 + 0*o. Factor l(r).
6*r*(r + 1)*(15*r + 2)/11
Let n(w) = -16*w**2 + 178*w - 199. Let c(v) = -5*v**2 + 56*v - 66. Let d(l) = -19*c(l) + 6*n(l). Factor d(a).
-(a - 10)*(a + 6)
Let y be 1*11 + 53/(1166/132) + -14. Suppose 0 + 10/3*m + 20/3*m**2 - 25/6*m**y = 0. What is m?
-2/5, 0, 2
Suppose 115/3*s**2 - 92/3*s - 85/3*s**4 + 134/3*s**3 + 4 = 0. Calculate s.
-1, 3/17, 2/5, 2
Suppose -15 = -3*c + 2*g, 5*g - 4*g = 4*c - 20. Suppose -i + 3*m + 84 = 23, 249 = c*i - m. Factor -33 + 57 - i + 45*y + 15*y**4 + 10*y**2 + 5*y**5 - 50*y**3.
5*(y - 1)**3*(y + 1)*(y + 5)
Let k be -51 - 42*1740/(-1421). Let 0 - 15/7*c - k*c**2 = 0. What is c?
-5, 0
Let s = 17903 - 17903. Let h(g) be the third derivative of -1/6*g**5 + s*g + 0 - 1/80*g**6 - 3/2*g**3 + 25*g**2 - 13/16*g**4. Determine d, given that h(d) = 0.
-3, -2/3
Let h(f) be the first derivative of -5*f**3/3 - f**2/2 + 6*f + 1322. Let o(k) = 4*k**2 - 2 + 3*k - 3 - 2*k. Let b(m) = -5*h(m) - 6*o(m). Factor b(z).
z*(z - 1)
Let c(i) be the first derivative of -i**4/6 - 100*i**3/9 - 1667. Factor c(s).
-2*s**2*(s + 50)/3
Let a(o) be the first derivative of -o**6/240 + 13*o**5/80 + 15*o**4/8 - 20*o**3 - o - 146. Let k(c) be the third derivative of a(c). Let k(h) = 0. Calculate h.
-2, 15
Factor -60*d - d**2 - 151 + 26 + 66.
-(d + 1)*(d + 59)
Let s = -447 - -449. Factor 2*r**4 + 4*r**s + 6*r**2 - 8*r**3 - 41*r + 37*r.
2*r*(r - 2)*(r - 1)**2
Let i be (-57 + 56)*12/14*-6. Factor 4/7*u**3 - i - 4*u**2 - 68/7*u.
4*(u - 9)*(u + 1)**2/7
Let b = -1 + 3. Suppose -m = -3*m - 4*y, 5*m + b*y - 16 = 0. What is i in -2*i**2 + m*i - 25 + 39 - 16 = 0?
1
Let b(u) = -3*u**3 + 4*u**2 - u + 3. Let h be b(0). Let d(t) = 2*t**2. Let n be d(-1). Factor 0*z**2 + 4*z + 3*z**n - 4*z**2 - h*z.
-z*(z - 1)
Let m be (-957)/(-522) + ((-2)/(-12)*2 - 1). Let h(f) be the second derivative of -m*f**3 + 0 + 3/4*f**4 + 12*f + f**2 + 1/30*f**6 - 1/4*f**5. Solve h(d) = 0.
1, 2
Let f(c) = 2*c**2 - 89*c + 1058. Let i(z) = -3*z - 60. Let d be i(-18). Let y(b) = 4*b**2 - 177*b + 2116. Let g(l) = d*y(l) + 14*f(l). Let g(w) = 0. What is w?
23
Let n(s) be the first derivative of -290 + 57/2*s**2 + 3/4*s**4 + 8*s**3 + 36*s. Suppose n(h) = 0. Calculate h.
-4, -3, -1
Suppose 342*h - 71 + 71 = 0. Let s(m) be the third derivative of 0 + h*m + 45/32*m**5 + 1/4*m**3 - 3*m**2 - 15/16*m**4. Factor s(g).
3*(15*g - 2)**2/8
Find l such that -574/11*l**2 + 18/11*l**4 + 230/11*l**3 + 386/11*l - 60/11 = 0.
-15, 2/9, 1
Let s(l) be the second derivative of l**6/15 - 48*l**5/5 + 735*l**4/2 + 4802*l**3/3 + 860*l + 1. Factor s(u).
2*u*(u - 49)**2*(u + 2)
Let q(p) = -7*p - 159. Let c be q(-35). Find a such that 19*a - c + 117*a + 4*a**2 - 54 = 0.
-35, 1
Let d = 1541/3 - 17107/33. Let o = d + 115/22. Factor 0*m + 3/2*m**2 + m**3 + 0 - o*m**4.
