)/3
Let x(y) = -4*y**2 + 8980*y - 8960. Let z(c) = -2*c**2 + 5985*c - 5973. Let s(m) = 5*x(m) - 8*z(m). Let s(w) = 0. What is w?
-746, 1
Let m be -11*-1*(0 + 1). Let b(j) be the first derivative of 3*j**3 + j**2/2 - 21*j - 50. Let o(r) = 5*r**2 - 11. Let c(w) = m*o(w) - 6*b(w). Factor c(f).
(f - 5)*(f - 1)
Suppose -50/3*l + 104 + 2/3*l**2 = 0. What is l?
12, 13
Let f = 392521 - 392521. Suppose f + 9/5*i + 0*i**2 - 1/5*i**3 = 0. What is i?
-3, 0, 3
Factor 163*x**3 + 158*x**3 + 861 + 2548 + 241 - 710*x**2 + 2945*x - 326*x**3.
-5*(x - 5)*(x + 1)*(x + 146)
Let z(p) be the second derivative of -p**6/90 - 3*p**5/20 + 67*p**4/36 - 17*p**3/6 - 21*p**2 + 514*p - 2. Let z(f) = 0. What is f?
-14, -1, 3
Determine j, given that 8*j**3 - 28*j - 4/3*j**5 - 4*j**4 + 40/3*j**2 + 12 = 0.
-3, 1
Let b = -206 - -200. Let n be (8/b)/(2*(-169)/156). Factor n - 14/13*f + 2/13*f**3 + 4/13*f**2.
2*(f - 1)**2*(f + 4)/13
Let w(s) = -s**3 + 6*s**2 + 12*s + 34. Let u be w(8). Solve 0*y**u - 4*y**2 + 3*y**2 - 3*y**2 - 1145 - 619 + 168*y = 0.
21
Let s(v) be the second derivative of v**6/300 + 2*v**5/75 + v**4/20 - 183*v**2/2 - 77*v. Let p(u) be the first derivative of s(u). Factor p(b).
2*b*(b + 1)*(b + 3)/5
Suppose 22*b = -48 - 18. Let u be 0*b/6 - 4/(-8). Factor -9/2 - u*c**2 + 3*c.
-(c - 3)**2/2
Let h(r) be the third derivative of 4/9*r**5 + 0*r + 0*r**3 - 121/315*r**7 + 0 + 77/180*r**6 + 1/9*r**4 - 81*r**2. Let h(c) = 0. Calculate c.
-2/11, 0, 1
Let m(j) be the third derivative of 0*j**4 - 3/20*j**5 + 0*j**3 - j**2 - 9*j + 1/40*j**6 + 0. Factor m(p).
3*p**2*(p - 3)
Let f(n) be the first derivative of 92/15*n**3 + 4/5*n + 23/15*n**6 + 2/5*n**4 + 175 - 27/5*n**2 - 96/25*n**5. Suppose f(l) = 0. What is l?
-1, 2/23, 1
Let l(k) be the second derivative of -k**5/70 - 5*k**4/42 + 6*k**3/7 + 72*k**2/7 + 1767*k. Find x, given that l(x) = 0.
-6, -3, 4
Let 5/2*p**4 + 17/4*p**3 + 1/4*p**5 + 0 + 0*p - 7*p**2 = 0. What is p?
-7, -4, 0, 1
Let u(w) = 7*w**2 + 4*w + 2. Let g be u(-1). Suppose g*z + 6*z - 33 = 0. Let 10*i + 10 - 5*i - 4*i**2 + z*i**2 - 4*i**2 = 0. What is i?
-1, 2
Let z(m) = -14*m**2 - 1345*m + 549. Let r(f) = -39*f**2 - 4036*f + 1644. Let q(w) = -3*r(w) + 8*z(w). What is v in q(v) = 0?
-270, 2/5
Let u(x) = -3*x**2 - 90*x + 95. Let j be u(-31). Let 15 - 18136*g + 21 + 4*g**j + 18176*g = 0. What is g?
-9, -1
Let h(g) = -70*g**4 + 2030*g**3 + 4215*g**2 + 2115*g - 165. Let k(s) = 5*s**4 - 145*s**3 - 301*s**2 - 151*s + 12. Let o(y) = 4*h(y) + 55*k(y). Factor o(m).
-5*m*(m - 31)*(m + 1)**2
Suppose 38*c + 2944 + 286 = 0. Let f be (-20)/(-2) - (-77 - c). What is z in 38/11*z**3 - f*z**2 - 26/11*z**4 + 4/11*z + 6/11*z**5 + 0 = 0?
