 - 191*a**2 - 6. Solve p(k) = 0.
-30, -2, 0
Suppose -586*x - 2353*x + 5878 = 0. Factor 0 + 2/3*j - 4/3*j**x.
-2*j*(2*j - 1)/3
Let k(x) = -30*x + 55. Let w(t) = -10*t + 2. Let i(l) = 2*k(l) - 4*w(l). Let v be i(5). Factor -2/15*r**5 + 4/15*r**3 + 0 + 0*r**v + 0*r**4 - 2/15*r.
-2*r*(r - 1)**2*(r + 1)**2/15
Let d(a) = -82*a**2 - 49*a - 179. Let g(l) = -131*l**2 - 73*l - 268. Let f(z) = -8*d(z) + 5*g(z). What is o in f(o) = 0?
-23, -4
Let v = -186 + -1059. Let q = v + 8731/7. What is f in -24/7*f + 0 - q*f**2 + 2/7*f**4 + 2/7*f**3 = 0?
-2, 0, 3
Let f be 1/((-2)/(-1)) - 6/12. Factor -2 - 1 + 17 + f - 5*g - g**2.
-(g - 2)*(g + 7)
Solve -14/9*b**5 + 0 + 160/9*b**2 + 404/9*b**3 - 550/9*b**4 + 0*b = 0 for b.
-40, -2/7, 0, 1
Let i(n) be the third derivative of -n**6/1200 + n**5/200 - n**3/15 - 4*n**2 - 57*n. Solve i(y) = 0 for y.
-1, 2
Let n be (21/168)/(-1*4/(-36)*3). Solve -n*y**2 - 45/8 - 6*y = 0 for y.
-15, -1
Determine c so that -178/7 - 180/7*c - 2/7*c**2 = 0.
-89, -1
Let i(h) be the first derivative of h**6/9 - 4*h**5/3 + 14*h**4/3 - 4*h**3/3 - 15*h**2 + 429. Let i(s) = 0. What is s?
-1, 0, 3, 5
Suppose 0 = 5*m - 3*o + 20, 5*o + 2656 - 2700 = 3*m. Factor -54*z**m + 1944*z - 23328 + 1/2*z**3.
(z - 36)**3/2
Let t be (1*(-7)/245)/((-106)/4081)*(-8)/(-22). What is a in -t*a**2 + 136/5 - 134/5*a = 0?
-68, 1
Factor -2556/7*l - 1633284/7 - 1/7*l**2.
-(l + 1278)**2/7
Let a(z) = -11*z**2 + 43*z + 9. Let l(n) = 10*n**2 - 40*n - 8. Let o(p) = 8*a(p) + 9*l(p). Solve o(t) = 0 for t.
0, 8
Let t(w) = -79*w**2 + 293*w - 268. Let a be t(2). Find d, given that -2/15*d**a + 44/15 + 14/5*d = 0.
-1, 22
Determine x so that 17/6*x**3 + 2*x**2 - 13/6*x**4 + 0 + 0*x + 1/3*x**5 = 0.
-1/2, 0, 3, 4
Suppose -31*k = -32*k + 1. Let q be (-693)/(-66) + (-9 - k). Factor -y - q*y**2 - 1/2.
-(y + 1)**2/2
Determine b so that 4*b**2 - 40/3*b + 1/2*b**3 - 1/6*b**4 + 0 = 0.
-5, 0, 4
What is r in 2/15*r**3 + 137200000/3 + 196000*r + 280*r**2 = 0?
-700
Let s(o) be the second derivative of 5*o**4/12 + 2075*o**3/6 + 1035*o**2 - 1475*o + 6. What is m in s(m) = 0?
-414, -1
Let l(f) be the first derivative of -f**5/150 + 13*f**4/60 - f**2 + 22*f + 79. Let x(g) be the second derivative of l(g). Factor x(p).
-2*p*(p - 13)/5
Let n = -128659 - -1157932/9. Let 2/9*s**2 - 2/9*s**4 + 0 + 0*s**3 + n*s - 1/9*s**5 = 0. Calculate s.
-1, 0, 1
Let o(t) be the first derivative of -3*t**4/28 - 71*t**3/7 + 1359*t**2/14 - 297*t + 1606. What is w in o(w) = 0?
-77, 3
Let k(i) = -2*i. Let z be k(1). Let b(q) = -q**2 - q + 2. Let w(p) = 4*p**2 + 5*p - 8. Let v(m) = z*w(m) - 9*b(m). Let v(t) = 0. Calculate t.
-1, 2
Let r(a) be the second derivative of -15*a**4 + 98/15*a**6 + 56/3*a**3 + 6*a - 28/5*a**5 - 8*a**2 - 7. Let r(v) = 0. What is v?
