en that -72/5*p**2 + 204/5*p + 4/5*p**3 + 56 = 0.
-1, 5, 14
Let x be 6 + -201 + 14/7. Let l = -190 - x. Factor 0 + 6/7*z**l + 3/7*z**4 - 6/7*z - 3/7*z**2.
3*z*(z - 1)*(z + 1)*(z + 2)/7
Let i = 2585 - 2585. Let t(r) be the third derivative of -2/3*r**3 + i - 40*r**2 + 0*r - 1/4*r**4 - 1/30*r**5. Factor t(k).
-2*(k + 1)*(k + 2)
Let t be (((-14)/(-56))/(7/28))/((-7)/(-14)). Suppose 24/7 + 26/7*k + 2/7*k**t = 0. Calculate k.
-12, -1
Let t(n) be the third derivative of -n**8/840 - 23*n**7/525 - 59*n**6/100 - 171*n**5/50 - 81*n**4/10 + 2*n**2 - 970. Find p, given that t(p) = 0.
-9, -3, -2, 0
Suppose 1 - 7 + 2 = -2*f. Let g(c) be the first derivative of 10/9*c + 6 - 1/18*c**4 + 2/9*c**3 + c**f. Factor g(j).
-2*(j - 5)*(j + 1)**2/9
Suppose 1837 + 1724 = 142*i + 4937 - 1802. Determine g so that 26/3*g**2 + 2/9*g**i + 4394/9 + 338/3*g = 0.
-13
Suppose 4*g - 4 = -5*x - 6, -2*g + 4 = 5*x. Let h be (-1 - -2)/(g/(-12)). What is q in q**5 - 47*q - q**2 - q**3 - h*q**2 - 2*q**3 + q**4 + 45*q = 0?
-1, 0, 2
Factor 2649602 - 23020*w - 17464*w**2 + 8725*w**2 + 8789*w**2.
2*(5*w - 1151)**2
Let j be (-2)/(-6) + 74/(-6). Let p = j + 13. Let n(f) = -f**2 + f. Let h(t) = 20*t**2 - 30*t + 10. Let d(b) = p*h(b) + 5*n(b). Factor d(o).
5*(o - 1)*(3*o - 2)
Let k(h) = -10*h**3 - 79*h**2 + 5*h - 25. Let q be k(-8). Let a be (-377)/(-6670) - q/23. Let 1/10*v**2 + 1/10*v**3 - a*v - 1/10 = 0. What is v?
-1, 1
Determine m, given that -11/3*m**3 + 33*m - 21/2 + 1/2*m**4 - 10/3*m**2 = 0.
-3, 1/3, 3, 7
Let q(w) = 7*w**3 - 71*w**2 - 40 + 50*w - 16*w**3 + 34. Let j(y) = -y**3 + y**2 + 1. Let z = -100 - -106. Let p(g) = z*j(g) + q(g). Factor p(x).
-5*x*(x + 5)*(3*x - 2)
Let f be 1/(-8) + (0 - (-6)/48). Let o(p) be the second derivative of f*p**2 + 1/70*p**5 + 1/105*p**6 - 11*p - 1/21*p**4 + 0*p**3 + 0. Factor o(x).
2*x**2*(x - 1)*(x + 2)/7
Let h(q) be the first derivative of 4*q**5/5 + 363*q**4 + 58564*q**3 + 3543122*q**2 + 1111. Factor h(k).
4*k*(k + 121)**3
Let p(y) be the second derivative of -y**6/960 + 7*y**4/192 + y**3/8 - 12*y**2 - 26*y. Let w(b) be the first derivative of p(b). Determine k so that w(k) = 0.
-2, -1, 3
Let h(m) be the first derivative of m**6/1380 - m**4/92 - 2*m**3/69 + m**2/2 - m + 18. Let u(b) be the second derivative of h(b). Factor u(v).
2*(v - 2)*(v + 1)**2/23
Let b(l) be the first derivative of -l**6/19 + 26*l**5/95 - 7*l**4/19 - 8*l**3/57 + 8*l**2/19 - 237. Let b(f) = 0. What is f?
-2/3, 0, 1, 2
Let m(g) be the third derivative of 2*g**7/105 + g**6/6 - 62*g**5/5 + 138*g**4 - 432*g**3 - 9167*g**2. Find t such that m(t) = 0.
-18, 1, 6
Let r(v) = -106*v**2 + 118*v + 1498. Let h(o) = -32*o**2 + 40*o + 499. Let t(q) = 10*h(q) - 3*r(q). Solve t(y) = 0.
-8, 31
Let m(c) = -c**3 + 40*c**2 + 38*c + 115. Let g be m(41). Let j be 22/24 + (-1 - g)/(-28). Solve -j*y - 2/3*y**2 + 0 = 0.
