. Solve -v*h**4 - 1/4*h**3 + 1/8*h - 5/2 + 1/8*h**5 + 5*h**2 = 0.
-1, 1, 20
Let i(t) be the first derivative of -t**4/6 - 9*t**3 - 26*t**2 + 171*t - 120. Let j(o) be the first derivative of i(o). Suppose j(u) = 0. Calculate u.
-26, -1
Let b(c) = c**2 + 4*c + 2. Let o be b(-1). Let s be o/(-10)*(1 - -3). Determine h so that 0*h + 2/5*h**5 - s*h**2 + 0 + 2/5*h**4 - 2/5*h**3 = 0.
-1, 0, 1
Let v be ((0 - -6) + (-12)/8)*1/6. Let q(j) be the first derivative of -2/3*j**3 - 1/5*j**5 + 0*j**2 + 0*j - v*j**4 - 10. Determine x, given that q(x) = 0.
-2, -1, 0
Let j(n) be the third derivative of 5*n**7/231 - 59*n**6/33 - 727*n**5/110 - 293*n**4/33 - 196*n**3/33 - 2*n**2 + 1006. Solve j(h) = 0 for h.
-1, -2/5, 49
Let d(s) be the first derivative of s**7/7980 - s**5/1140 + s**3/3 + 49*s + 92. Let w(o) be the third derivative of d(o). Suppose w(f) = 0. Calculate f.
-1, 0, 1
Suppose 5*o + 0*h = 2*h + 33, -5*o = -4*h - 31. Let y be 23/o + 4/(-14). Factor -z**y - 4*z**2 + 65 + z + 10*z - 34 - 37.
-(z - 1)**2*(z + 6)
Let o = -89 - -92. Determine u so that -49*u**o - 6 + 6 + 12*u**4 + 31*u**3 + 2*u**5 - 28*u**2 = 0.
-7, -1, 0, 2
Suppose 3*a - 2*r = 11 + 22, 2*r - 22 = -2*a. Let l be (a + -7)/(8/6). Find i such that -2/3*i**2 + 0 - 2/3*i**l + 0*i = 0.
-1, 0
Suppose 124/11*g - 6/11*g**2 + 16 = 0. Calculate g.
-4/3, 22
Let g = -1892 + 1895. Let m(n) be the first derivative of 4/5*n**5 + 0*n - n**4 + 4 + 2/3*n**6 + 0*n**2 - 4/3*n**g. Factor m(t).
4*t**2*(t - 1)*(t + 1)**2
Suppose 0*n = -3*n, y + 6 = -4*n. Let m(b) = b**3 + 6*b**2 - 8*b + 5. Let k be m(y). Factor -k*s**2 - s**4 - 2*s**3 + 2*s + 109*s**2 - 55*s**2.
-s*(s - 1)*(s + 1)*(s + 2)
Let q(c) be the first derivative of -1/45*c**5 - c + 4/3*c**2 - 92 - 22/27*c**3 + 2/9*c**4. Determine v, given that q(v) = 0.
1, 3
Let p(f) = f**3 + 4*f**2 - 6*f - 21. Let y be p(-4). What is j in 12*j**2 - 6*j - 4*j**3 + 15*j - 4*j + 2*j**5 - 6*j**4 - 6 - y*j = 0?
-1, 1, 3
Let f(t) = 4*t**2 + 1982*t - 5982. Let s be f(3). Suppose 9/7*b + 10/7*b**2 + 1/7*b**3 + s = 0. What is b?
-9, -1, 0
Suppose 3*g - 4*g + 2 = 0. Suppose -2*b + 10 = v + 2*v, -3*v = 3*b - 12. Suppose -18*k**b + 12*k + 3*k - 25 + 13*k**g + 15*k = 0. What is k?
1, 5
Let o be (-1)/(-2) - (0 + -3)/(-6). Suppose -a = -2*b - 5, -2 + o = -a - b. Factor -2*g**a + g**5 + g + 0*g + 0*g.
g*(g - 1)**2*(g + 1)**2
Suppose 2/3*u**2 + 100 - 50/3*u = 0. What is u?
10, 15
Suppose -108*t + 88 = -86*t. Suppose -11*b = -10*b + d - 1, 0 = -t*b - d + 7. Solve -5/3*k**3 - 4/3*k + 0 + 1/3*k**4 + 8/3*k**b = 0.
0, 1, 2
Determine m so that 506*m**3 - 6*m**5 + 280*m**2 + 336 + 56242*m + 1156*m**2 + 54400*m - 109210*m + 40*m**4 = 0.
