**2 = 0?
-1, 0, 1/4
Factor 0 - 1952/5*w**2 + 112*w - 28/5*w**3.
-4*w*(w + 70)*(7*w - 2)/5
Let n(b) = -29*b**3 - 11*b**2 + 17*b - 10. Let q(u) = -68*u**3 - 23*u**2 + 33*u - 18. Let d(w) = 7*n(w) - 3*q(w). Suppose d(p) = 0. Calculate p.
2, 4
Let h(j) = 4*j**2 + 22*j + 24. Let c(s) = 7*s**2 + 45*s + 48. Suppose -2*w = -3*o + 21, 0 = -3*w - o - 14 + 10. Let v(q) = w*c(q) + 5*h(q). Factor v(g).
-(g + 1)*(g + 24)
Let u be 6/(1 - 19)*3/(-6). Let j(n) be the first derivative of -u*n**3 - 10 + 0*n - 1/4*n**2. Factor j(z).
-z*(z + 1)/2
Suppose 1539*p + 1215 - 33*p**4 + 6*p**5 + 823*p**3 - 503*p**3 - 3*p**5 - 518*p**3 - 45*p**2 + 207*p**2 = 0. What is p?
-3, -1, 3, 15
Factor -2/3*q**4 + 0 - 14*q**2 + 12*q + 16/3*q**3.
-2*q*(q - 3)**2*(q - 2)/3
Let x be (18 - 14196/882) + 2/21. Factor -29/2*s + s**x + 7.
(s - 14)*(2*s - 1)/2
Let o(u) be the first derivative of 5*u**3/3 + 1465*u**2/2 + 2910*u - 9214. Factor o(k).
5*(k + 2)*(k + 291)
Let i(u) = -u**3 - 2*u**2 + 35*u + 2. Let n(o) = -58*o**3 + 98*o**3 - 35*o - 39*o**3 + 2*o**2 - 3. Let x(r) = 3*i(r) + 2*n(r). Factor x(w).
-w*(w - 5)*(w + 7)
Let g = -3113/12 + 259. Let j = g + 7/6. Factor j + 1/4*x**2 - x.
(x - 3)*(x - 1)/4
Let u(a) = 2*a**3 - 3*a. Let p(i) = -4*i**3 - 48*i**2 + 225*i. Let x(m) = p(m) + 3*u(m). Factor x(l).
2*l*(l - 18)*(l - 6)
Let d(s) be the third derivative of 1/105*s**7 - 1/20*s**6 - 328*s**2 + 0*s + 0*s**3 + 1/3*s**4 + 0 + 0*s**5. Find v such that d(v) = 0.
-1, 0, 2
Let z be (-32 + 15)/(2/(-4)). Let s = -30 + z. Let 0*g**3 + 48*g**4 + g**3 - 49*g**s = 0. What is g?
0, 1
Let w(c) be the third derivative of 2*c**5/15 - 319*c**4/6 + 106*c**3 + 623*c**2. Factor w(r).
4*(r - 159)*(2*r - 1)
Determine y so that -19994/19*y**3 + 396/19*y**4 + 38808/19*y**2 - 19208/19*y + 0 - 2/19*y**5 = 0.
0, 1, 98
Let b = -304073 - -912223/3. Suppose b*r**2 + 1/3*r - 2/3 - r**3 = 0. Calculate r.
-2/3, 1
Let f(p) be the third derivative of 2*p**7/525 + p**6/30 - p**5/15 - 3*p**4/2 - 24*p**3/5 + 17*p**2 - 2*p + 67. Solve f(a) = 0 for a.
-4, -3, -1, 3
What is n in -80960/7*n + 8/21*n**4 - 2126/21*n**3 - 23232/7 + 143084/21*n**2 = 0?
-1/4, 2, 132
Factor -51/2*c - 3/2*c**2 + 90.
-3*(c - 3)*(c + 20)/2
Let i be (9 - (5 - (-7 + 3)))*2/2. Let f(a) be the second derivative of 1/15*a**5 - 2/45*a**6 + 4/3*a**2 + 1/3*a**4 + i + 5*a - 10/9*a**3. Factor f(b).
-4*(b - 1)**3*(b + 2)/3
Let b(x) be the second derivative of x**4/42 - 18*x**3/7 - 295*x**2/7 + x + 2315. Factor b(p).
2*(p - 59)*(p + 5)/7
Let p(r) be the first derivative of -r**3 - 39*r**2 - 144*r - 1361. Factor p(w).
-3*(w + 2)*(w + 24)
Find r such that -61/10*r + 1/10*r**2 - 276/5 = 0.
-8, 69
Let n = 1321994/5 - 264362. Solve 316/5*q**3 + 46/5*q + 14*q**5 + n*q**2 + 244/5*q**4 + 4/5 = 0.
