2*v + 4 = 0. Determine i so that 3 - 9/4*i**p - 3/2*i**3 + 3*i + 3/4*i**4 = 0.
-1, 2
Let g(i) be the second derivative of i**6/180 - 7*i**5/5 + 147*i**4 - 19*i**3/6 - 45*i. Let b(w) be the second derivative of g(w). Factor b(m).
2*(m - 42)**2
Let w(y) be the first derivative of 9/4*y + 11/12*y**3 + 1/16*y**4 + 19/8*y**2 + 86. Determine x so that w(x) = 0.
-9, -1
Suppose -160/7*y**2 + 52/7*y**3 - 4/7*y**4 + 0*y + 0 = 0. Calculate y.
0, 5, 8
Let u(f) be the first derivative of 10*f**3/39 - 492*f**2/13 + 392*f/13 - 7593. Find m, given that u(m) = 0.
2/5, 98
Suppose 18*n - 112 = 2*n. Suppose -n*d - 4*d + 15*d = 0. Factor 2/5*q + d + 2/15*q**2.
2*q*(q + 3)/15
Let s(r) be the first derivative of r**6/720 - r**5/240 - r**4/8 + 112*r**3/3 + 36. Let y(q) be the third derivative of s(q). Factor y(x).
(x - 3)*(x + 2)/2
Determine l so that 818/15*l + 2/15*l**2 + 0 = 0.
-409, 0
Let z(j) be the third derivative of -1/480*j**6 + 0 - 7/12*j**3 + 1/40*j**5 + 3/32*j**4 + j**2 - 49*j. Solve z(w) = 0.
-2, 1, 7
Let x(m) be the second derivative of -2*m**5/35 - 305*m**4/21 - 3344*m**3/3 - 11552*m**2/7 + 2*m + 24. Let x(l) = 0. Calculate l.
-76, -1/2
Let u be ((-2)/4)/((-4)/48). Suppose -5*r + u = -2*r. Factor -10*x + x**r + 6*x**2 + x**2 + 4 - 2*x**3.
-2*(x - 2)*(x - 1)**2
Let m(n) be the third derivative of -n**9/756 - n**8/420 + n**7/210 + n**6/90 - 4*n**3/3 + 18*n**2 + n. Let d(k) be the first derivative of m(k). Factor d(a).
-4*a**2*(a - 1)*(a + 1)**2
Let f = -146 + 148. Factor 30*n - 26*n + 3 + 4*n**3 - 3 - 8*n**f.
4*n*(n - 1)**2
Let r(q) = 18*q + 39. Let k be r(-2). Find c such that 15*c**2 + 68*c**3 - 5*c**4 - 160*c**k + 82*c**3 = 0.
-3, 0, 1
Let m = -7263 - -217891/30. Let s(n) be the third derivative of 0*n + 7/12*n**4 + m*n**5 + 2*n**3 - 7 - 3*n**2. Find g such that s(g) = 0.
-6, -1
Factor 0 + 8/5*i**5 + 26/5*i**2 + 12*i**3 + 0*i + 42/5*i**4.
2*i**2*(i + 1)**2*(4*i + 13)/5
Let n(x) = -5*x**3 + 345*x**2 - 1933*x + 2835. Let g(c) = c. Let b(a) = 2*g(a) - n(a). Determine m, given that b(m) = 0.
3, 63
Let s(m) be the second derivative of m**5/30 + 37*m**4/6 + 1369*m**3/3 + 49*m**2 + 23*m. Let x(i) be the first derivative of s(i). Suppose x(o) = 0. What is o?
-37
Let g(c) be the second derivative of -2*c**7/9 + 34*c**6/15 - 133*c**5/15 + 17*c**4 - 152*c**3/9 + 8*c**2 - 331*c. Determine v so that g(v) = 0.
2/7, 1, 2, 3
Let d(l) be the third derivative of l**7/1120 - l**5/160 + 6*l**3 - 60*l**2. Let u(z) be the first derivative of d(z). Find i, given that u(i) = 0.
-1, 0, 1
Let w = 38371/172674 + 1/172674. Solve -14/9*c - 16/9 + w*c**2 = 0 for c.
-1, 8
Let g = 6432 + -32159/5. Factor -1 - 2*o**3 + g*o**5 + 9/5*o + 3/5*o**4 + 2/5*o**2.
(o - 1)**3*(o + 1)*(o + 5)/5
Let j be 9/15*(23 + 1 + -4). Suppose j*o - 84 - 60 = 0. Factor 47 + 17 + 168*v**2 - 4*v - 167*v**2 - o*v.