0, 1/3, 1, 2
Let q(c) be the second derivative of -3*c**5/40 - 107*c**4/4 - 2915*c**3 - 16854*c**2 - 228*c + 1. Factor q(z).
-3*(z + 2)*(z + 106)**2/2
Let m(s) = -25*s + 85. Let j(f) = -2*f**2 + 54*f - f**2 + 4*f**2 - 53*f + 4 - 3. Let r(y) = 5*j(y) - m(y). Suppose r(v) = 0. Calculate v.
-8, 2
Let -10/3*v**2 + 40/3 - 2/9*v**3 - 88/9*v = 0. Calculate v.
-10, -6, 1
Let c(x) = -16*x - 3. Let v be c(-2). Let n(s) = 5*s**2 + 6*s + 5. Let h be n(-2). Factor v - h + 42*b - 11 - 12*b - 35*b**2.
-5*(b - 1)*(7*b + 1)
Let j(x) be the first derivative of 3*x**4/8 + 37*x**3/4 + 135*x**2/2 + 243*x/4 + 321. Find y such that j(y) = 0.
-9, -1/2
Let u(x) be the first derivative of 0*x**2 - 17/12*x**4 - 1/3*x**3 + 4 - 14*x. Let y(a) be the first derivative of u(a). Factor y(w).
-w*(17*w + 2)
Let g(z) = -8*z**3 - 15*z**2 - 23*z - 5. Suppose 0*t - 10 = 2*t. Let d(x) = 7*x**3 + 15*x**2 + 22*x + 4. Let m(p) = t*d(p) - 4*g(p). Solve m(f) = 0.
-3, -2, 0
Let i(h) = 220*h**2 - 230*h. Let l(v) = 3*v - 152. Let y be l(51). Let r(m) = -m - 4. Let f(s) = y*i(s) - 2*r(s). Solve f(a) = 0 for a.
2/55, 1
Let n(w) = -6 + 5*w**2 - 5 - w + 4 + 3*w. Let h(i) = 1 - 8*i**2 + 34*i**2 - 14*i**2 - 13*i**2. Let f(d) = -6*h(d) - 2*n(d). Determine m, given that f(m) = 0.
-2, 1
Suppose 0 = -5*f - 8 + 23. Let j be -10*((-3)/(-9))/((-2)/f). Determine h, given that -11 - j + h - 11*h**2 + 10*h**2 + 7*h = 0.
4
Let m = -694581 + 694585. Suppose -3/4*g**2 - 47/4*g + g**4 + 16*g**3 + m = 0. What is g?
-16, -1, 1/2
Let l be (-2)/(-3)*6 + -4. Let g be 3*(l - (-24)/9 - 2). What is s in -9*s**4 + 3*s**3 + 48*s**2 + 9*s**3 - 48 - s**5 - g*s**5 + 0*s**5 = 0?
-2, 1, 2
Let v(u) be the first derivative of 4*u**2 - 14/3*u**3 - u**5 + 3*u**4 + 14 + 2/15*u**6 - u. Let k(c) be the first derivative of v(c). Factor k(h).
4*(h - 2)*(h - 1)**3
Let g(x) be the first derivative of -x**4/114 + 58*x**3/57 - 841*x**2/19 + 143*x + 82. Let l(m) be the first derivative of g(m). Solve l(a) = 0.
29
Let x(j) = 742*j - 5192. Let m be x(7). Let -294 + 28*v - 2/3*v**m = 0. What is v?
21
Suppose 12*h + 127 = 187. Factor -3*m + h*m**2 - 1 - 9 + m**2 + 7*m**3 - 17*m**3 + 9*m**3.
-(m - 5)*(m - 2)*(m + 1)
Let u be (-1)/2*(-104 - (3 + -17)). Suppose 39*p + u*p - 20664 = 0. Determine o, given that 3 - 147/2*o + p*o**2 = 0.
2/41, 1/4
Find i, given that -101672*i - 7160/3*i**3 + 260588/3*i**2 + 30246 + 50/3*i**4 = 0.
3/5, 71
Let r(f) be the third derivative of f**8/20160 - f**7/315 + f**5/30 - 5*f**3/6 - 2*f**2 + 27*f. Let s(o) be the third derivative of r(o). Factor s(z).
z*(z - 16)
Suppose -34 = 22*x + 45 - 145. Let p(b) be the second derivative of b**x + 1/2*b**4 + 1/10*b**5 + 19*b + 0 + b**2. Suppose p(r) = 0. What is r?
-1
Let w(m) be the second derivative of -67/18*m**4 - 31/15*m**6 - 2 - 3/7*m**7 - 71/18*m**5 - 16/9*m**3 - 4/9*m**2 + 31*m. Determine b, given that w(b) = 0.