-1, -2/7, -1/5
Suppose -6*x + x - 6 = 4*c, 5*x - 18 = 2*c. Factor 9*m + x*m**2 - m + 2*m**3 - 4*m - 8*m**2.
2*m*(m - 2)*(m - 1)
Let c(p) be the third derivative of p**6/60 + p**5 + 107*p**4/12 + 26*p**3 + 399*p**2 - 1. Factor c(y).
2*(y + 1)*(y + 3)*(y + 26)
Determine j so that 1/5*j**3 - 1/5*j - 7*j**2 + 0 + 7*j**4 = 0.
-1, -1/35, 0, 1
Let t be 836/1254 - (-2)/44*-14. Let b(a) be the second derivative of -2/11*a**2 + 0 + 1/66*a**4 + 10*a - t*a**3. Suppose b(c) = 0. What is c?
-1, 2
Let b(w) = 53*w - 262. Let l be b(5). Let j(p) be the second derivative of 0 + 1/20*p**5 + 7*p + 0*p**2 + 1/6*p**l + 1/6*p**4. Factor j(s).
s*(s + 1)**2
Let p(y) be the first derivative of -y**6/960 + y**5/80 - 11*y**4/192 + y**3/8 + 57*y**2/2 + 14. Let v(i) be the second derivative of p(i). Factor v(f).
-(f - 3)*(f - 2)*(f - 1)/8
Let z = 160066/120051 - -2/120051. Determine p so that 0 - 4/3*p + z*p**2 - 1/3*p**3 = 0.
0, 2
Let h(y) be the first derivative of 1/10*y**5 + 5/4*y**2 - 11 - 5/8*y**4 + 3*y - 7/6*y**3. Factor h(i).
(i - 6)*(i - 1)*(i + 1)**2/2
Suppose 54 + 748840*i**3 + 41*i**4 - 748845*i + 5*i**5 - 54 - 3870*i**2 + 2019*i**4 + 1810*i**4 = 0. What is i?
-387, -1, 0, 1
Let a(l) be the third derivative of 1/336*l**8 - l + 0*l**5 + 0 - 151*l**2 + 0*l**4 - 1/70*l**7 + 0*l**3 - 1/12*l**6. Factor a(m).
m**3*(m - 5)*(m + 2)
Let t(g) be the first derivative of g**7/2100 + g**6/600 - g**4/120 - 56*g**3/3 + 69. Let v(p) be the third derivative of t(p). Factor v(y).
(y + 1)**2*(2*y - 1)/5
Let o(k) be the third derivative of 1/3*k**5 + 219*k + k**2 + 0*k**3 + 13/9*k**4 + 1/90*k**6 + 0. Factor o(d).
4*d*(d + 2)*(d + 13)/3
Let h(c) = -4*c**2 + 388*c + 747. Let p(i) = -6*i**2 + 582*i + 1118. Let q(g) = 14*h(g) - 9*p(g). Solve q(b) = 0.
-2, 99
Let g(y) = 3*y**3 - 2*y**2 + 2*y + 4. Let o(m) = 10*m**3 - 8*m**2 - 60*m + 72. Let v(z) = -2*g(z) + o(z). Let v(r) = 0. What is r?
-4, 1, 4
Let i be 13/(351/(-12))*(-1)/4. What is f in -2/3*f**2 + 7/9*f - i*f**3 + 0 = 0?
-7, 0, 1
Let q = 23941/42 + -570. Let x(n) be the third derivative of 0*n - q*n**4 + 1/210*n**5 + 3*n**2 + 1/140*n**6 + 0 + 0*n**3. Factor x(w).
2*w*(w + 1)*(3*w - 2)/7
Find p such that -1600*p**3 + 1827*p**2 - 595*p**4 - 72*p**2 + 5*p**5 + 2755*p**3 = 0.
-1, 0, 3, 117
Let f(h) = -14*h**3 - 53*h**2 + 898*h - 4851. Let g(u) = -3*u**3 - u. Let r(s) = f(s) - 5*g(s). Factor r(b).
(b - 21)**2*(b - 11)
Let f(a) = -4*a**3 - a**2 - 10. Let y be f(-4). Let d = y + -230. Factor -11/5*r**4 + 3*r**5 + d*r**2 + 0*r + 2/5*r**3 + 0.
r**3*(3*r - 1)*(5*r - 2)/5
Let z(l) be the first derivative of 2*l**7/21 - 2*l**6/5 - l**5/5 + l**4 + 53*l + 73. Let a(q) be the first derivative of z(q). What is b in a(b) = 0?
-1, 0, 1, 3
Suppose -9*x - 29 = -14*x - 2*d, 5*x - 36 = -3*d. Let h(q) be the first derivative of -3/7*q**2 + 0*q + 1/14*q**4 - 4/21*q**x + 22. Find g, given that h(g) = 0.