-m**2*(m - 3)*(m + 1)/2
Let b(r) be the third derivative of 5/3*r**4 + 196*r**2 + 11/6*r**5 + 1/14*r**7 + 0*r**3 + 17/24*r**6 + 0*r + 0. Factor b(u).
5*u*(u + 1)*(u + 4)*(3*u + 2)
Factor -73*u**2 + 93*u + 15*u**3 + 18 + 144*u**2 - u**4 + 20.
-(u - 19)*(u + 1)**2*(u + 2)
Let k(m) be the second derivative of -2 - 605/12*m**3 - 6655/12*m**2 - 1/24*m**5 - 55/24*m**4 - 26*m. Find z, given that k(z) = 0.
-11
Let g = -147108 + 1176873/8. Determine t so that 69/8*t + 9/4 + 6*t**2 + g*t**3 = 0.
-3, -2, -1/3
Factor 4*l**3 + 496*l**2 + 272*l**2 + 291*l**2 + 4256*l + 4240 + 17*l**2.
4*(l + 2)**2*(l + 265)
Suppose -36/7 + 18/7*o**3 - 68/7*o**2 + 8/7*o**4 - 162/7*o = 0. What is o?
-3, -2, -1/4, 3
Let h(q) be the first derivative of q**3/12 - 2481*q**2/8 + 620*q - 4392. Let h(y) = 0. Calculate y.
1, 2480
Find b such that 109/6*b + 0 + 1/6*b**2 = 0.
-109, 0
Let d(y) = y**2 + 1. Let n be ((-11 + 9)/2)/(1 - 0). Let j(k) = -20*k**2 - 20*k - 8. Let h(i) = n*j(i) - 24*d(i). Find a, given that h(a) = 0.
1, 4
Let s(y) be the first derivative of 27*y**4 - 10*y**3 - 4*y**2 - 113. Suppose s(r) = 0. Calculate r.
-1/6, 0, 4/9
Let d(u) = 2*u**4 + 18*u**3 - 28*u**2 - 168*u + 388. Let o(m) = 3*m**4 + 36*m**3 - 55*m**2 - 334*m + 775. Let k(q) = -7*d(q) + 4*o(q). Factor k(l).
-2*(l - 4)**3*(l + 3)
Let i(b) be the first derivative of 2*b**3/39 + 9*b**2/13 - 1584*b/13 + 2161. Let i(s) = 0. Calculate s.
-33, 24
Let d = -3924 - -2335. Let k = d + 4774/3. Determine m so that -k*m**4 + 19/3*m**3 + 1/3*m**5 - 4/3 - 25/3*m**2 + 16/3*m = 0.
1, 2
Let -2/3*x**5 - 28*x**3 - 28/3*x**4 + 86/3*x - 32/3*x**2 + 20 = 0. What is x?
-10, -3, -1, 1
Suppose 53836*c = 53840*c. Let f(w) be the third derivative of c*w**4 + 8*w**2 + 0 + 0*w + 0*w**3 + 1/210*w**5. Factor f(l).
2*l**2/7
Let j(s) be the second derivative of 3*s**5/130 - 10*s**4/39 - 1231*s**3/39 - 408*s**2/13 + 6*s + 11. What is z in j(z) = 0?
-17, -1/3, 24
Let l(i) be the first derivative of -i**4/44 + 8*i**3/11 - 153*i**2/22 + 130*i/11 - 6170. What is y in l(y) = 0?
1, 10, 13
Factor -26/7*y**4 - 22/7*y**2 + 0 - 46/7*y**3 + 0*y - 2/7*y**5.
-2*y**2*(y + 1)**2*(y + 11)/7
Let n be ((-11)/(-2))/(-11) - (-5)/(-2). Let x(u) = -2*u**3 + 6*u**2 + 4*u - 8. Let d(j) = j**3 - 7*j**2 - 5*j + 6. Let r(s) = n*x(s) - 4*d(s). Factor r(a).
2*a*(a + 1)*(a + 4)
Find n such that -6614*n**2 + 25*n**4 - 752*n**3 - 59*n**4 - 5414*n**2 - 7688*n + 22*n**4 = 0.
-31, -2/3, 0
Let d(a) be the first derivative of a**5/15 - 49*a**4/12 + 169*a**3/9 + 163*a**2/2 + 90*a + 5245. Factor d(f).
(f - 45)*(f - 6)*(f + 1)**2/3
Let r(q) = -8*q**3 + 136*q**2 + 282*q + 177. Let c(i) = 5*i**3 - 82*i**2 - 169*i - 106. Let u(j) = -13*c(j) - 8*r(j). Factor u(y).
