*u - 150. Let h(g) = 2*m(g) - 5*r(g). Let h(p) = 0. Calculate p.
-25, -1, 1
Suppose 6/5*x**5 - 16/5*x**3 - 4/5*x**4 + 2*x + 12/5*x**2 - 8/5 = 0. Calculate x.
-4/3, -1, 1
Suppose 19 = 3*d - 2*i, 4*d + 5*i + 27 = 14. Factor 16/3 + 16/3*x**4 - 50/3*x**d - 2/3*x**5 + 76/3*x**2 - 56/3*x.
-2*(x - 2)**3*(x - 1)**2/3
Let u(h) be the third derivative of -h**8/140 - 11*h**7/1050 + h**6/300 + h**5/300 - h**2 + 2*h. Solve u(x) = 0 for x.
-1, -1/4, 0, 1/3
Let z be -9*(-10)/(-15)*(-14)/(-3). Let q be (-38)/z - 7/(-49). Find g, given that 0 - q*g**2 + 3/2*g = 0.
0, 1
Let i = 2004869/2158170 + 855/3346. Let u = 2/129 + i. Factor -6/5*j**2 + 3/5*j + 0 + u*j**4 - 3/5*j**5 + 0*j**3.
-3*j*(j - 1)**3*(j + 1)/5
Let o(j) be the second derivative of j**7/294 + j**6/35 - j**5/140 - j**4/14 - 41*j + 2. Suppose o(l) = 0. What is l?
-6, -1, 0, 1
Factor -9*r**2 + 138*r - 23*r**2 + 0*r**3 - 34 - 146 + 2*r**3.
2*(r - 10)*(r - 3)**2
Let q(n) be the third derivative of 1/8*n**6 + 0*n - 1/16*n**4 + 10*n**2 + 0*n**3 + 3/80*n**5 + 0. Factor q(k).
3*k*(4*k - 1)*(5*k + 2)/4
Solve 48 - 2*a**2 - 3*a**2 - 88 - 30*a = 0 for a.
-4, -2
Let f(u) be the third derivative of -5*u**8/336 - u**7/6 - u**6/6 + u**5 - 158*u**2. Let f(r) = 0. What is r?
-6, -2, 0, 1
Let g(t) = 5*t**4 - 9*t**2 - t. Let l(w) = -w**2 - 2*w + 12. Let c be l(-5). Let f(a) = -6*a**4 + 10*a**2. Let o(d) = c*f(d) - 4*g(d). Factor o(p).
-2*p*(p - 2)*(p + 1)**2
Let n(d) = d**4 + 16*d**3 + 49*d**2 + 24*d - 10. Let t(r) = -r**4 - 8*r**3 - 25*r**2 - 12*r + 6. Let j(o) = -3*n(o) - 5*t(o). Factor j(k).
2*k*(k - 6)*(k + 1)**2
Let q(f) be the third derivative of -f**8/84 + 2*f**7/35 - f**6/30 - f**5/5 + f**4/3 + 77*f**2 - f. Solve q(h) = 0.
-1, 0, 1, 2
Let t(k) = k**4 + 167*k**3 + 425*k**2 + 430*k + 143. Let u(g) = -84*g**3 - 212*g**2 - 216*g - 72. Let q(j) = -4*t(j) - 7*u(j). Factor q(f).
-4*(f + 1)**3*(f + 17)
Factor -1/6*h**4 - 4/3*h - h**3 + 5/2*h**2 + 0.
-h*(h - 1)**2*(h + 8)/6
Suppose 2*g = 5*s - 11, -2*g - 8 = -5*s + s. Determine b so that -5*b**g - 5*b**2 - 20*b + 5*b**2 - 20 = 0.
-2
Suppose 5*m - 2 = -j - 5, -4*j = 12. Let r(o) be the second derivative of 0 + 1/3*o**4 - 10*o - 2*o**3 + m*o**2. Solve r(u) = 0.
0, 3
Let m = 1/11725 - 3552679/46900. Let w = 76 + m. Let 1/8*p**2 + 3/8*p**3 + 0 - w*p - 1/8*p**5 - 1/8*p**4 = 0. What is p?
-2, -1, 0, 1
Let h(f) = -f**2 + 118*f + 2. Let c be h(0). Factor -2*z**c + 0 - 1/5*z.
-z*(10*z + 1)/5
Let y(h) be the third derivative of 0*h**5 + 1/1155*h**7 + 0 + 0*h**4 + 0*h**3 + 0*h - 1/330*h**6 + 8*h**2. Determine k so that y(k) = 0.
0, 2
Let a(i) be the first derivative of 4*i**5/5 - 7*i**4 + 16*i**3 + 8*i**2 - 64*i - 316. Factor a(z).
