or t(i).
-(i - 2)*(i - 1)/4
Let d(s) be the second derivative of 0*s**2 + 0*s**3 + 9*s - 1/240*s**6 + 0 - 1/48*s**4 - 3/160*s**5. Factor d(k).
-k**2*(k + 1)*(k + 2)/8
Factor 96/5 - 138/5*p - 9/5*p**2.
-3*(p + 16)*(3*p - 2)/5
Let h(q) be the second derivative of -q**4/4 + 31*q**3 + 422*q. Suppose h(r) = 0. Calculate r.
0, 62
Let q(r) be the second derivative of -5*r**4/4 - r**3 - 3*r**2/10 - 9*r + 4. Determine u so that q(u) = 0.
-1/5
Determine p so that 10*p + 5*p**2 - 5*p**2 + 12 - 17*p**3 - 4*p**2 + 15*p**3 = 0.
-3, -1, 2
Let k = -2/787 + 37786/3935. Factor 38/5*s**4 + 17/5*s + 9/5*s**5 + 62/5*s**3 + 2/5 + k*s**2.
(s + 1)**4*(9*s + 2)/5
Let w(t) be the second derivative of -t**6/70 - 3*t**5/7 - 59*t**4/14 - 90*t**3/7 - 243*t**2/14 + 12*t. Factor w(v).
-3*(v + 1)**2*(v + 9)**2/7
Let w = -16/761 - -841/3805. Factor -w*n**2 - 8/5*n - 16/5.
-(n + 4)**2/5
Let t(g) be the first derivative of 81*g**4/16 - 33*g**3/2 + 19*g**2/2 - 2*g - 117. Factor t(i).
(i - 2)*(9*i - 2)**2/4
Let t(i) = i**2 + 60*i - 321. Let k be t(5). Factor 1/2*g + 3/4*g**2 + 0*g**3 - 1/4*g**k + 0.
-g*(g - 2)*(g + 1)**2/4
Let n(l) = -2*l**2 + 11*l. Let o(j) = 2*j**2 - 10*j. Let b(z) = -2*z**2 + z + 4. Let c be b(-2). Let d(p) = c*n(p) - 7*o(p). Factor d(k).
-2*k*(k - 2)
Let j = 2205 + -2202. Factor 0 - 9/2*l**3 + j*l**2 + 0*l + 3/2*l**4.
3*l**2*(l - 2)*(l - 1)/2
Solve 44*l + 16*l + 112 - 1175*l**2 + 1177*l**2 = 0.
-28, -2
Solve -175/4 + 45*j**2 - 5/4*j**4 + 5/2*j - 5/2*j**3 = 0 for j.
-7, -1, 1, 5
Let n(l) be the second derivative of 3*l**7/385 - l**6/110 + l**5/330 + 23*l**2/2 + 18*l. Let y(w) be the first derivative of n(w). Factor y(h).
2*h**2*(3*h - 1)**2/11
Let m(l) = -19*l + 538. Let t be m(28). Let k(h) be the third derivative of 1/70*h**7 + 4*h**2 + 0*h**4 + 0*h**t + 0 + 8*h**3 - 2/5*h**5 + 0*h. Factor k(d).
3*(d - 2)**2*(d + 2)**2
Suppose -3*u + q + 2*q + 9 = 0, 0 = 5*q. Factor -5 + 30 + u + 21*l + 11*l + 4*l**2.
4*(l + 1)*(l + 7)
Let j be (-1)/(-10)*4*-20. Let t(f) = -f**2 - 8*f + 2. Let c be t(j). Factor 0*z**2 + 4 - c + 2*z**2 - 4.
2*(z - 1)*(z + 1)
Let p(q) be the second derivative of q**6/45 + 11*q**5/30 + 11*q**4/6 + 37*q**3/9 + 14*q**2/3 + 468*q. Determine t so that p(t) = 0.
-7, -2, -1
Let p(w) be the third derivative of -w**8/5040 - w**7/504 - w**6/135 - w**5/90 + 11*w**3/6 + 18*w**2. Let k(y) be the first derivative of p(y). Factor k(q).
-q*(q + 1)*(q + 2)**2/3
Let t = -7/5 - -59/10. Factor -1/2*c**2 - t + 3*c.
-(c - 3)**2/2
Let u(l) = -37*l**3 + 27*l**2 + 44*l + 13. Let t(c) = 20*c**3 - 14*c**2 - 22*c - 6. Let z(r) = 11*t(r) + 6*u(r). Factor z(f).
-2*(f - 6)*(f + 1)**2
Factor 56*a + 0*a**4 - a**4 + 3*a**4 + 24*a**3 + 0*a**4 + 18 + 60*a**2.
2*(a + 1)**3*(a + 9)
Suppose -2/5*s**2 + 572/5*s - 40898/5 = 0. What is s?