(v - 8)**2
Let j(v) be the first derivative of -16805/9*v**3 - 590/3*v**4 + 1475*v**2 - 150 - 16/3*v**5 - 375*v. Determine d, given that j(d) = 0.
-15, 1/4
Let s = -497207/7 + 994435/14. Let q be ((-6)/4)/(1/(-2)). Suppose 15/2*f**2 + s*f**3 - 1/2*f**4 + 17/2*f + q = 0. What is f?
-1, 6
Suppose 10 = 4*z + 14*x + 78, -5*x = -z + 34. Let f(p) be the first derivative of -10*p**2 + 105/4*p**z - 205/3*p**3 + 5 + 20*p. Factor f(l).
5*(l - 2)*(3*l + 1)*(7*l - 2)
Let o(j) = 5*j**3 - 5*j**2 - 5*j. Let r = 135 + -128. Let m(u) = -7*u**2 + 3*u**3 - u - 7*u + 5*u**3. Let i(z) = r*o(z) - 5*m(z). Factor i(n).
-5*n*(n - 1)*(n + 1)
Let t = 203/5 + -604/15. Let d(g) = -2*g**3 - 4*g**2 + 4. Let v be d(-2). What is p in -1/3*p - 4/3*p**2 + 2/3 + 2/3*p**v + 2/3*p**3 - t*p**5 = 0?
-1, 1, 2
Let i(q) be the second derivative of 3*q**5/40 + 145*q**4/8 + 2*q + 157. Let i(c) = 0. What is c?
-145, 0
Let t(s) be the second derivative of 0*s**2 - 1/3*s**4 - 1/63*s**7 + s**3 + 2/15*s**6 + 3 + 6*s - 4/15*s**5. Solve t(n) = 0.
-1, 0, 1, 3
Let f(i) be the second derivative of -i**7/3780 + i**6/540 - i**4 + 2*i**3/3 - 15*i - 3. Let o(c) be the third derivative of f(c). Solve o(b) = 0.
0, 2
Let h(i) be the first derivative of 5*i**4/4 + 1712*i**3/9 + 16321*i**2/2 + 2166*i + 1109. Find d, given that h(d) = 0.
-57, -2/15
Find g, given that -92/3*g**2 - 2/9*g**3 + 278/9*g + 0 = 0.
-139, 0, 1
Let a(i) be the first derivative of -49*i**3/15 + 14*i**2/5 - 4*i/5 - 93. Factor a(y).
-(7*y - 2)**2/5
Let i(j) be the first derivative of j**5/20 - 7*j**4/16 - 7*j**3/6 + 6*j**2 - 784. Factor i(n).
n*(n - 8)*(n - 2)*(n + 3)/4
Let h(v) be the third derivative of -3*v**7/35 + 443*v**6/40 - 407*v**5 - 1369*v**4/8 + 100*v**2 + 5. Factor h(w).
-3*w*(w - 37)**2*(6*w + 1)
Let z be (-8)/(-6)*(-483)/(-14). Suppose -6*r = -92 - z. Factor -h**2 + r*h + 1 + 3 - 20*h.
-(h - 4)*(h + 1)
Let s(y) = -y**3 + y**2. Suppose -6*a - 11 = -5. Let w be s(a). Determine m so that 23*m**3 - 4*m**5 + 3*m**2 - 14*m**3 + 0*m**w - 8*m**5 = 0.
-1/2, 0, 1
Let a(q) be the first derivative of -q**4/10 - 46*q**3/5 + 14*q**2 - 688. Solve a(o) = 0.
-70, 0, 1
Find r, given that -6/7*r**5 + 1242/7*r**2 + 752/7*r + 230/7*r**4 + 894/7*r**3 + 24 = 0.
-1, -2/3, 42
Factor -88/9 - 2/9*f**2 - 16/3*f.
-2*(f + 2)*(f + 22)/9
Determine q so that -416 + 1008*q**3 - 6072 - 28652*q - 7400*q**2 - 6*q**5 - 16956 + 2*q**5 + 32*q**4 + 3164 = 0.
-15, -2, -1, 13
Solve -51/2*b**2 + 0 - 53/2*b**3 + 26*b + 1/2*b**5 + 51/2*b**4 = 0.
-52, -1, 0, 1
Let b(t) be the first derivative of 0*t - t**4 - 8/3*t**3 + 6*t**2 + 97. Find l such that b(l) = 0.
-3, 0, 1
Let z be 15/(-65) + 319/143. Let j(y) = -y**2 - 10*y + 3. Let g be j(-10). Let g*b + 3/8*b**z + 6 = 0. What is b?