4*(z - 4)*(z - 2)**2*(z + 1)
Let y(g) be the second derivative of g**4/4 + 17*g**3/2 - 27*g**2 + 509*g. Solve y(r) = 0 for r.
-18, 1
Let z be (174/116)/(1 - (-2)/(-8)). Suppose 0*d - 3*d**3 + 0 - 3/5*d**4 - 12/5*d**z = 0. Calculate d.
-4, -1, 0
Let y = 21 - 21. Suppose y = -3*f - 6, -f = 4*u + f + 4. Factor -6 + 5*b**3 + 0 + u - 9*b - 2*b**3.
3*(b - 2)*(b + 1)**2
Factor 46872*v + 231*v**2 + 516*v**2 - 3409*v**3 + 46128 + 3412*v**3.
3*(v + 1)*(v + 124)**2
Suppose 0 = -5*w - 140 + 220. Factor 12*f - w*f + 242 - 40*f + 2*f**2.
2*(f - 11)**2
Let a = -68/3 + 114/5. Let r(o) be the first derivative of 0*o - 1/20*o**4 - 1/10*o**2 - 1 - a*o**3. Factor r(n).
-n*(n + 1)**2/5
Let l be 1/4*0 - -7. Suppose -l = -3*d + j, -5*d + 3*j = -j. Factor 0 - 1/4*a**3 - 1/4*a**2 + 1/2*a**d + 0*a.
a**2*(a - 1)*(2*a + 1)/4
Suppose -2*n + 72 - 17 = 5*g, -70 = -5*n + g. Factor 24*h**2 + n*h**4 + 48*h**3 - 12*h**2 + 0*h**2 - 75*h**5.
-3*h**2*(h - 1)*(5*h + 2)**2
Let o(x) be the first derivative of -x**6/5 + 11*x**5/10 - 5*x**4/2 + 3*x**3 - 2*x**2 - 8*x + 16. Let b(d) be the first derivative of o(d). Factor b(c).
-2*(c - 1)**3*(3*c - 2)
Suppose 52 = -13*o + 15*o. Let f be (o - 24)/((-4)/(-6)). Determine i so that 2/7*i**f + 2/7*i**2 - 10/7*i + 6/7 = 0.
-3, 1
Let y(u) = 3*u - 12. Let w be y(6). Suppose 5*i - w - 9 = 0. Factor 8/5 - 2*l**i - 26/5*l**2 - 8/5*l.
-2*(l + 1)*(l + 2)*(5*l - 2)/5
Let p(r) be the second derivative of -r**4/6 + 90*r**3 - 18225*r**2 - 290*r. Factor p(x).
-2*(x - 135)**2
Suppose -45*t + 158*t - 226 = 0. Solve -36*l - 24*l**3 - 27/4*l**4 - 3/4*l**5 - 42*l**t - 12 = 0 for l.
-2, -1
Let o(b) be the third derivative of -b**6/210 - 2*b**5/105 - b**4/42 + 33*b**2. Factor o(i).
-4*i*(i + 1)**2/7
Suppose 0 = 18*w - 63 + 27. Factor -18/5*s - 21/5 + 3/5*s**w.
3*(s - 7)*(s + 1)/5
Let h(w) be the third derivative of w**8/80640 - w**7/20160 - 4*w**5/15 - 39*w**2. Let a(q) be the third derivative of h(q). Factor a(x).
x*(x - 1)/4
Let p = 1560622/313 - 4986. Let k = 4988/1565 + p. Let -98/5*y**5 + 32*y + k*y**2 - 32/5 - 512/5*y**3 - 434/5*y**4 = 0. Calculate y.
-2, -1, 2/7
Let a(j) = -14*j**3 - 26*j**2 - 24*j - 1. Let m(h) = -5*h**3 - 9*h**2 - 8*h. Suppose 4*u = u - 33. Let g(i) = u*m(i) + 4*a(i). Factor g(y).
-(y + 1)*(y + 2)**2
Let w(c) be the third derivative of -c**7/1050 - c**6/200 + c**5/300 + c**4/40 + 150*c**2. Factor w(x).
-x*(x - 1)*(x + 1)*(x + 3)/5
Let p = -3 + 8. Let w = 13505/23646 - -1/3378. Factor -1/7*q**p - 16/7*q - 25/7*q**2 - q**4 - 19/7*q**3 - w.
-(q + 1)**3*(q + 2)**2/7
Let q = -3766/65 + 58. Let z(u) be the first derivative of -q*u**5 - 1/39*u**6 + 4/39*u**3 + 1/13*u**2 + 0*u**4 - 6 + 0*u. Determine j so that z(j) = 0.
-1, 0, 1
Let m(o) be the first derivative of 0*o**3 + 2 - 1/60*o**4 - 1/150*o**6 + 1/50*o**5 - 6*o + 0*o**2. Let r(w) be the first derivative of m(w). Factor r(s).