-1, 0, 3
Let g(y) = -145*y**3 - 9788*y**2 - 5556*y - 794. Let c(l) = -1014*l**3 - 68517*l**2 - 38892*l - 5559. Let h(k) = -2*c(k) + 15*g(k). Factor h(v).
-3*(v + 66)*(7*v + 2)**2
Let t be 32/56 - 128/28. Let i(a) = 2*a**5 - 7*a**4 + 38*a**3 - 11*a**2. Let w(z) = z**5 - 2*z**4 + 13*z**3 - 4*z**2. Let q(n) = t*i(n) + 11*w(n). Factor q(x).
3*x**3*(x - 1)*(x + 3)
Let y be 2*2/(-18) + 29/(14616/328). Factor -9/7*q + y - 3/7*q**3 + 9/7*q**2.
-3*(q - 1)**3/7
Let g(s) = s**3 + 10*s**2 - 20*s - 49. Let u be g(-11). What is p in -u*p**2 + 45*p - 79*p + 20*p**4 + 34*p + 195*p**3 = 0?
-10, 0, 1/4
Solve 25/4*f**5 + 0 - 5/4*f**4 - 63/2*f**3 + 32*f + 8*f**2 = 0 for f.
-2, -1, 0, 8/5
Let g(b) be the second derivative of 3*b**4/20 - b**3/2 - 3*b**2/5 + b - 217. Suppose g(i) = 0. Calculate i.
-1/3, 2
Let z be (-2)/(1 + 0 + -2). Suppose -4*a + 1 = 3*g, 5*g - 3*a - 19 - 2 = 0. What is s in 2*s**z - s**3 - 7*s**2 + 4*s - 3*s**2 + 5*s**g = 0?
0, 1
Let r be ((-17)/85 + (-142)/(-10))*15. Suppose 30*a = 24*a + r. Factor 192 + 65*k**2 + 139*k + a*k**2 - 25*k**2 + 101*k.
3*(5*k + 8)**2
Find f such that -200/3*f + 2/3*f**2 + 0 = 0.
0, 100
Let g(k) = 4*k**2 - 7*k + 11. Let v(m) = 2*m**2 - 4*m + 6. Let p be -13*(-2)/4*(2 - 0). Let a(x) = p*v(x) - 6*g(x). Factor a(l).
2*(l - 3)*(l - 2)
Let o(z) = -z**3 - 4*z**2 + 5*z + 6. Let h be o(-5). Let d be 758/120 + 182/2184. Suppose 18/5*k**3 + h*k**2 - d - 16/5*k = 0. Calculate k.
-4/3, 1
Let t(l) be the first derivative of -l**7/448 - l**6/320 + 35*l**3/3 + 96. Let x(b) be the third derivative of t(b). Solve x(r) = 0 for r.
-3/5, 0
Factor -1385*w**2 + 2700 + 40*w**2 + 32144*w - 30784*w - 5*w**3.
-5*(w - 2)*(w + 1)*(w + 270)
Let o(t) be the first derivative of 2/3*t**3 + 3/4*t**4 + 31 + 1/5*t**5 + 0*t + 0*t**2. Solve o(k) = 0.
-2, -1, 0
Let s(q) = -q**2 + 15*q + 2. Let x be s(15). Suppose -1500*k + 8 - 2*k**x + 1500*k = 0. Calculate k.
-2, 2
Determine k so that 147*k**2 + 867/5*k + 42 - 9/5*k**4 + 69/5*k**3 = 0.
-5, -1, -1/3, 14
Let x(h) be the third derivative of -h**6/180 + 34*h**5/9 + 683*h**4/36 + 38*h**3 + 126*h**2 - 1. Find v, given that x(v) = 0.
-1, 342
Let m(f) be the third derivative of -f**5/210 + 2*f**4/21 + 16*f**3/7 - 136*f**2 + 2. Factor m(t).
-2*(t - 12)*(t + 4)/7
Let s be -1 - 28/6*(836/(-77) + 10). Let z(x) be the first derivative of -1029*x**2 + 3/10*x**5 + 11 + 7203/2*x - 21/2*x**4 + 147*x**s. Factor z(i).
3*(i - 7)**4/2
Let g be (-2)/4*12 + 34/(-10)*-2. Let i = -1/808 - -6469/4040. Factor -g*y**3 - 8/5*y**2 + i + 4/5*y.
-4*(y - 1)*(y + 1)*(y + 2)/5
Suppose -5701 + 87511 = 9*c. Determine b, given that 9079*b - b**3 + 9*b**2 - 3*b**2 - c*b + 6 = 0.
1, 2, 3
Let