3 + 17*r**4.
-2*r**3*(r - 2)*(r + 1)
Let i(d) be the third derivative of 0*d - 8*d**2 - 1/120*d**6 + 0 + 0*d**5 + 7/24*d**4 + d**3. Factor i(m).
-(m - 3)*(m + 1)*(m + 2)
Let s = -1/18876 + 4721/37752. Factor -1/8*b**3 + s*b**4 - 1/8*b**2 + 1/8*b + 0.
b*(b - 1)**2*(b + 1)/8
Let b(z) be the first derivative of 2*z**6/15 - 2*z**4/5 + 2*z**2/5 - 21. Factor b(l).
4*l*(l - 1)**2*(l + 1)**2/5
Let w = 334/627 + 28/209. Let -2/9*v**2 + 0 - w*v = 0. Calculate v.
-3, 0
Let i(s) = s**2 - 4*s - 73. Let u be i(-7). Let m(x) be the second derivative of 0*x**2 - 1/12*x**u + 0*x**3 + 0 - 6*x. Factor m(p).
-p**2
Let b(c) be the second derivative of c**5/60 + 55*c**4/36 + 87*c**3/2 + 243*c**2/2 + 179*c. Let b(a) = 0. What is a?
-27, -1
Let j(x) be the first derivative of 4*x**5/5 + x**4 - 8*x**3/3 - 9. Solve j(v) = 0 for v.
-2, 0, 1
Let m(l) = -15*l**3 - l**2 - l. Let p be 2/4*(1 - 3). Let s be m(p). Let o**4 - 7*o**5 + s*o**3 - 6*o**3 - 3*o**2 - 2*o**5 + 2*o**4 = 0. What is o?
-1, 0, 1/3, 1
Let z(d) be the second derivative of 0*d**2 + 0 + 0*d**3 + 5/12*d**4 + 5/14*d**7 + 1/4*d**5 - 5/6*d**6 - 6*d. Solve z(y) = 0.
-1/3, 0, 1
Let z = -3 + 5. Let a = -562 - -564. Suppose -10*g**z + 8*g**a - 2*g**3 + 6*g**2 + 6*g**3 = 0. Calculate g.
-1, 0
Let -22/3*r**2 - 22/3*r**3 - 2/3*r + 4/3 - 2*r**4 = 0. What is r?
-2, -1, 1/3
Let c = -89 + 92. Let -1 + 0 + 8*a - a**4 + 6*a**2 + 1 - c*a**3 = 0. What is a?
-4, -1, 0, 2
Suppose -3*g - a + 2 = 0, 4*g - 5*a - 21 - 7 = 0. Factor 785*w**2 + g*w - 5*w + 3*w**5 - 6*w**4 - 779*w**2.
3*w*(w - 1)**3*(w + 1)
Let f = 91 + -15. Factor -f*v + 35*v + v**2 + 36*v.
v*(v - 5)
Let a(i) be the first derivative of -2/3*i**3 - 21 + 4/5*i**2 + 0*i + 1/10*i**4. What is b in a(b) = 0?
0, 1, 4
Let o(x) be the second derivative of x**8/3920 - x**7/392 + x**6/105 - x**5/70 - 13*x**3/6 - 3*x. Let g(q) be the second derivative of o(q). Factor g(w).
3*w*(w - 2)**2*(w - 1)/7
Let n be -35*56/(-980) - (-4)/(-5). What is u in n*u**3 + 6/5 - 3/5*u**5 - 3/5*u - 12/5*u**2 + 6/5*u**4 = 0?
-1, 1, 2
Let v = -153 - -342. Let h be 3 - 582/v - (-4)/18. Factor h*s**2 + 0*s + 0.
s**2/7
Let d(m) be the first derivative of 3*m**4/16 + m**3/2 + 3*m**2/8 - 29. Determine s, given that d(s) = 0.
-1, 0
Let i(t) be the first derivative of 2/9*t**3 + 4 - 5/9*t**2 + 4/9*t + 1/18*t**4 - 2/45*t**5. Factor i(f).
-2*(f - 1)**3*(f + 2)/9
Let l(q) be the third derivative of q**7/3360 - q**6/1440 - q**5/240 - 7*q**3/6 - 13*q**2. Let a(n) be the first derivative of l(n). Factor a(w).
w*(w - 2)*(w + 1)/4
Let r be (-22)/(-21) - (-10)/35. Factor -r*s + 2/3*s**2 - 2.
2*(s - 3)*(s + 1)/3
Let f(i) be the second derivative of i**4/18 - 2*i**3/3 + 8*i**2/3 - 25*i - 1. Determine z, given that f(z) = 0.
2, 4
Suppose 0 = -3*r + 2*p + 5, p = 14 - 15. Factor -25/4*s**3 - 6*s + r + 45/4*s**2.