-1, -2/9
Let l(s) = s**4 + 83*s**3 - 117*s**2 - 11*s - 22. Let h(v) = -3*v**3 - v - 2. Let b(r) = 44*h(r) - 4*l(r). Factor b(g).
-4*g**2*(g - 1)*(g + 117)
Factor 65343*r**4 - 16*r**3 - 90*r + r**3 - 145*r**2 - 65298*r**4 + 0*r**5 + 5*r**5.
5*r*(r - 2)*(r + 1)**2*(r + 9)
Let b(s) be the second derivative of s**5/150 - 29*s**4/90 + 28*s**3/45 - 796*s. Find r, given that b(r) = 0.
0, 1, 28
Let l(g) be the second derivative of g**6/1440 - 41*g**5/480 - 7*g**4/16 - 2*g**3/3 - 51*g**2/2 + 233*g. Let y(w) be the second derivative of l(w). Factor y(q).
(q - 42)*(q + 1)/4
Determine t so that 2/7*t**4 + 0 + 2*t**3 + 24/7*t + 32/7*t**2 = 0.
-3, -2, 0
Let i(v) be the third derivative of v**7/210 + 63*v**6/40 - 287*v**5/30 + 16*v**4 + 2906*v**2. Let i(t) = 0. Calculate t.
-192, 0, 1, 2
Let a = 1488 - 1483. Let o(k) be the first derivative of 20 + 7*k**3 - 9/4*k**4 - 3/10*k**a - 33/4*k**2 + 1/4*k**6 + 9/2*k. Factor o(b).
3*(b - 1)**4*(b + 3)/2
Let d(c) be the third derivative of c**8/504 + 2*c**7/21 + 53*c**6/30 + 136*c**5/9 + 209*c**4/4 + 90*c**3 - 50*c**2 + 2*c. Solve d(r) = 0 for r.
-10, -9, -1
Let f(b) be the first derivative of 0*b + 9/28*b**4 - 1/14*b**2 - 1/7*b**3 - 1/7*b**5 - 68. Factor f(x).
-x*(x - 1)**2*(5*x + 1)/7
Let n(k) be the first derivative of 0*k + 3/32*k**4 - 58 + 0*k**2 - 1/40*k**5 - 1/12*k**3. Factor n(q).
-q**2*(q - 2)*(q - 1)/8
Suppose 175*q - 17*q = 632. Let r(j) be the third derivative of -1/10*j**3 - 1/600*j**5 + 0 - 5*j**2 - 1/48*j**q + 0*j. Factor r(x).
-(x + 2)*(x + 3)/10
Factor 140*v**2 + 3075*v + 5/3*v**3 + 16810/3.
5*(v + 2)*(v + 41)**2/3
Let a = 8/14623 + 8348/14623. Factor -54/7*v**2 + 0 + a*v.
-2*v*(27*v - 2)/7
Let g(f) be the first derivative of -2*f**3/27 + 41*f**2/9 - 52*f/3 - 5249. Factor g(x).
-2*(x - 39)*(x - 2)/9
Suppose -5*y = -0*y + 4*c - 1416, 4*c + 4 = 0. Let g = -850/3 + y. Find z such that 4/3*z + 2/3 + g*z**2 = 0.
-1
Factor -165 - 2737/3*n**2 + 49/3*n**3 + 773*n.
(n - 55)*(7*n - 3)**2/3
Let s be (20 - 31) + 12 + 1. Let d(p) be the first derivative of -6 + 4*p**3 - 15/2*p**s - 3/4*p**4 + 6*p. Factor d(w).
-3*(w - 2)*(w - 1)**2
Suppose -1528*z**2 - 26529*z**2 + 1241*z**2 - 3740828*z**3 + 1249924*z**4 - 48*z = 0. What is z?
-2/559, 0, 3
Let c(a) be the first derivative of 0*a - 3/25*a**5 + 12/5*a**2 - 78 - 3/4*a**4 - 2/5*a**3. Factor c(w).
-3*w*(w - 1)*(w + 2)*(w + 4)/5
Let o = 5788308 - 28811098/5. Factor -26918/5*q**3 - 17576/5 - o*q**2 - 398*q**4 - 10*q**5 - 91936/5*q.
-2*(q + 13)**3*(5*q + 2)**2/5
Let f(p) be the third derivative of -31*p**7/105 - 281*p**6/60 - 34*p**5/5 + 121*p**4/3 + 32*p**3/3 + p**2 - 53. Suppose f(a) = 0. What is a?
-8, -2, -2/31, 1
Determine a so that 9*a + 4627 - 2330 - a**2 - 2207 = 0.
-6, 15
Let y(l) = -19