-1, 0
Let t be 3/(15/(-10)) - -5*1. Solve 5*q**5 + 17*q**3 - 5*q**2 + 5*q**4 + 10*q - 3*q**t - 29*q**3 = 0 for q.
-2, -1, 0, 1
Let k(m) be the second derivative of -1/66*m**4 + 0 - 12/11*m**2 - 227*m + 13/33*m**3. Factor k(y).
-2*(y - 12)*(y - 1)/11
Let g(p) be the second derivative of -p**4/24 + 155*p**3/6 - 24025*p**2/4 + 2*p - 49. Solve g(l) = 0.
155
Let i(l) be the second derivative of -l**6/6 - 11*l**5/2 - 5*l**4/3 + 285*l**3 - 1575*l**2/2 - 2*l - 675. What is y in i(y) = 0?
-21, -5, 1, 3
Let u = -471977 + 475127. Factor u*w - 2475*w**3 - 363/2*w**4 - 15951/2*w**2 - 294.
-3*(w + 7)**2*(11*w - 2)**2/2
Let i be (15/15)/((-3)/12). Let y be i/(-6)*36/57. Factor 8/19*d**3 + y*d + 2/19*d**4 + 2/19 + 12/19*d**2.
2*(d + 1)**4/19
Suppose 3*g - 13 + 7 = 0. Suppose 0 = f - g - 0. Suppose -6*d**f - 12 + 33 + 4*d + 2*d**3 - 21 = 0. Calculate d.
0, 1, 2
Suppose -4*r + l = -10, -r - 2*l + 46 - 48 = 0. Let m = -513/4 + 129. Find a such that -m*a**3 - 3/2*a + 0 - 9/4*a**r = 0.
-2, -1, 0
Let a(d) be the second derivative of -27*d**5/5 - 887*d**4/12 - 61*d**3/2 + 4*d**2 - 1176*d. Let a(w) = 0. What is w?
-8, -1/4, 1/27
Suppose -20*u**2 - 5*u**3 - 769 - 121*u + 789 + 126*u = 0. What is u?
-4, -1, 1
Let w(f) = f**3 - 5*f**2 - 15*f + 3. Let t be w(8). Let q = t + -71. Factor 48*m**3 + 32*m**5 - 17*m**2 - 13*m**2 + 2*m**3 + 24*m**2 - 112*m**q.
2*m**2*(m - 3)*(4*m - 1)**2
Let a be (-903)/(-86) + (-10)/4. What is k in -k**3 + 4*k**3 + a*k**2 + k**3 + 5*k**3 - 11*k**3 = 0?
0, 4
Let r(u) be the second derivative of u**7/189 - 67*u**6/135 + 127*u**5/90 + 199*u**4/54 - 256*u**3/27 - 260*u**2/9 + 1123*u. Solve r(c) = 0 for c.
-1, 2, 65
Let v(b) be the third derivative of -b**7/945 + b**5/45 + 2*b**4/27 + b**3/9 + 4222*b**2. Factor v(a).
-2*(a - 3)*(a + 1)**3/9
Let j(h) = -4*h**3 - 12*h**2 + 49*h - 30. Let t(l) = -l**3 + 2*l. Let q(c) = -j(c) + 3*t(c). Factor q(o).
(o - 2)*(o - 1)*(o + 15)
Let a = -461375 + 922753/2. Determine y, given that -3/2*y**4 + a*y**2 + 0 - 21/2*y**3 + 3/2*y**5 + 9*y = 0.
-2, -1, 0, 1, 3
Let o be (-13 + 1 + 12)/4. Let d(b) be the first derivative of 1/3*b**3 + 1/2*b**2 + o*b - 2. Factor d(j).
j*(j + 1)
Let z(o) be the third derivative of 0*o - 1/1155*o**7 - 49/132*o**4 - 21/110*o**5 - 86*o**2 + 0 - 1/44*o**6 + 0*o**3. Determine s so that z(s) = 0.
-7, -1, 0
Let g = -9821 + 9838. Let m(n) be the third derivative of 13/40*n**6 + 6/35*n**7 + 1/2*n**4 - n**5 + 0*n + 0*n**3 - g*n**2 + 0. Solve m(y) = 0.
-2, 0, 1/4, 2/3
Let w = 1811/66 + -300/11. Let y(o) be the second derivative of 1/20*o**5 - w*o**4 - 12*o + 0 + 0*o**3 + 0*o**2. What is p in y(p) = 0?