-(s - 1)*(5*s - 2)**2/4
Let v be (1*(-2 - -8))/((-66)/(-44)). Factor v*s + 7/2*s**2 + 1/2.
(s + 1)*(7*s + 1)/2
Let r = 644/5 + -128. Let o = -177 - -181. Let -2/5*m**o + 6/5*m**2 + r - 2/5*m**3 + 2*m = 0. What is m?
-1, 2
Let b(j) be the third derivative of -1/105*j**7 - 1/60*j**6 + 0*j**3 + 2/15*j**5 - 25*j**2 + 0*j + 0 + 1/3*j**4. What is y in b(y) = 0?
-2, -1, 0, 2
Find j such that 1/8*j**3 + 77/8*j + 5*j**2 + 19/4 = 0.
-38, -1
Factor 8/5*r**3 - 36/5*r + 6/5*r**2 + 0 - 2/5*r**4.
-2*r*(r - 3)**2*(r + 2)/5
Factor 13/4*x**2 - 9/4*x - 1.
(x - 1)*(13*x + 4)/4
Let n(o) = -3*o**2 - 18*o + 5. Let a(c) = -8*c**2 - 38*c + 10. Let y(k) = 4*a(k) - 9*n(k). Factor y(u).
-5*(u - 1)**2
Let n be 2/24*3 + (-28)/(-80). Factor 0 + n*p**2 + 6/5*p.
3*p*(p + 2)/5
Let o be ((-42)/(-28))/((-10)/12 + 1). Factor 0*s**3 + o*s**2 + 4*s - 2*s**2 - 9*s**2 - 2*s**3.
-2*s*(s - 1)*(s + 2)
Let t be (-5)/4 - (-1 - 1). Let o = 10818 - 43271/4. Solve o*z**2 + 1/2 + t*z = 0.
-2, -1
Let f(m) be the third derivative of -m**9/4536 + m**7/420 - m**6/270 + 5*m**3/3 - 42*m**2. Let y(b) be the first derivative of f(b). Let y(k) = 0. Calculate k.
-2, 0, 1
Suppose 0*c - 14 = 2*s + 5*c, 5*s + 2*c + 77 = 0. Let q(x) = x**3 + 16*x**2 - 18*x - 17. Let v be q(s). Factor -1/4 + v*o**2 + 1/2*o**3 + 1/4*o**4 - 1/2*o.
(o - 1)*(o + 1)**3/4
Let z be ((-28)/12*(-92)/(-14))/2. Let o = z - -25/3. Factor 0*p + 2/3*p**3 + 0*p**2 + 0*p**4 - o*p**5 + 0.
-2*p**3*(p - 1)*(p + 1)/3
Let f = 415 - 408. Let g(a) be the third derivative of 1/840*a**7 + 0*a**4 - 1/480*a**6 - 1/240*a**5 + 0*a**3 + 0*a + 0 + 1/1344*a**8 - f*a**2. Factor g(i).
i**2*(i - 1)*(i + 1)**2/4
Let u(l) be the second derivative of -15*l**4/4 - 5*l**3/3 + 63*l. Factor u(m).
-5*m*(9*m + 2)
Let n(v) be the third derivative of -v**7/280 + v**6/60 - v**3 + 3*v**2. Let m(i) be the first derivative of n(i). Determine t, given that m(t) = 0.
0, 2
Let y be (-1 + 2)/(3/(-18)). Let q = y - -9. Solve -3*t**2 - 3*t**q + 18*t**3 - 3*t**2 = 0 for t.
0, 2/5
Let k(l) = 3*l**2 - 61*l + 106. Let r(y) = y**2 + y - 2. Let t(g) = -k(g) - r(g). Factor t(j).
-4*(j - 13)*(j - 2)
Let c be 3*(-11)/(33/(-3)). Let 4/3*y**2 - 2/3*y**4 + 0*y**c + 0*y - 2/3 = 0. Calculate y.
-1, 1
Let h(s) be the second derivative of -s**5/8 - 115*s**4/24 - 200*s**3/3 - 375*s**2 - 641*s. Factor h(m).
-5*(m + 3)*(m + 10)**2/2
Let v(m) be the third derivative of m**5/60 - m**4/8 + m**3/3 - 11*m**2. Let l be v(2). Factor j + l - 1/3*j**2.
-j*(j - 3)/3
Let l(q) = -2*q + 30. Let x be l(13). Let m(v) be the second derivative of -5*v + 1/4*v**x + 0*v**2 + 3/10*v**5 - 1/10*v**6 - v**3 + 0. Factor m(d).
-3*d*(d - 2)*(d - 1)*(d + 1)
Let b(u) be the first derivative of 3*u**6/10 - 3*u**5/25 - 3*u**4/4 + u**3/5 + 3*u**2/5 - 74. What is j in b(j) = 0?
