 i(r).
2*r*(r + 2)
Let a(q) = 2*q**3 + 10*q**2 - 10*q - 2. Let s(i) = 3*i**3 + i**2 + i + 1. Let t(z) = -a(z) - 2*s(z). Determine f so that t(f) = 0.
-2, 0, 1/2
Let k(y) be the third derivative of -y**5/150 - 2*y**4/5 + 5*y**3/3 - 134*y**2. Factor k(s).
-2*(s - 1)*(s + 25)/5
Let k(y) = -3*y**2 + 3*y + 10. Let q be -3 - ((-3 - 0) + 0). Let h(g) = 1 - 2*g - g + q*g + 3*g**2 - 10. Let d(b) = -4*h(b) - 3*k(b). Factor d(c).
-3*(c - 2)*(c + 1)
Suppose 12 = 5*b - 8. Let r(g) be the first derivative of 0*g + 2/25*g**5 - 2/15*g**3 + b - 1/5*g**2 + 1/10*g**4. What is n in r(n) = 0?
-1, 0, 1
Let k be 27/6 - 200/80. Factor -1/4*h**5 + 3/4*h**4 + 0*h**k - 1/2*h**3 + 0*h + 0.
-h**3*(h - 2)*(h - 1)/4
Let c(f) be the first derivative of -2/15*f**3 + 2/5*f + 13 - 1/10*f**2 + 1/20*f**4. Solve c(d) = 0.
-1, 1, 2
Factor 255/4*u**2 + 1008*u - 256 + u**3.
(u + 32)**2*(4*u - 1)/4
Let n(q) = -17*q**4 - 3*q**2 + q**5 + 3*q**4 + 5*q**4 + q**3 + 8*q**4 - 6*q - 4. Let y(l) = l**4 + l + 1. Let g(m) = -n(m) - 4*y(m). Factor g(x).
-x*(x - 1)*(x + 1)**2*(x + 2)
Let 2/5*h**4 + 16/5*h**3 + 24/5 + 56/5*h + 46/5*h**2 = 0. What is h?
-3, -2, -1
Let f be (66/(-176))/(14/(-4) + 3). Let y(l) be the first derivative of -4*l**3 - f*l**4 - 15/2*l**2 - 6*l - 2. Solve y(d) = 0 for d.
-2, -1
Let d = 17 - 15. Factor 4*s**d - 3*s**2 + 10*s + 5*s**2 - s**2.
5*s*(s + 2)
Let p(q) be the second derivative of q**6/45 - 2*q**5/15 - 11*q**4/18 + 22*q**3/3 - 24*q**2 - 29*q + 10. Find u, given that p(u) = 0.
-4, 2, 3
Let g(f) be the first derivative of -43*f**3/2 - 33*f**2 - 3*f/2 - 84. Solve g(o) = 0 for o.
-1, -1/43
Let h(t) be the second derivative of -t**6/35 + 13*t**5/70 - t**4/42 - 13*t**3/21 + 4*t**2/7 + 9*t + 18. Solve h(l) = 0.
-1, 1/3, 1, 4
Let s(z) be the second derivative of 5*z**4/12 - 5*z**3/3 - 3*z - 39. Determine p so that s(p) = 0.
0, 2
Let q = 42548903/235105244 - 227/118084. Let k = 1/362 + q. Let -4/11*w**3 + 0*w**2 + 2/11 - k*w**4 + 4/11*w = 0. Calculate w.
-1, 1
Suppose -4*o + 1208 - 420 = 0. Let -100*q + 8 - 103*q + o*q + q**2 - 3 = 0. What is q?
1, 5
Let u(k) = k**3 - 23*k**2 + 78*k - 36. Let o be u(19). Solve 0 - 4/7*v + 10/7*v**o - 8/7*v**3 + 2/7*v**4 = 0 for v.
0, 1, 2
Let g(d) be the first derivative of -21*d**4/16 - 88*d**3 - 13425*d**2/8 - 1875*d/2 - 592. Let g(r) = 0. Calculate r.
-25, -2/7
Let n(s) be the first derivative of 15/2*s**4 + 0*s + 20*s**3 + s**5 + 20*s**2 + 14. Factor n(v).
5*v*(v + 2)**3
Let z(k) be the first derivative of -27/25*k**5 - 21/5*k**3 - 22 + 6/5*k - 9/10*k**2 - 15/4*k**4. Factor z(f).
-3*(f + 1)**3*(9*f - 2)/5
Let v(m) be the third derivative of m**8/336 - 53*m**7/42 + 220*m**6 - 19602*m**5 + 838530*m**4 - 3162456*m**3 - 17*m**2 + 7. Find k such that v(k) = 0.
1, 66
Let j(o) be the first derivative of o**6/11 - 2*o**5/11 - 29*o**4/11 + 80*o**3/33 + 138. Solve j(m) = 0.