0, 2
Let f(o) be the third derivative of -o**6/360 + 29*o**5/60 - 7*o**4/6 - 86*o**3/9 + 2*o**2 - 52*o + 1. Solve f(b) = 0.
-1, 2, 86
Factor 165/4*w**2 - 159/2*w + 157/4 - w**3.
-(w - 1)**2*(4*w - 157)/4
Let x(i) be the second derivative of 20*i**7/21 + 394*i**6/3 + 13065*i**5/2 + 1499875*i**4/12 + 1373125*i**3/6 + 13*i + 103. Factor x(m).
5*m*(m + 1)*(2*m + 65)**3
Let o(c) be the second derivative of 5*c**4/12 - 335*c**3/2 - 505*c**2 - 1760*c. Factor o(q).
5*(q - 202)*(q + 1)
Let q be 3 + (4 - 4 - (0 - -5)). Let w(f) = 14*f**2 + 247*f - 250. Let g(v) = 3*v**2 + 49*v - 50. Let z(x) = q*w(x) + 11*g(x). Solve z(i) = 0 for i.
-10, 1
Let r be 119/3 + 5/15. Suppose j = -7*j + r. Let -18*l**2 + 3*l - j*l + 20*l**2 = 0. What is l?
0, 1
Let y(w) = 107*w + 437. Let n be y(-4). Let h(z) be the first derivative of n*z + 1/3*z**3 + 3*z**2 - 5. Factor h(k).
(k + 3)**2
Determine a so that 491 + 469 + 168*a + 137*a - 965*a**2 - 3891*a**4 - 305*a**3 + 3896*a**4 = 0.
-3, -1, 1, 64
Let r = 10595521/360 + -29432. Let t(c) be the third derivative of 1/18*c**3 + 0*c - 24*c**2 + 1/60*c**5 + 1/24*c**4 + r*c**6 + 0. Factor t(i).
(i + 1)**3/3
Let a(s) = -8*s - s + 7*s - 28. Let g be a(-16). Factor -19*z**g + 4*z**4 + 5*z**4 + 20*z + 5*z**4 - 15*z**3.
-5*z*(z - 1)*(z + 2)**2
Suppose 258 = -2*q + 3*o + 274, -3*o + 14 = 4*q. Find u, given that 12/5*u**3 - 8/15*u**2 - 6/5*u**q + 4/15*u**4 + 4/15 - 6/5*u = 0.
-1, 2/9, 1
Factor -24*y - 117*y**2 - 97*y**3 + 22*y**2 + 114*y + 102*y**3.
5*y*(y - 18)*(y - 1)
Let z(i) be the first derivative of -5*i**4/16 + 17*i**3/3 - 137*i**2/8 - 33*i/2 + 2043. Factor z(f).
-(f - 11)*(f - 3)*(5*f + 2)/4
Let f(l) be the second derivative of l**5/10 - 12*l**4 + 407*l**3 + 2738*l**2 - 1886*l. Factor f(x).
2*(x - 37)**2*(x + 2)
Let y be 215 - -28*8/(-32). Let a = 211 - y. Find p, given that -3/2*p - 5/4*p**2 - 1/4*p**a + 0 = 0.
-3, -2, 0
Let b(c) be the second derivative of 5*c**4/66 - 14*c**3/33 - 87*c**2/11 + 6828*c. Factor b(t).
2*(t + 3)*(5*t - 29)/11
Let d(z) be the second derivative of -2/21*z**4 + 6 - 2/21*z**3 - z + 4/7*z**2 + 1/35*z**5. Solve d(k) = 0.
-1, 1, 2
Let g = 537195 + -1074387/2. Solve 2*r**3 - g*r**4 + 6 + 23/2*r**2 - 22*r = 0.
-3, 1/3, 2
Let n = 96005 - 96001. Factor -2*f**3 + 0*f - 3/2*f**n - 1/2*f**2 + 0.
-f**2*(f + 1)*(3*f + 1)/2
Suppose -42*x + 3 = -41*x. Factor -x*i**4 - 2*i**2 + 0*i**2 - 16*i**2 + 10*i**3 - 14*i**3 - 11*i**3.
-3*i**2*(i + 2)*(i + 3)
Let y = -94 - -131. Let n(s) be the third derivative of 1/120*s**5 - 1/24*s**4 + 0 + 0*s - 1/4*s**3 - y*s**2. Factor n(v).
(v - 3)*(v + 1)/2
Let k(q) be the first derivative of -56/13*q + 11/13*q**2 + 146 - 2/39*q**3. Suppose k(o) = 0. What is o?
4, 7
Let s(v) be the first derivative of 4*v**5/5 + v**4 - 28*v**3/3 - 2*v**2 + 24*v + 906. Determine f, given that s(f) = 0.
-