-1, -2/3, 0, 1
Let k(j) be the third derivative of -j**6/40 + j**5/10 + 15*j**4/8 - 18*j**3 - 140*j**2. Factor k(f).
-3*(f - 3)**2*(f + 4)
Solve -436/9*b**2 - 64/9*b**3 + 1360/9*b - 2/9*b**4 + 578/3 = 0 for b.
-17, -1, 3
Let c be 4/6*(-18)/(-2). Suppose 4*x - 1 + 9 = 4*w, 3*w = -2*x + c. Factor 2*y + w*y**2 + y - y - 2 + 3*y**3 - 5*y**3.
-2*(y - 1)**2*(y + 1)
Let h be 3/(-1) + 35 + 1. Let l(o) = -3*o**2 - 6*o - 3. Let u(v) = -48*v**2 - 96*v - 48. Let k(x) = h*l(x) - 2*u(x). Factor k(m).
-3*(m + 1)**2
Let b(h) = h**3 + 40*h**2 + 41*h + 29. Let q be (-81)/(-6)*(-14)/21. Let w(p) = -p**3 - 20*p**2 - 21*p - 14. Let d(u) = q*w(u) - 4*b(u). Factor d(m).
5*(m + 1)**2*(m + 2)
Factor -2/9*t**2 - 44/9 - 46/9*t.
-2*(t + 1)*(t + 22)/9
Suppose 0*o = -5*o. Suppose 3*u - 9 + 3 = o. Suppose -3 + 2*x**u + 13 + 2 - 5*x**2 = 0. What is x?
-2, 2
Let d(z) be the first derivative of -z**6/84 + z**5/70 + z**4/42 - 3*z**2 - 4. Let r(s) be the second derivative of d(s). Factor r(j).
-2*j*(j - 1)*(5*j + 2)/7
Let f(s) be the second derivative of s**4/15 + 13*s**3/2 - 49*s**2/10 - 127*s. Factor f(v).
(v + 49)*(4*v - 1)/5
Suppose 5*h - h = 3*i - 22, 0 = 5*i + 2*h - 2. Let v(s) be the first derivative of -2/7*s**i + 0*s - 2/3*s**3 - 3. What is z in v(z) = 0?
-2/7, 0
Let r(w) be the third derivative of w**6/30 - 4*w**5/15 - 2*w**4/3 + 32*w**3/3 + 4*w**2 + 1. Factor r(y).
4*(y - 4)*(y - 2)*(y + 2)
Let f(b) = b**2 - 6*b - 5. Let g be f(7). Factor -97*t**2 + 70*t**g - 86*t**3 - 48*t**4 + 14*t**3 - 3*t.
-3*t*(t + 1)*(4*t + 1)**2
Let y = 241/4122 - 2/687. Let p(m) be the second derivative of 0*m**2 - 1/126*m**7 + 1/18*m**3 - 1/45*m**6 + 3*m + y*m**4 + 0 + 0*m**5. Factor p(x).
-x*(x - 1)*(x + 1)**3/3
Let h(j) be the third derivative of 1/525*j**7 + 3/50*j**5 + 5*j**2 + 2/15*j**3 + 0*j + 0 + 7/60*j**4 + 1/60*j**6. Let h(d) = 0. What is d?
-2, -1
Let x(h) = 5*h**3 - 8*h**2 + 7*h - 1. Let m(k) = 11*k**3 - 18*k**2 + 13*k - 1. Let y(z) = -6*m(z) + 10*x(z). Factor y(d).
-4*(d - 1)**2*(4*d + 1)
Let c(p) = 2*p - 25. Let k be 21*(-9)/((-81)/6). Let o be c(k). Factor -8*f**4 - f**3 + 3*f**o + 10*f**4.
2*f**3*(f + 1)
Let i(t) = -6*t**2 - 135*t - 6. Let l(k) = 11*k**2 + 268*k + 10. Let f(q) = -5*i(q) - 3*l(q). Factor f(z).
-3*z*(z + 43)
Let i(c) be the first derivative of -c**6/18 - c**5/5 + 5*c**4/12 + c**3/3 - 2*c**2/3 - 316. Suppose i(k) = 0. What is k?
-4, -1, 0, 1
Let n(u) be the third derivative of -11*u**2 + 10/3*u**3 + 0 + 1/2*u**5 + 1/24*u**6 + 15/8*u**4 + 0*u. Suppose n(i) = 0. Calculate i.
-4, -1
Suppose 0 = -20*q + 11*q + 108. Let m be (-10)/q - (24/4 - 7). Factor -m*d**2 + 1/6*d**4 - 1/6*d + 0 + 1/6*d**3.
d*(d - 1)*(d + 1)**2/6
Find m such that -306 - m**3