-3, -2, -1/3, 14
Let v = 122 + -124. Let i be 212/8 + v/4. Factor 20*j**2 + 2*j + i*j**4 - 7*j - 15*j - j**4 + 65*j**3.
5*j*(j + 1)*(j + 2)*(5*j - 2)
Let n(k) be the first derivative of 5*k**3/3 + 2955*k**2 + 1746405*k - 1371. Factor n(w).
5*(w + 591)**2
Let v(j) be the third derivative of j**7/42 + j**6/8 - 119*j**5/12 + 775*j**4/8 - 875*j**3/3 + 2457*j**2. Suppose v(f) = 0. Calculate f.
-14, 1, 5
Let v(w) be the second derivative of -w**4/60 + 763*w**3/15 - 582169*w**2/10 - 3*w + 2571. Factor v(r).
-(r - 763)**2/5
Let p = 68 + -44. Let o(m) = -p*m**2 + 53*m - 11 + 17*m**2 - 30*m**2. Let z(s) = -55*s**2 + 80*s - 17. Let t(x) = 8*o(x) - 5*z(x). Factor t(v).
-3*(v - 1)*(7*v - 1)
Let f(o) = -o**3 + 11*o**2 + 4. Suppose -2*m = -7 - 15. Let n be f(m). Factor 3631*v**2 - 3631*v**2 + 3 - 6*v + 6*v**3 - 3*v**n.
-3*(v - 1)**3*(v + 1)
Let l(y) be the third derivative of -y**5/60 - y**4/24 + y**3/6 - 39*y**2. Let u(r) = 18*r**2 + 24*r - 15. Let g(t) = -15*l(t) - u(t). Factor g(v).
-3*v*(v + 3)
Let q(c) be the first derivative of c**3/12 + 51*c**2/2 - 103*c - 128. Determine p, given that q(p) = 0.
-206, 2
Let c = 79547/169503055 - -1/41801. Let a = 4059/8110 - c. Factor 8 + 9/2*o**2 - a*o**3 - 12*o.
-(o - 4)**2*(o - 1)/2
Let u(p) = 5*p**3 + 50*p**2 + 70*p + 35. Let s(o) = -5*o**3 - 48*o**2 - 69*o - 34. Let t be (21/(-28))/((-3)/20). Let d(h) = t*s(h) + 4*u(h). Factor d(w).
-5*(w + 1)**2*(w + 6)
Let s be (66/(-77) - (-99)/140)*10/(-54). Let n(t) be the second derivative of -s*t**4 + 24*t + 0*t**5 + 0 + 1/90*t**6 + 0*t**2 + 0*t**3. Factor n(y).
y**2*(y - 1)*(y + 1)/3
Let o = -417687 - -417689. Find d, given that -2/5*d**4 - 6/5*d**3 - 4/5*d + 0 + o*d**2 + 2/5*d**5 = 0.
-2, 0, 1
Suppose 2 = 6*v - 16. Suppose a = 2*h - 19 + 4, -v*h + 5*a + 26 = 0. Determine z, given that -h*z**2 + 5*z**2 - z**2 - z - 2*z = 0.
-1, 0
Let w = 18386 - 8880433/483. Let h(y) be the second derivative of -13/345*y**6 + 0*y**2 + 0*y**3 - 3/115*y**5 + w*y**7 + 8*y + 0 + 0*y**4. Solve h(v) = 0.
-2/5, 0, 3
Let b be (-1 + (-10)/(-6))/((-7)/462). Let n = b + 47. Determine m so that -m + 2*m**2 + n*m - 16*m + 8*m = 0.
0, 3
Let l be 1041/(-9) + 1 + (-5)/(-15). Let r = -114 - l. Suppose 0 + r*a + 2/3*a**2 + 1/3*a**3 = 0. Calculate a.
-1, 0
Factor -t**4 - 70 - 59 - 43*t**3 + 1825*t - 622 - 393*t**2 - 330*t - 307.
-(t - 2)*(t - 1)*(t + 23)**2
Let q(z) be the second derivative of z**6/15 + 1448*z**5/5 + 524176*z**4 + 1518013696*z**3/3 + 274760478976*z**2 + 35*z + 31. Factor q(a).
2*(a + 724)**4
Let q(n) be the second derivative of n**5/150 - 46*n**4/45 - 404*n**3/15 - 1248*n**2/5 - 6*n - 23. Find r, given that q(r) = 0.
-6, 104
Let q(r) = r**3 + 4*r**2 + 4*r + 2. Let c be q(-2). Let u be (-441)/(-168)*(2967/161 - 17). Factor -u*l**c + 5/4*l**3 - 5/4*l + 5/4*l**4 + 5/2.