143
Let w = -246 + 232. Let l be ((8/w)/(54/(-63)))/1. Let 2/3*k**2 - 4/3 - l*k = 0. Calculate k.
-1, 2
Suppose -17 = -11*y + 93. Solve 0*d**2 - 8/3*d**3 + 0 + 0*d + y*d**5 + 8/3*d**4 = 0 for d.
-2/3, 0, 2/5
Let o(u) be the third derivative of -u**7/945 + u**6/540 + u**5/270 - u**4/108 - 6*u**2 - 2. Solve o(q) = 0.
-1, 0, 1
Factor -2*r + 15*r**2 - 18 + 31*r - 6*r**2 - 12*r**2.
-(r - 9)*(3*r - 2)
Let x be 2*(7 + 83/(-12)). Let k(g) be the first derivative of x*g**3 + 0*g - 1/2*g**2 + 2. Find r such that k(r) = 0.
0, 2
Suppose v - 5*v + 16 = 0, s + 4*v - 19 = 0. Let 17*u**3 + 5*u**2 + 12*u**5 - 26*u**3 + 4*u**2 - 27*u**4 - 21*u**s = 0. What is u?
-1, 0, 1/4, 3
Let w(s) be the second derivative of -5*s**7/42 + s**6/2 - 5*s**4/3 + 287*s. Factor w(u).
-5*u**2*(u - 2)**2*(u + 1)
Let -38/3*f**2 - 50/3*f**4 - 2/3*f**5 - 134/3*f**3 + 88/3 + 136/3*f = 0. What is f?
-22, -2, -1, 1
Let w(g) be the first derivative of 145*g**4 + 1055*g**3/3 + 505*g**2/2 + 30*g - 283. What is i in w(i) = 0?
-1, -3/4, -2/29
Let c(x) = 6*x**2. Let v be c(-1). Let z = v - 3. Factor -15*k**3 - z*k - 11*k + 41*k - 3*k**4 - 9*k**2.
-3*k*(k - 1)*(k + 3)**2
Let c = 8671/45 + -1718/9. Suppose 2/5 - 7/5*b - b**3 + 1/5*b**4 + c*b**2 = 0. What is b?
1, 2
Let d(l) be the first derivative of 1/2*l**2 + l - 1/3*l**3 - 1/4*l**4 - 13. Find z, given that d(z) = 0.
-1, 1
Factor -17/7 + 17/7*f**2 + 1/7*f**3 - 1/7*f.
(f - 1)*(f + 1)*(f + 17)/7
Let a be (-7)/(-28)*-4*(-4 - -1). Let y(d) be the first derivative of -1/2*d**2 - 6 + 2/3*d + 0*d**a + 1/12*d**4. Factor y(m).
(m - 1)**2*(m + 2)/3
Let -784/3*w + 28/3*w**2 - 1/9*w**3 + 21952/9 = 0. Calculate w.
28
Find v such that 9308 + 232*v + 8893*v**2 + 4148 - 8892*v**2 = 0.
-116
Let d(o) = -8*o**2 + 8*o + 11. Let x be d(6). Let s = -227 - x. Factor 0*f + 0 + 18/7*f**s + 2/7*f**4 + 12/7*f**3.
2*f**2*(f + 3)**2/7
Let w be -8 + (15 - 1066/156). Suppose -3/2*c**2 - 9/2 - 9/2*c - w*c**3 = 0. What is c?
-3
Let a(b) = 2*b**3 - 2*b**2 - 5. Let t be a(0). Let j be ((-4)/20)/(7/t). Factor 1/7 - 1/7*o**3 + 1/7*o - j*o**2.
-(o - 1)*(o + 1)**2/7
Let m(d) = d**4 + d**3 - 2. Let s(g) = 35*g**4 + 20*g**3 - 115*g**2 - 40*g + 100. Let n(b) = -10*m(b) - s(b). Find j such that n(j) = 0.
-4/3, 1
Let y(q) be the second derivative of 12/7*q**2 + 1/21*q**4 - 10/21*q**3 + 0 - 9*q. Factor y(h).
4*(h - 3)*(h - 2)/7
Let o(f) be the second derivative of f**4/6 + 166*f**3/3 + 6889*f**2 - 59*f. Suppose o(d) = 0. What is d?
-83
Let v(b) be the third derivative of -b**5/20 + 67*b**4/8 + 34*b**3 + 10*b**2 + 17. Solve v(y) = 0.
-1, 68
Let q(m) be the second derivative of m**4/12 - 34*m**3/3 + 578*m**2 - m + 71. Factor q(j).
(j - 34)**2
Let p(i) be the second derivative of -2*i**7/105 + i**5/5 - i**4/3 + 4*i**2 - i. Let s(u) be the first derivative of p(u). Factor s(l).