-1, 2/7, 1
Let u(d) = 744*d - 11160. Let x be u(15). Let -1/5*m**3 + x + 2/5*m**2 - 4/5*m**4 + 0*m + 3/5*m**5 = 0. Calculate m.
-2/3, 0, 1
Let a = -40291 + 40293. Factor -2/15*w**4 + 0 + 0*w**a + 2/5*w**3 - 8/15*w.
-2*w*(w - 2)**2*(w + 1)/15
Let j = -2/596979 + 198995/596979. Solve 1 + j*h**3 + 7/3*h + 5/3*h**2 = 0.
-3, -1
Let p(u) be the first derivative of -u**5/270 - u**4/12 + 10*u**3/27 - 30*u**2 - u + 22. Let a(s) be the second derivative of p(s). What is h in a(h) = 0?
-10, 1
Let j be (-72)/288 - ((-322)/(-8))/(-1). Suppose 21*h = 41*h - j. Find v, given that -5/3*v**4 + 10/3*v**3 + 5/3*v**h + 0 - 10/3*v = 0.
-1, 0, 1, 2
Factor -245*l - 222*l - 360*l + 6302*l**2 - 6293*l**2 + 161*l + 3*l**3 - 672.
3*(l - 14)*(l + 1)*(l + 16)
Let s(v) = v**2 - 207*v - 206. Let m be s(208). Solve 256/7*d + 16/7*d**4 - 44/7*d**3 - 128/7 + 4/7*d**5 - 104/7*d**m = 0 for d.
-4, 1, 2
Let f(v) = -5*v**3 + 290*v**2 + 909*v + 126. Let n(j) = -5*j**3 + 290*j**2 + 911*j + 84. Let h(l) = 2*f(l) - 3*n(l). Factor h(t).
5*t*(t - 61)*(t + 3)
Let l be (66 + -49 - 14)*(-12)/(-5). Factor 0*r + 1/5*r**4 + l*r**2 + 0 + 12/5*r**3.
r**2*(r + 6)**2/5
Suppose -5*n - 57 = -137. Factor 4 - 16*m**2 + 10*m**2 - n*m**2 - 30*m**2 + 68*m - 20.
-4*(m - 1)*(13*m - 4)
Factor 1/5*h**4 + 0 + 253/5*h**2 + 726/5*h + 28/5*h**3.
h*(h + 6)*(h + 11)**2/5
Suppose 0 = -2*s, 3*s - 3 = -n - 1. Suppose -c + n*g = -4*c + 8, 3*c - 18 = 3*g. Factor c*z**3 - 2*z**2 + 6 - 4*z - 2*z**2 - 2.
4*(z - 1)**2*(z + 1)
Let l(b) be the first derivative of b**3/5 - 141*b**2/10 + 101. Factor l(a).
3*a*(a - 47)/5
Let a = 157517 + -1102610/7. Factor 0 + 12/7*f**2 - 3/7*f**3 - a*f.
-3*f*(f - 3)*(f - 1)/7
Let j(r) = r**2 - 193*r + 9314. Let f be j(97). Solve 45/4*m + 3/2 + 21/4*m**f = 0 for m.
-2, -1/7
Let b = -43661 + 305629/7. Factor -1/7*a - 1/7*a**3 + 0 - b*a**2.
-a*(a + 1)**2/7
Let j(m) be the third derivative of m**5/12 - 4455*m**4/4 + 11908215*m**3/2 + 30*m**2 + 82*m. Solve j(z) = 0 for z.
2673
Let w(h) be the second derivative of h**7/70 + 41*h**6/50 + 897*h**5/100 - 529*h**4/4 - 303*h - 1. Factor w(j).
3*j**2*(j - 5)*(j + 23)**2/5
Let c(w) be the second derivative of -6 - 34*w**2 + 12*w**3 - 1/3*w**4 - 8*w. Factor c(j).
-4*(j - 17)*(j - 1)
Let i be (6/15 - (-2)/(-5))/(5172/(-1293)). Factor i*r + 0 + 1/7*r**2.
r**2/7
Factor -8 + 4/3*f**4 + f**3 + 52/3*f - 1/3*f**5 - 34/3*f**2.
-(f - 2)**3*(f - 1)*(f + 3)/3
Let s(l) be the third derivative of l**6/300 - 8*l**5/75 + 3*l**4/4 + 54*l**3/5 + 26*l**2 + 65. Let s(k) = 0. What is k?
-2, 9
Factor 162 - 323*x**2 + 951*x + 183*x**2 + 155*x**2 + 96 + 120.
3*(x + 63)*(5*x + 2)
Determine x, given that 212/5*x**4 + 21/5*x**5 - 253/5*x**3 - 44/5*x + 0 - 488/5*x**2 = 0.