5*(l - 1)**2*(l + 1)*(l + 2)/4
Let m(c) be the first derivative of -293 - 23/2*c**2 - c - 143/3*c**3 - 121/4*c**4. Suppose m(g) = 0. Calculate g.
-1, -1/11
Suppose -96*l - 8*l - 13*l = 0. Let r(x) be the third derivative of -6*x**2 + 1/300*x**6 + l*x**3 + 0*x + 0 - 1/30*x**4 - 1/150*x**5. Factor r(a).
2*a*(a - 2)*(a + 1)/5
Let x(h) = -h**3 - 34*h**2 + 32*h - 69. Let t be x(-35). Suppose 10*c**3 - 2*c**2 + 10*c**3 - t*c + 16*c**3 + 3*c**4 - c**4 = 0. What is c?
-18, -1, 0, 1
What is m in 560/3 - 1060/3*m - 35/3*m**3 - 280*m**2 + 25/3*m**4 = 0?
-4, -2, 2/5, 7
Suppose -3008 + 4*p**5 + 2393195*p**2 - 220*p**4 + 2414*p**3 - 814*p**3 - 2397835*p**2 + 6080*p = 0. What is p?
2, 47
Let j(a) be the second derivative of -7/6*a**3 + 0 + 1/450*a**6 + 1/15*a**5 + 5/6*a**4 + 0*a**2 - 16*a. Let l(r) be the second derivative of j(r). Factor l(i).
4*(i + 5)**2/5
Let s(n) be the second derivative of n**6/30 + 51*n**5/20 + 47*n**4/2 + 274*n**3/3 + 180*n**2 + 3704*n. Factor s(u).
(u + 2)**3*(u + 45)
Let o(j) be the first derivative of j**3/9 - 407*j**2/6 - 136*j + 58. Determine p, given that o(p) = 0.
-1, 408
Find y, given that 0 + 20/3*y + 18*y**2 = 0.
-10/27, 0
Let z(b) = b**2 + b - 29. Let d be z(-5). Let q be d + 0 + (-190)/(-20). Determine g so that 3/2 + 1/6*g**3 - 5/6*g**2 + q*g = 0.
-1, 3
Let c(w) be the third derivative of w**8/2016 + 41*w**7/1260 + 91*w**6/120 + 539*w**5/90 - 343*w**4/18 - w**2 + 749. Let c(h) = 0. Calculate h.
-14, 0, 1
Let y(n) be the first derivative of -n**5/20 + 15*n**4/8 - 17*n**3 + 145*n**2/4 + 525*n/4 + 930. Factor y(x).
-(x - 21)*(x - 5)**2*(x + 1)/4
Find o, given that -33/2*o**3 - 69*o**2 - 3/4*o**4 - 183/2*o - 153/4 = 0.
-17, -3, -1
Suppose -18249135/2*a + 6709598635/2 - 5/2*a**3 + 16545/2*a**2 = 0. What is a?
1103
Let n(p) = 4218*p + 118104. Let b be n(-28). Solve -3/8*f**4 + b - 81/8*f - 27/8*f**3 - 81/8*f**2 = 0.
-3, 0
Suppose 0 = 36*w - 15 - 57. Let u = -22 - -83. Factor 16 + 28*q**w - 59*q + 16 - u*q.
4*(q - 4)*(7*q - 2)
Let b(v) be the first derivative of v**3/2 + 171*v**2/4 + 810*v + 6865. Let b(s) = 0. What is s?
-45, -12
Let o = -9512/1209 - -746/93. Solve -o*z**2 + 0 + 20/13*z = 0.
0, 10
Let s(i) be the third derivative of 104*i**2 + 0*i + 1/6*i**4 - 3/5*i**3 - 1/150*i**5 + 0. Find m, given that s(m) = 0.
1, 9
Let x(k) = -2*k**3 + 5*k**2 + 12*k + 2. Let v be x(4). Let q(j) be the first derivative of -1/2*j**3 + 21/4*j**v + 37 + 12*j. Factor q(z).
-3*(z - 8)*(z + 1)/2
Let u be (0 - (-2)/11)/(119/((-188496)/(-192))). Solve -3/2*y + 3/2*y**4 + 3/2*y**3 + 0 - u*y**2 = 0.
-1, 0, 1
Suppose 6*i - 3*i - 5*h = 73, -i = 3*h - 15. Suppose -2*x = -i + 17. Factor 46*t**4 - 2*t**3 - 2*t**x - t**3 - 47*t**4.
-t**2*(t + 1)*(t + 2)
Let w(m) be the first derivative of -m**7/8400 + 7*m**5/400 - m**4/12 - 2*m**3/3 + 8*m + 105. Let h(o) be 