-4
Let r = -286071/5 - -57215. What is i in 0*i - 3/5*i**4 - 1/5*i**5 + 0*i**3 + 0 + r*i**2 = 0?
-2, 0, 1
Let f(o) be the second derivative of -o**7/35 - 17*o**6/150 - 3*o**5/20 - o**4/20 + o**3/30 - 1403*o. Solve f(r) = 0 for r.
-1, 0, 1/6
Let c be 0/((2 + -4)/(-1)). Suppose c*g + 35 = 3*g - 4*k, -3*g = 5*k - 17. What is v in -4*v - 20*v**5 - 3*v**3 + g*v**3 + 17*v**5 + v = 0?
-1, 0, 1
Let m(g) be the first derivative of -2028*g**4 - 59800*g**3 - 20619*g**2/2 - 594*g - 3620. Suppose m(v) = 0. Calculate v.
-22, -3/52
Let g(l) = -5*l**2 - 40*l - 328. Let y(n) = n**3 - 19*n**2 - 21*n + 24. Let i be y(20). Let c(k) = 4*k**2 + 39*k + 327. Let s(a) = i*c(a) + 3*g(a). Factor s(x).
(x + 18)**2
Let j = 703 - 701. Factor 64*h**3 - 4*h**4 - 127*h**j + 172*h + 64*h**2 - 58 - 117*h**2 + 2*h**4 + 4*h.
-2*(h - 29)*(h - 1)**3
Let y be (-2)/(-3)*146/12 + -8. Let p(l) be the first derivative of -2/27*l**3 - 2/9*l**2 + y*l**4 - 17 + 2/45*l**5 + 0*l. Factor p(v).
2*v*(v - 1)*(v + 1)*(v + 2)/9
Let h(l) be the first derivative of l**6/480 - 9*l**5/160 + 9*l**4/16 - 109*l**3/3 + 139. Let z(b) be the third derivative of h(b). Factor z(x).
3*(x - 6)*(x - 3)/4
Suppose -5*t + 2*t + 4*o = 10, t = 2*o - 6. Suppose -13*c = -h - 18*c + 19, -t*c + 14 = 2*h. Factor 1/4*i**h + 1/4*i**3 - 5/4*i - 1/2 - 3/4*i**2.
(i - 2)*(i + 1)**3/4
Let m(y) = -y**2 + 29*y + 85. Let u be m(32). Let h be (-19)/u + (9/(-3) - -2). Solve 2*t**3 + h - 48/11*t + 18/11*t**2 = 0.
-2, 2/11, 1
Let l(y) be the first derivative of -y**5/180 - y**4/24 - y**3/9 - 5*y**2/2 - y - 58. Let b(m) be the second derivative of l(m). Factor b(a).
-(a + 1)*(a + 2)/3
Suppose -2165 = 2*q + 3*s, q + 2*s - 728 + 1810 = 0. Let l = -1080 - q. Factor 11/9*w**3 + 1/3*w**2 + 5/9*w**5 + 0*w + 0 + 13/9*w**l.
w**2*(w + 1)**2*(5*w + 3)/9
Let q be (-144008)/1008*-3 + (-10)/105. Let w = 442 - q. Factor 33*u**3 + 3/2*u**5 + 0 + w*u + 36*u**2 + 12*u**4.
3*u*(u + 1)**2*(u + 3)**2/2
Let o(x) be the second derivative of 3*x**5/5 + 4*x**4/3 - 1630*x**3/3 - 544*x**2 + 40*x - 40. Factor o(a).
4*(a - 16)*(a + 17)*(3*a + 1)
Let q(a) be the second derivative of -a**5/20 + 4*a**4 - 96*a**3 + 961*a - 3. Find h, given that q(h) = 0.
0, 24
Let p(q) be the second derivative of 368/5*q**3 + 0 + 576/5*q**2 + 481/30*q**4 - 92*q + 1/75*q**6 - 23/25*q**5. Suppose p(h) = 0. Calculate h.
-1, 24
Suppose 0 = 4*d + 4*o - 28, -5*o = d - o - 22. Factor -3*p - 3454*p**d + 5*p + 3464*p**2.
2*p*(5*p + 1)
Let j(v) be the first derivative of 5*v**4/8 + 137*v**3/6 - 152*v**2 + 314*v - 78. Factor j(w).
(w - 2)**2*(5*w + 157)/2
Let b(h) be the third derivative of -6*h**2 + 1/105*h**7 + 5/3*h**3 + 0 - 1/15*h**6 + 0*h - 1/5*h**5 + 1/3*h**4. Factor b(g).
2*(g - 5)*(g - 1)*