-11, -1, -2/21, 0, 2
Suppose 5*r = -2*d + 39, 0*r + 2*r + 3*d - 9 = 0. Suppose 16*q - 57 = -r. Suppose 27/5*m**q + 6/5 + 9*m**2 + 29/5*m + m**4 = 0. What is m?
-3, -1, -2/5
Let p(h) be the first derivative of 14*h**5/3 + 9*h**4/2 + 8*h**3/9 - 741. What is b in p(b) = 0?
-4/7, -1/5, 0
Let v(f) be the first derivative of -2*f**5/45 + 5*f**4/6 - 110*f**3/27 - 5*f**2/3 + 112*f/9 + 2304. Determine q, given that v(q) = 0.
-1, 1, 7, 8
Factor -1/5*m + 1/5*m**3 - 8/5*m**2 + 8/5.
(m - 8)*(m - 1)*(m + 1)/5
Let i(s) be the third derivative of s + 0*s**3 + 1/5*s**5 + 7/15*s**6 + 11/42*s**7 + 0 + 0*s**4 - 18*s**2 - 25/336*s**8. Factor i(z).
-z**2*(z - 3)*(5*z + 2)**2
Let y(w) be the second derivative of 5*w**7/42 + 9*w**6/2 + 54*w**5 + 180*w**4 - 1272*w. Factor y(p).
5*p**2*(p + 3)*(p + 12)**2
Let s(c) be the first derivative of -c**3/4 - 459*c**2/2 - 70227*c + 1017. What is j in s(j) = 0?
-306
Let m = -188896/3 - -62967. Factor 7/3*f + m*f**3 - 2/3 - 3*f**2 - 1/3*f**4.
-(f - 2)*(f - 1)**3/3
Let g be ((-7)/(-14) - 0)/(1/2). Let n be (((-28)/(-21))/g)/(10/15). Factor -n*t + 0 + 3/2*t**3 + 2*t**2 + 1/2*t**5 - 2*t**4.
t*(t - 2)**2*(t - 1)*(t + 1)/2
Let q(y) be the second derivative of -y**6/150 - 17*y**5/50 - 31*y**4/20 - 1080*y. What is g in q(g) = 0?
-31, -3, 0
Let z(r) be the second derivative of -8/21*r**3 + 48/7*r**2 - 227*r + 0 + 1/70*r**5 - 5/42*r**4. Suppose z(u) = 0. What is u?
-3, 4
Let h(z) = 2*z - 2. Let t(y) = -8*y + 8. Let v(r) = 10*h(r) + 3*t(r). Let s be v(1). Determine g so that 0*g**3 + g + 1/2*g**4 - 3/2*g**2 + s = 0.
-2, 0, 1
Let a(b) = 5*b**2 - 30*b - 86. Let w(h) be the second derivative of -5*h**4/12 + 5*h**3 + 85*h**2/2 + 63*h. Let t(n) = -5*a(n) - 6*w(n). Factor t(u).
5*(u - 8)*(u + 2)
Solve 2/13*s**3 + 222/13 + 446/13*s + 226/13*s**2 = 0.
-111, -1
Let b = -9176 - -45886/5. Let l(t) be the first derivative of -9/4*t**4 - 3/4*t**2 - 40 - 2*t**3 + 0*t - b*t**5 - 1/4*t**6. Factor l(x).
-3*x*(x + 1)**4/2
Let o(y) be the second derivative of y**7/210 - 4*y**6/15 + 101*y**5/20 - 215*y**4/6 + 374*y**3/3 - 1156*y**2/5 - 2842*y. Determine k, given that o(k) = 0.
2, 17
Let z(o) be the second derivative of 0 - 4*o**5 + 0*o**2 + 0*o**3 - 8*o - 5/42*o**7 - 5*o**4 - 7/6*o**6. Factor z(v).
-5*v**2*(v + 2)**2*(v + 3)
Let d(v) be the first derivative of 1/2*v**3 - 3/20*v**5 + 1/30*v**6 + 6 - v**2 + 1/12*v**4 - 13*v. Let b(g) be the first derivative of d(g). Factor b(u).
(u - 2)*(u - 1)**2*(u + 1)
Let z = -6239/10 - -624. Let c(p) be the first derivative of 1/5*p + 1/25*p**5 - 1/10*p**2 - 2/15*p**3 + z*p**4 - 1/30*p**6 - 16. Factor c(r).
-(r - 1)**3*(r + 1)**2/5
Let d = 1057 + -1055. Let r = 359/7 + -51. Find t such that 2/7*t**4 - 2/7*t**d + 0 - 2/7*t + r*t**3 = 0.
-1, 0, 1
Let i be ((-53298)/315 - 3/5)/(-1). Let j = i + -2447/15. Factor -j*x - 50/3 - 2