-4, 0, 2/3, 5
Let h(f) = 2*f**3 + 293*f**2 + 4196*f - 3. Let n(d) = -7*d**3 - 878*d**2 - 12591*d + 8. Let r(x) = 8*h(x) + 3*n(x). Factor r(m).
-5*m*(m + 29)**2
Let n(g) be the third derivative of 1/360*g**6 + 2/9*g**3 + 0 + 1/8*g**4 + 19*g**2 + 1/30*g**5 + 0*g. Factor n(j).
(j + 1)**2*(j + 4)/3
Factor 81/5*l + 3/5*l**2 + 30.
3*(l + 2)*(l + 25)/5
Factor 1/5*m**4 + 9 + 12/5*m**3 + 84/5*m + 10*m**2.
(m + 1)*(m + 3)**2*(m + 5)/5
Factor -9576/5*h**3 - 684/5*h + 12/5 + 2352/5*h**4 + 10083/5*h**2.
3*(h - 2)**2*(28*h - 1)**2/5
Let x(a) be the third derivative of 1/504*a**8 + 10*a + 0*a**3 - a**2 - 1/90*a**6 + 0*a**4 + 0 + 0*a**5 - 1/315*a**7. Solve x(g) = 0.
-1, 0, 2
Let i be (-308)/84 + -1 + 4/6. Let y(g) = -2*g**3 - g + 4. Let u(w) = -w**3 - w + 2. Let l(x) = i*y(x) + 7*u(x). Factor l(j).
(j - 2)*(j + 1)**2
Let l be (-7 + 7)/(-3 - 0). Suppose 37 - 25*g + 3*g**2 + g + 11 + l*g = 0. What is g?
4
Suppose 0 = -392*v - 300*v - 69*v + 2283. Solve -2/5*i**4 + 4/5*i**v + 0 + 0*i + 0*i**2 = 0.
0, 2
Suppose 4*d = 8*d - 44. Find g, given that -d + g**3 + 1 + 3 - 9 + 24*g - 9*g**2 = 0.
1, 4
Let r = -3 - -7. Let i be 2/(-2) - (-5 - 1). Factor 2*k**r - 4*k**2 - i*k**2 + 3*k**2 + 4*k.
2*k*(k - 1)**2*(k + 2)
Suppose -76*m + 71 = -157. Factor 0*r - 2/9*r**m + 2/9*r**2 + 0.
-2*r**2*(r - 1)/9
Let s(r) be the second derivative of -2*r**6/15 + 7*r**5/5 + r**4 - 46*r**3/3 + 28*r**2 + 90*r. Factor s(u).
-4*(u - 7)*(u - 1)**2*(u + 2)
Let n(m) = 4*m**4 - 9*m**3 - 4*m**2 + 12*m - 3. Let s(q) = 12*q**4 - 28*q**3 - 12*q**2 + 36*q - 8. Let c(i) = -8*n(i) + 3*s(i). Factor c(o).
4*o*(o - 3)*(o - 1)*(o + 1)
Let c(i) = -12*i**2 - 10*i - 8. Let b(z) = 2*z. Let k(q) = 5*b(q) - c(q). Factor k(f).
4*(f + 1)*(3*f + 2)
Let b(t) be the second derivative of 12*t**2 + 23*t**3 + 0 + 37/10*t**6 + 5/14*t**7 + 95/4*t**4 + 267/20*t**5 - 2*t. Factor b(s).
3*(s + 1)**3*(s + 4)*(5*s + 2)
Suppose 4*m - 10 = -3*k, 0 = 3*m + 2*k - 6 - 2. Factor -3*r**2 + m*r**3 - 16 + 8*r**2 + 7*r**2.
4*(r - 1)*(r + 2)**2
Suppose 7*r - 4*r = -z - 12, -z - 5*r - 16 = 0. Let c be 6 + 28/z + 0 + -1. Factor 2/3*f - 1/3*f**2 - c.
-(f - 1)**2/3
Let -5*u + 5/3*u**2 - 650/3 = 0. What is u?
-10, 13
Let c(s) = -20*s - 116. Let r be c(-6). Let b(m) be the third derivative of -9/10*m**3 - 6*m**2 - 3/100*m**5 - 1/600*m**6 - 9/40*m**r + 0*m + 0. Factor b(y).
-(y + 3)**3/5
Let y be 4 - 33/9 - ((-104)/6 - -17). What is n in -5/6*n + 0 - 2*n**4 - 4*n**2 + y*n**5 - 35/6*n**3 = 0?
-1, -1/2, 0, 5
Let v(r) be the third derivative of r**5/480 + 21*r**4/32 + 125*r**3/48 - 649*r**2. Factor v(s).