-(y + 1)*(y + 2)*(y + 19)
Factor 3420/7*n**3 - 41628/7*n**2 + 60192/7*n - 75/7*n**4 - 23232/7.
-3*(n - 22)**2*(5*n - 4)**2/7
Let b(l) be the second derivative of l**4/48 - 31*l**3/24 + 21*l**2 - 712*l. Determine f so that b(f) = 0.
7, 24
Let t be 11/(-44)*6*1/2*-2. Let y(s) be the second derivative of 3*s**2 - 49*s + t*s**3 + 0 + 1/4*s**4. Factor y(c).
3*(c + 1)*(c + 2)
Let l(f) = -5*f**2 + 5*f + 40. Let h be l(10). Let q = h - -413. Factor -1/6*u + 1/6*u**q + 2/3 - 2/3*u**2.
(u - 4)*(u - 1)*(u + 1)/6
Let c be (-1)/2 - 90139/(-2934). Let d = c - 260/9. Let d*y**2 - 1/3*y + 0 = 0. What is y?
0, 1/4
Let l = 7831/4564 - -39/1141. What is i in 13/4*i**2 + 1/4*i**5 + i + 0 + 15/4*i**3 + l*i**4 = 0?
-4, -1, 0
Let r(m) = 16*m**2 + 5*m + 5. Let t be r(-1). Suppose 4*n = 3*z + 52, 0 = 2*z + 2*z - t. Let 34*h + 0*h**2 + n + 5*h**2 + 9*h**2 + 26*h = 0. Calculate h.
-4, -2/7
Suppose -8 = 5*m - 18. Let l be m/(-6)*0/(-9). Determine c, given that -1/6*c**5 - 1/3*c**2 + 1/2*c**3 + 0 + l*c + 0*c**4 = 0.
-2, 0, 1
Let b(q) be the third derivative of -1/630*q**7 + 0*q**5 + 190*q**2 + 0*q**6 + 0*q**4 + 0 + 0*q**3 + 1/2016*q**8 + 0*q. Suppose b(p) = 0. What is p?
0, 2
Let b(o) be the second derivative of o**5/60 + 11*o**4/9 - 91*o**3/18 + 23*o**2/3 + 9778*o. Factor b(f).
(f - 1)**2*(f + 46)/3
Let y(h) be the third derivative of 2*h**7/105 - 17*h**5/15 - 6*h**4 - 40*h**3/3 - 1498*h**2. Factor y(z).
4*(z - 5)*(z + 1)*(z + 2)**2
Suppose -8*i + 25 = -3*i. Suppose 0 = y - 1 - i. Factor -8*g**3 + 6*g**5 + 11*g**5 - y*g**5 - 8*g**4 + 19*g**5.
2*g**3*(3*g - 2)*(5*g + 2)
Let w(j) be the first derivative of -1 - 1/480*j**5 + 0*j - 1/24*j**3 + 13/2*j**2 + 1/64*j**4. Let s(o) be the second derivative of w(o). Factor s(l).
-(l - 2)*(l - 1)/8
Let w(s) = -25*s**3 + 12*s**2 - 15*s + 48. Let y(r) = -2*r**3 + r + 4. Let f(o) = w(o) - 12*y(o). Factor f(x).
-x*(x - 9)*(x - 3)
Let v = -329/45 - -517/36. Let d = 33/4 - v. Solve -d*n - 1/10*n**3 + 4/5 + 3/5*n**2 = 0.
2
Let k(u) be the first derivative of 3*u**5/35 - 2157*u**4/28 + 205*u**3 - 2151*u**2/14 + 4477. Factor k(r).
3*r*(r - 717)*(r - 1)**2/7
Let m(t) be the first derivative of t**7/210 + t**6/3 + 29*t**5/30 + 109*t**3/3 + 117. Let n(z) be the third derivative of m(z). Suppose n(r) = 0. What is r?
-29, -1, 0
Let y be (-597)/1393 + 6/14. Let m(d) be the first derivative of 5/24*d**4 - 16 + 0*d**3 + 0*d + y*d**2. Find k such that m(k) = 0.
0
Find b, given that 10365363*b**4 - b**5 - 10365199*b**4 - 264*b**3 + 4212 - 1944*b**2 + 2700*b - 3*b**5 = 0.
-3, -1, 3, 39
Suppose -2*v - 630 = -7*v. Let 66*s - s**2 - v*s + 74*s - 49 = 0. Calculate s.
7
Suppose -o + 5*h = -37 + 27, -2 = 2*o + h. Let l(r) be the third derivative of o + 0*r**4 - 15*r**2 - 4/15*r**3 + 0*r + 7/150*r**5 - 1/100*r**6. Factor l(m).
-2*(m - 2)*(m