-4*l*(l - 1)**2*(l + 2)
Let f(r) be the second derivative of -r**4/66 - 40*r**3/33 - 400*r**2/11 + 90*r. Solve f(d) = 0 for d.
-20
Suppose 3*h = -3*d + 12, -31*h - 10 = -4*d - 32*h. Factor 2/5*f**d + 0 + 0*f.
2*f**2/5
Let -432 - 1/4*r**3 - 9*r**2 - 108*r = 0. Calculate r.
-12
Suppose 287*c = 341*c. Let w(i) be the third derivative of 1/60*i**4 + 1/50*i**5 + 0 + 0*i**3 + c*i - 9*i**2 + 1/525*i**7 + 1/100*i**6. Factor w(q).
2*q*(q + 1)**3/5
Suppose 7*x = -62 + 83. Let z(u) be the second derivative of u + 0 - x*u**2 - 1/4*u**4 + 3/2*u**3. Determine c so that z(c) = 0.
1, 2
Let b = -2003/5 - -403. Let r(j) be the first derivative of 40/3*j**3 + 6*j**4 - 2/3*j**6 + 36*j - b*j**5 - 42*j**2 + 1. Factor r(f).
-4*(f - 1)**3*(f + 3)**2
Let c(y) be the first derivative of -y**7/280 + y**6/24 - y**5/10 + 10*y**3/3 - 25. Let o(x) be the third derivative of c(x). Let o(t) = 0. What is t?
0, 1, 4
Let h = 142 + -126. Suppose a - 12 = -3*a. Factor -6*t**4 - t**5 - t - h*t**2 - 12*t**a - 2*t**3 - 8*t - 2.
-(t + 1)**4*(t + 2)
Let b = -764 - -767. Factor 2/3*i**b + 0*i - i**2 + 1/3.
(i - 1)**2*(2*i + 1)/3
Let z(g) be the first derivative of -g**6/2 + 9*g**5/5 + 3*g**4/4 - 11*g**3 + 18*g**2 - 12*g - 80. Factor z(a).
-3*(a - 2)*(a - 1)**3*(a + 2)
Let z = 4/1257 + 2446/21369. Factor z*o**2 - 2/17*o - 4/17.
2*(o - 2)*(o + 1)/17
Let t(x) = -8*x**4 + 4*x**3 + 4*x**2 + 3*x + 25. Let n(l) = l**4 - l**2 - l - 3. Let q(c) = 14*n(c) + 2*t(c). Let q(k) = 0. Calculate k.
-1, 1, 2
Solve 1/2*m + 15/4*m**2 - 2 - 5/4*m**4 - m**3 = 0.
-2, -4/5, 1
What is z in -26*z**3 + 102/7*z**4 - 2*z**5 - 20/7*z + 0 + 114/7*z**2 = 0?
0, 2/7, 1, 5
Let n = -12/1129 - -6834/5645. What is y in 27/5*y - 6/5*y**2 - 27/5*y**3 + n = 0?
-1, -2/9, 1
Suppose -3*b + 82 = -4*l, -4*b + 3*l + 87 = -20. Factor 15*n + 64 - 4*n**4 - 65*n**2 - 30*n**3 - 5*n**3 + b - n**4.
-5*(n - 1)*(n + 2)*(n + 3)**2
Let j = -761 - -766. Let u(d) be the second derivative of 0*d**3 + 9*d - 5/48*d**4 + 0*d**2 + 1/16*d**j + 0. Let u(s) = 0. What is s?
0, 1
Let u = 24 - 20. Find j, given that -u*j - 8*j**3 - 6*j**3 + 6*j**3 - 8*j**2 + 4*j**3 = 0.
-1, 0
Let u(a) = a**2 + a - 2. Let c be u(0). Let r = 2 - c. Factor -34*d**5 + d**2 + 8*d**3 + 35*d**5 - 5*d**2 - 5*d**r.
d**2*(d - 2)**2*(d - 1)
Factor -2/11*y**5 + 24/11*y**4 - 4*y**3 - 98/11*y - 168/11*y**2 + 0.
-2*y*(y - 7)**2*(y + 1)**2/11
Let y(u) be the second derivative of -u**5/5 - 3*u**4 - 16*u**3 - 32*u**2 + 254*u. Factor y(s).
-4*(s + 1)*(s + 4)**2
Let p = 33 - 33. Suppose p*w = -2*w. Determine y, given that -3*y**5 + w*y**5 + 27*y**3 - 24*y**3 = 0.
-1, 0, 1
Factor 0 - 1/6*c + 1/12*c**2.
c*(c - 2)/12
Let t(q) be the first derivative of 5*q**4/12 + 25*q**3/3