(s + 1)*(s + 125)/8
Let q be (-2 - -6)*1/20. Let s(b) be the first derivative of 6 + 0*b + 1/30*b**6 + q*b**3 - 3/25*b**5 - 1/5*b**2 + 1/20*b**4. Find t such that s(t) = 0.
-1, 0, 1, 2
Let f(z) be the third derivative of 0*z + 1/735*z**7 - 10*z**2 - 2/21*z**3 + 0 - 5/84*z**4 - 1/70*z**5 + 1/420*z**6. Let f(s) = 0. What is s?
-1, 2
Let y(j) be the first derivative of -j**4/12 - 5*j**3/3 + 8*j**2/3 + 93. Factor y(r).
-r*(r - 1)*(r + 16)/3
Factor -230*x + 247*x + 54*x**3 + 4*x**5 - 20*x**4 - 3*x**5 - 52*x**2.
x*(x - 17)*(x - 1)**3
Let i(d) be the first derivative of 13/9*d**3 + 1/6*d**4 + 8*d - 7 + 4/3*d**2. Let n(g) be the first derivative of i(g). Factor n(t).
2*(t + 4)*(3*t + 1)/3
Find y such that 343/6*y**3 - 79092 - 1911*y**2 + 21294*y = 0.
78/7
Let g = -7614/5 + 59117/40. Let r = 45 + g. What is j in 1/8 + 1/4*j + r*j**2 = 0?
-1
Suppose 5 = -11*t + 10*t. Let p be t - (-1 + (-396)/39). Suppose 10/13*j - 280/13*j**3 + 1152/13*j**5 - p*j**2 + 960/13*j**4 + 2/13 = 0. Calculate j.
-1, -1/6, 1/4
Let p be 0 - (-2 + 0/3). Let m(y) = -2*y**2 - 14*y + 19. Let b be m(-8). Factor 2*i**4 - 3*i + i + 7*i**2 - 6*i**b - i**p.
2*i*(i - 1)**3
Suppose 0 = 148*v - 150*v + 10. Factor -8 + 4*z**2 - v*z**2 + 7*z**2 - 10*z**2 - 12*z.
-4*(z + 1)*(z + 2)
Find g such that -6*g + 20*g**2 + 1710*g**3 + 28*g**4 + 2*g - 1658*g**3 = 0.
-1, 0, 1/7
Let o = -311/24 + 105/8. Let g(k) be the third derivative of -o*k**4 - 1/105*k**7 - k**2 + 0*k + 0*k**3 + 1/10*k**5 + 0*k**6 + 0. Let g(h) = 0. What is h?
-2, 0, 1
Let l be 189/72 - (15/24 + -1). Let s(a) be the first derivative of 5/12*a**l + 1/4*a - 2 - 3/4*a**2. Factor s(y).
(y - 1)*(5*y - 1)/4
Suppose -39*b + 37*b = 0. Let s(g) be the third derivative of 1/9*g**4 + 4/9*g**3 + 1/90*g**5 + b + 0*g + 7*g**2. Factor s(d).
2*(d + 2)**2/3
Let h be 2/6*(1 - 0). Let x = -303/2 + 917/6. Factor 4/3*f**5 + h*f**3 + 0 - x*f**4 + 0*f + 0*f**2.
f**3*(2*f - 1)**2/3
Let g(o) be the second derivative of o**7/105 - o**6/60 - o**5/30 + o**4/12 + 9*o**2/2 + o. Let p(l) be the first derivative of g(l). Find w such that p(w) = 0.
-1, 0, 1
Suppose -44*j = -43*j. Let d(q) be the second derivative of 1/28*q**7 + 0*q**5 + q - 1/20*q**6 + 0 + j*q**3 + 0*q**2 + 0*q**4. Factor d(i).
3*i**4*(i - 1)/2
Let m(r) be the third derivative of -r**6/60 + r**5/6 + r**4/6 - 8*r**3 - 191*r**2. Solve m(l) = 0.
-2, 3, 4
Let r be 15 + (405/10)/(-3). Let 0*i**2 - 3/2*i**4 + 0 + 0*i - r*i**3 = 0. What is i?
-1, 0
Let t(c) be the third derivative of -c**6/780 + 2*c**5/195 - c**4/156 - 2*c**3/13 - 2*c**2 - 1. Solve t(n) = 0 for n.
-1, 2, 3
Let u(f) = -f**3 + 3*f**2 + 2. Let g be u(3). Let x be (-169)/(-234) + 2/(-9). Find i, given that -x + 1/2*i**3 + 3/2*i - 3/2*i**g = 0.
1
Let -8/3*y + 2/3*y**2 - 8 = 0. What is y?
-2, 6
Let n = -440/3 - -147. Let v(y) be the first derivative of 0*y**2 - 8 + 0*y + n*y**3. Fac