-s**2*(s - 1)**2/5
Let n be (-220)/(-22)*(6 - (0 - 2)). Let j = 80 - n. Factor j - 1/2*f**3 - 1/2*f + f**2.
-f*(f - 1)**2/2
Let r(z) = 5*z**3 - 10*z**2 - 5*z + 4. Let p(u) = 1. Let f(h) = 6*p(h) + r(h). Factor f(x).
5*(x - 2)*(x - 1)*(x + 1)
Let z = 83/84 - 5/21. Let j = 11881 + -95045/8. Suppose -j*r**2 - z*r + 0 = 0. What is r?
-2, 0
Let a = -1535/3 + 6149/12. Factor 0 - 1/4*b**5 + 0*b + 0*b**3 + b**2 - a*b**4.
-b**2*(b - 1)*(b + 2)**2/4
Let w be 6/3 + (-5)/1. Let z be 1 + w + 5 + 3. Factor -3*n**2 + n + 3*n + 5*n - z.
-3*(n - 2)*(n - 1)
Let k(v) be the third derivative of 0 + 2/245*v**7 - 1/35*v**5 + 0*v - 25*v**2 - 3/140*v**6 + 1/784*v**8 + 0*v**3 + 5/56*v**4. Find j, given that k(j) = 0.
-5, -1, 0, 1
Let g = -115 - -10. Let b be (-42)/g*(-1 + 6). Find k such that -1/2*k**b - 3/2*k - 1 = 0.
-2, -1
Factor 28/17*s + 18/17*s**2 - 48/17 + 2/17*s**3.
2*(s - 1)*(s + 4)*(s + 6)/17
Let p(q) = 5*q**2 + 9*q + 2. Let o be p(-2). Determine a, given that -89*a**3 + 12*a**4 + 72 + 12*a**4 + 206*a**2 + 4*a**5 - 5*a**5 - 8*a**o - 204*a = 0.
1, 2, 6
Let a be (-16)/80*-20*(-2)/(-32). Factor -a - 1/4*c**2 + 1/2*c.
-(c - 1)**2/4
Let k = -99 + 101. Suppose -1 = x - k*h + 1, -2 = -3*x + 2*h. What is u in 0*u - 3*u**x + 0 + 9/2*u**5 + 3*u**4 - 9/2*u**3 = 0?
-1, -2/3, 0, 1
Suppose 4*z = -7*z + 22. Let x be (z/(-8) - (-1)/(-2))*-1. Factor -1/2 + 1/4*b**3 + 0*b**2 - x*b.
(b - 2)*(b + 1)**2/4
Let s(u) = 2*u**2 + 5*u - 24. Let b(p) = p**2 + p. Let m(v) = b(v) + s(v). Determine j so that m(j) = 0.
-4, 2
Factor 0*c**2 + 0*c**3 - 2/5*c**4 + 0 + 0*c.
-2*c**4/5
Let h(m) be the third derivative of m**8/6720 - 11*m**7/2800 - 7*m**6/600 + 19*m**5/60 + 7*m**2. Let a(c) be the third derivative of h(c). Factor a(y).
3*(y - 7)*(5*y + 2)/5
Let n be -1 + -4 - 3225/(-525). Factor 0 - n*d - 4/7*d**2.
-4*d*(d + 2)/7
Suppose 0 = 2*x - 17 - 3. Factor 12*k**2 - 7*k**4 + 21*k + 9*k**4 - 29*k + x*k**3 - 16.
2*(k - 1)*(k + 2)**3
Let n(x) be the first derivative of x**4/24 + x + 13. Let r(q) be the first derivative of n(q). Find j, given that r(j) = 0.
0
Let y(n) = n**2 + 9*n - 133. Let w be y(-17). Solve -4/5*x**4 + 1/5*x**5 + 0*x + 0*x**2 + 0 + 4/5*x**w = 0 for x.
0, 2
Suppose -2*c - 11 = -3*m, 5*m - 12 = 2*c - 3. Let s = c - -31/4. Factor -1/2 - 1/4*i**3 + 0*i**2 + s*i.
-(i - 1)**2*(i + 2)/4
Suppose -4*w - 12 = 0, 0 = 4*d - 2*d - w - 27. Let p(a) = -a + 16. Let c be p(d). Factor u**c - 1/3 - 2/3*u**2 + u - 2/3*u**3 - 1/3*u**5.
-(u - 1)**4*(u + 1)/3
Let b(k) be the second derivative of -k**5/80 + 9*k**4/16 - 9*k**3 + 54*k**2 + 184*k. Determine t so that b(t) = 0.
3, 12
Let u(q) be the first derivative of -q**7/1960 - q**6/210 - 3*q**5/280 - 4*q**3/3 - 2. Let h(c) be the third derivative of u(c). Factor h(r).
-3*r*(r + 