derivative of -s**6/300 + 3*s**5/10 + 97*s**4/60 - 47*s**3/5 - 2*s**2 + 336*s + 1. Factor b(h).
-2*(h - 47)*(h - 1)*(h + 3)/5
Let r be (-129 - -123) + ((-138)/(-15) + 1 - (-8)/10). What is n in 24520/7*n**2 - 2322*n + 788/7*n**4 + 2916/7 - 1708*n**3 - 2*n**r = 0?
2/7, 1, 27
Let g(w) = -13*w**2 + 4133*w - 4039. Let k(s) = -14*s**2 + 4134*s - 4030. Let j(i) = -10*g(i) + 9*k(i). Determine p, given that j(p) = 0.
1, 1030
Let a(q) be the first derivative of -q**6/72 + 15*q**5/4 - 3375*q**4/8 + q**3/3 + 17*q - 127. Let y(h) be the third derivative of a(h). Factor y(k).
-5*(k - 45)**2
Suppose 127*r - 131*r + 5000 = 0. Let n = r - 1248. Factor 0*s + 2/3*s**n - 8/3.
2*(s - 2)*(s + 2)/3
Let z(d) be the second derivative of -d**4/72 - 247*d**3/36 - 245*d**2/6 + 1804*d. Factor z(x).
-(x + 2)*(x + 245)/6
Suppose 0 = -24*d + 258*d + 387 - 387. Solve 0*t - 4/3*t**4 - 4*t**3 - 8/3*t**2 + d = 0 for t.
-2, -1, 0
Factor 577 + 1212*x - 2341 + 960*x**3 - 1908*x**3 - 171*x**2 + 951*x**3.
3*(x - 49)*(x - 6)*(x - 2)
Suppose 105*i = -2*f + 110*i - 56, f + 4*i - 50 = 0. Find u such that -106/3*u - 18 + 4/3*u**f = 0.
-1/2, 27
Let v(w) be the third derivative of w**8/672 + w**7/10 + w**6/2 + 59*w**5/60 + 13*w**4/16 - w**2 + 1189*w. Factor v(u).
u*(u + 1)**3*(u + 39)/2
What is b in 9/4*b**5 + 12*b**4 - 15/2*b**2 - 69/4*b + 15*b**3 - 9/2 = 0?
-3, -2, -1, -1/3, 1
Let k(i) = 17*i**3 - 14*i + 12*i**2 + 0*i - 30 - 14*i**3. Let b(q) = q**3 + 4*q**2 - 5*q - 10. Let p(n) = 21*b(n) - 6*k(n). Determine u, given that p(u) = 0.
-5, -1, 2
Let y(u) be the third derivative of u**5/120 + 163*u**4/12 + 26569*u**3/3 - 12*u**2 - 66*u. Factor y(f).
(f + 326)**2/2
Let z(o) be the second derivative of -19/24*o**4 - 15*o**2 + 0 + 1/40*o**5 - 87*o + 16/3*o**3. Factor z(i).
(i - 15)*(i - 2)**2/2
Factor 39/4*p**3 + 317/4*p**2 + 1/4*p**4 - 1239/4*p + 441/2.
(p - 2)*(p - 1)*(p + 21)**2/4
Suppose g = 3*p - 15, -g - 10 = -2*p + 3*g. Factor 344*c**3 - 340*c**3 + c - p*c + 4*c**4 - 4*c**2.
4*c*(c - 1)*(c + 1)**2
Let u(t) be the third derivative of 0*t**3 - 4*t**2 + 20/21*t**8 + 0 + 99/8*t**6 + 8*t**7 + 135/8*t**4 - 63/2*t**5 + 12*t. Factor u(r).
5*r*(r + 3)**2*(8*r - 3)**2
Let h(i) be the second derivative of i**7/294 - 2*i**6/35 - i**5/2 + 5*i**4/7 + 183*i**3/14 + 216*i**2/7 - 75*i. What is o in h(o) = 0?
-3, -1, 3, 16
Let m be 15 + (-70)/7 + 10/(-2). Let h(n) be the first derivative of m*n + 0*n**2 + 5/6*n**6 + 5/3*n**3 + 15/4*n**4 + 3*n**5 - 16. Factor h(y).
5*y**2*(y + 1)**3
Let b(j) = j**3 + 7*j**2 - 31*j - 8. Let n be b(-10). Suppose 943*w + 1574*w**2 + 405*w**5 + 3946*w**n + 5960*w**3 + 160 + 2610*w**4 + 737*w = 0. Calculate w.
-2, -2/9
Suppose 4*x - 44 = 3*p, 0 = -4*x - 502*p + 507*p + 68. Factor -1/2*t**4 + 3/2*t + 5/2*t**x - 3/2*t**3 - 2.
-(t - 1)**2*(t + 1)*(t + 4)/2
Let f(s) = -9. Let l(j) = -5*j**3 - 1070*j**2 - 58300*j - 112414. Let c(y) = -6*f(y) + l(y). Let c(q) = 0. What is q?
-106, -2
Factor 2/3*d**3 + 0 + 766/3*d**2 + 508*d.
2*d*(d + 2)*(d + 381)/3
Suppose -38*r**4 + 0 - 29*r**3 + 0 + 811*r**4 - 738*r**4 - 6*r**2 = 0. What is r?
-6/35, 0, 1
Let j(d) = -15*d**4 - 299*d**3 - 953*d**2 - 893*d + 77. Let o(n) = -10*n**4 - 200*n**3 - 635*n**2 - 595*n + 55. Let y(w) = 5*j(w) - 7*o(w). Factor y(z).
-5*z*(z + 2)**2*(z + 15)
Let j = -3 + 6. Suppose -45*p + 12 = -42*p. Determine g so that 3*g - 4*g + p*g**4 + 9*g + 16*g**j + 20*g**2 + 0*g = 0.
-2, -1, 0
Let j be ((-33)/(660/40))/(1 - 9/6). Solve -1/2*r**2 + 1/2*r**5 + r + 1/2*r**j - 3/2*r**3 + 0 = 0.
-2, -1, 0, 1
Let y(x) be the second derivative of -5/12*x**3 + 1/24*x**4 + 3*x + x**2 + 25. Factor y(r).
(r - 4)*(r - 1)/2
Factor 0*c - 14/3*c**4 + 0 - 34/3*c**3 + 2/3*c**5 - 6*c**2.
2*c**2*(c - 9)*(c + 1)**2/3
Suppose g + 5072 = 5076. Let p(j) be the second derivative of 11*j + 0 + 1/3*j**g + 0*j**3 - 8*j**2. Factor p(y).
4*(y - 2)*(y + 2)
Let q = 21390/13 + -106937/65. Let b(a) be the first derivative of -23 + 2/15*a**3 - q*a**2 + 0*a. Let b(x) = 0. What is x?
0, 1
Suppose -132119*j**4 